{"schema_version":"2.3.0","dataset_version":"m1-m1001-v1","id":"fibonacci-m926-p2784","name":"Fibonacci M926P2784","modulus":926,"pisano_period":2784,"conventions":{"index_origin":0,"clock_labels":[2784,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,2254,2255,2256,2257,2258,2259,2260,2261,2262,2263,2264,2265,2266,2267,2268,2269,2270,2271,2272,2273,2274,2275,2276,2277,2278,2279,2280,2281,2282,2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2293,2294,2295,2296,2297,2298,2299,2300,2301,2302,2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,2337,2338,2339,2340,2341,2342,2343,2344,2345,2346,2347,2348,2349,2350,2351,2352,2353,2354,2355,2356,2357,2358,2359,2360,2361,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2374,2375,2376,2377,2378,2379,2380,2381,2382,2383,2384,2385,2386,2387,2388,2389,2390,2391,2392,2393,2394,2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,2409,2410,2411,2412,2413,2414,2415,2416,2417,2418,2419,2420,2421,2422,2423,2424,2425,2426,2427,2428,2429,2430,2431,2432,2433,2434,2435,2436,2437,2438,2439,2440,2441,2442,2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,2455,2456,2457,2458,2459,2460,2461,2462,2463,2464,2465,2466,2467,2468,2469,2470,2471,2472,2473,2474,2475,2476,2477,2478,2479,2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2504,2505,2506,2507,2508,2509,2510,2511,2512,2513,2514,2515,2516,2517,2518,2519,2520,2521,2522,2523,2524,2525,2526,2527,2528,2529,2530,2531,2532,2533,2534,2535,2536,2537,2538,2539,2540,2541,2542,2543,2544,2545,2546,2547,2548,2549,2550,2551,2552,2553,2554,2555,2556,2557,2558,2559,2560,2561,2562,2563,2564,2565,2566,2567,2568,2569,2570,2571,2572,2573,2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,2589,2590,2591,2592,2593,2594,2595,2596,2597,2598,2599,2600,2601,2602,2603,2604,2605,2606,2607,2608,2609,2610,2611,2612,2613,2614,2615,2616,2617,2618,2619,2620,2621,2622,2623,2624,2625,2626,2627,2628,2629,2630,2631,2632,2633,2634,2635,2636,2637,2638,2639,2640,2641,2642,2643,2644,2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2662,2663,2664,2665,2666,2667,2668,2669,2670,2671,2672,2673,2674,2675,2676,2677,2678,2679,2680,2681,2682,2683,2684,2685,2686,2687,2688,2689,2690,2691,2692,2693,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2715,2716,2717,2718,2719,2720,2721,2722,2723,2724,2725,2726,2727,2728,2729,2730,2731,2732,2733,2734,2735,2736,2737,2738,2739,2740,2741,2742,2743,2744,2745,2746,2747,2748,2749,2750,2751,2752,2753,2754,2755,2756,2757,2758,2759,2760,2761,2762,2763,2764,2765,2766,2767,2768,2769,2770,2771,2772,2773,2774,2775,2776,2777,2778,2779,2780,2781,2782,2783],"orientation":"clockwise from north","zero_display":926,"alpha_circle_positions":2784,"beta_circle_positions":926,"node_rule":"Native residues divisible by 3, including zero; preserves the approved M6/M9/M12 reference selection. Additional regular formations of all native values are catalogued separately.","m1_convention":"Modulo 1 has period 1 and residue 0."},"alpha":{"residues":[0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,61,671,732,477,283,760,117,877,68,19,87,106,193,299,492,791,357,222,579,801,454,329,783,186,43,229,272,501,773,348,195,543,738,355,167,522,689,285,48,333,381,714,169,883,126,83,209,292,501,793,368,235,603,838,515,427,16,443,459,902,435,411,846,331,251,582,833,489,396,885,355,314,669,57,726,783,583,440,97,537,634,245,879,198,151,349,500,849,423,346,769,189,32,221,253,474,727,275,76,351,427,778,279,131,410,541,25,566,591,231,822,127,23,150,173,323,496,819,389,282,671,27,698,725,497,296,793,163,30,193,223,416,639,129,768,897,739,710,523,307,830,211,115,326,441,767,282,123,405,528,7,535,542,151,693,844,611,529,214,743,31,774,805,653,532,259,791,124,915,113,102,215,317,532,849,455,378,833,285,192,477,669,220,889,183,146,329,475,804,353,231,584,815,473,362,835,271,180,451,631,156,787,17,804,821,699,594,367,35,402,437,839,350,263,613,876,563,513,150,663,813,550,437,61,498,559,131,690,821,585,480,139,619,758,451,283,734,91,825,916,815,805,694,573,341,914,329,317,646,37,683,720,477,271,748,93,841,8,849,857,780,711,565,350,915,339,328,667,69,736,805,615,494,183,677,860,611,545,230,775,79,854,7,861,868,803,745,622,441,137,578,715,367,156,523,679,276,29,305,334,639,47,686,733,493,300,793,167,34,201,235,436,671,181,852,107,33,140,173,313,486,799,359,232,591,823,488,385,873,332,279,611,890,575,539,188,727,915,716,705,495,274,769,117,886,77,37,114,151,265,416,681,171,852,97,23,120,143,263,406,669,149,818,41,859,900,833,807,714,595,383,52,435,487,922,483,479,36,515,551,140,691,831,596,501,171,672,843,589,506,169,675,844,593,511,178,689,867,630,571,275,846,195,115,310,425,735,234,43,277,320,597,917,588,579,241,820,135,29,164,193,357,550,907,531,512,117,629,746,449,269,718,61,779,840,693,607,374,55,429,484,913,471,458,3,461,464,925,463,462,925,461,460,921,455,450,905,429,408,837,319,230,549,779,402,255,657,912,643,629,346,49,395,444,839,357,270,627,897,598,569,241,810,125,9,134,143,277,420,697,191,888,153,115,268,383,651,108,759,867,700,641,415,130,545,675,294,43,337,380,717,171,888,133,95,228,323,551,874,499,447,20,467,487,28,515,543,132,675,807,556,437,67,504,571,149,720,869,663,606,343,23,366,389,755,218,47,265,312,577,889,540,503,117,620,737,431,242,673,915,662,651,387,112,499,611,184,795,53,848,901,823,798,695,567,336,903,313,290,603,893,570,537,181,718,899,691,664,429,167,596,763,433,270,703,47,750,797,621,492,187,679,866,619,559,252,811,137,22,159,181,340,521,861,456,391,847,312,233,545,778,397,249,646,895,615,584,273,857,204,135,339,474,813,361,248,609,857,540,471,85,556,641,271,912,257,243,500,743,317,134,451,585,110,695,805,574,453,101,554,655,283,12,295,307,602,909,585,568,227,795,96,891,61,26,87,113,200,313,513,826,413,313,726,113,839,26,865,891,830,795,699,568,341,909,324,307,631,12,643,655,372,101,473,574,121,695,816,585,475,134,609,743,426,243,669,912,655,641,370,85,455,540,69,609,678,361,113,474,587,135,722,857,653,584,311,895,280,249,529,778,381,233,614,847,535,456,65,521,586,181,767,22,789,811,674,559,307,866,247,187,434,621,129,750,879,703,656,433,163,596,759,429,262,691,27,718,745,537,356,893,323,290,613,903,590,567,231,798,103,901,78,53,131,184,315,499,814,387,275,662,11,673,684,431,189,620,809,503,386,889,349,312,661,47,708,755,537,366,903,343,320,663,57,720,777,571,422,67,489,556,119,675,794,543,411,28,439,467,906,447,427,874,375,323,698,95,793,888,755,717,546,337,883,294,251,545,796,415,285,700,59,759,818,651,543,268,811,153,38,191,229,420,649,143,792,9,801,810,685,569,328,897,299,270,569,839,482,395,877,346,297,643,14,657,671,402,147,549,696,319,89,408,497,905,476,455,5,460,465,925,464,463,1,464,465,3,468,471,13,484,497,55,552,607,233,840,147,61,208,269,477,746,297,117,414,531,19,550,569,193,762,29,791,820,685,579,338,917,329,320,649,43,692,735,501,310,811,195,80,275,355,630,59,689,748,511,333,844,251,169,420,589,83,672,755,501,330,831,235,140,375,515,890,479,443,922,439,435,874,383,331,714,119,833,26,859,885,818,777,669,520,263,783,120,903,97,74,171,245,416,661,151,812,37,849,886,809,769,652,495,221,716,11,727,738,539,351,890,315,279,594,873,541,488,103,591,694,359,127,486,613,173,786,33,819,852,745,671,490,235,725,34,759,793,626,493,193,686,879,639,592,305,897,276,247,523,770,367,211,578,789,441,304,745,123,868,65,7,72,79,151,230,381,611,66,677,743,494,311,805,190,69,259,328,587,915,576,565,215,780,69,849,918,841,833,748,655,477,206,683,889,646,609,329,12,341,353,694,121,815,10,825,835,734,643,451,168,619,787,480,341,821,236,131,367,498,865,437,376,813,263,150,413,563,50,613,663,350,87,437,524,35,559,594,227,821,122,17,139,156,295,451,746,271,91,362,453,815,342,231,573,804,451,329,780,183,37,220,257,477,734,285,93,378,471,849,394,317,711,102,813,915,802,791,667,532,273,805,152,31,183,214,397,611,82,693,775,542,391,7,398,405,803,282,159,441,600,115,715,830,619,523,216,739,29,768,797,639,510,223,733,30,763,793,630,497,201,698,899,671,644,389,107,496,603,173,776,23,799,822,695,591,360,25,385,410,795,279,148,427,575,76,651,727,452,253,705,32,737,769,580,423,77,500,577,151,728,879,681,634,389,97,486,583,143,726,869,669,612,355,41,396,437,833,344,251,595,846,515,435,24,459,483,16,499,515,88,603,691,368,133,501,634,209,843,126,43,169,212,381,593,48,641,689,404,167,571,738,383,195,578,773,425,272,697,43,740,783,597,454,125,579,704,357,135,492,627,193,820,87,907,68,49,117,166,283,449,732,255,61,316,377,693,144,837,55,892,21,913,8,921,3,924,1,925,0,925,925,924,923,921,918,913,905,892,871,837,782,693,549,316,865,255,194,449,643,166,809,49,858,907,839,820,733,627,434,135,569,704,347,125,472,597,143,740,883,697,654,425,153,578,731,383,188,571,759,404,237,641,878,593,545,212,757,43,800,843,717,634,425,133,558,691,323,88,411,499,910,483,467,24,491,515,80,595,675,344,93,437,530,41,571,612,257,869,200,143,343,486,829,389,292,681,47,728,775,577,426,77,503,580,157,737,894,705,673,452,199,651,850,575,499,148,647,795,516,385,901,360,335,695,104,799,903,776,753,603,430,107,537,644,255,899,228,201,429,630,133,763,896,733,703,510,287,797,158,29,187,216,403,619,96,715,811,600,485,159,644,803,521,398,919,391,384,775,233,82,315,397,712,183,895,152,121,273,394,667,135,802,11,813,824,711,609,394,77,471,548,93,641,734,449,257,706,37,743,780,597,451,122,573,695,342,111,453,564,91,655,746,475,295,770,139,909,122,105,227,332,559,891,524,489,87,576,663,313,50,363,413,776,263,113,376,489,865,428,367,795,236,105,341,446,787,307,168,475,643,192,835,101,10,111,121,232,353,585,12,597,609,280,889,243,206,449,655,178,833,85,918,77,69,146,215,361,576,11,587,598,259,857,190,121,311,432,743,249,66,315,381,696,151,847,72,919,65,58,123,181,304,485,789,348,211,559,770,403,247,650,897,621,592,287,879,240,193,433,626,133,759,892,725,691,490,255,745,74,819,893,786,753,613,440,127,567,694,335,103,438,541,53,594,647,315,36,351,387,738,199,11,210,221,431,652,157,809,40,849,889,812,775,661,510,245,755,74,829,903,806,783,663,520,257,777,108,885,67,26,93,119,212,331,543,874,491,439,4,443,447,890,411,375,786,235,95,330,425,755,254,83,337,420,757,251,82,333,415,748,237,59,296,355,651,80,731,811,616,501,191,692,883,649,606,329,9,338,347,685,106,791,897,762,733,569,376,19,395,414,809,297,180,477,657,208,865,147,86,233,319,552,871,497,442,13,455,468,923,465,462,1,463,464,1,465,466,5,471,476,21,497,518,89,607,696,377,147,524,671,269,14,283,297,580,877,531,482,87,569,656,299,29,328,357,685,116,801,917,792,783,649,506,229,735,38,773,811,658,543,275,818,167,59,226,285,511,796,381,251,632,883,589,546,209,755,38,793,831,698,603,375,52,427,479,906,459,439,898,411,383,794,251,119,370,489,859,422,355,777,206,57,263,320,583,903,560,537,171,708,879,661,614,349,37,386,423,809,306,189,495,684,253,11,264,275,539,814,427,315,742,131,873,78,25,103,128,231,359,590,23,613,636,323,33,356,389,745,208,27,235,262,497,759,330,163,493,656,223,879,176,129,305,434,739,247,60,307,367,674,115,789,904,767,745,586,405,65,470,535,79,614,693,381,148,529,677,280,31,311,342,653,69,722,791,587,452,113,565,678,317,69,386,455,841,370,285,655,14,669,683,426,183,609,792,475,341,816,231,121,352,473,825,372,271,643,914,631,619,324,17,341,358,699,131,830,35,865,900,839,813,726,613,413,100,513,613,200,813,87,900,61,35,96,131,227,358,585,17,602,619,295,914,283,271,554,825,453,352,805,231,110,341,451,792,317,183,500,683,257,14,271,285,556,841,471,386,857,317,248,565,813,452,339,791,204,69,273,342,615,31,646,677,397,148,545,693,312,79,391,470,861,405,340,745,159,904,137,115,252,367,619,60,679,739,492,305,797,176,47,223,270,493,763,330,167,497,664,235,899,208,181,389,570,33,603,636,313,23,336,359,695,128,823,25,848,873,795,742,611,427,112,539,651,264,915,253,242,495,737,306,117,423,540,37,577,614,265,879,218,171,389,560,23,583,606,263,869,206,149,355,504,859,437,370,807,251,132,383,515,898,487,459,20,479,499,52,551,603,228,831,133,38,171,209,380,589,43,632,675,381,130,511,641,226,867,167,108,275,383,658,115,773,888,735,697,506,277,783,134,917,125,116,241,357,598,29,627,656,357,87,444,531,49,580,629,283,912,269,255,524,779,377,230,607,837,518,429,21,450,471,921,466,461,1,462,463,925,462,461,923,458,455,913,442,429,871,374,319,693,86,779,865,718,657,449,180,629,809,512,395,907,376,357,733,164,897,135,106,241,347,588,9,597,606,277,883,234,191,425,616,115,731,846,651,571,296,867,237,178,415,593,82,675,757,506,337,843,254,171,425,596,95,691,786,551,411,36,447,483,4,487,491,52,543,595,212,807,93,900,67,41,108,149,257,406,663,143,806,23,829,852,755,681,510,265,775,114,889,77,40,117,157,274,431,705,210,915,199,188,387,575,36,611,647,332,53,385,438,823,335,232,567,799,440,313,753,140,893,107,74,181,255,436,691,201,892,167,133,300,433,733,240,47,287,334,621,29,650,679,403,156,559,715,348,137,485,622,181,803,58,861,919,854,847,775,696,545,315,860,249,183,432,615,121,736,857,667,598,339,11,350,361,711,146,857,77,8,85,93,178,271,449,720,243,37,280,317,597,914,585,573,232,805,111,916,101,91,192,283,475,758,307,139,446,585,105,690,795,559,428,61,489,550,113,663,776,513,363,876,313,263,576,839,489,402,891,367,332,699,105,804,909,787,770,631,475,180,655,835,564,473,111,584,695,353,122,475,597,146,743,889,706,669,449,192,641,833,548,455,77,532,609,215,824,113,11,124,135,259,394,653,121,774,895,743,712,529,315,844,233,151,384,535,919,528,521,123,644,767,485,326,811,211,96,307,403,710,187,897,158,129,287,416,703,193,896,163,133,296,429,725,228,27,255,282,537,819,430,323,753,150,903,127,104,231,335,566,901,541,516,131,647,778,499,351,850,275,199,474,673,221,894,189,157,346,503,849,426,349,775,198,47,245,292,537,829,440,343,783,200,57,257,314,571,885,530,489,93,582,675,331,80,411,491,902,467,443,910,427,411,838,323,235,558,793,425,292,717,83,800,883,757,714,545,333,878,285,237,522,759,355,188,543,731,348,153,501,654,229,883,186,143,329,472,801,347,222,569,791,434,299,733,106,839,19,858,877,809,760,643,477,194,671,865,610,549,233,782,89,871,34,905,13,918,5,923,2,925,1],"display_values":[926,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,61,671,732,477,283,760,117,877,68,19,87,106,193,299,492,791,357,222,579,801,454,329,783,186,43,229,272,501,773,348,195,543,738,355,167,522,689,285,48,333,381,714,169,883,126,83,209,292,501,793,368,235,603,838,515,427,16,443,459,902,435,411,846,331,251,582,833,489,396,885,355,314,669,57,726,783,583,440,97,537,634,245,879,198,151,349,500,849,423,346,769,189,32,221,253,474,727,275,76,351,427,778,279,131,410,541,25,566,591,231,822,127,23,150,173,323,496,819,389,282,671,27,698,725,497,296,793,163,30,193,223,416,639,129,768,897,739,710,523,307,830,211,115,326,441,767,282,123,405,528,7,535,542,151,693,844,611,529,214,743,31,774,805,653,532,259,791,124,915,113,102,215,317,532,849,455,378,833,285,192,477,669,220,889,183,146,329,475,804,353,231,584,815,473,362,835,271,180,451,631,156,787,17,804,821,699,594,367,35,402,437,839,350,263,613,876,563,513,150,663,813,550,437,61,498,559,131,690,821,585,480,139,619,758,451,283,734,91,825,916,815,805,694,573,341,914,329,317,646,37,683,720,477,271,748,93,841,8,849,857,780,711,565,350,915,339,328,667,69,736,805,615,494,183,677,860,611,545,230,775,79,854,7,861,868,803,745,622,441,137,578,715,367,156,523,679,276,29,305,334,639,47,686,733,493,300,793,167,34,201,235,436,671,181,852,107,33,140,173,313,486,799,359,232,591,823,488,385,873,332,279,611,890,575,539,188,727,915,716,705,495,274,769,117,886,77,37,114,151,265,416,681,171,852,97,23,120,143,263,406,669,149,818,41,859,900,833,807,714,595,383,52,435,487,922,483,479,36,515,551,140,691,831,596,501,171,672,843,589,506,169,675,844,593,511,178,689,867,630,571,275,846,195,115,310,425,735,234,43,277,320,597,917,588,579,241,820,135,29,164,193,357,550,907,531,512,117,629,746,449,269,718,61,779,840,693,607,374,55,429,484,913,471,458,3,461,464,925,463,462,925,461,460,921,455,450,905,429,408,837,319,230,549,779,402,255,657,912,643,629,346,49,395,444,839,357,270,627,897,598,569,241,810,125,9,134,143,277,420,697,191,888,153,115,268,383,651,108,759,867,700,641,415,130,545,675,294,43,337,380,717,171,888,133,95,228,323,551,874,499,447,20,467,487,28,515,543,132,675,807,556,437,67,504,571,149,720,869,663,606,343,23,366,389,755,218,47,265,312,577,889,540,503,117,620,737,431,242,673,915,662,651,387,112,499,611,184,795,53,848,901,823,798,695,567,336,903,313,290,603,893,570,537,181,718,899,691,664,429,167,596,763,433,270,703,47,750,797,621,492,187,679,866,619,559,252,811,137,22,159,181,340,521,861,456,391,847,312,233,545,778,397,249,646,895,615,584,273,857,204,135,339,474,813,361,248,609,857,540,471,85,556,641,271,912,257,243,500,743,317,134,451,585,110,695,805,574,453,101,554,655,283,12,295,307,602,909,585,568,227,795,96,891,61,26,87,113,200,313,513,826,413,313,726,113,839,26,865,891,830,795,699,568,341,909,324,307,631,12,643,655,372,101,473,574,121,695,816,585,475,134,609,743,426,243,669,912,655,641,370,85,455,540,69,609,678,361,113,474,587,135,722,857,653,584,311,895,280,249,529,778,381,233,614,847,535,456,65,521,586,181,767,22,789,811,674,559,307,866,247,187,434,621,129,750,879,703,656,433,163,596,759,429,262,691,27,718,745,537,356,893,323,290,613,903,590,567,231,798,103,901,78,53,131,184,315,499,814,387,275,662,11,673,684,431,189,620,809,503,386,889,349,312,661,47,708,755,537,366,903,343,320,663,57,720,777,571,422,67,489,556,119,675,794,543,411,28,439,467,906,447,427,874,375,323,698,95,793,888,755,717,546,337,883,294,251,545,796,415,285,700,59,759,818,651,543,268,811,153,38,191,229,420,649,143,792,9,801,810,685,569,328,897,299,270,569,839,482,395,877,346,297,643,14,657,671,402,147,549,696,319,89,408,497,905,476,455,5,460,465,925,464,463,1,464,465,3,468,471,13,484,497,55,552,607,233,840,147,61,208,269,477,746,297,117,414,531,19,550,569,193,762,29,791,820,685,579,338,917,329,320,649,43,692,735,501,310,811,195,80,275,355,630,59,689,748,511,333,844,251,169,420,589,83,672,755,501,330,831,235,140,375,515,890,479,443,922,439,435,874,383,331,714,119,833,26,859,885,818,777,669,520,263,783,120,903,97,74,171,245,416,661,151,812,37,849,886,809,769,652,495,221,716,11,727,738,539,351,890,315,279,594,873,541,488,103,591,694,359,127,486,613,173,786,33,819,852,745,671,490,235,725,34,759,793,626,493,193,686,879,639,592,305,897,276,247,523,770,367,211,578,789,441,304,745,123,868,65,7,72,79,151,230,381,611,66,677,743,494,311,805,190,69,259,328,587,915,576,565,215,780,69,849,918,841,833,748,655,477,206,683,889,646,609,329,12,341,353,694,121,815,10,825,835,734,643,451,168,619,787,480,341,821,236,131,367,498,865,437,376,813,263,150,413,563,50,613,663,350,87,437,524,35,559,594,227,821,122,17,139,156,295,451,746,271,91,362,453,815,342,231,573,804,451,329,780,183,37,220,257,477,734,285,93,378,471,849,394,317,711,102,813,915,802,791,667,532,273,805,152,31,183,214,397,611,82,693,775,542,391,7,398,405,803,282,159,441,600,115,715,830,619,523,216,739,29,768,797,639,510,223,733,30,763,793,630,497,201,698,899,671,644,389,107,496,603,173,776,23,799,822,695,591,360,25,385,410,795,279,148,427,575,76,651,727,452,253,705,32,737,769,580,423,77,500,577,151,728,879,681,634,389,97,486,583,143,726,869,669,612,355,41,396,437,833,344,251,595,846,515,435,24,459,483,16,499,515,88,603,691,368,133,501,634,209,843,126,43,169,212,381,593,48,641,689,404,167,571,738,383,195,578,773,425,272,697,43,740,783,597,454,125,579,704,357,135,492,627,193,820,87,907,68,49,117,166,283,449,732,255,61,316,377,693,144,837,55,892,21,913,8,921,3,924,1,925,926,925,925,924,923,921,918,913,905,892,871,837,782,693,549,316,865,255,194,449,643,166,809,49,858,907,839,820,733,627,434,135,569,704,347,125,472,597,143,740,883,697,654,425,153,578,731,383,188,571,759,404,237,641,878,593,545,212,757,43,800,843,717,634,425,133,558,691,323,88,411,499,910,483,467,24,491,515,80,595,675,344,93,437,530,41,571,612,257,869,200,143,343,486,829,389,292,681,47,728,775,577,426,77,503,580,157,737,894,705,673,452,199,651,850,575,499,148,647,795,516,385,901,360,335,695,104,799,903,776,753,603,430,107,537,644,255,899,228,201,429,630,133,763,896,733,703,510,287,797,158,29,187,216,403,619,96,715,811,600,485,159,644,803,521,398,919,391,384,775,233,82,315,397,712,183,895,152,121,273,394,667,135,802,11,813,824,711,609,394,77,471,548,93,641,734,449,257,706,37,743,780,597,451,122,573,695,342,111,453,564,91,655,746,475,295,770,139,909,122,105,227,332,559,891,524,489,87,576,663,313,50,363,413,776,263,113,376,489,865,428,367,795,236,105,341,446,787,307,168,475,643,192,835,101,10,111,121,232,353,585,12,597,609,280,889,243,206,449,655,178,833,85,918,77,69,146,215,361,576,11,587,598,259,857,190,121,311,432,743,249,66,315,381,696,151,847,72,919,65,58,123,181,304,485,789,348,211,559,770,403,247,650,897,621,592,287,879,240,193,433,626,133,759,892,725,691,490,255,745,74,819,893,786,753,613,440,127,567,694,335,103,438,541,53,594,647,315,36,351,387,738,199,11,210,221,431,652,157,809,40,849,889,812,775,661,510,245,755,74,829,903,806,783,663,520,257,777,108,885,67,26,93,119,212,331,543,874,491,439,4,443,447,890,411,375,786,235,95,330,425,755,254,83,337,420,757,251,82,333,415,748,237,59,296,355,651,80,731,811,616,501,191,692,883,649,606,329,9,338,347,685,106,791,897,762,733,569,376,19,395,414,809,297,180,477,657,208,865,147,86,233,319,552,871,497,442,13,455,468,923,465,462,1,463,464,1,465,466,5,471,476,21,497,518,89,607,696,377,147,524,671,269,14,283,297,580,877,531,482,87,569,656,299,29,328,357,685,116,801,917,792,783,649,506,229,735,38,773,811,658,543,275,818,167,59,226,285,511,796,381,251,632,883,589,546,209,755,38,793,831,698,603,375,52,427,479,906,459,439,898,411,383,794,251,119,370,489,859,422,355,777,206,57,263,320,583,903,560,537,171,708,879,661,614,349,37,386,423,809,306,189,495,684,253,11,264,275,539,814,427,315,742,131,873,78,25,103,128,231,359,590,23,613,636,323,33,356,389,745,208,27,235,262,497,759,330,163,493,656,223,879,176,129,305,434,739,247,60,307,367,674,115,789,904,767,745,586,405,65,470,535,79,614,693,381,148,529,677,280,31,311,342,653,69,722,791,587,452,113,565,678,317,69,386,455,841,370,285,655,14,669,683,426,183,609,792,475,341,816,231,121,352,473,825,372,271,643,914,631,619,324,17,341,358,699,131,830,35,865,900,839,813,726,613,413,100,513,613,200,813,87,900,61,35,96,131,227,358,585,17,602,619,295,914,283,271,554,825,453,352,805,231,110,341,451,792,317,183,500,683,257,14,271,285,556,841,471,386,857,317,248,565,813,452,339,791,204,69,273,342,615,31,646,677,397,148,545,693,312,79,391,470,861,405,340,745,159,904,137,115,252,367,619,60,679,739,492,305,797,176,47,223,270,493,763,330,167,497,664,235,899,208,181,389,570,33,603,636,313,23,336,359,695,128,823,25,848,873,795,742,611,427,112,539,651,264,915,253,242,495,737,306,117,423,540,37,577,614,265,879,218,171,389,560,23,583,606,263,869,206,149,355,504,859,437,370,807,251,132,383,515,898,487,459,20,479,499,52,551,603,228,831,133,38,171,209,380,589,43,632,675,381,130,511,641,226,867,167,108,275,383,658,115,773,888,735,697,506,277,783,134,917,125,116,241,357,598,29,627,656,357,87,444,531,49,580,629,283,912,269,255,524,779,377,230,607,837,518,429,21,450,471,921,466,461,1,462,463,925,462,461,923,458,455,913,442,429,871,374,319,693,86,779,865,718,657,449,180,629,809,512,395,907,376,357,733,164,897,135,106,241,347,588,9,597,606,277,883,234,191,425,616,115,731,846,651,571,296,867,237,178,415,593,82,675,757,506,337,843,254,171,425,596,95,691,786,551,411,36,447,483,4,487,491,52,543,595,212,807,93,900,67,41,108,149,257,406,663,143,806,23,829,852,755,681,510,265,775,114,889,77,40,117,157,274,431,705,210,915,199,188,387,575,36,611,647,332,53,385,438,823,335,232,567,799,440,313,753,140,893,107,74,181,255,436,691,201,892,167,133,300,433,733,240,47,287,334,621,29,650,679,403,156,559,715,348,137,485,622,181,803,58,861,919,854,847,775,696,545,315,860,249,183,432,615,121,736,857,667,598,339,11,350,361,711,146,857,77,8,85,93,178,271,449,720,243,37,280,317,597,914,585,573,232,805,111,916,101,91,192,283,475,758,307,139,446,585,105,690,795,559,428,61,489,550,113,663,776,513,363,876,313,263,576,839,489,402,891,367,332,699,105,804,909,787,770,631,475,180,655,835,564,473,111,584,695,353,122,475,597,146,743,889,706,669,449,192,641,833,548,455,77,532,609,215,824,113,11,124,135,259,394,653,121,774,895,743,712,529,315,844,233,151,384,535,919,528,521,123,644,767,485,326,811,211,96,307,403,710,187,897,158,129,287,416,703,193,896,163,133,296,429,725,228,27,255,282,537,819,430,323,753,150,903,127,104,231,335,566,901,541,516,131,647,778,499,351,850,275,199,474,673,221,894,189,157,346,503,849,426,349,775,198,47,245,292,537,829,440,343,783,200,57,257,314,571,885,530,489,93,582,675,331,80,411,491,902,467,443,910,427,411,838,323,235,558,793,425,292,717,83,800,883,757,714,545,333,878,285,237,522,759,355,188,543,731,348,153,501,654,229,883,186,143,329,472,801,347,222,569,791,434,299,733,106,839,19,858,877,809,760,643,477,194,671,865,610,549,233,782,89,871,34,905,13,918,5,923,2,925,1]},"gamma":{"alpha_indices":[0,4,8,12,18,19,22,26,30,32,33,34,35,38,39,43,45,46,47,48,51,53,54,55,56,57,60,64,68,74,76,77,78,81,83,84,85,88,89,90,91,95,98,99,103,104,107,111,115,118,124,125,126,129,133,135,137,144,148,149,150,151,160,162,163,164,165,170,177,184,186,190,192,194,195,196,197,200,204,206,213,216,219,221,222,225,231,233,234,235,236,240,243,245,246,254,259,267,268,271,274,276,277,280,281,284,287,289,299,304,309,312,316,321,325,330,332,336,340,344,346,353,355,356,359,363,367,368,369,372,376,381,383,384,388,391,393,398,400,401,402,403,407,413,414,417,418,422,423,427,429,430,433,437,440,442,450,451,455,458,460,465,469,471,473,474,475,478,480,481,482,483,489,491,492,493,494,498,500,504,507,508,512,513,514,515,521,522,526,527,528,531,536,542,543,544,545,549,552,554,555,558,564,567,569,575,577,578,583,588,590,591,592,595,597,598,604,609,612,614,615,621,625,629,630,633,638,641,643,645,646,647,648,649,652,654,655,660,662,668,673,678,682,683,686,687,688,691,695,699,704,706,707,710,711,714,717,723,724,727,729,730,731,732,738,739,740,741,744,746,754,757,762,769,778,779,780,781,787,788,791,794,800,802,803,804,807,811,814,819,821,828,831,833,834,835,838,839,840,841,845,848,850,851,855,856,859,864,866,867,870,875,878,880,881,884,888,891,892,893,894,898,900,907,910,912,913,914,915,918,925,931,932,933,934,939,942,943,947,949,950,951,952,957,962,970,971,974,978,983,987,990,992,993,994,997,1004,1008,1013,1015,1016,1019,1020,1021,1024,1031,1036,1041,1043,1045,1046,1047,1048,1052,1056,1059,1060,1061,1062,1069,1075,1076,1079,1080,1087,1088,1091,1095,1099,1101,1108,1112,1113,1116,1117,1118,1119,1124,1129,1131,1138,1143,1146,1152,1156,1158,1163,1165,1170,1176,1183,1185,1186,1187,1188,1191,1192,1196,1198,1199,1200,1201,1202,1205,1206,1207,1208,1213,1217,1222,1228,1230,1231,1232,1233,1239,1242,1244,1245,1248,1251,1253,1261,1266,1268,1269,1273,1274,1279,1283,1288,1294,1295,1299,1302,1304,1305,1308,1314,1316,1317,1318,1319,1324,1328,1331,1332,1336,1338,1344,1346,1354,1355,1358,1360,1361,1362,1363,1366,1370,1374,1375,1379,1380,1381,1384,1387,1388,1389,1392,1395,1397,1398,1403,1405,1406,1409,1416,1421,1423,1429,1434,1436,1442,1444,1453,1454,1458,1462,1465,1467,1472,1474,1479,1485,1489,1494,1500,1501,1505,1511,1512,1515,1520,1522,1523,1526,1528,1530,1531,1532,1533,1539,1545,1548,1551,1553,1560,1564,1567,1571,1574,1577,1579,1580,1583,1585,1593,1594,1597,1599,1600,1601,1602,1610,1612,1616,1618,1619,1620,1621,1624,1630,1634,1636,1641,1644,1648,1652,1653,1654,1655,1658,1665,1667,1671,1680,1682,1683,1684,1685,1686,1689,1693,1697,1698,1705,1706,1709,1710,1715,1720,1723,1725,1726,1730,1734,1737,1739,1740,1741,1742,1743,1746,1753,1758,1763,1765,1766,1769,1770,1771,1774,1778,1784,1786,1787,1788,1791,1797,1801,1804,1808,1813,1818,1820,1826,1827,1833,1835,1836,1837,1838,1841,1845,1851,1853,1854,1859,1862,1864,1869,1871,1877,1880,1882,1888,1891,1893,1894,1898,1903,1909,1912,1917,1922,1924,1925,1929,1930,1933,1939,1943,1945,1949,1951,1952,1953,1954,1960,1962,1963,1964,1965,1968,1973,1976,1977,1981,1986,1988,1993,1997,1998,2003,2005,2010,2015,2020,2026,2027,2034,2036,2043,2045,2050,2053,2055,2056,2057,2058,2061,2062,2066,2067,2073,2077,2082,2084,2085,2089,2092,2093,2094,2097,2101,2110,2111,2114,2118,2120,2126,2129,2135,2137,2139,2140,2141,2142,2143,2150,2151,2155,2156,2159,2163,2166,2169,2175,2178,2187,2188,2189,2190,2193,2200,2201,2207,2208,2209,2212,2214,2215,2216,2217,2222,2224,2229,2235,2239,2241,2246,2252,2253,2254,2257,2263,2264,2269,2271,2277,2278,2282,2288,2291,2293,2294,2295,2296,2301,2303,2309,2311,2312,2313,2314,2315,2319,2322,2329,2333,2338,2340,2347,2350,2351,2355,2356,2357,2358,2361,2367,2368,2371,2372,2377,2381,2383,2388,2390,2391,2392,2393,2398,2401,2402,2403,2406,2410,2415,2417,2418,2421,2425,2429,2430,2431,2434,2436,2442,2446,2450,2456,2459,2463,2466,2470,2475,2478,2485,2490,2492,2494,2495,2496,2497,2503,2507,2513,2517,2518,2522,2524,2525,2528,2532,2539,2540,2541,2542,2546,2549,2551,2552,2553,2556,2558,2559,2560,2563,2564,2565,2566,2571,2574,2576,2582,2587,2589,2596,2602,2607,2612,2616,2619,2621,2628,2633,2635,2644,2646,2647,2648,2649,2650,2651,2654,2655,2656,2659,2664,2669,2673,2676,2677,2681,2682,2685,2689,2693,2695,2699,2701,2702,2703,2704,2707,2714,2718,2722,2727,2729,2731,2732,2733,2734,2737,2739,2740,2741,2742,2745,2749,2751,2760,2765,2770,2778],"clock_positions":[2784,4,8,12,18,19,22,26,30,32,33,34,35,38,39,43,45,46,47,48,51,53,54,55,56,57,60,64,68,74,76,77,78,81,83,84,85,88,89,90,91,95,98,99,103,104,107,111,115,118,124,125,126,129,133,135,137,144,148,149,150,151,160,162,163,164,165,170,177,184,186,190,192,194,195,196,197,200,204,206,213,216,219,221,222,225,231,233,234,235,236,240,243,245,246,254,259,267,268,271,274,276,277,280,281,284,287,289,299,304,309,312,316,321,325,330,332,336,340,344,346,353,355,356,359,363,367,368,369,372,376,381,383,384,388,391,393,398,400,401,402,403,407,413,414,417,418,422,423,427,429,430,433,437,440,442,450,451,455,458,460,465,469,471,473,474,475,478,480,481,482,483,489,491,492,493,494,498,500,504,507,508,512,513,514,515,521,522,526,527,528,531,536,542,543,544,545,549,552,554,555,558,564,567,569,575,577,578,583,588,590,591,592,595,597,598,604,609,612,614,615,621,625,629,630,633,638,641,643,645,646,647,648,649,652,654,655,660,662,668,673,678,682,683,686,687,688,691,695,699,704,706,707,710,711,714,717,723,724,727,729,730,731,732,738,739,740,741,744,746,754,757,762,769,778,779,780,781,787,788,791,794,800,802,803,804,807,811,814,819,821,828,831,833,834,835,838,839,840,841,845,848,850,851,855,856,859,864,866,867,870,875,878,880,881,884,888,891,892,893,894,898,900,907,910,912,913,914,915,918,925,931,932,933,934,939,942,943,947,949,950,951,952,957,962,970,971,974,978,983,987,990,992,993,994,997,1004,1008,1013,1015,1016,1019,1020,1021,1024,1031,1036,1041,1043,1045,1046,1047,1048,1052,1056,1059,1060,1061,1062,1069,1075,1076,1079,1080,1087,1088,1091,1095,1099,1101,1108,1112,1113,1116,1117,1118,1119,1124,1129,1131,1138,1143,1146,1152,1156,1158,1163,1165,1170,1176,1183,1185,1186,1187,1188,1191,1192,1196,1198,1199,1200,1201,1202,1205,1206,1207,1208,1213,1217,1222,1228,1230,1231,1232,1233,1239,1242,1244,1245,1248,1251,1253,1261,1266,1268,1269,1273,1274,1279,1283,1288,1294,1295,1299,1302,1304,1305,1308,1314,1316,1317,1318,1319,1324,1328,1331,1332,1336,1338,1344,1346,1354,1355,1358,1360,1361,1362,1363,1366,1370,1374,1375,1379,1380,1381,1384,1387,1388,1389,1392,1395,1397,1398,1403,1405,1406,1409,1416,1421,1423,1429,1434,1436,1442,1444,1453,1454,1458,1462,1465,1467,1472,1474,1479,1485,1489,1494,1500,1501,1505,1511,1512,1515,1520,1522,1523,1526,1528,1530,1531,1532,1533,1539,1545,1548,1551,1553,1560,1564,1567,1571,1574,1577,1579,1580,1583,1585,1593,1594,1597,1599,1600,1601,1602,1610,1612,1616,1618,1619,1620,1621,1624,1630,1634,1636,1641,1644,1648,1652,1653,1654,1655,1658,1665,1667,1671,1680,1682,1683,1684,1685,1686,1689,1693,1697,1698,1705,1706,1709,1710,1715,1720,1723,1725,1726,1730,1734,1737,1739,1740,1741,1742,1743,1746,1753,1758,1763,1765,1766,1769,1770,1771,1774,1778,1784,1786,1787,1788,1791,1797,1801,1804,1808,1813,1818,1820,1826,1827,1833,1835,1836,1837,1838,1841,1845,1851,1853,1854,1859,1862,1864,1869,1871,1877,1880,1882,1888,1891,1893,1894,1898,1903,1909,1912,1917,1922,1924,1925,1929,1930,1933,1939,1943,1945,1949,1951,1952,1953,1954,1960,1962,1963,1964,1965,1968,1973,1976,1977,1981,1986,1988,1993,1997,1998,2003,2005,2010,2015,2020,2026,2027,2034,2036,2043,2045,2050,2053,2055,2056,2057,2058,2061,2062,2066,2067,2073,2077,2082,2084,2085,2089,2092,2093,2094,2097,2101,2110,2111,2114,2118,2120,2126,2129,2135,2137,2139,2140,2141,2142,2143,2150,2151,2155,2156,2159,2163,2166,2169,2175,2178,2187,2188,2189,2190,2193,2200,2201,2207,2208,2209,2212,2214,2215,2216,2217,2222,2224,2229,2235,2239,2241,2246,2252,2253,2254,2257,2263,2264,2269,2271,2277,2278,2282,2288,2291,2293,2294,2295,2296,2301,2303,2309,2311,2312,2313,2314,2315,2319,2322,2329,2333,2338,2340,2347,2350,2351,2355,2356,2357,2358,2361,2367,2368,2371,2372,2377,2381,2383,2388,2390,2391,2392,2393,2398,2401,2402,2403,2406,2410,2415,2417,2418,2421,2425,2429,2430,2431,2434,2436,2442,2446,2450,2456,2459,2463,2466,2470,2475,2478,2485,2490,2492,2494,2495,2496,2497,2503,2507,2513,2517,2518,2522,2524,2525,2528,2532,2539,2540,2541,2542,2546,2549,2551,2552,2553,2556,2558,2559,2560,2563,2564,2565,2566,2571,2574,2576,2582,2587,2589,2596,2602,2607,2612,2616,2619,2621,2628,2633,2635,2644,2646,2647,2648,2649,2650,2651,2654,2655,2656,2659,2664,2669,2673,2676,2677,2681,2682,2685,2689,2693,2695,2699,2701,2702,2703,2704,2707,2714,2718,2722,2727,2729,2731,2732,2733,2734,2737,2739,2740,2741,2742,2745,2749,2751,2760,2765,2770,2778],"clockwise_values":[926,3,21,144,732,477,117,87,492,357,222,579,801,783,186,501,348,195,543,738,522,285,48,333,381,714,126,501,603,459,435,411,846,582,489,396,885,669,57,726,783,537,879,198,849,423,189,474,351,279,591,231,822,150,819,282,27,30,639,129,768,897,441,282,123,405,528,693,774,915,102,849,378,285,192,477,669,183,804,231,180,156,804,699,594,402,876,513,150,663,813,498,690,585,480,825,573,720,477,93,849,780,711,915,339,69,615,183,861,441,156,276,639,300,201,852,33,486,591,873,279,915,705,495,117,114,681,171,852,120,669,900,807,714,435,483,36,831,501,171,672,843,675,867,630,846,195,735,234,597,588,579,135,357,531,117,840,693,429,471,3,462,921,450,429,408,837,549,402,255,657,912,444,357,270,627,897,810,9,420,888,153,651,108,759,867,675,294,717,171,888,228,447,543,132,675,807,504,720,663,606,366,312,540,117,915,651,387,795,798,567,336,903,603,570,537,429,270,750,621,492,252,159,861,456,312,249,615,273,204,135,339,474,813,609,540,471,912,243,585,453,12,909,585,795,96,891,87,513,726,891,795,699,909,324,12,372,816,585,609,426,243,669,912,540,69,609,678,474,135,249,381,456,789,621,129,750,879,759,429,27,537,903,567,231,798,78,315,387,684,189,312,708,537,366,903,663,57,720,777,489,675,543,411,906,447,375,888,717,546,294,285,759,651,543,153,420,792,9,801,810,897,270,297,657,402,147,549,696,408,465,465,3,468,471,552,840,147,477,297,117,414,531,762,579,735,501,195,630,333,420,672,501,330,831,375,435,714,885,777,669,783,120,903,171,849,495,738,351,315,279,594,873,591,486,786,33,819,852,759,879,639,897,276,789,441,123,72,381,66,69,915,576,780,69,849,918,477,609,12,825,168,480,498,813,150,663,87,594,156,453,342,231,573,804,780,183,477,285,93,378,471,849,711,102,813,915,273,183,693,405,282,159,441,600,216,768,639,510,30,630,201,603,822,591,360,795,279,651,705,423,879,681,486,726,669,612,396,846,435,24,459,483,603,501,843,126,381,48,738,195,783,597,579,357,135,492,627,87,117,732,255,693,144,837,21,921,3,924,926,924,921,918,837,693,549,255,858,627,135,597,654,153,759,237,843,717,558,411,483,24,675,93,612,486,681,426,894,705,651,795,516,360,903,753,603,537,255,228,201,429,630,510,216,96,600,159,384,315,183,273,135,813,711,609,471,93,780,597,573,342,111,453,564,909,105,891,489,87,576,663,363,489,795,105,168,192,111,585,12,597,609,243,918,69,576,432,249,66,315,381,696,72,123,789,348,897,621,879,240,759,255,819,786,753,567,438,594,315,36,351,387,738,210,849,510,903,783,663,777,108,885,93,543,447,411,375,786,330,420,333,237,651,501,606,9,897,762,414,297,180,477,657,147,552,468,465,462,465,471,21,696,147,297,531,87,357,801,792,783,735,543,285,381,546,831,603,375,906,459,411,489,777,57,903,537,171,708,879,423,306,189,495,684,264,315,873,78,231,636,33,27,759,330,879,129,60,789,405,693,381,342,69,678,69,285,669,426,183,609,792,816,231,825,372,324,699,900,813,726,513,813,87,900,96,585,825,453,231,792,183,285,471,813,339,204,69,273,342,615,693,312,861,405,159,252,60,492,270,330,570,33,603,636,336,873,795,651,264,915,495,306,117,423,540,879,171,606,504,807,132,459,603,228,831,171,675,381,867,108,888,735,783,357,627,357,87,444,531,912,255,837,429,21,450,471,921,462,462,429,693,657,180,357,897,135,588,9,597,606,234,846,651,867,237,675,843,171,786,411,36,447,483,543,807,93,900,108,663,852,681,510,114,117,705,210,915,387,36,438,567,753,255,201,300,240,621,156,348,861,696,315,249,183,432,615,339,711,93,720,243,597,585,573,111,192,585,105,690,795,489,663,513,363,876,576,489,402,891,699,105,804,909,180,564,111,597,669,192,609,135,774,315,384,528,123,96,897,129,429,228,27,255,282,537,819,753,150,903,231,516,351,474,894,189,849,426,198,537,783,57,885,489,93,582,675,411,411,558,717,714,333,285,237,522,759,543,348,153,501,654,186,801,222,858,477,549,918],"triangle_paths":[]},"beta":{"interval_sums":[4,26,178,1952,0,1043,964,598,791,0,0,0,783,0,544,773,0,0,0,522,689,0,0,0,0,1052,584,1396,2239,902,0,0,582,833,0,0,669,0,0,0,1120,879,0,1000,0,1115,506,1078,1205,1673,0,0,150,992,389,671,3172,832,0,0,0,3761,767,0,0,0,1235,2972,3164,113,1064,455,833,0,0,0,1109,950,353,3340,1082,804,821,0,402,2502,563,0,0,0,1048,690,821,0,3075,3230,3267,0,1019,849,857,0,915,0,995,1541,494,4638,3038,1797,1202,668,1959,994,1523,107,626,1390,1696,332,3530,716,0,1043,1000,832,0,0,120,812,1867,833,0,1030,1409,479,1897,596,0,0,0,1264,2815,0,846,0,850,0,640,917,0,1061,386,1457,512,3651,0,1036,1397,458,2313,1846,455,905,0,0,549,779,0,0,0,2062,839,0,0,0,1408,125,554,888,0,766,0,0,0,2431,0,760,0,0,228,2247,1517,0,0,0,1060,720,869,0,366,1674,1466,503,2703,662,0,1406,2625,695,0,0,603,893,0,3153,1959,750,797,0,2910,970,1042,0,1238,1953,1541,584,857,0,0,0,0,609,857,0,1553,257,2145,2184,1593,1204,0,795,0,0,87,626,1552,1843,830,0,909,0,938,1298,1964,0,609,743,0,0,0,2206,0,0,0,474,587,4302,1307,2229,2142,4085,0,0,0,2551,0,953,1463,2475,590,0,0,1004,368,1313,1621,431,3556,708,755,0,0,663,0,0,0,1060,675,794,0,934,0,1301,1909,755,0,1220,2007,759,818,0,1079,458,792,0,0,0,1582,299,3508,657,671,0,0,0,408,2798,2317,0,0,0,1049,840,0,538,746,0,0,0,1331,2325,3288,0,1121,710,2007,1264,672,755,0,0,375,3688,1588,1837,818,0,783,0,0,171,2322,3116,1675,539,890,0,0,0,1132,1180,786,0,0,0,2900,2791,0,897,0,2696,0,1049,940,460,611,3220,1174,0,780,0,0,0,3077,2424,329,2334,2663,1406,1896,1678,263,1639,350,1555,1326,2216,815,0,0,0,780,0,514,734,0,0,0,0,711,0,0,0,2792,988,1304,2113,803,0,0,0,2802,768,797,0,956,1556,497,3904,1771,695,0,820,0,1226,1432,2118,2033,0,1120,726,869,0,396,2460,515,0,0,0,1118,1192,843,0,424,593,2472,383,3528,0,579,704,0,0,0,1013,1024,898,0,754,0,0,947,921,0,0,926,1850,923,0,3581,782,0,1181,2310,3299,434,2217,2463,425,2451,404,4469,0,1192,1102,1409,467,1681,344,1579,1812,1510,2127,2054,0,1324,2719,0,1286,1933,776,0,537,644,899,0,0,0,3228,1458,1022,1526,485,3676,1090,1109,1168,1061,813,824,0,471,548,3567,0,573,695,0,0,0,3171,122,1118,524,0,0,0,363,1941,1660,236,1881,1118,946,706,0,0,0,1169,2406,77,722,2934,743,0,0,0,0,998,1042,970,0,2840,0,879,0,1385,2798,819,893,0,1180,1132,594,647,0,0,0,0,210,2310,3137,1903,806,0,777,0,0,93,662,2251,890,0,0,330,1854,1090,1163,710,2238,2415,329,2267,0,2092,809,0,0,0,1073,638,2278,923,0,929,471,476,1711,377,1761,1457,482,1881,801,917,0,1384,2280,1545,1307,2355,1795,698,0,958,0,1337,1917,1636,206,1166,560,0,0,0,2047,809,0,0,0,264,2055,873,0,256,1585,323,1698,994,0,1535,176,1725,1463,3002,1763,0,1976,653,3230,317,2052,669,683,0,0,0,816,0,946,0,3078,716,1861,839,0,1126,813,0,0,96,716,3555,0,1157,902,317,1725,1397,2373,452,791,0,0,0,0,2444,0,940,0,1085,1156,986,1418,1548,1256,3240,0,0,0,336,2878,0,2431,0,0,495,737,0,0,0,1493,218,1555,1842,1666,251,2283,1601,0,0,171,1853,0,1508,167,2204,0,1480,1533,627,656,0,0,0,1541,269,2517,518,0,0,0,0,928,1388,3652,1564,2448,449,3628,897,0,694,0,0,0,1160,2078,0,867,0,1268,1600,254,1807,551,0,0,0,1034,807,0,0,108,812,1801,755,0,1040,1006,862,0,0,387,575,2028,1390,1552,1395,1127,1192,1166,668,1761,1274,2286,3395,545,860,0,0,0,2979,722,1173,898,0,634,914,0,1037,1108,2408,0,0,0,1048,663,776,0,0,576,839,0,0,699,0,0,0,2663,1490,473,2229,2484,449,3086,1287,1427,2879,1228,1454,521,3244,1607,158,3087,725,0,0,0,0,0,753,0,0,231,2343,2055,1324,894,0,1006,0,1124,584,1612,200,1142,530,0,0,0,411,3640,1396,1510,2523,545,878,0,0,0,543,731,0,0,0,1112,944,347,3790,3089,2340,2927,1856],"interval_residues":[4,26,178,100,0,117,38,598,791,0,0,0,783,0,544,773,0,0,0,522,689,0,0,0,0,126,584,470,387,902,0,0,582,833,0,0,669,0,0,0,194,879,0,74,0,189,506,152,279,747,0,0,150,66,389,671,394,832,0,0,0,57,767,0,0,0,309,194,386,113,138,455,833,0,0,0,183,24,353,562,156,804,821,0,402,650,563,0,0,0,122,690,821,0,297,452,489,0,93,849,857,0,915,0,69,615,494,8,260,871,276,668,107,68,597,107,626,464,770,332,752,716,0,117,74,832,0,0,120,812,15,833,0,104,483,479,45,596,0,0,0,338,37,0,846,0,850,0,640,917,0,135,386,531,512,873,0,110,471,458,461,920,455,905,0,0,549,779,0,0,0,210,839,0,0,0,482,125,554,888,0,766,0,0,0,579,0,760,0,0,228,395,591,0,0,0,134,720,869,0,366,748,540,503,851,662,0,480,773,695,0,0,603,893,0,375,107,750,797,0,132,44,116,0,312,101,615,584,857,0,0,0,0,609,857,0,627,257,293,332,667,278,0,795,0,0,87,626,626,917,830,0,909,0,12,372,112,0,609,743,0,0,0,354,0,0,0,474,587,598,381,377,290,381,0,0,0,699,0,27,537,623,590,0,0,78,368,387,695,431,778,708,755,0,0,663,0,0,0,134,675,794,0,8,0,375,57,755,0,294,155,759,818,0,153,458,792,0,0,0,656,299,730,657,671,0,0,0,408,20,465,0,0,0,123,840,0,538,746,0,0,0,405,473,510,0,195,710,155,338,672,755,0,0,375,910,662,911,818,0,783,0,0,171,470,338,749,539,890,0,0,0,206,254,786,0,0,0,122,13,0,897,0,844,0,123,14,460,611,442,248,0,780,0,0,0,299,572,329,482,811,480,44,752,263,713,350,629,400,364,815,0,0,0,780,0,514,734,0,0,0,0,711,0,0,0,14,62,378,261,803,0,0,0,24,768,797,0,30,630,497,200,845,695,0,820,0,300,506,266,181,0,194,726,869,0,396,608,515,0,0,0,192,266,843,0,424,593,620,383,750,0,579,704,0,0,0,87,98,898,0,754,0,0,21,921,0,0,0,924,923,0,803,782,0,255,458,521,434,365,611,425,599,404,765,0,266,176,483,467,755,344,653,886,584,275,202,0,398,867,0,360,81,776,0,537,644,899,0,0,0,450,532,96,600,485,898,164,183,242,135,813,824,0,471,548,789,0,573,695,0,0,0,393,122,192,524,0,0,0,363,89,734,236,29,192,20,706,0,0,0,243,554,77,722,156,743,0,0,0,0,72,116,44,0,62,0,879,0,459,20,819,893,0,254,206,594,647,0,0,0,0,210,458,359,51,806,0,777,0,0,93,662,399,890,0,0,330,2,164,237,710,386,563,329,415,0,240,809,0,0,0,147,638,426,923,0,3,471,476,785,377,835,531,482,29,801,917,0,458,428,619,381,503,869,698,0,32,0,411,65,710,206,240,560,0,0,0,195,809,0,0,0,264,203,873,0,256,659,323,772,68,0,609,176,799,537,224,837,0,124,653,452,317,200,669,683,0,0,0,816,0,20,0,300,716,9,839,0,200,813,0,0,96,716,777,0,231,902,317,799,471,521,452,791,0,0,0,0,592,0,14,0,159,230,60,492,622,330,462,0,0,0,336,100,0,579,0,0,495,737,0,0,0,567,218,629,916,740,251,431,675,0,0,171,1,0,582,167,352,0,554,607,627,656,0,0,0,615,269,665,518,0,0,0,0,2,462,874,638,596,449,850,897,0,694,0,0,0,234,226,0,867,0,342,674,254,881,551,0,0,0,108,807,0,0,108,812,875,755,0,114,80,862,0,0,387,575,176,464,626,469,201,266,240,668,835,348,434,617,545,860,0,0,0,201,722,247,898,0,634,914,0,111,182,556,0,0,0,122,663,776,0,0,576,839,0,0,699,0,0,0,811,564,473,377,632,449,308,361,501,101,302,528,521,466,681,158,309,725,0,0,0,0,0,753,0,0,231,491,203,398,894,0,80,0,198,584,686,200,216,530,0,0,0,411,862,470,584,671,545,878,0,0,0,543,731,0,0,0,186,18,347,86,311,488,149,4],"display_cycle":[4,26,178,100,926,117,38,598,791,926,926,926,783,926,544,773,926,926,926,522,689,926,926,926,926,126,584,470,387,902,926,926,582,833,926,926,669,926,926,926,194,879,926,74,926,189,506,152,279,747,926,926,150,66,389,671,394,832,926,926,926,57,767,926,926,926,309,194,386,113,138,455,833,926,926,926,183,24,353,562,156,804,821,926,402,650,563,926,926,926,122,690,821,926,297,452,489,926,93,849,857,926,915,926,69,615,494,8,260,871,276,668,107,68,597,107,626,464,770,332,752,716,926,117,74,832,926,926,120,812,15,833,926,104,483,479,45,596,926,926,926,338,37,926,846,926,850,926,640,917,926,135,386,531,512,873,926,110,471,458,461,920,455,905,926,926,549,779,926,926,926,210,839,926,926,926,482,125,554,888,926,766,926,926,926,579,926,760,926,926,228,395,591,926,926,926,134,720,869,926,366,748,540,503,851,662,926,480,773,695,926,926,603,893,926,375,107,750,797,926,132,44,116,926,312,101,615,584,857,926,926,926,926,609,857,926,627,257,293,332,667,278,926,795,926,926,87,626,626,917,830,926,909,926,12,372,112,926,609,743,926,926,926,354,926,926,926,474,587,598,381,377,290,381,926,926,926,699,926,27,537,623,590,926,926,78,368,387,695,431,778,708,755,926,926,663,926,926,926,134,675,794,926,8,926,375,57,755,926,294,155,759,818,926,153,458,792,926,926,926,656,299,730,657,671,926,926,926,408,20,465,926,926,926,123,840,926,538,746,926,926,926,405,473,510,926,195,710,155,338,672,755,926,926,375,910,662,911,818,926,783,926,926,171,470,338,749,539,890,926,926,926,206,254,786,926,926,926,122,13,926,897,926,844,926,123,14,460,611,442,248,926,780,926,926,926,299,572,329,482,811,480,44,752,263,713,350,629,400,364,815,926,926,926,780,926,514,734,926,926,926,926,711,926,926,926,14,62,378,261,803,926,926,926,24,768,797,926,30,630,497,200,845,695,926,820,926,300,506,266,181,926,194,726,869,926,396,608,515,926,926,926,192,266,843,926,424,593,620,383,750,926,579,704,926,926,926,87,98,898,926,754,926,926,21,921,926,926,926,924,923,926,803,782,926,255,458,521,434,365,611,425,599,404,765,926,266,176,483,467,755,344,653,886,584,275,202,926,398,867,926,360,81,776,926,537,644,899,926,926,926,450,532,96,600,485,898,164,183,242,135,813,824,926,471,548,789,926,573,695,926,926,926,393,122,192,524,926,926,926,363,89,734,236,29,192,20,706,926,926,926,243,554,77,722,156,743,926,926,926,926,72,116,44,926,62,926,879,926,459,20,819,893,926,254,206,594,647,926,926,926,926,210,458,359,51,806,926,777,926,926,93,662,399,890,926,926,330,2,164,237,710,386,563,329,415,926,240,809,926,926,926,147,638,426,923,926,3,471,476,785,377,835,531,482,29,801,917,926,458,428,619,381,503,869,698,926,32,926,411,65,710,206,240,560,926,926,926,195,809,926,926,926,264,203,873,926,256,659,323,772,68,926,609,176,799,537,224,837,926,124,653,452,317,200,669,683,926,926,926,816,926,20,926,300,716,9,839,926,200,813,926,926,96,716,777,926,231,902,317,799,471,521,452,791,926,926,926,926,592,926,14,926,159,230,60,492,622,330,462,926,926,926,336,100,926,579,926,926,495,737,926,926,926,567,218,629,916,740,251,431,675,926,926,171,1,926,582,167,352,926,554,607,627,656,926,926,926,615,269,665,518,926,926,926,926,2,462,874,638,596,449,850,897,926,694,926,926,926,234,226,926,867,926,342,674,254,881,551,926,926,926,108,807,926,926,108,812,875,755,926,114,80,862,926,926,387,575,176,464,626,469,201,266,240,668,835,348,434,617,545,860,926,926,926,201,722,247,898,926,634,914,926,111,182,556,926,926,926,122,663,776,926,926,576,839,926,926,699,926,926,926,811,564,473,377,632,449,308,361,501,101,302,528,521,466,681,158,309,725,926,926,926,926,926,753,926,926,231,491,203,398,894,926,80,926,198,584,686,200,216,530,926,926,926,411,862,470,584,671,545,878,926,926,926,543,731,926,926,926,186,18,347,86,311,488,149,4],"intervals":[{"from_index":0,"to_index":4,"interior_indices":[1,2,3],"interior_values":[1,1,2],"sum":4,"residue":4},{"from_index":4,"to_index":8,"interior_indices":[5,6,7],"interior_values":[5,8,13],"sum":26,"residue":26},{"from_index":8,"to_index":12,"interior_indices":[9,10,11],"interior_values":[34,55,89],"sum":178,"residue":178},{"from_index":12,"to_index":18,"interior_indices":[13,14,15,16,17],"interior_values":[233,377,610,61,671],"sum":1952,"residue":100},{"from_index":18,"to_index":19,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":19,"to_index":22,"interior_indices":[20,21],"interior_values":[283,760],"sum":1043,"residue":117},{"from_index":22,"to_index":26,"interior_indices":[23,24,25],"interior_values":[877,68,19],"sum":964,"residue":38},{"from_index":26,"to_index":30,"interior_indices":[27,28,29],"interior_values":[106,193,299],"sum":598,"residue":598},{"from_index":30,"to_index":32,"interior_indices":[31],"interior_values":[791],"sum":791,"residue":791},{"from_index":32,"to_index":33,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":33,"to_index":34,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":34,"to_index":35,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":35,"to_index":38,"interior_indices":[36,37],"interior_values":[454,329],"sum":783,"residue":783},{"from_index":38,"to_index":39,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":39,"to_index":43,"interior_indices":[40,41,42],"interior_values":[43,229,272],"sum":544,"residue":544},{"from_index":43,"to_index":45,"interior_indices":[44],"interior_values":[773],"sum":773,"residue":773},{"from_index":45,"to_index":46,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":46,"to_index":47,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":47,"to_index":48,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":48,"to_index":51,"interior_indices":[49,50],"interior_values":[355,167],"sum":522,"residue":522},{"from_index":51,"to_index":53,"interior_indices":[52],"interior_values":[689],"sum":689,"residue":689},{"from_index":53,"to_index":54,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":54,"to_index":55,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":55,"to_index":56,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":56,"to_index":57,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":57,"to_index":60,"interior_indices":[58,59],"interior_values":[169,883],"sum":1052,"residue":126},{"from_index":60,"to_index":64,"interior_indices":[61,62,63],"interior_values":[83,209,292],"sum":584,"residue":584},{"from_index":64,"to_index":68,"interior_indices":[65,66,67],"interior_values":[793,368,235],"sum":1396,"residue":470},{"from_index":68,"to_index":74,"interior_indices":[69,70,71,72,73],"interior_values":[838,515,427,16,443],"sum":2239,"residue":387},{"from_index":74,"to_index":76,"interior_indices":[75],"interior_values":[902],"sum":902,"residue":902},{"from_index":76,"to_index":77,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":77,"to_index":78,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":78,"to_index":81,"interior_indices":[79,80],"interior_values":[331,251],"sum":582,"residue":582},{"from_index":81,"to_index":83,"interior_indices":[82],"interior_values":[833],"sum":833,"residue":833},{"from_index":83,"to_index":84,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":84,"to_index":85,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":85,"to_index":88,"interior_indices":[86,87],"interior_values":[355,314],"sum":669,"residue":669},{"from_index":88,"to_index":89,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":89,"to_index":90,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":90,"to_index":91,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":91,"to_index":95,"interior_indices":[92,93,94],"interior_values":[583,440,97],"sum":1120,"residue":194},{"from_index":95,"to_index":98,"interior_indices":[96,97],"interior_values":[634,245],"sum":879,"residue":879},{"from_index":98,"to_index":99,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":99,"to_index":103,"interior_indices":[100,101,102],"interior_values":[151,349,500],"sum":1000,"residue":74},{"from_index":103,"to_index":104,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":104,"to_index":107,"interior_indices":[105,106],"interior_values":[346,769],"sum":1115,"residue":189},{"from_index":107,"to_index":111,"interior_indices":[108,109,110],"interior_values":[32,221,253],"sum":506,"residue":506},{"from_index":111,"to_index":115,"interior_indices":[112,113,114],"interior_values":[727,275,76],"sum":1078,"residue":152},{"from_index":115,"to_index":118,"interior_indices":[116,117],"interior_values":[427,778],"sum":1205,"residue":279},{"from_index":118,"to_index":124,"interior_indices":[119,120,121,122,123],"interior_values":[131,410,541,25,566],"sum":1673,"residue":747},{"from_index":124,"to_index":125,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":125,"to_index":126,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":126,"to_index":129,"interior_indices":[127,128],"interior_values":[127,23],"sum":150,"residue":150},{"from_index":129,"to_index":133,"interior_indices":[130,131,132],"interior_values":[173,323,496],"sum":992,"residue":66},{"from_index":133,"to_index":135,"interior_indices":[134],"interior_values":[389],"sum":389,"residue":389},{"from_index":135,"to_index":137,"interior_indices":[136],"interior_values":[671],"sum":671,"residue":671},{"from_index":137,"to_index":144,"interior_indices":[138,139,140,141,142,143],"interior_values":[698,725,497,296,793,163],"sum":3172,"residue":394},{"from_index":144,"to_index":148,"interior_indices":[145,146,147],"interior_values":[193,223,416],"sum":832,"residue":832},{"from_index":148,"to_index":149,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":149,"to_index":150,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":150,"to_index":151,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":151,"to_index":160,"interior_indices":[152,153,154,155,156,157,158,159],"interior_values":[739,710,523,307,830,211,115,326],"sum":3761,"residue":57},{"from_index":160,"to_index":162,"interior_indices":[161],"interior_values":[767],"sum":767,"residue":767},{"from_index":162,"to_index":163,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":163,"to_index":164,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":164,"to_index":165,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":165,"to_index":170,"interior_indices":[166,167,168,169],"interior_values":[7,535,542,151],"sum":1235,"residue":309},{"from_index":170,"to_index":177,"interior_indices":[171,172,173,174,175,176],"interior_values":[844,611,529,214,743,31],"sum":2972,"residue":194},{"from_index":177,"to_index":184,"interior_indices":[178,179,180,181,182,183],"interior_values":[805,653,532,259,791,124],"sum":3164,"residue":386},{"from_index":184,"to_index":186,"interior_indices":[185],"interior_values":[113],"sum":113,"residue":113},{"from_index":186,"to_index":190,"interior_indices":[187,188,189],"interior_values":[215,317,532],"sum":1064,"residue":138},{"from_index":190,"to_index":192,"interior_indices":[191],"interior_values":[455],"sum":455,"residue":455},{"from_index":192,"to_index":194,"interior_indices":[193],"interior_values":[833],"sum":833,"residue":833},{"from_index":194,"to_index":195,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":195,"to_index":196,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":196,"to_index":197,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":197,"to_index":200,"interior_indices":[198,199],"interior_values":[220,889],"sum":1109,"residue":183},{"from_index":200,"to_index":204,"interior_indices":[201,202,203],"interior_values":[146,329,475],"sum":950,"residue":24},{"from_index":204,"to_index":206,"interior_indices":[205],"interior_values":[353],"sum":353,"residue":353},{"from_index":206,"to_index":213,"interior_indices":[207,208,209,210,211,212],"interior_values":[584,815,473,362,835,271],"sum":3340,"residue":562},{"from_index":213,"to_index":216,"interior_indices":[214,215],"interior_values":[451,631],"sum":1082,"residue":156},{"from_index":216,"to_index":219,"interior_indices":[217,218],"interior_values":[787,17],"sum":804,"residue":804},{"from_index":219,"to_index":221,"interior_indices":[220],"interior_values":[821],"sum":821,"residue":821},{"from_index":221,"to_index":222,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":222,"to_index":225,"interior_indices":[223,224],"interior_values":[367,35],"sum":402,"residue":402},{"from_index":225,"to_index":231,"interior_indices":[226,227,228,229,230],"interior_values":[437,839,350,263,613],"sum":2502,"residue":650},{"from_index":231,"to_index":233,"interior_indices":[232],"interior_values":[563],"sum":563,"residue":563},{"from_index":233,"to_index":234,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":234,"to_index":235,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":235,"to_index":236,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":236,"to_index":240,"interior_indices":[237,238,239],"interior_values":[550,437,61],"sum":1048,"residue":122},{"from_index":240,"to_index":243,"interior_indices":[241,242],"interior_values":[559,131],"sum":690,"residue":690},{"from_index":243,"to_index":245,"interior_indices":[244],"interior_values":[821],"sum":821,"residue":821},{"from_index":245,"to_index":246,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":246,"to_index":254,"interior_indices":[247,248,249,250,251,252,253],"interior_values":[139,619,758,451,283,734,91],"sum":3075,"residue":297},{"from_index":254,"to_index":259,"interior_indices":[255,256,257,258],"interior_values":[916,815,805,694],"sum":3230,"residue":452},{"from_index":259,"to_index":267,"interior_indices":[260,261,262,263,264,265,266],"interior_values":[341,914,329,317,646,37,683],"sum":3267,"residue":489},{"from_index":267,"to_index":268,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":268,"to_index":271,"interior_indices":[269,270],"interior_values":[271,748],"sum":1019,"residue":93},{"from_index":271,"to_index":274,"interior_indices":[272,273],"interior_values":[841,8],"sum":849,"residue":849},{"from_index":274,"to_index":276,"interior_indices":[275],"interior_values":[857],"sum":857,"residue":857},{"from_index":276,"to_index":277,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":277,"to_index":280,"interior_indices":[278,279],"interior_values":[565,350],"sum":915,"residue":915},{"from_index":280,"to_index":281,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":281,"to_index":284,"interior_indices":[282,283],"interior_values":[328,667],"sum":995,"residue":69},{"from_index":284,"to_index":287,"interior_indices":[285,286],"interior_values":[736,805],"sum":1541,"residue":615},{"from_index":287,"to_index":289,"interior_indices":[288],"interior_values":[494],"sum":494,"residue":494},{"from_index":289,"to_index":299,"interior_indices":[290,291,292,293,294,295,296,297,298],"interior_values":[677,860,611,545,230,775,79,854,7],"sum":4638,"residue":8},{"from_index":299,"to_index":304,"interior_indices":[300,301,302,303],"interior_values":[868,803,745,622],"sum":3038,"residue":260},{"from_index":304,"to_index":309,"interior_indices":[305,306,307,308],"interior_values":[137,578,715,367],"sum":1797,"residue":871},{"from_index":309,"to_index":312,"interior_indices":[310,311],"interior_values":[523,679],"sum":1202,"residue":276},{"from_index":312,"to_index":316,"interior_indices":[313,314,315],"interior_values":[29,305,334],"sum":668,"residue":668},{"from_index":316,"to_index":321,"interior_indices":[317,318,319,320],"interior_values":[47,686,733,493],"sum":1959,"residue":107},{"from_index":321,"to_index":325,"interior_indices":[322,323,324],"interior_values":[793,167,34],"sum":994,"residue":68},{"from_index":325,"to_index":330,"interior_indices":[326,327,328,329],"interior_values":[235,436,671,181],"sum":1523,"residue":597},{"from_index":330,"to_index":332,"interior_indices":[331],"interior_values":[107],"sum":107,"residue":107},{"from_index":332,"to_index":336,"interior_indices":[333,334,335],"interior_values":[140,173,313],"sum":626,"residue":626},{"from_index":336,"to_index":340,"interior_indices":[337,338,339],"interior_values":[799,359,232],"sum":1390,"residue":464},{"from_index":340,"to_index":344,"interior_indices":[341,342,343],"interior_values":[823,488,385],"sum":1696,"residue":770},{"from_index":344,"to_index":346,"interior_indices":[345],"interior_values":[332],"sum":332,"residue":332},{"from_index":346,"to_index":353,"interior_indices":[347,348,349,350,351,352],"interior_values":[611,890,575,539,188,727],"sum":3530,"residue":752},{"from_index":353,"to_index":355,"interior_indices":[354],"interior_values":[716],"sum":716,"residue":716},{"from_index":355,"to_index":356,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":356,"to_index":359,"interior_indices":[357,358],"interior_values":[274,769],"sum":1043,"residue":117},{"from_index":359,"to_index":363,"interior_indices":[360,361,362],"interior_values":[886,77,37],"sum":1000,"residue":74},{"from_index":363,"to_index":367,"interior_indices":[364,365,366],"interior_values":[151,265,416],"sum":832,"residue":832},{"from_index":367,"to_index":368,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":368,"to_index":369,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":369,"to_index":372,"interior_indices":[370,371],"interior_values":[97,23],"sum":120,"residue":120},{"from_index":372,"to_index":376,"interior_indices":[373,374,375],"interior_values":[143,263,406],"sum":812,"residue":812},{"from_index":376,"to_index":381,"interior_indices":[377,378,379,380],"interior_values":[149,818,41,859],"sum":1867,"residue":15},{"from_index":381,"to_index":383,"interior_indices":[382],"interior_values":[833],"sum":833,"residue":833},{"from_index":383,"to_index":384,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":384,"to_index":388,"interior_indices":[385,386,387],"interior_values":[595,383,52],"sum":1030,"residue":104},{"from_index":388,"to_index":391,"interior_indices":[389,390],"interior_values":[487,922],"sum":1409,"residue":483},{"from_index":391,"to_index":393,"interior_indices":[392],"interior_values":[479],"sum":479,"residue":479},{"from_index":393,"to_index":398,"interior_indices":[394,395,396,397],"interior_values":[515,551,140,691],"sum":1897,"residue":45},{"from_index":398,"to_index":400,"interior_indices":[399],"interior_values":[596],"sum":596,"residue":596},{"from_index":400,"to_index":401,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":401,"to_index":402,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":402,"to_index":403,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":403,"to_index":407,"interior_indices":[404,405,406],"interior_values":[589,506,169],"sum":1264,"residue":338},{"from_index":407,"to_index":413,"interior_indices":[408,409,410,411,412],"interior_values":[844,593,511,178,689],"sum":2815,"residue":37},{"from_index":413,"to_index":414,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":414,"to_index":417,"interior_indices":[415,416],"interior_values":[571,275],"sum":846,"residue":846},{"from_index":417,"to_index":418,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":418,"to_index":422,"interior_indices":[419,420,421],"interior_values":[115,310,425],"sum":850,"residue":850},{"from_index":422,"to_index":423,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":423,"to_index":427,"interior_indices":[424,425,426],"interior_values":[43,277,320],"sum":640,"residue":640},{"from_index":427,"to_index":429,"interior_indices":[428],"interior_values":[917],"sum":917,"residue":917},{"from_index":429,"to_index":430,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":430,"to_index":433,"interior_indices":[431,432],"interior_values":[241,820],"sum":1061,"residue":135},{"from_index":433,"to_index":437,"interior_indices":[434,435,436],"interior_values":[29,164,193],"sum":386,"residue":386},{"from_index":437,"to_index":440,"interior_indices":[438,439],"interior_values":[550,907],"sum":1457,"residue":531},{"from_index":440,"to_index":442,"interior_indices":[441],"interior_values":[512],"sum":512,"residue":512},{"from_index":442,"to_index":450,"interior_indices":[443,444,445,446,447,448,449],"interior_values":[629,746,449,269,718,61,779],"sum":3651,"residue":873},{"from_index":450,"to_index":451,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":451,"to_index":455,"interior_indices":[452,453,454],"interior_values":[607,374,55],"sum":1036,"residue":110},{"from_index":455,"to_index":458,"interior_indices":[456,457],"interior_values":[484,913],"sum":1397,"residue":471},{"from_index":458,"to_index":460,"interior_indices":[459],"interior_values":[458],"sum":458,"residue":458},{"from_index":460,"to_index":465,"interior_indices":[461,462,463,464],"interior_values":[461,464,925,463],"sum":2313,"residue":461},{"from_index":465,"to_index":469,"interior_indices":[466,467,468],"interior_values":[925,461,460],"sum":1846,"residue":920},{"from_index":469,"to_index":471,"interior_indices":[470],"interior_values":[455],"sum":455,"residue":455},{"from_index":471,"to_index":473,"interior_indices":[472],"interior_values":[905],"sum":905,"residue":905},{"from_index":473,"to_index":474,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":474,"to_index":475,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":475,"to_index":478,"interior_indices":[476,477],"interior_values":[319,230],"sum":549,"residue":549},{"from_index":478,"to_index":480,"interior_indices":[479],"interior_values":[779],"sum":779,"residue":779},{"from_index":480,"to_index":481,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":481,"to_index":482,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":482,"to_index":483,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":483,"to_index":489,"interior_indices":[484,485,486,487,488],"interior_values":[643,629,346,49,395],"sum":2062,"residue":210},{"from_index":489,"to_index":491,"interior_indices":[490],"interior_values":[839],"sum":839,"residue":839},{"from_index":491,"to_index":492,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":492,"to_index":493,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":493,"to_index":494,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":494,"to_index":498,"interior_indices":[495,496,497],"interior_values":[598,569,241],"sum":1408,"residue":482},{"from_index":498,"to_index":500,"interior_indices":[499],"interior_values":[125],"sum":125,"residue":125},{"from_index":500,"to_index":504,"interior_indices":[501,502,503],"interior_values":[134,143,277],"sum":554,"residue":554},{"from_index":504,"to_index":507,"interior_indices":[505,506],"interior_values":[697,191],"sum":888,"residue":888},{"from_index":507,"to_index":508,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":508,"to_index":512,"interior_indices":[509,510,511],"interior_values":[115,268,383],"sum":766,"residue":766},{"from_index":512,"to_index":513,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":513,"to_index":514,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":514,"to_index":515,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":515,"to_index":521,"interior_indices":[516,517,518,519,520],"interior_values":[700,641,415,130,545],"sum":2431,"residue":579},{"from_index":521,"to_index":522,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":522,"to_index":526,"interior_indices":[523,524,525],"interior_values":[43,337,380],"sum":760,"residue":760},{"from_index":526,"to_index":527,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":527,"to_index":528,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":528,"to_index":531,"interior_indices":[529,530],"interior_values":[133,95],"sum":228,"residue":228},{"from_index":531,"to_index":536,"interior_indices":[532,533,534,535],"interior_values":[323,551,874,499],"sum":2247,"residue":395},{"from_index":536,"to_index":542,"interior_indices":[537,538,539,540,541],"interior_values":[20,467,487,28,515],"sum":1517,"residue":591},{"from_index":542,"to_index":543,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":543,"to_index":544,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":544,"to_index":545,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":545,"to_index":549,"interior_indices":[546,547,548],"interior_values":[556,437,67],"sum":1060,"residue":134},{"from_index":549,"to_index":552,"interior_indices":[550,551],"interior_values":[571,149],"sum":720,"residue":720},{"from_index":552,"to_index":554,"interior_indices":[553],"interior_values":[869],"sum":869,"residue":869},{"from_index":554,"to_index":555,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":555,"to_index":558,"interior_indices":[556,557],"interior_values":[343,23],"sum":366,"residue":366},{"from_index":558,"to_index":564,"interior_indices":[559,560,561,562,563],"interior_values":[389,755,218,47,265],"sum":1674,"residue":748},{"from_index":564,"to_index":567,"interior_indices":[565,566],"interior_values":[577,889],"sum":1466,"residue":540},{"from_index":567,"to_index":569,"interior_indices":[568],"interior_values":[503],"sum":503,"residue":503},{"from_index":569,"to_index":575,"interior_indices":[570,571,572,573,574],"interior_values":[620,737,431,242,673],"sum":2703,"residue":851},{"from_index":575,"to_index":577,"interior_indices":[576],"interior_values":[662],"sum":662,"residue":662},{"from_index":577,"to_index":578,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":578,"to_index":583,"interior_indices":[579,580,581,582],"interior_values":[112,499,611,184],"sum":1406,"residue":480},{"from_index":583,"to_index":588,"interior_indices":[584,585,586,587],"interior_values":[53,848,901,823],"sum":2625,"residue":773},{"from_index":588,"to_index":590,"interior_indices":[589],"interior_values":[695],"sum":695,"residue":695},{"from_index":590,"to_index":591,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":591,"to_index":592,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":592,"to_index":595,"interior_indices":[593,594],"interior_values":[313,290],"sum":603,"residue":603},{"from_index":595,"to_index":597,"interior_indices":[596],"interior_values":[893],"sum":893,"residue":893},{"from_index":597,"to_index":598,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":598,"to_index":604,"interior_indices":[599,600,601,602,603],"interior_values":[181,718,899,691,664],"sum":3153,"residue":375},{"from_index":604,"to_index":609,"interior_indices":[605,606,607,608],"interior_values":[167,596,763,433],"sum":1959,"residue":107},{"from_index":609,"to_index":612,"interior_indices":[610,611],"interior_values":[703,47],"sum":750,"residue":750},{"from_index":612,"to_index":614,"interior_indices":[613],"interior_values":[797],"sum":797,"residue":797},{"from_index":614,"to_index":615,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":615,"to_index":621,"interior_indices":[616,617,618,619,620],"interior_values":[187,679,866,619,559],"sum":2910,"residue":132},{"from_index":621,"to_index":625,"interior_indices":[622,623,624],"interior_values":[811,137,22],"sum":970,"residue":44},{"from_index":625,"to_index":629,"interior_indices":[626,627,628],"interior_values":[181,340,521],"sum":1042,"residue":116},{"from_index":629,"to_index":630,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":630,"to_index":633,"interior_indices":[631,632],"interior_values":[391,847],"sum":1238,"residue":312},{"from_index":633,"to_index":638,"interior_indices":[634,635,636,637],"interior_values":[233,545,778,397],"sum":1953,"residue":101},{"from_index":638,"to_index":641,"interior_indices":[639,640],"interior_values":[646,895],"sum":1541,"residue":615},{"from_index":641,"to_index":643,"interior_indices":[642],"interior_values":[584],"sum":584,"residue":584},{"from_index":643,"to_index":645,"interior_indices":[644],"interior_values":[857],"sum":857,"residue":857},{"from_index":645,"to_index":646,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":646,"to_index":647,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":647,"to_index":648,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":648,"to_index":649,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":649,"to_index":652,"interior_indices":[650,651],"interior_values":[361,248],"sum":609,"residue":609},{"from_index":652,"to_index":654,"interior_indices":[653],"interior_values":[857],"sum":857,"residue":857},{"from_index":654,"to_index":655,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":655,"to_index":660,"interior_indices":[656,657,658,659],"interior_values":[85,556,641,271],"sum":1553,"residue":627},{"from_index":660,"to_index":662,"interior_indices":[661],"interior_values":[257],"sum":257,"residue":257},{"from_index":662,"to_index":668,"interior_indices":[663,664,665,666,667],"interior_values":[500,743,317,134,451],"sum":2145,"residue":293},{"from_index":668,"to_index":673,"interior_indices":[669,670,671,672],"interior_values":[110,695,805,574],"sum":2184,"residue":332},{"from_index":673,"to_index":678,"interior_indices":[674,675,676,677],"interior_values":[101,554,655,283],"sum":1593,"residue":667},{"from_index":678,"to_index":682,"interior_indices":[679,680,681],"interior_values":[295,307,602],"sum":1204,"residue":278},{"from_index":682,"to_index":683,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":683,"to_index":686,"interior_indices":[684,685],"interior_values":[568,227],"sum":795,"residue":795},{"from_index":686,"to_index":687,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":687,"to_index":688,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":688,"to_index":691,"interior_indices":[689,690],"interior_values":[61,26],"sum":87,"residue":87},{"from_index":691,"to_index":695,"interior_indices":[692,693,694],"interior_values":[113,200,313],"sum":626,"residue":626},{"from_index":695,"to_index":699,"interior_indices":[696,697,698],"interior_values":[826,413,313],"sum":1552,"residue":626},{"from_index":699,"to_index":704,"interior_indices":[700,701,702,703],"interior_values":[113,839,26,865],"sum":1843,"residue":917},{"from_index":704,"to_index":706,"interior_indices":[705],"interior_values":[830],"sum":830,"residue":830},{"from_index":706,"to_index":707,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":707,"to_index":710,"interior_indices":[708,709],"interior_values":[568,341],"sum":909,"residue":909},{"from_index":710,"to_index":711,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":711,"to_index":714,"interior_indices":[712,713],"interior_values":[307,631],"sum":938,"residue":12},{"from_index":714,"to_index":717,"interior_indices":[715,716],"interior_values":[643,655],"sum":1298,"residue":372},{"from_index":717,"to_index":723,"interior_indices":[718,719,720,721,722],"interior_values":[101,473,574,121,695],"sum":1964,"residue":112},{"from_index":723,"to_index":724,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":724,"to_index":727,"interior_indices":[725,726],"interior_values":[475,134],"sum":609,"residue":609},{"from_index":727,"to_index":729,"interior_indices":[728],"interior_values":[743],"sum":743,"residue":743},{"from_index":729,"to_index":730,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":730,"to_index":731,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":731,"to_index":732,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":732,"to_index":738,"interior_indices":[733,734,735,736,737],"interior_values":[655,641,370,85,455],"sum":2206,"residue":354},{"from_index":738,"to_index":739,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":739,"to_index":740,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":740,"to_index":741,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":741,"to_index":744,"interior_indices":[742,743],"interior_values":[361,113],"sum":474,"residue":474},{"from_index":744,"to_index":746,"interior_indices":[745],"interior_values":[587],"sum":587,"residue":587},{"from_index":746,"to_index":754,"interior_indices":[747,748,749,750,751,752,753],"interior_values":[722,857,653,584,311,895,280],"sum":4302,"residue":598},{"from_index":754,"to_index":757,"interior_indices":[755,756],"interior_values":[529,778],"sum":1307,"residue":381},{"from_index":757,"to_index":762,"interior_indices":[758,759,760,761],"interior_values":[233,614,847,535],"sum":2229,"residue":377},{"from_index":762,"to_index":769,"interior_indices":[763,764,765,766,767,768],"interior_values":[65,521,586,181,767,22],"sum":2142,"residue":290},{"from_index":769,"to_index":778,"interior_indices":[770,771,772,773,774,775,776,777],"interior_values":[811,674,559,307,866,247,187,434],"sum":4085,"residue":381},{"from_index":778,"to_index":779,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":779,"to_index":780,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":780,"to_index":781,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":781,"to_index":787,"interior_indices":[782,783,784,785,786],"interior_values":[703,656,433,163,596],"sum":2551,"residue":699},{"from_index":787,"to_index":788,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":788,"to_index":791,"interior_indices":[789,790],"interior_values":[262,691],"sum":953,"residue":27},{"from_index":791,"to_index":794,"interior_indices":[792,793],"interior_values":[718,745],"sum":1463,"residue":537},{"from_index":794,"to_index":800,"interior_indices":[795,796,797,798,799],"interior_values":[356,893,323,290,613],"sum":2475,"residue":623},{"from_index":800,"to_index":802,"interior_indices":[801],"interior_values":[590],"sum":590,"residue":590},{"from_index":802,"to_index":803,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":803,"to_index":804,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":804,"to_index":807,"interior_indices":[805,806],"interior_values":[103,901],"sum":1004,"residue":78},{"from_index":807,"to_index":811,"interior_indices":[808,809,810],"interior_values":[53,131,184],"sum":368,"residue":368},{"from_index":811,"to_index":814,"interior_indices":[812,813],"interior_values":[499,814],"sum":1313,"residue":387},{"from_index":814,"to_index":819,"interior_indices":[815,816,817,818],"interior_values":[275,662,11,673],"sum":1621,"residue":695},{"from_index":819,"to_index":821,"interior_indices":[820],"interior_values":[431],"sum":431,"residue":431},{"from_index":821,"to_index":828,"interior_indices":[822,823,824,825,826,827],"interior_values":[620,809,503,386,889,349],"sum":3556,"residue":778},{"from_index":828,"to_index":831,"interior_indices":[829,830],"interior_values":[661,47],"sum":708,"residue":708},{"from_index":831,"to_index":833,"interior_indices":[832],"interior_values":[755],"sum":755,"residue":755},{"from_index":833,"to_index":834,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":834,"to_index":835,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":835,"to_index":838,"interior_indices":[836,837],"interior_values":[343,320],"sum":663,"residue":663},{"from_index":838,"to_index":839,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":839,"to_index":840,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":840,"to_index":841,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":841,"to_index":845,"interior_indices":[842,843,844],"interior_values":[571,422,67],"sum":1060,"residue":134},{"from_index":845,"to_index":848,"interior_indices":[846,847],"interior_values":[556,119],"sum":675,"residue":675},{"from_index":848,"to_index":850,"interior_indices":[849],"interior_values":[794],"sum":794,"residue":794},{"from_index":850,"to_index":851,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":851,"to_index":855,"interior_indices":[852,853,854],"interior_values":[28,439,467],"sum":934,"residue":8},{"from_index":855,"to_index":856,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":856,"to_index":859,"interior_indices":[857,858],"interior_values":[427,874],"sum":1301,"residue":375},{"from_index":859,"to_index":864,"interior_indices":[860,861,862,863],"interior_values":[323,698,95,793],"sum":1909,"residue":57},{"from_index":864,"to_index":866,"interior_indices":[865],"interior_values":[755],"sum":755,"residue":755},{"from_index":866,"to_index":867,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":867,"to_index":870,"interior_indices":[868,869],"interior_values":[337,883],"sum":1220,"residue":294},{"from_index":870,"to_index":875,"interior_indices":[871,872,873,874],"interior_values":[251,545,796,415],"sum":2007,"residue":155},{"from_index":875,"to_index":878,"interior_indices":[876,877],"interior_values":[700,59],"sum":759,"residue":759},{"from_index":878,"to_index":880,"interior_indices":[879],"interior_values":[818],"sum":818,"residue":818},{"from_index":880,"to_index":881,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":881,"to_index":884,"interior_indices":[882,883],"interior_values":[268,811],"sum":1079,"residue":153},{"from_index":884,"to_index":888,"interior_indices":[885,886,887],"interior_values":[38,191,229],"sum":458,"residue":458},{"from_index":888,"to_index":891,"interior_indices":[889,890],"interior_values":[649,143],"sum":792,"residue":792},{"from_index":891,"to_index":892,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":892,"to_index":893,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":893,"to_index":894,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":894,"to_index":898,"interior_indices":[895,896,897],"interior_values":[685,569,328],"sum":1582,"residue":656},{"from_index":898,"to_index":900,"interior_indices":[899],"interior_values":[299],"sum":299,"residue":299},{"from_index":900,"to_index":907,"interior_indices":[901,902,903,904,905,906],"interior_values":[569,839,482,395,877,346],"sum":3508,"residue":730},{"from_index":907,"to_index":910,"interior_indices":[908,909],"interior_values":[643,14],"sum":657,"residue":657},{"from_index":910,"to_index":912,"interior_indices":[911],"interior_values":[671],"sum":671,"residue":671},{"from_index":912,"to_index":913,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":913,"to_index":914,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":914,"to_index":915,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":915,"to_index":918,"interior_indices":[916,917],"interior_values":[319,89],"sum":408,"residue":408},{"from_index":918,"to_index":925,"interior_indices":[919,920,921,922,923,924],"interior_values":[497,905,476,455,5,460],"sum":2798,"residue":20},{"from_index":925,"to_index":931,"interior_indices":[926,927,928,929,930],"interior_values":[925,464,463,1,464],"sum":2317,"residue":465},{"from_index":931,"to_index":932,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":932,"to_index":933,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":933,"to_index":934,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":934,"to_index":939,"interior_indices":[935,936,937,938],"interior_values":[13,484,497,55],"sum":1049,"residue":123},{"from_index":939,"to_index":942,"interior_indices":[940,941],"interior_values":[607,233],"sum":840,"residue":840},{"from_index":942,"to_index":943,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":943,"to_index":947,"interior_indices":[944,945,946],"interior_values":[61,208,269],"sum":538,"residue":538},{"from_index":947,"to_index":949,"interior_indices":[948],"interior_values":[746],"sum":746,"residue":746},{"from_index":949,"to_index":950,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":950,"to_index":951,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":951,"to_index":952,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":952,"to_index":957,"interior_indices":[953,954,955,956],"interior_values":[19,550,569,193],"sum":1331,"residue":405},{"from_index":957,"to_index":962,"interior_indices":[958,959,960,961],"interior_values":[29,791,820,685],"sum":2325,"residue":473},{"from_index":962,"to_index":970,"interior_indices":[963,964,965,966,967,968,969],"interior_values":[338,917,329,320,649,43,692],"sum":3288,"residue":510},{"from_index":970,"to_index":971,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":971,"to_index":974,"interior_indices":[972,973],"interior_values":[310,811],"sum":1121,"residue":195},{"from_index":974,"to_index":978,"interior_indices":[975,976,977],"interior_values":[80,275,355],"sum":710,"residue":710},{"from_index":978,"to_index":983,"interior_indices":[979,980,981,982],"interior_values":[59,689,748,511],"sum":2007,"residue":155},{"from_index":983,"to_index":987,"interior_indices":[984,985,986],"interior_values":[844,251,169],"sum":1264,"residue":338},{"from_index":987,"to_index":990,"interior_indices":[988,989],"interior_values":[589,83],"sum":672,"residue":672},{"from_index":990,"to_index":992,"interior_indices":[991],"interior_values":[755],"sum":755,"residue":755},{"from_index":992,"to_index":993,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":993,"to_index":994,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":994,"to_index":997,"interior_indices":[995,996],"interior_values":[235,140],"sum":375,"residue":375},{"from_index":997,"to_index":1004,"interior_indices":[998,999,1000,1001,1002,1003],"interior_values":[515,890,479,443,922,439],"sum":3688,"residue":910},{"from_index":1004,"to_index":1008,"interior_indices":[1005,1006,1007],"interior_values":[874,383,331],"sum":1588,"residue":662},{"from_index":1008,"to_index":1013,"interior_indices":[1009,1010,1011,1012],"interior_values":[119,833,26,859],"sum":1837,"residue":911},{"from_index":1013,"to_index":1015,"interior_indices":[1014],"interior_values":[818],"sum":818,"residue":818},{"from_index":1015,"to_index":1016,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1016,"to_index":1019,"interior_indices":[1017,1018],"interior_values":[520,263],"sum":783,"residue":783},{"from_index":1019,"to_index":1020,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1020,"to_index":1021,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1021,"to_index":1024,"interior_indices":[1022,1023],"interior_values":[97,74],"sum":171,"residue":171},{"from_index":1024,"to_index":1031,"interior_indices":[1025,1026,1027,1028,1029,1030],"interior_values":[245,416,661,151,812,37],"sum":2322,"residue":470},{"from_index":1031,"to_index":1036,"interior_indices":[1032,1033,1034,1035],"interior_values":[886,809,769,652],"sum":3116,"residue":338},{"from_index":1036,"to_index":1041,"interior_indices":[1037,1038,1039,1040],"interior_values":[221,716,11,727],"sum":1675,"residue":749},{"from_index":1041,"to_index":1043,"interior_indices":[1042],"interior_values":[539],"sum":539,"residue":539},{"from_index":1043,"to_index":1045,"interior_indices":[1044],"interior_values":[890],"sum":890,"residue":890},{"from_index":1045,"to_index":1046,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1046,"to_index":1047,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1047,"to_index":1048,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1048,"to_index":1052,"interior_indices":[1049,1050,1051],"interior_values":[541,488,103],"sum":1132,"residue":206},{"from_index":1052,"to_index":1056,"interior_indices":[1053,1054,1055],"interior_values":[694,359,127],"sum":1180,"residue":254},{"from_index":1056,"to_index":1059,"interior_indices":[1057,1058],"interior_values":[613,173],"sum":786,"residue":786},{"from_index":1059,"to_index":1060,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1060,"to_index":1061,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1061,"to_index":1062,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1062,"to_index":1069,"interior_indices":[1063,1064,1065,1066,1067,1068],"interior_values":[745,671,490,235,725,34],"sum":2900,"residue":122},{"from_index":1069,"to_index":1075,"interior_indices":[1070,1071,1072,1073,1074],"interior_values":[793,626,493,193,686],"sum":2791,"residue":13},{"from_index":1075,"to_index":1076,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1076,"to_index":1079,"interior_indices":[1077,1078],"interior_values":[592,305],"sum":897,"residue":897},{"from_index":1079,"to_index":1080,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1080,"to_index":1087,"interior_indices":[1081,1082,1083,1084,1085,1086],"interior_values":[247,523,770,367,211,578],"sum":2696,"residue":844},{"from_index":1087,"to_index":1088,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1088,"to_index":1091,"interior_indices":[1089,1090],"interior_values":[304,745],"sum":1049,"residue":123},{"from_index":1091,"to_index":1095,"interior_indices":[1092,1093,1094],"interior_values":[868,65,7],"sum":940,"residue":14},{"from_index":1095,"to_index":1099,"interior_indices":[1096,1097,1098],"interior_values":[79,151,230],"sum":460,"residue":460},{"from_index":1099,"to_index":1101,"interior_indices":[1100],"interior_values":[611],"sum":611,"residue":611},{"from_index":1101,"to_index":1108,"interior_indices":[1102,1103,1104,1105,1106,1107],"interior_values":[677,743,494,311,805,190],"sum":3220,"residue":442},{"from_index":1108,"to_index":1112,"interior_indices":[1109,1110,1111],"interior_values":[259,328,587],"sum":1174,"residue":248},{"from_index":1112,"to_index":1113,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1113,"to_index":1116,"interior_indices":[1114,1115],"interior_values":[565,215],"sum":780,"residue":780},{"from_index":1116,"to_index":1117,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1117,"to_index":1118,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1118,"to_index":1119,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1119,"to_index":1124,"interior_indices":[1120,1121,1122,1123],"interior_values":[841,833,748,655],"sum":3077,"residue":299},{"from_index":1124,"to_index":1129,"interior_indices":[1125,1126,1127,1128],"interior_values":[206,683,889,646],"sum":2424,"residue":572},{"from_index":1129,"to_index":1131,"interior_indices":[1130],"interior_values":[329],"sum":329,"residue":329},{"from_index":1131,"to_index":1138,"interior_indices":[1132,1133,1134,1135,1136,1137],"interior_values":[341,353,694,121,815,10],"sum":2334,"residue":482},{"from_index":1138,"to_index":1143,"interior_indices":[1139,1140,1141,1142],"interior_values":[835,734,643,451],"sum":2663,"residue":811},{"from_index":1143,"to_index":1146,"interior_indices":[1144,1145],"interior_values":[619,787],"sum":1406,"residue":480},{"from_index":1146,"to_index":1152,"interior_indices":[1147,1148,1149,1150,1151],"interior_values":[341,821,236,131,367],"sum":1896,"residue":44},{"from_index":1152,"to_index":1156,"interior_indices":[1153,1154,1155],"interior_values":[865,437,376],"sum":1678,"residue":752},{"from_index":1156,"to_index":1158,"interior_indices":[1157],"interior_values":[263],"sum":263,"residue":263},{"from_index":1158,"to_index":1163,"interior_indices":[1159,1160,1161,1162],"interior_values":[413,563,50,613],"sum":1639,"residue":713},{"from_index":1163,"to_index":1165,"interior_indices":[1164],"interior_values":[350],"sum":350,"residue":350},{"from_index":1165,"to_index":1170,"interior_indices":[1166,1167,1168,1169],"interior_values":[437,524,35,559],"sum":1555,"residue":629},{"from_index":1170,"to_index":1176,"interior_indices":[1171,1172,1173,1174,1175],"interior_values":[227,821,122,17,139],"sum":1326,"residue":400},{"from_index":1176,"to_index":1183,"interior_indices":[1177,1178,1179,1180,1181,1182],"interior_values":[295,451,746,271,91,362],"sum":2216,"residue":364},{"from_index":1183,"to_index":1185,"interior_indices":[1184],"interior_values":[815],"sum":815,"residue":815},{"from_index":1185,"to_index":1186,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1186,"to_index":1187,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1187,"to_index":1188,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1188,"to_index":1191,"interior_indices":[1189,1190],"interior_values":[451,329],"sum":780,"residue":780},{"from_index":1191,"to_index":1192,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1192,"to_index":1196,"interior_indices":[1193,1194,1195],"interior_values":[37,220,257],"sum":514,"residue":514},{"from_index":1196,"to_index":1198,"interior_indices":[1197],"interior_values":[734],"sum":734,"residue":734},{"from_index":1198,"to_index":1199,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1199,"to_index":1200,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1200,"to_index":1201,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1201,"to_index":1202,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1202,"to_index":1205,"interior_indices":[1203,1204],"interior_values":[394,317],"sum":711,"residue":711},{"from_index":1205,"to_index":1206,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1206,"to_index":1207,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1207,"to_index":1208,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1208,"to_index":1213,"interior_indices":[1209,1210,1211,1212],"interior_values":[802,791,667,532],"sum":2792,"residue":14},{"from_index":1213,"to_index":1217,"interior_indices":[1214,1215,1216],"interior_values":[805,152,31],"sum":988,"residue":62},{"from_index":1217,"to_index":1222,"interior_indices":[1218,1219,1220,1221],"interior_values":[214,397,611,82],"sum":1304,"residue":378},{"from_index":1222,"to_index":1228,"interior_indices":[1223,1224,1225,1226,1227],"interior_values":[775,542,391,7,398],"sum":2113,"residue":261},{"from_index":1228,"to_index":1230,"interior_indices":[1229],"interior_values":[803],"sum":803,"residue":803},{"from_index":1230,"to_index":1231,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1231,"to_index":1232,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1232,"to_index":1233,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1233,"to_index":1239,"interior_indices":[1234,1235,1236,1237,1238],"interior_values":[115,715,830,619,523],"sum":2802,"residue":24},{"from_index":1239,"to_index":1242,"interior_indices":[1240,1241],"interior_values":[739,29],"sum":768,"residue":768},{"from_index":1242,"to_index":1244,"interior_indices":[1243],"interior_values":[797],"sum":797,"residue":797},{"from_index":1244,"to_index":1245,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1245,"to_index":1248,"interior_indices":[1246,1247],"interior_values":[223,733],"sum":956,"residue":30},{"from_index":1248,"to_index":1251,"interior_indices":[1249,1250],"interior_values":[763,793],"sum":1556,"residue":630},{"from_index":1251,"to_index":1253,"interior_indices":[1252],"interior_values":[497],"sum":497,"residue":497},{"from_index":1253,"to_index":1261,"interior_indices":[1254,1255,1256,1257,1258,1259,1260],"interior_values":[698,899,671,644,389,107,496],"sum":3904,"residue":200},{"from_index":1261,"to_index":1266,"interior_indices":[1262,1263,1264,1265],"interior_values":[173,776,23,799],"sum":1771,"residue":845},{"from_index":1266,"to_index":1268,"interior_indices":[1267],"interior_values":[695],"sum":695,"residue":695},{"from_index":1268,"to_index":1269,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1269,"to_index":1273,"interior_indices":[1270,1271,1272],"interior_values":[25,385,410],"sum":820,"residue":820},{"from_index":1273,"to_index":1274,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1274,"to_index":1279,"interior_indices":[1275,1276,1277,1278],"interior_values":[148,427,575,76],"sum":1226,"residue":300},{"from_index":1279,"to_index":1283,"interior_indices":[1280,1281,1282],"interior_values":[727,452,253],"sum":1432,"residue":506},{"from_index":1283,"to_index":1288,"interior_indices":[1284,1285,1286,1287],"interior_values":[32,737,769,580],"sum":2118,"residue":266},{"from_index":1288,"to_index":1294,"interior_indices":[1289,1290,1291,1292,1293],"interior_values":[77,500,577,151,728],"sum":2033,"residue":181},{"from_index":1294,"to_index":1295,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1295,"to_index":1299,"interior_indices":[1296,1297,1298],"interior_values":[634,389,97],"sum":1120,"residue":194},{"from_index":1299,"to_index":1302,"interior_indices":[1300,1301],"interior_values":[583,143],"sum":726,"residue":726},{"from_index":1302,"to_index":1304,"interior_indices":[1303],"interior_values":[869],"sum":869,"residue":869},{"from_index":1304,"to_index":1305,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1305,"to_index":1308,"interior_indices":[1306,1307],"interior_values":[355,41],"sum":396,"residue":396},{"from_index":1308,"to_index":1314,"interior_indices":[1309,1310,1311,1312,1313],"interior_values":[437,833,344,251,595],"sum":2460,"residue":608},{"from_index":1314,"to_index":1316,"interior_indices":[1315],"interior_values":[515],"sum":515,"residue":515},{"from_index":1316,"to_index":1317,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1317,"to_index":1318,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1318,"to_index":1319,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1319,"to_index":1324,"interior_indices":[1320,1321,1322,1323],"interior_values":[16,499,515,88],"sum":1118,"residue":192},{"from_index":1324,"to_index":1328,"interior_indices":[1325,1326,1327],"interior_values":[691,368,133],"sum":1192,"residue":266},{"from_index":1328,"to_index":1331,"interior_indices":[1329,1330],"interior_values":[634,209],"sum":843,"residue":843},{"from_index":1331,"to_index":1332,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1332,"to_index":1336,"interior_indices":[1333,1334,1335],"interior_values":[43,169,212],"sum":424,"residue":424},{"from_index":1336,"to_index":1338,"interior_indices":[1337],"interior_values":[593],"sum":593,"residue":593},{"from_index":1338,"to_index":1344,"interior_indices":[1339,1340,1341,1342,1343],"interior_values":[641,689,404,167,571],"sum":2472,"residue":620},{"from_index":1344,"to_index":1346,"interior_indices":[1345],"interior_values":[383],"sum":383,"residue":383},{"from_index":1346,"to_index":1354,"interior_indices":[1347,1348,1349,1350,1351,1352,1353],"interior_values":[578,773,425,272,697,43,740],"sum":3528,"residue":750},{"from_index":1354,"to_index":1355,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1355,"to_index":1358,"interior_indices":[1356,1357],"interior_values":[454,125],"sum":579,"residue":579},{"from_index":1358,"to_index":1360,"interior_indices":[1359],"interior_values":[704],"sum":704,"residue":704},{"from_index":1360,"to_index":1361,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1361,"to_index":1362,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1362,"to_index":1363,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1363,"to_index":1366,"interior_indices":[1364,1365],"interior_values":[193,820],"sum":1013,"residue":87},{"from_index":1366,"to_index":1370,"interior_indices":[1367,1368,1369],"interior_values":[907,68,49],"sum":1024,"residue":98},{"from_index":1370,"to_index":1374,"interior_indices":[1371,1372,1373],"interior_values":[166,283,449],"sum":898,"residue":898},{"from_index":1374,"to_index":1375,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1375,"to_index":1379,"interior_indices":[1376,1377,1378],"interior_values":[61,316,377],"sum":754,"residue":754},{"from_index":1379,"to_index":1380,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1380,"to_index":1381,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1381,"to_index":1384,"interior_indices":[1382,1383],"interior_values":[55,892],"sum":947,"residue":21},{"from_index":1384,"to_index":1387,"interior_indices":[1385,1386],"interior_values":[913,8],"sum":921,"residue":921},{"from_index":1387,"to_index":1388,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1388,"to_index":1389,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1389,"to_index":1392,"interior_indices":[1390,1391],"interior_values":[1,925],"sum":926,"residue":0},{"from_index":1392,"to_index":1395,"interior_indices":[1393,1394],"interior_values":[925,925],"sum":1850,"residue":924},{"from_index":1395,"to_index":1397,"interior_indices":[1396],"interior_values":[923],"sum":923,"residue":923},{"from_index":1397,"to_index":1398,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1398,"to_index":1403,"interior_indices":[1399,1400,1401,1402],"interior_values":[913,905,892,871],"sum":3581,"residue":803},{"from_index":1403,"to_index":1405,"interior_indices":[1404],"interior_values":[782],"sum":782,"residue":782},{"from_index":1405,"to_index":1406,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1406,"to_index":1409,"interior_indices":[1407,1408],"interior_values":[316,865],"sum":1181,"residue":255},{"from_index":1409,"to_index":1416,"interior_indices":[1410,1411,1412,1413,1414,1415],"interior_values":[194,449,643,166,809,49],"sum":2310,"residue":458},{"from_index":1416,"to_index":1421,"interior_indices":[1417,1418,1419,1420],"interior_values":[907,839,820,733],"sum":3299,"residue":521},{"from_index":1421,"to_index":1423,"interior_indices":[1422],"interior_values":[434],"sum":434,"residue":434},{"from_index":1423,"to_index":1429,"interior_indices":[1424,1425,1426,1427,1428],"interior_values":[569,704,347,125,472],"sum":2217,"residue":365},{"from_index":1429,"to_index":1434,"interior_indices":[1430,1431,1432,1433],"interior_values":[143,740,883,697],"sum":2463,"residue":611},{"from_index":1434,"to_index":1436,"interior_indices":[1435],"interior_values":[425],"sum":425,"residue":425},{"from_index":1436,"to_index":1442,"interior_indices":[1437,1438,1439,1440,1441],"interior_values":[578,731,383,188,571],"sum":2451,"residue":599},{"from_index":1442,"to_index":1444,"interior_indices":[1443],"interior_values":[404],"sum":404,"residue":404},{"from_index":1444,"to_index":1453,"interior_indices":[1445,1446,1447,1448,1449,1450,1451,1452],"interior_values":[641,878,593,545,212,757,43,800],"sum":4469,"residue":765},{"from_index":1453,"to_index":1454,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1454,"to_index":1458,"interior_indices":[1455,1456,1457],"interior_values":[634,425,133],"sum":1192,"residue":266},{"from_index":1458,"to_index":1462,"interior_indices":[1459,1460,1461],"interior_values":[691,323,88],"sum":1102,"residue":176},{"from_index":1462,"to_index":1465,"interior_indices":[1463,1464],"interior_values":[499,910],"sum":1409,"residue":483},{"from_index":1465,"to_index":1467,"interior_indices":[1466],"interior_values":[467],"sum":467,"residue":467},{"from_index":1467,"to_index":1472,"interior_indices":[1468,1469,1470,1471],"interior_values":[491,515,80,595],"sum":1681,"residue":755},{"from_index":1472,"to_index":1474,"interior_indices":[1473],"interior_values":[344],"sum":344,"residue":344},{"from_index":1474,"to_index":1479,"interior_indices":[1475,1476,1477,1478],"interior_values":[437,530,41,571],"sum":1579,"residue":653},{"from_index":1479,"to_index":1485,"interior_indices":[1480,1481,1482,1483,1484],"interior_values":[257,869,200,143,343],"sum":1812,"residue":886},{"from_index":1485,"to_index":1489,"interior_indices":[1486,1487,1488],"interior_values":[829,389,292],"sum":1510,"residue":584},{"from_index":1489,"to_index":1494,"interior_indices":[1490,1491,1492,1493],"interior_values":[47,728,775,577],"sum":2127,"residue":275},{"from_index":1494,"to_index":1500,"interior_indices":[1495,1496,1497,1498,1499],"interior_values":[77,503,580,157,737],"sum":2054,"residue":202},{"from_index":1500,"to_index":1501,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1501,"to_index":1505,"interior_indices":[1502,1503,1504],"interior_values":[673,452,199],"sum":1324,"residue":398},{"from_index":1505,"to_index":1511,"interior_indices":[1506,1507,1508,1509,1510],"interior_values":[850,575,499,148,647],"sum":2719,"residue":867},{"from_index":1511,"to_index":1512,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1512,"to_index":1515,"interior_indices":[1513,1514],"interior_values":[385,901],"sum":1286,"residue":360},{"from_index":1515,"to_index":1520,"interior_indices":[1516,1517,1518,1519],"interior_values":[335,695,104,799],"sum":1933,"residue":81},{"from_index":1520,"to_index":1522,"interior_indices":[1521],"interior_values":[776],"sum":776,"residue":776},{"from_index":1522,"to_index":1523,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1523,"to_index":1526,"interior_indices":[1524,1525],"interior_values":[430,107],"sum":537,"residue":537},{"from_index":1526,"to_index":1528,"interior_indices":[1527],"interior_values":[644],"sum":644,"residue":644},{"from_index":1528,"to_index":1530,"interior_indices":[1529],"interior_values":[899],"sum":899,"residue":899},{"from_index":1530,"to_index":1531,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1531,"to_index":1532,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1532,"to_index":1533,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1533,"to_index":1539,"interior_indices":[1534,1535,1536,1537,1538],"interior_values":[133,763,896,733,703],"sum":3228,"residue":450},{"from_index":1539,"to_index":1545,"interior_indices":[1540,1541,1542,1543,1544],"interior_values":[287,797,158,29,187],"sum":1458,"residue":532},{"from_index":1545,"to_index":1548,"interior_indices":[1546,1547],"interior_values":[403,619],"sum":1022,"residue":96},{"from_index":1548,"to_index":1551,"interior_indices":[1549,1550],"interior_values":[715,811],"sum":1526,"residue":600},{"from_index":1551,"to_index":1553,"interior_indices":[1552],"interior_values":[485],"sum":485,"residue":485},{"from_index":1553,"to_index":1560,"interior_indices":[1554,1555,1556,1557,1558,1559],"interior_values":[644,803,521,398,919,391],"sum":3676,"residue":898},{"from_index":1560,"to_index":1564,"interior_indices":[1561,1562,1563],"interior_values":[775,233,82],"sum":1090,"residue":164},{"from_index":1564,"to_index":1567,"interior_indices":[1565,1566],"interior_values":[397,712],"sum":1109,"residue":183},{"from_index":1567,"to_index":1571,"interior_indices":[1568,1569,1570],"interior_values":[895,152,121],"sum":1168,"residue":242},{"from_index":1571,"to_index":1574,"interior_indices":[1572,1573],"interior_values":[394,667],"sum":1061,"residue":135},{"from_index":1574,"to_index":1577,"interior_indices":[1575,1576],"interior_values":[802,11],"sum":813,"residue":813},{"from_index":1577,"to_index":1579,"interior_indices":[1578],"interior_values":[824],"sum":824,"residue":824},{"from_index":1579,"to_index":1580,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1580,"to_index":1583,"interior_indices":[1581,1582],"interior_values":[394,77],"sum":471,"residue":471},{"from_index":1583,"to_index":1585,"interior_indices":[1584],"interior_values":[548],"sum":548,"residue":548},{"from_index":1585,"to_index":1593,"interior_indices":[1586,1587,1588,1589,1590,1591,1592],"interior_values":[641,734,449,257,706,37,743],"sum":3567,"residue":789},{"from_index":1593,"to_index":1594,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1594,"to_index":1597,"interior_indices":[1595,1596],"interior_values":[451,122],"sum":573,"residue":573},{"from_index":1597,"to_index":1599,"interior_indices":[1598],"interior_values":[695],"sum":695,"residue":695},{"from_index":1599,"to_index":1600,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1600,"to_index":1601,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1601,"to_index":1602,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1602,"to_index":1610,"interior_indices":[1603,1604,1605,1606,1607,1608,1609],"interior_values":[91,655,746,475,295,770,139],"sum":3171,"residue":393},{"from_index":1610,"to_index":1612,"interior_indices":[1611],"interior_values":[122],"sum":122,"residue":122},{"from_index":1612,"to_index":1616,"interior_indices":[1613,1614,1615],"interior_values":[227,332,559],"sum":1118,"residue":192},{"from_index":1616,"to_index":1618,"interior_indices":[1617],"interior_values":[524],"sum":524,"residue":524},{"from_index":1618,"to_index":1619,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1619,"to_index":1620,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1620,"to_index":1621,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1621,"to_index":1624,"interior_indices":[1622,1623],"interior_values":[313,50],"sum":363,"residue":363},{"from_index":1624,"to_index":1630,"interior_indices":[1625,1626,1627,1628,1629],"interior_values":[413,776,263,113,376],"sum":1941,"residue":89},{"from_index":1630,"to_index":1634,"interior_indices":[1631,1632,1633],"interior_values":[865,428,367],"sum":1660,"residue":734},{"from_index":1634,"to_index":1636,"interior_indices":[1635],"interior_values":[236],"sum":236,"residue":236},{"from_index":1636,"to_index":1641,"interior_indices":[1637,1638,1639,1640],"interior_values":[341,446,787,307],"sum":1881,"residue":29},{"from_index":1641,"to_index":1644,"interior_indices":[1642,1643],"interior_values":[475,643],"sum":1118,"residue":192},{"from_index":1644,"to_index":1648,"interior_indices":[1645,1646,1647],"interior_values":[835,101,10],"sum":946,"residue":20},{"from_index":1648,"to_index":1652,"interior_indices":[1649,1650,1651],"interior_values":[121,232,353],"sum":706,"residue":706},{"from_index":1652,"to_index":1653,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1653,"to_index":1654,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1654,"to_index":1655,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1655,"to_index":1658,"interior_indices":[1656,1657],"interior_values":[280,889],"sum":1169,"residue":243},{"from_index":1658,"to_index":1665,"interior_indices":[1659,1660,1661,1662,1663,1664],"interior_values":[206,449,655,178,833,85],"sum":2406,"residue":554},{"from_index":1665,"to_index":1667,"interior_indices":[1666],"interior_values":[77],"sum":77,"residue":77},{"from_index":1667,"to_index":1671,"interior_indices":[1668,1669,1670],"interior_values":[146,215,361],"sum":722,"residue":722},{"from_index":1671,"to_index":1680,"interior_indices":[1672,1673,1674,1675,1676,1677,1678,1679],"interior_values":[11,587,598,259,857,190,121,311],"sum":2934,"residue":156},{"from_index":1680,"to_index":1682,"interior_indices":[1681],"interior_values":[743],"sum":743,"residue":743},{"from_index":1682,"to_index":1683,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1683,"to_index":1684,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1684,"to_index":1685,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1685,"to_index":1686,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1686,"to_index":1689,"interior_indices":[1687,1688],"interior_values":[151,847],"sum":998,"residue":72},{"from_index":1689,"to_index":1693,"interior_indices":[1690,1691,1692],"interior_values":[919,65,58],"sum":1042,"residue":116},{"from_index":1693,"to_index":1697,"interior_indices":[1694,1695,1696],"interior_values":[181,304,485],"sum":970,"residue":44},{"from_index":1697,"to_index":1698,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1698,"to_index":1705,"interior_indices":[1699,1700,1701,1702,1703,1704],"interior_values":[211,559,770,403,247,650],"sum":2840,"residue":62},{"from_index":1705,"to_index":1706,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1706,"to_index":1709,"interior_indices":[1707,1708],"interior_values":[592,287],"sum":879,"residue":879},{"from_index":1709,"to_index":1710,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1710,"to_index":1715,"interior_indices":[1711,1712,1713,1714],"interior_values":[193,433,626,133],"sum":1385,"residue":459},{"from_index":1715,"to_index":1720,"interior_indices":[1716,1717,1718,1719],"interior_values":[892,725,691,490],"sum":2798,"residue":20},{"from_index":1720,"to_index":1723,"interior_indices":[1721,1722],"interior_values":[745,74],"sum":819,"residue":819},{"from_index":1723,"to_index":1725,"interior_indices":[1724],"interior_values":[893],"sum":893,"residue":893},{"from_index":1725,"to_index":1726,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1726,"to_index":1730,"interior_indices":[1727,1728,1729],"interior_values":[613,440,127],"sum":1180,"residue":254},{"from_index":1730,"to_index":1734,"interior_indices":[1731,1732,1733],"interior_values":[694,335,103],"sum":1132,"residue":206},{"from_index":1734,"to_index":1737,"interior_indices":[1735,1736],"interior_values":[541,53],"sum":594,"residue":594},{"from_index":1737,"to_index":1739,"interior_indices":[1738],"interior_values":[647],"sum":647,"residue":647},{"from_index":1739,"to_index":1740,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1740,"to_index":1741,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1741,"to_index":1742,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1742,"to_index":1743,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1743,"to_index":1746,"interior_indices":[1744,1745],"interior_values":[199,11],"sum":210,"residue":210},{"from_index":1746,"to_index":1753,"interior_indices":[1747,1748,1749,1750,1751,1752],"interior_values":[221,431,652,157,809,40],"sum":2310,"residue":458},{"from_index":1753,"to_index":1758,"interior_indices":[1754,1755,1756,1757],"interior_values":[889,812,775,661],"sum":3137,"residue":359},{"from_index":1758,"to_index":1763,"interior_indices":[1759,1760,1761,1762],"interior_values":[245,755,74,829],"sum":1903,"residue":51},{"from_index":1763,"to_index":1765,"interior_indices":[1764],"interior_values":[806],"sum":806,"residue":806},{"from_index":1765,"to_index":1766,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1766,"to_index":1769,"interior_indices":[1767,1768],"interior_values":[520,257],"sum":777,"residue":777},{"from_index":1769,"to_index":1770,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1770,"to_index":1771,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1771,"to_index":1774,"interior_indices":[1772,1773],"interior_values":[67,26],"sum":93,"residue":93},{"from_index":1774,"to_index":1778,"interior_indices":[1775,1776,1777],"interior_values":[119,212,331],"sum":662,"residue":662},{"from_index":1778,"to_index":1784,"interior_indices":[1779,1780,1781,1782,1783],"interior_values":[874,491,439,4,443],"sum":2251,"residue":399},{"from_index":1784,"to_index":1786,"interior_indices":[1785],"interior_values":[890],"sum":890,"residue":890},{"from_index":1786,"to_index":1787,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1787,"to_index":1788,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1788,"to_index":1791,"interior_indices":[1789,1790],"interior_values":[235,95],"sum":330,"residue":330},{"from_index":1791,"to_index":1797,"interior_indices":[1792,1793,1794,1795,1796],"interior_values":[425,755,254,83,337],"sum":1854,"residue":2},{"from_index":1797,"to_index":1801,"interior_indices":[1798,1799,1800],"interior_values":[757,251,82],"sum":1090,"residue":164},{"from_index":1801,"to_index":1804,"interior_indices":[1802,1803],"interior_values":[415,748],"sum":1163,"residue":237},{"from_index":1804,"to_index":1808,"interior_indices":[1805,1806,1807],"interior_values":[59,296,355],"sum":710,"residue":710},{"from_index":1808,"to_index":1813,"interior_indices":[1809,1810,1811,1812],"interior_values":[80,731,811,616],"sum":2238,"residue":386},{"from_index":1813,"to_index":1818,"interior_indices":[1814,1815,1816,1817],"interior_values":[191,692,883,649],"sum":2415,"residue":563},{"from_index":1818,"to_index":1820,"interior_indices":[1819],"interior_values":[329],"sum":329,"residue":329},{"from_index":1820,"to_index":1826,"interior_indices":[1821,1822,1823,1824,1825],"interior_values":[338,347,685,106,791],"sum":2267,"residue":415},{"from_index":1826,"to_index":1827,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1827,"to_index":1833,"interior_indices":[1828,1829,1830,1831,1832],"interior_values":[733,569,376,19,395],"sum":2092,"residue":240},{"from_index":1833,"to_index":1835,"interior_indices":[1834],"interior_values":[809],"sum":809,"residue":809},{"from_index":1835,"to_index":1836,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1836,"to_index":1837,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1837,"to_index":1838,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1838,"to_index":1841,"interior_indices":[1839,1840],"interior_values":[208,865],"sum":1073,"residue":147},{"from_index":1841,"to_index":1845,"interior_indices":[1842,1843,1844],"interior_values":[86,233,319],"sum":638,"residue":638},{"from_index":1845,"to_index":1851,"interior_indices":[1846,1847,1848,1849,1850],"interior_values":[871,497,442,13,455],"sum":2278,"residue":426},{"from_index":1851,"to_index":1853,"interior_indices":[1852],"interior_values":[923],"sum":923,"residue":923},{"from_index":1853,"to_index":1854,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1854,"to_index":1859,"interior_indices":[1855,1856,1857,1858],"interior_values":[1,463,464,1],"sum":929,"residue":3},{"from_index":1859,"to_index":1862,"interior_indices":[1860,1861],"interior_values":[466,5],"sum":471,"residue":471},{"from_index":1862,"to_index":1864,"interior_indices":[1863],"interior_values":[476],"sum":476,"residue":476},{"from_index":1864,"to_index":1869,"interior_indices":[1865,1866,1867,1868],"interior_values":[497,518,89,607],"sum":1711,"residue":785},{"from_index":1869,"to_index":1871,"interior_indices":[1870],"interior_values":[377],"sum":377,"residue":377},{"from_index":1871,"to_index":1877,"interior_indices":[1872,1873,1874,1875,1876],"interior_values":[524,671,269,14,283],"sum":1761,"residue":835},{"from_index":1877,"to_index":1880,"interior_indices":[1878,1879],"interior_values":[580,877],"sum":1457,"residue":531},{"from_index":1880,"to_index":1882,"interior_indices":[1881],"interior_values":[482],"sum":482,"residue":482},{"from_index":1882,"to_index":1888,"interior_indices":[1883,1884,1885,1886,1887],"interior_values":[569,656,299,29,328],"sum":1881,"residue":29},{"from_index":1888,"to_index":1891,"interior_indices":[1889,1890],"interior_values":[685,116],"sum":801,"residue":801},{"from_index":1891,"to_index":1893,"interior_indices":[1892],"interior_values":[917],"sum":917,"residue":917},{"from_index":1893,"to_index":1894,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1894,"to_index":1898,"interior_indices":[1895,1896,1897],"interior_values":[649,506,229],"sum":1384,"residue":458},{"from_index":1898,"to_index":1903,"interior_indices":[1899,1900,1901,1902],"interior_values":[38,773,811,658],"sum":2280,"residue":428},{"from_index":1903,"to_index":1909,"interior_indices":[1904,1905,1906,1907,1908],"interior_values":[275,818,167,59,226],"sum":1545,"residue":619},{"from_index":1909,"to_index":1912,"interior_indices":[1910,1911],"interior_values":[511,796],"sum":1307,"residue":381},{"from_index":1912,"to_index":1917,"interior_indices":[1913,1914,1915,1916],"interior_values":[251,632,883,589],"sum":2355,"residue":503},{"from_index":1917,"to_index":1922,"interior_indices":[1918,1919,1920,1921],"interior_values":[209,755,38,793],"sum":1795,"residue":869},{"from_index":1922,"to_index":1924,"interior_indices":[1923],"interior_values":[698],"sum":698,"residue":698},{"from_index":1924,"to_index":1925,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1925,"to_index":1929,"interior_indices":[1926,1927,1928],"interior_values":[52,427,479],"sum":958,"residue":32},{"from_index":1929,"to_index":1930,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1930,"to_index":1933,"interior_indices":[1931,1932],"interior_values":[439,898],"sum":1337,"residue":411},{"from_index":1933,"to_index":1939,"interior_indices":[1934,1935,1936,1937,1938],"interior_values":[383,794,251,119,370],"sum":1917,"residue":65},{"from_index":1939,"to_index":1943,"interior_indices":[1940,1941,1942],"interior_values":[859,422,355],"sum":1636,"residue":710},{"from_index":1943,"to_index":1945,"interior_indices":[1944],"interior_values":[206],"sum":206,"residue":206},{"from_index":1945,"to_index":1949,"interior_indices":[1946,1947,1948],"interior_values":[263,320,583],"sum":1166,"residue":240},{"from_index":1949,"to_index":1951,"interior_indices":[1950],"interior_values":[560],"sum":560,"residue":560},{"from_index":1951,"to_index":1952,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1952,"to_index":1953,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1953,"to_index":1954,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1954,"to_index":1960,"interior_indices":[1955,1956,1957,1958,1959],"interior_values":[661,614,349,37,386],"sum":2047,"residue":195},{"from_index":1960,"to_index":1962,"interior_indices":[1961],"interior_values":[809],"sum":809,"residue":809},{"from_index":1962,"to_index":1963,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1963,"to_index":1964,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1964,"to_index":1965,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1965,"to_index":1968,"interior_indices":[1966,1967],"interior_values":[253,11],"sum":264,"residue":264},{"from_index":1968,"to_index":1973,"interior_indices":[1969,1970,1971,1972],"interior_values":[275,539,814,427],"sum":2055,"residue":203},{"from_index":1973,"to_index":1976,"interior_indices":[1974,1975],"interior_values":[742,131],"sum":873,"residue":873},{"from_index":1976,"to_index":1977,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1977,"to_index":1981,"interior_indices":[1978,1979,1980],"interior_values":[25,103,128],"sum":256,"residue":256},{"from_index":1981,"to_index":1986,"interior_indices":[1982,1983,1984,1985],"interior_values":[359,590,23,613],"sum":1585,"residue":659},{"from_index":1986,"to_index":1988,"interior_indices":[1987],"interior_values":[323],"sum":323,"residue":323},{"from_index":1988,"to_index":1993,"interior_indices":[1989,1990,1991,1992],"interior_values":[356,389,745,208],"sum":1698,"residue":772},{"from_index":1993,"to_index":1997,"interior_indices":[1994,1995,1996],"interior_values":[235,262,497],"sum":994,"residue":68},{"from_index":1997,"to_index":1998,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1998,"to_index":2003,"interior_indices":[1999,2000,2001,2002],"interior_values":[163,493,656,223],"sum":1535,"residue":609},{"from_index":2003,"to_index":2005,"interior_indices":[2004],"interior_values":[176],"sum":176,"residue":176},{"from_index":2005,"to_index":2010,"interior_indices":[2006,2007,2008,2009],"interior_values":[305,434,739,247],"sum":1725,"residue":799},{"from_index":2010,"to_index":2015,"interior_indices":[2011,2012,2013,2014],"interior_values":[307,367,674,115],"sum":1463,"residue":537},{"from_index":2015,"to_index":2020,"interior_indices":[2016,2017,2018,2019],"interior_values":[904,767,745,586],"sum":3002,"residue":224},{"from_index":2020,"to_index":2026,"interior_indices":[2021,2022,2023,2024,2025],"interior_values":[65,470,535,79,614],"sum":1763,"residue":837},{"from_index":2026,"to_index":2027,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2027,"to_index":2034,"interior_indices":[2028,2029,2030,2031,2032,2033],"interior_values":[148,529,677,280,31,311],"sum":1976,"residue":124},{"from_index":2034,"to_index":2036,"interior_indices":[2035],"interior_values":[653],"sum":653,"residue":653},{"from_index":2036,"to_index":2043,"interior_indices":[2037,2038,2039,2040,2041,2042],"interior_values":[722,791,587,452,113,565],"sum":3230,"residue":452},{"from_index":2043,"to_index":2045,"interior_indices":[2044],"interior_values":[317],"sum":317,"residue":317},{"from_index":2045,"to_index":2050,"interior_indices":[2046,2047,2048,2049],"interior_values":[386,455,841,370],"sum":2052,"residue":200},{"from_index":2050,"to_index":2053,"interior_indices":[2051,2052],"interior_values":[655,14],"sum":669,"residue":669},{"from_index":2053,"to_index":2055,"interior_indices":[2054],"interior_values":[683],"sum":683,"residue":683},{"from_index":2055,"to_index":2056,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2056,"to_index":2057,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2057,"to_index":2058,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2058,"to_index":2061,"interior_indices":[2059,2060],"interior_values":[475,341],"sum":816,"residue":816},{"from_index":2061,"to_index":2062,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2062,"to_index":2066,"interior_indices":[2063,2064,2065],"interior_values":[121,352,473],"sum":946,"residue":20},{"from_index":2066,"to_index":2067,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2067,"to_index":2073,"interior_indices":[2068,2069,2070,2071,2072],"interior_values":[271,643,914,631,619],"sum":3078,"residue":300},{"from_index":2073,"to_index":2077,"interior_indices":[2074,2075,2076],"interior_values":[17,341,358],"sum":716,"residue":716},{"from_index":2077,"to_index":2082,"interior_indices":[2078,2079,2080,2081],"interior_values":[131,830,35,865],"sum":1861,"residue":9},{"from_index":2082,"to_index":2084,"interior_indices":[2083],"interior_values":[839],"sum":839,"residue":839},{"from_index":2084,"to_index":2085,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2085,"to_index":2089,"interior_indices":[2086,2087,2088],"interior_values":[613,413,100],"sum":1126,"residue":200},{"from_index":2089,"to_index":2092,"interior_indices":[2090,2091],"interior_values":[613,200],"sum":813,"residue":813},{"from_index":2092,"to_index":2093,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2093,"to_index":2094,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2094,"to_index":2097,"interior_indices":[2095,2096],"interior_values":[61,35],"sum":96,"residue":96},{"from_index":2097,"to_index":2101,"interior_indices":[2098,2099,2100],"interior_values":[131,227,358],"sum":716,"residue":716},{"from_index":2101,"to_index":2110,"interior_indices":[2102,2103,2104,2105,2106,2107,2108,2109],"interior_values":[17,602,619,295,914,283,271,554],"sum":3555,"residue":777},{"from_index":2110,"to_index":2111,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2111,"to_index":2114,"interior_indices":[2112,2113],"interior_values":[352,805],"sum":1157,"residue":231},{"from_index":2114,"to_index":2118,"interior_indices":[2115,2116,2117],"interior_values":[110,341,451],"sum":902,"residue":902},{"from_index":2118,"to_index":2120,"interior_indices":[2119],"interior_values":[317],"sum":317,"residue":317},{"from_index":2120,"to_index":2126,"interior_indices":[2121,2122,2123,2124,2125],"interior_values":[500,683,257,14,271],"sum":1725,"residue":799},{"from_index":2126,"to_index":2129,"interior_indices":[2127,2128],"interior_values":[556,841],"sum":1397,"residue":471},{"from_index":2129,"to_index":2135,"interior_indices":[2130,2131,2132,2133,2134],"interior_values":[386,857,317,248,565],"sum":2373,"residue":521},{"from_index":2135,"to_index":2137,"interior_indices":[2136],"interior_values":[452],"sum":452,"residue":452},{"from_index":2137,"to_index":2139,"interior_indices":[2138],"interior_values":[791],"sum":791,"residue":791},{"from_index":2139,"to_index":2140,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2140,"to_index":2141,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2141,"to_index":2142,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2142,"to_index":2143,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2143,"to_index":2150,"interior_indices":[2144,2145,2146,2147,2148,2149],"interior_values":[31,646,677,397,148,545],"sum":2444,"residue":592},{"from_index":2150,"to_index":2151,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2151,"to_index":2155,"interior_indices":[2152,2153,2154],"interior_values":[79,391,470],"sum":940,"residue":14},{"from_index":2155,"to_index":2156,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2156,"to_index":2159,"interior_indices":[2157,2158],"interior_values":[340,745],"sum":1085,"residue":159},{"from_index":2159,"to_index":2163,"interior_indices":[2160,2161,2162],"interior_values":[904,137,115],"sum":1156,"residue":230},{"from_index":2163,"to_index":2166,"interior_indices":[2164,2165],"interior_values":[367,619],"sum":986,"residue":60},{"from_index":2166,"to_index":2169,"interior_indices":[2167,2168],"interior_values":[679,739],"sum":1418,"residue":492},{"from_index":2169,"to_index":2175,"interior_indices":[2170,2171,2172,2173,2174],"interior_values":[305,797,176,47,223],"sum":1548,"residue":622},{"from_index":2175,"to_index":2178,"interior_indices":[2176,2177],"interior_values":[493,763],"sum":1256,"residue":330},{"from_index":2178,"to_index":2187,"interior_indices":[2179,2180,2181,2182,2183,2184,2185,2186],"interior_values":[167,497,664,235,899,208,181,389],"sum":3240,"residue":462},{"from_index":2187,"to_index":2188,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2188,"to_index":2189,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2189,"to_index":2190,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2190,"to_index":2193,"interior_indices":[2191,2192],"interior_values":[313,23],"sum":336,"residue":336},{"from_index":2193,"to_index":2200,"interior_indices":[2194,2195,2196,2197,2198,2199],"interior_values":[359,695,128,823,25,848],"sum":2878,"residue":100},{"from_index":2200,"to_index":2201,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2201,"to_index":2207,"interior_indices":[2202,2203,2204,2205,2206],"interior_values":[742,611,427,112,539],"sum":2431,"residue":579},{"from_index":2207,"to_index":2208,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2208,"to_index":2209,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2209,"to_index":2212,"interior_indices":[2210,2211],"interior_values":[253,242],"sum":495,"residue":495},{"from_index":2212,"to_index":2214,"interior_indices":[2213],"interior_values":[737],"sum":737,"residue":737},{"from_index":2214,"to_index":2215,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2215,"to_index":2216,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2216,"to_index":2217,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2217,"to_index":2222,"interior_indices":[2218,2219,2220,2221],"interior_values":[37,577,614,265],"sum":1493,"residue":567},{"from_index":2222,"to_index":2224,"interior_indices":[2223],"interior_values":[218],"sum":218,"residue":218},{"from_index":2224,"to_index":2229,"interior_indices":[2225,2226,2227,2228],"interior_values":[389,560,23,583],"sum":1555,"residue":629},{"from_index":2229,"to_index":2235,"interior_indices":[2230,2231,2232,2233,2234],"interior_values":[263,869,206,149,355],"sum":1842,"residue":916},{"from_index":2235,"to_index":2239,"interior_indices":[2236,2237,2238],"interior_values":[859,437,370],"sum":1666,"residue":740},{"from_index":2239,"to_index":2241,"interior_indices":[2240],"interior_values":[251],"sum":251,"residue":251},{"from_index":2241,"to_index":2246,"interior_indices":[2242,2243,2244,2245],"interior_values":[383,515,898,487],"sum":2283,"residue":431},{"from_index":2246,"to_index":2252,"interior_indices":[2247,2248,2249,2250,2251],"interior_values":[20,479,499,52,551],"sum":1601,"residue":675},{"from_index":2252,"to_index":2253,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2253,"to_index":2254,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2254,"to_index":2257,"interior_indices":[2255,2256],"interior_values":[133,38],"sum":171,"residue":171},{"from_index":2257,"to_index":2263,"interior_indices":[2258,2259,2260,2261,2262],"interior_values":[209,380,589,43,632],"sum":1853,"residue":1},{"from_index":2263,"to_index":2264,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2264,"to_index":2269,"interior_indices":[2265,2266,2267,2268],"interior_values":[130,511,641,226],"sum":1508,"residue":582},{"from_index":2269,"to_index":2271,"interior_indices":[2270],"interior_values":[167],"sum":167,"residue":167},{"from_index":2271,"to_index":2277,"interior_indices":[2272,2273,2274,2275,2276],"interior_values":[275,383,658,115,773],"sum":2204,"residue":352},{"from_index":2277,"to_index":2278,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2278,"to_index":2282,"interior_indices":[2279,2280,2281],"interior_values":[697,506,277],"sum":1480,"residue":554},{"from_index":2282,"to_index":2288,"interior_indices":[2283,2284,2285,2286,2287],"interior_values":[134,917,125,116,241],"sum":1533,"residue":607},{"from_index":2288,"to_index":2291,"interior_indices":[2289,2290],"interior_values":[598,29],"sum":627,"residue":627},{"from_index":2291,"to_index":2293,"interior_indices":[2292],"interior_values":[656],"sum":656,"residue":656},{"from_index":2293,"to_index":2294,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2294,"to_index":2295,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2295,"to_index":2296,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2296,"to_index":2301,"interior_indices":[2297,2298,2299,2300],"interior_values":[49,580,629,283],"sum":1541,"residue":615},{"from_index":2301,"to_index":2303,"interior_indices":[2302],"interior_values":[269],"sum":269,"residue":269},{"from_index":2303,"to_index":2309,"interior_indices":[2304,2305,2306,2307,2308],"interior_values":[524,779,377,230,607],"sum":2517,"residue":665},{"from_index":2309,"to_index":2311,"interior_indices":[2310],"interior_values":[518],"sum":518,"residue":518},{"from_index":2311,"to_index":2312,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2312,"to_index":2313,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2313,"to_index":2314,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2314,"to_index":2315,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2315,"to_index":2319,"interior_indices":[2316,2317,2318],"interior_values":[466,461,1],"sum":928,"residue":2},{"from_index":2319,"to_index":2322,"interior_indices":[2320,2321],"interior_values":[463,925],"sum":1388,"residue":462},{"from_index":2322,"to_index":2329,"interior_indices":[2323,2324,2325,2326,2327,2328],"interior_values":[461,923,458,455,913,442],"sum":3652,"residue":874},{"from_index":2329,"to_index":2333,"interior_indices":[2330,2331,2332],"interior_values":[871,374,319],"sum":1564,"residue":638},{"from_index":2333,"to_index":2338,"interior_indices":[2334,2335,2336,2337],"interior_values":[86,779,865,718],"sum":2448,"residue":596},{"from_index":2338,"to_index":2340,"interior_indices":[2339],"interior_values":[449],"sum":449,"residue":449},{"from_index":2340,"to_index":2347,"interior_indices":[2341,2342,2343,2344,2345,2346],"interior_values":[629,809,512,395,907,376],"sum":3628,"residue":850},{"from_index":2347,"to_index":2350,"interior_indices":[2348,2349],"interior_values":[733,164],"sum":897,"residue":897},{"from_index":2350,"to_index":2351,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2351,"to_index":2355,"interior_indices":[2352,2353,2354],"interior_values":[106,241,347],"sum":694,"residue":694},{"from_index":2355,"to_index":2356,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2356,"to_index":2357,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2357,"to_index":2358,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2358,"to_index":2361,"interior_indices":[2359,2360],"interior_values":[277,883],"sum":1160,"residue":234},{"from_index":2361,"to_index":2367,"interior_indices":[2362,2363,2364,2365,2366],"interior_values":[191,425,616,115,731],"sum":2078,"residue":226},{"from_index":2367,"to_index":2368,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2368,"to_index":2371,"interior_indices":[2369,2370],"interior_values":[571,296],"sum":867,"residue":867},{"from_index":2371,"to_index":2372,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2372,"to_index":2377,"interior_indices":[2373,2374,2375,2376],"interior_values":[178,415,593,82],"sum":1268,"residue":342},{"from_index":2377,"to_index":2381,"interior_indices":[2378,2379,2380],"interior_values":[757,506,337],"sum":1600,"residue":674},{"from_index":2381,"to_index":2383,"interior_indices":[2382],"interior_values":[254],"sum":254,"residue":254},{"from_index":2383,"to_index":2388,"interior_indices":[2384,2385,2386,2387],"interior_values":[425,596,95,691],"sum":1807,"residue":881},{"from_index":2388,"to_index":2390,"interior_indices":[2389],"interior_values":[551],"sum":551,"residue":551},{"from_index":2390,"to_index":2391,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2391,"to_index":2392,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2392,"to_index":2393,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2393,"to_index":2398,"interior_indices":[2394,2395,2396,2397],"interior_values":[4,487,491,52],"sum":1034,"residue":108},{"from_index":2398,"to_index":2401,"interior_indices":[2399,2400],"interior_values":[595,212],"sum":807,"residue":807},{"from_index":2401,"to_index":2402,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2402,"to_index":2403,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2403,"to_index":2406,"interior_indices":[2404,2405],"interior_values":[67,41],"sum":108,"residue":108},{"from_index":2406,"to_index":2410,"interior_indices":[2407,2408,2409],"interior_values":[149,257,406],"sum":812,"residue":812},{"from_index":2410,"to_index":2415,"interior_indices":[2411,2412,2413,2414],"interior_values":[143,806,23,829],"sum":1801,"residue":875},{"from_index":2415,"to_index":2417,"interior_indices":[2416],"interior_values":[755],"sum":755,"residue":755},{"from_index":2417,"to_index":2418,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2418,"to_index":2421,"interior_indices":[2419,2420],"interior_values":[265,775],"sum":1040,"residue":114},{"from_index":2421,"to_index":2425,"interior_indices":[2422,2423,2424],"interior_values":[889,77,40],"sum":1006,"residue":80},{"from_index":2425,"to_index":2429,"interior_indices":[2426,2427,2428],"interior_values":[157,274,431],"sum":862,"residue":862},{"from_index":2429,"to_index":2430,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2430,"to_index":2431,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2431,"to_index":2434,"interior_indices":[2432,2433],"interior_values":[199,188],"sum":387,"residue":387},{"from_index":2434,"to_index":2436,"interior_indices":[2435],"interior_values":[575],"sum":575,"residue":575},{"from_index":2436,"to_index":2442,"interior_indices":[2437,2438,2439,2440,2441],"interior_values":[611,647,332,53,385],"sum":2028,"residue":176},{"from_index":2442,"to_index":2446,"interior_indices":[2443,2444,2445],"interior_values":[823,335,232],"sum":1390,"residue":464},{"from_index":2446,"to_index":2450,"interior_indices":[2447,2448,2449],"interior_values":[799,440,313],"sum":1552,"residue":626},{"from_index":2450,"to_index":2456,"interior_indices":[2451,2452,2453,2454,2455],"interior_values":[140,893,107,74,181],"sum":1395,"residue":469},{"from_index":2456,"to_index":2459,"interior_indices":[2457,2458],"interior_values":[436,691],"sum":1127,"residue":201},{"from_index":2459,"to_index":2463,"interior_indices":[2460,2461,2462],"interior_values":[892,167,133],"sum":1192,"residue":266},{"from_index":2463,"to_index":2466,"interior_indices":[2464,2465],"interior_values":[433,733],"sum":1166,"residue":240},{"from_index":2466,"to_index":2470,"interior_indices":[2467,2468,2469],"interior_values":[47,287,334],"sum":668,"residue":668},{"from_index":2470,"to_index":2475,"interior_indices":[2471,2472,2473,2474],"interior_values":[29,650,679,403],"sum":1761,"residue":835},{"from_index":2475,"to_index":2478,"interior_indices":[2476,2477],"interior_values":[559,715],"sum":1274,"residue":348},{"from_index":2478,"to_index":2485,"interior_indices":[2479,2480,2481,2482,2483,2484],"interior_values":[137,485,622,181,803,58],"sum":2286,"residue":434},{"from_index":2485,"to_index":2490,"interior_indices":[2486,2487,2488,2489],"interior_values":[919,854,847,775],"sum":3395,"residue":617},{"from_index":2490,"to_index":2492,"interior_indices":[2491],"interior_values":[545],"sum":545,"residue":545},{"from_index":2492,"to_index":2494,"interior_indices":[2493],"interior_values":[860],"sum":860,"residue":860},{"from_index":2494,"to_index":2495,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2495,"to_index":2496,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2496,"to_index":2497,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2497,"to_index":2503,"interior_indices":[2498,2499,2500,2501,2502],"interior_values":[121,736,857,667,598],"sum":2979,"residue":201},{"from_index":2503,"to_index":2507,"interior_indices":[2504,2505,2506],"interior_values":[11,350,361],"sum":722,"residue":722},{"from_index":2507,"to_index":2513,"interior_indices":[2508,2509,2510,2511,2512],"interior_values":[146,857,77,8,85],"sum":1173,"residue":247},{"from_index":2513,"to_index":2517,"interior_indices":[2514,2515,2516],"interior_values":[178,271,449],"sum":898,"residue":898},{"from_index":2517,"to_index":2518,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2518,"to_index":2522,"interior_indices":[2519,2520,2521],"interior_values":[37,280,317],"sum":634,"residue":634},{"from_index":2522,"to_index":2524,"interior_indices":[2523],"interior_values":[914],"sum":914,"residue":914},{"from_index":2524,"to_index":2525,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2525,"to_index":2528,"interior_indices":[2526,2527],"interior_values":[232,805],"sum":1037,"residue":111},{"from_index":2528,"to_index":2532,"interior_indices":[2529,2530,2531],"interior_values":[916,101,91],"sum":1108,"residue":182},{"from_index":2532,"to_index":2539,"interior_indices":[2533,2534,2535,2536,2537,2538],"interior_values":[283,475,758,307,139,446],"sum":2408,"residue":556},{"from_index":2539,"to_index":2540,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2540,"to_index":2541,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2541,"to_index":2542,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2542,"to_index":2546,"interior_indices":[2543,2544,2545],"interior_values":[559,428,61],"sum":1048,"residue":122},{"from_index":2546,"to_index":2549,"interior_indices":[2547,2548],"interior_values":[550,113],"sum":663,"residue":663},{"from_index":2549,"to_index":2551,"interior_indices":[2550],"interior_values":[776],"sum":776,"residue":776},{"from_index":2551,"to_index":2552,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2552,"to_index":2553,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2553,"to_index":2556,"interior_indices":[2554,2555],"interior_values":[313,263],"sum":576,"residue":576},{"from_index":2556,"to_index":2558,"interior_indices":[2557],"interior_values":[839],"sum":839,"residue":839},{"from_index":2558,"to_index":2559,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2559,"to_index":2560,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2560,"to_index":2563,"interior_indices":[2561,2562],"interior_values":[367,332],"sum":699,"residue":699},{"from_index":2563,"to_index":2564,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2564,"to_index":2565,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2565,"to_index":2566,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2566,"to_index":2571,"interior_indices":[2567,2568,2569,2570],"interior_values":[787,770,631,475],"sum":2663,"residue":811},{"from_index":2571,"to_index":2574,"interior_indices":[2572,2573],"interior_values":[655,835],"sum":1490,"residue":564},{"from_index":2574,"to_index":2576,"interior_indices":[2575],"interior_values":[473],"sum":473,"residue":473},{"from_index":2576,"to_index":2582,"interior_indices":[2577,2578,2579,2580,2581],"interior_values":[584,695,353,122,475],"sum":2229,"residue":377},{"from_index":2582,"to_index":2587,"interior_indices":[2583,2584,2585,2586],"interior_values":[146,743,889,706],"sum":2484,"residue":632},{"from_index":2587,"to_index":2589,"interior_indices":[2588],"interior_values":[449],"sum":449,"residue":449},{"from_index":2589,"to_index":2596,"interior_indices":[2590,2591,2592,2593,2594,2595],"interior_values":[641,833,548,455,77,532],"sum":3086,"residue":308},{"from_index":2596,"to_index":2602,"interior_indices":[2597,2598,2599,2600,2601],"interior_values":[215,824,113,11,124],"sum":1287,"residue":361},{"from_index":2602,"to_index":2607,"interior_indices":[2603,2604,2605,2606],"interior_values":[259,394,653,121],"sum":1427,"residue":501},{"from_index":2607,"to_index":2612,"interior_indices":[2608,2609,2610,2611],"interior_values":[895,743,712,529],"sum":2879,"residue":101},{"from_index":2612,"to_index":2616,"interior_indices":[2613,2614,2615],"interior_values":[844,233,151],"sum":1228,"residue":302},{"from_index":2616,"to_index":2619,"interior_indices":[2617,2618],"interior_values":[535,919],"sum":1454,"residue":528},{"from_index":2619,"to_index":2621,"interior_indices":[2620],"interior_values":[521],"sum":521,"residue":521},{"from_index":2621,"to_index":2628,"interior_indices":[2622,2623,2624,2625,2626,2627],"interior_values":[644,767,485,326,811,211],"sum":3244,"residue":466},{"from_index":2628,"to_index":2633,"interior_indices":[2629,2630,2631,2632],"interior_values":[307,403,710,187],"sum":1607,"residue":681},{"from_index":2633,"to_index":2635,"interior_indices":[2634],"interior_values":[158],"sum":158,"residue":158},{"from_index":2635,"to_index":2644,"interior_indices":[2636,2637,2638,2639,2640,2641,2642,2643],"interior_values":[287,416,703,193,896,163,133,296],"sum":3087,"residue":309},{"from_index":2644,"to_index":2646,"interior_indices":[2645],"interior_values":[725],"sum":725,"residue":725},{"from_index":2646,"to_index":2647,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2647,"to_index":2648,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2648,"to_index":2649,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2649,"to_index":2650,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2650,"to_index":2651,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2651,"to_index":2654,"interior_indices":[2652,2653],"interior_values":[430,323],"sum":753,"residue":753},{"from_index":2654,"to_index":2655,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2655,"to_index":2656,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2656,"to_index":2659,"interior_indices":[2657,2658],"interior_values":[127,104],"sum":231,"residue":231},{"from_index":2659,"to_index":2664,"interior_indices":[2660,2661,2662,2663],"interior_values":[335,566,901,541],"sum":2343,"residue":491},{"from_index":2664,"to_index":2669,"interior_indices":[2665,2666,2667,2668],"interior_values":[131,647,778,499],"sum":2055,"residue":203},{"from_index":2669,"to_index":2673,"interior_indices":[2670,2671,2672],"interior_values":[850,275,199],"sum":1324,"residue":398},{"from_index":2673,"to_index":2676,"interior_indices":[2674,2675],"interior_values":[673,221],"sum":894,"residue":894},{"from_index":2676,"to_index":2677,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2677,"to_index":2681,"interior_indices":[2678,2679,2680],"interior_values":[157,346,503],"sum":1006,"residue":80},{"from_index":2681,"to_index":2682,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2682,"to_index":2685,"interior_indices":[2683,2684],"interior_values":[349,775],"sum":1124,"residue":198},{"from_index":2685,"to_index":2689,"interior_indices":[2686,2687,2688],"interior_values":[47,245,292],"sum":584,"residue":584},{"from_index":2689,"to_index":2693,"interior_indices":[2690,2691,2692],"interior_values":[829,440,343],"sum":1612,"residue":686},{"from_index":2693,"to_index":2695,"interior_indices":[2694],"interior_values":[200],"sum":200,"residue":200},{"from_index":2695,"to_index":2699,"interior_indices":[2696,2697,2698],"interior_values":[257,314,571],"sum":1142,"residue":216},{"from_index":2699,"to_index":2701,"interior_indices":[2700],"interior_values":[530],"sum":530,"residue":530},{"from_index":2701,"to_index":2702,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2702,"to_index":2703,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2703,"to_index":2704,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2704,"to_index":2707,"interior_indices":[2705,2706],"interior_values":[331,80],"sum":411,"residue":411},{"from_index":2707,"to_index":2714,"interior_indices":[2708,2709,2710,2711,2712,2713],"interior_values":[491,902,467,443,910,427],"sum":3640,"residue":862},{"from_index":2714,"to_index":2718,"interior_indices":[2715,2716,2717],"interior_values":[838,323,235],"sum":1396,"residue":470},{"from_index":2718,"to_index":2722,"interior_indices":[2719,2720,2721],"interior_values":[793,425,292],"sum":1510,"residue":584},{"from_index":2722,"to_index":2727,"interior_indices":[2723,2724,2725,2726],"interior_values":[83,800,883,757],"sum":2523,"residue":671},{"from_index":2727,"to_index":2729,"interior_indices":[2728],"interior_values":[545],"sum":545,"residue":545},{"from_index":2729,"to_index":2731,"interior_indices":[2730],"interior_values":[878],"sum":878,"residue":878},{"from_index":2731,"to_index":2732,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2732,"to_index":2733,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2733,"to_index":2734,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2734,"to_index":2737,"interior_indices":[2735,2736],"interior_values":[355,188],"sum":543,"residue":543},{"from_index":2737,"to_index":2739,"interior_indices":[2738],"interior_values":[731],"sum":731,"residue":731},{"from_index":2739,"to_index":2740,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2740,"to_index":2741,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2741,"to_index":2742,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2742,"to_index":2745,"interior_indices":[2743,2744],"interior_values":[229,883],"sum":1112,"residue":186},{"from_index":2745,"to_index":2749,"interior_indices":[2746,2747,2748],"interior_values":[143,329,472],"sum":944,"residue":18},{"from_index":2749,"to_index":2751,"interior_indices":[2750],"interior_values":[347],"sum":347,"residue":347},{"from_index":2751,"to_index":2760,"interior_indices":[2752,2753,2754,2755,2756,2757,2758,2759],"interior_values":[569,791,434,299,733,106,839,19],"sum":3790,"residue":86},{"from_index":2760,"to_index":2765,"interior_indices":[2761,2762,2763,2764],"interior_values":[877,809,760,643],"sum":3089,"residue":311},{"from_index":2765,"to_index":2770,"interior_indices":[2766,2767,2768,2769],"interior_values":[194,671,865,610],"sum":2340,"residue":488},{"from_index":2770,"to_index":2778,"interior_indices":[2771,2772,2773,2774,2775,2776,2777],"interior_values":[233,782,89,871,34,905,13],"sum":2927,"residue":149},{"from_index":2778,"to_index":0,"interior_indices":[2779,2780,2781,2782,2783],"interior_values":[5,923,2,925,1],"sum":1856,"residue":4}],"minimal_cycle":[4,26,178,100,0,117,38,598,791,0,0,0,783,0,544,773,0,0,0,522,689,0,0,0,0,126,584,470,387,902,0,0,582,833,0,0,669,0,0,0,194,879,0,74,0,189,506,152,279,747,0,0,150,66,389,671,394,832,0,0,0,57,767,0,0,0,309,194,386,113,138,455,833,0,0,0,183,24,353,562,156,804,821,0,402,650,563,0,0,0,122,690,821,0,297,452,489,0,93,849,857,0,915,0,69,615,494,8,260,871,276,668,107,68,597,107,626,464,770,332,752,716,0,117,74,832,0,0,120,812,15,833,0,104,483,479,45,596,0,0,0,338,37,0,846,0,850,0,640,917,0,135,386,531,512,873,0,110,471,458,461,920,455,905,0,0,549,779,0,0,0,210,839,0,0,0,482,125,554,888,0,766,0,0,0,579,0,760,0,0,228,395,591,0,0,0,134,720,869,0,366,748,540,503,851,662,0,480,773,695,0,0,603,893,0,375,107,750,797,0,132,44,116,0,312,101,615,584,857,0,0,0,0,609,857,0,627,257,293,332,667,278,0,795,0,0,87,626,626,917,830,0,909,0,12,372,112,0,609,743,0,0,0,354,0,0,0,474,587,598,381,377,290,381,0,0,0,699,0,27,537,623,590,0,0,78,368,387,695,431,778,708,755,0,0,663,0,0,0,134,675,794,0,8,0,375,57,755,0,294,155,759,818,0,153,458,792,0,0,0,656,299,730,657,671,0,0,0,408,20,465,0,0,0,123,840,0,538,746,0,0,0,405,473,510,0,195,710,155,338,672,755,0,0,375,910,662,911,818,0,783,0,0,171,470,338,749,539,890,0,0,0,206,254,786,0,0,0,122,13,0,897,0,844,0,123,14,460,611,442,248,0,780,0,0,0,299,572,329,482,811,480,44,752,263,713,350,629,400,364,815,0,0,0,780,0,514,734,0,0,0,0,711,0,0,0,14,62,378,261,803,0,0,0,24,768,797,0,30,630,497,200,845,695,0,820,0,300,506,266,181,0,194,726,869,0,396,608,515,0,0,0,192,266,843,0,424,593,620,383,750,0,579,704,0,0,0,87,98,898,0,754,0,0,21,921,0,0,0,924,923,0,803,782,0,255,458,521,434,365,611,425,599,404,765,0,266,176,483,467,755,344,653,886,584,275,202,0,398,867,0,360,81,776,0,537,644,899,0,0,0,450,532,96,600,485,898,164,183,242,135,813,824,0,471,548,789,0,573,695,0,0,0,393,122,192,524,0,0,0,363,89,734,236,29,192,20,706,0,0,0,243,554,77,722,156,743,0,0,0,0,72,116,44,0,62,0,879,0,459,20,819,893,0,254,206,594,647,0,0,0,0,210,458,359,51,806,0,777,0,0,93,662,399,890,0,0,330,2,164,237,710,386,563,329,415,0,240,809,0,0,0,147,638,426,923,0,3,471,476,785,377,835,531,482,29,801,917,0,458,428,619,381,503,869,698,0,32,0,411,65,710,206,240,560,0,0,0,195,809,0,0,0,264,203,873,0,256,659,323,772,68,0,609,176,799,537,224,837,0,124,653,452,317,200,669,683,0,0,0,816,0,20,0,300,716,9,839,0,200,813,0,0,96,716,777,0,231,902,317,799,471,521,452,791,0,0,0,0,592,0,14,0,159,230,60,492,622,330,462,0,0,0,336,100,0,579,0,0,495,737,0,0,0,567,218,629,916,740,251,431,675,0,0,171,1,0,582,167,352,0,554,607,627,656,0,0,0,615,269,665,518,0,0,0,0,2,462,874,638,596,449,850,897,0,694,0,0,0,234,226,0,867,0,342,674,254,881,551,0,0,0,108,807,0,0,108,812,875,755,0,114,80,862,0,0,387,575,176,464,626,469,201,266,240,668,835,348,434,617,545,860,0,0,0,201,722,247,898,0,634,914,0,111,182,556,0,0,0,122,663,776,0,0,576,839,0,0,699,0,0,0,811,564,473,377,632,449,308,361,501,101,302,528,521,466,681,158,309,725,0,0,0,0,0,753,0,0,231,491,203,398,894,0,80,0,198,584,686,200,216,530,0,0,0,411,862,470,584,671,545,878,0,0,0,543,731,0,0,0,186,18,347,86,311,488,149,4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[2784,4],"start_interval_values":[1,1,2],"circle_positions":926,"cycle_length":938,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon":null,"epsilon_routes":[],"epsilon_status":"Null: no tested regular six-node reference traversal contains only 3, 6 and 9 with all three present.","geometry_summary":{"rule_version":"native-pilot-v1","scope":"Shapes in the primary Gamma node set (native residues divisible by 3, including zero). All regular polygons on the period circle are catalogued separately with their native values; their existence alone is a property of the plotting grid.","circle_role":"Pisano-period plotting framework","shapes":[{"name":"Equilateral triangle","status":"Absent","count":0,"orientation":null,"rotation_degrees":null,"rotations_degrees":[],"alpha_paths":[]},{"name":"Hexagon","status":"Absent","count":0,"orientation":null,"rotation_degrees":null,"rotations_degrees":[],"alpha_paths":[]},{"name":"2D stellated octahedron","status":"Absent","count":0,"orientation":null,"rotation_degrees":null,"rotations_degrees":[],"alpha_paths":[]},{"name":"Chevron","status":"Absent","count":0,"orientation":null,"rotation_degrees":null,"rotations_degrees":[],"alpha_paths":[]},{"name":"Unicursal hexagram","status":"Absent","count":0,"orientation":null,"rotation_degrees":null,"rotations_degrees":[],"alpha_paths":[]}],"other_orientations_status":"Absent","epsilon_rule":"A regular six-node formation must support the reference unicursal route through only 3, 6 and 9, containing all three. Rotations and reflections of the route are tested; reversed or cyclically shifted traversals are deduplicated."},"formation_catalogue":[{"id":"3-nodes-offset-0","shape":"Equilateral triangle","alpha_indices":[0,928,1856],"clock_positions":[2784,928,1856],"native_values":[926,463,463],"rotation_degrees":0.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[926,463,463],"beta":{"interval_sums":[435220,433368,418552],"interval_residues":[0,0,0],"display_cycle":[926,926,926],"intervals":[{"from_index":0,"to_index":928,"sum":435220,"residue":0},{"from_index":928,"to_index":1856,"sum":433368,"residue":0},{"from_index":1856,"to_index":0,"sum":418552,"residue":0}],"minimal_cycle":[0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":926,"start_interval_clock_positions":[2784,928],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-1","shape":"Equilateral triangle","alpha_indices":[1,929,1857],"clock_positions":[1,929,1857],"native_values":[1,1,464],"rotation_degrees":0.12931034482758622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,1,464],"beta":{"interval_sums":[435682,433830,418088],"interval_residues":[462,462,462],"display_cycle":[462,462,462],"intervals":[{"from_index":1,"to_index":929,"sum":435682,"residue":462},{"from_index":929,"to_index":1857,"sum":433830,"residue":462},{"from_index":1857,"to_index":1,"sum":418088,"residue":462}],"minimal_cycle":[462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":462,"start_interval_clock_positions":[1,929],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-2","shape":"Equilateral triangle","alpha_indices":[2,930,1858],"clock_positions":[2,930,1858],"native_values":[1,464,1],"rotation_degrees":0.25862068965517243,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,464,1],"beta":{"interval_sums":[435682,433830,418088],"interval_residues":[462,462,462],"display_cycle":[462,462,462],"intervals":[{"from_index":2,"to_index":930,"sum":435682,"residue":462},{"from_index":930,"to_index":1858,"sum":433830,"residue":462},{"from_index":1858,"to_index":2,"sum":418088,"residue":462}],"minimal_cycle":[462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":462,"start_interval_clock_positions":[2,930],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-3","shape":"Equilateral triangle","alpha_indices":[3,931,1859],"clock_positions":[3,931,1859],"native_values":[2,465,465],"rotation_degrees":0.3879310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,465,465],"beta":{"interval_sums":[436144,433366,417624],"interval_residues":[924,924,924],"display_cycle":[924,924,924],"intervals":[{"from_index":3,"to_index":931,"sum":436144,"residue":924},{"from_index":931,"to_index":1859,"sum":433366,"residue":924},{"from_index":1859,"to_index":3,"sum":417624,"residue":924}],"minimal_cycle":[924],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":924,"start_interval_clock_positions":[3,931],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-4","shape":"Equilateral triangle","alpha_indices":[4,932,1860],"clock_positions":[4,932,1860],"native_values":[3,3,466],"rotation_degrees":0.5172413793103449,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,3,466],"beta":{"interval_sums":[436606,433828,417160],"interval_residues":[460,460,460],"display_cycle":[460,460,460],"intervals":[{"from_index":4,"to_index":932,"sum":436606,"residue":460},{"from_index":932,"to_index":1860,"sum":433828,"residue":460},{"from_index":1860,"to_index":4,"sum":417160,"residue":460}],"minimal_cycle":[460],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":460,"start_interval_clock_positions":[4,932],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-5","shape":"Equilateral triangle","alpha_indices":[5,933,1861],"clock_positions":[5,933,1861],"native_values":[5,468,5],"rotation_degrees":0.646551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,468,5],"beta":{"interval_sums":[436604,433826,417158],"interval_residues":[458,458,458],"display_cycle":[458,458,458],"intervals":[{"from_index":5,"to_index":933,"sum":436604,"residue":458},{"from_index":933,"to_index":1861,"sum":433826,"residue":458},{"from_index":1861,"to_index":5,"sum":417158,"residue":458}],"minimal_cycle":[458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":458,"start_interval_clock_positions":[5,933],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-6","shape":"Equilateral triangle","alpha_indices":[6,934,1862],"clock_positions":[6,934,1862],"native_values":[8,471,471],"rotation_degrees":0.7758620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,471,471],"beta":{"interval_sums":[437064,433360,416692],"interval_residues":[918,918,918],"display_cycle":[918,918,918],"intervals":[{"from_index":6,"to_index":934,"sum":437064,"residue":918},{"from_index":934,"to_index":1862,"sum":433360,"residue":918},{"from_index":1862,"to_index":6,"sum":416692,"residue":918}],"minimal_cycle":[918],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":918,"start_interval_clock_positions":[6,934],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-7","shape":"Equilateral triangle","alpha_indices":[7,935,1863],"clock_positions":[7,935,1863],"native_values":[13,13,476],"rotation_degrees":0.9051724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,13,476],"beta":{"interval_sums":[437522,433818,416224],"interval_residues":[450,450,450],"display_cycle":[450,450,450],"intervals":[{"from_index":7,"to_index":935,"sum":437522,"residue":450},{"from_index":935,"to_index":1863,"sum":433818,"residue":450},{"from_index":1863,"to_index":7,"sum":416224,"residue":450}],"minimal_cycle":[450],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":450,"start_interval_clock_positions":[7,935],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-8","shape":"Equilateral triangle","alpha_indices":[8,936,1864],"clock_positions":[8,936,1864],"native_values":[21,484,21],"rotation_degrees":1.0344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,484,21],"beta":{"interval_sums":[437514,433810,416216],"interval_residues":[442,442,442],"display_cycle":[442,442,442],"intervals":[{"from_index":8,"to_index":936,"sum":437514,"residue":442},{"from_index":936,"to_index":1864,"sum":433810,"residue":442},{"from_index":1864,"to_index":8,"sum":416216,"residue":442}],"minimal_cycle":[442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[8,936],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-9","shape":"Equilateral triangle","alpha_indices":[9,937,1865],"clock_positions":[9,937,1865],"native_values":[34,497,497],"rotation_degrees":1.1637931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,497,497],"beta":{"interval_sums":[437964,433334,415740],"interval_residues":[892,892,892],"display_cycle":[892,892,892],"intervals":[{"from_index":9,"to_index":937,"sum":437964,"residue":892},{"from_index":937,"to_index":1865,"sum":433334,"residue":892},{"from_index":1865,"to_index":9,"sum":415740,"residue":892}],"minimal_cycle":[892],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":892,"start_interval_clock_positions":[9,937],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-10","shape":"Equilateral triangle","alpha_indices":[10,938,1866],"clock_positions":[10,938,1866],"native_values":[55,55,518],"rotation_degrees":1.293103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,55,518],"beta":{"interval_sums":[438406,433776,415256],"interval_residues":[408,408,408],"display_cycle":[408,408,408],"intervals":[{"from_index":10,"to_index":938,"sum":438406,"residue":408},{"from_index":938,"to_index":1866,"sum":433776,"residue":408},{"from_index":1866,"to_index":10,"sum":415256,"residue":408}],"minimal_cycle":[408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[10,938],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-11","shape":"Equilateral triangle","alpha_indices":[11,939,1867],"clock_positions":[11,939,1867],"native_values":[89,552,89],"rotation_degrees":1.4224137931034482,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,552,89],"beta":{"interval_sums":[438372,433742,415222],"interval_residues":[374,374,374],"display_cycle":[374,374,374],"intervals":[{"from_index":11,"to_index":939,"sum":438372,"residue":374},{"from_index":939,"to_index":1867,"sum":433742,"residue":374},{"from_index":1867,"to_index":11,"sum":415222,"residue":374}],"minimal_cycle":[374],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":374,"start_interval_clock_positions":[11,939],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-12","shape":"Equilateral triangle","alpha_indices":[12,940,1868],"clock_positions":[12,940,1868],"native_values":[144,607,607],"rotation_degrees":1.5517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,607,607],"beta":{"interval_sums":[438780,433224,414704],"interval_residues":[782,782,782],"display_cycle":[782,782,782],"intervals":[{"from_index":12,"to_index":940,"sum":438780,"residue":782},{"from_index":940,"to_index":1868,"sum":433224,"residue":782},{"from_index":1868,"to_index":12,"sum":414704,"residue":782}],"minimal_cycle":[782],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":782,"start_interval_clock_positions":[12,940],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-13","shape":"Equilateral triangle","alpha_indices":[13,941,1869],"clock_positions":[13,941,1869],"native_values":[233,233,696],"rotation_degrees":1.6810344827586208,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,233,696],"beta":{"interval_sums":[439154,433598,414152],"interval_residues":[230,230,230],"display_cycle":[230,230,230],"intervals":[{"from_index":13,"to_index":941,"sum":439154,"residue":230},{"from_index":941,"to_index":1869,"sum":433598,"residue":230},{"from_index":1869,"to_index":13,"sum":414152,"residue":230}],"minimal_cycle":[230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[13,941],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-14","shape":"Equilateral triangle","alpha_indices":[14,942,1870],"clock_positions":[14,942,1870],"native_values":[377,840,377],"rotation_degrees":1.8103448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,840,377],"beta":{"interval_sums":[439010,433454,414008],"interval_residues":[86,86,86],"display_cycle":[86,86,86],"intervals":[{"from_index":14,"to_index":942,"sum":439010,"residue":86},{"from_index":942,"to_index":1870,"sum":433454,"residue":86},{"from_index":1870,"to_index":14,"sum":414008,"residue":86}],"minimal_cycle":[86],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":86,"start_interval_clock_positions":[14,942],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-15","shape":"Equilateral triangle","alpha_indices":[15,943,1871],"clock_positions":[15,943,1871],"native_values":[610,147,147],"rotation_degrees":1.9396551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,147,147],"beta":{"interval_sums":[439240,433684,414238],"interval_residues":[316,316,316],"display_cycle":[316,316,316],"intervals":[{"from_index":15,"to_index":943,"sum":439240,"residue":316},{"from_index":943,"to_index":1871,"sum":433684,"residue":316},{"from_index":1871,"to_index":15,"sum":414238,"residue":316}],"minimal_cycle":[316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":316,"start_interval_clock_positions":[15,943],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-16","shape":"Equilateral triangle","alpha_indices":[16,944,1872],"clock_positions":[16,944,1872],"native_values":[61,61,524],"rotation_degrees":2.0689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,61,524],"beta":{"interval_sums":[439326,433770,414324],"interval_residues":[402,402,402],"display_cycle":[402,402,402],"intervals":[{"from_index":16,"to_index":944,"sum":439326,"residue":402},{"from_index":944,"to_index":1872,"sum":433770,"residue":402},{"from_index":1872,"to_index":16,"sum":414324,"residue":402}],"minimal_cycle":[402],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[16,944],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-17","shape":"Equilateral triangle","alpha_indices":[17,945,1873],"clock_positions":[17,945,1873],"native_values":[671,208,671],"rotation_degrees":2.1982758620689653,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,208,671],"beta":{"interval_sums":[438716,434086,413714],"interval_residues":[718,718,718],"display_cycle":[718,718,718],"intervals":[{"from_index":17,"to_index":945,"sum":438716,"residue":718},{"from_index":945,"to_index":1873,"sum":434086,"residue":718},{"from_index":1873,"to_index":17,"sum":413714,"residue":718}],"minimal_cycle":[718],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":718,"start_interval_clock_positions":[17,945],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-18","shape":"Equilateral triangle","alpha_indices":[18,946,1874],"clock_positions":[18,946,1874],"native_values":[732,269,269],"rotation_degrees":2.3275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[732,269,269],"beta":{"interval_sums":[438192,434488,414116],"interval_residues":[194,194,194],"display_cycle":[194,194,194],"intervals":[{"from_index":18,"to_index":946,"sum":438192,"residue":194},{"from_index":946,"to_index":1874,"sum":434488,"residue":194},{"from_index":1874,"to_index":18,"sum":414116,"residue":194}],"minimal_cycle":[194],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[18,946],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-19","shape":"Equilateral triangle","alpha_indices":[19,947,1875],"clock_positions":[19,947,1875],"native_values":[477,477,14],"rotation_degrees":2.456896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,477,14],"beta":{"interval_sums":[437984,434280,414834],"interval_residues":[912,912,912],"display_cycle":[912,912,912],"intervals":[{"from_index":19,"to_index":947,"sum":437984,"residue":912},{"from_index":947,"to_index":1875,"sum":434280,"residue":912},{"from_index":1875,"to_index":19,"sum":414834,"residue":912}],"minimal_cycle":[912],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":912,"start_interval_clock_positions":[19,947],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-20","shape":"Equilateral triangle","alpha_indices":[20,948,1876],"clock_positions":[20,948,1876],"native_values":[283,746,283],"rotation_degrees":2.586206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,746,283],"beta":{"interval_sums":[438178,433548,415028],"interval_residues":[180,180,180],"display_cycle":[180,180,180],"intervals":[{"from_index":20,"to_index":948,"sum":438178,"residue":180},{"from_index":948,"to_index":1876,"sum":433548,"residue":180},{"from_index":1876,"to_index":20,"sum":415028,"residue":180}],"minimal_cycle":[180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[20,948],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-21","shape":"Equilateral triangle","alpha_indices":[21,949,1877],"clock_positions":[21,949,1877],"native_values":[760,297,297],"rotation_degrees":2.7155172413793105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[760,297,297],"beta":{"interval_sums":[438164,433534,415014],"interval_residues":[166,166,166],"display_cycle":[166,166,166],"intervals":[{"from_index":21,"to_index":949,"sum":438164,"residue":166},{"from_index":949,"to_index":1877,"sum":433534,"residue":166},{"from_index":1877,"to_index":21,"sum":415014,"residue":166}],"minimal_cycle":[166],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":166,"start_interval_clock_positions":[21,949],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-22","shape":"Equilateral triangle","alpha_indices":[22,950,1878],"clock_positions":[22,950,1878],"native_values":[117,117,580],"rotation_degrees":2.8448275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,117,580],"beta":{"interval_sums":[438344,433714,415194],"interval_residues":[346,346,346],"display_cycle":[346,346,346],"intervals":[{"from_index":22,"to_index":950,"sum":438344,"residue":346},{"from_index":950,"to_index":1878,"sum":433714,"residue":346},{"from_index":1878,"to_index":22,"sum":415194,"residue":346}],"minimal_cycle":[346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[22,950],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-23","shape":"Equilateral triangle","alpha_indices":[23,951,1879],"clock_positions":[23,951,1879],"native_values":[877,414,877],"rotation_degrees":2.9741379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[877,414,877],"beta":{"interval_sums":[437584,433880,414434],"interval_residues":[512,512,512],"display_cycle":[512,512,512],"intervals":[{"from_index":23,"to_index":951,"sum":437584,"residue":512},{"from_index":951,"to_index":1879,"sum":433880,"residue":512},{"from_index":1879,"to_index":23,"sum":414434,"residue":512}],"minimal_cycle":[512],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":512,"start_interval_clock_positions":[23,951],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-24","shape":"Equilateral triangle","alpha_indices":[24,952,1880],"clock_positions":[24,952,1880],"native_values":[68,531,531],"rotation_degrees":3.103448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[68,531,531],"beta":{"interval_sums":[437930,434226,414780],"interval_residues":[858,858,858],"display_cycle":[858,858,858],"intervals":[{"from_index":24,"to_index":952,"sum":437930,"residue":858},{"from_index":952,"to_index":1880,"sum":434226,"residue":858},{"from_index":1880,"to_index":24,"sum":414780,"residue":858}],"minimal_cycle":[858],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":858,"start_interval_clock_positions":[24,952],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-25","shape":"Equilateral triangle","alpha_indices":[25,953,1881],"clock_positions":[25,953,1881],"native_values":[19,19,482],"rotation_degrees":3.2327586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[19,19,482],"beta":{"interval_sums":[438442,434738,414366],"interval_residues":[444,444,444],"display_cycle":[444,444,444],"intervals":[{"from_index":25,"to_index":953,"sum":438442,"residue":444},{"from_index":953,"to_index":1881,"sum":434738,"residue":444},{"from_index":1881,"to_index":25,"sum":414366,"residue":444}],"minimal_cycle":[444],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[25,953],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-26","shape":"Equilateral triangle","alpha_indices":[26,954,1882],"clock_positions":[26,954,1882],"native_values":[87,550,87],"rotation_degrees":3.3620689655172415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[87,550,87],"beta":{"interval_sums":[438374,434670,414298],"interval_residues":[376,376,376],"display_cycle":[376,376,376],"intervals":[{"from_index":26,"to_index":954,"sum":438374,"residue":376},{"from_index":954,"to_index":1882,"sum":434670,"residue":376},{"from_index":1882,"to_index":26,"sum":414298,"residue":376}],"minimal_cycle":[376],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":376,"start_interval_clock_positions":[26,954],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-27","shape":"Equilateral triangle","alpha_indices":[27,955,1883],"clock_positions":[27,955,1883],"native_values":[106,569,569],"rotation_degrees":3.4913793103448274,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[106,569,569],"beta":{"interval_sums":[438818,434188,413816],"interval_residues":[820,820,820],"display_cycle":[820,820,820],"intervals":[{"from_index":27,"to_index":955,"sum":438818,"residue":820},{"from_index":955,"to_index":1883,"sum":434188,"residue":820},{"from_index":1883,"to_index":27,"sum":413816,"residue":820}],"minimal_cycle":[820],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":820,"start_interval_clock_positions":[27,955],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-28","shape":"Equilateral triangle","alpha_indices":[28,956,1884],"clock_positions":[28,956,1884],"native_values":[193,193,656],"rotation_degrees":3.6206896551724137,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,193,656],"beta":{"interval_sums":[439194,434564,413266],"interval_residues":[270,270,270],"display_cycle":[270,270,270],"intervals":[{"from_index":28,"to_index":956,"sum":439194,"residue":270},{"from_index":956,"to_index":1884,"sum":434564,"residue":270},{"from_index":1884,"to_index":28,"sum":413266,"residue":270}],"minimal_cycle":[270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":270,"start_interval_clock_positions":[28,956],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-29","shape":"Equilateral triangle","alpha_indices":[29,957,1885],"clock_positions":[29,957,1885],"native_values":[299,762,299],"rotation_degrees":3.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,762,299],"beta":{"interval_sums":[439088,434458,413160],"interval_residues":[164,164,164],"display_cycle":[164,164,164],"intervals":[{"from_index":29,"to_index":957,"sum":439088,"residue":164},{"from_index":957,"to_index":1885,"sum":434458,"residue":164},{"from_index":1885,"to_index":29,"sum":413160,"residue":164}],"minimal_cycle":[164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[29,957],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-30","shape":"Equilateral triangle","alpha_indices":[30,958,1886],"clock_positions":[30,958,1886],"native_values":[492,29,29],"rotation_degrees":3.8793103448275863,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,29,29],"beta":{"interval_sums":[439358,434728,413430],"interval_residues":[434,434,434],"display_cycle":[434,434,434],"intervals":[{"from_index":30,"to_index":958,"sum":439358,"residue":434},{"from_index":958,"to_index":1886,"sum":434728,"residue":434},{"from_index":1886,"to_index":30,"sum":413430,"residue":434}],"minimal_cycle":[434],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[30,958],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-31","shape":"Equilateral triangle","alpha_indices":[31,959,1887],"clock_positions":[31,959,1887],"native_values":[791,791,328],"rotation_degrees":4.008620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[791,791,328],"beta":{"interval_sums":[438596,433966,413594],"interval_residues":[598,598,598],"display_cycle":[598,598,598],"intervals":[{"from_index":31,"to_index":959,"sum":438596,"residue":598},{"from_index":959,"to_index":1887,"sum":433966,"residue":598},{"from_index":1887,"to_index":31,"sum":413594,"residue":598}],"minimal_cycle":[598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":598,"start_interval_clock_positions":[31,959],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-32","shape":"Equilateral triangle","alpha_indices":[32,960,1888],"clock_positions":[32,960,1888],"native_values":[357,820,357],"rotation_degrees":4.137931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,820,357],"beta":{"interval_sums":[439030,433474,414028],"interval_residues":[106,106,106],"display_cycle":[106,106,106],"intervals":[{"from_index":32,"to_index":960,"sum":439030,"residue":106},{"from_index":960,"to_index":1888,"sum":433474,"residue":106},{"from_index":1888,"to_index":32,"sum":414028,"residue":106}],"minimal_cycle":[106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[32,960],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-33","shape":"Equilateral triangle","alpha_indices":[33,961,1889],"clock_positions":[33,961,1889],"native_values":[222,685,685],"rotation_degrees":4.267241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[222,685,685],"beta":{"interval_sums":[439628,433146,413700],"interval_residues":[704,704,704],"display_cycle":[704,704,704],"intervals":[{"from_index":33,"to_index":961,"sum":439628,"residue":704},{"from_index":961,"to_index":1889,"sum":433146,"residue":704},{"from_index":1889,"to_index":33,"sum":413700,"residue":704}],"minimal_cycle":[704],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":704,"start_interval_clock_positions":[33,961],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-34","shape":"Equilateral triangle","alpha_indices":[34,962,1890],"clock_positions":[34,962,1890],"native_values":[579,579,116],"rotation_degrees":4.396551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[579,579,116],"beta":{"interval_sums":[439734,433252,413806],"interval_residues":[810,810,810],"display_cycle":[810,810,810],"intervals":[{"from_index":34,"to_index":962,"sum":439734,"residue":810},{"from_index":962,"to_index":1890,"sum":433252,"residue":810},{"from_index":1890,"to_index":34,"sum":413806,"residue":810}],"minimal_cycle":[810],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":810,"start_interval_clock_positions":[34,962],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-35","shape":"Equilateral triangle","alpha_indices":[35,963,1891],"clock_positions":[35,963,1891],"native_values":[801,338,801],"rotation_degrees":4.525862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[801,338,801],"beta":{"interval_sums":[439512,433030,413584],"interval_residues":[588,588,588],"display_cycle":[588,588,588],"intervals":[{"from_index":35,"to_index":963,"sum":439512,"residue":588},{"from_index":963,"to_index":1891,"sum":433030,"residue":588},{"from_index":1891,"to_index":35,"sum":413584,"residue":588}],"minimal_cycle":[588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[35,963],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-36","shape":"Equilateral triangle","alpha_indices":[36,964,1892],"clock_positions":[36,964,1892],"native_values":[454,917,917],"rotation_degrees":4.655172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[454,917,917],"beta":{"interval_sums":[439396,432914,413468],"interval_residues":[472,472,472],"display_cycle":[472,472,472],"intervals":[{"from_index":36,"to_index":964,"sum":439396,"residue":472},{"from_index":964,"to_index":1892,"sum":432914,"residue":472},{"from_index":1892,"to_index":36,"sum":413468,"residue":472}],"minimal_cycle":[472],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":472,"start_interval_clock_positions":[36,964],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-37","shape":"Equilateral triangle","alpha_indices":[37,965,1893],"clock_positions":[37,965,1893],"native_values":[329,329,792],"rotation_degrees":4.7844827586206895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[329,329,792],"beta":{"interval_sums":[439984,433502,413130],"interval_residues":[134,134,134],"display_cycle":[134,134,134],"intervals":[{"from_index":37,"to_index":965,"sum":439984,"residue":134},{"from_index":965,"to_index":1893,"sum":433502,"residue":134},{"from_index":1893,"to_index":37,"sum":413130,"residue":134}],"minimal_cycle":[134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[37,965],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-38","shape":"Equilateral triangle","alpha_indices":[38,966,1894],"clock_positions":[38,966,1894],"native_values":[783,320,783],"rotation_degrees":4.913793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[783,320,783],"beta":{"interval_sums":[439530,433974,412676],"interval_residues":[606,606,606],"display_cycle":[606,606,606],"intervals":[{"from_index":38,"to_index":966,"sum":439530,"residue":606},{"from_index":966,"to_index":1894,"sum":433974,"residue":606},{"from_index":1894,"to_index":38,"sum":412676,"residue":606}],"minimal_cycle":[606],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":606,"start_interval_clock_positions":[38,966],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-39","shape":"Equilateral triangle","alpha_indices":[39,967,1895],"clock_positions":[39,967,1895],"native_values":[186,649,649],"rotation_degrees":5.043103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[186,649,649],"beta":{"interval_sums":[439664,434108,412810],"interval_residues":[740,740,740],"display_cycle":[740,740,740],"intervals":[{"from_index":39,"to_index":967,"sum":439664,"residue":740},{"from_index":967,"to_index":1895,"sum":434108,"residue":740},{"from_index":1895,"to_index":39,"sum":412810,"residue":740}],"minimal_cycle":[740],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":740,"start_interval_clock_positions":[39,967],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-40","shape":"Equilateral triangle","alpha_indices":[40,968,1896],"clock_positions":[40,968,1896],"native_values":[43,43,506],"rotation_degrees":5.172413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[43,43,506],"beta":{"interval_sums":[440270,434714,412490],"interval_residues":[420,420,420],"display_cycle":[420,420,420],"intervals":[{"from_index":40,"to_index":968,"sum":440270,"residue":420},{"from_index":968,"to_index":1896,"sum":434714,"residue":420},{"from_index":1896,"to_index":40,"sum":412490,"residue":420}],"minimal_cycle":[420],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":420,"start_interval_clock_positions":[40,968],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-41","shape":"Equilateral triangle","alpha_indices":[41,969,1897],"clock_positions":[41,969,1897],"native_values":[229,692,229],"rotation_degrees":5.301724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[229,692,229],"beta":{"interval_sums":[440084,434528,412304],"interval_residues":[234,234,234],"display_cycle":[234,234,234],"intervals":[{"from_index":41,"to_index":969,"sum":440084,"residue":234},{"from_index":969,"to_index":1897,"sum":434528,"residue":234},{"from_index":1897,"to_index":41,"sum":412304,"residue":234}],"minimal_cycle":[234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[41,969],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-42","shape":"Equilateral triangle","alpha_indices":[42,970,1898],"clock_positions":[42,970,1898],"native_values":[272,735,735],"rotation_degrees":5.431034482758621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[272,735,735],"beta":{"interval_sums":[440504,434022,411798],"interval_residues":[654,654,654],"display_cycle":[654,654,654],"intervals":[{"from_index":42,"to_index":970,"sum":440504,"residue":654},{"from_index":970,"to_index":1898,"sum":434022,"residue":654},{"from_index":1898,"to_index":42,"sum":411798,"residue":654}],"minimal_cycle":[654],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":654,"start_interval_clock_positions":[42,970],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-43","shape":"Equilateral triangle","alpha_indices":[43,971,1899],"clock_positions":[43,971,1899],"native_values":[501,501,38],"rotation_degrees":5.560344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[501,501,38],"beta":{"interval_sums":[440738,434256,412032],"interval_residues":[888,888,888],"display_cycle":[888,888,888],"intervals":[{"from_index":43,"to_index":971,"sum":440738,"residue":888},{"from_index":971,"to_index":1899,"sum":434256,"residue":888},{"from_index":1899,"to_index":43,"sum":412032,"residue":888}],"minimal_cycle":[888],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":888,"start_interval_clock_positions":[43,971],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-44","shape":"Equilateral triangle","alpha_indices":[44,972,1900],"clock_positions":[44,972,1900],"native_values":[773,310,773],"rotation_degrees":5.689655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[773,310,773],"beta":{"interval_sums":[440466,433984,411760],"interval_residues":[616,616,616],"display_cycle":[616,616,616],"intervals":[{"from_index":44,"to_index":972,"sum":440466,"residue":616},{"from_index":972,"to_index":1900,"sum":433984,"residue":616},{"from_index":1900,"to_index":44,"sum":411760,"residue":616}],"minimal_cycle":[616],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":616,"start_interval_clock_positions":[44,972],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-45","shape":"Equilateral triangle","alpha_indices":[45,973,1901],"clock_positions":[45,973,1901],"native_values":[348,811,811],"rotation_degrees":5.818965517241379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[348,811,811],"beta":{"interval_sums":[440428,433946,411722],"interval_residues":[578,578,578],"display_cycle":[578,578,578],"intervals":[{"from_index":45,"to_index":973,"sum":440428,"residue":578},{"from_index":973,"to_index":1901,"sum":433946,"residue":578},{"from_index":1901,"to_index":45,"sum":411722,"residue":578}],"minimal_cycle":[578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[45,973],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-46","shape":"Equilateral triangle","alpha_indices":[46,974,1902],"clock_positions":[46,974,1902],"native_values":[195,195,658],"rotation_degrees":5.948275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,195,658],"beta":{"interval_sums":[441044,434562,411412],"interval_residues":[268,268,268],"display_cycle":[268,268,268],"intervals":[{"from_index":46,"to_index":974,"sum":441044,"residue":268},{"from_index":974,"to_index":1902,"sum":434562,"residue":268},{"from_index":1902,"to_index":46,"sum":411412,"residue":268}],"minimal_cycle":[268],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":268,"start_interval_clock_positions":[46,974],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-47","shape":"Equilateral triangle","alpha_indices":[47,975,1903],"clock_positions":[47,975,1903],"native_values":[543,80,543],"rotation_degrees":6.077586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[543,80,543],"beta":{"interval_sums":[440696,435140,411064],"interval_residues":[846,846,846],"display_cycle":[846,846,846],"intervals":[{"from_index":47,"to_index":975,"sum":440696,"residue":846},{"from_index":975,"to_index":1903,"sum":435140,"residue":846},{"from_index":1903,"to_index":47,"sum":411064,"residue":846}],"minimal_cycle":[846],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":846,"start_interval_clock_positions":[47,975],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-48","shape":"Equilateral triangle","alpha_indices":[48,976,1904],"clock_positions":[48,976,1904],"native_values":[738,275,275],"rotation_degrees":6.206896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[738,275,275],"beta":{"interval_sums":[440038,435408,411332],"interval_residues":[188,188,188],"display_cycle":[188,188,188],"intervals":[{"from_index":48,"to_index":976,"sum":440038,"residue":188},{"from_index":976,"to_index":1904,"sum":435408,"residue":188},{"from_index":1904,"to_index":48,"sum":411332,"residue":188}],"minimal_cycle":[188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[48,976],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-49","shape":"Equilateral triangle","alpha_indices":[49,977,1905],"clock_positions":[49,977,1905],"native_values":[355,355,818],"rotation_degrees":6.336206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,355,818],"beta":{"interval_sums":[439958,435328,411252],"interval_residues":[108,108,108],"display_cycle":[108,108,108],"intervals":[{"from_index":49,"to_index":977,"sum":439958,"residue":108},{"from_index":977,"to_index":1905,"sum":435328,"residue":108},{"from_index":1905,"to_index":49,"sum":411252,"residue":108}],"minimal_cycle":[108],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":108,"start_interval_clock_positions":[49,977],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-50","shape":"Equilateral triangle","alpha_indices":[50,978,1906],"clock_positions":[50,978,1906],"native_values":[167,630,167],"rotation_degrees":6.4655172413793105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,630,167],"beta":{"interval_sums":[440146,435516,411440],"interval_residues":[296,296,296],"display_cycle":[296,296,296],"intervals":[{"from_index":50,"to_index":978,"sum":440146,"residue":296},{"from_index":978,"to_index":1906,"sum":435516,"residue":296},{"from_index":1906,"to_index":50,"sum":411440,"residue":296}],"minimal_cycle":[296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[50,978],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-51","shape":"Equilateral triangle","alpha_indices":[51,979,1907],"clock_positions":[51,979,1907],"native_values":[522,59,59],"rotation_degrees":6.594827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[522,59,59],"beta":{"interval_sums":[440254,435624,411548],"interval_residues":[404,404,404],"display_cycle":[404,404,404],"intervals":[{"from_index":51,"to_index":979,"sum":440254,"residue":404},{"from_index":979,"to_index":1907,"sum":435624,"residue":404},{"from_index":1907,"to_index":51,"sum":411548,"residue":404}],"minimal_cycle":[404],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":404,"start_interval_clock_positions":[51,979],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-52","shape":"Equilateral triangle","alpha_indices":[52,980,1908],"clock_positions":[52,980,1908],"native_values":[689,689,226],"rotation_degrees":6.724137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[689,689,226],"beta":{"interval_sums":[439624,434994,411844],"interval_residues":[700,700,700],"display_cycle":[700,700,700],"intervals":[{"from_index":52,"to_index":980,"sum":439624,"residue":700},{"from_index":980,"to_index":1908,"sum":434994,"residue":700},{"from_index":1908,"to_index":52,"sum":411844,"residue":700}],"minimal_cycle":[700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[52,980],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-53","shape":"Equilateral triangle","alpha_indices":[53,981,1909],"clock_positions":[53,981,1909],"native_values":[285,748,285],"rotation_degrees":6.853448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[285,748,285],"beta":{"interval_sums":[440028,434472,412248],"interval_residues":[178,178,178],"display_cycle":[178,178,178],"intervals":[{"from_index":53,"to_index":981,"sum":440028,"residue":178},{"from_index":981,"to_index":1909,"sum":434472,"residue":178},{"from_index":1909,"to_index":53,"sum":412248,"residue":178}],"minimal_cycle":[178],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":178,"start_interval_clock_positions":[53,981],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-54","shape":"Equilateral triangle","alpha_indices":[54,982,1910],"clock_positions":[54,982,1910],"native_values":[48,511,511],"rotation_degrees":6.982758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[48,511,511],"beta":{"interval_sums":[440728,434246,412022],"interval_residues":[878,878,878],"display_cycle":[878,878,878],"intervals":[{"from_index":54,"to_index":982,"sum":440728,"residue":878},{"from_index":982,"to_index":1910,"sum":434246,"residue":878},{"from_index":1910,"to_index":54,"sum":412022,"residue":878}],"minimal_cycle":[878],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":878,"start_interval_clock_positions":[54,982],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-55","shape":"Equilateral triangle","alpha_indices":[55,983,1911],"clock_positions":[55,983,1911],"native_values":[333,333,796],"rotation_degrees":7.112068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,333,796],"beta":{"interval_sums":[440906,434424,411274],"interval_residues":[130,130,130],"display_cycle":[130,130,130],"intervals":[{"from_index":55,"to_index":983,"sum":440906,"residue":130},{"from_index":983,"to_index":1911,"sum":434424,"residue":130},{"from_index":1911,"to_index":55,"sum":411274,"residue":130}],"minimal_cycle":[130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[55,983],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-56","shape":"Equilateral triangle","alpha_indices":[56,984,1912],"clock_positions":[56,984,1912],"native_values":[381,844,381],"rotation_degrees":7.241379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,844,381],"beta":{"interval_sums":[440858,434376,411226],"interval_residues":[82,82,82],"display_cycle":[82,82,82],"intervals":[{"from_index":56,"to_index":984,"sum":440858,"residue":82},{"from_index":984,"to_index":1912,"sum":434376,"residue":82},{"from_index":1912,"to_index":56,"sum":411226,"residue":82}],"minimal_cycle":[82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[56,984],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-57","shape":"Equilateral triangle","alpha_indices":[57,985,1913],"clock_positions":[57,985,1913],"native_values":[714,251,251],"rotation_degrees":7.370689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[714,251,251],"beta":{"interval_sums":[440988,434506,411356],"interval_residues":[212,212,212],"display_cycle":[212,212,212],"intervals":[{"from_index":57,"to_index":985,"sum":440988,"residue":212},{"from_index":985,"to_index":1913,"sum":434506,"residue":212},{"from_index":1913,"to_index":57,"sum":411356,"residue":212}],"minimal_cycle":[212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":212,"start_interval_clock_positions":[57,985],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-58","shape":"Equilateral triangle","alpha_indices":[58,986,1914],"clock_positions":[58,986,1914],"native_values":[169,169,632],"rotation_degrees":7.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,169,632],"beta":{"interval_sums":[441070,434588,411438],"interval_residues":[294,294,294],"display_cycle":[294,294,294],"intervals":[{"from_index":58,"to_index":986,"sum":441070,"residue":294},{"from_index":986,"to_index":1914,"sum":434588,"residue":294},{"from_index":1914,"to_index":58,"sum":411438,"residue":294}],"minimal_cycle":[294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[58,986],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-59","shape":"Equilateral triangle","alpha_indices":[59,987,1915],"clock_positions":[59,987,1915],"native_values":[883,420,883],"rotation_degrees":7.629310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[883,420,883],"beta":{"interval_sums":[440356,434800,410724],"interval_residues":[506,506,506],"display_cycle":[506,506,506],"intervals":[{"from_index":59,"to_index":987,"sum":440356,"residue":506},{"from_index":987,"to_index":1915,"sum":434800,"residue":506},{"from_index":1915,"to_index":59,"sum":410724,"residue":506}],"minimal_cycle":[506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":506,"start_interval_clock_positions":[59,987],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-60","shape":"Equilateral triangle","alpha_indices":[60,988,1916],"clock_positions":[60,988,1916],"native_values":[126,589,589],"rotation_degrees":7.758620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[126,589,589],"beta":{"interval_sums":[440650,435094,411018],"interval_residues":[800,800,800],"display_cycle":[800,800,800],"intervals":[{"from_index":60,"to_index":988,"sum":440650,"residue":800},{"from_index":988,"to_index":1916,"sum":435094,"residue":800},{"from_index":1916,"to_index":60,"sum":411018,"residue":800}],"minimal_cycle":[800],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":800,"start_interval_clock_positions":[60,988],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-61","shape":"Equilateral triangle","alpha_indices":[61,989,1917],"clock_positions":[61,989,1917],"native_values":[83,83,546],"rotation_degrees":7.887931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[83,83,546],"beta":{"interval_sums":[441156,435600,410598],"interval_residues":[380,380,380],"display_cycle":[380,380,380],"intervals":[{"from_index":61,"to_index":989,"sum":441156,"residue":380},{"from_index":989,"to_index":1917,"sum":435600,"residue":380},{"from_index":1917,"to_index":61,"sum":410598,"residue":380}],"minimal_cycle":[380],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":380,"start_interval_clock_positions":[61,989],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-62","shape":"Equilateral triangle","alpha_indices":[62,990,1918],"clock_positions":[62,990,1918],"native_values":[209,672,209],"rotation_degrees":8.017241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,672,209],"beta":{"interval_sums":[441030,435474,410472],"interval_residues":[254,254,254],"display_cycle":[254,254,254],"intervals":[{"from_index":62,"to_index":990,"sum":441030,"residue":254},{"from_index":990,"to_index":1918,"sum":435474,"residue":254},{"from_index":1918,"to_index":62,"sum":410472,"residue":254}],"minimal_cycle":[254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":254,"start_interval_clock_positions":[62,990],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-63","shape":"Equilateral triangle","alpha_indices":[63,991,1919],"clock_positions":[63,991,1919],"native_values":[292,755,755],"rotation_degrees":8.14655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,755,755],"beta":{"interval_sums":[441410,434928,409926],"interval_residues":[634,634,634],"display_cycle":[634,634,634],"intervals":[{"from_index":63,"to_index":991,"sum":441410,"residue":634},{"from_index":991,"to_index":1919,"sum":434928,"residue":634},{"from_index":1919,"to_index":63,"sum":409926,"residue":634}],"minimal_cycle":[634],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":634,"start_interval_clock_positions":[63,991],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-64","shape":"Equilateral triangle","alpha_indices":[64,992,1920],"clock_positions":[64,992,1920],"native_values":[501,501,38],"rotation_degrees":8.275862068965518,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[501,501,38],"beta":{"interval_sums":[441664,435182,410180],"interval_residues":[888,888,888],"display_cycle":[888,888,888],"intervals":[{"from_index":64,"to_index":992,"sum":441664,"residue":888},{"from_index":992,"to_index":1920,"sum":435182,"residue":888},{"from_index":1920,"to_index":64,"sum":410180,"residue":888}],"minimal_cycle":[888],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":888,"start_interval_clock_positions":[64,992],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-65","shape":"Equilateral triangle","alpha_indices":[65,993,1921],"clock_positions":[65,993,1921],"native_values":[793,330,793],"rotation_degrees":8.405172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[793,330,793],"beta":{"interval_sums":[441372,434890,409888],"interval_residues":[596,596,596],"display_cycle":[596,596,596],"intervals":[{"from_index":65,"to_index":993,"sum":441372,"residue":596},{"from_index":993,"to_index":1921,"sum":434890,"residue":596},{"from_index":1921,"to_index":65,"sum":409888,"residue":596}],"minimal_cycle":[596],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":596,"start_interval_clock_positions":[65,993],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-66","shape":"Equilateral triangle","alpha_indices":[66,994,1922],"clock_positions":[66,994,1922],"native_values":[368,831,831],"rotation_degrees":8.53448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[368,831,831],"beta":{"interval_sums":[441334,434852,409850],"interval_residues":[558,558,558],"display_cycle":[558,558,558],"intervals":[{"from_index":66,"to_index":994,"sum":441334,"residue":558},{"from_index":994,"to_index":1922,"sum":434852,"residue":558},{"from_index":1922,"to_index":66,"sum":409850,"residue":558}],"minimal_cycle":[558],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":558,"start_interval_clock_positions":[66,994],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-67","shape":"Equilateral triangle","alpha_indices":[67,995,1923],"clock_positions":[67,995,1923],"native_values":[235,235,698],"rotation_degrees":8.663793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,235,698],"beta":{"interval_sums":[441930,435448,409520],"interval_residues":[228,228,228],"display_cycle":[228,228,228],"intervals":[{"from_index":67,"to_index":995,"sum":441930,"residue":228},{"from_index":995,"to_index":1923,"sum":435448,"residue":228},{"from_index":1923,"to_index":67,"sum":409520,"residue":228}],"minimal_cycle":[228],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[67,995],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-68","shape":"Equilateral triangle","alpha_indices":[68,996,1924],"clock_positions":[68,996,1924],"native_values":[603,140,603],"rotation_degrees":8.793103448275861,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[603,140,603],"beta":{"interval_sums":[441562,436006,409152],"interval_residues":[786,786,786],"display_cycle":[786,786,786],"intervals":[{"from_index":68,"to_index":996,"sum":441562,"residue":786},{"from_index":996,"to_index":1924,"sum":436006,"residue":786},{"from_index":1924,"to_index":68,"sum":409152,"residue":786}],"minimal_cycle":[786],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":786,"start_interval_clock_positions":[68,996],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-69","shape":"Equilateral triangle","alpha_indices":[69,997,1925],"clock_positions":[69,997,1925],"native_values":[838,375,375],"rotation_degrees":8.922413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[838,375,375],"beta":{"interval_sums":[440864,436234,409380],"interval_residues":[88,88,88],"display_cycle":[88,88,88],"intervals":[{"from_index":69,"to_index":997,"sum":440864,"residue":88},{"from_index":997,"to_index":1925,"sum":436234,"residue":88},{"from_index":1925,"to_index":69,"sum":409380,"residue":88}],"minimal_cycle":[88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[69,997],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-70","shape":"Equilateral triangle","alpha_indices":[70,998,1926],"clock_positions":[70,998,1926],"native_values":[515,515,52],"rotation_degrees":9.051724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[515,515,52],"beta":{"interval_sums":[440724,436094,410166],"interval_residues":[874,874,874],"display_cycle":[874,874,874],"intervals":[{"from_index":70,"to_index":998,"sum":440724,"residue":874},{"from_index":998,"to_index":1926,"sum":436094,"residue":874},{"from_index":1926,"to_index":70,"sum":410166,"residue":874}],"minimal_cycle":[874],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":874,"start_interval_clock_positions":[70,998],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-71","shape":"Equilateral triangle","alpha_indices":[71,999,1927],"clock_positions":[71,999,1927],"native_values":[427,890,427],"rotation_degrees":9.181034482758621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[427,890,427],"beta":{"interval_sums":[440812,435256,410254],"interval_residues":[36,36,36],"display_cycle":[36,36,36],"intervals":[{"from_index":71,"to_index":999,"sum":440812,"residue":36},{"from_index":999,"to_index":1927,"sum":435256,"residue":36},{"from_index":1927,"to_index":71,"sum":410254,"residue":36}],"minimal_cycle":[36],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[71,999],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-72","shape":"Equilateral triangle","alpha_indices":[72,1000,1928],"clock_positions":[72,1000,1928],"native_values":[16,479,479],"rotation_degrees":9.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[16,479,479],"beta":{"interval_sums":[441686,435204,410202],"interval_residues":[910,910,910],"display_cycle":[910,910,910],"intervals":[{"from_index":72,"to_index":1000,"sum":441686,"residue":910},{"from_index":1000,"to_index":1928,"sum":435204,"residue":910},{"from_index":1928,"to_index":72,"sum":410202,"residue":910}],"minimal_cycle":[910],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":910,"start_interval_clock_positions":[72,1000],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-73","shape":"Equilateral triangle","alpha_indices":[73,1001,1929],"clock_positions":[73,1001,1929],"native_values":[443,443,906],"rotation_degrees":9.439655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,443,906],"beta":{"interval_sums":[441722,435240,409312],"interval_residues":[20,20,20],"display_cycle":[20,20,20],"intervals":[{"from_index":73,"to_index":1001,"sum":441722,"residue":20},{"from_index":1001,"to_index":1929,"sum":435240,"residue":20},{"from_index":1929,"to_index":73,"sum":409312,"residue":20}],"minimal_cycle":[20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":20,"start_interval_clock_positions":[73,1001],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-74","shape":"Equilateral triangle","alpha_indices":[74,1002,1930],"clock_positions":[74,1002,1930],"native_values":[459,922,459],"rotation_degrees":9.568965517241379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[459,922,459],"beta":{"interval_sums":[441706,435224,409296],"interval_residues":[4,4,4],"display_cycle":[4,4,4],"intervals":[{"from_index":74,"to_index":1002,"sum":441706,"residue":4},{"from_index":1002,"to_index":1930,"sum":435224,"residue":4},{"from_index":1930,"to_index":74,"sum":409296,"residue":4}],"minimal_cycle":[4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[74,1002],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-75","shape":"Equilateral triangle","alpha_indices":[75,1003,1931],"clock_positions":[75,1003,1931],"native_values":[902,439,439],"rotation_degrees":9.698275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[902,439,439],"beta":{"interval_sums":[441726,435244,409316],"interval_residues":[24,24,24],"display_cycle":[24,24,24],"intervals":[{"from_index":75,"to_index":1003,"sum":441726,"residue":24},{"from_index":1003,"to_index":1931,"sum":435244,"residue":24},{"from_index":1931,"to_index":75,"sum":409316,"residue":24}],"minimal_cycle":[24],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":24,"start_interval_clock_positions":[75,1003],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-76","shape":"Equilateral triangle","alpha_indices":[76,1004,1932],"clock_positions":[76,1004,1932],"native_values":[435,435,898],"rotation_degrees":9.827586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[435,435,898],"beta":{"interval_sums":[441730,435248,409320],"interval_residues":[28,28,28],"display_cycle":[28,28,28],"intervals":[{"from_index":76,"to_index":1004,"sum":441730,"residue":28},{"from_index":1004,"to_index":1932,"sum":435248,"residue":28},{"from_index":1932,"to_index":76,"sum":409320,"residue":28}],"minimal_cycle":[28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[76,1004],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-77","shape":"Equilateral triangle","alpha_indices":[77,1005,1933],"clock_positions":[77,1005,1933],"native_values":[411,874,411],"rotation_degrees":9.956896551724139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[411,874,411],"beta":{"interval_sums":[441754,435272,409344],"interval_residues":[52,52,52],"display_cycle":[52,52,52],"intervals":[{"from_index":77,"to_index":1005,"sum":441754,"residue":52},{"from_index":1005,"to_index":1933,"sum":435272,"residue":52},{"from_index":1933,"to_index":77,"sum":409344,"residue":52}],"minimal_cycle":[52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[77,1005],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-78","shape":"Equilateral triangle","alpha_indices":[78,1006,1934],"clock_positions":[78,1006,1934],"native_values":[846,383,383],"rotation_degrees":10.086206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[846,383,383],"beta":{"interval_sums":[441782,435300,409372],"interval_residues":[80,80,80],"display_cycle":[80,80,80],"intervals":[{"from_index":78,"to_index":1006,"sum":441782,"residue":80},{"from_index":1006,"to_index":1934,"sum":435300,"residue":80},{"from_index":1934,"to_index":78,"sum":409372,"residue":80}],"minimal_cycle":[80],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[78,1006],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-79","shape":"Equilateral triangle","alpha_indices":[79,1007,1935],"clock_positions":[79,1007,1935],"native_values":[331,331,794],"rotation_degrees":10.21551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,331,794],"beta":{"interval_sums":[441834,435352,409424],"interval_residues":[132,132,132],"display_cycle":[132,132,132],"intervals":[{"from_index":79,"to_index":1007,"sum":441834,"residue":132},{"from_index":1007,"to_index":1935,"sum":435352,"residue":132},{"from_index":1935,"to_index":79,"sum":409424,"residue":132}],"minimal_cycle":[132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[79,1007],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-80","shape":"Equilateral triangle","alpha_indices":[80,1008,1936],"clock_positions":[80,1008,1936],"native_values":[251,714,251],"rotation_degrees":10.344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[251,714,251],"beta":{"interval_sums":[441914,435432,409504],"interval_residues":[212,212,212],"display_cycle":[212,212,212],"intervals":[{"from_index":80,"to_index":1008,"sum":441914,"residue":212},{"from_index":1008,"to_index":1936,"sum":435432,"residue":212},{"from_index":1936,"to_index":80,"sum":409504,"residue":212}],"minimal_cycle":[212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":212,"start_interval_clock_positions":[80,1008],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-81","shape":"Equilateral triangle","alpha_indices":[81,1009,1937],"clock_positions":[81,1009,1937],"native_values":[582,119,119],"rotation_degrees":10.474137931034482,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[582,119,119],"beta":{"interval_sums":[442046,435564,409636],"interval_residues":[344,344,344],"display_cycle":[344,344,344],"intervals":[{"from_index":81,"to_index":1009,"sum":442046,"residue":344},{"from_index":1009,"to_index":1937,"sum":435564,"residue":344},{"from_index":1937,"to_index":81,"sum":409636,"residue":344}],"minimal_cycle":[344],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":344,"start_interval_clock_positions":[81,1009],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-82","shape":"Equilateral triangle","alpha_indices":[82,1010,1938],"clock_positions":[82,1010,1938],"native_values":[833,833,370],"rotation_degrees":10.60344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[833,833,370],"beta":{"interval_sums":[441332,434850,409848],"interval_residues":[556,556,556],"display_cycle":[556,556,556],"intervals":[{"from_index":82,"to_index":1010,"sum":441332,"residue":556},{"from_index":1010,"to_index":1938,"sum":434850,"residue":556},{"from_index":1938,"to_index":82,"sum":409848,"residue":556}],"minimal_cycle":[556],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":556,"start_interval_clock_positions":[82,1010],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-83","shape":"Equilateral triangle","alpha_indices":[83,1011,1939],"clock_positions":[83,1011,1939],"native_values":[489,26,489],"rotation_degrees":10.732758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[489,26,489],"beta":{"interval_sums":[441676,435194,410192],"interval_residues":[900,900,900],"display_cycle":[900,900,900],"intervals":[{"from_index":83,"to_index":1011,"sum":441676,"residue":900},{"from_index":1011,"to_index":1939,"sum":435194,"residue":900},{"from_index":1939,"to_index":83,"sum":410192,"residue":900}],"minimal_cycle":[900],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":900,"start_interval_clock_positions":[83,1011],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-84","shape":"Equilateral triangle","alpha_indices":[84,1012,1940],"clock_positions":[84,1012,1940],"native_values":[396,859,859],"rotation_degrees":10.862068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[396,859,859],"beta":{"interval_sums":[441306,434824,409822],"interval_residues":[530,530,530],"display_cycle":[530,530,530],"intervals":[{"from_index":84,"to_index":1012,"sum":441306,"residue":530},{"from_index":1012,"to_index":1940,"sum":434824,"residue":530},{"from_index":1940,"to_index":84,"sum":409822,"residue":530}],"minimal_cycle":[530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[84,1012],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-85","shape":"Equilateral triangle","alpha_indices":[85,1013,1941],"clock_positions":[85,1013,1941],"native_values":[885,885,422],"rotation_degrees":10.991379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[885,885,422],"beta":{"interval_sums":[441280,434798,409796],"interval_residues":[504,504,504],"display_cycle":[504,504,504],"intervals":[{"from_index":85,"to_index":1013,"sum":441280,"residue":504},{"from_index":1013,"to_index":1941,"sum":434798,"residue":504},{"from_index":1941,"to_index":85,"sum":409796,"residue":504}],"minimal_cycle":[504],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":504,"start_interval_clock_positions":[85,1013],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-86","shape":"Equilateral triangle","alpha_indices":[86,1014,1942],"clock_positions":[86,1014,1942],"native_values":[355,818,355],"rotation_degrees":11.120689655172415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,818,355],"beta":{"interval_sums":[441810,434402,410326],"interval_residues":[108,108,108],"display_cycle":[108,108,108],"intervals":[{"from_index":86,"to_index":1014,"sum":441810,"residue":108},{"from_index":1014,"to_index":1942,"sum":434402,"residue":108},{"from_index":1942,"to_index":86,"sum":410326,"residue":108}],"minimal_cycle":[108],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":108,"start_interval_clock_positions":[86,1014],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-87","shape":"Equilateral triangle","alpha_indices":[87,1015,1943],"clock_positions":[87,1015,1943],"native_values":[314,777,777],"rotation_degrees":11.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[314,777,777],"beta":{"interval_sums":[442314,433980,409904],"interval_residues":[612,612,612],"display_cycle":[612,612,612],"intervals":[{"from_index":87,"to_index":1015,"sum":442314,"residue":612},{"from_index":1015,"to_index":1943,"sum":433980,"residue":612},{"from_index":1943,"to_index":87,"sum":409904,"residue":612}],"minimal_cycle":[612],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":612,"start_interval_clock_positions":[87,1015],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-88","shape":"Equilateral triangle","alpha_indices":[88,1016,1944],"clock_positions":[88,1016,1944],"native_values":[669,669,206],"rotation_degrees":11.379310344827585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,669,206],"beta":{"interval_sums":[442422,434088,410012],"interval_residues":[720,720,720],"display_cycle":[720,720,720],"intervals":[{"from_index":88,"to_index":1016,"sum":442422,"residue":720},{"from_index":1016,"to_index":1944,"sum":434088,"residue":720},{"from_index":1944,"to_index":88,"sum":410012,"residue":720}],"minimal_cycle":[720],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":720,"start_interval_clock_positions":[88,1016],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-89","shape":"Equilateral triangle","alpha_indices":[89,1017,1945],"clock_positions":[89,1017,1945],"native_values":[57,520,57],"rotation_degrees":11.508620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,520,57],"beta":{"interval_sums":[443034,433774,410624],"interval_residues":[406,406,406],"display_cycle":[406,406,406],"intervals":[{"from_index":89,"to_index":1017,"sum":443034,"residue":406},{"from_index":1017,"to_index":1945,"sum":433774,"residue":406},{"from_index":1945,"to_index":89,"sum":410624,"residue":406}],"minimal_cycle":[406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[89,1017],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-90","shape":"Equilateral triangle","alpha_indices":[90,1018,1946],"clock_positions":[90,1018,1946],"native_values":[726,263,263],"rotation_degrees":11.637931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[726,263,263],"beta":{"interval_sums":[442828,433568,410418],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":90,"to_index":1018,"sum":442828,"residue":200},{"from_index":1018,"to_index":1946,"sum":433568,"residue":200},{"from_index":1946,"to_index":90,"sum":410418,"residue":200}],"minimal_cycle":[200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[90,1018],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-91","shape":"Equilateral triangle","alpha_indices":[91,1019,1947],"clock_positions":[91,1019,1947],"native_values":[783,783,320],"rotation_degrees":11.767241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[783,783,320],"beta":{"interval_sums":[442308,433048,410824],"interval_residues":[606,606,606],"display_cycle":[606,606,606],"intervals":[{"from_index":91,"to_index":1019,"sum":442308,"residue":606},{"from_index":1019,"to_index":1947,"sum":433048,"residue":606},{"from_index":1947,"to_index":91,"sum":410824,"residue":606}],"minimal_cycle":[606],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":606,"start_interval_clock_positions":[91,1019],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-92","shape":"Equilateral triangle","alpha_indices":[92,1020,1948],"clock_positions":[92,1020,1948],"native_values":[583,120,583],"rotation_degrees":11.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[583,120,583],"beta":{"interval_sums":[442508,433248,411024],"interval_residues":[806,806,806],"display_cycle":[806,806,806],"intervals":[{"from_index":92,"to_index":1020,"sum":442508,"residue":806},{"from_index":1020,"to_index":1948,"sum":433248,"residue":806},{"from_index":1948,"to_index":92,"sum":411024,"residue":806}],"minimal_cycle":[806],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":806,"start_interval_clock_positions":[92,1020],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-93","shape":"Equilateral triangle","alpha_indices":[93,1021,1949],"clock_positions":[93,1021,1949],"native_values":[440,903,903],"rotation_degrees":12.025862068965518,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[440,903,903],"beta":{"interval_sums":[442188,432928,410704],"interval_residues":[486,486,486],"display_cycle":[486,486,486],"intervals":[{"from_index":93,"to_index":1021,"sum":442188,"residue":486},{"from_index":1021,"to_index":1949,"sum":432928,"residue":486},{"from_index":1949,"to_index":93,"sum":410704,"residue":486}],"minimal_cycle":[486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":486,"start_interval_clock_positions":[93,1021],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-94","shape":"Equilateral triangle","alpha_indices":[94,1022,1950],"clock_positions":[94,1022,1950],"native_values":[97,97,560],"rotation_degrees":12.155172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[97,97,560],"beta":{"interval_sums":[442994,433734,410584],"interval_residues":[366,366,366],"display_cycle":[366,366,366],"intervals":[{"from_index":94,"to_index":1022,"sum":442994,"residue":366},{"from_index":1022,"to_index":1950,"sum":433734,"residue":366},{"from_index":1950,"to_index":94,"sum":410584,"residue":366}],"minimal_cycle":[366],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":366,"start_interval_clock_positions":[94,1022],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-95","shape":"Equilateral triangle","alpha_indices":[95,1023,1951],"clock_positions":[95,1023,1951],"native_values":[537,74,537],"rotation_degrees":12.28448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[537,74,537],"beta":{"interval_sums":[442554,434220,410144],"interval_residues":[852,852,852],"display_cycle":[852,852,852],"intervals":[{"from_index":95,"to_index":1023,"sum":442554,"residue":852},{"from_index":1023,"to_index":1951,"sum":434220,"residue":852},{"from_index":1951,"to_index":95,"sum":410144,"residue":852}],"minimal_cycle":[852],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":852,"start_interval_clock_positions":[95,1023],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-96","shape":"Equilateral triangle","alpha_indices":[96,1024,1952],"clock_positions":[96,1024,1952],"native_values":[634,171,171],"rotation_degrees":12.413793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[634,171,171],"beta":{"interval_sums":[441994,434586,410510],"interval_residues":[292,292,292],"display_cycle":[292,292,292],"intervals":[{"from_index":96,"to_index":1024,"sum":441994,"residue":292},{"from_index":1024,"to_index":1952,"sum":434586,"residue":292},{"from_index":1952,"to_index":96,"sum":410510,"residue":292}],"minimal_cycle":[292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[96,1024],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-97","shape":"Equilateral triangle","alpha_indices":[97,1025,1953],"clock_positions":[97,1025,1953],"native_values":[245,245,708],"rotation_degrees":12.543103448275861,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[245,245,708],"beta":{"interval_sums":[441920,434512,410436],"interval_residues":[218,218,218],"display_cycle":[218,218,218],"intervals":[{"from_index":97,"to_index":1025,"sum":441920,"residue":218},{"from_index":1025,"to_index":1953,"sum":434512,"residue":218},{"from_index":1953,"to_index":97,"sum":410436,"residue":218}],"minimal_cycle":[218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":218,"start_interval_clock_positions":[97,1025],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-98","shape":"Equilateral triangle","alpha_indices":[98,1026,1954],"clock_positions":[98,1026,1954],"native_values":[879,416,879],"rotation_degrees":12.672413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[879,416,879],"beta":{"interval_sums":[441286,434804,409802],"interval_residues":[510,510,510],"display_cycle":[510,510,510],"intervals":[{"from_index":98,"to_index":1026,"sum":441286,"residue":510},{"from_index":1026,"to_index":1954,"sum":434804,"residue":510},{"from_index":1954,"to_index":98,"sum":409802,"residue":510}],"minimal_cycle":[510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[98,1026],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-99","shape":"Equilateral triangle","alpha_indices":[99,1027,1955],"clock_positions":[99,1027,1955],"native_values":[198,661,661],"rotation_degrees":12.801724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[198,661,661],"beta":{"interval_sums":[441504,435022,410020],"interval_residues":[728,728,728],"display_cycle":[728,728,728],"intervals":[{"from_index":99,"to_index":1027,"sum":441504,"residue":728},{"from_index":1027,"to_index":1955,"sum":435022,"residue":728},{"from_index":1955,"to_index":99,"sum":410020,"residue":728}],"minimal_cycle":[728],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":728,"start_interval_clock_positions":[99,1027],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-100","shape":"Equilateral triangle","alpha_indices":[100,1028,1956],"clock_positions":[100,1028,1956],"native_values":[151,151,614],"rotation_degrees":12.931034482758621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,151,614],"beta":{"interval_sums":[442014,435532,409604],"interval_residues":[312,312,312],"display_cycle":[312,312,312],"intervals":[{"from_index":100,"to_index":1028,"sum":442014,"residue":312},{"from_index":1028,"to_index":1956,"sum":435532,"residue":312},{"from_index":1956,"to_index":100,"sum":409604,"residue":312}],"minimal_cycle":[312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[100,1028],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-101","shape":"Equilateral triangle","alpha_indices":[101,1029,1957],"clock_positions":[101,1029,1957],"native_values":[349,812,349],"rotation_degrees":13.060344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,812,349],"beta":{"interval_sums":[441816,435334,409406],"interval_residues":[114,114,114],"display_cycle":[114,114,114],"intervals":[{"from_index":101,"to_index":1029,"sum":441816,"residue":114},{"from_index":1029,"to_index":1957,"sum":435334,"residue":114},{"from_index":1957,"to_index":101,"sum":409406,"residue":114}],"minimal_cycle":[114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[101,1029],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-102","shape":"Equilateral triangle","alpha_indices":[102,1030,1958],"clock_positions":[102,1030,1958],"native_values":[500,37,37],"rotation_degrees":13.189655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[500,37,37],"beta":{"interval_sums":[442128,435646,409718],"interval_residues":[426,426,426],"display_cycle":[426,426,426],"intervals":[{"from_index":102,"to_index":1030,"sum":442128,"residue":426},{"from_index":1030,"to_index":1958,"sum":435646,"residue":426},{"from_index":1958,"to_index":102,"sum":409718,"residue":426}],"minimal_cycle":[426],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":426,"start_interval_clock_positions":[102,1030],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-103","shape":"Equilateral triangle","alpha_indices":[103,1031,1959],"clock_positions":[103,1031,1959],"native_values":[849,849,386],"rotation_degrees":13.318965517241379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[849,849,386],"beta":{"interval_sums":[441316,434834,409832],"interval_residues":[540,540,540],"display_cycle":[540,540,540],"intervals":[{"from_index":103,"to_index":1031,"sum":441316,"residue":540},{"from_index":1031,"to_index":1959,"sum":434834,"residue":540},{"from_index":1959,"to_index":103,"sum":409832,"residue":540}],"minimal_cycle":[540],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":540,"start_interval_clock_positions":[103,1031],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-104","shape":"Equilateral triangle","alpha_indices":[104,1032,1960],"clock_positions":[104,1032,1960],"native_values":[423,886,423],"rotation_degrees":13.448275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[423,886,423],"beta":{"interval_sums":[441742,434334,410258],"interval_residues":[40,40,40],"display_cycle":[40,40,40],"intervals":[{"from_index":104,"to_index":1032,"sum":441742,"residue":40},{"from_index":1032,"to_index":1960,"sum":434334,"residue":40},{"from_index":1960,"to_index":104,"sum":410258,"residue":40}],"minimal_cycle":[40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[104,1032],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-105","shape":"Equilateral triangle","alpha_indices":[105,1033,1961],"clock_positions":[105,1033,1961],"native_values":[346,809,809],"rotation_degrees":13.577586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[346,809,809],"beta":{"interval_sums":[442282,433948,409872],"interval_residues":[580,580,580],"display_cycle":[580,580,580],"intervals":[{"from_index":105,"to_index":1033,"sum":442282,"residue":580},{"from_index":1033,"to_index":1961,"sum":433948,"residue":580},{"from_index":1961,"to_index":105,"sum":409872,"residue":580}],"minimal_cycle":[580],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":580,"start_interval_clock_positions":[105,1033],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-106","shape":"Equilateral triangle","alpha_indices":[106,1034,1962],"clock_positions":[106,1034,1962],"native_values":[769,769,306],"rotation_degrees":13.706896551724139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[769,769,306],"beta":{"interval_sums":[442322,433988,409912],"interval_residues":[620,620,620],"display_cycle":[620,620,620],"intervals":[{"from_index":106,"to_index":1034,"sum":442322,"residue":620},{"from_index":1034,"to_index":1962,"sum":433988,"residue":620},{"from_index":1962,"to_index":106,"sum":409912,"residue":620}],"minimal_cycle":[620],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":620,"start_interval_clock_positions":[106,1034],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-107","shape":"Equilateral triangle","alpha_indices":[107,1035,1963],"clock_positions":[107,1035,1963],"native_values":[189,652,189],"rotation_degrees":13.836206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[189,652,189],"beta":{"interval_sums":[442902,433642,410492],"interval_residues":[274,274,274],"display_cycle":[274,274,274],"intervals":[{"from_index":107,"to_index":1035,"sum":442902,"residue":274},{"from_index":1035,"to_index":1963,"sum":433642,"residue":274},{"from_index":1963,"to_index":107,"sum":410492,"residue":274}],"minimal_cycle":[274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":274,"start_interval_clock_positions":[107,1035],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-108","shape":"Equilateral triangle","alpha_indices":[108,1036,1964],"clock_positions":[108,1036,1964],"native_values":[32,495,495],"rotation_degrees":13.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[32,495,495],"beta":{"interval_sums":[443522,433336,410186],"interval_residues":[894,894,894],"display_cycle":[894,894,894],"intervals":[{"from_index":108,"to_index":1036,"sum":443522,"residue":894},{"from_index":1036,"to_index":1964,"sum":433336,"residue":894},{"from_index":1964,"to_index":108,"sum":410186,"residue":894}],"minimal_cycle":[894],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":894,"start_interval_clock_positions":[108,1036],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-109","shape":"Equilateral triangle","alpha_indices":[109,1037,1965],"clock_positions":[109,1037,1965],"native_values":[221,221,684],"rotation_degrees":14.094827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,221,684],"beta":{"interval_sums":[443796,433610,409534],"interval_residues":[242,242,242],"display_cycle":[242,242,242],"intervals":[{"from_index":109,"to_index":1037,"sum":443796,"residue":242},{"from_index":1037,"to_index":1965,"sum":433610,"residue":242},{"from_index":1965,"to_index":109,"sum":409534,"residue":242}],"minimal_cycle":[242],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":242,"start_interval_clock_positions":[109,1037],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-110","shape":"Equilateral triangle","alpha_indices":[110,1038,1966],"clock_positions":[110,1038,1966],"native_values":[253,716,253],"rotation_degrees":14.224137931034482,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[253,716,253],"beta":{"interval_sums":[443764,433578,409502],"interval_residues":[210,210,210],"display_cycle":[210,210,210],"intervals":[{"from_index":110,"to_index":1038,"sum":443764,"residue":210},{"from_index":1038,"to_index":1966,"sum":433578,"residue":210},{"from_index":1966,"to_index":110,"sum":409502,"residue":210}],"minimal_cycle":[210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[110,1038],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-111","shape":"Equilateral triangle","alpha_indices":[111,1039,1967],"clock_positions":[111,1039,1967],"native_values":[474,11,11],"rotation_degrees":14.35344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[474,11,11],"beta":{"interval_sums":[444006,433820,409744],"interval_residues":[452,452,452],"display_cycle":[452,452,452],"intervals":[{"from_index":111,"to_index":1039,"sum":444006,"residue":452},{"from_index":1039,"to_index":1967,"sum":433820,"residue":452},{"from_index":1967,"to_index":111,"sum":409744,"residue":452}],"minimal_cycle":[452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[111,1039],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-112","shape":"Equilateral triangle","alpha_indices":[112,1040,1968],"clock_positions":[112,1040,1968],"native_values":[727,727,264],"rotation_degrees":14.482758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[727,727,264],"beta":{"interval_sums":[443290,433104,409954],"interval_residues":[662,662,662],"display_cycle":[662,662,662],"intervals":[{"from_index":112,"to_index":1040,"sum":443290,"residue":662},{"from_index":1040,"to_index":1968,"sum":433104,"residue":662},{"from_index":1968,"to_index":112,"sum":409954,"residue":662}],"minimal_cycle":[662],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":662,"start_interval_clock_positions":[112,1040],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-113","shape":"Equilateral triangle","alpha_indices":[113,1041,1969],"clock_positions":[113,1041,1969],"native_values":[275,738,275],"rotation_degrees":14.612068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[275,738,275],"beta":{"interval_sums":[443742,432630,410406],"interval_residues":[188,188,188],"display_cycle":[188,188,188],"intervals":[{"from_index":113,"to_index":1041,"sum":443742,"residue":188},{"from_index":1041,"to_index":1969,"sum":432630,"residue":188},{"from_index":1969,"to_index":113,"sum":410406,"residue":188}],"minimal_cycle":[188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[113,1041],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-114","shape":"Equilateral triangle","alpha_indices":[114,1042,1970],"clock_positions":[114,1042,1970],"native_values":[76,539,539],"rotation_degrees":14.741379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[76,539,539],"beta":{"interval_sums":[444404,432366,410142],"interval_residues":[850,850,850],"display_cycle":[850,850,850],"intervals":[{"from_index":114,"to_index":1042,"sum":444404,"residue":850},{"from_index":1042,"to_index":1970,"sum":432366,"residue":850},{"from_index":1970,"to_index":114,"sum":410142,"residue":850}],"minimal_cycle":[850],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":850,"start_interval_clock_positions":[114,1042],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-115","shape":"Equilateral triangle","alpha_indices":[115,1043,1971],"clock_positions":[115,1043,1971],"native_values":[351,351,814],"rotation_degrees":14.870689655172415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,351,814],"beta":{"interval_sums":[444592,432554,409404],"interval_residues":[112,112,112],"display_cycle":[112,112,112],"intervals":[{"from_index":115,"to_index":1043,"sum":444592,"residue":112},{"from_index":1043,"to_index":1971,"sum":432554,"residue":112},{"from_index":1971,"to_index":115,"sum":409404,"residue":112}],"minimal_cycle":[112],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":112,"start_interval_clock_positions":[115,1043],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-116","shape":"Equilateral triangle","alpha_indices":[116,1044,1972],"clock_positions":[116,1044,1972],"native_values":[427,890,427],"rotation_degrees":15.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[427,890,427],"beta":{"interval_sums":[444516,432478,409328],"interval_residues":[36,36,36],"display_cycle":[36,36,36],"intervals":[{"from_index":116,"to_index":1044,"sum":444516,"residue":36},{"from_index":1044,"to_index":1972,"sum":432478,"residue":36},{"from_index":1972,"to_index":116,"sum":409328,"residue":36}],"minimal_cycle":[36],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[116,1044],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-117","shape":"Equilateral triangle","alpha_indices":[117,1045,1973],"clock_positions":[117,1045,1973],"native_values":[778,315,315],"rotation_degrees":15.129310344827585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[778,315,315],"beta":{"interval_sums":[444628,432590,409440],"interval_residues":[148,148,148],"display_cycle":[148,148,148],"intervals":[{"from_index":117,"to_index":1045,"sum":444628,"residue":148},{"from_index":1045,"to_index":1973,"sum":432590,"residue":148},{"from_index":1973,"to_index":117,"sum":409440,"residue":148}],"minimal_cycle":[148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[117,1045],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-118","shape":"Equilateral triangle","alpha_indices":[118,1046,1974],"clock_positions":[118,1046,1974],"native_values":[279,279,742],"rotation_degrees":15.258620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,279,742],"beta":{"interval_sums":[444664,432626,409476],"interval_residues":[184,184,184],"display_cycle":[184,184,184],"intervals":[{"from_index":118,"to_index":1046,"sum":444664,"residue":184},{"from_index":1046,"to_index":1974,"sum":432626,"residue":184},{"from_index":1974,"to_index":118,"sum":409476,"residue":184}],"minimal_cycle":[184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":184,"start_interval_clock_positions":[118,1046],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-119","shape":"Equilateral triangle","alpha_indices":[119,1047,1975],"clock_positions":[119,1047,1975],"native_values":[131,594,131],"rotation_degrees":15.387931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,594,131],"beta":{"interval_sums":[444812,432774,409624],"interval_residues":[332,332,332],"display_cycle":[332,332,332],"intervals":[{"from_index":119,"to_index":1047,"sum":444812,"residue":332},{"from_index":1047,"to_index":1975,"sum":432774,"residue":332},{"from_index":1975,"to_index":119,"sum":409624,"residue":332}],"minimal_cycle":[332],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[119,1047],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-120","shape":"Equilateral triangle","alpha_indices":[120,1048,1976],"clock_positions":[120,1048,1976],"native_values":[410,873,873],"rotation_degrees":15.517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[410,873,873],"beta":{"interval_sums":[444996,432032,408882],"interval_residues":[516,516,516],"display_cycle":[516,516,516],"intervals":[{"from_index":120,"to_index":1048,"sum":444996,"residue":516},{"from_index":1048,"to_index":1976,"sum":432032,"residue":516},{"from_index":1976,"to_index":120,"sum":408882,"residue":516}],"minimal_cycle":[516],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":516,"start_interval_clock_positions":[120,1048],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-121","shape":"Equilateral triangle","alpha_indices":[121,1049,1977],"clock_positions":[121,1049,1977],"native_values":[541,541,78],"rotation_degrees":15.64655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[541,541,78],"beta":{"interval_sums":[445328,432364,409214],"interval_residues":[848,848,848],"display_cycle":[848,848,848],"intervals":[{"from_index":121,"to_index":1049,"sum":445328,"residue":848},{"from_index":1049,"to_index":1977,"sum":432364,"residue":848},{"from_index":1977,"to_index":121,"sum":409214,"residue":848}],"minimal_cycle":[848],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":848,"start_interval_clock_positions":[121,1049],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-122","shape":"Equilateral triangle","alpha_indices":[122,1050,1978],"clock_positions":[122,1050,1978],"native_values":[25,488,25],"rotation_degrees":15.775862068965518,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[25,488,25],"beta":{"interval_sums":[445844,431954,409730],"interval_residues":[438,438,438],"display_cycle":[438,438,438],"intervals":[{"from_index":122,"to_index":1050,"sum":445844,"residue":438},{"from_index":1050,"to_index":1978,"sum":431954,"residue":438},{"from_index":1978,"to_index":122,"sum":409730,"residue":438}],"minimal_cycle":[438],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":438,"start_interval_clock_positions":[122,1050],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-123","shape":"Equilateral triangle","alpha_indices":[123,1051,1979],"clock_positions":[123,1051,1979],"native_values":[566,103,103],"rotation_degrees":15.905172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[566,103,103],"beta":{"interval_sums":[445766,431876,409652],"interval_residues":[360,360,360],"display_cycle":[360,360,360],"intervals":[{"from_index":123,"to_index":1051,"sum":445766,"residue":360},{"from_index":1051,"to_index":1979,"sum":431876,"residue":360},{"from_index":1979,"to_index":123,"sum":409652,"residue":360}],"minimal_cycle":[360],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":360,"start_interval_clock_positions":[123,1051],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-124","shape":"Equilateral triangle","alpha_indices":[124,1052,1980],"clock_positions":[124,1052,1980],"native_values":[591,591,128],"rotation_degrees":16.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[591,591,128],"beta":{"interval_sums":[445278,431388,410090],"interval_residues":[798,798,798],"display_cycle":[798,798,798],"intervals":[{"from_index":124,"to_index":1052,"sum":445278,"residue":798},{"from_index":1052,"to_index":1980,"sum":431388,"residue":798},{"from_index":1980,"to_index":124,"sum":410090,"residue":798}],"minimal_cycle":[798],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":798,"start_interval_clock_positions":[124,1052],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-125","shape":"Equilateral triangle","alpha_indices":[125,1053,1981],"clock_positions":[125,1053,1981],"native_values":[231,694,231],"rotation_degrees":16.163793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[231,694,231],"beta":{"interval_sums":[445638,430822,410450],"interval_residues":[232,232,232],"display_cycle":[232,232,232],"intervals":[{"from_index":125,"to_index":1053,"sum":445638,"residue":232},{"from_index":1053,"to_index":1981,"sum":430822,"residue":232},{"from_index":1981,"to_index":125,"sum":410450,"residue":232}],"minimal_cycle":[232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[125,1053],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-126","shape":"Equilateral triangle","alpha_indices":[126,1054,1982],"clock_positions":[126,1054,1982],"native_values":[822,359,359],"rotation_degrees":16.29310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[822,359,359],"beta":{"interval_sums":[445510,430694,410322],"interval_residues":[104,104,104],"display_cycle":[104,104,104],"intervals":[{"from_index":126,"to_index":1054,"sum":445510,"residue":104},{"from_index":1054,"to_index":1982,"sum":430694,"residue":104},{"from_index":1982,"to_index":126,"sum":410322,"residue":104}],"minimal_cycle":[104],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":104,"start_interval_clock_positions":[126,1054],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-127","shape":"Equilateral triangle","alpha_indices":[127,1055,1983],"clock_positions":[127,1055,1983],"native_values":[127,127,590],"rotation_degrees":16.42241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,127,590],"beta":{"interval_sums":[445742,430926,410554],"interval_residues":[336,336,336],"display_cycle":[336,336,336],"intervals":[{"from_index":127,"to_index":1055,"sum":445742,"residue":336},{"from_index":1055,"to_index":1983,"sum":430926,"residue":336},{"from_index":1983,"to_index":127,"sum":410554,"residue":336}],"minimal_cycle":[336],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[127,1055],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-128","shape":"Equilateral triangle","alpha_indices":[128,1056,1984],"clock_positions":[128,1056,1984],"native_values":[23,486,23],"rotation_degrees":16.551724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[23,486,23],"beta":{"interval_sums":[445846,431030,410658],"interval_residues":[440,440,440],"display_cycle":[440,440,440],"intervals":[{"from_index":128,"to_index":1056,"sum":445846,"residue":440},{"from_index":1056,"to_index":1984,"sum":431030,"residue":440},{"from_index":1984,"to_index":128,"sum":410658,"residue":440}],"minimal_cycle":[440],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[128,1056],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-129","shape":"Equilateral triangle","alpha_indices":[129,1057,1985],"clock_positions":[129,1057,1985],"native_values":[150,613,613],"rotation_degrees":16.68103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[150,613,613],"beta":{"interval_sums":[446182,430440,410068],"interval_residues":[776,776,776],"display_cycle":[776,776,776],"intervals":[{"from_index":129,"to_index":1057,"sum":446182,"residue":776},{"from_index":1057,"to_index":1985,"sum":430440,"residue":776},{"from_index":1985,"to_index":129,"sum":410068,"residue":776}],"minimal_cycle":[776],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":776,"start_interval_clock_positions":[129,1057],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-130","shape":"Equilateral triangle","alpha_indices":[130,1058,1986],"clock_positions":[130,1058,1986],"native_values":[173,173,636],"rotation_degrees":16.810344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,173,636],"beta":{"interval_sums":[446622,430880,409582],"interval_residues":[290,290,290],"display_cycle":[290,290,290],"intervals":[{"from_index":130,"to_index":1058,"sum":446622,"residue":290},{"from_index":1058,"to_index":1986,"sum":430880,"residue":290},{"from_index":1986,"to_index":130,"sum":409582,"residue":290}],"minimal_cycle":[290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[130,1058],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-131","shape":"Equilateral triangle","alpha_indices":[131,1059,1987],"clock_positions":[131,1059,1987],"native_values":[323,786,323],"rotation_degrees":16.939655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,786,323],"beta":{"interval_sums":[446472,430730,409432],"interval_residues":[140,140,140],"display_cycle":[140,140,140],"intervals":[{"from_index":131,"to_index":1059,"sum":446472,"residue":140},{"from_index":1059,"to_index":1987,"sum":430730,"residue":140},{"from_index":1987,"to_index":131,"sum":409432,"residue":140}],"minimal_cycle":[140],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":140,"start_interval_clock_positions":[131,1059],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-132","shape":"Equilateral triangle","alpha_indices":[132,1060,1988],"clock_positions":[132,1060,1988],"native_values":[496,33,33],"rotation_degrees":17.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[496,33,33],"beta":{"interval_sums":[446762,431020,409722],"interval_residues":[430,430,430],"display_cycle":[430,430,430],"intervals":[{"from_index":132,"to_index":1060,"sum":446762,"residue":430},{"from_index":1060,"to_index":1988,"sum":431020,"residue":430},{"from_index":1988,"to_index":132,"sum":409722,"residue":430}],"minimal_cycle":[430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[132,1060],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-133","shape":"Equilateral triangle","alpha_indices":[133,1061,1989],"clock_positions":[133,1061,1989],"native_values":[819,819,356],"rotation_degrees":17.198275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[819,819,356],"beta":{"interval_sums":[445976,430234,409862],"interval_residues":[570,570,570],"display_cycle":[570,570,570],"intervals":[{"from_index":133,"to_index":1061,"sum":445976,"residue":570},{"from_index":1061,"to_index":1989,"sum":430234,"residue":570},{"from_index":1989,"to_index":133,"sum":409862,"residue":570}],"minimal_cycle":[570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[133,1061],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-134","shape":"Equilateral triangle","alpha_indices":[134,1062,1990],"clock_positions":[134,1062,1990],"native_values":[389,852,389],"rotation_degrees":17.32758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[389,852,389],"beta":{"interval_sums":[446406,429738,410292],"interval_residues":[74,74,74],"display_cycle":[74,74,74],"intervals":[{"from_index":134,"to_index":1062,"sum":446406,"residue":74},{"from_index":1062,"to_index":1990,"sum":429738,"residue":74},{"from_index":1990,"to_index":134,"sum":410292,"residue":74}],"minimal_cycle":[74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[134,1062],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-135","shape":"Equilateral triangle","alpha_indices":[135,1063,1991],"clock_positions":[135,1063,1991],"native_values":[282,745,745],"rotation_degrees":17.45689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[282,745,745],"beta":{"interval_sums":[446976,429382,409936],"interval_residues":[644,644,644],"display_cycle":[644,644,644],"intervals":[{"from_index":135,"to_index":1063,"sum":446976,"residue":644},{"from_index":1063,"to_index":1991,"sum":429382,"residue":644},{"from_index":1991,"to_index":135,"sum":409936,"residue":644}],"minimal_cycle":[644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[135,1063],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-136","shape":"Equilateral triangle","alpha_indices":[136,1064,1992],"clock_positions":[136,1064,1992],"native_values":[671,671,208],"rotation_degrees":17.586206896551722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,671,208],"beta":{"interval_sums":[447050,429456,410010],"interval_residues":[718,718,718],"display_cycle":[718,718,718],"intervals":[{"from_index":136,"to_index":1064,"sum":447050,"residue":718},{"from_index":1064,"to_index":1992,"sum":429456,"residue":718},{"from_index":1992,"to_index":136,"sum":410010,"residue":718}],"minimal_cycle":[718],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":718,"start_interval_clock_positions":[136,1064],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-137","shape":"Equilateral triangle","alpha_indices":[137,1065,1993],"clock_positions":[137,1065,1993],"native_values":[27,490,27],"rotation_degrees":17.71551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,490,27],"beta":{"interval_sums":[447694,429174,410654],"interval_residues":[436,436,436],"display_cycle":[436,436,436],"intervals":[{"from_index":137,"to_index":1065,"sum":447694,"residue":436},{"from_index":1065,"to_index":1993,"sum":429174,"residue":436},{"from_index":1993,"to_index":137,"sum":410654,"residue":436}],"minimal_cycle":[436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[137,1065],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-138","shape":"Equilateral triangle","alpha_indices":[138,1066,1994],"clock_positions":[138,1066,1994],"native_values":[698,235,235],"rotation_degrees":17.844827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[698,235,235],"beta":{"interval_sums":[447486,428966,410446],"interval_residues":[228,228,228],"display_cycle":[228,228,228],"intervals":[{"from_index":138,"to_index":1066,"sum":447486,"residue":228},{"from_index":1066,"to_index":1994,"sum":428966,"residue":228},{"from_index":1994,"to_index":138,"sum":410446,"residue":228}],"minimal_cycle":[228],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[138,1066],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-139","shape":"Equilateral triangle","alpha_indices":[139,1067,1995],"clock_positions":[139,1067,1995],"native_values":[725,725,262],"rotation_degrees":17.974137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[725,725,262],"beta":{"interval_sums":[446996,428476,410882],"interval_residues":[664,664,664],"display_cycle":[664,664,664],"intervals":[{"from_index":139,"to_index":1067,"sum":446996,"residue":664},{"from_index":1067,"to_index":1995,"sum":428476,"residue":664},{"from_index":1995,"to_index":139,"sum":410882,"residue":664}],"minimal_cycle":[664],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":664,"start_interval_clock_positions":[139,1067],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-140","shape":"Equilateral triangle","alpha_indices":[140,1068,1996],"clock_positions":[140,1068,1996],"native_values":[497,34,497],"rotation_degrees":18.103448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[497,34,497],"beta":{"interval_sums":[447224,428704,411110],"interval_residues":[892,892,892],"display_cycle":[892,892,892],"intervals":[{"from_index":140,"to_index":1068,"sum":447224,"residue":892},{"from_index":1068,"to_index":1996,"sum":428704,"residue":892},{"from_index":1996,"to_index":140,"sum":411110,"residue":892}],"minimal_cycle":[892],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":892,"start_interval_clock_positions":[140,1068],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-141","shape":"Equilateral triangle","alpha_indices":[141,1069,1997],"clock_positions":[141,1069,1997],"native_values":[296,759,759],"rotation_degrees":18.232758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[296,759,759],"beta":{"interval_sums":[446962,428442,410848],"interval_residues":[630,630,630],"display_cycle":[630,630,630],"intervals":[{"from_index":141,"to_index":1069,"sum":446962,"residue":630},{"from_index":1069,"to_index":1997,"sum":428442,"residue":630},{"from_index":1997,"to_index":141,"sum":410848,"residue":630}],"minimal_cycle":[630],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":630,"start_interval_clock_positions":[141,1069],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-142","shape":"Equilateral triangle","alpha_indices":[142,1070,1998],"clock_positions":[142,1070,1998],"native_values":[793,793,330],"rotation_degrees":18.362068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[793,793,330],"beta":{"interval_sums":[446928,428408,410814],"interval_residues":[596,596,596],"display_cycle":[596,596,596],"intervals":[{"from_index":142,"to_index":1070,"sum":446928,"residue":596},{"from_index":1070,"to_index":1998,"sum":428408,"residue":596},{"from_index":1998,"to_index":142,"sum":410814,"residue":596}],"minimal_cycle":[596],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":596,"start_interval_clock_positions":[142,1070],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-143","shape":"Equilateral triangle","alpha_indices":[143,1071,1999],"clock_positions":[143,1071,1999],"native_values":[163,626,163],"rotation_degrees":18.49137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[163,626,163],"beta":{"interval_sums":[447558,428112,411444],"interval_residues":[300,300,300],"display_cycle":[300,300,300],"intervals":[{"from_index":143,"to_index":1071,"sum":447558,"residue":300},{"from_index":1071,"to_index":1999,"sum":428112,"residue":300},{"from_index":1999,"to_index":143,"sum":411444,"residue":300}],"minimal_cycle":[300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":300,"start_interval_clock_positions":[143,1071],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-144","shape":"Equilateral triangle","alpha_indices":[144,1072,2000],"clock_positions":[144,1072,2000],"native_values":[30,493,493],"rotation_degrees":18.620689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[30,493,493],"beta":{"interval_sums":[448154,427782,411114],"interval_residues":[896,896,896],"display_cycle":[896,896,896],"intervals":[{"from_index":144,"to_index":1072,"sum":448154,"residue":896},{"from_index":1072,"to_index":2000,"sum":427782,"residue":896},{"from_index":2000,"to_index":144,"sum":411114,"residue":896}],"minimal_cycle":[896],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":896,"start_interval_clock_positions":[144,1072],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-145","shape":"Equilateral triangle","alpha_indices":[145,1073,2001],"clock_positions":[145,1073,2001],"native_values":[193,193,656],"rotation_degrees":18.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,193,656],"beta":{"interval_sums":[448454,428082,410488],"interval_residues":[270,270,270],"display_cycle":[270,270,270],"intervals":[{"from_index":145,"to_index":1073,"sum":448454,"residue":270},{"from_index":1073,"to_index":2001,"sum":428082,"residue":270},{"from_index":2001,"to_index":145,"sum":410488,"residue":270}],"minimal_cycle":[270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":270,"start_interval_clock_positions":[145,1073],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-146","shape":"Equilateral triangle","alpha_indices":[146,1074,2002],"clock_positions":[146,1074,2002],"native_values":[223,686,223],"rotation_degrees":18.879310344827587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,686,223],"beta":{"interval_sums":[448424,428052,410458],"interval_residues":[240,240,240],"display_cycle":[240,240,240],"intervals":[{"from_index":146,"to_index":1074,"sum":448424,"residue":240},{"from_index":1074,"to_index":2002,"sum":428052,"residue":240},{"from_index":2002,"to_index":146,"sum":410458,"residue":240}],"minimal_cycle":[240],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[146,1074],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-147","shape":"Equilateral triangle","alpha_indices":[147,1075,2003],"clock_positions":[147,1075,2003],"native_values":[416,879,879],"rotation_degrees":19.00862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[416,879,879],"beta":{"interval_sums":[448694,427396,409802],"interval_residues":[510,510,510],"display_cycle":[510,510,510],"intervals":[{"from_index":147,"to_index":1075,"sum":448694,"residue":510},{"from_index":1075,"to_index":2003,"sum":427396,"residue":510},{"from_index":2003,"to_index":147,"sum":409802,"residue":510}],"minimal_cycle":[510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[147,1075],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-148","shape":"Equilateral triangle","alpha_indices":[148,1076,2004],"clock_positions":[148,1076,2004],"native_values":[639,639,176],"rotation_degrees":19.137931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[639,639,176],"beta":{"interval_sums":[448934,427636,410042],"interval_residues":[750,750,750],"display_cycle":[750,750,750],"intervals":[{"from_index":148,"to_index":1076,"sum":448934,"residue":750},{"from_index":1076,"to_index":2004,"sum":427636,"residue":750},{"from_index":2004,"to_index":148,"sum":410042,"residue":750}],"minimal_cycle":[750],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":750,"start_interval_clock_positions":[148,1076],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-149","shape":"Equilateral triangle","alpha_indices":[149,1077,2005],"clock_positions":[149,1077,2005],"native_values":[129,592,129],"rotation_degrees":19.267241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[129,592,129],"beta":{"interval_sums":[449444,427220,410552],"interval_residues":[334,334,334],"display_cycle":[334,334,334],"intervals":[{"from_index":149,"to_index":1077,"sum":449444,"residue":334},{"from_index":1077,"to_index":2005,"sum":427220,"residue":334},{"from_index":2005,"to_index":149,"sum":410552,"residue":334}],"minimal_cycle":[334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[149,1077],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-150","shape":"Equilateral triangle","alpha_indices":[150,1078,2006],"clock_positions":[150,1078,2006],"native_values":[768,305,305],"rotation_degrees":19.396551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[768,305,305],"beta":{"interval_sums":[449268,427044,410376],"interval_residues":[158,158,158],"display_cycle":[158,158,158],"intervals":[{"from_index":150,"to_index":1078,"sum":449268,"residue":158},{"from_index":1078,"to_index":2006,"sum":427044,"residue":158},{"from_index":2006,"to_index":150,"sum":410376,"residue":158}],"minimal_cycle":[158],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":158,"start_interval_clock_positions":[150,1078],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-151","shape":"Equilateral triangle","alpha_indices":[151,1079,2007],"clock_positions":[151,1079,2007],"native_values":[897,897,434],"rotation_degrees":19.525862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[897,897,434],"beta":{"interval_sums":[448676,426452,410710],"interval_residues":[492,492,492],"display_cycle":[492,492,492],"intervals":[{"from_index":151,"to_index":1079,"sum":448676,"residue":492},{"from_index":1079,"to_index":2007,"sum":426452,"residue":492},{"from_index":2007,"to_index":151,"sum":410710,"residue":492}],"minimal_cycle":[492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":492,"start_interval_clock_positions":[151,1079],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-152","shape":"Equilateral triangle","alpha_indices":[152,1080,2008],"clock_positions":[152,1080,2008],"native_values":[739,276,739],"rotation_degrees":19.655172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[739,276,739],"beta":{"interval_sums":[448834,426610,410868],"interval_residues":[650,650,650],"display_cycle":[650,650,650],"intervals":[{"from_index":152,"to_index":1080,"sum":448834,"residue":650},{"from_index":1080,"to_index":2008,"sum":426610,"residue":650},{"from_index":2008,"to_index":152,"sum":410868,"residue":650}],"minimal_cycle":[650],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":650,"start_interval_clock_positions":[152,1080],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-153","shape":"Equilateral triangle","alpha_indices":[153,1081,2009],"clock_positions":[153,1081,2009],"native_values":[710,247,247],"rotation_degrees":19.78448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[710,247,247],"beta":{"interval_sums":[448400,427102,411360],"interval_residues":[216,216,216],"display_cycle":[216,216,216],"intervals":[{"from_index":153,"to_index":1081,"sum":448400,"residue":216},{"from_index":1081,"to_index":2009,"sum":427102,"residue":216},{"from_index":2009,"to_index":153,"sum":411360,"residue":216}],"minimal_cycle":[216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[153,1081],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-154","shape":"Equilateral triangle","alpha_indices":[154,1082,2010],"clock_positions":[154,1082,2010],"native_values":[523,523,60],"rotation_degrees":19.913793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,523,60],"beta":{"interval_sums":[448124,426826,412010],"interval_residues":[866,866,866],"display_cycle":[866,866,866],"intervals":[{"from_index":154,"to_index":1082,"sum":448124,"residue":866},{"from_index":1082,"to_index":2010,"sum":426826,"residue":866},{"from_index":2010,"to_index":154,"sum":412010,"residue":866}],"minimal_cycle":[866],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":866,"start_interval_clock_positions":[154,1082],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-155","shape":"Equilateral triangle","alpha_indices":[155,1083,2011],"clock_positions":[155,1083,2011],"native_values":[307,770,307],"rotation_degrees":20.04310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,770,307],"beta":{"interval_sums":[448340,426116,412226],"interval_residues":[156,156,156],"display_cycle":[156,156,156],"intervals":[{"from_index":155,"to_index":1083,"sum":448340,"residue":156},{"from_index":1083,"to_index":2011,"sum":426116,"residue":156},{"from_index":2011,"to_index":155,"sum":412226,"residue":156}],"minimal_cycle":[156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[155,1083],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-156","shape":"Equilateral triangle","alpha_indices":[156,1084,2012],"clock_positions":[156,1084,2012],"native_values":[830,367,367],"rotation_degrees":20.17241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[830,367,367],"beta":{"interval_sums":[448280,426056,412166],"interval_residues":[96,96,96],"display_cycle":[96,96,96],"intervals":[{"from_index":156,"to_index":1084,"sum":448280,"residue":96},{"from_index":1084,"to_index":2012,"sum":426056,"residue":96},{"from_index":2012,"to_index":156,"sum":412166,"residue":96}],"minimal_cycle":[96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[156,1084],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-157","shape":"Equilateral triangle","alpha_indices":[157,1085,2013],"clock_positions":[157,1085,2013],"native_values":[211,211,674],"rotation_degrees":20.301724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,211,674],"beta":{"interval_sums":[448436,426212,412322],"interval_residues":[252,252,252],"display_cycle":[252,252,252],"intervals":[{"from_index":157,"to_index":1085,"sum":448436,"residue":252},{"from_index":1085,"to_index":2013,"sum":426212,"residue":252},{"from_index":2013,"to_index":157,"sum":412322,"residue":252}],"minimal_cycle":[252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":252,"start_interval_clock_positions":[157,1085],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-158","shape":"Equilateral triangle","alpha_indices":[158,1086,2014],"clock_positions":[158,1086,2014],"native_values":[115,578,115],"rotation_degrees":20.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,578,115],"beta":{"interval_sums":[448532,426308,412418],"interval_residues":[348,348,348],"display_cycle":[348,348,348],"intervals":[{"from_index":158,"to_index":1086,"sum":448532,"residue":348},{"from_index":1086,"to_index":2014,"sum":426308,"residue":348},{"from_index":2014,"to_index":158,"sum":412418,"residue":348}],"minimal_cycle":[348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[158,1086],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-159","shape":"Equilateral triangle","alpha_indices":[159,1087,2015],"clock_positions":[159,1087,2015],"native_values":[326,789,789],"rotation_degrees":20.560344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[326,789,789],"beta":{"interval_sums":[448784,425634,411744],"interval_residues":[600,600,600],"display_cycle":[600,600,600],"intervals":[{"from_index":159,"to_index":1087,"sum":448784,"residue":600},{"from_index":1087,"to_index":2015,"sum":425634,"residue":600},{"from_index":2015,"to_index":159,"sum":411744,"residue":600}],"minimal_cycle":[600],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":600,"start_interval_clock_positions":[159,1087],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-160","shape":"Equilateral triangle","alpha_indices":[160,1088,2016],"clock_positions":[160,1088,2016],"native_values":[441,441,904],"rotation_degrees":20.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,441,904],"beta":{"interval_sums":[449132,425982,411166],"interval_residues":[22,22,22],"display_cycle":[22,22,22],"intervals":[{"from_index":160,"to_index":1088,"sum":449132,"residue":22},{"from_index":1088,"to_index":2016,"sum":425982,"residue":22},{"from_index":2016,"to_index":160,"sum":411166,"residue":22}],"minimal_cycle":[22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":22,"start_interval_clock_positions":[160,1088],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-161","shape":"Equilateral triangle","alpha_indices":[161,1089,2017],"clock_positions":[161,1089,2017],"native_values":[767,304,767],"rotation_degrees":20.81896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[767,304,767],"beta":{"interval_sums":[448806,426582,410840],"interval_residues":[622,622,622],"display_cycle":[622,622,622],"intervals":[{"from_index":161,"to_index":1089,"sum":448806,"residue":622},{"from_index":1089,"to_index":2017,"sum":426582,"residue":622},{"from_index":2017,"to_index":161,"sum":410840,"residue":622}],"minimal_cycle":[622],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":622,"start_interval_clock_positions":[161,1089],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-162","shape":"Equilateral triangle","alpha_indices":[162,1090,2018],"clock_positions":[162,1090,2018],"native_values":[282,745,745],"rotation_degrees":20.948275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[282,745,745],"beta":{"interval_sums":[448828,426604,410862],"interval_residues":[644,644,644],"display_cycle":[644,644,644],"intervals":[{"from_index":162,"to_index":1090,"sum":448828,"residue":644},{"from_index":1090,"to_index":2018,"sum":426604,"residue":644},{"from_index":2018,"to_index":162,"sum":410862,"residue":644}],"minimal_cycle":[644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[162,1090],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-163","shape":"Equilateral triangle","alpha_indices":[163,1091,2019],"clock_positions":[163,1091,2019],"native_values":[123,123,586],"rotation_degrees":21.07758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,123,586],"beta":{"interval_sums":[449450,427226,410558],"interval_residues":[340,340,340],"display_cycle":[340,340,340],"intervals":[{"from_index":163,"to_index":1091,"sum":449450,"residue":340},{"from_index":1091,"to_index":2019,"sum":427226,"residue":340},{"from_index":2019,"to_index":163,"sum":410558,"residue":340}],"minimal_cycle":[340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":340,"start_interval_clock_positions":[163,1091],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-164","shape":"Equilateral triangle","alpha_indices":[164,1092,2020],"clock_positions":[164,1092,2020],"native_values":[405,868,405],"rotation_degrees":21.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,868,405],"beta":{"interval_sums":[449168,426944,410276],"interval_residues":[58,58,58],"display_cycle":[58,58,58],"intervals":[{"from_index":164,"to_index":1092,"sum":449168,"residue":58},{"from_index":1092,"to_index":2020,"sum":426944,"residue":58},{"from_index":2020,"to_index":164,"sum":410276,"residue":58}],"minimal_cycle":[58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[164,1092],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-165","shape":"Equilateral triangle","alpha_indices":[165,1093,2021],"clock_positions":[165,1093,2021],"native_values":[528,65,65],"rotation_degrees":21.336206896551722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[528,65,65],"beta":{"interval_sums":[449508,427284,410616],"interval_residues":[398,398,398],"display_cycle":[398,398,398],"intervals":[{"from_index":165,"to_index":1093,"sum":449508,"residue":398},{"from_index":1093,"to_index":2021,"sum":427284,"residue":398},{"from_index":2021,"to_index":165,"sum":410616,"residue":398}],"minimal_cycle":[398],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":398,"start_interval_clock_positions":[165,1093],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-166","shape":"Equilateral triangle","alpha_indices":[166,1094,2022],"clock_positions":[166,1094,2022],"native_values":[7,7,470],"rotation_degrees":21.46551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[7,7,470],"beta":{"interval_sums":[449566,427342,410674],"interval_residues":[456,456,456],"display_cycle":[456,456,456],"intervals":[{"from_index":166,"to_index":1094,"sum":449566,"residue":456},{"from_index":1094,"to_index":2022,"sum":427342,"residue":456},{"from_index":2022,"to_index":166,"sum":410674,"residue":456}],"minimal_cycle":[456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[166,1094],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-167","shape":"Equilateral triangle","alpha_indices":[167,1095,2023],"clock_positions":[167,1095,2023],"native_values":[535,72,535],"rotation_degrees":21.594827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[535,72,535],"beta":{"interval_sums":[449038,427740,410146],"interval_residues":[854,854,854],"display_cycle":[854,854,854],"intervals":[{"from_index":167,"to_index":1095,"sum":449038,"residue":854},{"from_index":1095,"to_index":2023,"sum":427740,"residue":854},{"from_index":2023,"to_index":167,"sum":410146,"residue":854}],"minimal_cycle":[854],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":854,"start_interval_clock_positions":[167,1095],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-168","shape":"Equilateral triangle","alpha_indices":[168,1096,2024],"clock_positions":[168,1096,2024],"native_values":[542,79,79],"rotation_degrees":21.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[542,79,79],"beta":{"interval_sums":[448568,428196,410602],"interval_residues":[384,384,384],"display_cycle":[384,384,384],"intervals":[{"from_index":168,"to_index":1096,"sum":448568,"residue":384},{"from_index":1096,"to_index":2024,"sum":428196,"residue":384},{"from_index":2024,"to_index":168,"sum":410602,"residue":384}],"minimal_cycle":[384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[168,1096],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-169","shape":"Equilateral triangle","alpha_indices":[169,1097,2025],"clock_positions":[169,1097,2025],"native_values":[151,151,614],"rotation_degrees":21.853448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,151,614],"beta":{"interval_sums":[448496,428124,410530],"interval_residues":[312,312,312],"display_cycle":[312,312,312],"intervals":[{"from_index":169,"to_index":1097,"sum":448496,"residue":312},{"from_index":1097,"to_index":2025,"sum":428124,"residue":312},{"from_index":2025,"to_index":169,"sum":410530,"residue":312}],"minimal_cycle":[312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[169,1097],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-170","shape":"Equilateral triangle","alpha_indices":[170,1098,2026],"clock_positions":[170,1098,2026],"native_values":[693,230,693],"rotation_degrees":21.982758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[693,230,693],"beta":{"interval_sums":[447954,428508,409988],"interval_residues":[696,696,696],"display_cycle":[696,696,696],"intervals":[{"from_index":170,"to_index":1098,"sum":447954,"residue":696},{"from_index":1098,"to_index":2026,"sum":428508,"residue":696},{"from_index":2026,"to_index":170,"sum":409988,"residue":696}],"minimal_cycle":[696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":696,"start_interval_clock_positions":[170,1098],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-171","shape":"Equilateral triangle","alpha_indices":[171,1099,2027],"clock_positions":[171,1099,2027],"native_values":[844,381,381],"rotation_degrees":22.112068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[844,381,381],"beta":{"interval_sums":[447340,428820,410300],"interval_residues":[82,82,82],"display_cycle":[82,82,82],"intervals":[{"from_index":171,"to_index":1099,"sum":447340,"residue":82},{"from_index":1099,"to_index":2027,"sum":428820,"residue":82},{"from_index":2027,"to_index":171,"sum":410300,"residue":82}],"minimal_cycle":[82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[171,1099],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-172","shape":"Equilateral triangle","alpha_indices":[172,1100,2028],"clock_positions":[172,1100,2028],"native_values":[611,611,148],"rotation_degrees":22.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[611,611,148],"beta":{"interval_sums":[447110,428590,410996],"interval_residues":[778,778,778],"display_cycle":[778,778,778],"intervals":[{"from_index":172,"to_index":1100,"sum":447110,"residue":778},{"from_index":1100,"to_index":2028,"sum":428590,"residue":778},{"from_index":2028,"to_index":172,"sum":410996,"residue":778}],"minimal_cycle":[778],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":778,"start_interval_clock_positions":[172,1100],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-173","shape":"Equilateral triangle","alpha_indices":[173,1101,2029],"clock_positions":[173,1101,2029],"native_values":[529,66,529],"rotation_degrees":22.370689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[529,66,529],"beta":{"interval_sums":[447192,428672,411078],"interval_residues":[860,860,860],"display_cycle":[860,860,860],"intervals":[{"from_index":173,"to_index":1101,"sum":447192,"residue":860},{"from_index":1101,"to_index":2029,"sum":428672,"residue":860},{"from_index":2029,"to_index":173,"sum":411078,"residue":860}],"minimal_cycle":[860],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":860,"start_interval_clock_positions":[173,1101],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-174","shape":"Equilateral triangle","alpha_indices":[174,1102,2030],"clock_positions":[174,1102,2030],"native_values":[214,677,677],"rotation_degrees":22.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[214,677,677],"beta":{"interval_sums":[447044,428524,410930],"interval_residues":[712,712,712],"display_cycle":[712,712,712],"intervals":[{"from_index":174,"to_index":1102,"sum":447044,"residue":712},{"from_index":1102,"to_index":2030,"sum":428524,"residue":712},{"from_index":2030,"to_index":174,"sum":410930,"residue":712}],"minimal_cycle":[712],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":712,"start_interval_clock_positions":[174,1102],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-175","shape":"Equilateral triangle","alpha_indices":[175,1103,2031],"clock_positions":[175,1103,2031],"native_values":[743,743,280],"rotation_degrees":22.629310344827587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[743,743,280],"beta":{"interval_sums":[446978,428458,410864],"interval_residues":[646,646,646],"display_cycle":[646,646,646],"intervals":[{"from_index":175,"to_index":1103,"sum":446978,"residue":646},{"from_index":1103,"to_index":2031,"sum":428458,"residue":646},{"from_index":2031,"to_index":175,"sum":410864,"residue":646}],"minimal_cycle":[646],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":646,"start_interval_clock_positions":[175,1103],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-176","shape":"Equilateral triangle","alpha_indices":[176,1104,2032],"clock_positions":[176,1104,2032],"native_values":[31,494,31],"rotation_degrees":22.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,494,31],"beta":{"interval_sums":[447690,428244,411576],"interval_residues":[432,432,432],"display_cycle":[432,432,432],"intervals":[{"from_index":176,"to_index":1104,"sum":447690,"residue":432},{"from_index":1104,"to_index":2032,"sum":428244,"residue":432},{"from_index":2032,"to_index":176,"sum":411576,"residue":432}],"minimal_cycle":[432],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":432,"start_interval_clock_positions":[176,1104],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-177","shape":"Equilateral triangle","alpha_indices":[177,1105,2033],"clock_positions":[177,1105,2033],"native_values":[774,311,311],"rotation_degrees":22.887931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[774,311,311],"beta":{"interval_sums":[447410,427964,411296],"interval_residues":[152,152,152],"display_cycle":[152,152,152],"intervals":[{"from_index":177,"to_index":1105,"sum":447410,"residue":152},{"from_index":1105,"to_index":2033,"sum":427964,"residue":152},{"from_index":2033,"to_index":177,"sum":411296,"residue":152}],"minimal_cycle":[152],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":152,"start_interval_clock_positions":[177,1105],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-178","shape":"Equilateral triangle","alpha_indices":[178,1106,2034],"clock_positions":[178,1106,2034],"native_values":[805,805,342],"rotation_degrees":23.017241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[805,805,342],"beta":{"interval_sums":[446916,427470,411728],"interval_residues":[584,584,584],"display_cycle":[584,584,584],"intervals":[{"from_index":178,"to_index":1106,"sum":446916,"residue":584},{"from_index":1106,"to_index":2034,"sum":427470,"residue":584},{"from_index":2034,"to_index":178,"sum":411728,"residue":584}],"minimal_cycle":[584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[178,1106],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-179","shape":"Equilateral triangle","alpha_indices":[179,1107,2035],"clock_positions":[179,1107,2035],"native_values":[653,190,653],"rotation_degrees":23.146551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,190,653],"beta":{"interval_sums":[447068,427622,411880],"interval_residues":[736,736,736],"display_cycle":[736,736,736],"intervals":[{"from_index":179,"to_index":1107,"sum":447068,"residue":736},{"from_index":1107,"to_index":2035,"sum":427622,"residue":736},{"from_index":2035,"to_index":179,"sum":411880,"residue":736}],"minimal_cycle":[736],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":736,"start_interval_clock_positions":[179,1107],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-180","shape":"Equilateral triangle","alpha_indices":[180,1108,2036],"clock_positions":[180,1108,2036],"native_values":[532,69,69],"rotation_degrees":23.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[532,69,69],"beta":{"interval_sums":[446726,428206,412464],"interval_residues":[394,394,394],"display_cycle":[394,394,394],"intervals":[{"from_index":180,"to_index":1108,"sum":446726,"residue":394},{"from_index":1108,"to_index":2036,"sum":428206,"residue":394},{"from_index":2036,"to_index":180,"sum":412464,"residue":394}],"minimal_cycle":[394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[180,1108],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-181","shape":"Equilateral triangle","alpha_indices":[181,1109,2037],"clock_positions":[181,1109,2037],"native_values":[259,259,722],"rotation_degrees":23.405172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,259,722],"beta":{"interval_sums":[446536,428016,412274],"interval_residues":[204,204,204],"display_cycle":[204,204,204],"intervals":[{"from_index":181,"to_index":1109,"sum":446536,"residue":204},{"from_index":1109,"to_index":2037,"sum":428016,"residue":204},{"from_index":2037,"to_index":181,"sum":412274,"residue":204}],"minimal_cycle":[204],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":204,"start_interval_clock_positions":[181,1109],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-182","shape":"Equilateral triangle","alpha_indices":[182,1110,2038],"clock_positions":[182,1110,2038],"native_values":[791,328,791],"rotation_degrees":23.53448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[791,328,791],"beta":{"interval_sums":[446004,428410,411742],"interval_residues":[598,598,598],"display_cycle":[598,598,598],"intervals":[{"from_index":182,"to_index":1110,"sum":446004,"residue":598},{"from_index":1110,"to_index":2038,"sum":428410,"residue":598},{"from_index":2038,"to_index":182,"sum":411742,"residue":598}],"minimal_cycle":[598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":598,"start_interval_clock_positions":[182,1110],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-183","shape":"Equilateral triangle","alpha_indices":[183,1111,2039],"clock_positions":[183,1111,2039],"native_values":[124,587,587],"rotation_degrees":23.663793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[124,587,587],"beta":{"interval_sums":[446208,428614,411946],"interval_residues":[802,802,802],"display_cycle":[802,802,802],"intervals":[{"from_index":183,"to_index":1111,"sum":446208,"residue":802},{"from_index":1111,"to_index":2039,"sum":428614,"residue":802},{"from_index":2039,"to_index":183,"sum":411946,"residue":802}],"minimal_cycle":[802],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":802,"start_interval_clock_positions":[183,1111],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-184","shape":"Equilateral triangle","alpha_indices":[184,1112,2040],"clock_positions":[184,1112,2040],"native_values":[915,915,452],"rotation_degrees":23.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[915,915,452],"beta":{"interval_sums":[445880,428286,411618],"interval_residues":[474,474,474],"display_cycle":[474,474,474],"intervals":[{"from_index":184,"to_index":1112,"sum":445880,"residue":474},{"from_index":1112,"to_index":2040,"sum":428286,"residue":474},{"from_index":2040,"to_index":184,"sum":411618,"residue":474}],"minimal_cycle":[474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[184,1112],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-185","shape":"Equilateral triangle","alpha_indices":[185,1113,2041],"clock_positions":[185,1113,2041],"native_values":[113,576,113],"rotation_degrees":23.92241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[113,576,113],"beta":{"interval_sums":[446682,428162,412420],"interval_residues":[350,350,350],"display_cycle":[350,350,350],"intervals":[{"from_index":185,"to_index":1113,"sum":446682,"residue":350},{"from_index":1113,"to_index":2041,"sum":428162,"residue":350},{"from_index":2041,"to_index":185,"sum":412420,"residue":350}],"minimal_cycle":[350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[185,1113],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-186","shape":"Equilateral triangle","alpha_indices":[186,1114,2042],"clock_positions":[186,1114,2042],"native_values":[102,565,565],"rotation_degrees":24.051724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[102,565,565],"beta":{"interval_sums":[447156,427710,411968],"interval_residues":[824,824,824],"display_cycle":[824,824,824],"intervals":[{"from_index":186,"to_index":1114,"sum":447156,"residue":824},{"from_index":1114,"to_index":2042,"sum":427710,"residue":824},{"from_index":2042,"to_index":186,"sum":411968,"residue":824}],"minimal_cycle":[824],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":824,"start_interval_clock_positions":[186,1114],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-187","shape":"Equilateral triangle","alpha_indices":[187,1115,2043],"clock_positions":[187,1115,2043],"native_values":[215,215,678],"rotation_degrees":24.18103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[215,215,678],"beta":{"interval_sums":[447506,428060,411392],"interval_residues":[248,248,248],"display_cycle":[248,248,248],"intervals":[{"from_index":187,"to_index":1115,"sum":447506,"residue":248},{"from_index":1115,"to_index":2043,"sum":428060,"residue":248},{"from_index":2043,"to_index":187,"sum":411392,"residue":248}],"minimal_cycle":[248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[187,1115],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-188","shape":"Equilateral triangle","alpha_indices":[188,1116,2044],"clock_positions":[188,1116,2044],"native_values":[317,780,317],"rotation_degrees":24.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,780,317],"beta":{"interval_sums":[447404,427958,411290],"interval_residues":[146,146,146],"display_cycle":[146,146,146],"intervals":[{"from_index":188,"to_index":1116,"sum":447404,"residue":146},{"from_index":1116,"to_index":2044,"sum":427958,"residue":146},{"from_index":2044,"to_index":188,"sum":411290,"residue":146}],"minimal_cycle":[146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[188,1116],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-189","shape":"Equilateral triangle","alpha_indices":[189,1117,2045],"clock_positions":[189,1117,2045],"native_values":[532,69,69],"rotation_degrees":24.439655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[532,69,69],"beta":{"interval_sums":[447652,428206,411538],"interval_residues":[394,394,394],"display_cycle":[394,394,394],"intervals":[{"from_index":189,"to_index":1117,"sum":447652,"residue":394},{"from_index":1117,"to_index":2045,"sum":428206,"residue":394},{"from_index":2045,"to_index":189,"sum":411538,"residue":394}],"minimal_cycle":[394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[189,1117],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-190","shape":"Equilateral triangle","alpha_indices":[190,1118,2046],"clock_positions":[190,1118,2046],"native_values":[849,849,386],"rotation_degrees":24.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[849,849,386],"beta":{"interval_sums":[446872,427426,411684],"interval_residues":[540,540,540],"display_cycle":[540,540,540],"intervals":[{"from_index":190,"to_index":1118,"sum":446872,"residue":540},{"from_index":1118,"to_index":2046,"sum":427426,"residue":540},{"from_index":2046,"to_index":190,"sum":411684,"residue":540}],"minimal_cycle":[540],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":540,"start_interval_clock_positions":[190,1118],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-191","shape":"Equilateral triangle","alpha_indices":[191,1119,2047],"clock_positions":[191,1119,2047],"native_values":[455,918,455],"rotation_degrees":24.698275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[455,918,455],"beta":{"interval_sums":[447266,426894,412078],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":191,"to_index":1119,"sum":447266,"residue":8},{"from_index":1119,"to_index":2047,"sum":426894,"residue":8},{"from_index":2047,"to_index":191,"sum":412078,"residue":8}],"minimal_cycle":[8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[191,1119],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-192","shape":"Equilateral triangle","alpha_indices":[192,1120,2048],"clock_positions":[192,1120,2048],"native_values":[378,841,841],"rotation_degrees":24.82758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[378,841,841],"beta":{"interval_sums":[447806,426508,411692],"interval_residues":[548,548,548],"display_cycle":[548,548,548],"intervals":[{"from_index":192,"to_index":1120,"sum":447806,"residue":548},{"from_index":1120,"to_index":2048,"sum":426508,"residue":548},{"from_index":2048,"to_index":192,"sum":411692,"residue":548}],"minimal_cycle":[548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":548,"start_interval_clock_positions":[192,1120],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-193","shape":"Equilateral triangle","alpha_indices":[193,1121,2049],"clock_positions":[193,1121,2049],"native_values":[833,833,370],"rotation_degrees":24.95689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[833,833,370],"beta":{"interval_sums":[447814,426516,411700],"interval_residues":[556,556,556],"display_cycle":[556,556,556],"intervals":[{"from_index":193,"to_index":1121,"sum":447814,"residue":556},{"from_index":1121,"to_index":2049,"sum":426516,"residue":556},{"from_index":2049,"to_index":193,"sum":411700,"residue":556}],"minimal_cycle":[556],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":556,"start_interval_clock_positions":[193,1121],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-194","shape":"Equilateral triangle","alpha_indices":[194,1122,2050],"clock_positions":[194,1122,2050],"native_values":[285,748,285],"rotation_degrees":25.086206896551722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[285,748,285],"beta":{"interval_sums":[448362,426138,412248],"interval_residues":[178,178,178],"display_cycle":[178,178,178],"intervals":[{"from_index":194,"to_index":1122,"sum":448362,"residue":178},{"from_index":1122,"to_index":2050,"sum":426138,"residue":178},{"from_index":2050,"to_index":194,"sum":412248,"residue":178}],"minimal_cycle":[178],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":178,"start_interval_clock_positions":[194,1122],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-195","shape":"Equilateral triangle","alpha_indices":[195,1123,2051],"clock_positions":[195,1123,2051],"native_values":[192,655,655],"rotation_degrees":25.21551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[192,655,655],"beta":{"interval_sums":[448918,425768,411878],"interval_residues":[734,734,734],"display_cycle":[734,734,734],"intervals":[{"from_index":195,"to_index":1123,"sum":448918,"residue":734},{"from_index":1123,"to_index":2051,"sum":425768,"residue":734},{"from_index":2051,"to_index":195,"sum":411878,"residue":734}],"minimal_cycle":[734],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":734,"start_interval_clock_positions":[195,1123],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-196","shape":"Equilateral triangle","alpha_indices":[196,1124,2052],"clock_positions":[196,1124,2052],"native_values":[477,477,14],"rotation_degrees":25.344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,477,14],"beta":{"interval_sums":[449096,425946,412056],"interval_residues":[912,912,912],"display_cycle":[912,912,912],"intervals":[{"from_index":196,"to_index":1124,"sum":449096,"residue":912},{"from_index":1124,"to_index":2052,"sum":425946,"residue":912},{"from_index":2052,"to_index":196,"sum":412056,"residue":912}],"minimal_cycle":[912],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":912,"start_interval_clock_positions":[196,1124],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-197","shape":"Equilateral triangle","alpha_indices":[197,1125,2053],"clock_positions":[197,1125,2053],"native_values":[669,206,669],"rotation_degrees":25.474137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,206,669],"beta":{"interval_sums":[448904,425754,411864],"interval_residues":[720,720,720],"display_cycle":[720,720,720],"intervals":[{"from_index":197,"to_index":1125,"sum":448904,"residue":720},{"from_index":1125,"to_index":2053,"sum":425754,"residue":720},{"from_index":2053,"to_index":197,"sum":411864,"residue":720}],"minimal_cycle":[720],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":720,"start_interval_clock_positions":[197,1125],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-198","shape":"Equilateral triangle","alpha_indices":[198,1126,2054],"clock_positions":[198,1126,2054],"native_values":[220,683,683],"rotation_degrees":25.603448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[220,683,683],"beta":{"interval_sums":[448890,425740,411850],"interval_residues":[706,706,706],"display_cycle":[706,706,706],"intervals":[{"from_index":198,"to_index":1126,"sum":448890,"residue":706},{"from_index":1126,"to_index":2054,"sum":425740,"residue":706},{"from_index":2054,"to_index":198,"sum":411850,"residue":706}],"minimal_cycle":[706],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":706,"start_interval_clock_positions":[198,1126],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-199","shape":"Equilateral triangle","alpha_indices":[199,1127,2055],"clock_positions":[199,1127,2055],"native_values":[889,889,426],"rotation_degrees":25.732758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[889,889,426],"beta":{"interval_sums":[448684,425534,411644],"interval_residues":[500,500,500],"display_cycle":[500,500,500],"intervals":[{"from_index":199,"to_index":1127,"sum":448684,"residue":500},{"from_index":1127,"to_index":2055,"sum":425534,"residue":500},{"from_index":2055,"to_index":199,"sum":411644,"residue":500}],"minimal_cycle":[500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[199,1127],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-200","shape":"Equilateral triangle","alpha_indices":[200,1128,2056],"clock_positions":[200,1128,2056],"native_values":[183,646,183],"rotation_degrees":25.862068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[183,646,183],"beta":{"interval_sums":[449390,425314,412350],"interval_residues":[280,280,280],"display_cycle":[280,280,280],"intervals":[{"from_index":200,"to_index":1128,"sum":449390,"residue":280},{"from_index":1128,"to_index":2056,"sum":425314,"residue":280},{"from_index":2056,"to_index":200,"sum":412350,"residue":280}],"minimal_cycle":[280],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":280,"start_interval_clock_positions":[200,1128],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-201","shape":"Equilateral triangle","alpha_indices":[201,1129,2057],"clock_positions":[201,1129,2057],"native_values":[146,609,609],"rotation_degrees":25.99137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[146,609,609],"beta":{"interval_sums":[449890,424888,411924],"interval_residues":[780,780,780],"display_cycle":[780,780,780],"intervals":[{"from_index":201,"to_index":1129,"sum":449890,"residue":780},{"from_index":1129,"to_index":2057,"sum":424888,"residue":780},{"from_index":2057,"to_index":201,"sum":411924,"residue":780}],"minimal_cycle":[780],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":780,"start_interval_clock_positions":[201,1129],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-202","shape":"Equilateral triangle","alpha_indices":[202,1130,2058],"clock_positions":[202,1130,2058],"native_values":[329,329,792],"rotation_degrees":26.120689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[329,329,792],"beta":{"interval_sums":[450170,425168,411278],"interval_residues":[134,134,134],"display_cycle":[134,134,134],"intervals":[{"from_index":202,"to_index":1130,"sum":450170,"residue":134},{"from_index":1130,"to_index":2058,"sum":425168,"residue":134},{"from_index":2058,"to_index":202,"sum":411278,"residue":134}],"minimal_cycle":[134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[202,1130],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-203","shape":"Equilateral triangle","alpha_indices":[203,1131,2059],"clock_positions":[203,1131,2059],"native_values":[475,12,475],"rotation_degrees":26.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[475,12,475],"beta":{"interval_sums":[450024,425948,411132],"interval_residues":[914,914,914],"display_cycle":[914,914,914],"intervals":[{"from_index":203,"to_index":1131,"sum":450024,"residue":914},{"from_index":1131,"to_index":2059,"sum":425948,"residue":914},{"from_index":2059,"to_index":203,"sum":411132,"residue":914}],"minimal_cycle":[914],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":914,"start_interval_clock_positions":[203,1131],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-204","shape":"Equilateral triangle","alpha_indices":[204,1132,2060],"clock_positions":[204,1132,2060],"native_values":[804,341,341],"rotation_degrees":26.379310344827587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[804,341,341],"beta":{"interval_sums":[449232,426082,411266],"interval_residues":[122,122,122],"display_cycle":[122,122,122],"intervals":[{"from_index":204,"to_index":1132,"sum":449232,"residue":122},{"from_index":1132,"to_index":2060,"sum":426082,"residue":122},{"from_index":2060,"to_index":204,"sum":411266,"residue":122}],"minimal_cycle":[122],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[204,1132],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-205","shape":"Equilateral triangle","alpha_indices":[205,1133,2061],"clock_positions":[205,1133,2061],"native_values":[353,353,816],"rotation_degrees":26.50862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[353,353,816],"beta":{"interval_sums":[449220,426070,411254],"interval_residues":[110,110,110],"display_cycle":[110,110,110],"intervals":[{"from_index":205,"to_index":1133,"sum":449220,"residue":110},{"from_index":1133,"to_index":2061,"sum":426070,"residue":110},{"from_index":2061,"to_index":205,"sum":411254,"residue":110}],"minimal_cycle":[110],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":110,"start_interval_clock_positions":[205,1133],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-206","shape":"Equilateral triangle","alpha_indices":[206,1134,2062],"clock_positions":[206,1134,2062],"native_values":[231,694,231],"rotation_degrees":26.637931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[231,694,231],"beta":{"interval_sums":[449342,426192,411376],"interval_residues":[232,232,232],"display_cycle":[232,232,232],"intervals":[{"from_index":206,"to_index":1134,"sum":449342,"residue":232},{"from_index":1134,"to_index":2062,"sum":426192,"residue":232},{"from_index":2062,"to_index":206,"sum":411376,"residue":232}],"minimal_cycle":[232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[206,1134],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-207","shape":"Equilateral triangle","alpha_indices":[207,1135,2063],"clock_positions":[207,1135,2063],"native_values":[584,121,121],"rotation_degrees":26.767241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[584,121,121],"beta":{"interval_sums":[449452,426302,411486],"interval_residues":[342,342,342],"display_cycle":[342,342,342],"intervals":[{"from_index":207,"to_index":1135,"sum":449452,"residue":342},{"from_index":1135,"to_index":2063,"sum":426302,"residue":342},{"from_index":2063,"to_index":207,"sum":411486,"residue":342}],"minimal_cycle":[342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":342,"start_interval_clock_positions":[207,1135],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-208","shape":"Equilateral triangle","alpha_indices":[208,1136,2064],"clock_positions":[208,1136,2064],"native_values":[815,815,352],"rotation_degrees":26.896551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[815,815,352],"beta":{"interval_sums":[448758,425608,411718],"interval_residues":[574,574,574],"display_cycle":[574,574,574],"intervals":[{"from_index":208,"to_index":1136,"sum":448758,"residue":574},{"from_index":1136,"to_index":2064,"sum":425608,"residue":574},{"from_index":2064,"to_index":208,"sum":411718,"residue":574}],"minimal_cycle":[574],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[208,1136],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-209","shape":"Equilateral triangle","alpha_indices":[209,1137,2065],"clock_positions":[209,1137,2065],"native_values":[473,10,473],"rotation_degrees":27.025862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,10,473],"beta":{"interval_sums":[449100,425950,412060],"interval_residues":[916,916,916],"display_cycle":[916,916,916],"intervals":[{"from_index":209,"to_index":1137,"sum":449100,"residue":916},{"from_index":1137,"to_index":2065,"sum":425950,"residue":916},{"from_index":2065,"to_index":209,"sum":412060,"residue":916}],"minimal_cycle":[916],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":916,"start_interval_clock_positions":[209,1137],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-210","shape":"Equilateral triangle","alpha_indices":[210,1138,2066],"clock_positions":[210,1138,2066],"native_values":[362,825,825],"rotation_degrees":27.155172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[362,825,825],"beta":{"interval_sums":[448748,425598,411708],"interval_residues":[564,564,564],"display_cycle":[564,564,564],"intervals":[{"from_index":210,"to_index":1138,"sum":448748,"residue":564},{"from_index":1138,"to_index":2066,"sum":425598,"residue":564},{"from_index":2066,"to_index":210,"sum":411708,"residue":564}],"minimal_cycle":[564],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":564,"start_interval_clock_positions":[210,1138],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-211","shape":"Equilateral triangle","alpha_indices":[211,1139,2067],"clock_positions":[211,1139,2067],"native_values":[835,835,372],"rotation_degrees":27.28448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[835,835,372],"beta":{"interval_sums":[448738,425588,411698],"interval_residues":[554,554,554],"display_cycle":[554,554,554],"intervals":[{"from_index":211,"to_index":1139,"sum":448738,"residue":554},{"from_index":1139,"to_index":2067,"sum":425588,"residue":554},{"from_index":2067,"to_index":211,"sum":411698,"residue":554}],"minimal_cycle":[554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[211,1139],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-212","shape":"Equilateral triangle","alpha_indices":[212,1140,2068],"clock_positions":[212,1140,2068],"native_values":[271,734,271],"rotation_degrees":27.413793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[271,734,271],"beta":{"interval_sums":[449302,425226,412262],"interval_residues":[192,192,192],"display_cycle":[192,192,192],"intervals":[{"from_index":212,"to_index":1140,"sum":449302,"residue":192},{"from_index":1140,"to_index":2068,"sum":425226,"residue":192},{"from_index":2068,"to_index":212,"sum":412262,"residue":192}],"minimal_cycle":[192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[212,1140],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-213","shape":"Equilateral triangle","alpha_indices":[213,1141,2069],"clock_positions":[213,1141,2069],"native_values":[180,643,643],"rotation_degrees":27.54310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,643,643],"beta":{"interval_sums":[449856,424854,411890],"interval_residues":[746,746,746],"display_cycle":[746,746,746],"intervals":[{"from_index":213,"to_index":1141,"sum":449856,"residue":746},{"from_index":1141,"to_index":2069,"sum":424854,"residue":746},{"from_index":2069,"to_index":213,"sum":411890,"residue":746}],"minimal_cycle":[746],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":746,"start_interval_clock_positions":[213,1141],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-214","shape":"Equilateral triangle","alpha_indices":[214,1142,2070],"clock_positions":[214,1142,2070],"native_values":[451,451,914],"rotation_degrees":27.67241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,451,914],"beta":{"interval_sums":[450048,425046,411156],"interval_residues":[12,12,12],"display_cycle":[12,12,12],"intervals":[{"from_index":214,"to_index":1142,"sum":450048,"residue":12},{"from_index":1142,"to_index":2070,"sum":425046,"residue":12},{"from_index":2070,"to_index":214,"sum":411156,"residue":12}],"minimal_cycle":[12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":12,"start_interval_clock_positions":[214,1142],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-215","shape":"Equilateral triangle","alpha_indices":[215,1143,2071],"clock_positions":[215,1143,2071],"native_values":[631,168,631],"rotation_degrees":27.801724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[631,168,631],"beta":{"interval_sums":[449868,425792,410976],"interval_residues":[758,758,758],"display_cycle":[758,758,758],"intervals":[{"from_index":215,"to_index":1143,"sum":449868,"residue":758},{"from_index":1143,"to_index":2071,"sum":425792,"residue":758},{"from_index":2071,"to_index":215,"sum":410976,"residue":758}],"minimal_cycle":[758],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":758,"start_interval_clock_positions":[215,1143],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-216","shape":"Equilateral triangle","alpha_indices":[216,1144,2072],"clock_positions":[216,1144,2072],"native_values":[156,619,619],"rotation_degrees":27.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[156,619,619],"beta":{"interval_sums":[449880,425804,410988],"interval_residues":[770,770,770],"display_cycle":[770,770,770],"intervals":[{"from_index":216,"to_index":1144,"sum":449880,"residue":770},{"from_index":1144,"to_index":2072,"sum":425804,"residue":770},{"from_index":2072,"to_index":216,"sum":410988,"residue":770}],"minimal_cycle":[770],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":770,"start_interval_clock_positions":[216,1144],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-217","shape":"Equilateral triangle","alpha_indices":[217,1145,2073],"clock_positions":[217,1145,2073],"native_values":[787,787,324],"rotation_degrees":28.060344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[787,787,324],"beta":{"interval_sums":[449712,425636,410820],"interval_residues":[602,602,602],"display_cycle":[602,602,602],"intervals":[{"from_index":217,"to_index":1145,"sum":449712,"residue":602},{"from_index":1145,"to_index":2073,"sum":425636,"residue":602},{"from_index":2073,"to_index":217,"sum":410820,"residue":602}],"minimal_cycle":[602],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":602,"start_interval_clock_positions":[217,1145],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-218","shape":"Equilateral triangle","alpha_indices":[218,1146,2074],"clock_positions":[218,1146,2074],"native_values":[17,480,17],"rotation_degrees":28.189655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,480,17],"beta":{"interval_sums":[450482,425480,411590],"interval_residues":[446,446,446],"display_cycle":[446,446,446],"intervals":[{"from_index":218,"to_index":1146,"sum":450482,"residue":446},{"from_index":1146,"to_index":2074,"sum":425480,"residue":446},{"from_index":2074,"to_index":218,"sum":411590,"residue":446}],"minimal_cycle":[446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[218,1146],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-219","shape":"Equilateral triangle","alpha_indices":[219,1147,2075],"clock_positions":[219,1147,2075],"native_values":[804,341,341],"rotation_degrees":28.31896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[804,341,341],"beta":{"interval_sums":[450158,425156,411266],"interval_residues":[122,122,122],"display_cycle":[122,122,122],"intervals":[{"from_index":219,"to_index":1147,"sum":450158,"residue":122},{"from_index":1147,"to_index":2075,"sum":425156,"residue":122},{"from_index":2075,"to_index":219,"sum":411266,"residue":122}],"minimal_cycle":[122],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[219,1147],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-220","shape":"Equilateral triangle","alpha_indices":[220,1148,2076],"clock_positions":[220,1148,2076],"native_values":[821,821,358],"rotation_degrees":28.448275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[821,821,358],"beta":{"interval_sums":[449678,424676,411712],"interval_residues":[568,568,568],"display_cycle":[568,568,568],"intervals":[{"from_index":220,"to_index":1148,"sum":449678,"residue":568},{"from_index":1148,"to_index":2076,"sum":424676,"residue":568},{"from_index":2076,"to_index":220,"sum":411712,"residue":568}],"minimal_cycle":[568],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":568,"start_interval_clock_positions":[220,1148],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-221","shape":"Equilateral triangle","alpha_indices":[221,1149,2077],"clock_positions":[221,1149,2077],"native_values":[699,236,699],"rotation_degrees":28.57758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[699,236,699],"beta":{"interval_sums":[449800,424798,411834],"interval_residues":[690,690,690],"display_cycle":[690,690,690],"intervals":[{"from_index":221,"to_index":1149,"sum":449800,"residue":690},{"from_index":1149,"to_index":2077,"sum":424798,"residue":690},{"from_index":2077,"to_index":221,"sum":411834,"residue":690}],"minimal_cycle":[690],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":690,"start_interval_clock_positions":[221,1149],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-222","shape":"Equilateral triangle","alpha_indices":[222,1150,2078],"clock_positions":[222,1150,2078],"native_values":[594,131,131],"rotation_degrees":28.70689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[594,131,131],"beta":{"interval_sums":[449442,425366,412402],"interval_residues":[332,332,332],"display_cycle":[332,332,332],"intervals":[{"from_index":222,"to_index":1150,"sum":449442,"residue":332},{"from_index":1150,"to_index":2078,"sum":425366,"residue":332},{"from_index":2078,"to_index":222,"sum":412402,"residue":332}],"minimal_cycle":[332],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[222,1150],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-223","shape":"Equilateral triangle","alpha_indices":[223,1151,2079],"clock_positions":[223,1151,2079],"native_values":[367,367,830],"rotation_degrees":28.836206896551722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[367,367,830],"beta":{"interval_sums":[449206,425130,412166],"interval_residues":[96,96,96],"display_cycle":[96,96,96],"intervals":[{"from_index":223,"to_index":1151,"sum":449206,"residue":96},{"from_index":1151,"to_index":2079,"sum":425130,"residue":96},{"from_index":2079,"to_index":223,"sum":412166,"residue":96}],"minimal_cycle":[96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[223,1151],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-224","shape":"Equilateral triangle","alpha_indices":[224,1152,2080],"clock_positions":[224,1152,2080],"native_values":[35,498,35],"rotation_degrees":28.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[35,498,35],"beta":{"interval_sums":[449538,425462,412498],"interval_residues":[428,428,428],"display_cycle":[428,428,428],"intervals":[{"from_index":224,"to_index":1152,"sum":449538,"residue":428},{"from_index":1152,"to_index":2080,"sum":425462,"residue":428},{"from_index":2080,"to_index":224,"sum":412498,"residue":428}],"minimal_cycle":[428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[224,1152],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-225","shape":"Equilateral triangle","alpha_indices":[225,1153,2081],"clock_positions":[225,1153,2081],"native_values":[402,865,865],"rotation_degrees":29.094827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[402,865,865],"beta":{"interval_sums":[449634,424632,411668],"interval_residues":[524,524,524],"display_cycle":[524,524,524],"intervals":[{"from_index":225,"to_index":1153,"sum":449634,"residue":524},{"from_index":1153,"to_index":2081,"sum":424632,"residue":524},{"from_index":2081,"to_index":225,"sum":411668,"residue":524}],"minimal_cycle":[524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[225,1153],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-226","shape":"Equilateral triangle","alpha_indices":[226,1154,2082],"clock_positions":[226,1154,2082],"native_values":[437,437,900],"rotation_degrees":29.224137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[437,437,900],"beta":{"interval_sums":[450062,425060,411170],"interval_residues":[26,26,26],"display_cycle":[26,26,26],"intervals":[{"from_index":226,"to_index":1154,"sum":450062,"residue":26},{"from_index":1154,"to_index":2082,"sum":425060,"residue":26},{"from_index":2082,"to_index":226,"sum":411170,"residue":26}],"minimal_cycle":[26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[226,1154],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-227","shape":"Equilateral triangle","alpha_indices":[227,1155,2083],"clock_positions":[227,1155,2083],"native_values":[839,376,839],"rotation_degrees":29.353448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[839,376,839],"beta":{"interval_sums":[449660,425584,410768],"interval_residues":[550,550,550],"display_cycle":[550,550,550],"intervals":[{"from_index":227,"to_index":1155,"sum":449660,"residue":550},{"from_index":1155,"to_index":2083,"sum":425584,"residue":550},{"from_index":2083,"to_index":227,"sum":410768,"residue":550}],"minimal_cycle":[550],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":550,"start_interval_clock_positions":[227,1155],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-228","shape":"Equilateral triangle","alpha_indices":[228,1156,2084],"clock_positions":[228,1156,2084],"native_values":[350,813,813],"rotation_degrees":29.482758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[350,813,813],"beta":{"interval_sums":[449686,425610,410794],"interval_residues":[576,576,576],"display_cycle":[576,576,576],"intervals":[{"from_index":228,"to_index":1156,"sum":449686,"residue":576},{"from_index":1156,"to_index":2084,"sum":425610,"residue":576},{"from_index":2084,"to_index":228,"sum":410794,"residue":576}],"minimal_cycle":[576],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":576,"start_interval_clock_positions":[228,1156],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-229","shape":"Equilateral triangle","alpha_indices":[229,1157,2085],"clock_positions":[229,1157,2085],"native_values":[263,263,726],"rotation_degrees":29.612068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[263,263,726],"beta":{"interval_sums":[450236,426160,410418],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":229,"to_index":1157,"sum":450236,"residue":200},{"from_index":1157,"to_index":2085,"sum":426160,"residue":200},{"from_index":2085,"to_index":229,"sum":410418,"residue":200}],"minimal_cycle":[200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[229,1157],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-230","shape":"Equilateral triangle","alpha_indices":[230,1158,2086],"clock_positions":[230,1158,2086],"native_values":[613,150,613],"rotation_degrees":29.74137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[613,150,613],"beta":{"interval_sums":[449886,426736,410068],"interval_residues":[776,776,776],"display_cycle":[776,776,776],"intervals":[{"from_index":230,"to_index":1158,"sum":449886,"residue":776},{"from_index":1158,"to_index":2086,"sum":426736,"residue":776},{"from_index":2086,"to_index":230,"sum":410068,"residue":776}],"minimal_cycle":[776],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":776,"start_interval_clock_positions":[230,1158],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-231","shape":"Equilateral triangle","alpha_indices":[231,1159,2087],"clock_positions":[231,1159,2087],"native_values":[876,413,413],"rotation_degrees":29.870689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[876,413,413],"beta":{"interval_sums":[449160,426936,410268],"interval_residues":[50,50,50],"display_cycle":[50,50,50],"intervals":[{"from_index":231,"to_index":1159,"sum":449160,"residue":50},{"from_index":1159,"to_index":2087,"sum":426936,"residue":50},{"from_index":2087,"to_index":231,"sum":410268,"residue":50}],"minimal_cycle":[50],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[231,1159],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-232","shape":"Equilateral triangle","alpha_indices":[232,1160,2088],"clock_positions":[232,1160,2088],"native_values":[563,563,100],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[563,563,100],"beta":{"interval_sums":[449010,426786,411044],"interval_residues":[826,826,826],"display_cycle":[826,826,826],"intervals":[{"from_index":232,"to_index":1160,"sum":449010,"residue":826},{"from_index":1160,"to_index":2088,"sum":426786,"residue":826},{"from_index":2088,"to_index":232,"sum":411044,"residue":826}],"minimal_cycle":[826],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":826,"start_interval_clock_positions":[232,1160],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-233","shape":"Equilateral triangle","alpha_indices":[233,1161,2089],"clock_positions":[233,1161,2089],"native_values":[513,50,513],"rotation_degrees":30.129310344827587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,50,513],"beta":{"interval_sums":[449060,426836,411094],"interval_residues":[876,876,876],"display_cycle":[876,876,876],"intervals":[{"from_index":233,"to_index":1161,"sum":449060,"residue":876},{"from_index":1161,"to_index":2089,"sum":426836,"residue":876},{"from_index":2089,"to_index":233,"sum":411094,"residue":876}],"minimal_cycle":[876],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":876,"start_interval_clock_positions":[233,1161],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-234","shape":"Equilateral triangle","alpha_indices":[234,1162,2090],"clock_positions":[234,1162,2090],"native_values":[150,613,613],"rotation_degrees":30.25862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[150,613,613],"beta":{"interval_sums":[448960,426736,410994],"interval_residues":[776,776,776],"display_cycle":[776,776,776],"intervals":[{"from_index":234,"to_index":1162,"sum":448960,"residue":776},{"from_index":1162,"to_index":2090,"sum":426736,"residue":776},{"from_index":2090,"to_index":234,"sum":410994,"residue":776}],"minimal_cycle":[776],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":776,"start_interval_clock_positions":[234,1162],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-235","shape":"Equilateral triangle","alpha_indices":[235,1163,2091],"clock_positions":[235,1163,2091],"native_values":[663,663,200],"rotation_degrees":30.387931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[663,663,200],"beta":{"interval_sums":[448910,426686,410944],"interval_residues":[726,726,726],"display_cycle":[726,726,726],"intervals":[{"from_index":235,"to_index":1163,"sum":448910,"residue":726},{"from_index":1163,"to_index":2091,"sum":426686,"residue":726},{"from_index":2091,"to_index":235,"sum":410944,"residue":726}],"minimal_cycle":[726],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":726,"start_interval_clock_positions":[235,1163],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-236","shape":"Equilateral triangle","alpha_indices":[236,1164,2092],"clock_positions":[236,1164,2092],"native_values":[813,350,813],"rotation_degrees":30.517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[813,350,813],"beta":{"interval_sums":[448760,426536,410794],"interval_residues":[576,576,576],"display_cycle":[576,576,576],"intervals":[{"from_index":236,"to_index":1164,"sum":448760,"residue":576},{"from_index":1164,"to_index":2092,"sum":426536,"residue":576},{"from_index":2092,"to_index":236,"sum":410794,"residue":576}],"minimal_cycle":[576],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":576,"start_interval_clock_positions":[236,1164],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-237","shape":"Equilateral triangle","alpha_indices":[237,1165,2093],"clock_positions":[237,1165,2093],"native_values":[550,87,87],"rotation_degrees":30.646551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[550,87,87],"beta":{"interval_sums":[448560,427262,411520],"interval_residues":[376,376,376],"display_cycle":[376,376,376],"intervals":[{"from_index":237,"to_index":1165,"sum":448560,"residue":376},{"from_index":1165,"to_index":2093,"sum":427262,"residue":376},{"from_index":2093,"to_index":237,"sum":411520,"residue":376}],"minimal_cycle":[376],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":376,"start_interval_clock_positions":[237,1165],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-238","shape":"Equilateral triangle","alpha_indices":[238,1166,2094],"clock_positions":[238,1166,2094],"native_values":[437,437,900],"rotation_degrees":30.775862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[437,437,900],"beta":{"interval_sums":[448210,426912,411170],"interval_residues":[26,26,26],"display_cycle":[26,26,26],"intervals":[{"from_index":238,"to_index":1166,"sum":448210,"residue":26},{"from_index":1166,"to_index":2094,"sum":426912,"residue":26},{"from_index":2094,"to_index":238,"sum":411170,"residue":26}],"minimal_cycle":[26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[238,1166],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-239","shape":"Equilateral triangle","alpha_indices":[239,1167,2095],"clock_positions":[239,1167,2095],"native_values":[61,524,61],"rotation_degrees":30.905172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,524,61],"beta":{"interval_sums":[448586,427288,411546],"interval_residues":[402,402,402],"display_cycle":[402,402,402],"intervals":[{"from_index":239,"to_index":1167,"sum":448586,"residue":402},{"from_index":1167,"to_index":2095,"sum":427288,"residue":402},{"from_index":2095,"to_index":239,"sum":411546,"residue":402}],"minimal_cycle":[402],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[239,1167],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-240","shape":"Equilateral triangle","alpha_indices":[240,1168,2096],"clock_positions":[240,1168,2096],"native_values":[498,35,35],"rotation_degrees":31.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[498,35,35],"beta":{"interval_sums":[448612,427314,411572],"interval_residues":[428,428,428],"display_cycle":[428,428,428],"intervals":[{"from_index":240,"to_index":1168,"sum":448612,"residue":428},{"from_index":1168,"to_index":2096,"sum":427314,"residue":428},{"from_index":2096,"to_index":240,"sum":411572,"residue":428}],"minimal_cycle":[428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[240,1168],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-241","shape":"Equilateral triangle","alpha_indices":[241,1169,2097],"clock_positions":[241,1169,2097],"native_values":[559,559,96],"rotation_degrees":31.163793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[559,559,96],"beta":{"interval_sums":[448088,426790,411974],"interval_residues":[830,830,830],"display_cycle":[830,830,830],"intervals":[{"from_index":241,"to_index":1169,"sum":448088,"residue":830},{"from_index":1169,"to_index":2097,"sum":426790,"residue":830},{"from_index":2097,"to_index":241,"sum":411974,"residue":830}],"minimal_cycle":[830],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":830,"start_interval_clock_positions":[241,1169],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-242","shape":"Equilateral triangle","alpha_indices":[242,1170,2098],"clock_positions":[242,1170,2098],"native_values":[131,594,131],"rotation_degrees":31.29310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,594,131],"beta":{"interval_sums":[448516,426292,412402],"interval_residues":[332,332,332],"display_cycle":[332,332,332],"intervals":[{"from_index":242,"to_index":1170,"sum":448516,"residue":332},{"from_index":1170,"to_index":2098,"sum":426292,"residue":332},{"from_index":2098,"to_index":242,"sum":412402,"residue":332}],"minimal_cycle":[332],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[242,1170],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-243","shape":"Equilateral triangle","alpha_indices":[243,1171,2099],"clock_positions":[243,1171,2099],"native_values":[690,227,227],"rotation_degrees":31.42241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[690,227,227],"beta":{"interval_sums":[448420,426196,412306],"interval_residues":[236,236,236],"display_cycle":[236,236,236],"intervals":[{"from_index":243,"to_index":1171,"sum":448420,"residue":236},{"from_index":1171,"to_index":2099,"sum":426196,"residue":236},{"from_index":2099,"to_index":243,"sum":412306,"residue":236}],"minimal_cycle":[236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[243,1171],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-244","shape":"Equilateral triangle","alpha_indices":[244,1172,2100],"clock_positions":[244,1172,2100],"native_values":[821,821,358],"rotation_degrees":31.551724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[821,821,358],"beta":{"interval_sums":[447826,425602,412638],"interval_residues":[568,568,568],"display_cycle":[568,568,568],"intervals":[{"from_index":244,"to_index":1172,"sum":447826,"residue":568},{"from_index":1172,"to_index":2100,"sum":425602,"residue":568},{"from_index":2100,"to_index":244,"sum":412638,"residue":568}],"minimal_cycle":[568],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":568,"start_interval_clock_positions":[244,1172],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-245","shape":"Equilateral triangle","alpha_indices":[245,1173,2101],"clock_positions":[245,1173,2101],"native_values":[585,122,585],"rotation_degrees":31.68103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[585,122,585],"beta":{"interval_sums":[448062,425838,412874],"interval_residues":[804,804,804],"display_cycle":[804,804,804],"intervals":[{"from_index":245,"to_index":1173,"sum":448062,"residue":804},{"from_index":1173,"to_index":2101,"sum":425838,"residue":804},{"from_index":2101,"to_index":245,"sum":412874,"residue":804}],"minimal_cycle":[804],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":804,"start_interval_clock_positions":[245,1173],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-246","shape":"Equilateral triangle","alpha_indices":[246,1174,2102],"clock_positions":[246,1174,2102],"native_values":[480,17,17],"rotation_degrees":31.810344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[480,17,17],"beta":{"interval_sums":[447704,426406,413442],"interval_residues":[446,446,446],"display_cycle":[446,446,446],"intervals":[{"from_index":246,"to_index":1174,"sum":447704,"residue":446},{"from_index":1174,"to_index":2102,"sum":426406,"residue":446},{"from_index":2102,"to_index":246,"sum":413442,"residue":446}],"minimal_cycle":[446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[246,1174],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-247","shape":"Equilateral triangle","alpha_indices":[247,1175,2103],"clock_positions":[247,1175,2103],"native_values":[139,139,602],"rotation_degrees":31.939655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[139,139,602],"beta":{"interval_sums":[447582,426284,413320],"interval_residues":[324,324,324],"display_cycle":[324,324,324],"intervals":[{"from_index":247,"to_index":1175,"sum":447582,"residue":324},{"from_index":1175,"to_index":2103,"sum":426284,"residue":324},{"from_index":2103,"to_index":247,"sum":413320,"residue":324}],"minimal_cycle":[324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[247,1175],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-248","shape":"Equilateral triangle","alpha_indices":[248,1176,2104],"clock_positions":[248,1176,2104],"native_values":[619,156,619],"rotation_degrees":32.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[619,156,619],"beta":{"interval_sums":[447102,426730,412840],"interval_residues":[770,770,770],"display_cycle":[770,770,770],"intervals":[{"from_index":248,"to_index":1176,"sum":447102,"residue":770},{"from_index":1176,"to_index":2104,"sum":426730,"residue":770},{"from_index":2104,"to_index":248,"sum":412840,"residue":770}],"minimal_cycle":[770],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":770,"start_interval_clock_positions":[248,1176],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-249","shape":"Equilateral triangle","alpha_indices":[249,1177,2105],"clock_positions":[249,1177,2105],"native_values":[758,295,295],"rotation_degrees":32.19827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[758,295,295],"beta":{"interval_sums":[446500,427054,413164],"interval_residues":[168,168,168],"display_cycle":[168,168,168],"intervals":[{"from_index":249,"to_index":1177,"sum":446500,"residue":168},{"from_index":1177,"to_index":2105,"sum":427054,"residue":168},{"from_index":2105,"to_index":249,"sum":413164,"residue":168}],"minimal_cycle":[168],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":168,"start_interval_clock_positions":[249,1177],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-250","shape":"Equilateral triangle","alpha_indices":[250,1178,2106],"clock_positions":[250,1178,2106],"native_values":[451,451,914],"rotation_degrees":32.327586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,451,914],"beta":{"interval_sums":[446344,426898,413008],"interval_residues":[12,12,12],"display_cycle":[12,12,12],"intervals":[{"from_index":250,"to_index":1178,"sum":446344,"residue":12},{"from_index":1178,"to_index":2106,"sum":426898,"residue":12},{"from_index":2106,"to_index":250,"sum":413008,"residue":12}],"minimal_cycle":[12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":12,"start_interval_clock_positions":[250,1178],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-251","shape":"Equilateral triangle","alpha_indices":[251,1179,2107],"clock_positions":[251,1179,2107],"native_values":[283,746,283],"rotation_degrees":32.456896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,746,283],"beta":{"interval_sums":[446512,427066,413176],"interval_residues":[180,180,180],"display_cycle":[180,180,180],"intervals":[{"from_index":251,"to_index":1179,"sum":446512,"residue":180},{"from_index":1179,"to_index":2107,"sum":427066,"residue":180},{"from_index":2107,"to_index":251,"sum":413176,"residue":180}],"minimal_cycle":[180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[251,1179],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-252","shape":"Equilateral triangle","alpha_indices":[252,1180,2108],"clock_positions":[252,1180,2108],"native_values":[734,271,271],"rotation_degrees":32.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[734,271,271],"beta":{"interval_sums":[446524,427078,413188],"interval_residues":[192,192,192],"display_cycle":[192,192,192],"intervals":[{"from_index":252,"to_index":1180,"sum":446524,"residue":192},{"from_index":1180,"to_index":2108,"sum":427078,"residue":192},{"from_index":2108,"to_index":252,"sum":413188,"residue":192}],"minimal_cycle":[192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[252,1180],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-253","shape":"Equilateral triangle","alpha_indices":[253,1181,2109],"clock_positions":[253,1181,2109],"native_values":[91,91,554],"rotation_degrees":32.71551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[91,91,554],"beta":{"interval_sums":[446704,427258,413368],"interval_residues":[372,372,372],"display_cycle":[372,372,372],"intervals":[{"from_index":253,"to_index":1181,"sum":446704,"residue":372},{"from_index":1181,"to_index":2109,"sum":427258,"residue":372},{"from_index":2109,"to_index":253,"sum":413368,"residue":372}],"minimal_cycle":[372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":372,"start_interval_clock_positions":[253,1181],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-254","shape":"Equilateral triangle","alpha_indices":[254,1182,2110],"clock_positions":[254,1182,2110],"native_values":[825,362,825],"rotation_degrees":32.8448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[825,362,825],"beta":{"interval_sums":[445970,427450,412634],"interval_residues":[564,564,564],"display_cycle":[564,564,564],"intervals":[{"from_index":254,"to_index":1182,"sum":445970,"residue":564},{"from_index":1182,"to_index":2110,"sum":427450,"residue":564},{"from_index":2110,"to_index":254,"sum":412634,"residue":564}],"minimal_cycle":[564],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":564,"start_interval_clock_positions":[254,1182],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-255","shape":"Equilateral triangle","alpha_indices":[255,1183,2111],"clock_positions":[255,1183,2111],"native_values":[916,453,453],"rotation_degrees":32.974137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[916,453,453],"beta":{"interval_sums":[445416,427822,413006],"interval_residues":[10,10,10],"display_cycle":[10,10,10],"intervals":[{"from_index":255,"to_index":1183,"sum":445416,"residue":10},{"from_index":1183,"to_index":2111,"sum":427822,"residue":10},{"from_index":2111,"to_index":255,"sum":413006,"residue":10}],"minimal_cycle":[10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":10,"start_interval_clock_positions":[255,1183],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-256","shape":"Equilateral triangle","alpha_indices":[256,1184,2112],"clock_positions":[256,1184,2112],"native_values":[815,815,352],"rotation_degrees":33.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[815,815,352],"beta":{"interval_sums":[445054,427460,413570],"interval_residues":[574,574,574],"display_cycle":[574,574,574],"intervals":[{"from_index":256,"to_index":1184,"sum":445054,"residue":574},{"from_index":1184,"to_index":2112,"sum":427460,"residue":574},{"from_index":2112,"to_index":256,"sum":413570,"residue":574}],"minimal_cycle":[574],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[256,1184],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-257","shape":"Equilateral triangle","alpha_indices":[257,1185,2113],"clock_positions":[257,1185,2113],"native_values":[805,342,805],"rotation_degrees":33.23275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[805,342,805],"beta":{"interval_sums":[445064,427470,413580],"interval_residues":[584,584,584],"display_cycle":[584,584,584],"intervals":[{"from_index":257,"to_index":1185,"sum":445064,"residue":584},{"from_index":1185,"to_index":2113,"sum":427470,"residue":584},{"from_index":2113,"to_index":257,"sum":413580,"residue":584}],"minimal_cycle":[584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[257,1185],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-258","shape":"Equilateral triangle","alpha_indices":[258,1186,2114],"clock_positions":[258,1186,2114],"native_values":[694,231,231],"rotation_degrees":33.36206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[694,231,231],"beta":{"interval_sums":[444712,428044,414154],"interval_residues":[232,232,232],"display_cycle":[232,232,232],"intervals":[{"from_index":258,"to_index":1186,"sum":444712,"residue":232},{"from_index":1186,"to_index":2114,"sum":428044,"residue":232},{"from_index":2114,"to_index":258,"sum":414154,"residue":232}],"minimal_cycle":[232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[258,1186],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-259","shape":"Equilateral triangle","alpha_indices":[259,1187,2115],"clock_positions":[259,1187,2115],"native_values":[573,573,110],"rotation_degrees":33.491379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,573,110],"beta":{"interval_sums":[444370,427702,414738],"interval_residues":[816,816,816],"display_cycle":[816,816,816],"intervals":[{"from_index":259,"to_index":1187,"sum":444370,"residue":816},{"from_index":1187,"to_index":2115,"sum":427702,"residue":816},{"from_index":2115,"to_index":259,"sum":414738,"residue":816}],"minimal_cycle":[816],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":816,"start_interval_clock_positions":[259,1187],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-260","shape":"Equilateral triangle","alpha_indices":[260,1188,2116],"clock_positions":[260,1188,2116],"native_values":[341,804,341],"rotation_degrees":33.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,804,341],"beta":{"interval_sums":[444602,427008,414970],"interval_residues":[122,122,122],"display_cycle":[122,122,122],"intervals":[{"from_index":260,"to_index":1188,"sum":444602,"residue":122},{"from_index":1188,"to_index":2116,"sum":427008,"residue":122},{"from_index":2116,"to_index":260,"sum":414970,"residue":122}],"minimal_cycle":[122],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[260,1188],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-261","shape":"Equilateral triangle","alpha_indices":[261,1189,2117],"clock_positions":[261,1189,2117],"native_values":[914,451,451],"rotation_degrees":33.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[914,451,451],"beta":{"interval_sums":[444492,426898,414860],"interval_residues":[12,12,12],"display_cycle":[12,12,12],"intervals":[{"from_index":261,"to_index":1189,"sum":444492,"residue":12},{"from_index":1189,"to_index":2117,"sum":426898,"residue":12},{"from_index":2117,"to_index":261,"sum":414860,"residue":12}],"minimal_cycle":[12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":12,"start_interval_clock_positions":[261,1189],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-262","shape":"Equilateral triangle","alpha_indices":[262,1190,2118],"clock_positions":[262,1190,2118],"native_values":[329,329,792],"rotation_degrees":33.87931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[329,329,792],"beta":{"interval_sums":[444614,427020,414982],"interval_residues":[134,134,134],"display_cycle":[134,134,134],"intervals":[{"from_index":262,"to_index":1190,"sum":444614,"residue":134},{"from_index":1190,"to_index":2118,"sum":427020,"residue":134},{"from_index":2118,"to_index":262,"sum":414982,"residue":134}],"minimal_cycle":[134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[262,1190],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-263","shape":"Equilateral triangle","alpha_indices":[263,1191,2119],"clock_positions":[263,1191,2119],"native_values":[317,780,317],"rotation_degrees":34.008620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,780,317],"beta":{"interval_sums":[444626,427032,414994],"interval_residues":[146,146,146],"display_cycle":[146,146,146],"intervals":[{"from_index":263,"to_index":1191,"sum":444626,"residue":146},{"from_index":1191,"to_index":2119,"sum":427032,"residue":146},{"from_index":2119,"to_index":263,"sum":414994,"residue":146}],"minimal_cycle":[146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[263,1191],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-264","shape":"Equilateral triangle","alpha_indices":[264,1192,2120],"clock_positions":[264,1192,2120],"native_values":[646,183,183],"rotation_degrees":34.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[646,183,183],"beta":{"interval_sums":[444760,427166,415128],"interval_residues":[280,280,280],"display_cycle":[280,280,280],"intervals":[{"from_index":264,"to_index":1192,"sum":444760,"residue":280},{"from_index":1192,"to_index":2120,"sum":427166,"residue":280},{"from_index":2120,"to_index":264,"sum":415128,"residue":280}],"minimal_cycle":[280],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":280,"start_interval_clock_positions":[264,1192],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-265","shape":"Equilateral triangle","alpha_indices":[265,1193,2121],"clock_positions":[265,1193,2121],"native_values":[37,37,500],"rotation_degrees":34.26724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[37,37,500],"beta":{"interval_sums":[444906,427312,415274],"interval_residues":[426,426,426],"display_cycle":[426,426,426],"intervals":[{"from_index":265,"to_index":1193,"sum":444906,"residue":426},{"from_index":1193,"to_index":2121,"sum":427312,"residue":426},{"from_index":2121,"to_index":265,"sum":415274,"residue":426}],"minimal_cycle":[426],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":426,"start_interval_clock_positions":[265,1193],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-266","shape":"Equilateral triangle","alpha_indices":[266,1194,2122],"clock_positions":[266,1194,2122],"native_values":[683,220,683],"rotation_degrees":34.39655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[683,220,683],"beta":{"interval_sums":[444260,427592,414628],"interval_residues":[706,706,706],"display_cycle":[706,706,706],"intervals":[{"from_index":266,"to_index":1194,"sum":444260,"residue":706},{"from_index":1194,"to_index":2122,"sum":427592,"residue":706},{"from_index":2122,"to_index":266,"sum":414628,"residue":706}],"minimal_cycle":[706],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":706,"start_interval_clock_positions":[266,1194],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-267","shape":"Equilateral triangle","alpha_indices":[267,1195,2123],"clock_positions":[267,1195,2123],"native_values":[720,257,257],"rotation_degrees":34.525862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[720,257,257],"beta":{"interval_sums":[443760,428018,415054],"interval_residues":[206,206,206],"display_cycle":[206,206,206],"intervals":[{"from_index":267,"to_index":1195,"sum":443760,"residue":206},{"from_index":1195,"to_index":2123,"sum":428018,"residue":206},{"from_index":2123,"to_index":267,"sum":415054,"residue":206}],"minimal_cycle":[206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[267,1195],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-268","shape":"Equilateral triangle","alpha_indices":[268,1196,2124],"clock_positions":[268,1196,2124],"native_values":[477,477,14],"rotation_degrees":34.6551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,477,14],"beta":{"interval_sums":[443540,427798,415760],"interval_residues":[912,912,912],"display_cycle":[912,912,912],"intervals":[{"from_index":268,"to_index":1196,"sum":443540,"residue":912},{"from_index":1196,"to_index":2124,"sum":427798,"residue":912},{"from_index":2124,"to_index":268,"sum":415760,"residue":912}],"minimal_cycle":[912],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":912,"start_interval_clock_positions":[268,1196],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-269","shape":"Equilateral triangle","alpha_indices":[269,1197,2125],"clock_positions":[269,1197,2125],"native_values":[271,734,271],"rotation_degrees":34.78448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[271,734,271],"beta":{"interval_sums":[443746,427078,415966],"interval_residues":[192,192,192],"display_cycle":[192,192,192],"intervals":[{"from_index":269,"to_index":1197,"sum":443746,"residue":192},{"from_index":1197,"to_index":2125,"sum":427078,"residue":192},{"from_index":2125,"to_index":269,"sum":415966,"residue":192}],"minimal_cycle":[192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[269,1197],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-270","shape":"Equilateral triangle","alpha_indices":[270,1198,2126],"clock_positions":[270,1198,2126],"native_values":[748,285,285],"rotation_degrees":34.91379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[748,285,285],"beta":{"interval_sums":[443732,427064,415952],"interval_residues":[178,178,178],"display_cycle":[178,178,178],"intervals":[{"from_index":270,"to_index":1198,"sum":443732,"residue":178},{"from_index":1198,"to_index":2126,"sum":427064,"residue":178},{"from_index":2126,"to_index":270,"sum":415952,"residue":178}],"minimal_cycle":[178],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":178,"start_interval_clock_positions":[270,1198],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-271","shape":"Equilateral triangle","alpha_indices":[271,1199,2127],"clock_positions":[271,1199,2127],"native_values":[93,93,556],"rotation_degrees":35.043103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,93,556],"beta":{"interval_sums":[443924,427256,416144],"interval_residues":[370,370,370],"display_cycle":[370,370,370],"intervals":[{"from_index":271,"to_index":1199,"sum":443924,"residue":370},{"from_index":1199,"to_index":2127,"sum":427256,"residue":370},{"from_index":2127,"to_index":271,"sum":416144,"residue":370}],"minimal_cycle":[370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[271,1199],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-272","shape":"Equilateral triangle","alpha_indices":[272,1200,2128],"clock_positions":[272,1200,2128],"native_values":[841,378,841],"rotation_degrees":35.172413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[841,378,841],"beta":{"interval_sums":[443176,427434,415396],"interval_residues":[548,548,548],"display_cycle":[548,548,548],"intervals":[{"from_index":272,"to_index":1200,"sum":443176,"residue":548},{"from_index":1200,"to_index":2128,"sum":427434,"residue":548},{"from_index":2128,"to_index":272,"sum":415396,"residue":548}],"minimal_cycle":[548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":548,"start_interval_clock_positions":[272,1200],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-273","shape":"Equilateral triangle","alpha_indices":[273,1201,2129],"clock_positions":[273,1201,2129],"native_values":[8,471,471],"rotation_degrees":35.30172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,471,471],"beta":{"interval_sums":[443546,427804,415766],"interval_residues":[918,918,918],"display_cycle":[918,918,918],"intervals":[{"from_index":273,"to_index":1201,"sum":443546,"residue":918},{"from_index":1201,"to_index":2129,"sum":427804,"residue":918},{"from_index":2129,"to_index":273,"sum":415766,"residue":918}],"minimal_cycle":[918],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":918,"start_interval_clock_positions":[273,1201],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-274","shape":"Equilateral triangle","alpha_indices":[274,1202,2130],"clock_positions":[274,1202,2130],"native_values":[849,849,386],"rotation_degrees":35.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[849,849,386],"beta":{"interval_sums":[443168,427426,415388],"interval_residues":[540,540,540],"display_cycle":[540,540,540],"intervals":[{"from_index":274,"to_index":1202,"sum":443168,"residue":540},{"from_index":1202,"to_index":2130,"sum":427426,"residue":540},{"from_index":2130,"to_index":274,"sum":415388,"residue":540}],"minimal_cycle":[540],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":540,"start_interval_clock_positions":[274,1202],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-275","shape":"Equilateral triangle","alpha_indices":[275,1203,2131],"clock_positions":[275,1203,2131],"native_values":[857,394,857],"rotation_degrees":35.560344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[857,394,857],"beta":{"interval_sums":[443160,427418,415380],"interval_residues":[532,532,532],"display_cycle":[532,532,532],"intervals":[{"from_index":275,"to_index":1203,"sum":443160,"residue":532},{"from_index":1203,"to_index":2131,"sum":427418,"residue":532},{"from_index":2131,"to_index":275,"sum":415380,"residue":532}],"minimal_cycle":[532],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":532,"start_interval_clock_positions":[275,1203],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-276","shape":"Equilateral triangle","alpha_indices":[276,1204,2132],"clock_positions":[276,1204,2132],"native_values":[780,317,317],"rotation_degrees":35.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[780,317,317],"beta":{"interval_sums":[442774,427958,415920],"interval_residues":[146,146,146],"display_cycle":[146,146,146],"intervals":[{"from_index":276,"to_index":1204,"sum":442774,"residue":146},{"from_index":1204,"to_index":2132,"sum":427958,"residue":146},{"from_index":2132,"to_index":276,"sum":415920,"residue":146}],"minimal_cycle":[146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[276,1204],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-277","shape":"Equilateral triangle","alpha_indices":[277,1205,2133],"clock_positions":[277,1205,2133],"native_values":[711,711,248],"rotation_degrees":35.81896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[711,711,248],"beta":{"interval_sums":[442380,427564,416452],"interval_residues":[678,678,678],"display_cycle":[678,678,678],"intervals":[{"from_index":277,"to_index":1205,"sum":442380,"residue":678},{"from_index":1205,"to_index":2133,"sum":427564,"residue":678},{"from_index":2133,"to_index":277,"sum":416452,"residue":678}],"minimal_cycle":[678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[277,1205],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-278","shape":"Equilateral triangle","alpha_indices":[278,1206,2134],"clock_positions":[278,1206,2134],"native_values":[565,102,565],"rotation_degrees":35.94827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,102,565],"beta":{"interval_sums":[442526,427710,416598],"interval_residues":[824,824,824],"display_cycle":[824,824,824],"intervals":[{"from_index":278,"to_index":1206,"sum":442526,"residue":824},{"from_index":1206,"to_index":2134,"sum":427710,"residue":824},{"from_index":2134,"to_index":278,"sum":416598,"residue":824}],"minimal_cycle":[824],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":824,"start_interval_clock_positions":[278,1206],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-279","shape":"Equilateral triangle","alpha_indices":[279,1207,2135],"clock_positions":[279,1207,2135],"native_values":[350,813,813],"rotation_degrees":36.077586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[350,813,813],"beta":{"interval_sums":[442278,427462,416350],"interval_residues":[576,576,576],"display_cycle":[576,576,576],"intervals":[{"from_index":279,"to_index":1207,"sum":442278,"residue":576},{"from_index":1207,"to_index":2135,"sum":427462,"residue":576},{"from_index":2135,"to_index":279,"sum":416350,"residue":576}],"minimal_cycle":[576],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":576,"start_interval_clock_positions":[279,1207],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-280","shape":"Equilateral triangle","alpha_indices":[280,1208,2136],"clock_positions":[280,1208,2136],"native_values":[915,915,452],"rotation_degrees":36.206896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[915,915,452],"beta":{"interval_sums":[442176,427360,416248],"interval_residues":[474,474,474],"display_cycle":[474,474,474],"intervals":[{"from_index":280,"to_index":1208,"sum":442176,"residue":474},{"from_index":1208,"to_index":2136,"sum":427360,"residue":474},{"from_index":2136,"to_index":280,"sum":416248,"residue":474}],"minimal_cycle":[474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[280,1208],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-281","shape":"Equilateral triangle","alpha_indices":[281,1209,2137],"clock_positions":[281,1209,2137],"native_values":[339,802,339],"rotation_degrees":36.33620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[339,802,339],"beta":{"interval_sums":[442752,427010,416824],"interval_residues":[124,124,124],"display_cycle":[124,124,124],"intervals":[{"from_index":281,"to_index":1209,"sum":442752,"residue":124},{"from_index":1209,"to_index":2137,"sum":427010,"residue":124},{"from_index":2137,"to_index":281,"sum":416824,"residue":124}],"minimal_cycle":[124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[281,1209],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-282","shape":"Equilateral triangle","alpha_indices":[282,1210,2138],"clock_positions":[282,1210,2138],"native_values":[328,791,791],"rotation_degrees":36.46551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[328,791,791],"beta":{"interval_sums":[443226,426558,416372],"interval_residues":[598,598,598],"display_cycle":[598,598,598],"intervals":[{"from_index":282,"to_index":1210,"sum":443226,"residue":598},{"from_index":1210,"to_index":2138,"sum":426558,"residue":598},{"from_index":2138,"to_index":282,"sum":416372,"residue":598}],"minimal_cycle":[598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":598,"start_interval_clock_positions":[282,1210],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-283","shape":"Equilateral triangle","alpha_indices":[283,1211,2139],"clock_positions":[283,1211,2139],"native_values":[667,667,204],"rotation_degrees":36.5948275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[667,667,204],"beta":{"interval_sums":[443350,426682,416496],"interval_residues":[722,722,722],"display_cycle":[722,722,722],"intervals":[{"from_index":283,"to_index":1211,"sum":443350,"residue":722},{"from_index":1211,"to_index":2139,"sum":426682,"residue":722},{"from_index":2139,"to_index":283,"sum":416496,"residue":722}],"minimal_cycle":[722],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":722,"start_interval_clock_positions":[283,1211],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-284","shape":"Equilateral triangle","alpha_indices":[284,1212,2140],"clock_positions":[284,1212,2140],"native_values":[69,532,69],"rotation_degrees":36.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[69,532,69],"beta":{"interval_sums":[443948,426354,417094],"interval_residues":[394,394,394],"display_cycle":[394,394,394],"intervals":[{"from_index":284,"to_index":1212,"sum":443948,"residue":394},{"from_index":1212,"to_index":2140,"sum":426354,"residue":394},{"from_index":2140,"to_index":284,"sum":417094,"residue":394}],"minimal_cycle":[394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[284,1212],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-285","shape":"Equilateral triangle","alpha_indices":[285,1213,2141],"clock_positions":[285,1213,2141],"native_values":[736,273,273],"rotation_degrees":36.85344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[736,273,273],"beta":{"interval_sums":[443744,426150,416890],"interval_residues":[190,190,190],"display_cycle":[190,190,190],"intervals":[{"from_index":285,"to_index":1213,"sum":443744,"residue":190},{"from_index":1213,"to_index":2141,"sum":426150,"residue":190},{"from_index":2141,"to_index":285,"sum":416890,"residue":190}],"minimal_cycle":[190],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":190,"start_interval_clock_positions":[285,1213],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-286","shape":"Equilateral triangle","alpha_indices":[286,1214,2142],"clock_positions":[286,1214,2142],"native_values":[805,805,342],"rotation_degrees":36.98275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[805,805,342],"beta":{"interval_sums":[443212,425618,417284],"interval_residues":[584,584,584],"display_cycle":[584,584,584],"intervals":[{"from_index":286,"to_index":1214,"sum":443212,"residue":584},{"from_index":1214,"to_index":2142,"sum":425618,"residue":584},{"from_index":2142,"to_index":286,"sum":417284,"residue":584}],"minimal_cycle":[584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[286,1214],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-287","shape":"Equilateral triangle","alpha_indices":[287,1215,2143],"clock_positions":[287,1215,2143],"native_values":[615,152,615],"rotation_degrees":37.11206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[615,152,615],"beta":{"interval_sums":[443402,425808,417474],"interval_residues":[774,774,774],"display_cycle":[774,774,774],"intervals":[{"from_index":287,"to_index":1215,"sum":443402,"residue":774},{"from_index":1215,"to_index":2143,"sum":425808,"residue":774},{"from_index":2143,"to_index":287,"sum":417474,"residue":774}],"minimal_cycle":[774],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":774,"start_interval_clock_positions":[287,1215],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-288","shape":"Equilateral triangle","alpha_indices":[288,1216,2144],"clock_positions":[288,1216,2144],"native_values":[494,31,31],"rotation_degrees":37.241379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[494,31,31],"beta":{"interval_sums":[443060,426392,418058],"interval_residues":[432,432,432],"display_cycle":[432,432,432],"intervals":[{"from_index":288,"to_index":1216,"sum":443060,"residue":432},{"from_index":1216,"to_index":2144,"sum":426392,"residue":432},{"from_index":2144,"to_index":288,"sum":418058,"residue":432}],"minimal_cycle":[432],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":432,"start_interval_clock_positions":[288,1216],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-289","shape":"Equilateral triangle","alpha_indices":[289,1217,2145],"clock_positions":[289,1217,2145],"native_values":[183,183,646],"rotation_degrees":37.37068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[183,183,646],"beta":{"interval_sums":[442908,426240,417906],"interval_residues":[280,280,280],"display_cycle":[280,280,280],"intervals":[{"from_index":289,"to_index":1217,"sum":442908,"residue":280},{"from_index":1217,"to_index":2145,"sum":426240,"residue":280},{"from_index":2145,"to_index":289,"sum":417906,"residue":280}],"minimal_cycle":[280],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":280,"start_interval_clock_positions":[289,1217],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-290","shape":"Equilateral triangle","alpha_indices":[290,1218,2146],"clock_positions":[290,1218,2146],"native_values":[677,214,677],"rotation_degrees":37.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[677,214,677],"beta":{"interval_sums":[442414,426672,417412],"interval_residues":[712,712,712],"display_cycle":[712,712,712],"intervals":[{"from_index":290,"to_index":1218,"sum":442414,"residue":712},{"from_index":1218,"to_index":2146,"sum":426672,"residue":712},{"from_index":2146,"to_index":290,"sum":417412,"residue":712}],"minimal_cycle":[712],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":712,"start_interval_clock_positions":[290,1218],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-291","shape":"Equilateral triangle","alpha_indices":[291,1219,2147],"clock_positions":[291,1219,2147],"native_values":[860,397,397],"rotation_degrees":37.62931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[860,397,397],"beta":{"interval_sums":[441768,426952,417692],"interval_residues":[66,66,66],"display_cycle":[66,66,66],"intervals":[{"from_index":291,"to_index":1219,"sum":441768,"residue":66},{"from_index":1219,"to_index":2147,"sum":426952,"residue":66},{"from_index":2147,"to_index":291,"sum":417692,"residue":66}],"minimal_cycle":[66],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":66,"start_interval_clock_positions":[291,1219],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-292","shape":"Equilateral triangle","alpha_indices":[292,1220,2148],"clock_positions":[292,1220,2148],"native_values":[611,611,148],"rotation_degrees":37.758620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[611,611,148],"beta":{"interval_sums":[441554,426738,418404],"interval_residues":[778,778,778],"display_cycle":[778,778,778],"intervals":[{"from_index":292,"to_index":1220,"sum":441554,"residue":778},{"from_index":1220,"to_index":2148,"sum":426738,"residue":778},{"from_index":2148,"to_index":292,"sum":418404,"residue":778}],"minimal_cycle":[778],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":778,"start_interval_clock_positions":[292,1220],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-293","shape":"Equilateral triangle","alpha_indices":[293,1221,2149],"clock_positions":[293,1221,2149],"native_values":[545,82,545],"rotation_degrees":37.88793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,82,545],"beta":{"interval_sums":[441620,426804,418470],"interval_residues":[844,844,844],"display_cycle":[844,844,844],"intervals":[{"from_index":293,"to_index":1221,"sum":441620,"residue":844},{"from_index":1221,"to_index":2149,"sum":426804,"residue":844},{"from_index":2149,"to_index":293,"sum":418470,"residue":844}],"minimal_cycle":[844],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":844,"start_interval_clock_positions":[293,1221],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-294","shape":"Equilateral triangle","alpha_indices":[294,1222,2150],"clock_positions":[294,1222,2150],"native_values":[230,693,693],"rotation_degrees":38.01724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[230,693,693],"beta":{"interval_sums":[441472,426656,418322],"interval_residues":[696,696,696],"display_cycle":[696,696,696],"intervals":[{"from_index":294,"to_index":1222,"sum":441472,"residue":696},{"from_index":1222,"to_index":2150,"sum":426656,"residue":696},{"from_index":2150,"to_index":294,"sum":418322,"residue":696}],"minimal_cycle":[696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":696,"start_interval_clock_positions":[294,1222],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-295","shape":"Equilateral triangle","alpha_indices":[295,1223,2151],"clock_positions":[295,1223,2151],"native_values":[775,775,312],"rotation_degrees":38.14655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[775,775,312],"beta":{"interval_sums":[441390,426574,418240],"interval_residues":[614,614,614],"display_cycle":[614,614,614],"intervals":[{"from_index":295,"to_index":1223,"sum":441390,"residue":614},{"from_index":1223,"to_index":2151,"sum":426574,"residue":614},{"from_index":2151,"to_index":295,"sum":418240,"residue":614}],"minimal_cycle":[614],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":614,"start_interval_clock_positions":[295,1223],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-296","shape":"Equilateral triangle","alpha_indices":[296,1224,2152],"clock_positions":[296,1224,2152],"native_values":[79,542,79],"rotation_degrees":38.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,542,79],"beta":{"interval_sums":[442086,426344,418936],"interval_residues":[384,384,384],"display_cycle":[384,384,384],"intervals":[{"from_index":296,"to_index":1224,"sum":442086,"residue":384},{"from_index":1224,"to_index":2152,"sum":426344,"residue":384},{"from_index":2152,"to_index":296,"sum":418936,"residue":384}],"minimal_cycle":[384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[296,1224],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-297","shape":"Equilateral triangle","alpha_indices":[297,1225,2153],"clock_positions":[297,1225,2153],"native_values":[854,391,391],"rotation_degrees":38.4051724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[854,391,391],"beta":{"interval_sums":[441774,426032,418624],"interval_residues":[72,72,72],"display_cycle":[72,72,72],"intervals":[{"from_index":297,"to_index":1225,"sum":441774,"residue":72},{"from_index":1225,"to_index":2153,"sum":426032,"residue":72},{"from_index":2153,"to_index":297,"sum":418624,"residue":72}],"minimal_cycle":[72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[297,1225],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-298","shape":"Equilateral triangle","alpha_indices":[298,1226,2154],"clock_positions":[298,1226,2154],"native_values":[7,7,470],"rotation_degrees":38.53448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[7,7,470],"beta":{"interval_sums":[442158,426416,419008],"interval_residues":[456,456,456],"display_cycle":[456,456,456],"intervals":[{"from_index":298,"to_index":1226,"sum":442158,"residue":456},{"from_index":1226,"to_index":2154,"sum":426416,"residue":456},{"from_index":2154,"to_index":298,"sum":419008,"residue":456}],"minimal_cycle":[456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[298,1226],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-299","shape":"Equilateral triangle","alpha_indices":[299,1227,2155],"clock_positions":[299,1227,2155],"native_values":[861,398,861],"rotation_degrees":38.66379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[861,398,861],"beta":{"interval_sums":[441304,426488,418154],"interval_residues":[528,528,528],"display_cycle":[528,528,528],"intervals":[{"from_index":299,"to_index":1227,"sum":441304,"residue":528},{"from_index":1227,"to_index":2155,"sum":426488,"residue":528},{"from_index":2155,"to_index":299,"sum":418154,"residue":528}],"minimal_cycle":[528],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":528,"start_interval_clock_positions":[299,1227],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-300","shape":"Equilateral triangle","alpha_indices":[300,1228,2156],"clock_positions":[300,1228,2156],"native_values":[868,405,405],"rotation_degrees":38.793103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[868,405,405],"beta":{"interval_sums":[440834,426944,418610],"interval_residues":[58,58,58],"display_cycle":[58,58,58],"intervals":[{"from_index":300,"to_index":1228,"sum":440834,"residue":58},{"from_index":1228,"to_index":2156,"sum":426944,"residue":58},{"from_index":2156,"to_index":300,"sum":418610,"residue":58}],"minimal_cycle":[58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[300,1228],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-301","shape":"Equilateral triangle","alpha_indices":[301,1229,2157],"clock_positions":[301,1229,2157],"native_values":[803,803,340],"rotation_degrees":38.922413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[803,803,340],"beta":{"interval_sums":[440436,426546,419138],"interval_residues":[586,586,586],"display_cycle":[586,586,586],"intervals":[{"from_index":301,"to_index":1229,"sum":440436,"residue":586},{"from_index":1229,"to_index":2157,"sum":426546,"residue":586},{"from_index":2157,"to_index":301,"sum":419138,"residue":586}],"minimal_cycle":[586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[301,1229],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-302","shape":"Equilateral triangle","alpha_indices":[302,1230,2158],"clock_positions":[302,1230,2158],"native_values":[745,282,745],"rotation_degrees":39.05172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[745,282,745],"beta":{"interval_sums":[440494,426604,419196],"interval_residues":[644,644,644],"display_cycle":[644,644,644],"intervals":[{"from_index":302,"to_index":1230,"sum":440494,"residue":644},{"from_index":1230,"to_index":2158,"sum":426604,"residue":644},{"from_index":2158,"to_index":302,"sum":419196,"residue":644}],"minimal_cycle":[644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[302,1230],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-303","shape":"Equilateral triangle","alpha_indices":[303,1231,2159],"clock_positions":[303,1231,2159],"native_values":[622,159,159],"rotation_degrees":39.18103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[622,159,159],"beta":{"interval_sums":[440154,427190,419782],"interval_residues":[304,304,304],"display_cycle":[304,304,304],"intervals":[{"from_index":303,"to_index":1231,"sum":440154,"residue":304},{"from_index":1231,"to_index":2159,"sum":427190,"residue":304},{"from_index":2159,"to_index":303,"sum":419782,"residue":304}],"minimal_cycle":[304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":304,"start_interval_clock_positions":[303,1231],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-304","shape":"Equilateral triangle","alpha_indices":[304,1232,2160],"clock_positions":[304,1232,2160],"native_values":[441,441,904],"rotation_degrees":39.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,441,904],"beta":{"interval_sums":[439872,426908,419500],"interval_residues":[22,22,22],"display_cycle":[22,22,22],"intervals":[{"from_index":304,"to_index":1232,"sum":439872,"residue":22},{"from_index":1232,"to_index":2160,"sum":426908,"residue":22},{"from_index":2160,"to_index":304,"sum":419500,"residue":22}],"minimal_cycle":[22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":22,"start_interval_clock_positions":[304,1232],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-305","shape":"Equilateral triangle","alpha_indices":[305,1233,2161],"clock_positions":[305,1233,2161],"native_values":[137,600,137],"rotation_degrees":39.439655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,600,137],"beta":{"interval_sums":[440176,427212,419804],"interval_residues":[326,326,326],"display_cycle":[326,326,326],"intervals":[{"from_index":305,"to_index":1233,"sum":440176,"residue":326},{"from_index":1233,"to_index":2161,"sum":427212,"residue":326},{"from_index":2161,"to_index":305,"sum":419804,"residue":326}],"minimal_cycle":[326],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[305,1233],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-306","shape":"Equilateral triangle","alpha_indices":[306,1234,2162],"clock_positions":[306,1234,2162],"native_values":[578,115,115],"rotation_degrees":39.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[578,115,115],"beta":{"interval_sums":[440198,427234,419826],"interval_residues":[348,348,348],"display_cycle":[348,348,348],"intervals":[{"from_index":306,"to_index":1234,"sum":440198,"residue":348},{"from_index":1234,"to_index":2162,"sum":427234,"residue":348},{"from_index":2162,"to_index":306,"sum":419826,"residue":348}],"minimal_cycle":[348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[306,1234],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-307","shape":"Equilateral triangle","alpha_indices":[307,1235,2163],"clock_positions":[307,1235,2163],"native_values":[715,715,252],"rotation_degrees":39.69827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[715,715,252],"beta":{"interval_sums":[439598,426634,420152],"interval_residues":[674,674,674],"display_cycle":[674,674,674],"intervals":[{"from_index":307,"to_index":1235,"sum":439598,"residue":674},{"from_index":1235,"to_index":2163,"sum":426634,"residue":674},{"from_index":2163,"to_index":307,"sum":420152,"residue":674}],"minimal_cycle":[674],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":674,"start_interval_clock_positions":[307,1235],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-308","shape":"Equilateral triangle","alpha_indices":[308,1236,2164],"clock_positions":[308,1236,2164],"native_values":[367,830,367],"rotation_degrees":39.827586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[367,830,367],"beta":{"interval_sums":[439946,426056,420500],"interval_residues":[96,96,96],"display_cycle":[96,96,96],"intervals":[{"from_index":308,"to_index":1236,"sum":439946,"residue":96},{"from_index":1236,"to_index":2164,"sum":426056,"residue":96},{"from_index":2164,"to_index":308,"sum":420500,"residue":96}],"minimal_cycle":[96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[308,1236],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-309","shape":"Equilateral triangle","alpha_indices":[309,1237,2165],"clock_positions":[309,1237,2165],"native_values":[156,619,619],"rotation_degrees":39.956896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[156,619,619],"beta":{"interval_sums":[440620,425804,420248],"interval_residues":[770,770,770],"display_cycle":[770,770,770],"intervals":[{"from_index":309,"to_index":1237,"sum":440620,"residue":770},{"from_index":1237,"to_index":2165,"sum":425804,"residue":770},{"from_index":2165,"to_index":309,"sum":420248,"residue":770}],"minimal_cycle":[770],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":770,"start_interval_clock_positions":[309,1237],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-310","shape":"Equilateral triangle","alpha_indices":[310,1238,2166],"clock_positions":[310,1238,2166],"native_values":[523,523,60],"rotation_degrees":40.08620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,523,60],"beta":{"interval_sums":[440716,425900,420344],"interval_residues":[866,866,866],"display_cycle":[866,866,866],"intervals":[{"from_index":310,"to_index":1238,"sum":440716,"residue":866},{"from_index":1238,"to_index":2166,"sum":425900,"residue":866},{"from_index":2166,"to_index":310,"sum":420344,"residue":866}],"minimal_cycle":[866],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":866,"start_interval_clock_positions":[310,1238],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-311","shape":"Equilateral triangle","alpha_indices":[311,1239,2167],"clock_positions":[311,1239,2167],"native_values":[679,216,679],"rotation_degrees":40.21551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[679,216,679],"beta":{"interval_sums":[440560,425744,420188],"interval_residues":[710,710,710],"display_cycle":[710,710,710],"intervals":[{"from_index":311,"to_index":1239,"sum":440560,"residue":710},{"from_index":1239,"to_index":2167,"sum":425744,"residue":710},{"from_index":2167,"to_index":311,"sum":420188,"residue":710}],"minimal_cycle":[710],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":710,"start_interval_clock_positions":[311,1239],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-312","shape":"Equilateral triangle","alpha_indices":[312,1240,2168],"clock_positions":[312,1240,2168],"native_values":[276,739,739],"rotation_degrees":40.3448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[276,739,739],"beta":{"interval_sums":[440500,425684,420128],"interval_residues":[650,650,650],"display_cycle":[650,650,650],"intervals":[{"from_index":312,"to_index":1240,"sum":440500,"residue":650},{"from_index":1240,"to_index":2168,"sum":425684,"residue":650},{"from_index":2168,"to_index":312,"sum":420128,"residue":650}],"minimal_cycle":[650],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":650,"start_interval_clock_positions":[312,1240],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-313","shape":"Equilateral triangle","alpha_indices":[313,1241,2169],"clock_positions":[313,1241,2169],"native_values":[29,29,492],"rotation_degrees":40.474137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,29,492],"beta":{"interval_sums":[441210,426394,419912],"interval_residues":[434,434,434],"display_cycle":[434,434,434],"intervals":[{"from_index":313,"to_index":1241,"sum":441210,"residue":434},{"from_index":1241,"to_index":2169,"sum":426394,"residue":434},{"from_index":2169,"to_index":313,"sum":419912,"residue":434}],"minimal_cycle":[434],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[313,1241],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-314","shape":"Equilateral triangle","alpha_indices":[314,1242,2170],"clock_positions":[314,1242,2170],"native_values":[305,768,305],"rotation_degrees":40.60344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,768,305],"beta":{"interval_sums":[440934,426118,419636],"interval_residues":[158,158,158],"display_cycle":[158,158,158],"intervals":[{"from_index":314,"to_index":1242,"sum":440934,"residue":158},{"from_index":1242,"to_index":2170,"sum":426118,"residue":158},{"from_index":2170,"to_index":314,"sum":419636,"residue":158}],"minimal_cycle":[158],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":158,"start_interval_clock_positions":[314,1242],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-315","shape":"Equilateral triangle","alpha_indices":[315,1243,2171],"clock_positions":[315,1243,2171],"native_values":[334,797,797],"rotation_degrees":40.73275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[334,797,797],"beta":{"interval_sums":[441368,425626,419144],"interval_residues":[592,592,592],"display_cycle":[592,592,592],"intervals":[{"from_index":315,"to_index":1243,"sum":441368,"residue":592},{"from_index":1243,"to_index":2171,"sum":425626,"residue":592},{"from_index":2171,"to_index":315,"sum":419144,"residue":592}],"minimal_cycle":[592],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":592,"start_interval_clock_positions":[315,1243],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-316","shape":"Equilateral triangle","alpha_indices":[316,1244,2172],"clock_positions":[316,1244,2172],"native_values":[639,639,176],"rotation_degrees":40.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[639,639,176],"beta":{"interval_sums":[441526,425784,419302],"interval_residues":[750,750,750],"display_cycle":[750,750,750],"intervals":[{"from_index":316,"to_index":1244,"sum":441526,"residue":750},{"from_index":1244,"to_index":2172,"sum":425784,"residue":750},{"from_index":2172,"to_index":316,"sum":419302,"residue":750}],"minimal_cycle":[750],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":750,"start_interval_clock_positions":[316,1244],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-317","shape":"Equilateral triangle","alpha_indices":[317,1245,2173],"clock_positions":[317,1245,2173],"native_values":[47,510,47],"rotation_degrees":40.991379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,510,47],"beta":{"interval_sums":[442118,425450,419894],"interval_residues":[416,416,416],"display_cycle":[416,416,416],"intervals":[{"from_index":317,"to_index":1245,"sum":442118,"residue":416},{"from_index":1245,"to_index":2173,"sum":425450,"residue":416},{"from_index":2173,"to_index":317,"sum":419894,"residue":416}],"minimal_cycle":[416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[317,1245],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-318","shape":"Equilateral triangle","alpha_indices":[318,1246,2174],"clock_positions":[318,1246,2174],"native_values":[686,223,223],"rotation_degrees":41.12068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[686,223,223],"beta":{"interval_sums":[441942,425274,419718],"interval_residues":[240,240,240],"display_cycle":[240,240,240],"intervals":[{"from_index":318,"to_index":1246,"sum":441942,"residue":240},{"from_index":1246,"to_index":2174,"sum":425274,"residue":240},{"from_index":2174,"to_index":318,"sum":419718,"residue":240}],"minimal_cycle":[240],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[318,1246],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-319","shape":"Equilateral triangle","alpha_indices":[319,1247,2175],"clock_positions":[319,1247,2175],"native_values":[733,733,270],"rotation_degrees":41.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[733,733,270],"beta":{"interval_sums":[441432,424764,420134],"interval_residues":[656,656,656],"display_cycle":[656,656,656],"intervals":[{"from_index":319,"to_index":1247,"sum":441432,"residue":656},{"from_index":1247,"to_index":2175,"sum":424764,"residue":656},{"from_index":2175,"to_index":319,"sum":420134,"residue":656}],"minimal_cycle":[656],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":656,"start_interval_clock_positions":[319,1247],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-320","shape":"Equilateral triangle","alpha_indices":[320,1248,2176],"clock_positions":[320,1248,2176],"native_values":[493,30,493],"rotation_degrees":41.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[493,30,493],"beta":{"interval_sums":[441672,425004,420374],"interval_residues":[896,896,896],"display_cycle":[896,896,896],"intervals":[{"from_index":320,"to_index":1248,"sum":441672,"residue":896},{"from_index":1248,"to_index":2176,"sum":425004,"residue":896},{"from_index":2176,"to_index":320,"sum":420374,"residue":896}],"minimal_cycle":[896],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":896,"start_interval_clock_positions":[320,1248],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-321","shape":"Equilateral triangle","alpha_indices":[321,1249,2177],"clock_positions":[321,1249,2177],"native_values":[300,763,763],"rotation_degrees":41.508620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,763,763],"beta":{"interval_sums":[441402,424734,420104],"interval_residues":[626,626,626],"display_cycle":[626,626,626],"intervals":[{"from_index":321,"to_index":1249,"sum":441402,"residue":626},{"from_index":1249,"to_index":2177,"sum":424734,"residue":626},{"from_index":2177,"to_index":321,"sum":420104,"residue":626}],"minimal_cycle":[626],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":626,"start_interval_clock_positions":[321,1249],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-322","shape":"Equilateral triangle","alpha_indices":[322,1250,2178],"clock_positions":[322,1250,2178],"native_values":[793,793,330],"rotation_degrees":41.63793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[793,793,330],"beta":{"interval_sums":[441372,424704,420074],"interval_residues":[596,596,596],"display_cycle":[596,596,596],"intervals":[{"from_index":322,"to_index":1250,"sum":441372,"residue":596},{"from_index":1250,"to_index":2178,"sum":424704,"residue":596},{"from_index":2178,"to_index":322,"sum":420074,"residue":596}],"minimal_cycle":[596],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":596,"start_interval_clock_positions":[322,1250],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-323","shape":"Equilateral triangle","alpha_indices":[323,1251,2179],"clock_positions":[323,1251,2179],"native_values":[167,630,167],"rotation_degrees":41.76724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,630,167],"beta":{"interval_sums":[441998,424404,420700],"interval_residues":[296,296,296],"display_cycle":[296,296,296],"intervals":[{"from_index":323,"to_index":1251,"sum":441998,"residue":296},{"from_index":1251,"to_index":2179,"sum":424404,"residue":296},{"from_index":2179,"to_index":323,"sum":420700,"residue":296}],"minimal_cycle":[296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[323,1251],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-324","shape":"Equilateral triangle","alpha_indices":[324,1252,2180],"clock_positions":[324,1252,2180],"native_values":[34,497,497],"rotation_degrees":41.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,497,497],"beta":{"interval_sums":[442594,424074,420370],"interval_residues":[892,892,892],"display_cycle":[892,892,892],"intervals":[{"from_index":324,"to_index":1252,"sum":442594,"residue":892},{"from_index":1252,"to_index":2180,"sum":424074,"residue":892},{"from_index":2180,"to_index":324,"sum":420370,"residue":892}],"minimal_cycle":[892],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":892,"start_interval_clock_positions":[324,1252],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-325","shape":"Equilateral triangle","alpha_indices":[325,1253,2181],"clock_positions":[325,1253,2181],"native_values":[201,201,664],"rotation_degrees":42.025862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[201,201,664],"beta":{"interval_sums":[442890,424370,419740],"interval_residues":[262,262,262],"display_cycle":[262,262,262],"intervals":[{"from_index":325,"to_index":1253,"sum":442890,"residue":262},{"from_index":1253,"to_index":2181,"sum":424370,"residue":262},{"from_index":2181,"to_index":325,"sum":419740,"residue":262}],"minimal_cycle":[262],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":262,"start_interval_clock_positions":[325,1253],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-326","shape":"Equilateral triangle","alpha_indices":[326,1254,2182],"clock_positions":[326,1254,2182],"native_values":[235,698,235],"rotation_degrees":42.1551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,698,235],"beta":{"interval_sums":[442856,424336,419706],"interval_residues":[228,228,228],"display_cycle":[228,228,228],"intervals":[{"from_index":326,"to_index":1254,"sum":442856,"residue":228},{"from_index":1254,"to_index":2182,"sum":424336,"residue":228},{"from_index":2182,"to_index":326,"sum":419706,"residue":228}],"minimal_cycle":[228],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[326,1254],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-327","shape":"Equilateral triangle","alpha_indices":[327,1255,2183],"clock_positions":[327,1255,2183],"native_values":[436,899,899],"rotation_degrees":42.28448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[436,899,899],"beta":{"interval_sums":[443118,423672,419042],"interval_residues":[490,490,490],"display_cycle":[490,490,490],"intervals":[{"from_index":327,"to_index":1255,"sum":443118,"residue":490},{"from_index":1255,"to_index":2183,"sum":423672,"residue":490},{"from_index":2183,"to_index":327,"sum":419042,"residue":490}],"minimal_cycle":[490],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":490,"start_interval_clock_positions":[327,1255],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-328","shape":"Equilateral triangle","alpha_indices":[328,1256,2184],"clock_positions":[328,1256,2184],"native_values":[671,671,208],"rotation_degrees":42.41379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,671,208],"beta":{"interval_sums":[443346,423900,419270],"interval_residues":[718,718,718],"display_cycle":[718,718,718],"intervals":[{"from_index":328,"to_index":1256,"sum":443346,"residue":718},{"from_index":1256,"to_index":2184,"sum":423900,"residue":718},{"from_index":2184,"to_index":328,"sum":419270,"residue":718}],"minimal_cycle":[718],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":718,"start_interval_clock_positions":[328,1256],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-329","shape":"Equilateral triangle","alpha_indices":[329,1257,2185],"clock_positions":[329,1257,2185],"native_values":[181,644,181],"rotation_degrees":42.543103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,644,181],"beta":{"interval_sums":[443836,423464,419760],"interval_residues":[282,282,282],"display_cycle":[282,282,282],"intervals":[{"from_index":329,"to_index":1257,"sum":443836,"residue":282},{"from_index":1257,"to_index":2185,"sum":423464,"residue":282},{"from_index":2185,"to_index":329,"sum":419760,"residue":282}],"minimal_cycle":[282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":282,"start_interval_clock_positions":[329,1257],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-330","shape":"Equilateral triangle","alpha_indices":[330,1258,2186],"clock_positions":[330,1258,2186],"native_values":[852,389,389],"rotation_degrees":42.672413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[852,389,389],"beta":{"interval_sums":[443628,423256,419552],"interval_residues":[74,74,74],"display_cycle":[74,74,74],"intervals":[{"from_index":330,"to_index":1258,"sum":443628,"residue":74},{"from_index":1258,"to_index":2186,"sum":423256,"residue":74},{"from_index":2186,"to_index":330,"sum":419552,"residue":74}],"minimal_cycle":[74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[330,1258],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-331","shape":"Equilateral triangle","alpha_indices":[331,1259,2187],"clock_positions":[331,1259,2187],"native_values":[107,107,570],"rotation_degrees":42.80172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[107,107,570],"beta":{"interval_sums":[443910,423538,419834],"interval_residues":[356,356,356],"display_cycle":[356,356,356],"intervals":[{"from_index":331,"to_index":1259,"sum":443910,"residue":356},{"from_index":1259,"to_index":2187,"sum":423538,"residue":356},{"from_index":2187,"to_index":331,"sum":419834,"residue":356}],"minimal_cycle":[356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":356,"start_interval_clock_positions":[331,1259],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-332","shape":"Equilateral triangle","alpha_indices":[332,1260,2188],"clock_positions":[332,1260,2188],"native_values":[33,496,33],"rotation_degrees":42.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[33,496,33],"beta":{"interval_sums":[443984,423612,419908],"interval_residues":[430,430,430],"display_cycle":[430,430,430],"intervals":[{"from_index":332,"to_index":1260,"sum":443984,"residue":430},{"from_index":1260,"to_index":2188,"sum":423612,"residue":430},{"from_index":2188,"to_index":332,"sum":419908,"residue":430}],"minimal_cycle":[430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[332,1260],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-333","shape":"Equilateral triangle","alpha_indices":[333,1261,2189],"clock_positions":[333,1261,2189],"native_values":[140,603,603],"rotation_degrees":43.060344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[140,603,603],"beta":{"interval_sums":[444340,423042,419338],"interval_residues":[786,786,786],"display_cycle":[786,786,786],"intervals":[{"from_index":333,"to_index":1261,"sum":444340,"residue":786},{"from_index":1261,"to_index":2189,"sum":423042,"residue":786},{"from_index":2189,"to_index":333,"sum":419338,"residue":786}],"minimal_cycle":[786],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":786,"start_interval_clock_positions":[333,1261],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-334","shape":"Equilateral triangle","alpha_indices":[334,1262,2190],"clock_positions":[334,1262,2190],"native_values":[173,173,636],"rotation_degrees":43.189655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,173,636],"beta":{"interval_sums":[444770,423472,418842],"interval_residues":[290,290,290],"display_cycle":[290,290,290],"intervals":[{"from_index":334,"to_index":1262,"sum":444770,"residue":290},{"from_index":1262,"to_index":2190,"sum":423472,"residue":290},{"from_index":2190,"to_index":334,"sum":418842,"residue":290}],"minimal_cycle":[290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[334,1262],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-335","shape":"Equilateral triangle","alpha_indices":[335,1263,2191],"clock_positions":[335,1263,2191],"native_values":[313,776,313],"rotation_degrees":43.31896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,776,313],"beta":{"interval_sums":[444630,423332,418702],"interval_residues":[150,150,150],"display_cycle":[150,150,150],"intervals":[{"from_index":335,"to_index":1263,"sum":444630,"residue":150},{"from_index":1263,"to_index":2191,"sum":423332,"residue":150},{"from_index":2191,"to_index":335,"sum":418702,"residue":150}],"minimal_cycle":[150],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[335,1263],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-336","shape":"Equilateral triangle","alpha_indices":[336,1264,2192],"clock_positions":[336,1264,2192],"native_values":[486,23,23],"rotation_degrees":43.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[486,23,23],"beta":{"interval_sums":[444920,423622,418992],"interval_residues":[440,440,440],"display_cycle":[440,440,440],"intervals":[{"from_index":336,"to_index":1264,"sum":444920,"residue":440},{"from_index":1264,"to_index":2192,"sum":423622,"residue":440},{"from_index":2192,"to_index":336,"sum":418992,"residue":440}],"minimal_cycle":[440],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[336,1264],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-337","shape":"Equilateral triangle","alpha_indices":[337,1265,2193],"clock_positions":[337,1265,2193],"native_values":[799,799,336],"rotation_degrees":43.577586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[799,799,336],"beta":{"interval_sums":[444144,422846,419142],"interval_residues":[590,590,590],"display_cycle":[590,590,590],"intervals":[{"from_index":337,"to_index":1265,"sum":444144,"residue":590},{"from_index":1265,"to_index":2193,"sum":422846,"residue":590},{"from_index":2193,"to_index":337,"sum":419142,"residue":590}],"minimal_cycle":[590],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":590,"start_interval_clock_positions":[337,1265],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-338","shape":"Equilateral triangle","alpha_indices":[338,1266,2194],"clock_positions":[338,1266,2194],"native_values":[359,822,359],"rotation_degrees":43.706896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,822,359],"beta":{"interval_sums":[444584,422360,419582],"interval_residues":[104,104,104],"display_cycle":[104,104,104],"intervals":[{"from_index":338,"to_index":1266,"sum":444584,"residue":104},{"from_index":1266,"to_index":2194,"sum":422360,"residue":104},{"from_index":2194,"to_index":338,"sum":419582,"residue":104}],"minimal_cycle":[104],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":104,"start_interval_clock_positions":[338,1266],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-339","shape":"Equilateral triangle","alpha_indices":[339,1267,2195],"clock_positions":[339,1267,2195],"native_values":[232,695,695],"rotation_degrees":43.83620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[232,695,695],"beta":{"interval_sums":[445174,422024,419246],"interval_residues":[694,694,694],"display_cycle":[694,694,694],"intervals":[{"from_index":339,"to_index":1267,"sum":445174,"residue":694},{"from_index":1267,"to_index":2195,"sum":422024,"residue":694},{"from_index":2195,"to_index":339,"sum":419246,"residue":694}],"minimal_cycle":[694],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":694,"start_interval_clock_positions":[339,1267],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-340","shape":"Equilateral triangle","alpha_indices":[340,1268,2196],"clock_positions":[340,1268,2196],"native_values":[591,591,128],"rotation_degrees":43.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[591,591,128],"beta":{"interval_sums":[445278,422128,419350],"interval_residues":[798,798,798],"display_cycle":[798,798,798],"intervals":[{"from_index":340,"to_index":1268,"sum":445278,"residue":798},{"from_index":1268,"to_index":2196,"sum":422128,"residue":798},{"from_index":2196,"to_index":340,"sum":419350,"residue":798}],"minimal_cycle":[798],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":798,"start_interval_clock_positions":[340,1268],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-341","shape":"Equilateral triangle","alpha_indices":[341,1269,2197],"clock_positions":[341,1269,2197],"native_values":[823,360,823],"rotation_degrees":44.0948275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[823,360,823],"beta":{"interval_sums":[445046,421896,419118],"interval_residues":[566,566,566],"display_cycle":[566,566,566],"intervals":[{"from_index":341,"to_index":1269,"sum":445046,"residue":566},{"from_index":1269,"to_index":2197,"sum":421896,"residue":566},{"from_index":2197,"to_index":341,"sum":419118,"residue":566}],"minimal_cycle":[566],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":566,"start_interval_clock_positions":[341,1269],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-342","shape":"Equilateral triangle","alpha_indices":[342,1270,2198],"clock_positions":[342,1270,2198],"native_values":[488,25,25],"rotation_degrees":44.224137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[488,25,25],"beta":{"interval_sums":[444918,422694,419916],"interval_residues":[438,438,438],"display_cycle":[438,438,438],"intervals":[{"from_index":342,"to_index":1270,"sum":444918,"residue":438},{"from_index":1270,"to_index":2198,"sum":422694,"residue":438},{"from_index":2198,"to_index":342,"sum":419916,"residue":438}],"minimal_cycle":[438],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":438,"start_interval_clock_positions":[342,1270],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-343","shape":"Equilateral triangle","alpha_indices":[343,1271,2199],"clock_positions":[343,1271,2199],"native_values":[385,385,848],"rotation_degrees":44.35344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[385,385,848],"beta":{"interval_sums":[444558,422334,419556],"interval_residues":[78,78,78],"display_cycle":[78,78,78],"intervals":[{"from_index":343,"to_index":1271,"sum":444558,"residue":78},{"from_index":1271,"to_index":2199,"sum":422334,"residue":78},{"from_index":2199,"to_index":343,"sum":419556,"residue":78}],"minimal_cycle":[78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":78,"start_interval_clock_positions":[343,1271],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-344","shape":"Equilateral triangle","alpha_indices":[344,1272,2200],"clock_positions":[344,1272,2200],"native_values":[873,410,873],"rotation_degrees":44.48275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[873,410,873],"beta":{"interval_sums":[444070,422772,419068],"interval_residues":[516,516,516],"display_cycle":[516,516,516],"intervals":[{"from_index":344,"to_index":1272,"sum":444070,"residue":516},{"from_index":1272,"to_index":2200,"sum":422772,"residue":516},{"from_index":2200,"to_index":344,"sum":419068,"residue":516}],"minimal_cycle":[516],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":516,"start_interval_clock_positions":[344,1272],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-345","shape":"Equilateral triangle","alpha_indices":[345,1273,2201],"clock_positions":[345,1273,2201],"native_values":[332,795,795],"rotation_degrees":44.61206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[332,795,795],"beta":{"interval_sums":[444148,422850,419146],"interval_residues":[594,594,594],"display_cycle":[594,594,594],"intervals":[{"from_index":345,"to_index":1273,"sum":444148,"residue":594},{"from_index":1273,"to_index":2201,"sum":422850,"residue":594},{"from_index":2201,"to_index":345,"sum":419146,"residue":594}],"minimal_cycle":[594],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":594,"start_interval_clock_positions":[345,1273],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-346","shape":"Equilateral triangle","alpha_indices":[346,1274,2202],"clock_positions":[346,1274,2202],"native_values":[279,279,742],"rotation_degrees":44.741379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,279,742],"beta":{"interval_sums":[444664,423366,418736],"interval_residues":[184,184,184],"display_cycle":[184,184,184],"intervals":[{"from_index":346,"to_index":1274,"sum":444664,"residue":184},{"from_index":1274,"to_index":2202,"sum":423366,"residue":184},{"from_index":2202,"to_index":346,"sum":418736,"residue":184}],"minimal_cycle":[184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":184,"start_interval_clock_positions":[346,1274],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-347","shape":"Equilateral triangle","alpha_indices":[347,1275,2203],"clock_positions":[347,1275,2203],"native_values":[611,148,611],"rotation_degrees":44.87068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[611,148,611],"beta":{"interval_sums":[444332,423960,418404],"interval_residues":[778,778,778],"display_cycle":[778,778,778],"intervals":[{"from_index":347,"to_index":1275,"sum":444332,"residue":778},{"from_index":1275,"to_index":2203,"sum":423960,"residue":778},{"from_index":2203,"to_index":347,"sum":418404,"residue":778}],"minimal_cycle":[778],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":778,"start_interval_clock_positions":[347,1275],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-348","shape":"Equilateral triangle","alpha_indices":[348,1276,2204],"clock_positions":[348,1276,2204],"native_values":[890,427,427],"rotation_degrees":45.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[890,427,427],"beta":{"interval_sums":[443590,424144,418588],"interval_residues":[36,36,36],"display_cycle":[36,36,36],"intervals":[{"from_index":348,"to_index":1276,"sum":443590,"residue":36},{"from_index":1276,"to_index":2204,"sum":424144,"residue":36},{"from_index":2204,"to_index":348,"sum":418588,"residue":36}],"minimal_cycle":[36],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[348,1276],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-349","shape":"Equilateral triangle","alpha_indices":[349,1277,2205],"clock_positions":[349,1277,2205],"native_values":[575,575,112],"rotation_degrees":45.12931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[575,575,112],"beta":{"interval_sums":[443442,423996,419366],"interval_residues":[814,814,814],"display_cycle":[814,814,814],"intervals":[{"from_index":349,"to_index":1277,"sum":443442,"residue":814},{"from_index":1277,"to_index":2205,"sum":423996,"residue":814},{"from_index":2205,"to_index":349,"sum":419366,"residue":814}],"minimal_cycle":[814],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":814,"start_interval_clock_positions":[349,1277],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-350","shape":"Equilateral triangle","alpha_indices":[350,1278,2206],"clock_positions":[350,1278,2206],"native_values":[539,76,539],"rotation_degrees":45.258620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[539,76,539],"beta":{"interval_sums":[443478,424032,419402],"interval_residues":[850,850,850],"display_cycle":[850,850,850],"intervals":[{"from_index":350,"to_index":1278,"sum":443478,"residue":850},{"from_index":1278,"to_index":2206,"sum":424032,"residue":850},{"from_index":2206,"to_index":350,"sum":419402,"residue":850}],"minimal_cycle":[850],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":850,"start_interval_clock_positions":[350,1278],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-351","shape":"Equilateral triangle","alpha_indices":[351,1279,2207],"clock_positions":[351,1279,2207],"native_values":[188,651,651],"rotation_degrees":45.38793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[188,651,651],"beta":{"interval_sums":[443366,423920,419290],"interval_residues":[738,738,738],"display_cycle":[738,738,738],"intervals":[{"from_index":351,"to_index":1279,"sum":443366,"residue":738},{"from_index":1279,"to_index":2207,"sum":423920,"residue":738},{"from_index":2207,"to_index":351,"sum":419290,"residue":738}],"minimal_cycle":[738],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":738,"start_interval_clock_positions":[351,1279],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-352","shape":"Equilateral triangle","alpha_indices":[352,1280,2208],"clock_positions":[352,1280,2208],"native_values":[727,727,264],"rotation_degrees":45.51724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[727,727,264],"beta":{"interval_sums":[443290,423844,419214],"interval_residues":[662,662,662],"display_cycle":[662,662,662],"intervals":[{"from_index":352,"to_index":1280,"sum":443290,"residue":662},{"from_index":1280,"to_index":2208,"sum":423844,"residue":662},{"from_index":2208,"to_index":352,"sum":419214,"residue":662}],"minimal_cycle":[662],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":662,"start_interval_clock_positions":[352,1280],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-353","shape":"Equilateral triangle","alpha_indices":[353,1281,2209],"clock_positions":[353,1281,2209],"native_values":[915,452,915],"rotation_degrees":45.64655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[915,452,915],"beta":{"interval_sums":[443102,423656,419026],"interval_residues":[474,474,474],"display_cycle":[474,474,474],"intervals":[{"from_index":353,"to_index":1281,"sum":443102,"residue":474},{"from_index":1281,"to_index":2209,"sum":423656,"residue":474},{"from_index":2209,"to_index":353,"sum":419026,"residue":474}],"minimal_cycle":[474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[353,1281],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-354","shape":"Equilateral triangle","alpha_indices":[354,1282,2210],"clock_positions":[354,1282,2210],"native_values":[716,253,253],"rotation_degrees":45.775862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[716,253,253],"beta":{"interval_sums":[442838,424318,419688],"interval_residues":[210,210,210],"display_cycle":[210,210,210],"intervals":[{"from_index":354,"to_index":1282,"sum":442838,"residue":210},{"from_index":1282,"to_index":2210,"sum":424318,"residue":210},{"from_index":2210,"to_index":354,"sum":419688,"residue":210}],"minimal_cycle":[210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[354,1282],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-355","shape":"Equilateral triangle","alpha_indices":[355,1283,2211],"clock_positions":[355,1283,2211],"native_values":[705,705,242],"rotation_degrees":45.9051724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,705,242],"beta":{"interval_sums":[442386,423866,420162],"interval_residues":[684,684,684],"display_cycle":[684,684,684],"intervals":[{"from_index":355,"to_index":1283,"sum":442386,"residue":684},{"from_index":1283,"to_index":2211,"sum":423866,"residue":684},{"from_index":2211,"to_index":355,"sum":420162,"residue":684}],"minimal_cycle":[684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":684,"start_interval_clock_positions":[355,1283],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-356","shape":"Equilateral triangle","alpha_indices":[356,1284,2212],"clock_positions":[356,1284,2212],"native_values":[495,32,495],"rotation_degrees":46.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[495,32,495],"beta":{"interval_sums":[442596,424076,420372],"interval_residues":[894,894,894],"display_cycle":[894,894,894],"intervals":[{"from_index":356,"to_index":1284,"sum":442596,"residue":894},{"from_index":1284,"to_index":2212,"sum":424076,"residue":894},{"from_index":2212,"to_index":356,"sum":420372,"residue":894}],"minimal_cycle":[894],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":894,"start_interval_clock_positions":[356,1284],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-357","shape":"Equilateral triangle","alpha_indices":[357,1285,2213],"clock_positions":[357,1285,2213],"native_values":[274,737,737],"rotation_degrees":46.16379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[274,737,737],"beta":{"interval_sums":[442354,423834,420130],"interval_residues":[652,652,652],"display_cycle":[652,652,652],"intervals":[{"from_index":357,"to_index":1285,"sum":442354,"residue":652},{"from_index":1285,"to_index":2213,"sum":423834,"residue":652},{"from_index":2213,"to_index":357,"sum":420130,"residue":652}],"minimal_cycle":[652],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[357,1285],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-358","shape":"Equilateral triangle","alpha_indices":[358,1286,2214],"clock_positions":[358,1286,2214],"native_values":[769,769,306],"rotation_degrees":46.293103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[769,769,306],"beta":{"interval_sums":[442322,423802,420098],"interval_residues":[620,620,620],"display_cycle":[620,620,620],"intervals":[{"from_index":358,"to_index":1286,"sum":442322,"residue":620},{"from_index":1286,"to_index":2214,"sum":423802,"residue":620},{"from_index":2214,"to_index":358,"sum":420098,"residue":620}],"minimal_cycle":[620],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":620,"start_interval_clock_positions":[358,1286],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-359","shape":"Equilateral triangle","alpha_indices":[359,1287,2215],"clock_positions":[359,1287,2215],"native_values":[117,580,117],"rotation_degrees":46.422413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,580,117],"beta":{"interval_sums":[442974,423528,420750],"interval_residues":[346,346,346],"display_cycle":[346,346,346],"intervals":[{"from_index":359,"to_index":1287,"sum":442974,"residue":346},{"from_index":1287,"to_index":2215,"sum":423528,"residue":346},{"from_index":2215,"to_index":359,"sum":420750,"residue":346}],"minimal_cycle":[346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[359,1287],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-360","shape":"Equilateral triangle","alpha_indices":[360,1288,2216],"clock_positions":[360,1288,2216],"native_values":[886,423,423],"rotation_degrees":46.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[886,423,423],"beta":{"interval_sums":[442668,423222,420444],"interval_residues":[40,40,40],"display_cycle":[40,40,40],"intervals":[{"from_index":360,"to_index":1288,"sum":442668,"residue":40},{"from_index":1288,"to_index":2216,"sum":423222,"residue":40},{"from_index":2216,"to_index":360,"sum":420444,"residue":40}],"minimal_cycle":[40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[360,1288],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-361","shape":"Equilateral triangle","alpha_indices":[361,1289,2217],"clock_positions":[361,1289,2217],"native_values":[77,77,540],"rotation_degrees":46.68103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,77,540],"beta":{"interval_sums":[443014,423568,420790],"interval_residues":[386,386,386],"display_cycle":[386,386,386],"intervals":[{"from_index":361,"to_index":1289,"sum":443014,"residue":386},{"from_index":1289,"to_index":2217,"sum":423568,"residue":386},{"from_index":2217,"to_index":361,"sum":420790,"residue":386}],"minimal_cycle":[386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":386,"start_interval_clock_positions":[361,1289],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-362","shape":"Equilateral triangle","alpha_indices":[362,1290,2218],"clock_positions":[362,1290,2218],"native_values":[37,500,37],"rotation_degrees":46.810344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[37,500,37],"beta":{"interval_sums":[443054,423608,420830],"interval_residues":[426,426,426],"display_cycle":[426,426,426],"intervals":[{"from_index":362,"to_index":1290,"sum":443054,"residue":426},{"from_index":1290,"to_index":2218,"sum":423608,"residue":426},{"from_index":2218,"to_index":362,"sum":420830,"residue":426}],"minimal_cycle":[426],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":426,"start_interval_clock_positions":[362,1290],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-363","shape":"Equilateral triangle","alpha_indices":[363,1291,2219],"clock_positions":[363,1291,2219],"native_values":[114,577,577],"rotation_degrees":46.939655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[114,577,577],"beta":{"interval_sums":[443440,423068,420290],"interval_residues":[812,812,812],"display_cycle":[812,812,812],"intervals":[{"from_index":363,"to_index":1291,"sum":443440,"residue":812},{"from_index":1291,"to_index":2219,"sum":423068,"residue":812},{"from_index":2219,"to_index":363,"sum":420290,"residue":812}],"minimal_cycle":[812],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":812,"start_interval_clock_positions":[363,1291],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-364","shape":"Equilateral triangle","alpha_indices":[364,1292,2220],"clock_positions":[364,1292,2220],"native_values":[151,151,614],"rotation_degrees":47.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,151,614],"beta":{"interval_sums":[443866,423494,419790],"interval_residues":[312,312,312],"display_cycle":[312,312,312],"intervals":[{"from_index":364,"to_index":1292,"sum":443866,"residue":312},{"from_index":1292,"to_index":2220,"sum":423494,"residue":312},{"from_index":2220,"to_index":364,"sum":419790,"residue":312}],"minimal_cycle":[312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[364,1292],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-365","shape":"Equilateral triangle","alpha_indices":[365,1293,2221],"clock_positions":[365,1293,2221],"native_values":[265,728,265],"rotation_degrees":47.19827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,728,265],"beta":{"interval_sums":[443752,423380,419676],"interval_residues":[198,198,198],"display_cycle":[198,198,198],"intervals":[{"from_index":365,"to_index":1293,"sum":443752,"residue":198},{"from_index":1293,"to_index":2221,"sum":423380,"residue":198},{"from_index":2221,"to_index":365,"sum":419676,"residue":198}],"minimal_cycle":[198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[365,1293],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-366","shape":"Equilateral triangle","alpha_indices":[366,1294,2222],"clock_positions":[366,1294,2222],"native_values":[416,879,879],"rotation_degrees":47.327586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[416,879,879],"beta":{"interval_sums":[444064,422766,419062],"interval_residues":[510,510,510],"display_cycle":[510,510,510],"intervals":[{"from_index":366,"to_index":1294,"sum":444064,"residue":510},{"from_index":1294,"to_index":2222,"sum":422766,"residue":510},{"from_index":2222,"to_index":366,"sum":419062,"residue":510}],"minimal_cycle":[510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[366,1294],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-367","shape":"Equilateral triangle","alpha_indices":[367,1295,2223],"clock_positions":[367,1295,2223],"native_values":[681,681,218],"rotation_degrees":47.456896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[681,681,218],"beta":{"interval_sums":[444262,422964,419260],"interval_residues":[708,708,708],"display_cycle":[708,708,708],"intervals":[{"from_index":367,"to_index":1295,"sum":444262,"residue":708},{"from_index":1295,"to_index":2223,"sum":422964,"residue":708},{"from_index":2223,"to_index":367,"sum":419260,"residue":708}],"minimal_cycle":[708],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":708,"start_interval_clock_positions":[367,1295],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-368","shape":"Equilateral triangle","alpha_indices":[368,1296,2224],"clock_positions":[368,1296,2224],"native_values":[171,634,171],"rotation_degrees":47.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,634,171],"beta":{"interval_sums":[444772,422548,419770],"interval_residues":[292,292,292],"display_cycle":[292,292,292],"intervals":[{"from_index":368,"to_index":1296,"sum":444772,"residue":292},{"from_index":1296,"to_index":2224,"sum":422548,"residue":292},{"from_index":2224,"to_index":368,"sum":419770,"residue":292}],"minimal_cycle":[292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[368,1296],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-369","shape":"Equilateral triangle","alpha_indices":[369,1297,2225],"clock_positions":[369,1297,2225],"native_values":[852,389,389],"rotation_degrees":47.71551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[852,389,389],"beta":{"interval_sums":[444554,422330,419552],"interval_residues":[74,74,74],"display_cycle":[74,74,74],"intervals":[{"from_index":369,"to_index":1297,"sum":444554,"residue":74},{"from_index":1297,"to_index":2225,"sum":422330,"residue":74},{"from_index":2225,"to_index":369,"sum":419552,"residue":74}],"minimal_cycle":[74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[369,1297],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-370","shape":"Equilateral triangle","alpha_indices":[370,1298,2226],"clock_positions":[370,1298,2226],"native_values":[97,97,560],"rotation_degrees":47.8448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[97,97,560],"beta":{"interval_sums":[444846,422622,419844],"interval_residues":[366,366,366],"display_cycle":[366,366,366],"intervals":[{"from_index":370,"to_index":1298,"sum":444846,"residue":366},{"from_index":1298,"to_index":2226,"sum":422622,"residue":366},{"from_index":2226,"to_index":370,"sum":419844,"residue":366}],"minimal_cycle":[366],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":366,"start_interval_clock_positions":[370,1298],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-371","shape":"Equilateral triangle","alpha_indices":[371,1299,2227],"clock_positions":[371,1299,2227],"native_values":[23,486,23],"rotation_degrees":47.974137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[23,486,23],"beta":{"interval_sums":[444920,422696,419918],"interval_residues":[440,440,440],"display_cycle":[440,440,440],"intervals":[{"from_index":371,"to_index":1299,"sum":444920,"residue":440},{"from_index":1299,"to_index":2227,"sum":422696,"residue":440},{"from_index":2227,"to_index":371,"sum":419918,"residue":440}],"minimal_cycle":[440],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[371,1299],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-372","shape":"Equilateral triangle","alpha_indices":[372,1300,2228],"clock_positions":[372,1300,2228],"native_values":[120,583,583],"rotation_degrees":48.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[120,583,583],"beta":{"interval_sums":[445286,422136,419358],"interval_residues":[806,806,806],"display_cycle":[806,806,806],"intervals":[{"from_index":372,"to_index":1300,"sum":445286,"residue":806},{"from_index":1300,"to_index":2228,"sum":422136,"residue":806},{"from_index":2228,"to_index":372,"sum":419358,"residue":806}],"minimal_cycle":[806],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":806,"start_interval_clock_positions":[372,1300],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-373","shape":"Equilateral triangle","alpha_indices":[373,1301,2229],"clock_positions":[373,1301,2229],"native_values":[143,143,606],"rotation_degrees":48.23275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[143,143,606],"beta":{"interval_sums":[445726,422576,418872],"interval_residues":[320,320,320],"display_cycle":[320,320,320],"intervals":[{"from_index":373,"to_index":1301,"sum":445726,"residue":320},{"from_index":1301,"to_index":2229,"sum":422576,"residue":320},{"from_index":2229,"to_index":373,"sum":418872,"residue":320}],"minimal_cycle":[320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[373,1301],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-374","shape":"Equilateral triangle","alpha_indices":[374,1302,2230],"clock_positions":[374,1302,2230],"native_values":[263,726,263],"rotation_degrees":48.36206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[263,726,263],"beta":{"interval_sums":[445606,422456,418752],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":374,"to_index":1302,"sum":445606,"residue":200},{"from_index":1302,"to_index":2230,"sum":422456,"residue":200},{"from_index":2230,"to_index":374,"sum":418752,"residue":200}],"minimal_cycle":[200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[374,1302],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-375","shape":"Equilateral triangle","alpha_indices":[375,1303,2231],"clock_positions":[375,1303,2231],"native_values":[406,869,869],"rotation_degrees":48.491379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[406,869,869],"beta":{"interval_sums":[445926,421850,418146],"interval_residues":[520,520,520],"display_cycle":[520,520,520],"intervals":[{"from_index":375,"to_index":1303,"sum":445926,"residue":520},{"from_index":1303,"to_index":2231,"sum":421850,"residue":520},{"from_index":2231,"to_index":375,"sum":418146,"residue":520}],"minimal_cycle":[520],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":520,"start_interval_clock_positions":[375,1303],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-376","shape":"Equilateral triangle","alpha_indices":[376,1304,2232],"clock_positions":[376,1304,2232],"native_values":[669,669,206],"rotation_degrees":48.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,669,206],"beta":{"interval_sums":[446126,422050,418346],"interval_residues":[720,720,720],"display_cycle":[720,720,720],"intervals":[{"from_index":376,"to_index":1304,"sum":446126,"residue":720},{"from_index":1304,"to_index":2232,"sum":422050,"residue":720},{"from_index":2232,"to_index":376,"sum":418346,"residue":720}],"minimal_cycle":[720],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":720,"start_interval_clock_positions":[376,1304],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-377","shape":"Equilateral triangle","alpha_indices":[377,1305,2233],"clock_positions":[377,1305,2233],"native_values":[149,612,149],"rotation_degrees":48.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,612,149],"beta":{"interval_sums":[446646,421644,418866],"interval_residues":[314,314,314],"display_cycle":[314,314,314],"intervals":[{"from_index":377,"to_index":1305,"sum":446646,"residue":314},{"from_index":1305,"to_index":2233,"sum":421644,"residue":314},{"from_index":2233,"to_index":377,"sum":418866,"residue":314}],"minimal_cycle":[314],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":314,"start_interval_clock_positions":[377,1305],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-378","shape":"Equilateral triangle","alpha_indices":[378,1306,2234],"clock_positions":[378,1306,2234],"native_values":[818,355,355],"rotation_degrees":48.87931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[818,355,355],"beta":{"interval_sums":[446440,421438,418660],"interval_residues":[108,108,108],"display_cycle":[108,108,108],"intervals":[{"from_index":378,"to_index":1306,"sum":446440,"residue":108},{"from_index":1306,"to_index":2234,"sum":421438,"residue":108},{"from_index":2234,"to_index":378,"sum":418660,"residue":108}],"minimal_cycle":[108],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":108,"start_interval_clock_positions":[378,1306],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-379","shape":"Equilateral triangle","alpha_indices":[379,1307,2235],"clock_positions":[379,1307,2235],"native_values":[41,41,504],"rotation_degrees":49.008620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,41,504],"beta":{"interval_sums":[446754,421752,418974],"interval_residues":[422,422,422],"display_cycle":[422,422,422],"intervals":[{"from_index":379,"to_index":1307,"sum":446754,"residue":422},{"from_index":1307,"to_index":2235,"sum":421752,"residue":422},{"from_index":2235,"to_index":379,"sum":418974,"residue":422}],"minimal_cycle":[422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":422,"start_interval_clock_positions":[379,1307],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-380","shape":"Equilateral triangle","alpha_indices":[380,1308,2236],"clock_positions":[380,1308,2236],"native_values":[859,396,859],"rotation_degrees":49.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[859,396,859],"beta":{"interval_sums":[445936,421860,418156],"interval_residues":[530,530,530],"display_cycle":[530,530,530],"intervals":[{"from_index":380,"to_index":1308,"sum":445936,"residue":530},{"from_index":1308,"to_index":2236,"sum":421860,"residue":530},{"from_index":2236,"to_index":380,"sum":418156,"residue":530}],"minimal_cycle":[530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[380,1308],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-381","shape":"Equilateral triangle","alpha_indices":[381,1309,2237],"clock_positions":[381,1309,2237],"native_values":[900,437,437],"rotation_degrees":49.26724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[900,437,437],"beta":{"interval_sums":[445432,422282,418578],"interval_residues":[26,26,26],"display_cycle":[26,26,26],"intervals":[{"from_index":381,"to_index":1309,"sum":445432,"residue":26},{"from_index":1309,"to_index":2237,"sum":422282,"residue":26},{"from_index":2237,"to_index":381,"sum":418578,"residue":26}],"minimal_cycle":[26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[381,1309],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-382","shape":"Equilateral triangle","alpha_indices":[382,1310,2238],"clock_positions":[382,1310,2238],"native_values":[833,833,370],"rotation_degrees":49.39655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[833,833,370],"beta":{"interval_sums":[445036,421886,419108],"interval_residues":[556,556,556],"display_cycle":[556,556,556],"intervals":[{"from_index":382,"to_index":1310,"sum":445036,"residue":556},{"from_index":1310,"to_index":2238,"sum":421886,"residue":556},{"from_index":2238,"to_index":382,"sum":419108,"residue":556}],"minimal_cycle":[556],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":556,"start_interval_clock_positions":[382,1310],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-383","shape":"Equilateral triangle","alpha_indices":[383,1311,2239],"clock_positions":[383,1311,2239],"native_values":[807,344,807],"rotation_degrees":49.525862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[807,344,807],"beta":{"interval_sums":[445062,421912,419134],"interval_residues":[582,582,582],"display_cycle":[582,582,582],"intervals":[{"from_index":383,"to_index":1311,"sum":445062,"residue":582},{"from_index":1311,"to_index":2239,"sum":421912,"residue":582},{"from_index":2239,"to_index":383,"sum":419134,"residue":582}],"minimal_cycle":[582],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":582,"start_interval_clock_positions":[383,1311],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-384","shape":"Equilateral triangle","alpha_indices":[384,1312,2240],"clock_positions":[384,1312,2240],"native_values":[714,251,251],"rotation_degrees":49.6551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[714,251,251],"beta":{"interval_sums":[444692,422468,419690],"interval_residues":[212,212,212],"display_cycle":[212,212,212],"intervals":[{"from_index":384,"to_index":1312,"sum":444692,"residue":212},{"from_index":1312,"to_index":2240,"sum":422468,"residue":212},{"from_index":2240,"to_index":384,"sum":419690,"residue":212}],"minimal_cycle":[212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":212,"start_interval_clock_positions":[384,1312],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-385","shape":"Equilateral triangle","alpha_indices":[385,1313,2241],"clock_positions":[385,1313,2241],"native_values":[595,595,132],"rotation_degrees":49.78448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[595,595,132],"beta":{"interval_sums":[444348,422124,420272],"interval_residues":[794,794,794],"display_cycle":[794,794,794],"intervals":[{"from_index":385,"to_index":1313,"sum":444348,"residue":794},{"from_index":1313,"to_index":2241,"sum":422124,"residue":794},{"from_index":2241,"to_index":385,"sum":420272,"residue":794}],"minimal_cycle":[794],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":794,"start_interval_clock_positions":[385,1313],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-386","shape":"Equilateral triangle","alpha_indices":[386,1314,2242],"clock_positions":[386,1314,2242],"native_values":[383,846,383],"rotation_degrees":49.91379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[383,846,383],"beta":{"interval_sums":[444560,421410,420484],"interval_residues":[80,80,80],"display_cycle":[80,80,80],"intervals":[{"from_index":386,"to_index":1314,"sum":444560,"residue":80},{"from_index":1314,"to_index":2242,"sum":421410,"residue":80},{"from_index":2242,"to_index":386,"sum":420484,"residue":80}],"minimal_cycle":[80],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[386,1314],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-387","shape":"Equilateral triangle","alpha_indices":[387,1315,2243],"clock_positions":[387,1315,2243],"native_values":[52,515,515],"rotation_degrees":50.043103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[52,515,515],"beta":{"interval_sums":[445354,421278,420352],"interval_residues":[874,874,874],"display_cycle":[874,874,874],"intervals":[{"from_index":387,"to_index":1315,"sum":445354,"residue":874},{"from_index":1315,"to_index":2243,"sum":421278,"residue":874},{"from_index":2243,"to_index":387,"sum":420352,"residue":874}],"minimal_cycle":[874],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":874,"start_interval_clock_positions":[387,1315],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-388","shape":"Equilateral triangle","alpha_indices":[388,1316,2244],"clock_positions":[388,1316,2244],"native_values":[435,435,898],"rotation_degrees":50.172413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[435,435,898],"beta":{"interval_sums":[445434,421358,419506],"interval_residues":[28,28,28],"display_cycle":[28,28,28],"intervals":[{"from_index":388,"to_index":1316,"sum":445434,"residue":28},{"from_index":1316,"to_index":2244,"sum":421358,"residue":28},{"from_index":2244,"to_index":388,"sum":419506,"residue":28}],"minimal_cycle":[28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[388,1316],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-389","shape":"Equilateral triangle","alpha_indices":[389,1317,2245],"clock_positions":[389,1317,2245],"native_values":[487,24,487],"rotation_degrees":50.30172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[487,24,487],"beta":{"interval_sums":[445382,422232,419454],"interval_residues":[902,902,902],"display_cycle":[902,902,902],"intervals":[{"from_index":389,"to_index":1317,"sum":445382,"residue":902},{"from_index":1317,"to_index":2245,"sum":422232,"residue":902},{"from_index":2245,"to_index":389,"sum":419454,"residue":902}],"minimal_cycle":[902],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":902,"start_interval_clock_positions":[389,1317],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-390","shape":"Equilateral triangle","alpha_indices":[390,1318,2246],"clock_positions":[390,1318,2246],"native_values":[922,459,459],"rotation_degrees":50.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[922,459,459],"beta":{"interval_sums":[444484,422260,419482],"interval_residues":[4,4,4],"display_cycle":[4,4,4],"intervals":[{"from_index":390,"to_index":1318,"sum":444484,"residue":4},{"from_index":1318,"to_index":2246,"sum":422260,"residue":4},{"from_index":2246,"to_index":390,"sum":419482,"residue":4}],"minimal_cycle":[4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[390,1318],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-391","shape":"Equilateral triangle","alpha_indices":[391,1319,2247],"clock_positions":[391,1319,2247],"native_values":[483,483,20],"rotation_degrees":50.560344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,483,20],"beta":{"interval_sums":[444460,422236,420384],"interval_residues":[906,906,906],"display_cycle":[906,906,906],"intervals":[{"from_index":391,"to_index":1319,"sum":444460,"residue":906},{"from_index":1319,"to_index":2247,"sum":422236,"residue":906},{"from_index":2247,"to_index":391,"sum":420384,"residue":906}],"minimal_cycle":[906],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":906,"start_interval_clock_positions":[391,1319],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-392","shape":"Equilateral triangle","alpha_indices":[392,1320,2248],"clock_positions":[392,1320,2248],"native_values":[479,16,479],"rotation_degrees":50.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[479,16,479],"beta":{"interval_sums":[444464,422240,420388],"interval_residues":[910,910,910],"display_cycle":[910,910,910],"intervals":[{"from_index":392,"to_index":1320,"sum":444464,"residue":910},{"from_index":1320,"to_index":2248,"sum":422240,"residue":910},{"from_index":2248,"to_index":392,"sum":420388,"residue":910}],"minimal_cycle":[910],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":910,"start_interval_clock_positions":[392,1320],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-393","shape":"Equilateral triangle","alpha_indices":[393,1321,2249],"clock_positions":[393,1321,2249],"native_values":[36,499,499],"rotation_degrees":50.81896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,499,499],"beta":{"interval_sums":[444444,422220,420368],"interval_residues":[890,890,890],"display_cycle":[890,890,890],"intervals":[{"from_index":393,"to_index":1321,"sum":444444,"residue":890},{"from_index":1321,"to_index":2249,"sum":422220,"residue":890},{"from_index":2249,"to_index":393,"sum":420368,"residue":890}],"minimal_cycle":[890],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":890,"start_interval_clock_positions":[393,1321],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-394","shape":"Equilateral triangle","alpha_indices":[394,1322,2250],"clock_positions":[394,1322,2250],"native_values":[515,515,52],"rotation_degrees":50.94827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[515,515,52],"beta":{"interval_sums":[444428,422204,420352],"interval_residues":[874,874,874],"display_cycle":[874,874,874],"intervals":[{"from_index":394,"to_index":1322,"sum":444428,"residue":874},{"from_index":1322,"to_index":2250,"sum":422204,"residue":874},{"from_index":2250,"to_index":394,"sum":420352,"residue":874}],"minimal_cycle":[874],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":874,"start_interval_clock_positions":[394,1322],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-395","shape":"Equilateral triangle","alpha_indices":[395,1323,2251],"clock_positions":[395,1323,2251],"native_values":[551,88,551],"rotation_degrees":51.077586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,88,551],"beta":{"interval_sums":[444392,422168,420316],"interval_residues":[838,838,838],"display_cycle":[838,838,838],"intervals":[{"from_index":395,"to_index":1323,"sum":444392,"residue":838},{"from_index":1323,"to_index":2251,"sum":422168,"residue":838},{"from_index":2251,"to_index":395,"sum":420316,"residue":838}],"minimal_cycle":[838],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":838,"start_interval_clock_positions":[395,1323],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-396","shape":"Equilateral triangle","alpha_indices":[396,1324,2252],"clock_positions":[396,1324,2252],"native_values":[140,603,603],"rotation_degrees":51.206896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[140,603,603],"beta":{"interval_sums":[444340,422116,420264],"interval_residues":[786,786,786],"display_cycle":[786,786,786],"intervals":[{"from_index":396,"to_index":1324,"sum":444340,"residue":786},{"from_index":1324,"to_index":2252,"sum":422116,"residue":786},{"from_index":2252,"to_index":396,"sum":420264,"residue":786}],"minimal_cycle":[786],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":786,"start_interval_clock_positions":[396,1324],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-397","shape":"Equilateral triangle","alpha_indices":[397,1325,2253],"clock_positions":[397,1325,2253],"native_values":[691,691,228],"rotation_degrees":51.33620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,691,228],"beta":{"interval_sums":[444252,422028,420176],"interval_residues":[698,698,698],"display_cycle":[698,698,698],"intervals":[{"from_index":397,"to_index":1325,"sum":444252,"residue":698},{"from_index":1325,"to_index":2253,"sum":422028,"residue":698},{"from_index":2253,"to_index":397,"sum":420176,"residue":698}],"minimal_cycle":[698],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":698,"start_interval_clock_positions":[397,1325],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-398","shape":"Equilateral triangle","alpha_indices":[398,1326,2254],"clock_positions":[398,1326,2254],"native_values":[831,368,831],"rotation_degrees":51.46551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[831,368,831],"beta":{"interval_sums":[444112,421888,420036],"interval_residues":[558,558,558],"display_cycle":[558,558,558],"intervals":[{"from_index":398,"to_index":1326,"sum":444112,"residue":558},{"from_index":1326,"to_index":2254,"sum":421888,"residue":558},{"from_index":2254,"to_index":398,"sum":420036,"residue":558}],"minimal_cycle":[558],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":558,"start_interval_clock_positions":[398,1326],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-399","shape":"Equilateral triangle","alpha_indices":[399,1327,2255],"clock_positions":[399,1327,2255],"native_values":[596,133,133],"rotation_degrees":51.5948275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[596,133,133],"beta":{"interval_sums":[443884,422586,420734],"interval_residues":[330,330,330],"display_cycle":[330,330,330],"intervals":[{"from_index":399,"to_index":1327,"sum":443884,"residue":330},{"from_index":1327,"to_index":2255,"sum":422586,"residue":330},{"from_index":2255,"to_index":399,"sum":420734,"residue":330}],"minimal_cycle":[330],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[399,1327],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-400","shape":"Equilateral triangle","alpha_indices":[400,1328,2256],"clock_positions":[400,1328,2256],"native_values":[501,501,38],"rotation_degrees":51.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[501,501,38],"beta":{"interval_sums":[443516,422218,421292],"interval_residues":[888,888,888],"display_cycle":[888,888,888],"intervals":[{"from_index":400,"to_index":1328,"sum":443516,"residue":888},{"from_index":1328,"to_index":2256,"sum":422218,"residue":888},{"from_index":2256,"to_index":400,"sum":421292,"residue":888}],"minimal_cycle":[888],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":888,"start_interval_clock_positions":[400,1328],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-401","shape":"Equilateral triangle","alpha_indices":[401,1329,2257],"clock_positions":[401,1329,2257],"native_values":[171,634,171],"rotation_degrees":51.85344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,634,171],"beta":{"interval_sums":[443846,421622,421622],"interval_residues":[292,292,292],"display_cycle":[292,292,292],"intervals":[{"from_index":401,"to_index":1329,"sum":443846,"residue":292},{"from_index":1329,"to_index":2257,"sum":421622,"residue":292},{"from_index":2257,"to_index":401,"sum":421622,"residue":292}],"minimal_cycle":[292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[401,1329],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-402","shape":"Equilateral triangle","alpha_indices":[402,1330,2258],"clock_positions":[402,1330,2258],"native_values":[672,209,209],"rotation_degrees":51.98275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[672,209,209],"beta":{"interval_sums":[443808,421584,421584],"interval_residues":[254,254,254],"display_cycle":[254,254,254],"intervals":[{"from_index":402,"to_index":1330,"sum":443808,"residue":254},{"from_index":1330,"to_index":2258,"sum":421584,"residue":254},{"from_index":2258,"to_index":402,"sum":421584,"residue":254}],"minimal_cycle":[254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":254,"start_interval_clock_positions":[402,1330],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-403","shape":"Equilateral triangle","alpha_indices":[403,1331,2259],"clock_positions":[403,1331,2259],"native_values":[843,843,380],"rotation_degrees":52.11206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[843,843,380],"beta":{"interval_sums":[443174,420950,421876],"interval_residues":[546,546,546],"display_cycle":[546,546,546],"intervals":[{"from_index":403,"to_index":1331,"sum":443174,"residue":546},{"from_index":1331,"to_index":2259,"sum":420950,"residue":546},{"from_index":2259,"to_index":403,"sum":421876,"residue":546}],"minimal_cycle":[546],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":546,"start_interval_clock_positions":[403,1331],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-404","shape":"Equilateral triangle","alpha_indices":[404,1332,2260],"clock_positions":[404,1332,2260],"native_values":[589,126,589],"rotation_degrees":52.241379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[589,126,589],"beta":{"interval_sums":[443428,421204,422130],"interval_residues":[800,800,800],"display_cycle":[800,800,800],"intervals":[{"from_index":404,"to_index":1332,"sum":443428,"residue":800},{"from_index":1332,"to_index":2260,"sum":421204,"residue":800},{"from_index":2260,"to_index":404,"sum":422130,"residue":800}],"minimal_cycle":[800],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":800,"start_interval_clock_positions":[404,1332],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-405","shape":"Equilateral triangle","alpha_indices":[405,1333,2261],"clock_positions":[405,1333,2261],"native_values":[506,43,43],"rotation_degrees":52.37068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[506,43,43],"beta":{"interval_sums":[443048,421750,422676],"interval_residues":[420,420,420],"display_cycle":[420,420,420],"intervals":[{"from_index":405,"to_index":1333,"sum":443048,"residue":420},{"from_index":1333,"to_index":2261,"sum":421750,"residue":420},{"from_index":2261,"to_index":405,"sum":422676,"residue":420}],"minimal_cycle":[420],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":420,"start_interval_clock_positions":[405,1333],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-406","shape":"Equilateral triangle","alpha_indices":[406,1334,2262],"clock_positions":[406,1334,2262],"native_values":[169,169,632],"rotation_degrees":52.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,169,632],"beta":{"interval_sums":[442922,421624,422550],"interval_residues":[294,294,294],"display_cycle":[294,294,294],"intervals":[{"from_index":406,"to_index":1334,"sum":442922,"residue":294},{"from_index":1334,"to_index":2262,"sum":421624,"residue":294},{"from_index":2262,"to_index":406,"sum":422550,"residue":294}],"minimal_cycle":[294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[406,1334],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-407","shape":"Equilateral triangle","alpha_indices":[407,1335,2263],"clock_positions":[407,1335,2263],"native_values":[675,212,675],"rotation_degrees":52.62931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[675,212,675],"beta":{"interval_sums":[442416,422044,422044],"interval_residues":[714,714,714],"display_cycle":[714,714,714],"intervals":[{"from_index":407,"to_index":1335,"sum":442416,"residue":714},{"from_index":1335,"to_index":2263,"sum":422044,"residue":714},{"from_index":2263,"to_index":407,"sum":422044,"residue":714}],"minimal_cycle":[714],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":714,"start_interval_clock_positions":[407,1335],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-408","shape":"Equilateral triangle","alpha_indices":[408,1336,2264],"clock_positions":[408,1336,2264],"native_values":[844,381,381],"rotation_degrees":52.758620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[844,381,381],"beta":{"interval_sums":[441784,422338,422338],"interval_residues":[82,82,82],"display_cycle":[82,82,82],"intervals":[{"from_index":408,"to_index":1336,"sum":441784,"residue":82},{"from_index":1336,"to_index":2264,"sum":422338,"residue":82},{"from_index":2264,"to_index":408,"sum":422338,"residue":82}],"minimal_cycle":[82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[408,1336],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-409","shape":"Equilateral triangle","alpha_indices":[409,1337,2265],"clock_positions":[409,1337,2265],"native_values":[593,593,130],"rotation_degrees":52.88793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[593,593,130],"beta":{"interval_sums":[441572,422126,423052],"interval_residues":[796,796,796],"display_cycle":[796,796,796],"intervals":[{"from_index":409,"to_index":1337,"sum":441572,"residue":796},{"from_index":1337,"to_index":2265,"sum":422126,"residue":796},{"from_index":2265,"to_index":409,"sum":423052,"residue":796}],"minimal_cycle":[796],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":796,"start_interval_clock_positions":[409,1337],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-410","shape":"Equilateral triangle","alpha_indices":[410,1338,2266],"clock_positions":[410,1338,2266],"native_values":[511,48,511],"rotation_degrees":53.01724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[511,48,511],"beta":{"interval_sums":[441654,422208,423134],"interval_residues":[878,878,878],"display_cycle":[878,878,878],"intervals":[{"from_index":410,"to_index":1338,"sum":441654,"residue":878},{"from_index":1338,"to_index":2266,"sum":422208,"residue":878},{"from_index":2266,"to_index":410,"sum":423134,"residue":878}],"minimal_cycle":[878],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":878,"start_interval_clock_positions":[410,1338],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-411","shape":"Equilateral triangle","alpha_indices":[411,1339,2267],"clock_positions":[411,1339,2267],"native_values":[178,641,641],"rotation_degrees":53.14655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[178,641,641],"beta":{"interval_sums":[441524,422078,423004],"interval_residues":[748,748,748],"display_cycle":[748,748,748],"intervals":[{"from_index":411,"to_index":1339,"sum":441524,"residue":748},{"from_index":1339,"to_index":2267,"sum":422078,"residue":748},{"from_index":2267,"to_index":411,"sum":423004,"residue":748}],"minimal_cycle":[748],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":748,"start_interval_clock_positions":[411,1339],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-412","shape":"Equilateral triangle","alpha_indices":[412,1340,2268],"clock_positions":[412,1340,2268],"native_values":[689,689,226],"rotation_degrees":53.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[689,689,226],"beta":{"interval_sums":[441476,422030,422956],"interval_residues":[700,700,700],"display_cycle":[700,700,700],"intervals":[{"from_index":412,"to_index":1340,"sum":441476,"residue":700},{"from_index":1340,"to_index":2268,"sum":422030,"residue":700},{"from_index":2268,"to_index":412,"sum":422956,"residue":700}],"minimal_cycle":[700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[412,1340],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-413","shape":"Equilateral triangle","alpha_indices":[413,1341,2269],"clock_positions":[413,1341,2269],"native_values":[867,404,867],"rotation_degrees":53.4051724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[867,404,867],"beta":{"interval_sums":[441298,421852,422778],"interval_residues":[522,522,522],"display_cycle":[522,522,522],"intervals":[{"from_index":413,"to_index":1341,"sum":441298,"residue":522},{"from_index":1341,"to_index":2269,"sum":421852,"residue":522},{"from_index":2269,"to_index":413,"sum":422778,"residue":522}],"minimal_cycle":[522],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":522,"start_interval_clock_positions":[413,1341],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-414","shape":"Equilateral triangle","alpha_indices":[414,1342,2270],"clock_positions":[414,1342,2270],"native_values":[630,167,167],"rotation_degrees":53.53448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[630,167,167],"beta":{"interval_sums":[441072,422552,423478],"interval_residues":[296,296,296],"display_cycle":[296,296,296],"intervals":[{"from_index":414,"to_index":1342,"sum":441072,"residue":296},{"from_index":1342,"to_index":2270,"sum":422552,"residue":296},{"from_index":2270,"to_index":414,"sum":423478,"residue":296}],"minimal_cycle":[296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[414,1342],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-415","shape":"Equilateral triangle","alpha_indices":[415,1343,2271],"clock_positions":[415,1343,2271],"native_values":[571,571,108],"rotation_degrees":53.66379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[571,571,108],"beta":{"interval_sums":[440668,422148,424000],"interval_residues":[818,818,818],"display_cycle":[818,818,818],"intervals":[{"from_index":415,"to_index":1343,"sum":440668,"residue":818},{"from_index":1343,"to_index":2271,"sum":422148,"residue":818},{"from_index":2271,"to_index":415,"sum":424000,"residue":818}],"minimal_cycle":[818],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":818,"start_interval_clock_positions":[415,1343],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-416","shape":"Equilateral triangle","alpha_indices":[416,1344,2272],"clock_positions":[416,1344,2272],"native_values":[275,738,275],"rotation_degrees":53.793103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[275,738,275],"beta":{"interval_sums":[440964,421518,424296],"interval_residues":[188,188,188],"display_cycle":[188,188,188],"intervals":[{"from_index":416,"to_index":1344,"sum":440964,"residue":188},{"from_index":1344,"to_index":2272,"sum":421518,"residue":188},{"from_index":2272,"to_index":416,"sum":424296,"residue":188}],"minimal_cycle":[188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[416,1344],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-417","shape":"Equilateral triangle","alpha_indices":[417,1345,2273],"clock_positions":[417,1345,2273],"native_values":[846,383,383],"rotation_degrees":53.922413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[846,383,383],"beta":{"interval_sums":[440856,421410,424188],"interval_residues":[80,80,80],"display_cycle":[80,80,80],"intervals":[{"from_index":417,"to_index":1345,"sum":440856,"residue":80},{"from_index":1345,"to_index":2273,"sum":421410,"residue":80},{"from_index":2273,"to_index":417,"sum":424188,"residue":80}],"minimal_cycle":[80],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[417,1345],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-418","shape":"Equilateral triangle","alpha_indices":[418,1346,2274],"clock_positions":[418,1346,2274],"native_values":[195,195,658],"rotation_degrees":54.05172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,195,658],"beta":{"interval_sums":[441044,421598,424376],"interval_residues":[268,268,268],"display_cycle":[268,268,268],"intervals":[{"from_index":418,"to_index":1346,"sum":441044,"residue":268},{"from_index":1346,"to_index":2274,"sum":421598,"residue":268},{"from_index":2274,"to_index":418,"sum":424376,"residue":268}],"minimal_cycle":[268],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":268,"start_interval_clock_positions":[418,1346],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-419","shape":"Equilateral triangle","alpha_indices":[419,1347,2275],"clock_positions":[419,1347,2275],"native_values":[115,578,115],"rotation_degrees":54.18103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,578,115],"beta":{"interval_sums":[441124,421678,424456],"interval_residues":[348,348,348],"display_cycle":[348,348,348],"intervals":[{"from_index":419,"to_index":1347,"sum":441124,"residue":348},{"from_index":1347,"to_index":2275,"sum":421678,"residue":348},{"from_index":2275,"to_index":419,"sum":424456,"residue":348}],"minimal_cycle":[348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[419,1347],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-420","shape":"Equilateral triangle","alpha_indices":[420,1348,2276],"clock_positions":[420,1348,2276],"native_values":[310,773,773],"rotation_degrees":54.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[310,773,773],"beta":{"interval_sums":[441392,421020,423798],"interval_residues":[616,616,616],"display_cycle":[616,616,616],"intervals":[{"from_index":420,"to_index":1348,"sum":441392,"residue":616},{"from_index":1348,"to_index":2276,"sum":421020,"residue":616},{"from_index":2276,"to_index":420,"sum":423798,"residue":616}],"minimal_cycle":[616],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":616,"start_interval_clock_positions":[420,1348],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-421","shape":"Equilateral triangle","alpha_indices":[421,1349,2277],"clock_positions":[421,1349,2277],"native_values":[425,425,888],"rotation_degrees":54.439655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[425,425,888],"beta":{"interval_sums":[441740,421368,423220],"interval_residues":[38,38,38],"display_cycle":[38,38,38],"intervals":[{"from_index":421,"to_index":1349,"sum":441740,"residue":38},{"from_index":1349,"to_index":2277,"sum":421368,"residue":38},{"from_index":2277,"to_index":421,"sum":423220,"residue":38}],"minimal_cycle":[38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[421,1349],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-422","shape":"Equilateral triangle","alpha_indices":[422,1350,2278],"clock_positions":[422,1350,2278],"native_values":[735,272,735],"rotation_degrees":54.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[735,272,735],"beta":{"interval_sums":[441430,421984,422910],"interval_residues":[654,654,654],"display_cycle":[654,654,654],"intervals":[{"from_index":422,"to_index":1350,"sum":441430,"residue":654},{"from_index":1350,"to_index":2278,"sum":421984,"residue":654},{"from_index":2278,"to_index":422,"sum":422910,"residue":654}],"minimal_cycle":[654],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":654,"start_interval_clock_positions":[422,1350],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-423","shape":"Equilateral triangle","alpha_indices":[423,1351,2279],"clock_positions":[423,1351,2279],"native_values":[234,697,697],"rotation_degrees":54.69827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[234,697,697],"beta":{"interval_sums":[441468,422022,422948],"interval_residues":[692,692,692],"display_cycle":[692,692,692],"intervals":[{"from_index":423,"to_index":1351,"sum":441468,"residue":692},{"from_index":1351,"to_index":2279,"sum":422022,"residue":692},{"from_index":2279,"to_index":423,"sum":422948,"residue":692}],"minimal_cycle":[692],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":692,"start_interval_clock_positions":[423,1351],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-424","shape":"Equilateral triangle","alpha_indices":[424,1352,2280],"clock_positions":[424,1352,2280],"native_values":[43,43,506],"rotation_degrees":54.827586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[43,43,506],"beta":{"interval_sums":[442122,422676,422676],"interval_residues":[420,420,420],"display_cycle":[420,420,420],"intervals":[{"from_index":424,"to_index":1352,"sum":442122,"residue":420},{"from_index":1352,"to_index":2280,"sum":422676,"residue":420},{"from_index":2280,"to_index":424,"sum":422676,"residue":420}],"minimal_cycle":[420],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":420,"start_interval_clock_positions":[424,1352],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-425","shape":"Equilateral triangle","alpha_indices":[425,1353,2281],"clock_positions":[425,1353,2281],"native_values":[277,740,277],"rotation_degrees":54.956896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,740,277],"beta":{"interval_sums":[441888,422442,422442],"interval_residues":[186,186,186],"display_cycle":[186,186,186],"intervals":[{"from_index":425,"to_index":1353,"sum":441888,"residue":186},{"from_index":1353,"to_index":2281,"sum":422442,"residue":186},{"from_index":2281,"to_index":425,"sum":422442,"residue":186}],"minimal_cycle":[186],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":186,"start_interval_clock_positions":[425,1353],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-426","shape":"Equilateral triangle","alpha_indices":[426,1354,2282],"clock_positions":[426,1354,2282],"native_values":[320,783,783],"rotation_degrees":55.08620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[320,783,783],"beta":{"interval_sums":[442308,421936,421936],"interval_residues":[606,606,606],"display_cycle":[606,606,606],"intervals":[{"from_index":426,"to_index":1354,"sum":442308,"residue":606},{"from_index":1354,"to_index":2282,"sum":421936,"residue":606},{"from_index":2282,"to_index":426,"sum":421936,"residue":606}],"minimal_cycle":[606],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":606,"start_interval_clock_positions":[426,1354],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-427","shape":"Equilateral triangle","alpha_indices":[427,1355,2283],"clock_positions":[427,1355,2283],"native_values":[597,597,134],"rotation_degrees":55.21551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,597,134],"beta":{"interval_sums":[442494,422122,422122],"interval_residues":[792,792,792],"display_cycle":[792,792,792],"intervals":[{"from_index":427,"to_index":1355,"sum":442494,"residue":792},{"from_index":1355,"to_index":2283,"sum":422122,"residue":792},{"from_index":2283,"to_index":427,"sum":422122,"residue":792}],"minimal_cycle":[792],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":792,"start_interval_clock_positions":[427,1355],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-428","shape":"Equilateral triangle","alpha_indices":[428,1356,2284],"clock_positions":[428,1356,2284],"native_values":[917,454,917],"rotation_degrees":55.3448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[917,454,917],"beta":{"interval_sums":[442174,421802,421802],"interval_residues":[472,472,472],"display_cycle":[472,472,472],"intervals":[{"from_index":428,"to_index":1356,"sum":442174,"residue":472},{"from_index":1356,"to_index":2284,"sum":421802,"residue":472},{"from_index":2284,"to_index":428,"sum":421802,"residue":472}],"minimal_cycle":[472],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":472,"start_interval_clock_positions":[428,1356],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-429","shape":"Equilateral triangle","alpha_indices":[429,1357,2285],"clock_positions":[429,1357,2285],"native_values":[588,125,125],"rotation_degrees":55.474137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[588,125,125],"beta":{"interval_sums":[442040,422594,422594],"interval_residues":[338,338,338],"display_cycle":[338,338,338],"intervals":[{"from_index":429,"to_index":1357,"sum":442040,"residue":338},{"from_index":1357,"to_index":2285,"sum":422594,"residue":338},{"from_index":2285,"to_index":429,"sum":422594,"residue":338}],"minimal_cycle":[338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[429,1357],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-430","shape":"Equilateral triangle","alpha_indices":[430,1358,2286],"clock_positions":[430,1358,2286],"native_values":[579,579,116],"rotation_degrees":55.60344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[579,579,116],"beta":{"interval_sums":[441586,422140,423066],"interval_residues":[810,810,810],"display_cycle":[810,810,810],"intervals":[{"from_index":430,"to_index":1358,"sum":441586,"residue":810},{"from_index":1358,"to_index":2286,"sum":422140,"residue":810},{"from_index":2286,"to_index":430,"sum":423066,"residue":810}],"minimal_cycle":[810],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":810,"start_interval_clock_positions":[430,1358],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-431","shape":"Equilateral triangle","alpha_indices":[431,1359,2287],"clock_positions":[431,1359,2287],"native_values":[241,704,241],"rotation_degrees":55.73275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,704,241],"beta":{"interval_sums":[441924,421552,423404],"interval_residues":[222,222,222],"display_cycle":[222,222,222],"intervals":[{"from_index":431,"to_index":1359,"sum":441924,"residue":222},{"from_index":1359,"to_index":2287,"sum":421552,"residue":222},{"from_index":2287,"to_index":431,"sum":423404,"residue":222}],"minimal_cycle":[222],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":222,"start_interval_clock_positions":[431,1359],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-432","shape":"Equilateral triangle","alpha_indices":[432,1360,2288],"clock_positions":[432,1360,2288],"native_values":[820,357,357],"rotation_degrees":55.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[820,357,357],"beta":{"interval_sums":[441808,421436,423288],"interval_residues":[106,106,106],"display_cycle":[106,106,106],"intervals":[{"from_index":432,"to_index":1360,"sum":441808,"residue":106},{"from_index":1360,"to_index":2288,"sum":421436,"residue":106},{"from_index":2288,"to_index":432,"sum":423288,"residue":106}],"minimal_cycle":[106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[432,1360],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-433","shape":"Equilateral triangle","alpha_indices":[433,1361,2289],"clock_positions":[433,1361,2289],"native_values":[135,135,598],"rotation_degrees":55.991379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,135,598],"beta":{"interval_sums":[442030,421658,423510],"interval_residues":[328,328,328],"display_cycle":[328,328,328],"intervals":[{"from_index":433,"to_index":1361,"sum":442030,"residue":328},{"from_index":1361,"to_index":2289,"sum":421658,"residue":328},{"from_index":2289,"to_index":433,"sum":423510,"residue":328}],"minimal_cycle":[328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":328,"start_interval_clock_positions":[433,1361],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-434","shape":"Equilateral triangle","alpha_indices":[434,1362,2290],"clock_positions":[434,1362,2290],"native_values":[29,492,29],"rotation_degrees":56.12068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,492,29],"beta":{"interval_sums":[442136,421764,423616],"interval_residues":[434,434,434],"display_cycle":[434,434,434],"intervals":[{"from_index":434,"to_index":1362,"sum":442136,"residue":434},{"from_index":1362,"to_index":2290,"sum":421764,"residue":434},{"from_index":2290,"to_index":434,"sum":423616,"residue":434}],"minimal_cycle":[434],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[434,1362],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-435","shape":"Equilateral triangle","alpha_indices":[435,1363,2291],"clock_positions":[435,1363,2291],"native_values":[164,627,627],"rotation_degrees":56.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[164,627,627],"beta":{"interval_sums":[442464,421166,423018],"interval_residues":[762,762,762],"display_cycle":[762,762,762],"intervals":[{"from_index":435,"to_index":1363,"sum":442464,"residue":762},{"from_index":1363,"to_index":2291,"sum":421166,"residue":762},{"from_index":2291,"to_index":435,"sum":423018,"residue":762}],"minimal_cycle":[762],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":762,"start_interval_clock_positions":[435,1363],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-436","shape":"Equilateral triangle","alpha_indices":[436,1364,2292],"clock_positions":[436,1364,2292],"native_values":[193,193,656],"rotation_degrees":56.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,193,656],"beta":{"interval_sums":[442898,421600,422526],"interval_residues":[270,270,270],"display_cycle":[270,270,270],"intervals":[{"from_index":436,"to_index":1364,"sum":442898,"residue":270},{"from_index":1364,"to_index":2292,"sum":421600,"residue":270},{"from_index":2292,"to_index":436,"sum":422526,"residue":270}],"minimal_cycle":[270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":270,"start_interval_clock_positions":[436,1364],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-437","shape":"Equilateral triangle","alpha_indices":[437,1365,2293],"clock_positions":[437,1365,2293],"native_values":[357,820,357],"rotation_degrees":56.508620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,820,357],"beta":{"interval_sums":[442734,421436,422362],"interval_residues":[106,106,106],"display_cycle":[106,106,106],"intervals":[{"from_index":437,"to_index":1365,"sum":442734,"residue":106},{"from_index":1365,"to_index":2293,"sum":421436,"residue":106},{"from_index":2293,"to_index":437,"sum":422362,"residue":106}],"minimal_cycle":[106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[437,1365],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-438","shape":"Equilateral triangle","alpha_indices":[438,1366,2294],"clock_positions":[438,1366,2294],"native_values":[550,87,87],"rotation_degrees":56.63793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[550,87,87],"beta":{"interval_sums":[443004,421706,422632],"interval_residues":[376,376,376],"display_cycle":[376,376,376],"intervals":[{"from_index":438,"to_index":1366,"sum":443004,"residue":376},{"from_index":1366,"to_index":2294,"sum":421706,"residue":376},{"from_index":2294,"to_index":438,"sum":422632,"residue":376}],"minimal_cycle":[376],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":376,"start_interval_clock_positions":[438,1366],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-439","shape":"Equilateral triangle","alpha_indices":[439,1367,2295],"clock_positions":[439,1367,2295],"native_values":[907,907,444],"rotation_degrees":56.76724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[907,907,444],"beta":{"interval_sums":[442184,420886,422738],"interval_residues":[482,482,482],"display_cycle":[482,482,482],"intervals":[{"from_index":439,"to_index":1367,"sum":442184,"residue":482},{"from_index":1367,"to_index":2295,"sum":420886,"residue":482},{"from_index":2295,"to_index":439,"sum":422738,"residue":482}],"minimal_cycle":[482],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":482,"start_interval_clock_positions":[439,1367],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-440","shape":"Equilateral triangle","alpha_indices":[440,1368,2296],"clock_positions":[440,1368,2296],"native_values":[531,68,531],"rotation_degrees":56.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[531,68,531],"beta":{"interval_sums":[442560,421262,423114],"interval_residues":[858,858,858],"display_cycle":[858,858,858],"intervals":[{"from_index":440,"to_index":1368,"sum":442560,"residue":858},{"from_index":1368,"to_index":2296,"sum":421262,"residue":858},{"from_index":2296,"to_index":440,"sum":423114,"residue":858}],"minimal_cycle":[858],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":858,"start_interval_clock_positions":[440,1368],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-441","shape":"Equilateral triangle","alpha_indices":[441,1369,2297],"clock_positions":[441,1369,2297],"native_values":[512,49,49],"rotation_degrees":57.025862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[512,49,49],"beta":{"interval_sums":[442116,421744,423596],"interval_residues":[414,414,414],"display_cycle":[414,414,414],"intervals":[{"from_index":441,"to_index":1369,"sum":442116,"residue":414},{"from_index":1369,"to_index":2297,"sum":421744,"residue":414},{"from_index":2297,"to_index":441,"sum":423596,"residue":414}],"minimal_cycle":[414],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[441,1369],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-442","shape":"Equilateral triangle","alpha_indices":[442,1370,2298],"clock_positions":[442,1370,2298],"native_values":[117,117,580],"rotation_degrees":57.1551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,117,580],"beta":{"interval_sums":[442048,421676,423528],"interval_residues":[346,346,346],"display_cycle":[346,346,346],"intervals":[{"from_index":442,"to_index":1370,"sum":442048,"residue":346},{"from_index":1370,"to_index":2298,"sum":421676,"residue":346},{"from_index":2298,"to_index":442,"sum":423528,"residue":346}],"minimal_cycle":[346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[442,1370],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-443","shape":"Equilateral triangle","alpha_indices":[443,1371,2299],"clock_positions":[443,1371,2299],"native_values":[629,166,629],"rotation_degrees":57.28448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[629,166,629],"beta":{"interval_sums":[441536,422090,423016],"interval_residues":[760,760,760],"display_cycle":[760,760,760],"intervals":[{"from_index":443,"to_index":1371,"sum":441536,"residue":760},{"from_index":1371,"to_index":2299,"sum":422090,"residue":760},{"from_index":2299,"to_index":443,"sum":423016,"residue":760}],"minimal_cycle":[760],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":760,"start_interval_clock_positions":[443,1371],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-444","shape":"Equilateral triangle","alpha_indices":[444,1372,2300],"clock_positions":[444,1372,2300],"native_values":[746,283,283],"rotation_degrees":57.41379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[746,283,283],"beta":{"interval_sums":[440956,422436,423362],"interval_residues":[180,180,180],"display_cycle":[180,180,180],"intervals":[{"from_index":444,"to_index":1372,"sum":440956,"residue":180},{"from_index":1372,"to_index":2300,"sum":422436,"residue":180},{"from_index":2300,"to_index":444,"sum":423362,"residue":180}],"minimal_cycle":[180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[444,1372],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-445","shape":"Equilateral triangle","alpha_indices":[445,1373,2301],"clock_positions":[445,1373,2301],"native_values":[449,449,912],"rotation_degrees":57.543103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,449,912],"beta":{"interval_sums":[440790,422270,423196],"interval_residues":[14,14,14],"display_cycle":[14,14,14],"intervals":[{"from_index":445,"to_index":1373,"sum":440790,"residue":14},{"from_index":1373,"to_index":2301,"sum":422270,"residue":14},{"from_index":2301,"to_index":445,"sum":423196,"residue":14}],"minimal_cycle":[14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[445,1373],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-446","shape":"Equilateral triangle","alpha_indices":[446,1374,2302],"clock_positions":[446,1374,2302],"native_values":[269,732,269],"rotation_degrees":57.672413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[269,732,269],"beta":{"interval_sums":[440970,422450,423376],"interval_residues":[194,194,194],"display_cycle":[194,194,194],"intervals":[{"from_index":446,"to_index":1374,"sum":440970,"residue":194},{"from_index":1374,"to_index":2302,"sum":422450,"residue":194},{"from_index":2302,"to_index":446,"sum":423376,"residue":194}],"minimal_cycle":[194],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[446,1374],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-447","shape":"Equilateral triangle","alpha_indices":[447,1375,2303],"clock_positions":[447,1375,2303],"native_values":[718,255,255],"rotation_degrees":57.80172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[718,255,255],"beta":{"interval_sums":[440984,422464,423390],"interval_residues":[208,208,208],"display_cycle":[208,208,208],"intervals":[{"from_index":447,"to_index":1375,"sum":440984,"residue":208},{"from_index":1375,"to_index":2303,"sum":422464,"residue":208},{"from_index":2303,"to_index":447,"sum":423390,"residue":208}],"minimal_cycle":[208],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[447,1375],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-448","shape":"Equilateral triangle","alpha_indices":[448,1376,2304],"clock_positions":[448,1376,2304],"native_values":[61,61,524],"rotation_degrees":57.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,61,524],"beta":{"interval_sums":[441178,422658,423584],"interval_residues":[402,402,402],"display_cycle":[402,402,402],"intervals":[{"from_index":448,"to_index":1376,"sum":441178,"residue":402},{"from_index":1376,"to_index":2304,"sum":422658,"residue":402},{"from_index":2304,"to_index":448,"sum":423584,"residue":402}],"minimal_cycle":[402],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[448,1376],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-449","shape":"Equilateral triangle","alpha_indices":[449,1377,2305],"clock_positions":[449,1377,2305],"native_values":[779,316,779],"rotation_degrees":58.060344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[779,316,779],"beta":{"interval_sums":[440460,422866,422866],"interval_residues":[610,610,610],"display_cycle":[610,610,610],"intervals":[{"from_index":449,"to_index":1377,"sum":440460,"residue":610},{"from_index":1377,"to_index":2305,"sum":422866,"residue":610},{"from_index":2305,"to_index":449,"sum":422866,"residue":610}],"minimal_cycle":[610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[449,1377],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-450","shape":"Equilateral triangle","alpha_indices":[450,1378,2306],"clock_positions":[450,1378,2306],"native_values":[840,377,377],"rotation_degrees":58.189655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[840,377,377],"beta":{"interval_sums":[439936,423268,423268],"interval_residues":[86,86,86],"display_cycle":[86,86,86],"intervals":[{"from_index":450,"to_index":1378,"sum":439936,"residue":86},{"from_index":1378,"to_index":2306,"sum":423268,"residue":86},{"from_index":2306,"to_index":450,"sum":423268,"residue":86}],"minimal_cycle":[86],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":86,"start_interval_clock_positions":[450,1378],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-451","shape":"Equilateral triangle","alpha_indices":[451,1379,2307],"clock_positions":[451,1379,2307],"native_values":[693,693,230],"rotation_degrees":58.31896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[693,693,230],"beta":{"interval_sums":[439620,422952,423878],"interval_residues":[696,696,696],"display_cycle":[696,696,696],"intervals":[{"from_index":451,"to_index":1379,"sum":439620,"residue":696},{"from_index":1379,"to_index":2307,"sum":422952,"residue":696},{"from_index":2307,"to_index":451,"sum":423878,"residue":696}],"minimal_cycle":[696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":696,"start_interval_clock_positions":[451,1379],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-452","shape":"Equilateral triangle","alpha_indices":[452,1380,2308],"clock_positions":[452,1380,2308],"native_values":[607,144,607],"rotation_degrees":58.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[607,144,607],"beta":{"interval_sums":[439706,423038,423964],"interval_residues":[782,782,782],"display_cycle":[782,782,782],"intervals":[{"from_index":452,"to_index":1380,"sum":439706,"residue":782},{"from_index":1380,"to_index":2308,"sum":423038,"residue":782},{"from_index":2308,"to_index":452,"sum":423964,"residue":782}],"minimal_cycle":[782],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":782,"start_interval_clock_positions":[452,1380],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-453","shape":"Equilateral triangle","alpha_indices":[453,1381,2309],"clock_positions":[453,1381,2309],"native_values":[374,837,837],"rotation_degrees":58.577586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[374,837,837],"beta":{"interval_sums":[439476,422808,423734],"interval_residues":[552,552,552],"display_cycle":[552,552,552],"intervals":[{"from_index":453,"to_index":1381,"sum":439476,"residue":552},{"from_index":1381,"to_index":2309,"sum":422808,"residue":552},{"from_index":2309,"to_index":453,"sum":423734,"residue":552}],"minimal_cycle":[552],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[453,1381],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-454","shape":"Equilateral triangle","alpha_indices":[454,1382,2310],"clock_positions":[454,1382,2310],"native_values":[55,55,518],"rotation_degrees":58.706896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,55,518],"beta":{"interval_sums":[440258,423590,423590],"interval_residues":[408,408,408],"display_cycle":[408,408,408],"intervals":[{"from_index":454,"to_index":1382,"sum":440258,"residue":408},{"from_index":1382,"to_index":2310,"sum":423590,"residue":408},{"from_index":2310,"to_index":454,"sum":423590,"residue":408}],"minimal_cycle":[408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[454,1382],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-455","shape":"Equilateral triangle","alpha_indices":[455,1383,2311],"clock_positions":[455,1383,2311],"native_values":[429,892,429],"rotation_degrees":58.83620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,892,429],"beta":{"interval_sums":[439884,423216,423216],"interval_residues":[34,34,34],"display_cycle":[34,34,34],"intervals":[{"from_index":455,"to_index":1383,"sum":439884,"residue":34},{"from_index":1383,"to_index":2311,"sum":423216,"residue":34},{"from_index":2311,"to_index":455,"sum":423216,"residue":34}],"minimal_cycle":[34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[455,1383],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-456","shape":"Equilateral triangle","alpha_indices":[456,1384,2312],"clock_positions":[456,1384,2312],"native_values":[484,21,21],"rotation_degrees":58.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[484,21,21],"beta":{"interval_sums":[440292,423624,423624],"interval_residues":[442,442,442],"display_cycle":[442,442,442],"intervals":[{"from_index":456,"to_index":1384,"sum":440292,"residue":442},{"from_index":1384,"to_index":2312,"sum":423624,"residue":442},{"from_index":2312,"to_index":456,"sum":423624,"residue":442}],"minimal_cycle":[442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[456,1384],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-457","shape":"Equilateral triangle","alpha_indices":[457,1385,2313],"clock_positions":[457,1385,2313],"native_values":[913,913,450],"rotation_degrees":59.0948275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[913,913,450],"beta":{"interval_sums":[439400,422732,423658],"interval_residues":[476,476,476],"display_cycle":[476,476,476],"intervals":[{"from_index":457,"to_index":1385,"sum":439400,"residue":476},{"from_index":1385,"to_index":2313,"sum":422732,"residue":476},{"from_index":2313,"to_index":457,"sum":423658,"residue":476}],"minimal_cycle":[476],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":476,"start_interval_clock_positions":[457,1385],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-458","shape":"Equilateral triangle","alpha_indices":[458,1386,2314],"clock_positions":[458,1386,2314],"native_values":[471,8,471],"rotation_degrees":59.224137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,8,471],"beta":{"interval_sums":[439842,423174,424100],"interval_residues":[918,918,918],"display_cycle":[918,918,918],"intervals":[{"from_index":458,"to_index":1386,"sum":439842,"residue":918},{"from_index":1386,"to_index":2314,"sum":423174,"residue":918},{"from_index":2314,"to_index":458,"sum":424100,"residue":918}],"minimal_cycle":[918],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":918,"start_interval_clock_positions":[458,1386],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-459","shape":"Equilateral triangle","alpha_indices":[459,1387,2315],"clock_positions":[459,1387,2315],"native_values":[458,921,921],"rotation_degrees":59.35344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[458,921,921],"beta":{"interval_sums":[439392,422724,423650],"interval_residues":[468,468,468],"display_cycle":[468,468,468],"intervals":[{"from_index":459,"to_index":1387,"sum":439392,"residue":468},{"from_index":1387,"to_index":2315,"sum":422724,"residue":468},{"from_index":2315,"to_index":459,"sum":423650,"residue":468}],"minimal_cycle":[468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[459,1387],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-460","shape":"Equilateral triangle","alpha_indices":[460,1388,2316],"clock_positions":[460,1388,2316],"native_values":[3,3,466],"rotation_degrees":59.48275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,3,466],"beta":{"interval_sums":[440310,423642,423642],"interval_residues":[460,460,460],"display_cycle":[460,460,460],"intervals":[{"from_index":460,"to_index":1388,"sum":440310,"residue":460},{"from_index":1388,"to_index":2316,"sum":423642,"residue":460},{"from_index":2316,"to_index":460,"sum":423642,"residue":460}],"minimal_cycle":[460],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":460,"start_interval_clock_positions":[460,1388],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-461","shape":"Equilateral triangle","alpha_indices":[461,1389,2317],"clock_positions":[461,1389,2317],"native_values":[461,924,461],"rotation_degrees":59.61206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,924,461],"beta":{"interval_sums":[439852,423184,423184],"interval_residues":[2,2,2],"display_cycle":[2,2,2],"intervals":[{"from_index":461,"to_index":1389,"sum":439852,"residue":2},{"from_index":1389,"to_index":2317,"sum":423184,"residue":2},{"from_index":2317,"to_index":461,"sum":423184,"residue":2}],"minimal_cycle":[2],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[461,1389],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-462","shape":"Equilateral triangle","alpha_indices":[462,1390,2318],"clock_positions":[462,1390,2318],"native_values":[464,1,1],"rotation_degrees":59.741379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[464,1,1],"beta":{"interval_sums":[440312,423644,423644],"interval_residues":[462,462,462],"display_cycle":[462,462,462],"intervals":[{"from_index":462,"to_index":1390,"sum":440312,"residue":462},{"from_index":1390,"to_index":2318,"sum":423644,"residue":462},{"from_index":2318,"to_index":462,"sum":423644,"residue":462}],"minimal_cycle":[462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":462,"start_interval_clock_positions":[462,1390],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-463","shape":"Equilateral triangle","alpha_indices":[463,1391,2319],"clock_positions":[463,1391,2319],"native_values":[925,925,462],"rotation_degrees":59.87068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[925,925,462],"beta":{"interval_sums":[439388,422720,423646],"interval_residues":[464,464,464],"display_cycle":[464,464,464],"intervals":[{"from_index":463,"to_index":1391,"sum":439388,"residue":464},{"from_index":1391,"to_index":2319,"sum":422720,"residue":464},{"from_index":2319,"to_index":463,"sum":423646,"residue":464}],"minimal_cycle":[464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":464,"start_interval_clock_positions":[463,1391],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-464","shape":"Equilateral triangle","alpha_indices":[464,1392,2320],"clock_positions":[464,1392,2320],"native_values":[463,926,463],"rotation_degrees":60.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[463,926,463],"beta":{"interval_sums":[439850,423182,424108],"interval_residues":[0,0,0],"display_cycle":[926,926,926],"intervals":[{"from_index":464,"to_index":1392,"sum":439850,"residue":0},{"from_index":1392,"to_index":2320,"sum":423182,"residue":0},{"from_index":2320,"to_index":464,"sum":424108,"residue":0}],"minimal_cycle":[0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":926,"start_interval_clock_positions":[464,1392],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-465","shape":"Equilateral triangle","alpha_indices":[465,1393,2321],"clock_positions":[465,1393,2321],"native_values":[462,925,925],"rotation_degrees":60.12931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[462,925,925],"beta":{"interval_sums":[439388,422720,423646],"interval_residues":[464,464,464],"display_cycle":[464,464,464],"intervals":[{"from_index":465,"to_index":1393,"sum":439388,"residue":464},{"from_index":1393,"to_index":2321,"sum":422720,"residue":464},{"from_index":2321,"to_index":465,"sum":423646,"residue":464}],"minimal_cycle":[464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":464,"start_interval_clock_positions":[465,1393],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-466","shape":"Equilateral triangle","alpha_indices":[466,1394,2322],"clock_positions":[466,1394,2322],"native_values":[925,925,462],"rotation_degrees":60.258620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[925,925,462],"beta":{"interval_sums":[439388,422720,423646],"interval_residues":[464,464,464],"display_cycle":[464,464,464],"intervals":[{"from_index":466,"to_index":1394,"sum":439388,"residue":464},{"from_index":1394,"to_index":2322,"sum":422720,"residue":464},{"from_index":2322,"to_index":466,"sum":423646,"residue":464}],"minimal_cycle":[464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":464,"start_interval_clock_positions":[466,1394],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-467","shape":"Equilateral triangle","alpha_indices":[467,1395,2323],"clock_positions":[467,1395,2323],"native_values":[461,924,461],"rotation_degrees":60.38793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,924,461],"beta":{"interval_sums":[439852,422258,424110],"interval_residues":[2,2,2],"display_cycle":[2,2,2],"intervals":[{"from_index":467,"to_index":1395,"sum":439852,"residue":2},{"from_index":1395,"to_index":2323,"sum":422258,"residue":2},{"from_index":2323,"to_index":467,"sum":424110,"residue":2}],"minimal_cycle":[2],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[467,1395],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-468","shape":"Equilateral triangle","alpha_indices":[468,1396,2324],"clock_positions":[468,1396,2324],"native_values":[460,923,923],"rotation_degrees":60.51724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[460,923,923],"beta":{"interval_sums":[440316,421796,423648],"interval_residues":[466,466,466],"display_cycle":[466,466,466],"intervals":[{"from_index":468,"to_index":1396,"sum":440316,"residue":466},{"from_index":1396,"to_index":2324,"sum":421796,"residue":466},{"from_index":2324,"to_index":468,"sum":423648,"residue":466}],"minimal_cycle":[466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[468,1396],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-469","shape":"Equilateral triangle","alpha_indices":[469,1397,2325],"clock_positions":[469,1397,2325],"native_values":[921,921,458],"rotation_degrees":60.64655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[921,921,458],"beta":{"interval_sums":[440318,421798,423650],"interval_residues":[468,468,468],"display_cycle":[468,468,468],"intervals":[{"from_index":469,"to_index":1397,"sum":440318,"residue":468},{"from_index":1397,"to_index":2325,"sum":421798,"residue":468},{"from_index":2325,"to_index":469,"sum":423650,"residue":468}],"minimal_cycle":[468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[469,1397],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-470","shape":"Equilateral triangle","alpha_indices":[470,1398,2326],"clock_positions":[470,1398,2326],"native_values":[455,918,455],"rotation_degrees":60.775862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[455,918,455],"beta":{"interval_sums":[440784,421338,424116],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":470,"to_index":1398,"sum":440784,"residue":8},{"from_index":1398,"to_index":2326,"sum":421338,"residue":8},{"from_index":2326,"to_index":470,"sum":424116,"residue":8}],"minimal_cycle":[8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[470,1398],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-471","shape":"Equilateral triangle","alpha_indices":[471,1399,2327],"clock_positions":[471,1399,2327],"native_values":[450,913,913],"rotation_degrees":60.9051724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[450,913,913],"beta":{"interval_sums":[441252,420880,423658],"interval_residues":[476,476,476],"display_cycle":[476,476,476],"intervals":[{"from_index":471,"to_index":1399,"sum":441252,"residue":476},{"from_index":1399,"to_index":2327,"sum":420880,"residue":476},{"from_index":2327,"to_index":471,"sum":423658,"residue":476}],"minimal_cycle":[476],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":476,"start_interval_clock_positions":[471,1399],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-472","shape":"Equilateral triangle","alpha_indices":[472,1400,2328],"clock_positions":[472,1400,2328],"native_values":[905,905,442],"rotation_degrees":61.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[905,905,442],"beta":{"interval_sums":[441260,420888,423666],"interval_residues":[484,484,484],"display_cycle":[484,484,484],"intervals":[{"from_index":472,"to_index":1400,"sum":441260,"residue":484},{"from_index":1400,"to_index":2328,"sum":420888,"residue":484},{"from_index":2328,"to_index":472,"sum":423666,"residue":484}],"minimal_cycle":[484],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":484,"start_interval_clock_positions":[472,1400],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-473","shape":"Equilateral triangle","alpha_indices":[473,1401,2329],"clock_positions":[473,1401,2329],"native_values":[429,892,429],"rotation_degrees":61.16379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,892,429],"beta":{"interval_sums":[441736,420438,424142],"interval_residues":[34,34,34],"display_cycle":[34,34,34],"intervals":[{"from_index":473,"to_index":1401,"sum":441736,"residue":34},{"from_index":1401,"to_index":2329,"sum":420438,"residue":34},{"from_index":2329,"to_index":473,"sum":424142,"residue":34}],"minimal_cycle":[34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[473,1401],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-474","shape":"Equilateral triangle","alpha_indices":[474,1402,2330],"clock_positions":[474,1402,2330],"native_values":[408,871,871],"rotation_degrees":61.293103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[408,871,871],"beta":{"interval_sums":[442220,419996,423700],"interval_residues":[518,518,518],"display_cycle":[518,518,518],"intervals":[{"from_index":474,"to_index":1402,"sum":442220,"residue":518},{"from_index":1402,"to_index":2330,"sum":419996,"residue":518},{"from_index":2330,"to_index":474,"sum":423700,"residue":518}],"minimal_cycle":[518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[474,1402],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-475","shape":"Equilateral triangle","alpha_indices":[475,1403,2331],"clock_positions":[475,1403,2331],"native_values":[837,837,374],"rotation_degrees":61.422413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[837,837,374],"beta":{"interval_sums":[442254,420030,423734],"interval_residues":[552,552,552],"display_cycle":[552,552,552],"intervals":[{"from_index":475,"to_index":1403,"sum":442254,"residue":552},{"from_index":1403,"to_index":2331,"sum":420030,"residue":552},{"from_index":2331,"to_index":475,"sum":423734,"residue":552}],"minimal_cycle":[552],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[475,1403],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-476","shape":"Equilateral triangle","alpha_indices":[476,1404,2332],"clock_positions":[476,1404,2332],"native_values":[319,782,319],"rotation_degrees":61.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[319,782,319],"beta":{"interval_sums":[442772,419622,424252],"interval_residues":[144,144,144],"display_cycle":[144,144,144],"intervals":[{"from_index":476,"to_index":1404,"sum":442772,"residue":144},{"from_index":1404,"to_index":2332,"sum":419622,"residue":144},{"from_index":2332,"to_index":476,"sum":424252,"residue":144}],"minimal_cycle":[144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[476,1404],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-477","shape":"Equilateral triangle","alpha_indices":[477,1405,2333],"clock_positions":[477,1405,2333],"native_values":[230,693,693],"rotation_degrees":61.68103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[230,693,693],"beta":{"interval_sums":[443324,419248,423878],"interval_residues":[696,696,696],"display_cycle":[696,696,696],"intervals":[{"from_index":477,"to_index":1405,"sum":443324,"residue":696},{"from_index":1405,"to_index":2333,"sum":419248,"residue":696},{"from_index":2333,"to_index":477,"sum":423878,"residue":696}],"minimal_cycle":[696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":696,"start_interval_clock_positions":[477,1405],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-478","shape":"Equilateral triangle","alpha_indices":[478,1406,2334],"clock_positions":[478,1406,2334],"native_values":[549,549,86],"rotation_degrees":61.810344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[549,549,86],"beta":{"interval_sums":[443468,419392,424022],"interval_residues":[840,840,840],"display_cycle":[840,840,840],"intervals":[{"from_index":478,"to_index":1406,"sum":443468,"residue":840},{"from_index":1406,"to_index":2334,"sum":419392,"residue":840},{"from_index":2334,"to_index":478,"sum":424022,"residue":840}],"minimal_cycle":[840],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":840,"start_interval_clock_positions":[478,1406],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-479","shape":"Equilateral triangle","alpha_indices":[479,1407,2335],"clock_positions":[479,1407,2335],"native_values":[779,316,779],"rotation_degrees":61.939655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[779,316,779],"beta":{"interval_sums":[443238,419162,423792],"interval_residues":[610,610,610],"display_cycle":[610,610,610],"intervals":[{"from_index":479,"to_index":1407,"sum":443238,"residue":610},{"from_index":1407,"to_index":2335,"sum":419162,"residue":610},{"from_index":2335,"to_index":479,"sum":423792,"residue":610}],"minimal_cycle":[610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[479,1407],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-480","shape":"Equilateral triangle","alpha_indices":[480,1408,2336],"clock_positions":[480,1408,2336],"native_values":[402,865,865],"rotation_degrees":62.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[402,865,865],"beta":{"interval_sums":[443152,419076,423706],"interval_residues":[524,524,524],"display_cycle":[524,524,524],"intervals":[{"from_index":480,"to_index":1408,"sum":443152,"residue":524},{"from_index":1408,"to_index":2336,"sum":419076,"residue":524},{"from_index":2336,"to_index":480,"sum":423706,"residue":524}],"minimal_cycle":[524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[480,1408],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-481","shape":"Equilateral triangle","alpha_indices":[481,1409,2337],"clock_positions":[481,1409,2337],"native_values":[255,255,718],"rotation_degrees":62.19827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[255,255,718],"beta":{"interval_sums":[443762,419686,423390],"interval_residues":[208,208,208],"display_cycle":[208,208,208],"intervals":[{"from_index":481,"to_index":1409,"sum":443762,"residue":208},{"from_index":1409,"to_index":2337,"sum":419686,"residue":208},{"from_index":2337,"to_index":481,"sum":423390,"residue":208}],"minimal_cycle":[208],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[481,1409],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-482","shape":"Equilateral triangle","alpha_indices":[482,1410,2338],"clock_positions":[482,1410,2338],"native_values":[657,194,657],"rotation_degrees":62.327586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,194,657],"beta":{"interval_sums":[443360,420210,422988],"interval_residues":[732,732,732],"display_cycle":[732,732,732],"intervals":[{"from_index":482,"to_index":1410,"sum":443360,"residue":732},{"from_index":1410,"to_index":2338,"sum":420210,"residue":732},{"from_index":2338,"to_index":482,"sum":422988,"residue":732}],"minimal_cycle":[732],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":732,"start_interval_clock_positions":[482,1410],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-483","shape":"Equilateral triangle","alpha_indices":[483,1411,2339],"clock_positions":[483,1411,2339],"native_values":[912,449,449],"rotation_degrees":62.456896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[912,449,449],"beta":{"interval_sums":[442642,420418,423196],"interval_residues":[14,14,14],"display_cycle":[14,14,14],"intervals":[{"from_index":483,"to_index":1411,"sum":442642,"residue":14},{"from_index":1411,"to_index":2339,"sum":420418,"residue":14},{"from_index":2339,"to_index":483,"sum":423196,"residue":14}],"minimal_cycle":[14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[483,1411],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-484","shape":"Equilateral triangle","alpha_indices":[484,1412,2340],"clock_positions":[484,1412,2340],"native_values":[643,643,180],"rotation_degrees":62.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[643,643,180],"beta":{"interval_sums":[442448,420224,423928],"interval_residues":[746,746,746],"display_cycle":[746,746,746],"intervals":[{"from_index":484,"to_index":1412,"sum":442448,"residue":746},{"from_index":1412,"to_index":2340,"sum":420224,"residue":746},{"from_index":2340,"to_index":484,"sum":423928,"residue":746}],"minimal_cycle":[746],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":746,"start_interval_clock_positions":[484,1412],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-485","shape":"Equilateral triangle","alpha_indices":[485,1413,2341],"clock_positions":[485,1413,2341],"native_values":[629,166,629],"rotation_degrees":62.71551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[629,166,629],"beta":{"interval_sums":[442462,420238,423942],"interval_residues":[760,760,760],"display_cycle":[760,760,760],"intervals":[{"from_index":485,"to_index":1413,"sum":442462,"residue":760},{"from_index":1413,"to_index":2341,"sum":420238,"residue":760},{"from_index":2341,"to_index":485,"sum":423942,"residue":760}],"minimal_cycle":[760],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":760,"start_interval_clock_positions":[485,1413],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-486","shape":"Equilateral triangle","alpha_indices":[486,1414,2342],"clock_positions":[486,1414,2342],"native_values":[346,809,809],"rotation_degrees":62.8448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[346,809,809],"beta":{"interval_sums":[442282,420058,423762],"interval_residues":[580,580,580],"display_cycle":[580,580,580],"intervals":[{"from_index":486,"to_index":1414,"sum":442282,"residue":580},{"from_index":1414,"to_index":2342,"sum":420058,"residue":580},{"from_index":2342,"to_index":486,"sum":423762,"residue":580}],"minimal_cycle":[580],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":580,"start_interval_clock_positions":[486,1414],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-487","shape":"Equilateral triangle","alpha_indices":[487,1415,2343],"clock_positions":[487,1415,2343],"native_values":[49,49,512],"rotation_degrees":62.974137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[49,49,512],"beta":{"interval_sums":[443042,420818,423596],"interval_residues":[414,414,414],"display_cycle":[414,414,414],"intervals":[{"from_index":487,"to_index":1415,"sum":443042,"residue":414},{"from_index":1415,"to_index":2343,"sum":420818,"residue":414},{"from_index":2343,"to_index":487,"sum":423596,"residue":414}],"minimal_cycle":[414],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[487,1415],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-488","shape":"Equilateral triangle","alpha_indices":[488,1416,2344],"clock_positions":[488,1416,2344],"native_values":[395,858,395],"rotation_degrees":63.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[395,858,395],"beta":{"interval_sums":[442696,420472,423250],"interval_residues":[68,68,68],"display_cycle":[68,68,68],"intervals":[{"from_index":488,"to_index":1416,"sum":442696,"residue":68},{"from_index":1416,"to_index":2344,"sum":420472,"residue":68},{"from_index":2344,"to_index":488,"sum":423250,"residue":68}],"minimal_cycle":[68],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":68,"start_interval_clock_positions":[488,1416],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-489","shape":"Equilateral triangle","alpha_indices":[489,1417,2345],"clock_positions":[489,1417,2345],"native_values":[444,907,907],"rotation_degrees":63.23275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[444,907,907],"beta":{"interval_sums":[443110,419960,422738],"interval_residues":[482,482,482],"display_cycle":[482,482,482],"intervals":[{"from_index":489,"to_index":1417,"sum":443110,"residue":482},{"from_index":1417,"to_index":2345,"sum":419960,"residue":482},{"from_index":2345,"to_index":489,"sum":422738,"residue":482}],"minimal_cycle":[482],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":482,"start_interval_clock_positions":[489,1417],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-490","shape":"Equilateral triangle","alpha_indices":[490,1418,2346],"clock_positions":[490,1418,2346],"native_values":[839,839,376],"rotation_degrees":63.36206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[839,839,376],"beta":{"interval_sums":[443178,420028,422806],"interval_residues":[550,550,550],"display_cycle":[550,550,550],"intervals":[{"from_index":490,"to_index":1418,"sum":443178,"residue":550},{"from_index":1418,"to_index":2346,"sum":420028,"residue":550},{"from_index":2346,"to_index":490,"sum":422806,"residue":550}],"minimal_cycle":[550],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":550,"start_interval_clock_positions":[490,1418],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-491","shape":"Equilateral triangle","alpha_indices":[491,1419,2347],"clock_positions":[491,1419,2347],"native_values":[357,820,357],"rotation_degrees":63.491379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,820,357],"beta":{"interval_sums":[443660,419584,423288],"interval_residues":[106,106,106],"display_cycle":[106,106,106],"intervals":[{"from_index":491,"to_index":1419,"sum":443660,"residue":106},{"from_index":1419,"to_index":2347,"sum":419584,"residue":106},{"from_index":2347,"to_index":491,"sum":423288,"residue":106}],"minimal_cycle":[106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[491,1419],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-492","shape":"Equilateral triangle","alpha_indices":[492,1420,2348],"clock_positions":[492,1420,2348],"native_values":[270,733,733],"rotation_degrees":63.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[270,733,733],"beta":{"interval_sums":[444210,419208,422912],"interval_residues":[656,656,656],"display_cycle":[656,656,656],"intervals":[{"from_index":492,"to_index":1420,"sum":444210,"residue":656},{"from_index":1420,"to_index":2348,"sum":419208,"residue":656},{"from_index":2348,"to_index":492,"sum":422912,"residue":656}],"minimal_cycle":[656],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":656,"start_interval_clock_positions":[492,1420],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-493","shape":"Equilateral triangle","alpha_indices":[493,1421,2349],"clock_positions":[493,1421,2349],"native_values":[627,627,164],"rotation_degrees":63.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[627,627,164],"beta":{"interval_sums":[444316,419314,423018],"interval_residues":[762,762,762],"display_cycle":[762,762,762],"intervals":[{"from_index":493,"to_index":1421,"sum":444316,"residue":762},{"from_index":1421,"to_index":2349,"sum":419314,"residue":762},{"from_index":2349,"to_index":493,"sum":423018,"residue":762}],"minimal_cycle":[762],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":762,"start_interval_clock_positions":[493,1421],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-494","shape":"Equilateral triangle","alpha_indices":[494,1422,2350],"clock_positions":[494,1422,2350],"native_values":[897,434,897],"rotation_degrees":63.87931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[897,434,897],"beta":{"interval_sums":[444046,419044,422748],"interval_residues":[492,492,492],"display_cycle":[492,492,492],"intervals":[{"from_index":494,"to_index":1422,"sum":444046,"residue":492},{"from_index":1422,"to_index":2350,"sum":419044,"residue":492},{"from_index":2350,"to_index":494,"sum":422748,"residue":492}],"minimal_cycle":[492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":492,"start_interval_clock_positions":[494,1422],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-495","shape":"Equilateral triangle","alpha_indices":[495,1423,2351],"clock_positions":[495,1423,2351],"native_values":[598,135,135],"rotation_degrees":64.00862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[598,135,135],"beta":{"interval_sums":[443882,419806,423510],"interval_residues":[328,328,328],"display_cycle":[328,328,328],"intervals":[{"from_index":495,"to_index":1423,"sum":443882,"residue":328},{"from_index":1423,"to_index":2351,"sum":419806,"residue":328},{"from_index":2351,"to_index":495,"sum":423510,"residue":328}],"minimal_cycle":[328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":328,"start_interval_clock_positions":[495,1423],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-496","shape":"Equilateral triangle","alpha_indices":[496,1424,2352],"clock_positions":[496,1424,2352],"native_values":[569,569,106],"rotation_degrees":64.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[569,569,106],"beta":{"interval_sums":[443448,419372,424002],"interval_residues":[820,820,820],"display_cycle":[820,820,820],"intervals":[{"from_index":496,"to_index":1424,"sum":443448,"residue":820},{"from_index":1424,"to_index":2352,"sum":419372,"residue":820},{"from_index":2352,"to_index":496,"sum":424002,"residue":820}],"minimal_cycle":[820],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":820,"start_interval_clock_positions":[496,1424],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-497","shape":"Equilateral triangle","alpha_indices":[497,1425,2353],"clock_positions":[497,1425,2353],"native_values":[241,704,241],"rotation_degrees":64.26724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,704,241],"beta":{"interval_sums":[443776,418774,424330],"interval_residues":[222,222,222],"display_cycle":[222,222,222],"intervals":[{"from_index":497,"to_index":1425,"sum":443776,"residue":222},{"from_index":1425,"to_index":2353,"sum":418774,"residue":222},{"from_index":2353,"to_index":497,"sum":424330,"residue":222}],"minimal_cycle":[222],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":222,"start_interval_clock_positions":[497,1425],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-498","shape":"Equilateral triangle","alpha_indices":[498,1426,2354],"clock_positions":[498,1426,2354],"native_values":[810,347,347],"rotation_degrees":64.39655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[810,347,347],"beta":{"interval_sums":[443670,418668,424224],"interval_residues":[116,116,116],"display_cycle":[116,116,116],"intervals":[{"from_index":498,"to_index":1426,"sum":443670,"residue":116},{"from_index":1426,"to_index":2354,"sum":418668,"residue":116},{"from_index":2354,"to_index":498,"sum":424224,"residue":116}],"minimal_cycle":[116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[498,1426],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-499","shape":"Equilateral triangle","alpha_indices":[499,1427,2355],"clock_positions":[499,1427,2355],"native_values":[125,125,588],"rotation_degrees":64.52586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,125,588],"beta":{"interval_sums":[443892,418890,424446],"interval_residues":[338,338,338],"display_cycle":[338,338,338],"intervals":[{"from_index":499,"to_index":1427,"sum":443892,"residue":338},{"from_index":1427,"to_index":2355,"sum":418890,"residue":338},{"from_index":2355,"to_index":499,"sum":424446,"residue":338}],"minimal_cycle":[338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[499,1427],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-500","shape":"Equilateral triangle","alpha_indices":[500,1428,2356],"clock_positions":[500,1428,2356],"native_values":[9,472,9],"rotation_degrees":64.65517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,472,9],"beta":{"interval_sums":[444008,419006,424562],"interval_residues":[454,454,454],"display_cycle":[454,454,454],"intervals":[{"from_index":500,"to_index":1428,"sum":444008,"residue":454},{"from_index":1428,"to_index":2356,"sum":419006,"residue":454},{"from_index":2356,"to_index":500,"sum":424562,"residue":454}],"minimal_cycle":[454],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":454,"start_interval_clock_positions":[500,1428],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-501","shape":"Equilateral triangle","alpha_indices":[501,1429,2357],"clock_positions":[501,1429,2357],"native_values":[134,597,597],"rotation_degrees":64.78448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[134,597,597],"beta":{"interval_sums":[444346,418418,423974],"interval_residues":[792,792,792],"display_cycle":[792,792,792],"intervals":[{"from_index":501,"to_index":1429,"sum":444346,"residue":792},{"from_index":1429,"to_index":2357,"sum":418418,"residue":792},{"from_index":2357,"to_index":501,"sum":423974,"residue":792}],"minimal_cycle":[792],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":792,"start_interval_clock_positions":[501,1429],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-502","shape":"Equilateral triangle","alpha_indices":[502,1430,2358],"clock_positions":[502,1430,2358],"native_values":[143,143,606],"rotation_degrees":64.91379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[143,143,606],"beta":{"interval_sums":[444800,418872,423502],"interval_residues":[320,320,320],"display_cycle":[320,320,320],"intervals":[{"from_index":502,"to_index":1430,"sum":444800,"residue":320},{"from_index":1430,"to_index":2358,"sum":418872,"residue":320},{"from_index":2358,"to_index":502,"sum":423502,"residue":320}],"minimal_cycle":[320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[502,1430],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-503","shape":"Equilateral triangle","alpha_indices":[503,1431,2359],"clock_positions":[503,1431,2359],"native_values":[277,740,277],"rotation_degrees":65.04310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,740,277],"beta":{"interval_sums":[444666,418738,423368],"interval_residues":[186,186,186],"display_cycle":[186,186,186],"intervals":[{"from_index":503,"to_index":1431,"sum":444666,"residue":186},{"from_index":1431,"to_index":2359,"sum":418738,"residue":186},{"from_index":2359,"to_index":503,"sum":423368,"residue":186}],"minimal_cycle":[186],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":186,"start_interval_clock_positions":[503,1431],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-504","shape":"Equilateral triangle","alpha_indices":[504,1432,2360],"clock_positions":[504,1432,2360],"native_values":[420,883,883],"rotation_degrees":65.17241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[420,883,883],"beta":{"interval_sums":[444986,418132,422762],"interval_residues":[506,506,506],"display_cycle":[506,506,506],"intervals":[{"from_index":504,"to_index":1432,"sum":444986,"residue":506},{"from_index":1432,"to_index":2360,"sum":418132,"residue":506},{"from_index":2360,"to_index":504,"sum":422762,"residue":506}],"minimal_cycle":[506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":506,"start_interval_clock_positions":[504,1432],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-505","shape":"Equilateral triangle","alpha_indices":[505,1433,2361],"clock_positions":[505,1433,2361],"native_values":[697,697,234],"rotation_degrees":65.30172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[697,697,234],"beta":{"interval_sums":[445172,418318,422948],"interval_residues":[692,692,692],"display_cycle":[692,692,692],"intervals":[{"from_index":505,"to_index":1433,"sum":445172,"residue":692},{"from_index":1433,"to_index":2361,"sum":418318,"residue":692},{"from_index":2361,"to_index":505,"sum":422948,"residue":692}],"minimal_cycle":[692],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":692,"start_interval_clock_positions":[505,1433],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-506","shape":"Equilateral triangle","alpha_indices":[506,1434,2362],"clock_positions":[506,1434,2362],"native_values":[191,654,191],"rotation_degrees":65.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[191,654,191],"beta":{"interval_sums":[445678,417898,423454],"interval_residues":[272,272,272],"display_cycle":[272,272,272],"intervals":[{"from_index":506,"to_index":1434,"sum":445678,"residue":272},{"from_index":1434,"to_index":2362,"sum":417898,"residue":272},{"from_index":2362,"to_index":506,"sum":423454,"residue":272}],"minimal_cycle":[272],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":272,"start_interval_clock_positions":[506,1434],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-507","shape":"Equilateral triangle","alpha_indices":[507,1435,2363],"clock_positions":[507,1435,2363],"native_values":[888,425,425],"rotation_degrees":65.5603448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[888,425,425],"beta":{"interval_sums":[445444,417664,423220],"interval_residues":[38,38,38],"display_cycle":[38,38,38],"intervals":[{"from_index":507,"to_index":1435,"sum":445444,"residue":38},{"from_index":1435,"to_index":2363,"sum":417664,"residue":38},{"from_index":2363,"to_index":507,"sum":423220,"residue":38}],"minimal_cycle":[38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[507,1435],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-508","shape":"Equilateral triangle","alpha_indices":[508,1436,2364],"clock_positions":[508,1436,2364],"native_values":[153,153,616],"rotation_degrees":65.6896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[153,153,616],"beta":{"interval_sums":[445716,417936,423492],"interval_residues":[310,310,310],"display_cycle":[310,310,310],"intervals":[{"from_index":508,"to_index":1436,"sum":445716,"residue":310},{"from_index":1436,"to_index":2364,"sum":417936,"residue":310},{"from_index":2364,"to_index":508,"sum":423492,"residue":310}],"minimal_cycle":[310],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":310,"start_interval_clock_positions":[508,1436],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-509","shape":"Equilateral triangle","alpha_indices":[509,1437,2365],"clock_positions":[509,1437,2365],"native_values":[115,578,115],"rotation_degrees":65.81896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,578,115],"beta":{"interval_sums":[445754,417974,423530],"interval_residues":[348,348,348],"display_cycle":[348,348,348],"intervals":[{"from_index":509,"to_index":1437,"sum":445754,"residue":348},{"from_index":1437,"to_index":2365,"sum":417974,"residue":348},{"from_index":2365,"to_index":509,"sum":423530,"residue":348}],"minimal_cycle":[348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[509,1437],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-510","shape":"Equilateral triangle","alpha_indices":[510,1438,2366],"clock_positions":[510,1438,2366],"native_values":[268,731,731],"rotation_degrees":65.94827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[268,731,731],"beta":{"interval_sums":[446064,417358,422914],"interval_residues":[658,658,658],"display_cycle":[658,658,658],"intervals":[{"from_index":510,"to_index":1438,"sum":446064,"residue":658},{"from_index":1438,"to_index":2366,"sum":417358,"residue":658},{"from_index":2366,"to_index":510,"sum":422914,"residue":658}],"minimal_cycle":[658],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":658,"start_interval_clock_positions":[510,1438],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-511","shape":"Equilateral triangle","alpha_indices":[511,1439,2367],"clock_positions":[511,1439,2367],"native_values":[383,383,846],"rotation_degrees":66.07758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[383,383,846],"beta":{"interval_sums":[446412,417706,422336],"interval_residues":[80,80,80],"display_cycle":[80,80,80],"intervals":[{"from_index":511,"to_index":1439,"sum":446412,"residue":80},{"from_index":1439,"to_index":2367,"sum":417706,"residue":80},{"from_index":2367,"to_index":511,"sum":422336,"residue":80}],"minimal_cycle":[80],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[511,1439],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-512","shape":"Equilateral triangle","alpha_indices":[512,1440,2368],"clock_positions":[512,1440,2368],"native_values":[651,188,651],"rotation_degrees":66.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[651,188,651],"beta":{"interval_sums":[446144,418364,422068],"interval_residues":[738,738,738],"display_cycle":[738,738,738],"intervals":[{"from_index":512,"to_index":1440,"sum":446144,"residue":738},{"from_index":1440,"to_index":2368,"sum":418364,"residue":738},{"from_index":2368,"to_index":512,"sum":422068,"residue":738}],"minimal_cycle":[738],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":738,"start_interval_clock_positions":[512,1440],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-513","shape":"Equilateral triangle","alpha_indices":[513,1441,2369],"clock_positions":[513,1441,2369],"native_values":[108,571,571],"rotation_degrees":66.33620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[108,571,571],"beta":{"interval_sums":[446224,418444,422148],"interval_residues":[818,818,818],"display_cycle":[818,818,818],"intervals":[{"from_index":513,"to_index":1441,"sum":446224,"residue":818},{"from_index":1441,"to_index":2369,"sum":418444,"residue":818},{"from_index":2369,"to_index":513,"sum":422148,"residue":818}],"minimal_cycle":[818],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":818,"start_interval_clock_positions":[513,1441],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-514","shape":"Equilateral triangle","alpha_indices":[514,1442,2370],"clock_positions":[514,1442,2370],"native_values":[759,759,296],"rotation_degrees":66.46551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[759,759,296],"beta":{"interval_sums":[446036,418256,421960],"interval_residues":[630,630,630],"display_cycle":[630,630,630],"intervals":[{"from_index":514,"to_index":1442,"sum":446036,"residue":630},{"from_index":1442,"to_index":2370,"sum":418256,"residue":630},{"from_index":2370,"to_index":514,"sum":421960,"residue":630}],"minimal_cycle":[630],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":630,"start_interval_clock_positions":[514,1442],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-515","shape":"Equilateral triangle","alpha_indices":[515,1443,2371],"clock_positions":[515,1443,2371],"native_values":[867,404,867],"rotation_degrees":66.59482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[867,404,867],"beta":{"interval_sums":[445928,418148,421852],"interval_residues":[522,522,522],"display_cycle":[522,522,522],"intervals":[{"from_index":515,"to_index":1443,"sum":445928,"residue":522},{"from_index":1443,"to_index":2371,"sum":418148,"residue":522},{"from_index":2371,"to_index":515,"sum":421852,"residue":522}],"minimal_cycle":[522],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":522,"start_interval_clock_positions":[515,1443],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-516","shape":"Equilateral triangle","alpha_indices":[516,1444,2372],"clock_positions":[516,1444,2372],"native_values":[700,237,237],"rotation_degrees":66.72413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[700,237,237],"beta":{"interval_sums":[445632,418778,422482],"interval_residues":[226,226,226],"display_cycle":[226,226,226],"intervals":[{"from_index":516,"to_index":1444,"sum":445632,"residue":226},{"from_index":1444,"to_index":2372,"sum":418778,"residue":226},{"from_index":2372,"to_index":516,"sum":422482,"residue":226}],"minimal_cycle":[226],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":226,"start_interval_clock_positions":[516,1444],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-517","shape":"Equilateral triangle","alpha_indices":[517,1445,2373],"clock_positions":[517,1445,2373],"native_values":[641,641,178],"rotation_degrees":66.85344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,641,178],"beta":{"interval_sums":[445228,418374,423004],"interval_residues":[748,748,748],"display_cycle":[748,748,748],"intervals":[{"from_index":517,"to_index":1445,"sum":445228,"residue":748},{"from_index":1445,"to_index":2373,"sum":418374,"residue":748},{"from_index":2373,"to_index":517,"sum":423004,"residue":748}],"minimal_cycle":[748],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":748,"start_interval_clock_positions":[517,1445],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-518","shape":"Equilateral triangle","alpha_indices":[518,1446,2374],"clock_positions":[518,1446,2374],"native_values":[415,878,415],"rotation_degrees":66.98275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[415,878,415],"beta":{"interval_sums":[445454,417674,423230],"interval_residues":[48,48,48],"display_cycle":[48,48,48],"intervals":[{"from_index":518,"to_index":1446,"sum":445454,"residue":48},{"from_index":1446,"to_index":2374,"sum":417674,"residue":48},{"from_index":2374,"to_index":518,"sum":423230,"residue":48}],"minimal_cycle":[48],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":48,"start_interval_clock_positions":[518,1446],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-519","shape":"Equilateral triangle","alpha_indices":[519,1447,2375],"clock_positions":[519,1447,2375],"native_values":[130,593,593],"rotation_degrees":67.11206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[130,593,593],"beta":{"interval_sums":[446202,417496,423052],"interval_residues":[796,796,796],"display_cycle":[796,796,796],"intervals":[{"from_index":519,"to_index":1447,"sum":446202,"residue":796},{"from_index":1447,"to_index":2375,"sum":417496,"residue":796},{"from_index":2375,"to_index":519,"sum":423052,"residue":796}],"minimal_cycle":[796],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":796,"start_interval_clock_positions":[519,1447],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-520","shape":"Equilateral triangle","alpha_indices":[520,1448,2376],"clock_positions":[520,1448,2376],"native_values":[545,545,82],"rotation_degrees":67.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,545,82],"beta":{"interval_sums":[446250,417544,423100],"interval_residues":[844,844,844],"display_cycle":[844,844,844],"intervals":[{"from_index":520,"to_index":1448,"sum":446250,"residue":844},{"from_index":1448,"to_index":2376,"sum":417544,"residue":844},{"from_index":2376,"to_index":520,"sum":423100,"residue":844}],"minimal_cycle":[844],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":844,"start_interval_clock_positions":[520,1448],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-521","shape":"Equilateral triangle","alpha_indices":[521,1449,2377],"clock_positions":[521,1449,2377],"native_values":[675,212,675],"rotation_degrees":67.37068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[675,212,675],"beta":{"interval_sums":[446120,417414,422970],"interval_residues":[714,714,714],"display_cycle":[714,714,714],"intervals":[{"from_index":521,"to_index":1449,"sum":446120,"residue":714},{"from_index":1449,"to_index":2377,"sum":417414,"residue":714},{"from_index":2377,"to_index":521,"sum":422970,"residue":714}],"minimal_cycle":[714],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":714,"start_interval_clock_positions":[521,1449],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-522","shape":"Equilateral triangle","alpha_indices":[522,1450,2378],"clock_positions":[522,1450,2378],"native_values":[294,757,757],"rotation_degrees":67.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[294,757,757],"beta":{"interval_sums":[446038,417332,422888],"interval_residues":[632,632,632],"display_cycle":[632,632,632],"intervals":[{"from_index":522,"to_index":1450,"sum":446038,"residue":632},{"from_index":1450,"to_index":2378,"sum":417332,"residue":632},{"from_index":2378,"to_index":522,"sum":422888,"residue":632}],"minimal_cycle":[632],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":632,"start_interval_clock_positions":[522,1450],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-523","shape":"Equilateral triangle","alpha_indices":[523,1451,2379],"clock_positions":[523,1451,2379],"native_values":[43,43,506],"rotation_degrees":67.62931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[43,43,506],"beta":{"interval_sums":[446752,418046,422676],"interval_residues":[420,420,420],"display_cycle":[420,420,420],"intervals":[{"from_index":523,"to_index":1451,"sum":446752,"residue":420},{"from_index":1451,"to_index":2379,"sum":418046,"residue":420},{"from_index":2379,"to_index":523,"sum":422676,"residue":420}],"minimal_cycle":[420],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":420,"start_interval_clock_positions":[523,1451],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-524","shape":"Equilateral triangle","alpha_indices":[524,1452,2380],"clock_positions":[524,1452,2380],"native_values":[337,800,337],"rotation_degrees":67.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,800,337],"beta":{"interval_sums":[446458,417752,422382],"interval_residues":[126,126,126],"display_cycle":[126,126,126],"intervals":[{"from_index":524,"to_index":1452,"sum":446458,"residue":126},{"from_index":1452,"to_index":2380,"sum":417752,"residue":126},{"from_index":2380,"to_index":524,"sum":422382,"residue":126}],"minimal_cycle":[126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[524,1452],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-525","shape":"Equilateral triangle","alpha_indices":[525,1453,2381],"clock_positions":[525,1453,2381],"native_values":[380,843,843],"rotation_degrees":67.88793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[380,843,843],"beta":{"interval_sums":[446878,417246,421876],"interval_residues":[546,546,546],"display_cycle":[546,546,546],"intervals":[{"from_index":525,"to_index":1453,"sum":446878,"residue":546},{"from_index":1453,"to_index":2381,"sum":417246,"residue":546},{"from_index":2381,"to_index":525,"sum":421876,"residue":546}],"minimal_cycle":[546],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":546,"start_interval_clock_positions":[525,1453],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-526","shape":"Equilateral triangle","alpha_indices":[526,1454,2382],"clock_positions":[526,1454,2382],"native_values":[717,717,254],"rotation_degrees":68.01724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[717,717,254],"beta":{"interval_sums":[447004,417372,422002],"interval_residues":[672,672,672],"display_cycle":[672,672,672],"intervals":[{"from_index":526,"to_index":1454,"sum":447004,"residue":672},{"from_index":1454,"to_index":2382,"sum":417372,"residue":672},{"from_index":2382,"to_index":526,"sum":422002,"residue":672}],"minimal_cycle":[672],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":672,"start_interval_clock_positions":[526,1454],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-527","shape":"Equilateral triangle","alpha_indices":[527,1455,2383],"clock_positions":[527,1455,2383],"native_values":[171,634,171],"rotation_degrees":68.14655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,634,171],"beta":{"interval_sums":[447550,416992,422548],"interval_residues":[292,292,292],"display_cycle":[292,292,292],"intervals":[{"from_index":527,"to_index":1455,"sum":447550,"residue":292},{"from_index":1455,"to_index":2383,"sum":416992,"residue":292},{"from_index":2383,"to_index":527,"sum":422548,"residue":292}],"minimal_cycle":[292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[527,1455],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-528","shape":"Equilateral triangle","alpha_indices":[528,1456,2384],"clock_positions":[528,1456,2384],"native_values":[888,425,425],"rotation_degrees":68.27586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[888,425,425],"beta":{"interval_sums":[447296,416738,422294],"interval_residues":[38,38,38],"display_cycle":[38,38,38],"intervals":[{"from_index":528,"to_index":1456,"sum":447296,"residue":38},{"from_index":1456,"to_index":2384,"sum":416738,"residue":38},{"from_index":2384,"to_index":528,"sum":422294,"residue":38}],"minimal_cycle":[38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[528,1456],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-529","shape":"Equilateral triangle","alpha_indices":[529,1457,2385],"clock_positions":[529,1457,2385],"native_values":[133,133,596],"rotation_degrees":68.40517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,133,596],"beta":{"interval_sums":[447588,417030,422586],"interval_residues":[330,330,330],"display_cycle":[330,330,330],"intervals":[{"from_index":529,"to_index":1457,"sum":447588,"residue":330},{"from_index":1457,"to_index":2385,"sum":417030,"residue":330},{"from_index":2385,"to_index":529,"sum":422586,"residue":330}],"minimal_cycle":[330],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[529,1457],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-530","shape":"Equilateral triangle","alpha_indices":[530,1458,2386],"clock_positions":[530,1458,2386],"native_values":[95,558,95],"rotation_degrees":68.53448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,558,95],"beta":{"interval_sums":[447626,417068,422624],"interval_residues":[368,368,368],"display_cycle":[368,368,368],"intervals":[{"from_index":530,"to_index":1458,"sum":447626,"residue":368},{"from_index":1458,"to_index":2386,"sum":417068,"residue":368},{"from_index":2386,"to_index":530,"sum":422624,"residue":368}],"minimal_cycle":[368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":368,"start_interval_clock_positions":[530,1458],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-531","shape":"Equilateral triangle","alpha_indices":[531,1459,2387],"clock_positions":[531,1459,2387],"native_values":[228,691,691],"rotation_degrees":68.66379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[228,691,691],"beta":{"interval_sums":[447956,416472,422028],"interval_residues":[698,698,698],"display_cycle":[698,698,698],"intervals":[{"from_index":531,"to_index":1459,"sum":447956,"residue":698},{"from_index":1459,"to_index":2387,"sum":416472,"residue":698},{"from_index":2387,"to_index":531,"sum":422028,"residue":698}],"minimal_cycle":[698],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":698,"start_interval_clock_positions":[531,1459],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-532","shape":"Equilateral triangle","alpha_indices":[532,1460,2388],"clock_positions":[532,1460,2388],"native_values":[323,323,786],"rotation_degrees":68.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,323,786],"beta":{"interval_sums":[448324,416840,421470],"interval_residues":[140,140,140],"display_cycle":[140,140,140],"intervals":[{"from_index":532,"to_index":1460,"sum":448324,"residue":140},{"from_index":1460,"to_index":2388,"sum":416840,"residue":140},{"from_index":2388,"to_index":532,"sum":421470,"residue":140}],"minimal_cycle":[140],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":140,"start_interval_clock_positions":[532,1460],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-533","shape":"Equilateral triangle","alpha_indices":[533,1461,2389],"clock_positions":[533,1461,2389],"native_values":[551,88,551],"rotation_degrees":68.92241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,88,551],"beta":{"interval_sums":[448096,417538,421242],"interval_residues":[838,838,838],"display_cycle":[838,838,838],"intervals":[{"from_index":533,"to_index":1461,"sum":448096,"residue":838},{"from_index":1461,"to_index":2389,"sum":417538,"residue":838},{"from_index":2389,"to_index":533,"sum":421242,"residue":838}],"minimal_cycle":[838],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":838,"start_interval_clock_positions":[533,1461],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-534","shape":"Equilateral triangle","alpha_indices":[534,1462,2390],"clock_positions":[534,1462,2390],"native_values":[874,411,411],"rotation_degrees":69.05172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[874,411,411],"beta":{"interval_sums":[447310,417678,421382],"interval_residues":[52,52,52],"display_cycle":[52,52,52],"intervals":[{"from_index":534,"to_index":1462,"sum":447310,"residue":52},{"from_index":1462,"to_index":2390,"sum":417678,"residue":52},{"from_index":2390,"to_index":534,"sum":421382,"residue":52}],"minimal_cycle":[52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[534,1462],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-535","shape":"Equilateral triangle","alpha_indices":[535,1463,2391],"clock_positions":[535,1463,2391],"native_values":[499,499,36],"rotation_degrees":69.18103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[499,499,36],"beta":{"interval_sums":[447222,417590,422220],"interval_residues":[890,890,890],"display_cycle":[890,890,890],"intervals":[{"from_index":535,"to_index":1463,"sum":447222,"residue":890},{"from_index":1463,"to_index":2391,"sum":417590,"residue":890},{"from_index":2391,"to_index":535,"sum":422220,"residue":890}],"minimal_cycle":[890],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":890,"start_interval_clock_positions":[535,1463],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-536","shape":"Equilateral triangle","alpha_indices":[536,1464,2392],"clock_positions":[536,1464,2392],"native_values":[447,910,447],"rotation_degrees":69.3103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[447,910,447],"beta":{"interval_sums":[447274,416716,422272],"interval_residues":[16,16,16],"display_cycle":[16,16,16],"intervals":[{"from_index":536,"to_index":1464,"sum":447274,"residue":16},{"from_index":1464,"to_index":2392,"sum":416716,"residue":16},{"from_index":2392,"to_index":536,"sum":422272,"residue":16}],"minimal_cycle":[16],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[536,1464],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-537","shape":"Equilateral triangle","alpha_indices":[537,1465,2393],"clock_positions":[537,1465,2393],"native_values":[20,483,483],"rotation_degrees":69.4396551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[20,483,483],"beta":{"interval_sums":[448164,416680,422236],"interval_residues":[906,906,906],"display_cycle":[906,906,906],"intervals":[{"from_index":537,"to_index":1465,"sum":448164,"residue":906},{"from_index":1465,"to_index":2393,"sum":416680,"residue":906},{"from_index":2393,"to_index":537,"sum":422236,"residue":906}],"minimal_cycle":[906],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":906,"start_interval_clock_positions":[537,1465],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-538","shape":"Equilateral triangle","alpha_indices":[538,1466,2394],"clock_positions":[538,1466,2394],"native_values":[467,467,4],"rotation_degrees":69.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[467,467,4],"beta":{"interval_sums":[448180,416696,422252],"interval_residues":[922,922,922],"display_cycle":[922,922,922],"intervals":[{"from_index":538,"to_index":1466,"sum":448180,"residue":922},{"from_index":1466,"to_index":2394,"sum":416696,"residue":922},{"from_index":2394,"to_index":538,"sum":422252,"residue":922}],"minimal_cycle":[922],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":922,"start_interval_clock_positions":[538,1466],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-539","shape":"Equilateral triangle","alpha_indices":[539,1467,2395],"clock_positions":[539,1467,2395],"native_values":[487,24,487],"rotation_degrees":69.69827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[487,24,487],"beta":{"interval_sums":[448160,416676,422232],"interval_residues":[902,902,902],"display_cycle":[902,902,902],"intervals":[{"from_index":539,"to_index":1467,"sum":448160,"residue":902},{"from_index":1467,"to_index":2395,"sum":416676,"residue":902},{"from_index":2395,"to_index":539,"sum":422232,"residue":902}],"minimal_cycle":[902],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":902,"start_interval_clock_positions":[539,1467],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-540","shape":"Equilateral triangle","alpha_indices":[540,1468,2396],"clock_positions":[540,1468,2396],"native_values":[28,491,491],"rotation_degrees":69.82758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[28,491,491],"beta":{"interval_sums":[448156,416672,422228],"interval_residues":[898,898,898],"display_cycle":[898,898,898],"intervals":[{"from_index":540,"to_index":1468,"sum":448156,"residue":898},{"from_index":1468,"to_index":2396,"sum":416672,"residue":898},{"from_index":2396,"to_index":540,"sum":422228,"residue":898}],"minimal_cycle":[898],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":898,"start_interval_clock_positions":[540,1468],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-541","shape":"Equilateral triangle","alpha_indices":[541,1469,2397],"clock_positions":[541,1469,2397],"native_values":[515,515,52],"rotation_degrees":69.95689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[515,515,52],"beta":{"interval_sums":[448132,416648,422204],"interval_residues":[874,874,874],"display_cycle":[874,874,874],"intervals":[{"from_index":541,"to_index":1469,"sum":448132,"residue":874},{"from_index":1469,"to_index":2397,"sum":416648,"residue":874},{"from_index":2397,"to_index":541,"sum":422204,"residue":874}],"minimal_cycle":[874],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":874,"start_interval_clock_positions":[541,1469],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-542","shape":"Equilateral triangle","alpha_indices":[542,1470,2398],"clock_positions":[542,1470,2398],"native_values":[543,80,543],"rotation_degrees":70.08620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[543,80,543],"beta":{"interval_sums":[448104,416620,422176],"interval_residues":[846,846,846],"display_cycle":[846,846,846],"intervals":[{"from_index":542,"to_index":1470,"sum":448104,"residue":846},{"from_index":1470,"to_index":2398,"sum":416620,"residue":846},{"from_index":2398,"to_index":542,"sum":422176,"residue":846}],"minimal_cycle":[846],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":846,"start_interval_clock_positions":[542,1470],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-543","shape":"Equilateral triangle","alpha_indices":[543,1471,2399],"clock_positions":[543,1471,2399],"native_values":[132,595,595],"rotation_degrees":70.21551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,595,595],"beta":{"interval_sums":[448052,416568,422124],"interval_residues":[794,794,794],"display_cycle":[794,794,794],"intervals":[{"from_index":543,"to_index":1471,"sum":448052,"residue":794},{"from_index":1471,"to_index":2399,"sum":416568,"residue":794},{"from_index":2399,"to_index":543,"sum":422124,"residue":794}],"minimal_cycle":[794],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":794,"start_interval_clock_positions":[543,1471],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-544","shape":"Equilateral triangle","alpha_indices":[544,1472,2400],"clock_positions":[544,1472,2400],"native_values":[675,675,212],"rotation_degrees":70.34482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[675,675,212],"beta":{"interval_sums":[447972,416488,422044],"interval_residues":[714,714,714],"display_cycle":[714,714,714],"intervals":[{"from_index":544,"to_index":1472,"sum":447972,"residue":714},{"from_index":1472,"to_index":2400,"sum":416488,"residue":714},{"from_index":2400,"to_index":544,"sum":422044,"residue":714}],"minimal_cycle":[714],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":714,"start_interval_clock_positions":[544,1472],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-545","shape":"Equilateral triangle","alpha_indices":[545,1473,2401],"clock_positions":[545,1473,2401],"native_values":[807,344,807],"rotation_degrees":70.47413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[807,344,807],"beta":{"interval_sums":[447840,416356,421912],"interval_residues":[582,582,582],"display_cycle":[582,582,582],"intervals":[{"from_index":545,"to_index":1473,"sum":447840,"residue":582},{"from_index":1473,"to_index":2401,"sum":416356,"residue":582},{"from_index":2401,"to_index":545,"sum":421912,"residue":582}],"minimal_cycle":[582],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":582,"start_interval_clock_positions":[545,1473],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-546","shape":"Equilateral triangle","alpha_indices":[546,1474,2402],"clock_positions":[546,1474,2402],"native_values":[556,93,93],"rotation_degrees":70.60344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[556,93,93],"beta":{"interval_sums":[447628,417070,422626],"interval_residues":[370,370,370],"display_cycle":[370,370,370],"intervals":[{"from_index":546,"to_index":1474,"sum":447628,"residue":370},{"from_index":1474,"to_index":2402,"sum":417070,"residue":370},{"from_index":2402,"to_index":546,"sum":422626,"residue":370}],"minimal_cycle":[370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[546,1474],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-547","shape":"Equilateral triangle","alpha_indices":[547,1475,2403],"clock_positions":[547,1475,2403],"native_values":[437,437,900],"rotation_degrees":70.73275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[437,437,900],"beta":{"interval_sums":[447284,416726,422282],"interval_residues":[26,26,26],"display_cycle":[26,26,26],"intervals":[{"from_index":547,"to_index":1475,"sum":447284,"residue":26},{"from_index":1475,"to_index":2403,"sum":416726,"residue":26},{"from_index":2403,"to_index":547,"sum":422282,"residue":26}],"minimal_cycle":[26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[547,1475],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-548","shape":"Equilateral triangle","alpha_indices":[548,1476,2404],"clock_positions":[548,1476,2404],"native_values":[67,530,67],"rotation_degrees":70.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[67,530,67],"beta":{"interval_sums":[447654,417096,422652],"interval_residues":[396,396,396],"display_cycle":[396,396,396],"intervals":[{"from_index":548,"to_index":1476,"sum":447654,"residue":396},{"from_index":1476,"to_index":2404,"sum":417096,"residue":396},{"from_index":2404,"to_index":548,"sum":422652,"residue":396}],"minimal_cycle":[396],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":396,"start_interval_clock_positions":[548,1476],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-549","shape":"Equilateral triangle","alpha_indices":[549,1477,2405],"clock_positions":[549,1477,2405],"native_values":[504,41,41],"rotation_degrees":70.99137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[504,41,41],"beta":{"interval_sums":[447680,417122,422678],"interval_residues":[422,422,422],"display_cycle":[422,422,422],"intervals":[{"from_index":549,"to_index":1477,"sum":447680,"residue":422},{"from_index":1477,"to_index":2405,"sum":417122,"residue":422},{"from_index":2405,"to_index":549,"sum":422678,"residue":422}],"minimal_cycle":[422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":422,"start_interval_clock_positions":[549,1477],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-550","shape":"Equilateral triangle","alpha_indices":[550,1478,2406],"clock_positions":[550,1478,2406],"native_values":[571,571,108],"rotation_degrees":71.12068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[571,571,108],"beta":{"interval_sums":[447150,416592,423074],"interval_residues":[818,818,818],"display_cycle":[818,818,818],"intervals":[{"from_index":550,"to_index":1478,"sum":447150,"residue":818},{"from_index":1478,"to_index":2406,"sum":416592,"residue":818},{"from_index":2406,"to_index":550,"sum":423074,"residue":818}],"minimal_cycle":[818],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":818,"start_interval_clock_positions":[550,1478],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-551","shape":"Equilateral triangle","alpha_indices":[551,1479,2407],"clock_positions":[551,1479,2407],"native_values":[149,612,149],"rotation_degrees":71.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,612,149],"beta":{"interval_sums":[447572,416088,423496],"interval_residues":[314,314,314],"display_cycle":[314,314,314],"intervals":[{"from_index":551,"to_index":1479,"sum":447572,"residue":314},{"from_index":1479,"to_index":2407,"sum":416088,"residue":314},{"from_index":2407,"to_index":551,"sum":423496,"residue":314}],"minimal_cycle":[314],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":314,"start_interval_clock_positions":[551,1479],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-552","shape":"Equilateral triangle","alpha_indices":[552,1480,2408],"clock_positions":[552,1480,2408],"native_values":[720,257,257],"rotation_degrees":71.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[720,257,257],"beta":{"interval_sums":[447464,415980,423388],"interval_residues":[206,206,206],"display_cycle":[206,206,206],"intervals":[{"from_index":552,"to_index":1480,"sum":447464,"residue":206},{"from_index":1480,"to_index":2408,"sum":415980,"residue":206},{"from_index":2408,"to_index":552,"sum":423388,"residue":206}],"minimal_cycle":[206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[552,1480],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-553","shape":"Equilateral triangle","alpha_indices":[553,1481,2409],"clock_positions":[553,1481,2409],"native_values":[869,869,406],"rotation_degrees":71.50862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[869,869,406],"beta":{"interval_sums":[446852,415368,423702],"interval_residues":[520,520,520],"display_cycle":[520,520,520],"intervals":[{"from_index":553,"to_index":1481,"sum":446852,"residue":520},{"from_index":1481,"to_index":2409,"sum":415368,"residue":520},{"from_index":2409,"to_index":553,"sum":423702,"residue":520}],"minimal_cycle":[520],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":520,"start_interval_clock_positions":[553,1481],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-554","shape":"Equilateral triangle","alpha_indices":[554,1482,2410],"clock_positions":[554,1482,2410],"native_values":[663,200,663],"rotation_degrees":71.63793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[663,200,663],"beta":{"interval_sums":[447058,415574,423908],"interval_residues":[726,726,726],"display_cycle":[726,726,726],"intervals":[{"from_index":554,"to_index":1482,"sum":447058,"residue":726},{"from_index":1482,"to_index":2410,"sum":415574,"residue":726},{"from_index":2410,"to_index":554,"sum":423908,"residue":726}],"minimal_cycle":[726],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":726,"start_interval_clock_positions":[554,1482],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-555","shape":"Equilateral triangle","alpha_indices":[555,1483,2411],"clock_positions":[555,1483,2411],"native_values":[606,143,143],"rotation_degrees":71.76724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[606,143,143],"beta":{"interval_sums":[446652,416094,424428],"interval_residues":[320,320,320],"display_cycle":[320,320,320],"intervals":[{"from_index":555,"to_index":1483,"sum":446652,"residue":320},{"from_index":1483,"to_index":2411,"sum":416094,"residue":320},{"from_index":2411,"to_index":555,"sum":424428,"residue":320}],"minimal_cycle":[320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[555,1483],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-556","shape":"Equilateral triangle","alpha_indices":[556,1484,2412],"clock_positions":[556,1484,2412],"native_values":[343,343,806],"rotation_degrees":71.89655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,343,806],"beta":{"interval_sums":[446452,415894,424228],"interval_residues":[120,120,120],"display_cycle":[120,120,120],"intervals":[{"from_index":556,"to_index":1484,"sum":446452,"residue":120},{"from_index":1484,"to_index":2412,"sum":415894,"residue":120},{"from_index":2412,"to_index":556,"sum":424228,"residue":120}],"minimal_cycle":[120],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[556,1484],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-557","shape":"Equilateral triangle","alpha_indices":[557,1485,2413],"clock_positions":[557,1485,2413],"native_values":[23,486,23],"rotation_degrees":72.02586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[23,486,23],"beta":{"interval_sums":[446772,416214,424548],"interval_residues":[440,440,440],"display_cycle":[440,440,440],"intervals":[{"from_index":557,"to_index":1485,"sum":446772,"residue":440},{"from_index":1485,"to_index":2413,"sum":416214,"residue":440},{"from_index":2413,"to_index":557,"sum":424548,"residue":440}],"minimal_cycle":[440],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[557,1485],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-558","shape":"Equilateral triangle","alpha_indices":[558,1486,2414],"clock_positions":[558,1486,2414],"native_values":[366,829,829],"rotation_degrees":72.15517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[366,829,829],"beta":{"interval_sums":[446892,415408,423742],"interval_residues":[560,560,560],"display_cycle":[560,560,560],"intervals":[{"from_index":558,"to_index":1486,"sum":446892,"residue":560},{"from_index":1486,"to_index":2414,"sum":415408,"residue":560},{"from_index":2414,"to_index":558,"sum":423742,"residue":560}],"minimal_cycle":[560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":560,"start_interval_clock_positions":[558,1486],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-559","shape":"Equilateral triangle","alpha_indices":[559,1487,2415],"clock_positions":[559,1487,2415],"native_values":[389,389,852],"rotation_degrees":72.28448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[389,389,852],"beta":{"interval_sums":[447332,415848,423256],"interval_residues":[74,74,74],"display_cycle":[74,74,74],"intervals":[{"from_index":559,"to_index":1487,"sum":447332,"residue":74},{"from_index":1487,"to_index":2415,"sum":415848,"residue":74},{"from_index":2415,"to_index":559,"sum":423256,"residue":74}],"minimal_cycle":[74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[559,1487],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-560","shape":"Equilateral triangle","alpha_indices":[560,1488,2416],"clock_positions":[560,1488,2416],"native_values":[755,292,755],"rotation_degrees":72.41379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[755,292,755],"beta":{"interval_sums":[446966,416408,422890],"interval_residues":[634,634,634],"display_cycle":[634,634,634],"intervals":[{"from_index":560,"to_index":1488,"sum":446966,"residue":634},{"from_index":1488,"to_index":2416,"sum":416408,"residue":634},{"from_index":2416,"to_index":560,"sum":422890,"residue":634}],"minimal_cycle":[634],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":634,"start_interval_clock_positions":[560,1488],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-561","shape":"Equilateral triangle","alpha_indices":[561,1489,2417],"clock_positions":[561,1489,2417],"native_values":[218,681,681],"rotation_degrees":72.54310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[218,681,681],"beta":{"interval_sums":[447040,416482,422964],"interval_residues":[708,708,708],"display_cycle":[708,708,708],"intervals":[{"from_index":561,"to_index":1489,"sum":447040,"residue":708},{"from_index":1489,"to_index":2417,"sum":416482,"residue":708},{"from_index":2417,"to_index":561,"sum":422964,"residue":708}],"minimal_cycle":[708],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":708,"start_interval_clock_positions":[561,1489],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-562","shape":"Equilateral triangle","alpha_indices":[562,1490,2418],"clock_positions":[562,1490,2418],"native_values":[47,47,510],"rotation_degrees":72.67241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,47,510],"beta":{"interval_sums":[447674,417116,422672],"interval_residues":[416,416,416],"display_cycle":[416,416,416],"intervals":[{"from_index":562,"to_index":1490,"sum":447674,"residue":416},{"from_index":1490,"to_index":2418,"sum":417116,"residue":416},{"from_index":2418,"to_index":562,"sum":422672,"residue":416}],"minimal_cycle":[416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[562,1490],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-563","shape":"Equilateral triangle","alpha_indices":[563,1491,2419],"clock_positions":[563,1491,2419],"native_values":[265,728,265],"rotation_degrees":72.80172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,728,265],"beta":{"interval_sums":[447456,416898,422454],"interval_residues":[198,198,198],"display_cycle":[198,198,198],"intervals":[{"from_index":563,"to_index":1491,"sum":447456,"residue":198},{"from_index":1491,"to_index":2419,"sum":416898,"residue":198},{"from_index":2419,"to_index":563,"sum":422454,"residue":198}],"minimal_cycle":[198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[563,1491],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-564","shape":"Equilateral triangle","alpha_indices":[564,1492,2420],"clock_positions":[564,1492,2420],"native_values":[312,775,775],"rotation_degrees":72.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[312,775,775],"beta":{"interval_sums":[447872,416388,421944],"interval_residues":[614,614,614],"display_cycle":[614,614,614],"intervals":[{"from_index":564,"to_index":1492,"sum":447872,"residue":614},{"from_index":1492,"to_index":2420,"sum":416388,"residue":614},{"from_index":2420,"to_index":564,"sum":421944,"residue":614}],"minimal_cycle":[614],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":614,"start_interval_clock_positions":[564,1492],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-565","shape":"Equilateral triangle","alpha_indices":[565,1493,2421],"clock_positions":[565,1493,2421],"native_values":[577,577,114],"rotation_degrees":73.0603448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[577,577,114],"beta":{"interval_sums":[448070,416586,422142],"interval_residues":[812,812,812],"display_cycle":[812,812,812],"intervals":[{"from_index":565,"to_index":1493,"sum":448070,"residue":812},{"from_index":1493,"to_index":2421,"sum":416586,"residue":812},{"from_index":2421,"to_index":565,"sum":422142,"residue":812}],"minimal_cycle":[812],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":812,"start_interval_clock_positions":[565,1493],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-566","shape":"Equilateral triangle","alpha_indices":[566,1494,2422],"clock_positions":[566,1494,2422],"native_values":[889,426,889],"rotation_degrees":73.1896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[889,426,889],"beta":{"interval_sums":[447758,416274,421830],"interval_residues":[500,500,500],"display_cycle":[500,500,500],"intervals":[{"from_index":566,"to_index":1494,"sum":447758,"residue":500},{"from_index":1494,"to_index":2422,"sum":416274,"residue":500},{"from_index":2422,"to_index":566,"sum":421830,"residue":500}],"minimal_cycle":[500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[566,1494],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-567","shape":"Equilateral triangle","alpha_indices":[567,1495,2423],"clock_positions":[567,1495,2423],"native_values":[540,77,77],"rotation_degrees":73.31896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[540,77,77],"beta":{"interval_sums":[447644,417086,422642],"interval_residues":[386,386,386],"display_cycle":[386,386,386],"intervals":[{"from_index":567,"to_index":1495,"sum":447644,"residue":386},{"from_index":1495,"to_index":2423,"sum":417086,"residue":386},{"from_index":2423,"to_index":567,"sum":422642,"residue":386}],"minimal_cycle":[386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":386,"start_interval_clock_positions":[567,1495],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-568","shape":"Equilateral triangle","alpha_indices":[568,1496,2424],"clock_positions":[568,1496,2424],"native_values":[503,503,40],"rotation_degrees":73.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[503,503,40],"beta":{"interval_sums":[447218,416660,423142],"interval_residues":[886,886,886],"display_cycle":[886,886,886],"intervals":[{"from_index":568,"to_index":1496,"sum":447218,"residue":886},{"from_index":1496,"to_index":2424,"sum":416660,"residue":886},{"from_index":2424,"to_index":568,"sum":423142,"residue":886}],"minimal_cycle":[886],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":886,"start_interval_clock_positions":[568,1496],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-569","shape":"Equilateral triangle","alpha_indices":[569,1497,2425],"clock_positions":[569,1497,2425],"native_values":[117,580,117],"rotation_degrees":73.57758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,580,117],"beta":{"interval_sums":[447604,416120,423528],"interval_residues":[346,346,346],"display_cycle":[346,346,346],"intervals":[{"from_index":569,"to_index":1497,"sum":447604,"residue":346},{"from_index":1497,"to_index":2425,"sum":416120,"residue":346},{"from_index":2425,"to_index":569,"sum":423528,"residue":346}],"minimal_cycle":[346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[569,1497],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-570","shape":"Equilateral triangle","alpha_indices":[570,1498,2426],"clock_positions":[570,1498,2426],"native_values":[620,157,157],"rotation_degrees":73.70689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[620,157,157],"beta":{"interval_sums":[447564,416080,423488],"interval_residues":[306,306,306],"display_cycle":[306,306,306],"intervals":[{"from_index":570,"to_index":1498,"sum":447564,"residue":306},{"from_index":1498,"to_index":2426,"sum":416080,"residue":306},{"from_index":2426,"to_index":570,"sum":423488,"residue":306}],"minimal_cycle":[306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[570,1498],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-571","shape":"Equilateral triangle","alpha_indices":[571,1499,2427],"clock_positions":[571,1499,2427],"native_values":[737,737,274],"rotation_degrees":73.83620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[737,737,274],"beta":{"interval_sums":[446984,415500,423834],"interval_residues":[652,652,652],"display_cycle":[652,652,652],"intervals":[{"from_index":571,"to_index":1499,"sum":446984,"residue":652},{"from_index":1499,"to_index":2427,"sum":415500,"residue":652},{"from_index":2427,"to_index":571,"sum":423834,"residue":652}],"minimal_cycle":[652],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[571,1499],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-572","shape":"Equilateral triangle","alpha_indices":[572,1500,2428],"clock_positions":[572,1500,2428],"native_values":[431,894,431],"rotation_degrees":73.96551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[431,894,431],"beta":{"interval_sums":[447290,414880,424140],"interval_residues":[32,32,32],"display_cycle":[32,32,32],"intervals":[{"from_index":572,"to_index":1500,"sum":447290,"residue":32},{"from_index":1500,"to_index":2428,"sum":414880,"residue":32},{"from_index":2428,"to_index":572,"sum":424140,"residue":32}],"minimal_cycle":[32],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":32,"start_interval_clock_positions":[572,1500],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-573","shape":"Equilateral triangle","alpha_indices":[573,1501,2429],"clock_positions":[573,1501,2429],"native_values":[242,705,705],"rotation_degrees":74.09482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[242,705,705],"beta":{"interval_sums":[447942,414606,423866],"interval_residues":[684,684,684],"display_cycle":[684,684,684],"intervals":[{"from_index":573,"to_index":1501,"sum":447942,"residue":684},{"from_index":1501,"to_index":2429,"sum":414606,"residue":684},{"from_index":2429,"to_index":573,"sum":423866,"residue":684}],"minimal_cycle":[684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":684,"start_interval_clock_positions":[573,1501],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-574","shape":"Equilateral triangle","alpha_indices":[574,1502,2430],"clock_positions":[574,1502,2430],"native_values":[673,673,210],"rotation_degrees":74.22413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[673,673,210],"beta":{"interval_sums":[447974,414638,423898],"interval_residues":[716,716,716],"display_cycle":[716,716,716],"intervals":[{"from_index":574,"to_index":1502,"sum":447974,"residue":716},{"from_index":1502,"to_index":2430,"sum":414638,"residue":716},{"from_index":2430,"to_index":574,"sum":423898,"residue":716}],"minimal_cycle":[716],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":716,"start_interval_clock_positions":[574,1502],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-575","shape":"Equilateral triangle","alpha_indices":[575,1503,2431],"clock_positions":[575,1503,2431],"native_values":[915,452,915],"rotation_degrees":74.35344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[915,452,915],"beta":{"interval_sums":[447732,414396,423656],"interval_residues":[474,474,474],"display_cycle":[474,474,474],"intervals":[{"from_index":575,"to_index":1503,"sum":447732,"residue":474},{"from_index":1503,"to_index":2431,"sum":414396,"residue":474},{"from_index":2431,"to_index":575,"sum":423656,"residue":474}],"minimal_cycle":[474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[575,1503],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-576","shape":"Equilateral triangle","alpha_indices":[576,1504,2432],"clock_positions":[576,1504,2432],"native_values":[662,199,199],"rotation_degrees":74.48275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[662,199,199],"beta":{"interval_sums":[447522,415112,424372],"interval_residues":[264,264,264],"display_cycle":[264,264,264],"intervals":[{"from_index":576,"to_index":1504,"sum":447522,"residue":264},{"from_index":1504,"to_index":2432,"sum":415112,"residue":264},{"from_index":2432,"to_index":576,"sum":424372,"residue":264}],"minimal_cycle":[264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":264,"start_interval_clock_positions":[576,1504],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-577","shape":"Equilateral triangle","alpha_indices":[577,1505,2433],"clock_positions":[577,1505,2433],"native_values":[651,651,188],"rotation_degrees":74.61206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[651,651,188],"beta":{"interval_sums":[447070,414660,424846],"interval_residues":[738,738,738],"display_cycle":[738,738,738],"intervals":[{"from_index":577,"to_index":1505,"sum":447070,"residue":738},{"from_index":1505,"to_index":2433,"sum":414660,"residue":738},{"from_index":2433,"to_index":577,"sum":424846,"residue":738}],"minimal_cycle":[738],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":738,"start_interval_clock_positions":[577,1505],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-578","shape":"Equilateral triangle","alpha_indices":[578,1506,2434],"clock_positions":[578,1506,2434],"native_values":[387,850,387],"rotation_degrees":74.74137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[387,850,387],"beta":{"interval_sums":[447334,413998,425110],"interval_residues":[76,76,76],"display_cycle":[76,76,76],"intervals":[{"from_index":578,"to_index":1506,"sum":447334,"residue":76},{"from_index":1506,"to_index":2434,"sum":413998,"residue":76},{"from_index":2434,"to_index":578,"sum":425110,"residue":76}],"minimal_cycle":[76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[578,1506],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-579","shape":"Equilateral triangle","alpha_indices":[579,1507,2435],"clock_positions":[579,1507,2435],"native_values":[112,575,575],"rotation_degrees":74.87068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[112,575,575],"beta":{"interval_sums":[448072,413810,424922],"interval_residues":[814,814,814],"display_cycle":[814,814,814],"intervals":[{"from_index":579,"to_index":1507,"sum":448072,"residue":814},{"from_index":1507,"to_index":2435,"sum":413810,"residue":814},{"from_index":2435,"to_index":579,"sum":424922,"residue":814}],"minimal_cycle":[814],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":814,"start_interval_clock_positions":[579,1507],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-580","shape":"Equilateral triangle","alpha_indices":[580,1508,2436],"clock_positions":[580,1508,2436],"native_values":[499,499,36],"rotation_degrees":75.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[499,499,36],"beta":{"interval_sums":[448148,413886,424998],"interval_residues":[890,890,890],"display_cycle":[890,890,890],"intervals":[{"from_index":580,"to_index":1508,"sum":448148,"residue":890},{"from_index":1508,"to_index":2436,"sum":413886,"residue":890},{"from_index":2436,"to_index":580,"sum":424998,"residue":890}],"minimal_cycle":[890],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":890,"start_interval_clock_positions":[580,1508],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-581","shape":"Equilateral triangle","alpha_indices":[581,1509,2437],"clock_positions":[581,1509,2437],"native_values":[611,148,611],"rotation_degrees":75.12931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[611,148,611],"beta":{"interval_sums":[448036,413774,424886],"interval_residues":[778,778,778],"display_cycle":[778,778,778],"intervals":[{"from_index":581,"to_index":1509,"sum":448036,"residue":778},{"from_index":1509,"to_index":2437,"sum":413774,"residue":778},{"from_index":2437,"to_index":581,"sum":424886,"residue":778}],"minimal_cycle":[778],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":778,"start_interval_clock_positions":[581,1509],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-582","shape":"Equilateral triangle","alpha_indices":[582,1510,2438],"clock_positions":[582,1510,2438],"native_values":[184,647,647],"rotation_degrees":75.25862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[184,647,647],"beta":{"interval_sums":[448000,413738,424850],"interval_residues":[742,742,742],"display_cycle":[742,742,742],"intervals":[{"from_index":582,"to_index":1510,"sum":448000,"residue":742},{"from_index":1510,"to_index":2438,"sum":413738,"residue":742},{"from_index":2438,"to_index":582,"sum":424850,"residue":742}],"minimal_cycle":[742],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":742,"start_interval_clock_positions":[582,1510],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-583","shape":"Equilateral triangle","alpha_indices":[583,1511,2439],"clock_positions":[583,1511,2439],"native_values":[795,795,332],"rotation_degrees":75.38793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[795,795,332],"beta":{"interval_sums":[447852,413590,424702],"interval_residues":[594,594,594],"display_cycle":[594,594,594],"intervals":[{"from_index":583,"to_index":1511,"sum":447852,"residue":594},{"from_index":1511,"to_index":2439,"sum":413590,"residue":594},{"from_index":2439,"to_index":583,"sum":424702,"residue":594}],"minimal_cycle":[594],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":594,"start_interval_clock_positions":[583,1511],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-584","shape":"Equilateral triangle","alpha_indices":[584,1512,2440],"clock_positions":[584,1512,2440],"native_values":[53,516,53],"rotation_degrees":75.51724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,516,53],"beta":{"interval_sums":[448594,413406,425444],"interval_residues":[410,410,410],"display_cycle":[410,410,410],"intervals":[{"from_index":584,"to_index":1512,"sum":448594,"residue":410},{"from_index":1512,"to_index":2440,"sum":413406,"residue":410},{"from_index":2440,"to_index":584,"sum":425444,"residue":410}],"minimal_cycle":[410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[584,1512],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-585","shape":"Equilateral triangle","alpha_indices":[585,1513,2441],"clock_positions":[585,1513,2441],"native_values":[848,385,385],"rotation_degrees":75.64655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[848,385,385],"beta":{"interval_sums":[448262,413074,425112],"interval_residues":[78,78,78],"display_cycle":[78,78,78],"intervals":[{"from_index":585,"to_index":1513,"sum":448262,"residue":78},{"from_index":1513,"to_index":2441,"sum":413074,"residue":78},{"from_index":2441,"to_index":585,"sum":425112,"residue":78}],"minimal_cycle":[78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":78,"start_interval_clock_positions":[585,1513],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-586","shape":"Equilateral triangle","alpha_indices":[586,1514,2442],"clock_positions":[586,1514,2442],"native_values":[901,901,438],"rotation_degrees":75.77586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[901,901,438],"beta":{"interval_sums":[447746,412558,425522],"interval_residues":[488,488,488],"display_cycle":[488,488,488],"intervals":[{"from_index":586,"to_index":1514,"sum":447746,"residue":488},{"from_index":1514,"to_index":2442,"sum":412558,"residue":488},{"from_index":2442,"to_index":586,"sum":425522,"residue":488}],"minimal_cycle":[488],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":488,"start_interval_clock_positions":[586,1514],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-587","shape":"Equilateral triangle","alpha_indices":[587,1515,2443],"clock_positions":[587,1515,2443],"native_values":[823,360,823],"rotation_degrees":75.90517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[823,360,823],"beta":{"interval_sums":[447824,412636,425600],"interval_residues":[566,566,566],"display_cycle":[566,566,566],"intervals":[{"from_index":587,"to_index":1515,"sum":447824,"residue":566},{"from_index":1515,"to_index":2443,"sum":412636,"residue":566},{"from_index":2443,"to_index":587,"sum":425600,"residue":566}],"minimal_cycle":[566],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":566,"start_interval_clock_positions":[587,1515],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-588","shape":"Equilateral triangle","alpha_indices":[588,1516,2444],"clock_positions":[588,1516,2444],"native_values":[798,335,335],"rotation_degrees":76.03448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[798,335,335],"beta":{"interval_sums":[447386,413124,426088],"interval_residues":[128,128,128],"display_cycle":[128,128,128],"intervals":[{"from_index":588,"to_index":1516,"sum":447386,"residue":128},{"from_index":1516,"to_index":2444,"sum":413124,"residue":128},{"from_index":2444,"to_index":588,"sum":426088,"residue":128}],"minimal_cycle":[128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":128,"start_interval_clock_positions":[588,1516],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-589","shape":"Equilateral triangle","alpha_indices":[589,1517,2445],"clock_positions":[589,1517,2445],"native_values":[695,695,232],"rotation_degrees":76.16379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[695,695,232],"beta":{"interval_sums":[447026,412764,426654],"interval_residues":[694,694,694],"display_cycle":[694,694,694],"intervals":[{"from_index":589,"to_index":1517,"sum":447026,"residue":694},{"from_index":1517,"to_index":2445,"sum":412764,"residue":694},{"from_index":2445,"to_index":589,"sum":426654,"residue":694}],"minimal_cycle":[694],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":694,"start_interval_clock_positions":[589,1517],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-590","shape":"Equilateral triangle","alpha_indices":[590,1518,2446],"clock_positions":[590,1518,2446],"native_values":[567,104,567],"rotation_degrees":76.29310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,104,567],"beta":{"interval_sums":[447154,412892,426782],"interval_residues":[822,822,822],"display_cycle":[822,822,822],"intervals":[{"from_index":590,"to_index":1518,"sum":447154,"residue":822},{"from_index":1518,"to_index":2446,"sum":412892,"residue":822},{"from_index":2446,"to_index":590,"sum":426782,"residue":822}],"minimal_cycle":[822],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":822,"start_interval_clock_positions":[590,1518],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-591","shape":"Equilateral triangle","alpha_indices":[591,1519,2447],"clock_positions":[591,1519,2447],"native_values":[336,799,799],"rotation_degrees":76.42241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[336,799,799],"beta":{"interval_sums":[446922,412660,426550],"interval_residues":[590,590,590],"display_cycle":[590,590,590],"intervals":[{"from_index":591,"to_index":1519,"sum":446922,"residue":590},{"from_index":1519,"to_index":2447,"sum":412660,"residue":590},{"from_index":2447,"to_index":591,"sum":426550,"residue":590}],"minimal_cycle":[590],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":590,"start_interval_clock_positions":[591,1519],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-592","shape":"Equilateral triangle","alpha_indices":[592,1520,2448],"clock_positions":[592,1520,2448],"native_values":[903,903,440],"rotation_degrees":76.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[903,903,440],"beta":{"interval_sums":[446818,412556,426446],"interval_residues":[486,486,486],"display_cycle":[486,486,486],"intervals":[{"from_index":592,"to_index":1520,"sum":446818,"residue":486},{"from_index":1520,"to_index":2448,"sum":412556,"residue":486},{"from_index":2448,"to_index":592,"sum":426446,"residue":486}],"minimal_cycle":[486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":486,"start_interval_clock_positions":[592,1520],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-593","shape":"Equilateral triangle","alpha_indices":[593,1521,2449],"clock_positions":[593,1521,2449],"native_values":[313,776,313],"rotation_degrees":76.68103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,776,313],"beta":{"interval_sums":[447408,412220,427036],"interval_residues":[150,150,150],"display_cycle":[150,150,150],"intervals":[{"from_index":593,"to_index":1521,"sum":447408,"residue":150},{"from_index":1521,"to_index":2449,"sum":412220,"residue":150},{"from_index":2449,"to_index":593,"sum":427036,"residue":150}],"minimal_cycle":[150],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[593,1521],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-594","shape":"Equilateral triangle","alpha_indices":[594,1522,2450],"clock_positions":[594,1522,2450],"native_values":[290,753,753],"rotation_degrees":76.8103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[290,753,753],"beta":{"interval_sums":[447894,411780,426596],"interval_residues":[636,636,636],"display_cycle":[636,636,636],"intervals":[{"from_index":594,"to_index":1522,"sum":447894,"residue":636},{"from_index":1522,"to_index":2450,"sum":411780,"residue":636},{"from_index":2450,"to_index":594,"sum":426596,"residue":636}],"minimal_cycle":[636],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":636,"start_interval_clock_positions":[594,1522],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-595","shape":"Equilateral triangle","alpha_indices":[595,1523,2451],"clock_positions":[595,1523,2451],"native_values":[603,603,140],"rotation_degrees":76.9396551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[603,603,140],"beta":{"interval_sums":[448044,411930,426746],"interval_residues":[786,786,786],"display_cycle":[786,786,786],"intervals":[{"from_index":595,"to_index":1523,"sum":448044,"residue":786},{"from_index":1523,"to_index":2451,"sum":411930,"residue":786},{"from_index":2451,"to_index":595,"sum":426746,"residue":786}],"minimal_cycle":[786],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":786,"start_interval_clock_positions":[595,1523],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-596","shape":"Equilateral triangle","alpha_indices":[596,1524,2452],"clock_positions":[596,1524,2452],"native_values":[893,430,893],"rotation_degrees":77.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[893,430,893],"beta":{"interval_sums":[447754,411640,426456],"interval_residues":[496,496,496],"display_cycle":[496,496,496],"intervals":[{"from_index":596,"to_index":1524,"sum":447754,"residue":496},{"from_index":1524,"to_index":2452,"sum":411640,"residue":496},{"from_index":2452,"to_index":596,"sum":426456,"residue":496}],"minimal_cycle":[496],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":496,"start_interval_clock_positions":[596,1524],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-597","shape":"Equilateral triangle","alpha_indices":[597,1525,2453],"clock_positions":[597,1525,2453],"native_values":[570,107,107],"rotation_degrees":77.19827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[570,107,107],"beta":{"interval_sums":[447614,412426,427242],"interval_residues":[356,356,356],"display_cycle":[356,356,356],"intervals":[{"from_index":597,"to_index":1525,"sum":447614,"residue":356},{"from_index":1525,"to_index":2453,"sum":412426,"residue":356},{"from_index":2453,"to_index":597,"sum":427242,"residue":356}],"minimal_cycle":[356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":356,"start_interval_clock_positions":[597,1525],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-598","shape":"Equilateral triangle","alpha_indices":[598,1526,2454],"clock_positions":[598,1526,2454],"native_values":[537,537,74],"rotation_degrees":77.32758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[537,537,74],"beta":{"interval_sums":[447184,411996,427738],"interval_residues":[852,852,852],"display_cycle":[852,852,852],"intervals":[{"from_index":598,"to_index":1526,"sum":447184,"residue":852},{"from_index":1526,"to_index":2454,"sum":411996,"residue":852},{"from_index":2454,"to_index":598,"sum":427738,"residue":852}],"minimal_cycle":[852],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":852,"start_interval_clock_positions":[598,1526],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-599","shape":"Equilateral triangle","alpha_indices":[599,1527,2455],"clock_positions":[599,1527,2455],"native_values":[181,644,181],"rotation_degrees":77.45689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,644,181],"beta":{"interval_sums":[447540,411426,428094],"interval_residues":[282,282,282],"display_cycle":[282,282,282],"intervals":[{"from_index":599,"to_index":1527,"sum":447540,"residue":282},{"from_index":1527,"to_index":2455,"sum":411426,"residue":282},{"from_index":2455,"to_index":599,"sum":428094,"residue":282}],"minimal_cycle":[282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":282,"start_interval_clock_positions":[599,1527],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-600","shape":"Equilateral triangle","alpha_indices":[600,1528,2456],"clock_positions":[600,1528,2456],"native_values":[718,255,255],"rotation_degrees":77.58620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[718,255,255],"beta":{"interval_sums":[447466,411352,428020],"interval_residues":[208,208,208],"display_cycle":[208,208,208],"intervals":[{"from_index":600,"to_index":1528,"sum":447466,"residue":208},{"from_index":1528,"to_index":2456,"sum":411352,"residue":208},{"from_index":2456,"to_index":600,"sum":428020,"residue":208}],"minimal_cycle":[208],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[600,1528],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-601","shape":"Equilateral triangle","alpha_indices":[601,1529,2457],"clock_positions":[601,1529,2457],"native_values":[899,899,436],"rotation_degrees":77.71551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[899,899,436],"beta":{"interval_sums":[446822,410708,428302],"interval_residues":[490,490,490],"display_cycle":[490,490,490],"intervals":[{"from_index":601,"to_index":1529,"sum":446822,"residue":490},{"from_index":1529,"to_index":2457,"sum":410708,"residue":490},{"from_index":2457,"to_index":601,"sum":428302,"residue":490}],"minimal_cycle":[490],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":490,"start_interval_clock_positions":[601,1529],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-602","shape":"Equilateral triangle","alpha_indices":[602,1530,2458],"clock_positions":[602,1530,2458],"native_values":[691,228,691],"rotation_degrees":77.84482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,228,691],"beta":{"interval_sums":[447030,410916,428510],"interval_residues":[698,698,698],"display_cycle":[698,698,698],"intervals":[{"from_index":602,"to_index":1530,"sum":447030,"residue":698},{"from_index":1530,"to_index":2458,"sum":410916,"residue":698},{"from_index":2458,"to_index":602,"sum":428510,"residue":698}],"minimal_cycle":[698],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":698,"start_interval_clock_positions":[602,1530],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-603","shape":"Equilateral triangle","alpha_indices":[603,1531,2459],"clock_positions":[603,1531,2459],"native_values":[664,201,201],"rotation_degrees":77.97413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[664,201,201],"beta":{"interval_sums":[446594,411406,429000],"interval_residues":[262,262,262],"display_cycle":[262,262,262],"intervals":[{"from_index":603,"to_index":1531,"sum":446594,"residue":262},{"from_index":1531,"to_index":2459,"sum":411406,"residue":262},{"from_index":2459,"to_index":603,"sum":429000,"residue":262}],"minimal_cycle":[262],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":262,"start_interval_clock_positions":[603,1531],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-604","shape":"Equilateral triangle","alpha_indices":[604,1532,2460],"clock_positions":[604,1532,2460],"native_values":[429,429,892],"rotation_degrees":78.10344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,429,892],"beta":{"interval_sums":[446366,411178,428772],"interval_residues":[34,34,34],"display_cycle":[34,34,34],"intervals":[{"from_index":604,"to_index":1532,"sum":446366,"residue":34},{"from_index":1532,"to_index":2460,"sum":411178,"residue":34},{"from_index":2460,"to_index":604,"sum":428772,"residue":34}],"minimal_cycle":[34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[604,1532],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-605","shape":"Equilateral triangle","alpha_indices":[605,1533,2461],"clock_positions":[605,1533,2461],"native_values":[167,630,167],"rotation_degrees":78.23275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,630,167],"beta":{"interval_sums":[446628,411440,429034],"interval_residues":[296,296,296],"display_cycle":[296,296,296],"intervals":[{"from_index":605,"to_index":1533,"sum":446628,"residue":296},{"from_index":1533,"to_index":2461,"sum":411440,"residue":296},{"from_index":2461,"to_index":605,"sum":429034,"residue":296}],"minimal_cycle":[296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[605,1533],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-606","shape":"Equilateral triangle","alpha_indices":[606,1534,2462],"clock_positions":[606,1534,2462],"native_values":[596,133,133],"rotation_degrees":78.36206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[596,133,133],"beta":{"interval_sums":[446662,411474,429068],"interval_residues":[330,330,330],"display_cycle":[330,330,330],"intervals":[{"from_index":606,"to_index":1534,"sum":446662,"residue":330},{"from_index":1534,"to_index":2462,"sum":411474,"residue":330},{"from_index":2462,"to_index":606,"sum":429068,"residue":330}],"minimal_cycle":[330],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[606,1534],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-607","shape":"Equilateral triangle","alpha_indices":[607,1535,2463],"clock_positions":[607,1535,2463],"native_values":[763,763,300],"rotation_degrees":78.49137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[763,763,300],"beta":{"interval_sums":[446032,410844,429364],"interval_residues":[626,626,626],"display_cycle":[626,626,626],"intervals":[{"from_index":607,"to_index":1535,"sum":446032,"residue":626},{"from_index":1535,"to_index":2463,"sum":410844,"residue":626},{"from_index":2463,"to_index":607,"sum":429364,"residue":626}],"minimal_cycle":[626],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":626,"start_interval_clock_positions":[607,1535],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-608","shape":"Equilateral triangle","alpha_indices":[608,1536,2464],"clock_positions":[608,1536,2464],"native_values":[433,896,433],"rotation_degrees":78.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,896,433],"beta":{"interval_sums":[446362,410248,429694],"interval_residues":[30,30,30],"display_cycle":[30,30,30],"intervals":[{"from_index":608,"to_index":1536,"sum":446362,"residue":30},{"from_index":1536,"to_index":2464,"sum":410248,"residue":30},{"from_index":2464,"to_index":608,"sum":429694,"residue":30}],"minimal_cycle":[30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[608,1536],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-609","shape":"Equilateral triangle","alpha_indices":[609,1537,2465],"clock_positions":[609,1537,2465],"native_values":[270,733,733],"rotation_degrees":78.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[270,733,733],"beta":{"interval_sums":[446988,409948,429394],"interval_residues":[656,656,656],"display_cycle":[656,656,656],"intervals":[{"from_index":609,"to_index":1537,"sum":446988,"residue":656},{"from_index":1537,"to_index":2465,"sum":409948,"residue":656},{"from_index":2465,"to_index":609,"sum":429394,"residue":656}],"minimal_cycle":[656],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":656,"start_interval_clock_positions":[609,1537],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-610","shape":"Equilateral triangle","alpha_indices":[610,1538,2466],"clock_positions":[610,1538,2466],"native_values":[703,703,240],"rotation_degrees":78.87931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[703,703,240],"beta":{"interval_sums":[447018,409978,429424],"interval_residues":[686,686,686],"display_cycle":[686,686,686],"intervals":[{"from_index":610,"to_index":1538,"sum":447018,"residue":686},{"from_index":1538,"to_index":2466,"sum":409978,"residue":686},{"from_index":2466,"to_index":610,"sum":429424,"residue":686}],"minimal_cycle":[686],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":686,"start_interval_clock_positions":[610,1538],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-611","shape":"Equilateral triangle","alpha_indices":[611,1539,2467],"clock_positions":[611,1539,2467],"native_values":[47,510,47],"rotation_degrees":79.00862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,510,47],"beta":{"interval_sums":[447674,409708,430080],"interval_residues":[416,416,416],"display_cycle":[416,416,416],"intervals":[{"from_index":611,"to_index":1539,"sum":447674,"residue":416},{"from_index":1539,"to_index":2467,"sum":409708,"residue":416},{"from_index":2467,"to_index":611,"sum":430080,"residue":416}],"minimal_cycle":[416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[611,1539],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-612","shape":"Equilateral triangle","alpha_indices":[612,1540,2468],"clock_positions":[612,1540,2468],"native_values":[750,287,287],"rotation_degrees":79.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[750,287,287],"beta":{"interval_sums":[447434,409468,429840],"interval_residues":[176,176,176],"display_cycle":[176,176,176],"intervals":[{"from_index":612,"to_index":1540,"sum":447434,"residue":176},{"from_index":1540,"to_index":2468,"sum":409468,"residue":176},{"from_index":2468,"to_index":612,"sum":429840,"residue":176}],"minimal_cycle":[176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[612,1540],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-613","shape":"Equilateral triangle","alpha_indices":[613,1541,2469],"clock_positions":[613,1541,2469],"native_values":[797,797,334],"rotation_degrees":79.26724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[797,797,334],"beta":{"interval_sums":[446924,408958,430256],"interval_residues":[592,592,592],"display_cycle":[592,592,592],"intervals":[{"from_index":613,"to_index":1541,"sum":446924,"residue":592},{"from_index":1541,"to_index":2469,"sum":408958,"residue":592},{"from_index":2469,"to_index":613,"sum":430256,"residue":592}],"minimal_cycle":[592],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":592,"start_interval_clock_positions":[613,1541],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-614","shape":"Equilateral triangle","alpha_indices":[614,1542,2470],"clock_positions":[614,1542,2470],"native_values":[621,158,621],"rotation_degrees":79.39655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[621,158,621],"beta":{"interval_sums":[447100,409134,430432],"interval_residues":[768,768,768],"display_cycle":[768,768,768],"intervals":[{"from_index":614,"to_index":1542,"sum":447100,"residue":768},{"from_index":1542,"to_index":2470,"sum":409134,"residue":768},{"from_index":2470,"to_index":614,"sum":430432,"residue":768}],"minimal_cycle":[768],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":768,"start_interval_clock_positions":[614,1542],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-615","shape":"Equilateral triangle","alpha_indices":[615,1543,2471],"clock_positions":[615,1543,2471],"native_values":[492,29,29],"rotation_degrees":79.52586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,29,29],"beta":{"interval_sums":[446766,409726,431024],"interval_residues":[434,434,434],"display_cycle":[434,434,434],"intervals":[{"from_index":615,"to_index":1543,"sum":446766,"residue":434},{"from_index":1543,"to_index":2471,"sum":409726,"residue":434},{"from_index":2471,"to_index":615,"sum":431024,"residue":434}],"minimal_cycle":[434],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[615,1543],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-616","shape":"Equilateral triangle","alpha_indices":[616,1544,2472],"clock_positions":[616,1544,2472],"native_values":[187,187,650],"rotation_degrees":79.65517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[187,187,650],"beta":{"interval_sums":[446608,409568,430866],"interval_residues":[276,276,276],"display_cycle":[276,276,276],"intervals":[{"from_index":616,"to_index":1544,"sum":446608,"residue":276},{"from_index":1544,"to_index":2472,"sum":409568,"residue":276},{"from_index":2472,"to_index":616,"sum":430866,"residue":276}],"minimal_cycle":[276],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":276,"start_interval_clock_positions":[616,1544],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-617","shape":"Equilateral triangle","alpha_indices":[617,1545,2473],"clock_positions":[617,1545,2473],"native_values":[679,216,679],"rotation_degrees":79.78448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[679,216,679],"beta":{"interval_sums":[446116,410002,430374],"interval_residues":[710,710,710],"display_cycle":[710,710,710],"intervals":[{"from_index":617,"to_index":1545,"sum":446116,"residue":710},{"from_index":1545,"to_index":2473,"sum":410002,"residue":710},{"from_index":2473,"to_index":617,"sum":430374,"residue":710}],"minimal_cycle":[710],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":710,"start_interval_clock_positions":[617,1545],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-618","shape":"Equilateral triangle","alpha_indices":[618,1546,2474],"clock_positions":[618,1546,2474],"native_values":[866,403,403],"rotation_degrees":79.91379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[866,403,403],"beta":{"interval_sums":[445466,410278,430650],"interval_residues":[60,60,60],"display_cycle":[60,60,60],"intervals":[{"from_index":618,"to_index":1546,"sum":445466,"residue":60},{"from_index":1546,"to_index":2474,"sum":410278,"residue":60},{"from_index":2474,"to_index":618,"sum":430650,"residue":60}],"minimal_cycle":[60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[618,1546],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-619","shape":"Equilateral triangle","alpha_indices":[619,1547,2475],"clock_positions":[619,1547,2475],"native_values":[619,619,156],"rotation_degrees":80.04310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[619,619,156],"beta":{"interval_sums":[445250,410062,431360],"interval_residues":[770,770,770],"display_cycle":[770,770,770],"intervals":[{"from_index":619,"to_index":1547,"sum":445250,"residue":770},{"from_index":1547,"to_index":2475,"sum":410062,"residue":770},{"from_index":2475,"to_index":619,"sum":431360,"residue":770}],"minimal_cycle":[770],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":770,"start_interval_clock_positions":[619,1547],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-620","shape":"Equilateral triangle","alpha_indices":[620,1548,2476],"clock_positions":[620,1548,2476],"native_values":[559,96,559],"rotation_degrees":80.17241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[559,96,559],"beta":{"interval_sums":[445310,410122,431420],"interval_residues":[830,830,830],"display_cycle":[830,830,830],"intervals":[{"from_index":620,"to_index":1548,"sum":445310,"residue":830},{"from_index":1548,"to_index":2476,"sum":410122,"residue":830},{"from_index":2476,"to_index":620,"sum":431420,"residue":830}],"minimal_cycle":[830],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":830,"start_interval_clock_positions":[620,1548],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-621","shape":"Equilateral triangle","alpha_indices":[621,1549,2477],"clock_positions":[621,1549,2477],"native_values":[252,715,715],"rotation_degrees":80.30172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[252,715,715],"beta":{"interval_sums":[445154,409966,431264],"interval_residues":[674,674,674],"display_cycle":[674,674,674],"intervals":[{"from_index":621,"to_index":1549,"sum":445154,"residue":674},{"from_index":1549,"to_index":2477,"sum":409966,"residue":674},{"from_index":2477,"to_index":621,"sum":431264,"residue":674}],"minimal_cycle":[674],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":674,"start_interval_clock_positions":[621,1549],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-622","shape":"Equilateral triangle","alpha_indices":[622,1550,2478],"clock_positions":[622,1550,2478],"native_values":[811,811,348],"rotation_degrees":80.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[811,811,348],"beta":{"interval_sums":[445058,409870,431168],"interval_residues":[578,578,578],"display_cycle":[578,578,578],"intervals":[{"from_index":622,"to_index":1550,"sum":445058,"residue":578},{"from_index":1550,"to_index":2478,"sum":409870,"residue":578},{"from_index":2478,"to_index":622,"sum":431168,"residue":578}],"minimal_cycle":[578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[622,1550],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-623","shape":"Equilateral triangle","alpha_indices":[623,1551,2479],"clock_positions":[623,1551,2479],"native_values":[137,600,137],"rotation_degrees":80.5603448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,600,137],"beta":{"interval_sums":[445732,409618,431842],"interval_residues":[326,326,326],"display_cycle":[326,326,326],"intervals":[{"from_index":623,"to_index":1551,"sum":445732,"residue":326},{"from_index":1551,"to_index":2479,"sum":409618,"residue":326},{"from_index":2479,"to_index":623,"sum":431842,"residue":326}],"minimal_cycle":[326],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[623,1551],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-624","shape":"Equilateral triangle","alpha_indices":[624,1552,2480],"clock_positions":[624,1552,2480],"native_values":[22,485,485],"rotation_degrees":80.6896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[22,485,485],"beta":{"interval_sums":[446310,409270,431494],"interval_residues":[904,904,904],"display_cycle":[904,904,904],"intervals":[{"from_index":624,"to_index":1552,"sum":446310,"residue":904},{"from_index":1552,"to_index":2480,"sum":409270,"residue":904},{"from_index":2480,"to_index":624,"sum":431494,"residue":904}],"minimal_cycle":[904],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":904,"start_interval_clock_positions":[624,1552],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-625","shape":"Equilateral triangle","alpha_indices":[625,1553,2481],"clock_positions":[625,1553,2481],"native_values":[159,159,622],"rotation_degrees":80.81896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[159,159,622],"beta":{"interval_sums":[446636,409596,430894],"interval_residues":[304,304,304],"display_cycle":[304,304,304],"intervals":[{"from_index":625,"to_index":1553,"sum":446636,"residue":304},{"from_index":1553,"to_index":2481,"sum":409596,"residue":304},{"from_index":2481,"to_index":625,"sum":430894,"residue":304}],"minimal_cycle":[304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":304,"start_interval_clock_positions":[625,1553],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-626","shape":"Equilateral triangle","alpha_indices":[626,1554,2482],"clock_positions":[626,1554,2482],"native_values":[181,644,181],"rotation_degrees":80.94827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,644,181],"beta":{"interval_sums":[446614,409574,430872],"interval_residues":[282,282,282],"display_cycle":[282,282,282],"intervals":[{"from_index":626,"to_index":1554,"sum":446614,"residue":282},{"from_index":1554,"to_index":2482,"sum":409574,"residue":282},{"from_index":2482,"to_index":626,"sum":430872,"residue":282}],"minimal_cycle":[282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":282,"start_interval_clock_positions":[626,1554],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-627","shape":"Equilateral triangle","alpha_indices":[627,1555,2483],"clock_positions":[627,1555,2483],"native_values":[340,803,803],"rotation_degrees":81.07758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[340,803,803],"beta":{"interval_sums":[446918,408952,430250],"interval_residues":[586,586,586],"display_cycle":[586,586,586],"intervals":[{"from_index":627,"to_index":1555,"sum":446918,"residue":586},{"from_index":1555,"to_index":2483,"sum":408952,"residue":586},{"from_index":2483,"to_index":627,"sum":430250,"residue":586}],"minimal_cycle":[586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[627,1555],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-628","shape":"Equilateral triangle","alpha_indices":[628,1556,2484],"clock_positions":[628,1556,2484],"native_values":[521,521,58],"rotation_degrees":81.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[521,521,58],"beta":{"interval_sums":[447200,409234,430532],"interval_residues":[868,868,868],"display_cycle":[868,868,868],"intervals":[{"from_index":628,"to_index":1556,"sum":447200,"residue":868},{"from_index":1556,"to_index":2484,"sum":409234,"residue":868},{"from_index":2484,"to_index":628,"sum":430532,"residue":868}],"minimal_cycle":[868],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":868,"start_interval_clock_positions":[628,1556],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-629","shape":"Equilateral triangle","alpha_indices":[629,1557,2485],"clock_positions":[629,1557,2485],"native_values":[861,398,861],"rotation_degrees":81.33620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[861,398,861],"beta":{"interval_sums":[446860,408894,430192],"interval_residues":[528,528,528],"display_cycle":[528,528,528],"intervals":[{"from_index":629,"to_index":1557,"sum":446860,"residue":528},{"from_index":1557,"to_index":2485,"sum":408894,"residue":528},{"from_index":2485,"to_index":629,"sum":430192,"residue":528}],"minimal_cycle":[528],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":528,"start_interval_clock_positions":[629,1557],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-630","shape":"Equilateral triangle","alpha_indices":[630,1558,2486],"clock_positions":[630,1558,2486],"native_values":[456,919,919],"rotation_degrees":81.46551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[456,919,919],"beta":{"interval_sums":[446802,408836,430134],"interval_residues":[470,470,470],"display_cycle":[470,470,470],"intervals":[{"from_index":630,"to_index":1558,"sum":446802,"residue":470},{"from_index":1558,"to_index":2486,"sum":408836,"residue":470},{"from_index":2486,"to_index":630,"sum":430134,"residue":470}],"minimal_cycle":[470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[630,1558],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-631","shape":"Equilateral triangle","alpha_indices":[631,1559,2487],"clock_positions":[631,1559,2487],"native_values":[391,391,854],"rotation_degrees":81.59482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,391,854],"beta":{"interval_sums":[447330,409364,429736],"interval_residues":[72,72,72],"display_cycle":[72,72,72],"intervals":[{"from_index":631,"to_index":1559,"sum":447330,"residue":72},{"from_index":1559,"to_index":2487,"sum":409364,"residue":72},{"from_index":2487,"to_index":631,"sum":429736,"residue":72}],"minimal_cycle":[72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[631,1559],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-632","shape":"Equilateral triangle","alpha_indices":[632,1560,2488],"clock_positions":[632,1560,2488],"native_values":[847,384,847],"rotation_degrees":81.72413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[847,384,847],"beta":{"interval_sums":[446874,409834,429280],"interval_residues":[542,542,542],"display_cycle":[542,542,542],"intervals":[{"from_index":632,"to_index":1560,"sum":446874,"residue":542},{"from_index":1560,"to_index":2488,"sum":409834,"residue":542},{"from_index":2488,"to_index":632,"sum":429280,"residue":542}],"minimal_cycle":[542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[632,1560],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-633","shape":"Equilateral triangle","alpha_indices":[633,1561,2489],"clock_positions":[633,1561,2489],"native_values":[312,775,775],"rotation_degrees":81.85344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[312,775,775],"beta":{"interval_sums":[446946,409906,429352],"interval_residues":[614,614,614],"display_cycle":[614,614,614],"intervals":[{"from_index":633,"to_index":1561,"sum":446946,"residue":614},{"from_index":1561,"to_index":2489,"sum":409906,"residue":614},{"from_index":2489,"to_index":633,"sum":429352,"residue":614}],"minimal_cycle":[614],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":614,"start_interval_clock_positions":[633,1561],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-634","shape":"Equilateral triangle","alpha_indices":[634,1562,2490],"clock_positions":[634,1562,2490],"native_values":[233,233,696],"rotation_degrees":81.98275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,233,696],"beta":{"interval_sums":[447488,410448,428968],"interval_residues":[230,230,230],"display_cycle":[230,230,230],"intervals":[{"from_index":634,"to_index":1562,"sum":447488,"residue":230},{"from_index":1562,"to_index":2490,"sum":410448,"residue":230},{"from_index":2490,"to_index":634,"sum":428968,"residue":230}],"minimal_cycle":[230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[634,1562],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-635","shape":"Equilateral triangle","alpha_indices":[635,1563,2491],"clock_positions":[635,1563,2491],"native_values":[545,82,545],"rotation_degrees":82.11206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,82,545],"beta":{"interval_sums":[447176,411062,428656],"interval_residues":[844,844,844],"display_cycle":[844,844,844],"intervals":[{"from_index":635,"to_index":1563,"sum":447176,"residue":844},{"from_index":1563,"to_index":2491,"sum":411062,"residue":844},{"from_index":2491,"to_index":635,"sum":428656,"residue":844}],"minimal_cycle":[844],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":844,"start_interval_clock_positions":[635,1563],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-636","shape":"Equilateral triangle","alpha_indices":[636,1564,2492],"clock_positions":[636,1564,2492],"native_values":[778,315,315],"rotation_degrees":82.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[778,315,315],"beta":{"interval_sums":[446480,411292,428886],"interval_residues":[148,148,148],"display_cycle":[148,148,148],"intervals":[{"from_index":636,"to_index":1564,"sum":446480,"residue":148},{"from_index":1564,"to_index":2492,"sum":411292,"residue":148},{"from_index":2492,"to_index":636,"sum":428886,"residue":148}],"minimal_cycle":[148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[636,1564],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-637","shape":"Equilateral triangle","alpha_indices":[637,1565,2493],"clock_positions":[637,1565,2493],"native_values":[397,397,860],"rotation_degrees":82.37068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,397,860],"beta":{"interval_sums":[446398,411210,428804],"interval_residues":[66,66,66],"display_cycle":[66,66,66],"intervals":[{"from_index":637,"to_index":1565,"sum":446398,"residue":66},{"from_index":1565,"to_index":2493,"sum":411210,"residue":66},{"from_index":2493,"to_index":637,"sum":428804,"residue":66}],"minimal_cycle":[66],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":66,"start_interval_clock_positions":[637,1565],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-638","shape":"Equilateral triangle","alpha_indices":[638,1566,2494],"clock_positions":[638,1566,2494],"native_values":[249,712,249],"rotation_degrees":82.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,712,249],"beta":{"interval_sums":[446546,411358,428952],"interval_residues":[214,214,214],"display_cycle":[214,214,214],"intervals":[{"from_index":638,"to_index":1566,"sum":446546,"residue":214},{"from_index":1566,"to_index":2494,"sum":411358,"residue":214},{"from_index":2494,"to_index":638,"sum":428952,"residue":214}],"minimal_cycle":[214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":214,"start_interval_clock_positions":[638,1566],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-639","shape":"Equilateral triangle","alpha_indices":[639,1567,2495],"clock_positions":[639,1567,2495],"native_values":[646,183,183],"rotation_degrees":82.62931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[646,183,183],"beta":{"interval_sums":[446612,411424,429018],"interval_residues":[280,280,280],"display_cycle":[280,280,280],"intervals":[{"from_index":639,"to_index":1567,"sum":446612,"residue":280},{"from_index":1567,"to_index":2495,"sum":411424,"residue":280},{"from_index":2495,"to_index":639,"sum":429018,"residue":280}],"minimal_cycle":[280],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":280,"start_interval_clock_positions":[639,1567],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-640","shape":"Equilateral triangle","alpha_indices":[640,1568,2496],"clock_positions":[640,1568,2496],"native_values":[895,895,432],"rotation_degrees":82.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[895,895,432],"beta":{"interval_sums":[445900,410712,429232],"interval_residues":[494,494,494],"display_cycle":[494,494,494],"intervals":[{"from_index":640,"to_index":1568,"sum":445900,"residue":494},{"from_index":1568,"to_index":2496,"sum":410712,"residue":494},{"from_index":2496,"to_index":640,"sum":429232,"residue":494}],"minimal_cycle":[494],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":494,"start_interval_clock_positions":[640,1568],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-641","shape":"Equilateral triangle","alpha_indices":[641,1569,2497],"clock_positions":[641,1569,2497],"native_values":[615,152,615],"rotation_degrees":82.88793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[615,152,615],"beta":{"interval_sums":[446180,410992,429512],"interval_residues":[774,774,774],"display_cycle":[774,774,774],"intervals":[{"from_index":641,"to_index":1569,"sum":446180,"residue":774},{"from_index":1569,"to_index":2497,"sum":410992,"residue":774},{"from_index":2497,"to_index":641,"sum":429512,"residue":774}],"minimal_cycle":[774],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":774,"start_interval_clock_positions":[641,1569],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-642","shape":"Equilateral triangle","alpha_indices":[642,1570,2498],"clock_positions":[642,1570,2498],"native_values":[584,121,121],"rotation_degrees":83.01724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[584,121,121],"beta":{"interval_sums":[445748,411486,430006],"interval_residues":[342,342,342],"display_cycle":[342,342,342],"intervals":[{"from_index":642,"to_index":1570,"sum":445748,"residue":342},{"from_index":1570,"to_index":2498,"sum":411486,"residue":342},{"from_index":2498,"to_index":642,"sum":430006,"residue":342}],"minimal_cycle":[342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":342,"start_interval_clock_positions":[642,1570],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-643","shape":"Equilateral triangle","alpha_indices":[643,1571,2499],"clock_positions":[643,1571,2499],"native_values":[273,273,736],"rotation_degrees":83.14655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[273,273,736],"beta":{"interval_sums":[445596,411334,429854],"interval_residues":[190,190,190],"display_cycle":[190,190,190],"intervals":[{"from_index":643,"to_index":1571,"sum":445596,"residue":190},{"from_index":1571,"to_index":2499,"sum":411334,"residue":190},{"from_index":2499,"to_index":643,"sum":429854,"residue":190}],"minimal_cycle":[190],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":190,"start_interval_clock_positions":[643,1571],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-644","shape":"Equilateral triangle","alpha_indices":[644,1572,2500],"clock_positions":[644,1572,2500],"native_values":[857,394,857],"rotation_degrees":83.27586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[857,394,857],"beta":{"interval_sums":[445012,411676,429270],"interval_residues":[532,532,532],"display_cycle":[532,532,532],"intervals":[{"from_index":644,"to_index":1572,"sum":445012,"residue":532},{"from_index":1572,"to_index":2500,"sum":411676,"residue":532},{"from_index":2500,"to_index":644,"sum":429270,"residue":532}],"minimal_cycle":[532],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":532,"start_interval_clock_positions":[644,1572],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-645","shape":"Equilateral triangle","alpha_indices":[645,1573,2501],"clock_positions":[645,1573,2501],"native_values":[204,667,667],"rotation_degrees":83.40517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[204,667,667],"beta":{"interval_sums":[445202,411866,429460],"interval_residues":[722,722,722],"display_cycle":[722,722,722],"intervals":[{"from_index":645,"to_index":1573,"sum":445202,"residue":722},{"from_index":1573,"to_index":2501,"sum":411866,"residue":722},{"from_index":2501,"to_index":645,"sum":429460,"residue":722}],"minimal_cycle":[722],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":722,"start_interval_clock_positions":[645,1573],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-646","shape":"Equilateral triangle","alpha_indices":[646,1574,2502],"clock_positions":[646,1574,2502],"native_values":[135,135,598],"rotation_degrees":83.53448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,135,598],"beta":{"interval_sums":[445734,412398,429066],"interval_residues":[328,328,328],"display_cycle":[328,328,328],"intervals":[{"from_index":646,"to_index":1574,"sum":445734,"residue":328},{"from_index":1574,"to_index":2502,"sum":412398,"residue":328},{"from_index":2502,"to_index":646,"sum":429066,"residue":328}],"minimal_cycle":[328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":328,"start_interval_clock_positions":[646,1574],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-647","shape":"Equilateral triangle","alpha_indices":[647,1575,2503],"clock_positions":[647,1575,2503],"native_values":[339,802,339],"rotation_degrees":83.66379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[339,802,339],"beta":{"interval_sums":[445530,412194,428862],"interval_residues":[124,124,124],"display_cycle":[124,124,124],"intervals":[{"from_index":647,"to_index":1575,"sum":445530,"residue":124},{"from_index":1575,"to_index":2503,"sum":412194,"residue":124},{"from_index":2503,"to_index":647,"sum":428862,"residue":124}],"minimal_cycle":[124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[647,1575],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-648","shape":"Equilateral triangle","alpha_indices":[648,1576,2504],"clock_positions":[648,1576,2504],"native_values":[474,11,11],"rotation_degrees":83.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[474,11,11],"beta":{"interval_sums":[445858,412522,429190],"interval_residues":[452,452,452],"display_cycle":[452,452,452],"intervals":[{"from_index":648,"to_index":1576,"sum":445858,"residue":452},{"from_index":1576,"to_index":2504,"sum":412522,"residue":452},{"from_index":2504,"to_index":648,"sum":429190,"residue":452}],"minimal_cycle":[452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[648,1576],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-649","shape":"Equilateral triangle","alpha_indices":[649,1577,2505],"clock_positions":[649,1577,2505],"native_values":[813,813,350],"rotation_degrees":83.92241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[813,813,350],"beta":{"interval_sums":[445056,411720,429314],"interval_residues":[576,576,576],"display_cycle":[576,576,576],"intervals":[{"from_index":649,"to_index":1577,"sum":445056,"residue":576},{"from_index":1577,"to_index":2505,"sum":411720,"residue":576},{"from_index":2505,"to_index":649,"sum":429314,"residue":576}],"minimal_cycle":[576],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":576,"start_interval_clock_positions":[649,1577],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-650","shape":"Equilateral triangle","alpha_indices":[650,1578,2506],"clock_positions":[650,1578,2506],"native_values":[361,824,361],"rotation_degrees":84.05172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[361,824,361],"beta":{"interval_sums":[445508,411246,429766],"interval_residues":[102,102,102],"display_cycle":[102,102,102],"intervals":[{"from_index":650,"to_index":1578,"sum":445508,"residue":102},{"from_index":1578,"to_index":2506,"sum":411246,"residue":102},{"from_index":2506,"to_index":650,"sum":429766,"residue":102}],"minimal_cycle":[102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":102,"start_interval_clock_positions":[650,1578],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-651","shape":"Equilateral triangle","alpha_indices":[651,1579,2507],"clock_positions":[651,1579,2507],"native_values":[248,711,711],"rotation_degrees":84.18103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[248,711,711],"beta":{"interval_sums":[446084,410896,429416],"interval_residues":[678,678,678],"display_cycle":[678,678,678],"intervals":[{"from_index":651,"to_index":1579,"sum":446084,"residue":678},{"from_index":1579,"to_index":2507,"sum":410896,"residue":678},{"from_index":2507,"to_index":651,"sum":429416,"residue":678}],"minimal_cycle":[678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[651,1579],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-652","shape":"Equilateral triangle","alpha_indices":[652,1580,2508],"clock_positions":[652,1580,2508],"native_values":[609,609,146],"rotation_degrees":84.3103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[609,609,146],"beta":{"interval_sums":[446186,410998,429518],"interval_residues":[780,780,780],"display_cycle":[780,780,780],"intervals":[{"from_index":652,"to_index":1580,"sum":446186,"residue":780},{"from_index":1580,"to_index":2508,"sum":410998,"residue":780},{"from_index":2508,"to_index":652,"sum":429518,"residue":780}],"minimal_cycle":[780],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":780,"start_interval_clock_positions":[652,1580],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-653","shape":"Equilateral triangle","alpha_indices":[653,1581,2509],"clock_positions":[653,1581,2509],"native_values":[857,394,857],"rotation_degrees":84.4396551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[857,394,857],"beta":{"interval_sums":[445938,410750,429270],"interval_residues":[532,532,532],"display_cycle":[532,532,532],"intervals":[{"from_index":653,"to_index":1581,"sum":445938,"residue":532},{"from_index":1581,"to_index":2509,"sum":410750,"residue":532},{"from_index":2509,"to_index":653,"sum":429270,"residue":532}],"minimal_cycle":[532],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":532,"start_interval_clock_positions":[653,1581],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-654","shape":"Equilateral triangle","alpha_indices":[654,1582,2510],"clock_positions":[654,1582,2510],"native_values":[540,77,77],"rotation_degrees":84.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[540,77,77],"beta":{"interval_sums":[445792,411530,430050],"interval_residues":[386,386,386],"display_cycle":[386,386,386],"intervals":[{"from_index":654,"to_index":1582,"sum":445792,"residue":386},{"from_index":1582,"to_index":2510,"sum":411530,"residue":386},{"from_index":2510,"to_index":654,"sum":430050,"residue":386}],"minimal_cycle":[386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":386,"start_interval_clock_positions":[654,1582],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-655","shape":"Equilateral triangle","alpha_indices":[655,1583,2511],"clock_positions":[655,1583,2511],"native_values":[471,471,8],"rotation_degrees":84.69827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,471,8],"beta":{"interval_sums":[445398,411136,430582],"interval_residues":[918,918,918],"display_cycle":[918,918,918],"intervals":[{"from_index":655,"to_index":1583,"sum":445398,"residue":918},{"from_index":1583,"to_index":2511,"sum":411136,"residue":918},{"from_index":2511,"to_index":655,"sum":430582,"residue":918}],"minimal_cycle":[918],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":918,"start_interval_clock_positions":[655,1583],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-656","shape":"Equilateral triangle","alpha_indices":[656,1584,2512],"clock_positions":[656,1584,2512],"native_values":[85,548,85],"rotation_degrees":84.82758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,548,85],"beta":{"interval_sums":[445784,410596,430968],"interval_residues":[378,378,378],"display_cycle":[378,378,378],"intervals":[{"from_index":656,"to_index":1584,"sum":445784,"residue":378},{"from_index":1584,"to_index":2512,"sum":410596,"residue":378},{"from_index":2512,"to_index":656,"sum":430968,"residue":378}],"minimal_cycle":[378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[656,1584],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-657","shape":"Equilateral triangle","alpha_indices":[657,1585,2513],"clock_positions":[657,1585,2513],"native_values":[556,93,93],"rotation_degrees":84.95689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[556,93,93],"beta":{"interval_sums":[445776,410588,430960],"interval_residues":[370,370,370],"display_cycle":[370,370,370],"intervals":[{"from_index":657,"to_index":1585,"sum":445776,"residue":370},{"from_index":1585,"to_index":2513,"sum":410588,"residue":370},{"from_index":2513,"to_index":657,"sum":430960,"residue":370}],"minimal_cycle":[370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[657,1585],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-658","shape":"Equilateral triangle","alpha_indices":[658,1586,2514],"clock_positions":[658,1586,2514],"native_values":[641,641,178],"rotation_degrees":85.08620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,641,178],"beta":{"interval_sums":[445228,410040,431338],"interval_residues":[748,748,748],"display_cycle":[748,748,748],"intervals":[{"from_index":658,"to_index":1586,"sum":445228,"residue":748},{"from_index":1586,"to_index":2514,"sum":410040,"residue":748},{"from_index":2514,"to_index":658,"sum":431338,"residue":748}],"minimal_cycle":[748],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":748,"start_interval_clock_positions":[658,1586],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-659","shape":"Equilateral triangle","alpha_indices":[659,1587,2515],"clock_positions":[659,1587,2515],"native_values":[271,734,271],"rotation_degrees":85.21551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[271,734,271],"beta":{"interval_sums":[445598,409484,431708],"interval_residues":[192,192,192],"display_cycle":[192,192,192],"intervals":[{"from_index":659,"to_index":1587,"sum":445598,"residue":192},{"from_index":1587,"to_index":2515,"sum":409484,"residue":192},{"from_index":2515,"to_index":659,"sum":431708,"residue":192}],"minimal_cycle":[192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[659,1587],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-660","shape":"Equilateral triangle","alpha_indices":[660,1588,2516],"clock_positions":[660,1588,2516],"native_values":[912,449,449],"rotation_degrees":85.34482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[912,449,449],"beta":{"interval_sums":[445420,409306,431530],"interval_residues":[14,14,14],"display_cycle":[14,14,14],"intervals":[{"from_index":660,"to_index":1588,"sum":445420,"residue":14},{"from_index":1588,"to_index":2516,"sum":409306,"residue":14},{"from_index":2516,"to_index":660,"sum":431530,"residue":14}],"minimal_cycle":[14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[660,1588],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-661","shape":"Equilateral triangle","alpha_indices":[661,1589,2517],"clock_positions":[661,1589,2517],"native_values":[257,257,720],"rotation_degrees":85.47413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,257,720],"beta":{"interval_sums":[445612,409498,431722],"interval_residues":[206,206,206],"display_cycle":[206,206,206],"intervals":[{"from_index":661,"to_index":1589,"sum":445612,"residue":206},{"from_index":1589,"to_index":2517,"sum":409498,"residue":206},{"from_index":2517,"to_index":661,"sum":431722,"residue":206}],"minimal_cycle":[206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[661,1589],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-662","shape":"Equilateral triangle","alpha_indices":[662,1590,2518],"clock_positions":[662,1590,2518],"native_values":[243,706,243],"rotation_degrees":85.60344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,706,243],"beta":{"interval_sums":[445626,409512,431736],"interval_residues":[220,220,220],"display_cycle":[220,220,220],"intervals":[{"from_index":662,"to_index":1590,"sum":445626,"residue":220},{"from_index":1590,"to_index":2518,"sum":409512,"residue":220},{"from_index":2518,"to_index":662,"sum":431736,"residue":220}],"minimal_cycle":[220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[662,1590],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-663","shape":"Equilateral triangle","alpha_indices":[663,1591,2519],"clock_positions":[663,1591,2519],"native_values":[500,37,37],"rotation_degrees":85.73275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[500,37,37],"beta":{"interval_sums":[445832,409718,431942],"interval_residues":[426,426,426],"display_cycle":[426,426,426],"intervals":[{"from_index":663,"to_index":1591,"sum":445832,"residue":426},{"from_index":1591,"to_index":2519,"sum":409718,"residue":426},{"from_index":2519,"to_index":663,"sum":431942,"residue":426}],"minimal_cycle":[426],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":426,"start_interval_clock_positions":[663,1591],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-664","shape":"Equilateral triangle","alpha_indices":[664,1592,2520],"clock_positions":[664,1592,2520],"native_values":[743,743,280],"rotation_degrees":85.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[743,743,280],"beta":{"interval_sums":[445126,409012,432162],"interval_residues":[646,646,646],"display_cycle":[646,646,646],"intervals":[{"from_index":664,"to_index":1592,"sum":445126,"residue":646},{"from_index":1592,"to_index":2520,"sum":409012,"residue":646},{"from_index":2520,"to_index":664,"sum":432162,"residue":646}],"minimal_cycle":[646],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":646,"start_interval_clock_positions":[664,1592],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-665","shape":"Equilateral triangle","alpha_indices":[665,1593,2521],"clock_positions":[665,1593,2521],"native_values":[317,780,317],"rotation_degrees":85.99137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,780,317],"beta":{"interval_sums":[445552,408512,432588],"interval_residues":[146,146,146],"display_cycle":[146,146,146],"intervals":[{"from_index":665,"to_index":1593,"sum":445552,"residue":146},{"from_index":1593,"to_index":2521,"sum":408512,"residue":146},{"from_index":2521,"to_index":665,"sum":432588,"residue":146}],"minimal_cycle":[146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[665,1593],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-666","shape":"Equilateral triangle","alpha_indices":[666,1594,2522],"clock_positions":[666,1594,2522],"native_values":[134,597,597],"rotation_degrees":86.12068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[134,597,597],"beta":{"interval_sums":[446198,408232,432308],"interval_residues":[792,792,792],"display_cycle":[792,792,792],"intervals":[{"from_index":666,"to_index":1594,"sum":446198,"residue":792},{"from_index":1594,"to_index":2522,"sum":408232,"residue":792},{"from_index":2522,"to_index":666,"sum":432308,"residue":792}],"minimal_cycle":[792],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":792,"start_interval_clock_positions":[666,1594],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-667","shape":"Equilateral triangle","alpha_indices":[667,1595,2523],"clock_positions":[667,1595,2523],"native_values":[451,451,914],"rotation_degrees":86.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,451,914],"beta":{"interval_sums":[446344,408378,431528],"interval_residues":[12,12,12],"display_cycle":[12,12,12],"intervals":[{"from_index":667,"to_index":1595,"sum":446344,"residue":12},{"from_index":1595,"to_index":2523,"sum":408378,"residue":12},{"from_index":2523,"to_index":667,"sum":431528,"residue":12}],"minimal_cycle":[12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":12,"start_interval_clock_positions":[667,1595],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-668","shape":"Equilateral triangle","alpha_indices":[668,1596,2524],"clock_positions":[668,1596,2524],"native_values":[585,122,585],"rotation_degrees":86.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[585,122,585],"beta":{"interval_sums":[446210,409170,431394],"interval_residues":[804,804,804],"display_cycle":[804,804,804],"intervals":[{"from_index":668,"to_index":1596,"sum":446210,"residue":804},{"from_index":1596,"to_index":2524,"sum":409170,"residue":804},{"from_index":2524,"to_index":668,"sum":431394,"residue":804}],"minimal_cycle":[804],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":804,"start_interval_clock_positions":[668,1596],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-669","shape":"Equilateral triangle","alpha_indices":[669,1597,2525],"clock_positions":[669,1597,2525],"native_values":[110,573,573],"rotation_degrees":86.50862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[110,573,573],"beta":{"interval_sums":[446222,409182,431406],"interval_residues":[816,816,816],"display_cycle":[816,816,816],"intervals":[{"from_index":669,"to_index":1597,"sum":446222,"residue":816},{"from_index":1597,"to_index":2525,"sum":409182,"residue":816},{"from_index":2525,"to_index":669,"sum":431406,"residue":816}],"minimal_cycle":[816],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":816,"start_interval_clock_positions":[669,1597],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-670","shape":"Equilateral triangle","alpha_indices":[670,1598,2526],"clock_positions":[670,1598,2526],"native_values":[695,695,232],"rotation_degrees":86.63793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[695,695,232],"beta":{"interval_sums":[446100,409060,431284],"interval_residues":[694,694,694],"display_cycle":[694,694,694],"intervals":[{"from_index":670,"to_index":1598,"sum":446100,"residue":694},{"from_index":1598,"to_index":2526,"sum":409060,"residue":694},{"from_index":2526,"to_index":670,"sum":431284,"residue":694}],"minimal_cycle":[694],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":694,"start_interval_clock_positions":[670,1598],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-671","shape":"Equilateral triangle","alpha_indices":[671,1599,2527],"clock_positions":[671,1599,2527],"native_values":[805,342,805],"rotation_degrees":86.76724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[805,342,805],"beta":{"interval_sums":[445990,408950,431174],"interval_residues":[584,584,584],"display_cycle":[584,584,584],"intervals":[{"from_index":671,"to_index":1599,"sum":445990,"residue":584},{"from_index":1599,"to_index":2527,"sum":408950,"residue":584},{"from_index":2527,"to_index":671,"sum":431174,"residue":584}],"minimal_cycle":[584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[671,1599],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-672","shape":"Equilateral triangle","alpha_indices":[672,1600,2528],"clock_positions":[672,1600,2528],"native_values":[574,111,111],"rotation_degrees":86.89655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[574,111,111],"beta":{"interval_sums":[445758,409644,431868],"interval_residues":[352,352,352],"display_cycle":[352,352,352],"intervals":[{"from_index":672,"to_index":1600,"sum":445758,"residue":352},{"from_index":1600,"to_index":2528,"sum":409644,"residue":352},{"from_index":2528,"to_index":672,"sum":431868,"residue":352}],"minimal_cycle":[352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[672,1600],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-673","shape":"Equilateral triangle","alpha_indices":[673,1601,2529],"clock_positions":[673,1601,2529],"native_values":[453,453,916],"rotation_degrees":87.02586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[453,453,916],"beta":{"interval_sums":[445416,409302,431526],"interval_residues":[10,10,10],"display_cycle":[10,10,10],"intervals":[{"from_index":673,"to_index":1601,"sum":445416,"residue":10},{"from_index":1601,"to_index":2529,"sum":409302,"residue":10},{"from_index":2529,"to_index":673,"sum":431526,"residue":10}],"minimal_cycle":[10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":10,"start_interval_clock_positions":[673,1601],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-674","shape":"Equilateral triangle","alpha_indices":[674,1602,2530],"clock_positions":[674,1602,2530],"native_values":[101,564,101],"rotation_degrees":87.15517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,564,101],"beta":{"interval_sums":[445768,409654,431878],"interval_residues":[362,362,362],"display_cycle":[362,362,362],"intervals":[{"from_index":674,"to_index":1602,"sum":445768,"residue":362},{"from_index":1602,"to_index":2530,"sum":409654,"residue":362},{"from_index":2530,"to_index":674,"sum":431878,"residue":362}],"minimal_cycle":[362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[674,1602],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-675","shape":"Equilateral triangle","alpha_indices":[675,1603,2531],"clock_positions":[675,1603,2531],"native_values":[554,91,91],"rotation_degrees":87.28448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[554,91,91],"beta":{"interval_sums":[445778,409664,431888],"interval_residues":[372,372,372],"display_cycle":[372,372,372],"intervals":[{"from_index":675,"to_index":1603,"sum":445778,"residue":372},{"from_index":1603,"to_index":2531,"sum":409664,"residue":372},{"from_index":2531,"to_index":675,"sum":431888,"residue":372}],"minimal_cycle":[372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":372,"start_interval_clock_positions":[675,1603],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-676","shape":"Equilateral triangle","alpha_indices":[676,1604,2532],"clock_positions":[676,1604,2532],"native_values":[655,655,192],"rotation_degrees":87.41379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[655,655,192],"beta":{"interval_sums":[445214,409100,432250],"interval_residues":[734,734,734],"display_cycle":[734,734,734],"intervals":[{"from_index":676,"to_index":1604,"sum":445214,"residue":734},{"from_index":1604,"to_index":2532,"sum":409100,"residue":734},{"from_index":2532,"to_index":676,"sum":432250,"residue":734}],"minimal_cycle":[734],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":734,"start_interval_clock_positions":[676,1604],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-677","shape":"Equilateral triangle","alpha_indices":[677,1605,2533],"clock_positions":[677,1605,2533],"native_values":[283,746,283],"rotation_degrees":87.54310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,746,283],"beta":{"interval_sums":[445586,408546,432622],"interval_residues":[180,180,180],"display_cycle":[180,180,180],"intervals":[{"from_index":677,"to_index":1605,"sum":445586,"residue":180},{"from_index":1605,"to_index":2533,"sum":408546,"residue":180},{"from_index":2533,"to_index":677,"sum":432622,"residue":180}],"minimal_cycle":[180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[677,1605],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-678","shape":"Equilateral triangle","alpha_indices":[678,1606,2534],"clock_positions":[678,1606,2534],"native_values":[12,475,475],"rotation_degrees":87.67241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[12,475,475],"beta":{"interval_sums":[446320,408354,432430],"interval_residues":[914,914,914],"display_cycle":[914,914,914],"intervals":[{"from_index":678,"to_index":1606,"sum":446320,"residue":914},{"from_index":1606,"to_index":2534,"sum":408354,"residue":914},{"from_index":2534,"to_index":678,"sum":432430,"residue":914}],"minimal_cycle":[914],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":914,"start_interval_clock_positions":[678,1606],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-679","shape":"Equilateral triangle","alpha_indices":[679,1607,2535],"clock_positions":[679,1607,2535],"native_values":[295,295,758],"rotation_degrees":87.80172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,295,758],"beta":{"interval_sums":[446500,408534,431684],"interval_residues":[168,168,168],"display_cycle":[168,168,168],"intervals":[{"from_index":679,"to_index":1607,"sum":446500,"residue":168},{"from_index":1607,"to_index":2535,"sum":408534,"residue":168},{"from_index":2535,"to_index":679,"sum":431684,"residue":168}],"minimal_cycle":[168],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":168,"start_interval_clock_positions":[679,1607],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-680","shape":"Equilateral triangle","alpha_indices":[680,1608,2536],"clock_positions":[680,1608,2536],"native_values":[307,770,307],"rotation_degrees":87.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,770,307],"beta":{"interval_sums":[446488,408522,431672],"interval_residues":[156,156,156],"display_cycle":[156,156,156],"intervals":[{"from_index":680,"to_index":1608,"sum":446488,"residue":156},{"from_index":1608,"to_index":2536,"sum":408522,"residue":156},{"from_index":2536,"to_index":680,"sum":431672,"residue":156}],"minimal_cycle":[156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[680,1608],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-681","shape":"Equilateral triangle","alpha_indices":[681,1609,2537],"clock_positions":[681,1609,2537],"native_values":[602,139,139],"rotation_degrees":88.0603448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[602,139,139],"beta":{"interval_sums":[446656,408690,431840],"interval_residues":[324,324,324],"display_cycle":[324,324,324],"intervals":[{"from_index":681,"to_index":1609,"sum":446656,"residue":324},{"from_index":1609,"to_index":2537,"sum":408690,"residue":324},{"from_index":2537,"to_index":681,"sum":431840,"residue":324}],"minimal_cycle":[324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[681,1609],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-682","shape":"Equilateral triangle","alpha_indices":[682,1610,2538],"clock_positions":[682,1610,2538],"native_values":[909,909,446],"rotation_degrees":88.1896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[909,909,446],"beta":{"interval_sums":[445886,407920,431996],"interval_residues":[480,480,480],"display_cycle":[480,480,480],"intervals":[{"from_index":682,"to_index":1610,"sum":445886,"residue":480},{"from_index":1610,"to_index":2538,"sum":407920,"residue":480},{"from_index":2538,"to_index":682,"sum":431996,"residue":480}],"minimal_cycle":[480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[682,1610],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-683","shape":"Equilateral triangle","alpha_indices":[683,1611,2539],"clock_positions":[683,1611,2539],"native_values":[585,122,585],"rotation_degrees":88.31896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[585,122,585],"beta":{"interval_sums":[446210,408244,432320],"interval_residues":[804,804,804],"display_cycle":[804,804,804],"intervals":[{"from_index":683,"to_index":1611,"sum":446210,"residue":804},{"from_index":1611,"to_index":2539,"sum":408244,"residue":804},{"from_index":2539,"to_index":683,"sum":432320,"residue":804}],"minimal_cycle":[804],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":804,"start_interval_clock_positions":[683,1611],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-684","shape":"Equilateral triangle","alpha_indices":[684,1612,2540],"clock_positions":[684,1612,2540],"native_values":[568,105,105],"rotation_degrees":88.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[568,105,105],"beta":{"interval_sums":[445764,408724,432800],"interval_residues":[358,358,358],"display_cycle":[358,358,358],"intervals":[{"from_index":684,"to_index":1612,"sum":445764,"residue":358},{"from_index":1612,"to_index":2540,"sum":408724,"residue":358},{"from_index":2540,"to_index":684,"sum":432800,"residue":358}],"minimal_cycle":[358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":358,"start_interval_clock_positions":[684,1612],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-685","shape":"Equilateral triangle","alpha_indices":[685,1613,2541],"clock_positions":[685,1613,2541],"native_values":[227,227,690],"rotation_degrees":88.57758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,227,690],"beta":{"interval_sums":[445642,408602,432678],"interval_residues":[236,236,236],"display_cycle":[236,236,236],"intervals":[{"from_index":685,"to_index":1613,"sum":445642,"residue":236},{"from_index":1613,"to_index":2541,"sum":408602,"residue":236},{"from_index":2541,"to_index":685,"sum":432678,"residue":236}],"minimal_cycle":[236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[685,1613],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-686","shape":"Equilateral triangle","alpha_indices":[686,1614,2542],"clock_positions":[686,1614,2542],"native_values":[795,332,795],"rotation_degrees":88.70689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[795,332,795],"beta":{"interval_sums":[445074,408960,432110],"interval_residues":[594,594,594],"display_cycle":[594,594,594],"intervals":[{"from_index":686,"to_index":1614,"sum":445074,"residue":594},{"from_index":1614,"to_index":2542,"sum":408960,"residue":594},{"from_index":2542,"to_index":686,"sum":432110,"residue":594}],"minimal_cycle":[594],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":594,"start_interval_clock_positions":[686,1614],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-687","shape":"Equilateral triangle","alpha_indices":[687,1615,2543],"clock_positions":[687,1615,2543],"native_values":[96,559,559],"rotation_degrees":88.83620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[96,559,559],"beta":{"interval_sums":[445310,409196,432346],"interval_residues":[830,830,830],"display_cycle":[830,830,830],"intervals":[{"from_index":687,"to_index":1615,"sum":445310,"residue":830},{"from_index":1615,"to_index":2543,"sum":409196,"residue":830},{"from_index":2543,"to_index":687,"sum":432346,"residue":830}],"minimal_cycle":[830],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":830,"start_interval_clock_positions":[687,1615],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-688","shape":"Equilateral triangle","alpha_indices":[688,1616,2544],"clock_positions":[688,1616,2544],"native_values":[891,891,428],"rotation_degrees":88.96551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[891,891,428],"beta":{"interval_sums":[444978,408864,432014],"interval_residues":[498,498,498],"display_cycle":[498,498,498],"intervals":[{"from_index":688,"to_index":1616,"sum":444978,"residue":498},{"from_index":1616,"to_index":2544,"sum":408864,"residue":498},{"from_index":2544,"to_index":688,"sum":432014,"residue":498}],"minimal_cycle":[498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[688,1616],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-689","shape":"Equilateral triangle","alpha_indices":[689,1617,2545],"clock_positions":[689,1617,2545],"native_values":[61,524,61],"rotation_degrees":89.09482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,524,61],"beta":{"interval_sums":[445808,408768,432844],"interval_residues":[402,402,402],"display_cycle":[402,402,402],"intervals":[{"from_index":689,"to_index":1617,"sum":445808,"residue":402},{"from_index":1617,"to_index":2545,"sum":408768,"residue":402},{"from_index":2545,"to_index":689,"sum":432844,"residue":402}],"minimal_cycle":[402],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[689,1617],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-690","shape":"Equilateral triangle","alpha_indices":[690,1618,2546],"clock_positions":[690,1618,2546],"native_values":[26,489,489],"rotation_degrees":89.22413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[26,489,489],"beta":{"interval_sums":[446306,408340,432416],"interval_residues":[900,900,900],"display_cycle":[900,900,900],"intervals":[{"from_index":690,"to_index":1618,"sum":446306,"residue":900},{"from_index":1618,"to_index":2546,"sum":408340,"residue":900},{"from_index":2546,"to_index":690,"sum":432416,"residue":900}],"minimal_cycle":[900],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":900,"start_interval_clock_positions":[690,1618],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-691","shape":"Equilateral triangle","alpha_indices":[691,1619,2547],"clock_positions":[691,1619,2547],"native_values":[87,87,550],"rotation_degrees":89.35344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[87,87,550],"beta":{"interval_sums":[446708,408742,431892],"interval_residues":[376,376,376],"display_cycle":[376,376,376],"intervals":[{"from_index":691,"to_index":1619,"sum":446708,"residue":376},{"from_index":1619,"to_index":2547,"sum":408742,"residue":376},{"from_index":2547,"to_index":691,"sum":431892,"residue":376}],"minimal_cycle":[376],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":376,"start_interval_clock_positions":[691,1619],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-692","shape":"Equilateral triangle","alpha_indices":[692,1620,2548],"clock_positions":[692,1620,2548],"native_values":[113,576,113],"rotation_degrees":89.48275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[113,576,113],"beta":{"interval_sums":[446682,408716,431866],"interval_residues":[350,350,350],"display_cycle":[350,350,350],"intervals":[{"from_index":692,"to_index":1620,"sum":446682,"residue":350},{"from_index":1620,"to_index":2548,"sum":408716,"residue":350},{"from_index":2548,"to_index":692,"sum":431866,"residue":350}],"minimal_cycle":[350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[692,1620],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-693","shape":"Equilateral triangle","alpha_indices":[693,1621,2549],"clock_positions":[693,1621,2549],"native_values":[200,663,663],"rotation_degrees":89.61206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,663,663],"beta":{"interval_sums":[447058,408166,431316],"interval_residues":[726,726,726],"display_cycle":[726,726,726],"intervals":[{"from_index":693,"to_index":1621,"sum":447058,"residue":726},{"from_index":1621,"to_index":2549,"sum":408166,"residue":726},{"from_index":2549,"to_index":693,"sum":431316,"residue":726}],"minimal_cycle":[726],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":726,"start_interval_clock_positions":[693,1621],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-694","shape":"Equilateral triangle","alpha_indices":[694,1622,2550],"clock_positions":[694,1622,2550],"native_values":[313,313,776],"rotation_degrees":89.74137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,313,776],"beta":{"interval_sums":[447408,408516,430740],"interval_residues":[150,150,150],"display_cycle":[150,150,150],"intervals":[{"from_index":694,"to_index":1622,"sum":447408,"residue":150},{"from_index":1622,"to_index":2550,"sum":408516,"residue":150},{"from_index":2550,"to_index":694,"sum":430740,"residue":150}],"minimal_cycle":[150],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[694,1622],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-695","shape":"Equilateral triangle","alpha_indices":[695,1623,2551],"clock_positions":[695,1623,2551],"native_values":[513,50,513],"rotation_degrees":89.87068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,50,513],"beta":{"interval_sums":[447208,409242,430540],"interval_residues":[876,876,876],"display_cycle":[876,876,876],"intervals":[{"from_index":695,"to_index":1623,"sum":447208,"residue":876},{"from_index":1623,"to_index":2551,"sum":409242,"residue":876},{"from_index":2551,"to_index":695,"sum":430540,"residue":876}],"minimal_cycle":[876],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":876,"start_interval_clock_positions":[695,1623],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-696","shape":"Equilateral triangle","alpha_indices":[696,1624,2552],"clock_positions":[696,1624,2552],"native_values":[826,363,363],"rotation_degrees":90.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[826,363,363],"beta":{"interval_sums":[446432,409392,430690],"interval_residues":[100,100,100],"display_cycle":[100,100,100],"intervals":[{"from_index":696,"to_index":1624,"sum":446432,"residue":100},{"from_index":1624,"to_index":2552,"sum":409392,"residue":100},{"from_index":2552,"to_index":696,"sum":430690,"residue":100}],"minimal_cycle":[100],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":100,"start_interval_clock_positions":[696,1624],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-697","shape":"Equilateral triangle","alpha_indices":[697,1625,2553],"clock_positions":[697,1625,2553],"native_values":[413,413,876],"rotation_degrees":90.12931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[413,413,876],"beta":{"interval_sums":[446382,409342,430640],"interval_residues":[50,50,50],"display_cycle":[50,50,50],"intervals":[{"from_index":697,"to_index":1625,"sum":446382,"residue":50},{"from_index":1625,"to_index":2553,"sum":409342,"residue":50},{"from_index":2553,"to_index":697,"sum":430640,"residue":50}],"minimal_cycle":[50],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[697,1625],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-698","shape":"Equilateral triangle","alpha_indices":[698,1626,2554],"clock_positions":[698,1626,2554],"native_values":[313,776,313],"rotation_degrees":90.25862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,776,313],"beta":{"interval_sums":[446482,409442,430740],"interval_residues":[150,150,150],"display_cycle":[150,150,150],"intervals":[{"from_index":698,"to_index":1626,"sum":446482,"residue":150},{"from_index":1626,"to_index":2554,"sum":409442,"residue":150},{"from_index":2554,"to_index":698,"sum":430740,"residue":150}],"minimal_cycle":[150],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[698,1626],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-699","shape":"Equilateral triangle","alpha_indices":[699,1627,2555],"clock_positions":[699,1627,2555],"native_values":[726,263,263],"rotation_degrees":90.38793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[726,263,263],"beta":{"interval_sums":[446532,409492,430790],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":699,"to_index":1627,"sum":446532,"residue":200},{"from_index":1627,"to_index":2555,"sum":409492,"residue":200},{"from_index":2555,"to_index":699,"sum":430790,"residue":200}],"minimal_cycle":[200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[699,1627],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-700","shape":"Equilateral triangle","alpha_indices":[700,1628,2556],"clock_positions":[700,1628,2556],"native_values":[113,113,576],"rotation_degrees":90.51724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[113,113,576],"beta":{"interval_sums":[446682,409642,430940],"interval_residues":[350,350,350],"display_cycle":[350,350,350],"intervals":[{"from_index":700,"to_index":1628,"sum":446682,"residue":350},{"from_index":1628,"to_index":2556,"sum":409642,"residue":350},{"from_index":2556,"to_index":700,"sum":430940,"residue":350}],"minimal_cycle":[350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[700,1628],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-701","shape":"Equilateral triangle","alpha_indices":[701,1629,2557],"clock_positions":[701,1629,2557],"native_values":[839,376,839],"rotation_degrees":90.64655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[839,376,839],"beta":{"interval_sums":[445956,409842,430214],"interval_residues":[550,550,550],"display_cycle":[550,550,550],"intervals":[{"from_index":701,"to_index":1629,"sum":445956,"residue":550},{"from_index":1629,"to_index":2557,"sum":409842,"residue":550},{"from_index":2557,"to_index":701,"sum":430214,"residue":550}],"minimal_cycle":[550],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":550,"start_interval_clock_positions":[701,1629],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-702","shape":"Equilateral triangle","alpha_indices":[702,1630,2558],"clock_positions":[702,1630,2558],"native_values":[26,489,489],"rotation_degrees":90.77586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[26,489,489],"beta":{"interval_sums":[446306,410192,430564],"interval_residues":[900,900,900],"display_cycle":[900,900,900],"intervals":[{"from_index":702,"to_index":1630,"sum":446306,"residue":900},{"from_index":1630,"to_index":2558,"sum":410192,"residue":900},{"from_index":2558,"to_index":702,"sum":430564,"residue":900}],"minimal_cycle":[900],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":900,"start_interval_clock_positions":[702,1630],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-703","shape":"Equilateral triangle","alpha_indices":[703,1631,2559],"clock_positions":[703,1631,2559],"native_values":[865,865,402],"rotation_degrees":90.90517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[865,865,402],"beta":{"interval_sums":[445930,409816,430188],"interval_residues":[524,524,524],"display_cycle":[524,524,524],"intervals":[{"from_index":703,"to_index":1631,"sum":445930,"residue":524},{"from_index":1631,"to_index":2559,"sum":409816,"residue":524},{"from_index":2559,"to_index":703,"sum":430188,"residue":524}],"minimal_cycle":[524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[703,1631],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-704","shape":"Equilateral triangle","alpha_indices":[704,1632,2560],"clock_positions":[704,1632,2560],"native_values":[891,428,891],"rotation_degrees":91.03448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[891,428,891],"beta":{"interval_sums":[445904,409790,430162],"interval_residues":[498,498,498],"display_cycle":[498,498,498],"intervals":[{"from_index":704,"to_index":1632,"sum":445904,"residue":498},{"from_index":1632,"to_index":2560,"sum":409790,"residue":498},{"from_index":2560,"to_index":704,"sum":430162,"residue":498}],"minimal_cycle":[498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[704,1632],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-705","shape":"Equilateral triangle","alpha_indices":[705,1633,2561],"clock_positions":[705,1633,2561],"native_values":[830,367,367],"rotation_degrees":91.16379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[830,367,367],"beta":{"interval_sums":[445502,410314,430686],"interval_residues":[96,96,96],"display_cycle":[96,96,96],"intervals":[{"from_index":705,"to_index":1633,"sum":445502,"residue":96},{"from_index":1633,"to_index":2561,"sum":410314,"residue":96},{"from_index":2561,"to_index":705,"sum":430686,"residue":96}],"minimal_cycle":[96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[705,1633],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-706","shape":"Equilateral triangle","alpha_indices":[706,1634,2562],"clock_positions":[706,1634,2562],"native_values":[795,795,332],"rotation_degrees":91.29310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[795,795,332],"beta":{"interval_sums":[445074,409886,431184],"interval_residues":[594,594,594],"display_cycle":[594,594,594],"intervals":[{"from_index":706,"to_index":1634,"sum":445074,"residue":594},{"from_index":1634,"to_index":2562,"sum":409886,"residue":594},{"from_index":2562,"to_index":706,"sum":431184,"residue":594}],"minimal_cycle":[594],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":594,"start_interval_clock_positions":[706,1634],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-707","shape":"Equilateral triangle","alpha_indices":[707,1635,2563],"clock_positions":[707,1635,2563],"native_values":[699,236,699],"rotation_degrees":91.42241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[699,236,699],"beta":{"interval_sums":[445170,409982,431280],"interval_residues":[690,690,690],"display_cycle":[690,690,690],"intervals":[{"from_index":707,"to_index":1635,"sum":445170,"residue":690},{"from_index":1635,"to_index":2563,"sum":409982,"residue":690},{"from_index":2563,"to_index":707,"sum":431280,"residue":690}],"minimal_cycle":[690],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":690,"start_interval_clock_positions":[707,1635],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-708","shape":"Equilateral triangle","alpha_indices":[708,1636,2564],"clock_positions":[708,1636,2564],"native_values":[568,105,105],"rotation_degrees":91.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[568,105,105],"beta":{"interval_sums":[444838,410576,431874],"interval_residues":[358,358,358],"display_cycle":[358,358,358],"intervals":[{"from_index":708,"to_index":1636,"sum":444838,"residue":358},{"from_index":1636,"to_index":2564,"sum":410576,"residue":358},{"from_index":2564,"to_index":708,"sum":431874,"residue":358}],"minimal_cycle":[358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":358,"start_interval_clock_positions":[708,1636],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-709","shape":"Equilateral triangle","alpha_indices":[709,1637,2565],"clock_positions":[709,1637,2565],"native_values":[341,341,804],"rotation_degrees":91.68103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,341,804],"beta":{"interval_sums":[444602,410340,431638],"interval_residues":[122,122,122],"display_cycle":[122,122,122],"intervals":[{"from_index":709,"to_index":1637,"sum":444602,"residue":122},{"from_index":1637,"to_index":2565,"sum":410340,"residue":122},{"from_index":2565,"to_index":709,"sum":431638,"residue":122}],"minimal_cycle":[122],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[709,1637],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-710","shape":"Equilateral triangle","alpha_indices":[710,1638,2566],"clock_positions":[710,1638,2566],"native_values":[909,446,909],"rotation_degrees":91.8103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[909,446,909],"beta":{"interval_sums":[444034,410698,431070],"interval_residues":[480,480,480],"display_cycle":[480,480,480],"intervals":[{"from_index":710,"to_index":1638,"sum":444034,"residue":480},{"from_index":1638,"to_index":2566,"sum":410698,"residue":480},{"from_index":2566,"to_index":710,"sum":431070,"residue":480}],"minimal_cycle":[480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[710,1638],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-711","shape":"Equilateral triangle","alpha_indices":[711,1639,2567],"clock_positions":[711,1639,2567],"native_values":[324,787,787],"rotation_degrees":91.9396551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[324,787,787],"beta":{"interval_sums":[444156,410820,431192],"interval_residues":[602,602,602],"display_cycle":[602,602,602],"intervals":[{"from_index":711,"to_index":1639,"sum":444156,"residue":602},{"from_index":1639,"to_index":2567,"sum":410820,"residue":602},{"from_index":2567,"to_index":711,"sum":431192,"residue":602}],"minimal_cycle":[602],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":602,"start_interval_clock_positions":[711,1639],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-712","shape":"Equilateral triangle","alpha_indices":[712,1640,2568],"clock_positions":[712,1640,2568],"native_values":[307,307,770],"rotation_degrees":92.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,307,770],"beta":{"interval_sums":[444636,411300,430746],"interval_residues":[156,156,156],"display_cycle":[156,156,156],"intervals":[{"from_index":712,"to_index":1640,"sum":444636,"residue":156},{"from_index":1640,"to_index":2568,"sum":411300,"residue":156},{"from_index":2568,"to_index":712,"sum":430746,"residue":156}],"minimal_cycle":[156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[712,1640],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-713","shape":"Equilateral triangle","alpha_indices":[713,1641,2569],"clock_positions":[713,1641,2569],"native_values":[631,168,631],"rotation_degrees":92.19827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[631,168,631],"beta":{"interval_sums":[444312,411902,430422],"interval_residues":[758,758,758],"display_cycle":[758,758,758],"intervals":[{"from_index":713,"to_index":1641,"sum":444312,"residue":758},{"from_index":1641,"to_index":2569,"sum":411902,"residue":758},{"from_index":2569,"to_index":713,"sum":430422,"residue":758}],"minimal_cycle":[758],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":758,"start_interval_clock_positions":[713,1641],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-714","shape":"Equilateral triangle","alpha_indices":[714,1642,2570],"clock_positions":[714,1642,2570],"native_values":[12,475,475],"rotation_degrees":92.32758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[12,475,475],"beta":{"interval_sums":[444468,412058,430578],"interval_residues":[914,914,914],"display_cycle":[914,914,914],"intervals":[{"from_index":714,"to_index":1642,"sum":444468,"residue":914},{"from_index":1642,"to_index":2570,"sum":412058,"residue":914},{"from_index":2570,"to_index":714,"sum":430578,"residue":914}],"minimal_cycle":[914],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":914,"start_interval_clock_positions":[714,1642],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-715","shape":"Equilateral triangle","alpha_indices":[715,1643,2571],"clock_positions":[715,1643,2571],"native_values":[643,643,180],"rotation_degrees":92.45689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[643,643,180],"beta":{"interval_sums":[444300,411890,430410],"interval_residues":[746,746,746],"display_cycle":[746,746,746],"intervals":[{"from_index":715,"to_index":1643,"sum":444300,"residue":746},{"from_index":1643,"to_index":2571,"sum":411890,"residue":746},{"from_index":2571,"to_index":715,"sum":430410,"residue":746}],"minimal_cycle":[746],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":746,"start_interval_clock_positions":[715,1643],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-716","shape":"Equilateral triangle","alpha_indices":[716,1644,2572],"clock_positions":[716,1644,2572],"native_values":[655,192,655],"rotation_degrees":92.58620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[655,192,655],"beta":{"interval_sums":[444288,411878,430398],"interval_residues":[734,734,734],"display_cycle":[734,734,734],"intervals":[{"from_index":716,"to_index":1644,"sum":444288,"residue":734},{"from_index":1644,"to_index":2572,"sum":411878,"residue":734},{"from_index":2572,"to_index":716,"sum":430398,"residue":734}],"minimal_cycle":[734],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":734,"start_interval_clock_positions":[716,1644],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-717","shape":"Equilateral triangle","alpha_indices":[717,1645,2573],"clock_positions":[717,1645,2573],"native_values":[372,835,835],"rotation_degrees":92.71551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[372,835,835],"beta":{"interval_sums":[444108,411698,430218],"interval_residues":[554,554,554],"display_cycle":[554,554,554],"intervals":[{"from_index":717,"to_index":1645,"sum":444108,"residue":554},{"from_index":1645,"to_index":2573,"sum":411698,"residue":554},{"from_index":2573,"to_index":717,"sum":430218,"residue":554}],"minimal_cycle":[554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[717,1645],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-718","shape":"Equilateral triangle","alpha_indices":[718,1646,2574],"clock_positions":[718,1646,2574],"native_values":[101,101,564],"rotation_degrees":92.84482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,101,564],"beta":{"interval_sums":[444842,412432,430026],"interval_residues":[362,362,362],"display_cycle":[362,362,362],"intervals":[{"from_index":718,"to_index":1646,"sum":444842,"residue":362},{"from_index":1646,"to_index":2574,"sum":412432,"residue":362},{"from_index":2574,"to_index":718,"sum":430026,"residue":362}],"minimal_cycle":[362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[718,1646],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-719","shape":"Equilateral triangle","alpha_indices":[719,1647,2575],"clock_positions":[719,1647,2575],"native_values":[473,10,473],"rotation_degrees":92.97413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,10,473],"beta":{"interval_sums":[444470,412986,429654],"interval_residues":[916,916,916],"display_cycle":[916,916,916],"intervals":[{"from_index":719,"to_index":1647,"sum":444470,"residue":916},{"from_index":1647,"to_index":2575,"sum":412986,"residue":916},{"from_index":2575,"to_index":719,"sum":429654,"residue":916}],"minimal_cycle":[916],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":916,"start_interval_clock_positions":[719,1647],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-720","shape":"Equilateral triangle","alpha_indices":[720,1648,2576],"clock_positions":[720,1648,2576],"native_values":[574,111,111],"rotation_degrees":93.10344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[574,111,111],"beta":{"interval_sums":[443906,413348,430016],"interval_residues":[352,352,352],"display_cycle":[352,352,352],"intervals":[{"from_index":720,"to_index":1648,"sum":443906,"residue":352},{"from_index":1648,"to_index":2576,"sum":413348,"residue":352},{"from_index":2576,"to_index":720,"sum":430016,"residue":352}],"minimal_cycle":[352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[720,1648],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-721","shape":"Equilateral triangle","alpha_indices":[721,1649,2577],"clock_positions":[721,1649,2577],"native_values":[121,121,584],"rotation_degrees":93.23275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[121,121,584],"beta":{"interval_sums":[443896,413338,430006],"interval_residues":[342,342,342],"display_cycle":[342,342,342],"intervals":[{"from_index":721,"to_index":1649,"sum":443896,"residue":342},{"from_index":1649,"to_index":2577,"sum":413338,"residue":342},{"from_index":2577,"to_index":721,"sum":430006,"residue":342}],"minimal_cycle":[342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":342,"start_interval_clock_positions":[721,1649],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-722","shape":"Equilateral triangle","alpha_indices":[722,1650,2578],"clock_positions":[722,1650,2578],"native_values":[695,232,695],"rotation_degrees":93.36206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[695,232,695],"beta":{"interval_sums":[443322,413690,429432],"interval_residues":[694,694,694],"display_cycle":[694,694,694],"intervals":[{"from_index":722,"to_index":1650,"sum":443322,"residue":694},{"from_index":1650,"to_index":2578,"sum":413690,"residue":694},{"from_index":2578,"to_index":722,"sum":429432,"residue":694}],"minimal_cycle":[694],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":694,"start_interval_clock_positions":[722,1650],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-723","shape":"Equilateral triangle","alpha_indices":[723,1651,2579],"clock_positions":[723,1651,2579],"native_values":[816,353,353],"rotation_degrees":93.49137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[816,353,353],"beta":{"interval_sums":[442738,414032,429774],"interval_residues":[110,110,110],"display_cycle":[110,110,110],"intervals":[{"from_index":723,"to_index":1651,"sum":442738,"residue":110},{"from_index":1651,"to_index":2579,"sum":414032,"residue":110},{"from_index":2579,"to_index":723,"sum":429774,"residue":110}],"minimal_cycle":[110],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":110,"start_interval_clock_positions":[723,1651],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-724","shape":"Equilateral triangle","alpha_indices":[724,1652,2580],"clock_positions":[724,1652,2580],"native_values":[585,585,122],"rotation_degrees":93.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[585,585,122],"beta":{"interval_sums":[442506,413800,430468],"interval_residues":[804,804,804],"display_cycle":[804,804,804],"intervals":[{"from_index":724,"to_index":1652,"sum":442506,"residue":804},{"from_index":1652,"to_index":2580,"sum":413800,"residue":804},{"from_index":2580,"to_index":724,"sum":430468,"residue":804}],"minimal_cycle":[804],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":804,"start_interval_clock_positions":[724,1652],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-725","shape":"Equilateral triangle","alpha_indices":[725,1653,2581],"clock_positions":[725,1653,2581],"native_values":[475,12,475],"rotation_degrees":93.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[475,12,475],"beta":{"interval_sums":[442616,413910,430578],"interval_residues":[914,914,914],"display_cycle":[914,914,914],"intervals":[{"from_index":725,"to_index":1653,"sum":442616,"residue":914},{"from_index":1653,"to_index":2581,"sum":413910,"residue":914},{"from_index":2581,"to_index":725,"sum":430578,"residue":914}],"minimal_cycle":[914],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":914,"start_interval_clock_positions":[725,1653],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-726","shape":"Equilateral triangle","alpha_indices":[726,1654,2582],"clock_positions":[726,1654,2582],"native_values":[134,597,597],"rotation_degrees":93.87931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[134,597,597],"beta":{"interval_sums":[442494,413788,430456],"interval_residues":[792,792,792],"display_cycle":[792,792,792],"intervals":[{"from_index":726,"to_index":1654,"sum":442494,"residue":792},{"from_index":1654,"to_index":2582,"sum":413788,"residue":792},{"from_index":2582,"to_index":726,"sum":430456,"residue":792}],"minimal_cycle":[792],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":792,"start_interval_clock_positions":[726,1654],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-727","shape":"Equilateral triangle","alpha_indices":[727,1655,2583],"clock_positions":[727,1655,2583],"native_values":[609,609,146],"rotation_degrees":94.00862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[609,609,146],"beta":{"interval_sums":[442482,413776,430444],"interval_residues":[780,780,780],"display_cycle":[780,780,780],"intervals":[{"from_index":727,"to_index":1655,"sum":442482,"residue":780},{"from_index":1655,"to_index":2583,"sum":413776,"residue":780},{"from_index":2583,"to_index":727,"sum":430444,"residue":780}],"minimal_cycle":[780],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":780,"start_interval_clock_positions":[727,1655],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-728","shape":"Equilateral triangle","alpha_indices":[728,1656,2584],"clock_positions":[728,1656,2584],"native_values":[743,280,743],"rotation_degrees":94.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[743,280,743],"beta":{"interval_sums":[442348,413642,430310],"interval_residues":[646,646,646],"display_cycle":[646,646,646],"intervals":[{"from_index":728,"to_index":1656,"sum":442348,"residue":646},{"from_index":1656,"to_index":2584,"sum":413642,"residue":646},{"from_index":2584,"to_index":728,"sum":430310,"residue":646}],"minimal_cycle":[646],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":646,"start_interval_clock_positions":[728,1656],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-729","shape":"Equilateral triangle","alpha_indices":[729,1657,2585],"clock_positions":[729,1657,2585],"native_values":[426,889,889],"rotation_degrees":94.26724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[426,889,889],"beta":{"interval_sums":[442202,413496,430164],"interval_residues":[500,500,500],"display_cycle":[500,500,500],"intervals":[{"from_index":729,"to_index":1657,"sum":442202,"residue":500},{"from_index":1657,"to_index":2585,"sum":413496,"residue":500},{"from_index":2585,"to_index":729,"sum":430164,"residue":500}],"minimal_cycle":[500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[729,1657],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-730","shape":"Equilateral triangle","alpha_indices":[730,1658,2586],"clock_positions":[730,1658,2586],"native_values":[243,243,706],"rotation_degrees":94.39655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,243,706],"beta":{"interval_sums":[442848,414142,429884],"interval_residues":[220,220,220],"display_cycle":[220,220,220],"intervals":[{"from_index":730,"to_index":1658,"sum":442848,"residue":220},{"from_index":1658,"to_index":2586,"sum":414142,"residue":220},{"from_index":2586,"to_index":730,"sum":429884,"residue":220}],"minimal_cycle":[220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[730,1658],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-731","shape":"Equilateral triangle","alpha_indices":[731,1659,2587],"clock_positions":[731,1659,2587],"native_values":[669,206,669],"rotation_degrees":94.52586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,206,669],"beta":{"interval_sums":[442422,414642,429458],"interval_residues":[720,720,720],"display_cycle":[720,720,720],"intervals":[{"from_index":731,"to_index":1659,"sum":442422,"residue":720},{"from_index":1659,"to_index":2587,"sum":414642,"residue":720},{"from_index":2587,"to_index":731,"sum":429458,"residue":720}],"minimal_cycle":[720],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":720,"start_interval_clock_positions":[731,1659],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-732","shape":"Equilateral triangle","alpha_indices":[732,1660,2588],"clock_positions":[732,1660,2588],"native_values":[912,449,449],"rotation_degrees":94.65517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[912,449,449],"beta":{"interval_sums":[441716,414862,429678],"interval_residues":[14,14,14],"display_cycle":[14,14,14],"intervals":[{"from_index":732,"to_index":1660,"sum":441716,"residue":14},{"from_index":1660,"to_index":2588,"sum":414862,"residue":14},{"from_index":2588,"to_index":732,"sum":429678,"residue":14}],"minimal_cycle":[14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[732,1660],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-733","shape":"Equilateral triangle","alpha_indices":[733,1661,2589],"clock_positions":[733,1661,2589],"native_values":[655,655,192],"rotation_degrees":94.78448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[655,655,192],"beta":{"interval_sums":[441510,414656,430398],"interval_residues":[734,734,734],"display_cycle":[734,734,734],"intervals":[{"from_index":733,"to_index":1661,"sum":441510,"residue":734},{"from_index":1661,"to_index":2589,"sum":414656,"residue":734},{"from_index":2589,"to_index":733,"sum":430398,"residue":734}],"minimal_cycle":[734],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":734,"start_interval_clock_positions":[733,1661],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-734","shape":"Equilateral triangle","alpha_indices":[734,1662,2590],"clock_positions":[734,1662,2590],"native_values":[641,178,641],"rotation_degrees":94.91379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,178,641],"beta":{"interval_sums":[441524,414670,430412],"interval_residues":[748,748,748],"display_cycle":[748,748,748],"intervals":[{"from_index":734,"to_index":1662,"sum":441524,"residue":748},{"from_index":1662,"to_index":2590,"sum":414670,"residue":748},{"from_index":2590,"to_index":734,"sum":430412,"residue":748}],"minimal_cycle":[748],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":748,"start_interval_clock_positions":[734,1662],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-735","shape":"Equilateral triangle","alpha_indices":[735,1663,2591],"clock_positions":[735,1663,2591],"native_values":[370,833,833],"rotation_degrees":95.04310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[370,833,833],"beta":{"interval_sums":[441332,414478,430220],"interval_residues":[556,556,556],"display_cycle":[556,556,556],"intervals":[{"from_index":735,"to_index":1663,"sum":441332,"residue":556},{"from_index":1663,"to_index":2591,"sum":414478,"residue":556},{"from_index":2591,"to_index":735,"sum":430220,"residue":556}],"minimal_cycle":[556],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":556,"start_interval_clock_positions":[735,1663],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-736","shape":"Equilateral triangle","alpha_indices":[736,1664,2592],"clock_positions":[736,1664,2592],"native_values":[85,85,548],"rotation_degrees":95.17241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,85,548],"beta":{"interval_sums":[442080,415226,430042],"interval_residues":[378,378,378],"display_cycle":[378,378,378],"intervals":[{"from_index":736,"to_index":1664,"sum":442080,"residue":378},{"from_index":1664,"to_index":2592,"sum":415226,"residue":378},{"from_index":2592,"to_index":736,"sum":430042,"residue":378}],"minimal_cycle":[378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[736,1664],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-737","shape":"Equilateral triangle","alpha_indices":[737,1665,2593],"clock_positions":[737,1665,2593],"native_values":[455,918,455],"rotation_degrees":95.30172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[455,918,455],"beta":{"interval_sums":[441710,414856,429672],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":737,"to_index":1665,"sum":441710,"residue":8},{"from_index":1665,"to_index":2593,"sum":414856,"residue":8},{"from_index":2593,"to_index":737,"sum":429672,"residue":8}],"minimal_cycle":[8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[737,1665],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-738","shape":"Equilateral triangle","alpha_indices":[738,1666,2594],"clock_positions":[738,1666,2594],"native_values":[540,77,77],"rotation_degrees":95.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[540,77,77],"beta":{"interval_sums":[442088,415234,430050],"interval_residues":[386,386,386],"display_cycle":[386,386,386],"intervals":[{"from_index":738,"to_index":1666,"sum":442088,"residue":386},{"from_index":1666,"to_index":2594,"sum":415234,"residue":386},{"from_index":2594,"to_index":738,"sum":430050,"residue":386}],"minimal_cycle":[386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":386,"start_interval_clock_positions":[738,1666],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-739","shape":"Equilateral triangle","alpha_indices":[739,1667,2595],"clock_positions":[739,1667,2595],"native_values":[69,69,532],"rotation_degrees":95.5603448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[69,69,532],"beta":{"interval_sums":[442096,415242,430058],"interval_residues":[394,394,394],"display_cycle":[394,394,394],"intervals":[{"from_index":739,"to_index":1667,"sum":442096,"residue":394},{"from_index":1667,"to_index":2595,"sum":415242,"residue":394},{"from_index":2595,"to_index":739,"sum":430058,"residue":394}],"minimal_cycle":[394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[739,1667],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-740","shape":"Equilateral triangle","alpha_indices":[740,1668,2596],"clock_positions":[740,1668,2596],"native_values":[609,146,609],"rotation_degrees":95.6896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[609,146,609],"beta":{"interval_sums":[441556,415628,429518],"interval_residues":[780,780,780],"display_cycle":[780,780,780],"intervals":[{"from_index":740,"to_index":1668,"sum":441556,"residue":780},{"from_index":1668,"to_index":2596,"sum":415628,"residue":780},{"from_index":2596,"to_index":740,"sum":429518,"residue":780}],"minimal_cycle":[780],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":780,"start_interval_clock_positions":[740,1668],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-741","shape":"Equilateral triangle","alpha_indices":[741,1669,2597],"clock_positions":[741,1669,2597],"native_values":[678,215,215],"rotation_degrees":95.81896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[678,215,215],"beta":{"interval_sums":[441024,416022,429912],"interval_residues":[248,248,248],"display_cycle":[248,248,248],"intervals":[{"from_index":741,"to_index":1669,"sum":441024,"residue":248},{"from_index":1669,"to_index":2597,"sum":416022,"residue":248},{"from_index":2597,"to_index":741,"sum":429912,"residue":248}],"minimal_cycle":[248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[741,1669],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-742","shape":"Equilateral triangle","alpha_indices":[742,1670,2598],"clock_positions":[742,1670,2598],"native_values":[361,361,824],"rotation_degrees":95.94827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[361,361,824],"beta":{"interval_sums":[440878,415876,429766],"interval_residues":[102,102,102],"display_cycle":[102,102,102],"intervals":[{"from_index":742,"to_index":1670,"sum":440878,"residue":102},{"from_index":1670,"to_index":2598,"sum":415876,"residue":102},{"from_index":2598,"to_index":742,"sum":429766,"residue":102}],"minimal_cycle":[102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":102,"start_interval_clock_positions":[742,1670],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-743","shape":"Equilateral triangle","alpha_indices":[743,1671,2599],"clock_positions":[743,1671,2599],"native_values":[113,576,113],"rotation_degrees":96.07758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[113,576,113],"beta":{"interval_sums":[441126,416124,430014],"interval_residues":[350,350,350],"display_cycle":[350,350,350],"intervals":[{"from_index":743,"to_index":1671,"sum":441126,"residue":350},{"from_index":1671,"to_index":2599,"sum":416124,"residue":350},{"from_index":2599,"to_index":743,"sum":430014,"residue":350}],"minimal_cycle":[350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[743,1671],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-744","shape":"Equilateral triangle","alpha_indices":[744,1672,2600],"clock_positions":[744,1672,2600],"native_values":[474,11,11],"rotation_degrees":96.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[474,11,11],"beta":{"interval_sums":[441228,416226,430116],"interval_residues":[452,452,452],"display_cycle":[452,452,452],"intervals":[{"from_index":744,"to_index":1672,"sum":441228,"residue":452},{"from_index":1672,"to_index":2600,"sum":416226,"residue":452},{"from_index":2600,"to_index":744,"sum":430116,"residue":452}],"minimal_cycle":[452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[744,1672],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-745","shape":"Equilateral triangle","alpha_indices":[745,1673,2601],"clock_positions":[745,1673,2601],"native_values":[587,587,124],"rotation_degrees":96.33620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,587,124],"beta":{"interval_sums":[440652,415650,430466],"interval_residues":[802,802,802],"display_cycle":[802,802,802],"intervals":[{"from_index":745,"to_index":1673,"sum":440652,"residue":802},{"from_index":1673,"to_index":2601,"sum":415650,"residue":802},{"from_index":2601,"to_index":745,"sum":430466,"residue":802}],"minimal_cycle":[802],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":802,"start_interval_clock_positions":[745,1673],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-746","shape":"Equilateral triangle","alpha_indices":[746,1674,2602],"clock_positions":[746,1674,2602],"native_values":[135,598,135],"rotation_degrees":96.46551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,598,135],"beta":{"interval_sums":[441104,415176,430918],"interval_residues":[328,328,328],"display_cycle":[328,328,328],"intervals":[{"from_index":746,"to_index":1674,"sum":441104,"residue":328},{"from_index":1674,"to_index":2602,"sum":415176,"residue":328},{"from_index":2602,"to_index":746,"sum":430918,"residue":328}],"minimal_cycle":[328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":328,"start_interval_clock_positions":[746,1674],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-747","shape":"Equilateral triangle","alpha_indices":[747,1675,2603],"clock_positions":[747,1675,2603],"native_values":[722,259,259],"rotation_degrees":96.59482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[722,259,259],"beta":{"interval_sums":[440980,415052,430794],"interval_residues":[204,204,204],"display_cycle":[204,204,204],"intervals":[{"from_index":747,"to_index":1675,"sum":440980,"residue":204},{"from_index":1675,"to_index":2603,"sum":415052,"residue":204},{"from_index":2603,"to_index":747,"sum":430794,"residue":204}],"minimal_cycle":[204],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":204,"start_interval_clock_positions":[747,1675],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-748","shape":"Equilateral triangle","alpha_indices":[748,1676,2604],"clock_positions":[748,1676,2604],"native_values":[857,857,394],"rotation_degrees":96.72413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[857,857,394],"beta":{"interval_sums":[440382,414454,431122],"interval_residues":[532,532,532],"display_cycle":[532,532,532],"intervals":[{"from_index":748,"to_index":1676,"sum":440382,"residue":532},{"from_index":1676,"to_index":2604,"sum":414454,"residue":532},{"from_index":2604,"to_index":748,"sum":431122,"residue":532}],"minimal_cycle":[532],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":532,"start_interval_clock_positions":[748,1676],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-749","shape":"Equilateral triangle","alpha_indices":[749,1677,2605],"clock_positions":[749,1677,2605],"native_values":[653,190,653],"rotation_degrees":96.85344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,190,653],"beta":{"interval_sums":[440586,414658,431326],"interval_residues":[736,736,736],"display_cycle":[736,736,736],"intervals":[{"from_index":749,"to_index":1677,"sum":440586,"residue":736},{"from_index":1677,"to_index":2605,"sum":414658,"residue":736},{"from_index":2605,"to_index":749,"sum":431326,"residue":736}],"minimal_cycle":[736],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":736,"start_interval_clock_positions":[749,1677],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-750","shape":"Equilateral triangle","alpha_indices":[750,1678,2606],"clock_positions":[750,1678,2606],"native_values":[584,121,121],"rotation_degrees":96.98275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[584,121,121],"beta":{"interval_sums":[440192,415190,431858],"interval_residues":[342,342,342],"display_cycle":[342,342,342],"intervals":[{"from_index":750,"to_index":1678,"sum":440192,"residue":342},{"from_index":1678,"to_index":2606,"sum":415190,"residue":342},{"from_index":2606,"to_index":750,"sum":431858,"residue":342}],"minimal_cycle":[342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":342,"start_interval_clock_positions":[750,1678],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-751","shape":"Equilateral triangle","alpha_indices":[751,1679,2607],"clock_positions":[751,1679,2607],"native_values":[311,311,774],"rotation_degrees":97.11206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,311,774],"beta":{"interval_sums":[440002,415000,431668],"interval_residues":[152,152,152],"display_cycle":[152,152,152],"intervals":[{"from_index":751,"to_index":1679,"sum":440002,"residue":152},{"from_index":1679,"to_index":2607,"sum":415000,"residue":152},{"from_index":2607,"to_index":751,"sum":431668,"residue":152}],"minimal_cycle":[152],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":152,"start_interval_clock_positions":[751,1679],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-752","shape":"Equilateral triangle","alpha_indices":[752,1680,2608],"clock_positions":[752,1680,2608],"native_values":[895,432,895],"rotation_degrees":97.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[895,432,895],"beta":{"interval_sums":[439418,415342,431084],"interval_residues":[494,494,494],"display_cycle":[494,494,494],"intervals":[{"from_index":752,"to_index":1680,"sum":439418,"residue":494},{"from_index":1680,"to_index":2608,"sum":415342,"residue":494},{"from_index":2608,"to_index":752,"sum":431084,"residue":494}],"minimal_cycle":[494],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":494,"start_interval_clock_positions":[752,1680],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-753","shape":"Equilateral triangle","alpha_indices":[753,1681,2609],"clock_positions":[753,1681,2609],"native_values":[280,743,743],"rotation_degrees":97.37068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[280,743,743],"beta":{"interval_sums":[439570,415494,431236],"interval_residues":[646,646,646],"display_cycle":[646,646,646],"intervals":[{"from_index":753,"to_index":1681,"sum":439570,"residue":646},{"from_index":1681,"to_index":2609,"sum":415494,"residue":646},{"from_index":2609,"to_index":753,"sum":431236,"residue":646}],"minimal_cycle":[646],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":646,"start_interval_clock_positions":[753,1681],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-754","shape":"Equilateral triangle","alpha_indices":[754,1682,2610],"clock_positions":[754,1682,2610],"native_values":[249,249,712],"rotation_degrees":97.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,249,712],"beta":{"interval_sums":[440064,415988,430804],"interval_residues":[214,214,214],"display_cycle":[214,214,214],"intervals":[{"from_index":754,"to_index":1682,"sum":440064,"residue":214},{"from_index":1682,"to_index":2610,"sum":415988,"residue":214},{"from_index":2610,"to_index":754,"sum":430804,"residue":214}],"minimal_cycle":[214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":214,"start_interval_clock_positions":[754,1682],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-755","shape":"Equilateral triangle","alpha_indices":[755,1683,2611],"clock_positions":[755,1683,2611],"native_values":[529,66,529],"rotation_degrees":97.62931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[529,66,529],"beta":{"interval_sums":[439784,416634,430524],"interval_residues":[860,860,860],"display_cycle":[860,860,860],"intervals":[{"from_index":755,"to_index":1683,"sum":439784,"residue":860},{"from_index":1683,"to_index":2611,"sum":416634,"residue":860},{"from_index":2611,"to_index":755,"sum":430524,"residue":860}],"minimal_cycle":[860],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":860,"start_interval_clock_positions":[755,1683],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-756","shape":"Equilateral triangle","alpha_indices":[756,1684,2612],"clock_positions":[756,1684,2612],"native_values":[778,315,315],"rotation_degrees":97.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[778,315,315],"beta":{"interval_sums":[439072,416848,430738],"interval_residues":[148,148,148],"display_cycle":[148,148,148],"intervals":[{"from_index":756,"to_index":1684,"sum":439072,"residue":148},{"from_index":1684,"to_index":2612,"sum":416848,"residue":148},{"from_index":2612,"to_index":756,"sum":430738,"residue":148}],"minimal_cycle":[148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[756,1684],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-757","shape":"Equilateral triangle","alpha_indices":[757,1685,2613],"clock_positions":[757,1685,2613],"native_values":[381,381,844],"rotation_degrees":97.88793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,381,844],"beta":{"interval_sums":[439006,416782,430672],"interval_residues":[82,82,82],"display_cycle":[82,82,82],"intervals":[{"from_index":757,"to_index":1685,"sum":439006,"residue":82},{"from_index":1685,"to_index":2613,"sum":416782,"residue":82},{"from_index":2613,"to_index":757,"sum":430672,"residue":82}],"minimal_cycle":[82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[757,1685],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-758","shape":"Equilateral triangle","alpha_indices":[758,1686,2614],"clock_positions":[758,1686,2614],"native_values":[233,696,233],"rotation_degrees":98.01724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,696,233],"beta":{"interval_sums":[439154,416930,430820],"interval_residues":[230,230,230],"display_cycle":[230,230,230],"intervals":[{"from_index":758,"to_index":1686,"sum":439154,"residue":230},{"from_index":1686,"to_index":2614,"sum":416930,"residue":230},{"from_index":2614,"to_index":758,"sum":430820,"residue":230}],"minimal_cycle":[230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[758,1686],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-759","shape":"Equilateral triangle","alpha_indices":[759,1687,2615],"clock_positions":[759,1687,2615],"native_values":[614,151,151],"rotation_degrees":98.14655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[614,151,151],"beta":{"interval_sums":[439236,417012,430902],"interval_residues":[312,312,312],"display_cycle":[312,312,312],"intervals":[{"from_index":759,"to_index":1687,"sum":439236,"residue":312},{"from_index":1687,"to_index":2615,"sum":417012,"residue":312},{"from_index":2615,"to_index":759,"sum":430902,"residue":312}],"minimal_cycle":[312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[759,1687],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-760","shape":"Equilateral triangle","alpha_indices":[760,1688,2616],"clock_positions":[760,1688,2616],"native_values":[847,847,384],"rotation_degrees":98.27586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[847,847,384],"beta":{"interval_sums":[438540,416316,431132],"interval_residues":[542,542,542],"display_cycle":[542,542,542],"intervals":[{"from_index":760,"to_index":1688,"sum":438540,"residue":542},{"from_index":1688,"to_index":2616,"sum":416316,"residue":542},{"from_index":2616,"to_index":760,"sum":431132,"residue":542}],"minimal_cycle":[542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[760,1688],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-761","shape":"Equilateral triangle","alpha_indices":[761,1689,2617],"clock_positions":[761,1689,2617],"native_values":[535,72,535],"rotation_degrees":98.40517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[535,72,535],"beta":{"interval_sums":[438852,416628,431444],"interval_residues":[854,854,854],"display_cycle":[854,854,854],"intervals":[{"from_index":761,"to_index":1689,"sum":438852,"residue":854},{"from_index":1689,"to_index":2617,"sum":416628,"residue":854},{"from_index":2617,"to_index":761,"sum":431444,"residue":854}],"minimal_cycle":[854],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":854,"start_interval_clock_positions":[761,1689],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-762","shape":"Equilateral triangle","alpha_indices":[762,1690,2618],"clock_positions":[762,1690,2618],"native_values":[456,919,919],"rotation_degrees":98.53448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[456,919,919],"beta":{"interval_sums":[438468,416244,431060],"interval_residues":[470,470,470],"display_cycle":[470,470,470],"intervals":[{"from_index":762,"to_index":1690,"sum":438468,"residue":470},{"from_index":1690,"to_index":2618,"sum":416244,"residue":470},{"from_index":2618,"to_index":762,"sum":431060,"residue":470}],"minimal_cycle":[470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[762,1690],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-763","shape":"Equilateral triangle","alpha_indices":[763,1691,2619],"clock_positions":[763,1691,2619],"native_values":[65,65,528],"rotation_degrees":98.66379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,65,528],"beta":{"interval_sums":[439322,417098,430988],"interval_residues":[398,398,398],"display_cycle":[398,398,398],"intervals":[{"from_index":763,"to_index":1691,"sum":439322,"residue":398},{"from_index":1691,"to_index":2619,"sum":417098,"residue":398},{"from_index":2619,"to_index":763,"sum":430988,"residue":398}],"minimal_cycle":[398],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":398,"start_interval_clock_positions":[763,1691],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-764","shape":"Equilateral triangle","alpha_indices":[764,1692,2620],"clock_positions":[764,1692,2620],"native_values":[521,58,521],"rotation_degrees":98.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[521,58,521],"beta":{"interval_sums":[438866,417568,430532],"interval_residues":[868,868,868],"display_cycle":[868,868,868],"intervals":[{"from_index":764,"to_index":1692,"sum":438866,"residue":868},{"from_index":1692,"to_index":2620,"sum":417568,"residue":868},{"from_index":2620,"to_index":764,"sum":430532,"residue":868}],"minimal_cycle":[868],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":868,"start_interval_clock_positions":[764,1692],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-765","shape":"Equilateral triangle","alpha_indices":[765,1693,2621],"clock_positions":[765,1693,2621],"native_values":[586,123,123],"rotation_degrees":98.92241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[586,123,123],"beta":{"interval_sums":[438338,417966,430930],"interval_residues":[340,340,340],"display_cycle":[340,340,340],"intervals":[{"from_index":765,"to_index":1693,"sum":438338,"residue":340},{"from_index":1693,"to_index":2621,"sum":417966,"residue":340},{"from_index":2621,"to_index":765,"sum":430930,"residue":340}],"minimal_cycle":[340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":340,"start_interval_clock_positions":[765,1693],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-766","shape":"Equilateral triangle","alpha_indices":[766,1694,2622],"clock_positions":[766,1694,2622],"native_values":[181,181,644],"rotation_degrees":99.05172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,181,644],"beta":{"interval_sums":[438280,417908,430872],"interval_residues":[282,282,282],"display_cycle":[282,282,282],"intervals":[{"from_index":766,"to_index":1694,"sum":438280,"residue":282},{"from_index":1694,"to_index":2622,"sum":417908,"residue":282},{"from_index":2622,"to_index":766,"sum":430872,"residue":282}],"minimal_cycle":[282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":282,"start_interval_clock_positions":[766,1694],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-767","shape":"Equilateral triangle","alpha_indices":[767,1695,2623],"clock_positions":[767,1695,2623],"native_values":[767,304,767],"rotation_degrees":99.18103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[767,304,767],"beta":{"interval_sums":[437694,418248,430286],"interval_residues":[622,622,622],"display_cycle":[622,622,622],"intervals":[{"from_index":767,"to_index":1695,"sum":437694,"residue":622},{"from_index":1695,"to_index":2623,"sum":418248,"residue":622},{"from_index":2623,"to_index":767,"sum":430286,"residue":622}],"minimal_cycle":[622],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":622,"start_interval_clock_positions":[767,1695],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-768","shape":"Equilateral triangle","alpha_indices":[768,1696,2624],"clock_positions":[768,1696,2624],"native_values":[22,485,485],"rotation_degrees":99.3103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[22,485,485],"beta":{"interval_sums":[437976,418530,430568],"interval_residues":[904,904,904],"display_cycle":[904,904,904],"intervals":[{"from_index":768,"to_index":1696,"sum":437976,"residue":904},{"from_index":1696,"to_index":2624,"sum":418530,"residue":904},{"from_index":2624,"to_index":768,"sum":430568,"residue":904}],"minimal_cycle":[904],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":904,"start_interval_clock_positions":[768,1696],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-769","shape":"Equilateral triangle","alpha_indices":[769,1697,2625],"clock_positions":[769,1697,2625],"native_values":[789,789,326],"rotation_degrees":99.4396551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[789,789,326],"beta":{"interval_sums":[437672,418226,430264],"interval_residues":[600,600,600],"display_cycle":[600,600,600],"intervals":[{"from_index":769,"to_index":1697,"sum":437672,"residue":600},{"from_index":1697,"to_index":2625,"sum":418226,"residue":600},{"from_index":2625,"to_index":769,"sum":430264,"residue":600}],"minimal_cycle":[600],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":600,"start_interval_clock_positions":[769,1697],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-770","shape":"Equilateral triangle","alpha_indices":[770,1698,2626],"clock_positions":[770,1698,2626],"native_values":[811,348,811],"rotation_degrees":99.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[811,348,811],"beta":{"interval_sums":[437650,418204,430242],"interval_residues":[578,578,578],"display_cycle":[578,578,578],"intervals":[{"from_index":770,"to_index":1698,"sum":437650,"residue":578},{"from_index":1698,"to_index":2626,"sum":418204,"residue":578},{"from_index":2626,"to_index":770,"sum":430242,"residue":578}],"minimal_cycle":[578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[770,1698],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-771","shape":"Equilateral triangle","alpha_indices":[771,1699,2627],"clock_positions":[771,1699,2627],"native_values":[674,211,211],"rotation_degrees":99.69827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[674,211,211],"beta":{"interval_sums":[437324,418804,430842],"interval_residues":[252,252,252],"display_cycle":[252,252,252],"intervals":[{"from_index":771,"to_index":1699,"sum":437324,"residue":252},{"from_index":1699,"to_index":2627,"sum":418804,"residue":252},{"from_index":2627,"to_index":771,"sum":430842,"residue":252}],"minimal_cycle":[252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":252,"start_interval_clock_positions":[771,1699],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-772","shape":"Equilateral triangle","alpha_indices":[772,1700,2628],"clock_positions":[772,1700,2628],"native_values":[559,559,96],"rotation_degrees":99.82758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[559,559,96],"beta":{"interval_sums":[436976,418456,431420],"interval_residues":[830,830,830],"display_cycle":[830,830,830],"intervals":[{"from_index":772,"to_index":1700,"sum":436976,"residue":830},{"from_index":1700,"to_index":2628,"sum":418456,"residue":830},{"from_index":2628,"to_index":772,"sum":431420,"residue":830}],"minimal_cycle":[830],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":830,"start_interval_clock_positions":[772,1700],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-773","shape":"Equilateral triangle","alpha_indices":[773,1701,2629],"clock_positions":[773,1701,2629],"native_values":[307,770,307],"rotation_degrees":99.95689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,770,307],"beta":{"interval_sums":[437228,417782,431672],"interval_residues":[156,156,156],"display_cycle":[156,156,156],"intervals":[{"from_index":773,"to_index":1701,"sum":437228,"residue":156},{"from_index":1701,"to_index":2629,"sum":417782,"residue":156},{"from_index":2629,"to_index":773,"sum":431672,"residue":156}],"minimal_cycle":[156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[773,1701],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-774","shape":"Equilateral triangle","alpha_indices":[774,1702,2630],"clock_positions":[774,1702,2630],"native_values":[866,403,403],"rotation_degrees":100.08620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[866,403,403],"beta":{"interval_sums":[437132,417686,431576],"interval_residues":[60,60,60],"display_cycle":[60,60,60],"intervals":[{"from_index":774,"to_index":1702,"sum":437132,"residue":60},{"from_index":1702,"to_index":2630,"sum":417686,"residue":60},{"from_index":2630,"to_index":774,"sum":431576,"residue":60}],"minimal_cycle":[60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[774,1702],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-775","shape":"Equilateral triangle","alpha_indices":[775,1703,2631],"clock_positions":[775,1703,2631],"native_values":[247,247,710],"rotation_degrees":100.21551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,247,710],"beta":{"interval_sums":[437288,417842,431732],"interval_residues":[216,216,216],"display_cycle":[216,216,216],"intervals":[{"from_index":775,"to_index":1703,"sum":437288,"residue":216},{"from_index":1703,"to_index":2631,"sum":417842,"residue":216},{"from_index":2631,"to_index":775,"sum":431732,"residue":216}],"minimal_cycle":[216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[775,1703],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-776","shape":"Equilateral triangle","alpha_indices":[776,1704,2632],"clock_positions":[776,1704,2632],"native_values":[187,650,187],"rotation_degrees":100.34482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[187,650,187],"beta":{"interval_sums":[437348,417902,431792],"interval_residues":[276,276,276],"display_cycle":[276,276,276],"intervals":[{"from_index":776,"to_index":1704,"sum":437348,"residue":276},{"from_index":1704,"to_index":2632,"sum":417902,"residue":276},{"from_index":2632,"to_index":776,"sum":431792,"residue":276}],"minimal_cycle":[276],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":276,"start_interval_clock_positions":[776,1704],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-777","shape":"Equilateral triangle","alpha_indices":[777,1705,2633],"clock_positions":[777,1705,2633],"native_values":[434,897,897],"rotation_degrees":100.47413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[434,897,897],"beta":{"interval_sums":[437564,417192,431082],"interval_residues":[492,492,492],"display_cycle":[492,492,492],"intervals":[{"from_index":777,"to_index":1705,"sum":437564,"residue":492},{"from_index":1705,"to_index":2633,"sum":417192,"residue":492},{"from_index":2633,"to_index":777,"sum":431082,"residue":492}],"minimal_cycle":[492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":492,"start_interval_clock_positions":[777,1705],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-778","shape":"Equilateral triangle","alpha_indices":[778,1706,2634],"clock_positions":[778,1706,2634],"native_values":[621,621,158],"rotation_degrees":100.60344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[621,621,158],"beta":{"interval_sums":[437840,417468,431358],"interval_residues":[768,768,768],"display_cycle":[768,768,768],"intervals":[{"from_index":778,"to_index":1706,"sum":437840,"residue":768},{"from_index":1706,"to_index":2634,"sum":417468,"residue":768},{"from_index":2634,"to_index":778,"sum":431358,"residue":768}],"minimal_cycle":[768],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":768,"start_interval_clock_positions":[778,1706],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-779","shape":"Equilateral triangle","alpha_indices":[779,1707,2635],"clock_positions":[779,1707,2635],"native_values":[129,592,129],"rotation_degrees":100.73275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[129,592,129],"beta":{"interval_sums":[438332,417034,431850],"interval_residues":[334,334,334],"display_cycle":[334,334,334],"intervals":[{"from_index":779,"to_index":1707,"sum":438332,"residue":334},{"from_index":1707,"to_index":2635,"sum":417034,"residue":334},{"from_index":2635,"to_index":779,"sum":431850,"residue":334}],"minimal_cycle":[334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[779,1707],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-780","shape":"Equilateral triangle","alpha_indices":[780,1708,2636],"clock_positions":[780,1708,2636],"native_values":[750,287,287],"rotation_degrees":100.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[750,287,287],"beta":{"interval_sums":[438174,416876,431692],"interval_residues":[176,176,176],"display_cycle":[176,176,176],"intervals":[{"from_index":780,"to_index":1708,"sum":438174,"residue":176},{"from_index":1708,"to_index":2636,"sum":416876,"residue":176},{"from_index":2636,"to_index":780,"sum":431692,"residue":176}],"minimal_cycle":[176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[780,1708],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-781","shape":"Equilateral triangle","alpha_indices":[781,1709,2637],"clock_positions":[781,1709,2637],"native_values":[879,879,416],"rotation_degrees":100.99137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[879,879,416],"beta":{"interval_sums":[437582,416284,432026],"interval_residues":[510,510,510],"display_cycle":[510,510,510],"intervals":[{"from_index":781,"to_index":1709,"sum":437582,"residue":510},{"from_index":1709,"to_index":2637,"sum":416284,"residue":510},{"from_index":2637,"to_index":781,"sum":432026,"residue":510}],"minimal_cycle":[510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[781,1709],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-782","shape":"Equilateral triangle","alpha_indices":[782,1710,2638],"clock_positions":[782,1710,2638],"native_values":[703,240,703],"rotation_degrees":101.12068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[703,240,703],"beta":{"interval_sums":[437758,416460,432202],"interval_residues":[686,686,686],"display_cycle":[686,686,686],"intervals":[{"from_index":782,"to_index":1710,"sum":437758,"residue":686},{"from_index":1710,"to_index":2638,"sum":416460,"residue":686},{"from_index":2638,"to_index":782,"sum":432202,"residue":686}],"minimal_cycle":[686],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":686,"start_interval_clock_positions":[782,1710],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-783","shape":"Equilateral triangle","alpha_indices":[783,1711,2639],"clock_positions":[783,1711,2639],"native_values":[656,193,193],"rotation_degrees":101.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[656,193,193],"beta":{"interval_sums":[437342,416970,432712],"interval_residues":[270,270,270],"display_cycle":[270,270,270],"intervals":[{"from_index":783,"to_index":1711,"sum":437342,"residue":270},{"from_index":1711,"to_index":2639,"sum":416970,"residue":270},{"from_index":2639,"to_index":783,"sum":432712,"residue":270}],"minimal_cycle":[270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":270,"start_interval_clock_positions":[783,1711],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-784","shape":"Equilateral triangle","alpha_indices":[784,1712,2640],"clock_positions":[784,1712,2640],"native_values":[433,433,896],"rotation_degrees":101.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,433,896],"beta":{"interval_sums":[437102,416730,432472],"interval_residues":[30,30,30],"display_cycle":[30,30,30],"intervals":[{"from_index":784,"to_index":1712,"sum":437102,"residue":30},{"from_index":1712,"to_index":2640,"sum":416730,"residue":30},{"from_index":2640,"to_index":784,"sum":432472,"residue":30}],"minimal_cycle":[30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[784,1712],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-785","shape":"Equilateral triangle","alpha_indices":[785,1713,2641],"clock_positions":[785,1713,2641],"native_values":[163,626,163],"rotation_degrees":101.50862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[163,626,163],"beta":{"interval_sums":[437372,417000,432742],"interval_residues":[300,300,300],"display_cycle":[300,300,300],"intervals":[{"from_index":785,"to_index":1713,"sum":437372,"residue":300},{"from_index":1713,"to_index":2641,"sum":417000,"residue":300},{"from_index":2641,"to_index":785,"sum":432742,"residue":300}],"minimal_cycle":[300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":300,"start_interval_clock_positions":[785,1713],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-786","shape":"Equilateral triangle","alpha_indices":[786,1714,2642],"clock_positions":[786,1714,2642],"native_values":[596,133,133],"rotation_degrees":101.63793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[596,133,133],"beta":{"interval_sums":[437402,417030,432772],"interval_residues":[330,330,330],"display_cycle":[330,330,330],"intervals":[{"from_index":786,"to_index":1714,"sum":437402,"residue":330},{"from_index":1714,"to_index":2642,"sum":417030,"residue":330},{"from_index":2642,"to_index":786,"sum":432772,"residue":330}],"minimal_cycle":[330],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[786,1714],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-787","shape":"Equilateral triangle","alpha_indices":[787,1715,2643],"clock_positions":[787,1715,2643],"native_values":[759,759,296],"rotation_degrees":101.76724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[759,759,296],"beta":{"interval_sums":[436776,416404,433072],"interval_residues":[630,630,630],"display_cycle":[630,630,630],"intervals":[{"from_index":787,"to_index":1715,"sum":436776,"residue":630},{"from_index":1715,"to_index":2643,"sum":416404,"residue":630},{"from_index":2643,"to_index":787,"sum":433072,"residue":630}],"minimal_cycle":[630],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":630,"start_interval_clock_positions":[787,1715],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-788","shape":"Equilateral triangle","alpha_indices":[788,1716,2644],"clock_positions":[788,1716,2644],"native_values":[429,892,429],"rotation_degrees":101.89655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,892,429],"beta":{"interval_sums":[437106,415808,433402],"interval_residues":[34,34,34],"display_cycle":[34,34,34],"intervals":[{"from_index":788,"to_index":1716,"sum":437106,"residue":34},{"from_index":1716,"to_index":2644,"sum":415808,"residue":34},{"from_index":2644,"to_index":788,"sum":433402,"residue":34}],"minimal_cycle":[34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[788,1716],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-789","shape":"Equilateral triangle","alpha_indices":[789,1717,2645],"clock_positions":[789,1717,2645],"native_values":[262,725,725],"rotation_degrees":102.02586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[262,725,725],"beta":{"interval_sums":[437736,415512,433106],"interval_residues":[664,664,664],"display_cycle":[664,664,664],"intervals":[{"from_index":789,"to_index":1717,"sum":437736,"residue":664},{"from_index":1717,"to_index":2645,"sum":415512,"residue":664},{"from_index":2645,"to_index":789,"sum":433106,"residue":664}],"minimal_cycle":[664],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":664,"start_interval_clock_positions":[789,1717],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-790","shape":"Equilateral triangle","alpha_indices":[790,1718,2646],"clock_positions":[790,1718,2646],"native_values":[691,691,228],"rotation_degrees":102.15517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,691,228],"beta":{"interval_sums":[437770,415546,433140],"interval_residues":[698,698,698],"display_cycle":[698,698,698],"intervals":[{"from_index":790,"to_index":1718,"sum":437770,"residue":698},{"from_index":1718,"to_index":2646,"sum":415546,"residue":698},{"from_index":2646,"to_index":790,"sum":433140,"residue":698}],"minimal_cycle":[698],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":698,"start_interval_clock_positions":[790,1718],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-791","shape":"Equilateral triangle","alpha_indices":[791,1719,2647],"clock_positions":[791,1719,2647],"native_values":[27,490,27],"rotation_degrees":102.28448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,490,27],"beta":{"interval_sums":[438434,415284,433804],"interval_residues":[436,436,436],"display_cycle":[436,436,436],"intervals":[{"from_index":791,"to_index":1719,"sum":438434,"residue":436},{"from_index":1719,"to_index":2647,"sum":415284,"residue":436},{"from_index":2647,"to_index":791,"sum":433804,"residue":436}],"minimal_cycle":[436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[791,1719],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-792","shape":"Equilateral triangle","alpha_indices":[792,1720,2648],"clock_positions":[792,1720,2648],"native_values":[718,255,255],"rotation_degrees":102.41379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[718,255,255],"beta":{"interval_sums":[438206,415056,433576],"interval_residues":[208,208,208],"display_cycle":[208,208,208],"intervals":[{"from_index":792,"to_index":1720,"sum":438206,"residue":208},{"from_index":1720,"to_index":2648,"sum":415056,"residue":208},{"from_index":2648,"to_index":792,"sum":433576,"residue":208}],"minimal_cycle":[208],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[792,1720],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-793","shape":"Equilateral triangle","alpha_indices":[793,1721,2649],"clock_positions":[793,1721,2649],"native_values":[745,745,282],"rotation_degrees":102.54310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[745,745,282],"beta":{"interval_sums":[437716,414566,434012],"interval_residues":[644,644,644],"display_cycle":[644,644,644],"intervals":[{"from_index":793,"to_index":1721,"sum":437716,"residue":644},{"from_index":1721,"to_index":2649,"sum":414566,"residue":644},{"from_index":2649,"to_index":793,"sum":434012,"residue":644}],"minimal_cycle":[644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[793,1721],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-794","shape":"Equilateral triangle","alpha_indices":[794,1722,2650],"clock_positions":[794,1722,2650],"native_values":[537,74,537],"rotation_degrees":102.67241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[537,74,537],"beta":{"interval_sums":[437924,414774,434220],"interval_residues":[852,852,852],"display_cycle":[852,852,852],"intervals":[{"from_index":794,"to_index":1722,"sum":437924,"residue":852},{"from_index":1722,"to_index":2650,"sum":414774,"residue":852},{"from_index":2650,"to_index":794,"sum":434220,"residue":852}],"minimal_cycle":[852],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":852,"start_interval_clock_positions":[794,1722],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-795","shape":"Equilateral triangle","alpha_indices":[795,1723,2651],"clock_positions":[795,1723,2651],"native_values":[356,819,819],"rotation_degrees":102.80172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[356,819,819],"beta":{"interval_sums":[437642,414492,433938],"interval_residues":[570,570,570],"display_cycle":[570,570,570],"intervals":[{"from_index":795,"to_index":1723,"sum":437642,"residue":570},{"from_index":1723,"to_index":2651,"sum":414492,"residue":570},{"from_index":2651,"to_index":795,"sum":433938,"residue":570}],"minimal_cycle":[570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[795,1723],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-796","shape":"Equilateral triangle","alpha_indices":[796,1724,2652],"clock_positions":[796,1724,2652],"native_values":[893,893,430],"rotation_degrees":102.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[893,893,430],"beta":{"interval_sums":[437568,414418,433864],"interval_residues":[496,496,496],"display_cycle":[496,496,496],"intervals":[{"from_index":796,"to_index":1724,"sum":437568,"residue":496},{"from_index":1724,"to_index":2652,"sum":414418,"residue":496},{"from_index":2652,"to_index":796,"sum":433864,"residue":496}],"minimal_cycle":[496],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":496,"start_interval_clock_positions":[796,1724],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-797","shape":"Equilateral triangle","alpha_indices":[797,1725,2653],"clock_positions":[797,1725,2653],"native_values":[323,786,323],"rotation_degrees":103.0603448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,786,323],"beta":{"interval_sums":[438138,414062,434434],"interval_residues":[140,140,140],"display_cycle":[140,140,140],"intervals":[{"from_index":797,"to_index":1725,"sum":438138,"residue":140},{"from_index":1725,"to_index":2653,"sum":414062,"residue":140},{"from_index":2653,"to_index":797,"sum":434434,"residue":140}],"minimal_cycle":[140],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":140,"start_interval_clock_positions":[797,1725],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-798","shape":"Equilateral triangle","alpha_indices":[798,1726,2654],"clock_positions":[798,1726,2654],"native_values":[290,753,753],"rotation_degrees":103.1896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[290,753,753],"beta":{"interval_sums":[438634,413632,434004],"interval_residues":[636,636,636],"display_cycle":[636,636,636],"intervals":[{"from_index":798,"to_index":1726,"sum":438634,"residue":636},{"from_index":1726,"to_index":2654,"sum":413632,"residue":636},{"from_index":2654,"to_index":798,"sum":434004,"residue":636}],"minimal_cycle":[636],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":636,"start_interval_clock_positions":[798,1726],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-799","shape":"Equilateral triangle","alpha_indices":[799,1727,2655],"clock_positions":[799,1727,2655],"native_values":[613,613,150],"rotation_degrees":103.31896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[613,613,150],"beta":{"interval_sums":[438774,413772,434144],"interval_residues":[776,776,776],"display_cycle":[776,776,776],"intervals":[{"from_index":799,"to_index":1727,"sum":438774,"residue":776},{"from_index":1727,"to_index":2655,"sum":413772,"residue":776},{"from_index":2655,"to_index":799,"sum":434144,"residue":776}],"minimal_cycle":[776],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":776,"start_interval_clock_positions":[799,1727],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-800","shape":"Equilateral triangle","alpha_indices":[800,1728,2656],"clock_positions":[800,1728,2656],"native_values":[903,440,903],"rotation_degrees":103.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[903,440,903],"beta":{"interval_sums":[438484,413482,433854],"interval_residues":[486,486,486],"display_cycle":[486,486,486],"intervals":[{"from_index":800,"to_index":1728,"sum":438484,"residue":486},{"from_index":1728,"to_index":2656,"sum":413482,"residue":486},{"from_index":2656,"to_index":800,"sum":433854,"residue":486}],"minimal_cycle":[486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":486,"start_interval_clock_positions":[800,1728],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-801","shape":"Equilateral triangle","alpha_indices":[801,1729,2657],"clock_positions":[801,1729,2657],"native_values":[590,127,127],"rotation_degrees":103.57758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[590,127,127],"beta":{"interval_sums":[438334,414258,434630],"interval_residues":[336,336,336],"display_cycle":[336,336,336],"intervals":[{"from_index":801,"to_index":1729,"sum":438334,"residue":336},{"from_index":1729,"to_index":2657,"sum":414258,"residue":336},{"from_index":2657,"to_index":801,"sum":434630,"residue":336}],"minimal_cycle":[336],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[801,1729],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-802","shape":"Equilateral triangle","alpha_indices":[802,1730,2658],"clock_positions":[802,1730,2658],"native_values":[567,567,104],"rotation_degrees":103.70689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,567,104],"beta":{"interval_sums":[437894,413818,435116],"interval_residues":[822,822,822],"display_cycle":[822,822,822],"intervals":[{"from_index":802,"to_index":1730,"sum":437894,"residue":822},{"from_index":1730,"to_index":2658,"sum":413818,"residue":822},{"from_index":2658,"to_index":802,"sum":435116,"residue":822}],"minimal_cycle":[822],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":822,"start_interval_clock_positions":[802,1730],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-803","shape":"Equilateral triangle","alpha_indices":[803,1731,2659],"clock_positions":[803,1731,2659],"native_values":[231,694,231],"rotation_degrees":103.83620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[231,694,231],"beta":{"interval_sums":[438230,413228,435452],"interval_residues":[232,232,232],"display_cycle":[232,232,232],"intervals":[{"from_index":803,"to_index":1731,"sum":438230,"residue":232},{"from_index":1731,"to_index":2659,"sum":413228,"residue":232},{"from_index":2659,"to_index":803,"sum":435452,"residue":232}],"minimal_cycle":[232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[803,1731],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-804","shape":"Equilateral triangle","alpha_indices":[804,1732,2660],"clock_positions":[804,1732,2660],"native_values":[798,335,335],"rotation_degrees":103.96551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[798,335,335],"beta":{"interval_sums":[438126,413124,435348],"interval_residues":[128,128,128],"display_cycle":[128,128,128],"intervals":[{"from_index":804,"to_index":1732,"sum":438126,"residue":128},{"from_index":1732,"to_index":2660,"sum":413124,"residue":128},{"from_index":2660,"to_index":804,"sum":435348,"residue":128}],"minimal_cycle":[128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":128,"start_interval_clock_positions":[804,1732],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-805","shape":"Equilateral triangle","alpha_indices":[805,1733,2661],"clock_positions":[805,1733,2661],"native_values":[103,103,566],"rotation_degrees":104.09482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[103,103,566],"beta":{"interval_sums":[438358,413356,435580],"interval_residues":[360,360,360],"display_cycle":[360,360,360],"intervals":[{"from_index":805,"to_index":1733,"sum":438358,"residue":360},{"from_index":1733,"to_index":2661,"sum":413356,"residue":360},{"from_index":2661,"to_index":805,"sum":435580,"residue":360}],"minimal_cycle":[360],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":360,"start_interval_clock_positions":[805,1733],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-806","shape":"Equilateral triangle","alpha_indices":[806,1734,2662],"clock_positions":[806,1734,2662],"native_values":[901,438,901],"rotation_degrees":104.22413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[901,438,901],"beta":{"interval_sums":[437560,413484,434782],"interval_residues":[488,488,488],"display_cycle":[488,488,488],"intervals":[{"from_index":806,"to_index":1734,"sum":437560,"residue":488},{"from_index":1734,"to_index":2662,"sum":413484,"residue":488},{"from_index":2662,"to_index":806,"sum":434782,"residue":488}],"minimal_cycle":[488],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":488,"start_interval_clock_positions":[806,1734],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-807","shape":"Equilateral triangle","alpha_indices":[807,1735,2663],"clock_positions":[807,1735,2663],"native_values":[78,541,541],"rotation_degrees":104.35344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[78,541,541],"beta":{"interval_sums":[437920,413844,435142],"interval_residues":[848,848,848],"display_cycle":[848,848,848],"intervals":[{"from_index":807,"to_index":1735,"sum":437920,"residue":848},{"from_index":1735,"to_index":2663,"sum":413844,"residue":848},{"from_index":2663,"to_index":807,"sum":435142,"residue":848}],"minimal_cycle":[848],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":848,"start_interval_clock_positions":[807,1735],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-808","shape":"Equilateral triangle","alpha_indices":[808,1736,2664],"clock_positions":[808,1736,2664],"native_values":[53,53,516],"rotation_degrees":104.48275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,53,516],"beta":{"interval_sums":[438408,414332,434704],"interval_residues":[410,410,410],"display_cycle":[410,410,410],"intervals":[{"from_index":808,"to_index":1736,"sum":438408,"residue":410},{"from_index":1736,"to_index":2664,"sum":414332,"residue":410},{"from_index":2664,"to_index":808,"sum":434704,"residue":410}],"minimal_cycle":[410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[808,1736],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-809","shape":"Equilateral triangle","alpha_indices":[809,1737,2665],"clock_positions":[809,1737,2665],"native_values":[131,594,131],"rotation_degrees":104.61206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,594,131],"beta":{"interval_sums":[438330,414254,434626],"interval_residues":[332,332,332],"display_cycle":[332,332,332],"intervals":[{"from_index":809,"to_index":1737,"sum":438330,"residue":332},{"from_index":1737,"to_index":2665,"sum":414254,"residue":332},{"from_index":2665,"to_index":809,"sum":434626,"residue":332}],"minimal_cycle":[332],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[809,1737],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-810","shape":"Equilateral triangle","alpha_indices":[810,1738,2666],"clock_positions":[810,1738,2666],"native_values":[184,647,647],"rotation_degrees":104.74137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[184,647,647],"beta":{"interval_sums":[438740,413738,434110],"interval_residues":[742,742,742],"display_cycle":[742,742,742],"intervals":[{"from_index":810,"to_index":1738,"sum":438740,"residue":742},{"from_index":1738,"to_index":2666,"sum":413738,"residue":742},{"from_index":2666,"to_index":810,"sum":434110,"residue":742}],"minimal_cycle":[742],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":742,"start_interval_clock_positions":[810,1738],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-811","shape":"Equilateral triangle","alpha_indices":[811,1739,2667],"clock_positions":[811,1739,2667],"native_values":[315,315,778],"rotation_degrees":104.87068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[315,315,778],"beta":{"interval_sums":[439072,414070,433516],"interval_residues":[148,148,148],"display_cycle":[148,148,148],"intervals":[{"from_index":811,"to_index":1739,"sum":439072,"residue":148},{"from_index":1739,"to_index":2667,"sum":414070,"residue":148},{"from_index":2667,"to_index":811,"sum":433516,"residue":148}],"minimal_cycle":[148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[811,1739],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-812","shape":"Equilateral triangle","alpha_indices":[812,1740,2668],"clock_positions":[812,1740,2668],"native_values":[499,36,499],"rotation_degrees":105.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[499,36,499],"beta":{"interval_sums":[438888,414812,433332],"interval_residues":[890,890,890],"display_cycle":[890,890,890],"intervals":[{"from_index":812,"to_index":1740,"sum":438888,"residue":890},{"from_index":1740,"to_index":2668,"sum":414812,"residue":890},{"from_index":2668,"to_index":812,"sum":433332,"residue":890}],"minimal_cycle":[890],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":890,"start_interval_clock_positions":[812,1740],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-813","shape":"Equilateral triangle","alpha_indices":[813,1741,2669],"clock_positions":[813,1741,2669],"native_values":[814,351,351],"rotation_degrees":105.12931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[814,351,351],"beta":{"interval_sums":[438110,414960,433480],"interval_residues":[112,112,112],"display_cycle":[112,112,112],"intervals":[{"from_index":813,"to_index":1741,"sum":438110,"residue":112},{"from_index":1741,"to_index":2669,"sum":414960,"residue":112},{"from_index":2669,"to_index":813,"sum":433480,"residue":112}],"minimal_cycle":[112],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":112,"start_interval_clock_positions":[813,1741],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-814","shape":"Equilateral triangle","alpha_indices":[814,1742,2670],"clock_positions":[814,1742,2670],"native_values":[387,387,850],"rotation_degrees":105.25862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[387,387,850],"beta":{"interval_sums":[438074,414924,433444],"interval_residues":[76,76,76],"display_cycle":[76,76,76],"intervals":[{"from_index":814,"to_index":1742,"sum":438074,"residue":76},{"from_index":1742,"to_index":2670,"sum":414924,"residue":76},{"from_index":2670,"to_index":814,"sum":433444,"residue":76}],"minimal_cycle":[76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[814,1742],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-815","shape":"Equilateral triangle","alpha_indices":[815,1743,2671],"clock_positions":[815,1743,2671],"native_values":[275,738,275],"rotation_degrees":105.38793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[275,738,275],"beta":{"interval_sums":[438186,415036,433556],"interval_residues":[188,188,188],"display_cycle":[188,188,188],"intervals":[{"from_index":815,"to_index":1743,"sum":438186,"residue":188},{"from_index":1743,"to_index":2671,"sum":415036,"residue":188},{"from_index":2671,"to_index":815,"sum":433556,"residue":188}],"minimal_cycle":[188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[815,1743],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-816","shape":"Equilateral triangle","alpha_indices":[816,1744,2672],"clock_positions":[816,1744,2672],"native_values":[662,199,199],"rotation_degrees":105.51724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[662,199,199],"beta":{"interval_sums":[438262,415112,433632],"interval_residues":[264,264,264],"display_cycle":[264,264,264],"intervals":[{"from_index":816,"to_index":1744,"sum":438262,"residue":264},{"from_index":1744,"to_index":2672,"sum":415112,"residue":264},{"from_index":2672,"to_index":816,"sum":433632,"residue":264}],"minimal_cycle":[264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":264,"start_interval_clock_positions":[816,1744],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-817","shape":"Equilateral triangle","alpha_indices":[817,1745,2673],"clock_positions":[817,1745,2673],"native_values":[11,11,474],"rotation_degrees":105.64655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[11,11,474],"beta":{"interval_sums":[438450,415300,433820],"interval_residues":[452,452,452],"display_cycle":[452,452,452],"intervals":[{"from_index":817,"to_index":1745,"sum":438450,"residue":452},{"from_index":1745,"to_index":2673,"sum":415300,"residue":452},{"from_index":2673,"to_index":817,"sum":433820,"residue":452}],"minimal_cycle":[452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[817,1745],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-818","shape":"Equilateral triangle","alpha_indices":[818,1746,2674],"clock_positions":[818,1746,2674],"native_values":[673,210,673],"rotation_degrees":105.77586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[673,210,673],"beta":{"interval_sums":[437788,415564,433158],"interval_residues":[716,716,716],"display_cycle":[716,716,716],"intervals":[{"from_index":818,"to_index":1746,"sum":437788,"residue":716},{"from_index":1746,"to_index":2674,"sum":415564,"residue":716},{"from_index":2674,"to_index":818,"sum":433158,"residue":716}],"minimal_cycle":[716],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":716,"start_interval_clock_positions":[818,1746],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-819","shape":"Equilateral triangle","alpha_indices":[819,1747,2675],"clock_positions":[819,1747,2675],"native_values":[684,221,221],"rotation_degrees":105.90517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[684,221,221],"beta":{"interval_sums":[437314,416016,433610],"interval_residues":[242,242,242],"display_cycle":[242,242,242],"intervals":[{"from_index":819,"to_index":1747,"sum":437314,"residue":242},{"from_index":1747,"to_index":2675,"sum":416016,"residue":242},{"from_index":2675,"to_index":819,"sum":433610,"residue":242}],"minimal_cycle":[242],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":242,"start_interval_clock_positions":[819,1747],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-820","shape":"Equilateral triangle","alpha_indices":[820,1748,2676],"clock_positions":[820,1748,2676],"native_values":[431,431,894],"rotation_degrees":106.03448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[431,431,894],"beta":{"interval_sums":[437104,415806,433400],"interval_residues":[32,32,32],"display_cycle":[32,32,32],"intervals":[{"from_index":820,"to_index":1748,"sum":437104,"residue":32},{"from_index":1748,"to_index":2676,"sum":415806,"residue":32},{"from_index":2676,"to_index":820,"sum":433400,"residue":32}],"minimal_cycle":[32],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":32,"start_interval_clock_positions":[820,1748],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-821","shape":"Equilateral triangle","alpha_indices":[821,1749,2677],"clock_positions":[821,1749,2677],"native_values":[189,652,189],"rotation_degrees":106.16379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[189,652,189],"beta":{"interval_sums":[437346,416048,433642],"interval_residues":[274,274,274],"display_cycle":[274,274,274],"intervals":[{"from_index":821,"to_index":1749,"sum":437346,"residue":274},{"from_index":1749,"to_index":2677,"sum":416048,"residue":274},{"from_index":2677,"to_index":821,"sum":433642,"residue":274}],"minimal_cycle":[274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":274,"start_interval_clock_positions":[821,1749],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-822","shape":"Equilateral triangle","alpha_indices":[822,1750,2678],"clock_positions":[822,1750,2678],"native_values":[620,157,157],"rotation_degrees":106.29310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[620,157,157],"beta":{"interval_sums":[437378,416080,433674],"interval_residues":[306,306,306],"display_cycle":[306,306,306],"intervals":[{"from_index":822,"to_index":1750,"sum":437378,"residue":306},{"from_index":1750,"to_index":2678,"sum":416080,"residue":306},{"from_index":2678,"to_index":822,"sum":433674,"residue":306}],"minimal_cycle":[306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[822,1750],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-823","shape":"Equilateral triangle","alpha_indices":[823,1751,2679],"clock_positions":[823,1751,2679],"native_values":[809,809,346],"rotation_degrees":106.42241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[809,809,346],"beta":{"interval_sums":[436726,415428,433948],"interval_residues":[580,580,580],"display_cycle":[580,580,580],"intervals":[{"from_index":823,"to_index":1751,"sum":436726,"residue":580},{"from_index":1751,"to_index":2679,"sum":415428,"residue":580},{"from_index":2679,"to_index":823,"sum":433948,"residue":580}],"minimal_cycle":[580],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":580,"start_interval_clock_positions":[823,1751],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-824","shape":"Equilateral triangle","alpha_indices":[824,1752,2680],"clock_positions":[824,1752,2680],"native_values":[503,40,503],"rotation_degrees":106.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[503,40,503],"beta":{"interval_sums":[437032,415734,434254],"interval_residues":[886,886,886],"display_cycle":[886,886,886],"intervals":[{"from_index":824,"to_index":1752,"sum":437032,"residue":886},{"from_index":1752,"to_index":2680,"sum":415734,"residue":886},{"from_index":2680,"to_index":824,"sum":434254,"residue":886}],"minimal_cycle":[886],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":886,"start_interval_clock_positions":[824,1752],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-825","shape":"Equilateral triangle","alpha_indices":[825,1753,2681],"clock_positions":[825,1753,2681],"native_values":[386,849,849],"rotation_degrees":106.68103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[386,849,849],"beta":{"interval_sums":[436686,415388,433908],"interval_residues":[540,540,540],"display_cycle":[540,540,540],"intervals":[{"from_index":825,"to_index":1753,"sum":436686,"residue":540},{"from_index":1753,"to_index":2681,"sum":415388,"residue":540},{"from_index":2681,"to_index":825,"sum":433908,"residue":540}],"minimal_cycle":[540],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":540,"start_interval_clock_positions":[825,1753],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-826","shape":"Equilateral triangle","alpha_indices":[826,1754,2682],"clock_positions":[826,1754,2682],"native_values":[889,889,426],"rotation_degrees":106.8103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[889,889,426],"beta":{"interval_sums":[436646,415348,433868],"interval_residues":[500,500,500],"display_cycle":[500,500,500],"intervals":[{"from_index":826,"to_index":1754,"sum":436646,"residue":500},{"from_index":1754,"to_index":2682,"sum":415348,"residue":500},{"from_index":2682,"to_index":826,"sum":433868,"residue":500}],"minimal_cycle":[500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[826,1754],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-827","shape":"Equilateral triangle","alpha_indices":[827,1755,2683],"clock_positions":[827,1755,2683],"native_values":[349,812,349],"rotation_degrees":106.9396551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,812,349],"beta":{"interval_sums":[437186,414962,434408],"interval_residues":[114,114,114],"display_cycle":[114,114,114],"intervals":[{"from_index":827,"to_index":1755,"sum":437186,"residue":114},{"from_index":1755,"to_index":2683,"sum":414962,"residue":114},{"from_index":2683,"to_index":827,"sum":434408,"residue":114}],"minimal_cycle":[114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[827,1755],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-828","shape":"Equilateral triangle","alpha_indices":[828,1756,2684],"clock_positions":[828,1756,2684],"native_values":[312,775,775],"rotation_degrees":107.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[312,775,775],"beta":{"interval_sums":[437686,414536,433982],"interval_residues":[614,614,614],"display_cycle":[614,614,614],"intervals":[{"from_index":828,"to_index":1756,"sum":437686,"residue":614},{"from_index":1756,"to_index":2684,"sum":414536,"residue":614},{"from_index":2684,"to_index":828,"sum":433982,"residue":614}],"minimal_cycle":[614],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":614,"start_interval_clock_positions":[828,1756],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-829","shape":"Equilateral triangle","alpha_indices":[829,1757,2685],"clock_positions":[829,1757,2685],"native_values":[661,661,198],"rotation_degrees":107.19827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[661,661,198],"beta":{"interval_sums":[437800,414650,434096],"interval_residues":[728,728,728],"display_cycle":[728,728,728],"intervals":[{"from_index":829,"to_index":1757,"sum":437800,"residue":728},{"from_index":1757,"to_index":2685,"sum":414650,"residue":728},{"from_index":2685,"to_index":829,"sum":434096,"residue":728}],"minimal_cycle":[728],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":728,"start_interval_clock_positions":[829,1757],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-830","shape":"Equilateral triangle","alpha_indices":[830,1758,2686],"clock_positions":[830,1758,2686],"native_values":[47,510,47],"rotation_degrees":107.32758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,510,47],"beta":{"interval_sums":[438414,414338,434710],"interval_residues":[416,416,416],"display_cycle":[416,416,416],"intervals":[{"from_index":830,"to_index":1758,"sum":438414,"residue":416},{"from_index":1758,"to_index":2686,"sum":414338,"residue":416},{"from_index":2686,"to_index":830,"sum":434710,"residue":416}],"minimal_cycle":[416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[830,1758],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-831","shape":"Equilateral triangle","alpha_indices":[831,1759,2687],"clock_positions":[831,1759,2687],"native_values":[708,245,245],"rotation_degrees":107.45689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[708,245,245],"beta":{"interval_sums":[438216,414140,434512],"interval_residues":[218,218,218],"display_cycle":[218,218,218],"intervals":[{"from_index":831,"to_index":1759,"sum":438216,"residue":218},{"from_index":1759,"to_index":2687,"sum":414140,"residue":218},{"from_index":2687,"to_index":831,"sum":434512,"residue":218}],"minimal_cycle":[218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":218,"start_interval_clock_positions":[831,1759],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-832","shape":"Equilateral triangle","alpha_indices":[832,1760,2688],"clock_positions":[832,1760,2688],"native_values":[755,755,292],"rotation_degrees":107.58620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[755,755,292],"beta":{"interval_sums":[437706,413630,434928],"interval_residues":[634,634,634],"display_cycle":[634,634,634],"intervals":[{"from_index":832,"to_index":1760,"sum":437706,"residue":634},{"from_index":1760,"to_index":2688,"sum":413630,"residue":634},{"from_index":2688,"to_index":832,"sum":434928,"residue":634}],"minimal_cycle":[634],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":634,"start_interval_clock_positions":[832,1760],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-833","shape":"Equilateral triangle","alpha_indices":[833,1761,2689],"clock_positions":[833,1761,2689],"native_values":[537,74,537],"rotation_degrees":107.71551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[537,74,537],"beta":{"interval_sums":[437924,413848,435146],"interval_residues":[852,852,852],"display_cycle":[852,852,852],"intervals":[{"from_index":833,"to_index":1761,"sum":437924,"residue":852},{"from_index":1761,"to_index":2689,"sum":413848,"residue":852},{"from_index":2689,"to_index":833,"sum":435146,"residue":852}],"minimal_cycle":[852],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":852,"start_interval_clock_positions":[833,1761],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-834","shape":"Equilateral triangle","alpha_indices":[834,1762,2690],"clock_positions":[834,1762,2690],"native_values":[366,829,829],"rotation_degrees":107.84482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[366,829,829],"beta":{"interval_sums":[437632,413556,434854],"interval_residues":[560,560,560],"display_cycle":[560,560,560],"intervals":[{"from_index":834,"to_index":1762,"sum":437632,"residue":560},{"from_index":1762,"to_index":2690,"sum":413556,"residue":560},{"from_index":2690,"to_index":834,"sum":434854,"residue":560}],"minimal_cycle":[560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":560,"start_interval_clock_positions":[834,1762],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-835","shape":"Equilateral triangle","alpha_indices":[835,1763,2691],"clock_positions":[835,1763,2691],"native_values":[903,903,440],"rotation_degrees":107.97413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[903,903,440],"beta":{"interval_sums":[437558,413482,434780],"interval_residues":[486,486,486],"display_cycle":[486,486,486],"intervals":[{"from_index":835,"to_index":1763,"sum":437558,"residue":486},{"from_index":1763,"to_index":2691,"sum":413482,"residue":486},{"from_index":2691,"to_index":835,"sum":434780,"residue":486}],"minimal_cycle":[486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":486,"start_interval_clock_positions":[835,1763],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-836","shape":"Equilateral triangle","alpha_indices":[836,1764,2692],"clock_positions":[836,1764,2692],"native_values":[343,806,343],"rotation_degrees":108.10344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,806,343],"beta":{"interval_sums":[438118,413116,435340],"interval_residues":[120,120,120],"display_cycle":[120,120,120],"intervals":[{"from_index":836,"to_index":1764,"sum":438118,"residue":120},{"from_index":1764,"to_index":2692,"sum":413116,"residue":120},{"from_index":2692,"to_index":836,"sum":435340,"residue":120}],"minimal_cycle":[120],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[836,1764],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-837","shape":"Equilateral triangle","alpha_indices":[837,1765,2693],"clock_positions":[837,1765,2693],"native_values":[320,783,783],"rotation_degrees":108.23275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[320,783,783],"beta":{"interval_sums":[438604,412676,434900],"interval_residues":[606,606,606],"display_cycle":[606,606,606],"intervals":[{"from_index":837,"to_index":1765,"sum":438604,"residue":606},{"from_index":1765,"to_index":2693,"sum":412676,"residue":606},{"from_index":2693,"to_index":837,"sum":434900,"residue":606}],"minimal_cycle":[606],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":606,"start_interval_clock_positions":[837,1765],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-838","shape":"Equilateral triangle","alpha_indices":[838,1766,2694],"clock_positions":[838,1766,2694],"native_values":[663,663,200],"rotation_degrees":108.36206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[663,663,200],"beta":{"interval_sums":[438724,412796,435020],"interval_residues":[726,726,726],"display_cycle":[726,726,726],"intervals":[{"from_index":838,"to_index":1766,"sum":438724,"residue":726},{"from_index":1766,"to_index":2694,"sum":412796,"residue":726},{"from_index":2694,"to_index":838,"sum":435020,"residue":726}],"minimal_cycle":[726],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":726,"start_interval_clock_positions":[838,1766],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-839","shape":"Equilateral triangle","alpha_indices":[839,1767,2695],"clock_positions":[839,1767,2695],"native_values":[57,520,57],"rotation_degrees":108.49137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,520,57],"beta":{"interval_sums":[439330,412476,435626],"interval_residues":[406,406,406],"display_cycle":[406,406,406],"intervals":[{"from_index":839,"to_index":1767,"sum":439330,"residue":406},{"from_index":1767,"to_index":2695,"sum":412476,"residue":406},{"from_index":2695,"to_index":839,"sum":435626,"residue":406}],"minimal_cycle":[406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[839,1767],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-840","shape":"Equilateral triangle","alpha_indices":[840,1768,2696],"clock_positions":[840,1768,2696],"native_values":[720,257,257],"rotation_degrees":108.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[720,257,257],"beta":{"interval_sums":[439130,412276,435426],"interval_residues":[206,206,206],"display_cycle":[206,206,206],"intervals":[{"from_index":840,"to_index":1768,"sum":439130,"residue":206},{"from_index":1768,"to_index":2696,"sum":412276,"residue":206},{"from_index":2696,"to_index":840,"sum":435426,"residue":206}],"minimal_cycle":[206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[840,1768],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-841","shape":"Equilateral triangle","alpha_indices":[841,1769,2697],"clock_positions":[841,1769,2697],"native_values":[777,777,314],"rotation_degrees":108.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[777,777,314],"beta":{"interval_sums":[438610,411756,435832],"interval_residues":[612,612,612],"display_cycle":[612,612,612],"intervals":[{"from_index":841,"to_index":1769,"sum":438610,"residue":612},{"from_index":1769,"to_index":2697,"sum":411756,"residue":612},{"from_index":2697,"to_index":841,"sum":435832,"residue":612}],"minimal_cycle":[612],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":612,"start_interval_clock_positions":[841,1769],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-842","shape":"Equilateral triangle","alpha_indices":[842,1770,2698],"clock_positions":[842,1770,2698],"native_values":[571,108,571],"rotation_degrees":108.87931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[571,108,571],"beta":{"interval_sums":[438816,411962,436038],"interval_residues":[818,818,818],"display_cycle":[818,818,818],"intervals":[{"from_index":842,"to_index":1770,"sum":438816,"residue":818},{"from_index":1770,"to_index":2698,"sum":411962,"residue":818},{"from_index":2698,"to_index":842,"sum":436038,"residue":818}],"minimal_cycle":[818],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":818,"start_interval_clock_positions":[842,1770],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-843","shape":"Equilateral triangle","alpha_indices":[843,1771,2699],"clock_positions":[843,1771,2699],"native_values":[422,885,885],"rotation_degrees":109.00862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[422,885,885],"beta":{"interval_sums":[438502,411648,435724],"interval_residues":[504,504,504],"display_cycle":[504,504,504],"intervals":[{"from_index":843,"to_index":1771,"sum":438502,"residue":504},{"from_index":1771,"to_index":2699,"sum":411648,"residue":504},{"from_index":2699,"to_index":843,"sum":435724,"residue":504}],"minimal_cycle":[504],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":504,"start_interval_clock_positions":[843,1771],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-844","shape":"Equilateral triangle","alpha_indices":[844,1772,2700],"clock_positions":[844,1772,2700],"native_values":[67,67,530],"rotation_degrees":109.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[67,67,530],"beta":{"interval_sums":[439320,412466,435616],"interval_residues":[396,396,396],"display_cycle":[396,396,396],"intervals":[{"from_index":844,"to_index":1772,"sum":439320,"residue":396},{"from_index":1772,"to_index":2700,"sum":412466,"residue":396},{"from_index":2700,"to_index":844,"sum":435616,"residue":396}],"minimal_cycle":[396],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":396,"start_interval_clock_positions":[844,1772],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-845","shape":"Equilateral triangle","alpha_indices":[845,1773,2701],"clock_positions":[845,1773,2701],"native_values":[489,26,489],"rotation_degrees":109.26724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[489,26,489],"beta":{"interval_sums":[438898,412970,435194],"interval_residues":[900,900,900],"display_cycle":[900,900,900],"intervals":[{"from_index":845,"to_index":1773,"sum":438898,"residue":900},{"from_index":1773,"to_index":2701,"sum":412970,"residue":900},{"from_index":2701,"to_index":845,"sum":435194,"residue":900}],"minimal_cycle":[900],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":900,"start_interval_clock_positions":[845,1773],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-846","shape":"Equilateral triangle","alpha_indices":[846,1774,2702],"clock_positions":[846,1774,2702],"native_values":[556,93,93],"rotation_degrees":109.39655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[556,93,93],"beta":{"interval_sums":[438368,413366,435590],"interval_residues":[370,370,370],"display_cycle":[370,370,370],"intervals":[{"from_index":846,"to_index":1774,"sum":438368,"residue":370},{"from_index":1774,"to_index":2702,"sum":413366,"residue":370},{"from_index":2702,"to_index":846,"sum":435590,"residue":370}],"minimal_cycle":[370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[846,1774],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-847","shape":"Equilateral triangle","alpha_indices":[847,1775,2703],"clock_positions":[847,1775,2703],"native_values":[119,119,582],"rotation_degrees":109.52586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,119,582],"beta":{"interval_sums":[438342,413340,435564],"interval_residues":[344,344,344],"display_cycle":[344,344,344],"intervals":[{"from_index":847,"to_index":1775,"sum":438342,"residue":344},{"from_index":1775,"to_index":2703,"sum":413340,"residue":344},{"from_index":2703,"to_index":847,"sum":435564,"residue":344}],"minimal_cycle":[344],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":344,"start_interval_clock_positions":[847,1775],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-848","shape":"Equilateral triangle","alpha_indices":[848,1776,2704],"clock_positions":[848,1776,2704],"native_values":[675,212,675],"rotation_degrees":109.65517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[675,212,675],"beta":{"interval_sums":[437786,413710,435008],"interval_residues":[714,714,714],"display_cycle":[714,714,714],"intervals":[{"from_index":848,"to_index":1776,"sum":437786,"residue":714},{"from_index":1776,"to_index":2704,"sum":413710,"residue":714},{"from_index":2704,"to_index":848,"sum":435008,"residue":714}],"minimal_cycle":[714],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":714,"start_interval_clock_positions":[848,1776],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-849","shape":"Equilateral triangle","alpha_indices":[849,1777,2705],"clock_positions":[849,1777,2705],"native_values":[794,331,331],"rotation_degrees":109.78448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[794,331,331],"beta":{"interval_sums":[437204,414054,435352],"interval_residues":[132,132,132],"display_cycle":[132,132,132],"intervals":[{"from_index":849,"to_index":1777,"sum":437204,"residue":132},{"from_index":1777,"to_index":2705,"sum":414054,"residue":132},{"from_index":2705,"to_index":849,"sum":435352,"residue":132}],"minimal_cycle":[132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[849,1777],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-850","shape":"Equilateral triangle","alpha_indices":[850,1778,2706],"clock_positions":[850,1778,2706],"native_values":[543,543,80],"rotation_degrees":109.91379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[543,543,80],"beta":{"interval_sums":[436992,413842,436066],"interval_residues":[846,846,846],"display_cycle":[846,846,846],"intervals":[{"from_index":850,"to_index":1778,"sum":436992,"residue":846},{"from_index":1778,"to_index":2706,"sum":413842,"residue":846},{"from_index":2706,"to_index":850,"sum":436066,"residue":846}],"minimal_cycle":[846],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":846,"start_interval_clock_positions":[850,1778],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-851","shape":"Equilateral triangle","alpha_indices":[851,1779,2707],"clock_positions":[851,1779,2707],"native_values":[411,874,411],"rotation_degrees":110.04310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[411,874,411],"beta":{"interval_sums":[437124,413048,436198],"interval_residues":[52,52,52],"display_cycle":[52,52,52],"intervals":[{"from_index":851,"to_index":1779,"sum":437124,"residue":52},{"from_index":1779,"to_index":2707,"sum":413048,"residue":52},{"from_index":2707,"to_index":851,"sum":436198,"residue":52}],"minimal_cycle":[52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[851,1779],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-852","shape":"Equilateral triangle","alpha_indices":[852,1780,2708],"clock_positions":[852,1780,2708],"native_values":[28,491,491],"rotation_degrees":110.17241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[28,491,491],"beta":{"interval_sums":[437970,412968,436118],"interval_residues":[898,898,898],"display_cycle":[898,898,898],"intervals":[{"from_index":852,"to_index":1780,"sum":437970,"residue":898},{"from_index":1780,"to_index":2708,"sum":412968,"residue":898},{"from_index":2708,"to_index":852,"sum":436118,"residue":898}],"minimal_cycle":[898],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":898,"start_interval_clock_positions":[852,1780],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-853","shape":"Equilateral triangle","alpha_indices":[853,1781,2709],"clock_positions":[853,1781,2709],"native_values":[439,439,902],"rotation_degrees":110.30172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[439,439,902],"beta":{"interval_sums":[438022,413020,435244],"interval_residues":[24,24,24],"display_cycle":[24,24,24],"intervals":[{"from_index":853,"to_index":1781,"sum":438022,"residue":24},{"from_index":1781,"to_index":2709,"sum":413020,"residue":24},{"from_index":2709,"to_index":853,"sum":435244,"residue":24}],"minimal_cycle":[24],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":24,"start_interval_clock_positions":[853,1781],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-854","shape":"Equilateral triangle","alpha_indices":[854,1782,2710],"clock_positions":[854,1782,2710],"native_values":[467,4,467],"rotation_degrees":110.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[467,4,467],"beta":{"interval_sums":[437994,413918,435216],"interval_residues":[922,922,922],"display_cycle":[922,922,922],"intervals":[{"from_index":854,"to_index":1782,"sum":437994,"residue":922},{"from_index":1782,"to_index":2710,"sum":413918,"residue":922},{"from_index":2710,"to_index":854,"sum":435216,"residue":922}],"minimal_cycle":[922],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":922,"start_interval_clock_positions":[854,1782],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-855","shape":"Equilateral triangle","alpha_indices":[855,1783,2711],"clock_positions":[855,1783,2711],"native_values":[906,443,443],"rotation_degrees":110.5603448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[906,443,443],"beta":{"interval_sums":[437092,413942,435240],"interval_residues":[20,20,20],"display_cycle":[20,20,20],"intervals":[{"from_index":855,"to_index":1783,"sum":437092,"residue":20},{"from_index":1783,"to_index":2711,"sum":413942,"residue":20},{"from_index":2711,"to_index":855,"sum":435240,"residue":20}],"minimal_cycle":[20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":20,"start_interval_clock_positions":[855,1783],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-856","shape":"Equilateral triangle","alpha_indices":[856,1784,2712],"clock_positions":[856,1784,2712],"native_values":[447,447,910],"rotation_degrees":110.6896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[447,447,910],"beta":{"interval_sums":[437088,413938,435236],"interval_residues":[16,16,16],"display_cycle":[16,16,16],"intervals":[{"from_index":856,"to_index":1784,"sum":437088,"residue":16},{"from_index":1784,"to_index":2712,"sum":413938,"residue":16},{"from_index":2712,"to_index":856,"sum":435236,"residue":16}],"minimal_cycle":[16],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[856,1784],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-857","shape":"Equilateral triangle","alpha_indices":[857,1785,2713],"clock_positions":[857,1785,2713],"native_values":[427,890,427],"rotation_degrees":110.81896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[427,890,427],"beta":{"interval_sums":[437108,413958,435256],"interval_residues":[36,36,36],"display_cycle":[36,36,36],"intervals":[{"from_index":857,"to_index":1785,"sum":437108,"residue":36},{"from_index":1785,"to_index":2713,"sum":413958,"residue":36},{"from_index":2713,"to_index":857,"sum":435256,"residue":36}],"minimal_cycle":[36],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[857,1785],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-858","shape":"Equilateral triangle","alpha_indices":[858,1786,2714],"clock_positions":[858,1786,2714],"native_values":[874,411,411],"rotation_degrees":110.94827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[874,411,411],"beta":{"interval_sums":[437124,413974,435272],"interval_residues":[52,52,52],"display_cycle":[52,52,52],"intervals":[{"from_index":858,"to_index":1786,"sum":437124,"residue":52},{"from_index":1786,"to_index":2714,"sum":413974,"residue":52},{"from_index":2714,"to_index":858,"sum":435272,"residue":52}],"minimal_cycle":[52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[858,1786],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-859","shape":"Equilateral triangle","alpha_indices":[859,1787,2715],"clock_positions":[859,1787,2715],"native_values":[375,375,838],"rotation_degrees":111.07758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[375,375,838],"beta":{"interval_sums":[437160,414010,435308],"interval_residues":[88,88,88],"display_cycle":[88,88,88],"intervals":[{"from_index":859,"to_index":1787,"sum":437160,"residue":88},{"from_index":1787,"to_index":2715,"sum":414010,"residue":88},{"from_index":2715,"to_index":859,"sum":435308,"residue":88}],"minimal_cycle":[88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[859,1787],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-860","shape":"Equilateral triangle","alpha_indices":[860,1788,2716],"clock_positions":[860,1788,2716],"native_values":[323,786,323],"rotation_degrees":111.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,786,323],"beta":{"interval_sums":[437212,414062,435360],"interval_residues":[140,140,140],"display_cycle":[140,140,140],"intervals":[{"from_index":860,"to_index":1788,"sum":437212,"residue":140},{"from_index":1788,"to_index":2716,"sum":414062,"residue":140},{"from_index":2716,"to_index":860,"sum":435360,"residue":140}],"minimal_cycle":[140],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":140,"start_interval_clock_positions":[860,1788],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-861","shape":"Equilateral triangle","alpha_indices":[861,1789,2717],"clock_positions":[861,1789,2717],"native_values":[698,235,235],"rotation_degrees":111.33620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[698,235,235],"beta":{"interval_sums":[437300,414150,435448],"interval_residues":[228,228,228],"display_cycle":[228,228,228],"intervals":[{"from_index":861,"to_index":1789,"sum":437300,"residue":228},{"from_index":1789,"to_index":2717,"sum":414150,"residue":228},{"from_index":2717,"to_index":861,"sum":435448,"residue":228}],"minimal_cycle":[228],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[861,1789],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-862","shape":"Equilateral triangle","alpha_indices":[862,1790,2718],"clock_positions":[862,1790,2718],"native_values":[95,95,558],"rotation_degrees":111.46551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,95,558],"beta":{"interval_sums":[437440,414290,435588],"interval_residues":[368,368,368],"display_cycle":[368,368,368],"intervals":[{"from_index":862,"to_index":1790,"sum":437440,"residue":368},{"from_index":1790,"to_index":2718,"sum":414290,"residue":368},{"from_index":2718,"to_index":862,"sum":435588,"residue":368}],"minimal_cycle":[368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":368,"start_interval_clock_positions":[862,1790],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-863","shape":"Equilateral triangle","alpha_indices":[863,1791,2719],"clock_positions":[863,1791,2719],"native_values":[793,330,793],"rotation_degrees":111.59482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[793,330,793],"beta":{"interval_sums":[436742,414518,434890],"interval_residues":[596,596,596],"display_cycle":[596,596,596],"intervals":[{"from_index":863,"to_index":1791,"sum":436742,"residue":596},{"from_index":1791,"to_index":2719,"sum":414518,"residue":596},{"from_index":2719,"to_index":863,"sum":434890,"residue":596}],"minimal_cycle":[596],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":596,"start_interval_clock_positions":[863,1791],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-864","shape":"Equilateral triangle","alpha_indices":[864,1792,2720],"clock_positions":[864,1792,2720],"native_values":[888,425,425],"rotation_degrees":111.72413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[888,425,425],"beta":{"interval_sums":[436184,414886,435258],"interval_residues":[38,38,38],"display_cycle":[38,38,38],"intervals":[{"from_index":864,"to_index":1792,"sum":436184,"residue":38},{"from_index":1792,"to_index":2720,"sum":414886,"residue":38},{"from_index":2720,"to_index":864,"sum":435258,"residue":38}],"minimal_cycle":[38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[864,1792],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-865","shape":"Equilateral triangle","alpha_indices":[865,1793,2721],"clock_positions":[865,1793,2721],"native_values":[755,755,292],"rotation_degrees":111.85344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[755,755,292],"beta":{"interval_sums":[435854,414556,435854],"interval_residues":[634,634,634],"display_cycle":[634,634,634],"intervals":[{"from_index":865,"to_index":1793,"sum":435854,"residue":634},{"from_index":1793,"to_index":2721,"sum":414556,"residue":634},{"from_index":2721,"to_index":865,"sum":435854,"residue":634}],"minimal_cycle":[634],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":634,"start_interval_clock_positions":[865,1793],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-866","shape":"Equilateral triangle","alpha_indices":[866,1794,2722],"clock_positions":[866,1794,2722],"native_values":[717,254,717],"rotation_degrees":111.98275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[717,254,717],"beta":{"interval_sums":[435892,414594,435892],"interval_residues":[672,672,672],"display_cycle":[672,672,672],"intervals":[{"from_index":866,"to_index":1794,"sum":435892,"residue":672},{"from_index":1794,"to_index":2722,"sum":414594,"residue":672},{"from_index":2722,"to_index":866,"sum":435892,"residue":672}],"minimal_cycle":[672],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":672,"start_interval_clock_positions":[866,1794],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-867","shape":"Equilateral triangle","alpha_indices":[867,1795,2723],"clock_positions":[867,1795,2723],"native_values":[546,83,83],"rotation_degrees":112.11206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[546,83,83],"beta":{"interval_sums":[435600,415228,436526],"interval_residues":[380,380,380],"display_cycle":[380,380,380],"intervals":[{"from_index":867,"to_index":1795,"sum":435600,"residue":380},{"from_index":1795,"to_index":2723,"sum":415228,"residue":380},{"from_index":2723,"to_index":867,"sum":436526,"residue":380}],"minimal_cycle":[380],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":380,"start_interval_clock_positions":[867,1795],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-868","shape":"Equilateral triangle","alpha_indices":[868,1796,2724],"clock_positions":[868,1796,2724],"native_values":[337,337,800],"rotation_degrees":112.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,337,800],"beta":{"interval_sums":[435346,414974,436272],"interval_residues":[126,126,126],"display_cycle":[126,126,126],"intervals":[{"from_index":868,"to_index":1796,"sum":435346,"residue":126},{"from_index":1796,"to_index":2724,"sum":414974,"residue":126},{"from_index":2724,"to_index":868,"sum":436272,"residue":126}],"minimal_cycle":[126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[868,1796],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-869","shape":"Equilateral triangle","alpha_indices":[869,1797,2725],"clock_positions":[869,1797,2725],"native_values":[883,420,883],"rotation_degrees":112.37068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[883,420,883],"beta":{"interval_sums":[434800,415354,435726],"interval_residues":[506,506,506],"display_cycle":[506,506,506],"intervals":[{"from_index":869,"to_index":1797,"sum":434800,"residue":506},{"from_index":1797,"to_index":2725,"sum":415354,"residue":506},{"from_index":2725,"to_index":869,"sum":435726,"residue":506}],"minimal_cycle":[506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":506,"start_interval_clock_positions":[869,1797],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-870","shape":"Equilateral triangle","alpha_indices":[870,1798,2726],"clock_positions":[870,1798,2726],"native_values":[294,757,757],"rotation_degrees":112.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[294,757,757],"beta":{"interval_sums":[434926,415480,435852],"interval_residues":[632,632,632],"display_cycle":[632,632,632],"intervals":[{"from_index":870,"to_index":1798,"sum":434926,"residue":632},{"from_index":1798,"to_index":2726,"sum":415480,"residue":632},{"from_index":2726,"to_index":870,"sum":435852,"residue":632}],"minimal_cycle":[632],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":632,"start_interval_clock_positions":[870,1798],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-871","shape":"Equilateral triangle","alpha_indices":[871,1799,2727],"clock_positions":[871,1799,2727],"native_values":[251,251,714],"rotation_degrees":112.62931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[251,251,714],"beta":{"interval_sums":[435432,415986,435432],"interval_residues":[212,212,212],"display_cycle":[212,212,212],"intervals":[{"from_index":871,"to_index":1799,"sum":435432,"residue":212},{"from_index":1799,"to_index":2727,"sum":415986,"residue":212},{"from_index":2727,"to_index":871,"sum":435432,"residue":212}],"minimal_cycle":[212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":212,"start_interval_clock_positions":[871,1799],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-872","shape":"Equilateral triangle","alpha_indices":[872,1800,2728],"clock_positions":[872,1800,2728],"native_values":[545,82,545],"rotation_degrees":112.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,82,545],"beta":{"interval_sums":[435138,416618,435138],"interval_residues":[844,844,844],"display_cycle":[844,844,844],"intervals":[{"from_index":872,"to_index":1800,"sum":435138,"residue":844},{"from_index":1800,"to_index":2728,"sum":416618,"residue":844},{"from_index":2728,"to_index":872,"sum":435138,"residue":844}],"minimal_cycle":[844],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":844,"start_interval_clock_positions":[872,1800],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-873","shape":"Equilateral triangle","alpha_indices":[873,1801,2729],"clock_positions":[873,1801,2729],"native_values":[796,333,333],"rotation_degrees":112.88793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[796,333,333],"beta":{"interval_sums":[434424,416830,435350],"interval_residues":[130,130,130],"display_cycle":[130,130,130],"intervals":[{"from_index":873,"to_index":1801,"sum":434424,"residue":130},{"from_index":1801,"to_index":2729,"sum":416830,"residue":130},{"from_index":2729,"to_index":873,"sum":435350,"residue":130}],"minimal_cycle":[130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[873,1801],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-874","shape":"Equilateral triangle","alpha_indices":[874,1802,2730],"clock_positions":[874,1802,2730],"native_values":[415,415,878],"rotation_degrees":113.01724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[415,415,878],"beta":{"interval_sums":[434342,416748,435268],"interval_residues":[48,48,48],"display_cycle":[48,48,48],"intervals":[{"from_index":874,"to_index":1802,"sum":434342,"residue":48},{"from_index":1802,"to_index":2730,"sum":416748,"residue":48},{"from_index":2730,"to_index":874,"sum":435268,"residue":48}],"minimal_cycle":[48],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":48,"start_interval_clock_positions":[874,1802],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-875","shape":"Equilateral triangle","alpha_indices":[875,1803,2731],"clock_positions":[875,1803,2731],"native_values":[285,748,285],"rotation_degrees":113.14655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[285,748,285],"beta":{"interval_sums":[434472,416878,435398],"interval_residues":[178,178,178],"display_cycle":[178,178,178],"intervals":[{"from_index":875,"to_index":1803,"sum":434472,"residue":178},{"from_index":1803,"to_index":2731,"sum":416878,"residue":178},{"from_index":2731,"to_index":875,"sum":435398,"residue":178}],"minimal_cycle":[178],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":178,"start_interval_clock_positions":[875,1803],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-876","shape":"Equilateral triangle","alpha_indices":[876,1804,2732],"clock_positions":[876,1804,2732],"native_values":[700,237,237],"rotation_degrees":113.27586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[700,237,237],"beta":{"interval_sums":[434520,416926,435446],"interval_residues":[226,226,226],"display_cycle":[226,226,226],"intervals":[{"from_index":876,"to_index":1804,"sum":434520,"residue":226},{"from_index":1804,"to_index":2732,"sum":416926,"residue":226},{"from_index":2732,"to_index":876,"sum":435446,"residue":226}],"minimal_cycle":[226],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":226,"start_interval_clock_positions":[876,1804],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-877","shape":"Equilateral triangle","alpha_indices":[877,1805,2733],"clock_positions":[877,1805,2733],"native_values":[59,59,522],"rotation_degrees":113.40517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[59,59,522],"beta":{"interval_sums":[434698,417104,435624],"interval_residues":[404,404,404],"display_cycle":[404,404,404],"intervals":[{"from_index":877,"to_index":1805,"sum":434698,"residue":404},{"from_index":1805,"to_index":2733,"sum":417104,"residue":404},{"from_index":2733,"to_index":877,"sum":435624,"residue":404}],"minimal_cycle":[404],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":404,"start_interval_clock_positions":[877,1805],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-878","shape":"Equilateral triangle","alpha_indices":[878,1806,2734],"clock_positions":[878,1806,2734],"native_values":[759,296,759],"rotation_degrees":113.53448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[759,296,759],"beta":{"interval_sums":[433998,417330,434924],"interval_residues":[630,630,630],"display_cycle":[630,630,630],"intervals":[{"from_index":878,"to_index":1806,"sum":433998,"residue":630},{"from_index":1806,"to_index":2734,"sum":417330,"residue":630},{"from_index":2734,"to_index":878,"sum":434924,"residue":630}],"minimal_cycle":[630],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":630,"start_interval_clock_positions":[878,1806],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-879","shape":"Equilateral triangle","alpha_indices":[879,1807,2735],"clock_positions":[879,1807,2735],"native_values":[818,355,355],"rotation_degrees":113.66379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[818,355,355],"beta":{"interval_sums":[433476,417734,435328],"interval_residues":[108,108,108],"display_cycle":[108,108,108],"intervals":[{"from_index":879,"to_index":1807,"sum":433476,"residue":108},{"from_index":1807,"to_index":2735,"sum":417734,"residue":108},{"from_index":2735,"to_index":879,"sum":435328,"residue":108}],"minimal_cycle":[108],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":108,"start_interval_clock_positions":[879,1807],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-880","shape":"Equilateral triangle","alpha_indices":[880,1808,2736],"clock_positions":[880,1808,2736],"native_values":[651,651,188],"rotation_degrees":113.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[651,651,188],"beta":{"interval_sums":[433180,417438,435958],"interval_residues":[738,738,738],"display_cycle":[738,738,738],"intervals":[{"from_index":880,"to_index":1808,"sum":433180,"residue":738},{"from_index":1808,"to_index":2736,"sum":417438,"residue":738},{"from_index":2736,"to_index":880,"sum":435958,"residue":738}],"minimal_cycle":[738],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":738,"start_interval_clock_positions":[880,1808],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-881","shape":"Equilateral triangle","alpha_indices":[881,1809,2737],"clock_positions":[881,1809,2737],"native_values":[543,80,543],"rotation_degrees":113.92241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[543,80,543],"beta":{"interval_sums":[433288,417546,436066],"interval_residues":[846,846,846],"display_cycle":[846,846,846],"intervals":[{"from_index":881,"to_index":1809,"sum":433288,"residue":846},{"from_index":1809,"to_index":2737,"sum":417546,"residue":846},{"from_index":2737,"to_index":881,"sum":436066,"residue":846}],"minimal_cycle":[846],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":846,"start_interval_clock_positions":[881,1809],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-882","shape":"Equilateral triangle","alpha_indices":[882,1810,2738],"clock_positions":[882,1810,2738],"native_values":[268,731,731],"rotation_degrees":114.05172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[268,731,731],"beta":{"interval_sums":[433100,417358,435878],"interval_residues":[658,658,658],"display_cycle":[658,658,658],"intervals":[{"from_index":882,"to_index":1810,"sum":433100,"residue":658},{"from_index":1810,"to_index":2738,"sum":417358,"residue":658},{"from_index":2738,"to_index":882,"sum":435878,"residue":658}],"minimal_cycle":[658],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":658,"start_interval_clock_positions":[882,1810],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-883","shape":"Equilateral triangle","alpha_indices":[883,1811,2739],"clock_positions":[883,1811,2739],"native_values":[811,811,348],"rotation_degrees":114.18103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[811,811,348],"beta":{"interval_sums":[433020,417278,435798],"interval_residues":[578,578,578],"display_cycle":[578,578,578],"intervals":[{"from_index":883,"to_index":1811,"sum":433020,"residue":578},{"from_index":1811,"to_index":2739,"sum":417278,"residue":578},{"from_index":2739,"to_index":883,"sum":435798,"residue":578}],"minimal_cycle":[578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[883,1811],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-884","shape":"Equilateral triangle","alpha_indices":[884,1812,2740],"clock_positions":[884,1812,2740],"native_values":[153,616,153],"rotation_degrees":114.3103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[153,616,153],"beta":{"interval_sums":[433678,417010,436456],"interval_residues":[310,310,310],"display_cycle":[310,310,310],"intervals":[{"from_index":884,"to_index":1812,"sum":433678,"residue":310},{"from_index":1812,"to_index":2740,"sum":417010,"residue":310},{"from_index":2740,"to_index":884,"sum":436456,"residue":310}],"minimal_cycle":[310],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":310,"start_interval_clock_positions":[884,1812],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-885","shape":"Equilateral triangle","alpha_indices":[885,1813,2741],"clock_positions":[885,1813,2741],"native_values":[38,501,501],"rotation_degrees":114.4396551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[38,501,501],"beta":{"interval_sums":[434256,416662,436108],"interval_residues":[888,888,888],"display_cycle":[888,888,888],"intervals":[{"from_index":885,"to_index":1813,"sum":434256,"residue":888},{"from_index":1813,"to_index":2741,"sum":416662,"residue":888},{"from_index":2741,"to_index":885,"sum":436108,"residue":888}],"minimal_cycle":[888],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":888,"start_interval_clock_positions":[885,1813],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-886","shape":"Equilateral triangle","alpha_indices":[886,1814,2742],"clock_positions":[886,1814,2742],"native_values":[191,191,654],"rotation_degrees":114.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[191,191,654],"beta":{"interval_sums":[434566,416972,435492],"interval_residues":[272,272,272],"display_cycle":[272,272,272],"intervals":[{"from_index":886,"to_index":1814,"sum":434566,"residue":272},{"from_index":1814,"to_index":2742,"sum":416972,"residue":272},{"from_index":2742,"to_index":886,"sum":435492,"residue":272}],"minimal_cycle":[272],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":272,"start_interval_clock_positions":[886,1814],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-887","shape":"Equilateral triangle","alpha_indices":[887,1815,2743],"clock_positions":[887,1815,2743],"native_values":[229,692,229],"rotation_degrees":114.69827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[229,692,229],"beta":{"interval_sums":[434528,416934,435454],"interval_residues":[234,234,234],"display_cycle":[234,234,234],"intervals":[{"from_index":887,"to_index":1815,"sum":434528,"residue":234},{"from_index":1815,"to_index":2743,"sum":416934,"residue":234},{"from_index":2743,"to_index":887,"sum":435454,"residue":234}],"minimal_cycle":[234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[887,1815],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-888","shape":"Equilateral triangle","alpha_indices":[888,1816,2744],"clock_positions":[888,1816,2744],"native_values":[420,883,883],"rotation_degrees":114.82758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[420,883,883],"beta":{"interval_sums":[434800,416280,434800],"interval_residues":[506,506,506],"display_cycle":[506,506,506],"intervals":[{"from_index":888,"to_index":1816,"sum":434800,"residue":506},{"from_index":1816,"to_index":2744,"sum":416280,"residue":506},{"from_index":2744,"to_index":888,"sum":434800,"residue":506}],"minimal_cycle":[506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":506,"start_interval_clock_positions":[888,1816],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-889","shape":"Equilateral triangle","alpha_indices":[889,1817,2745],"clock_positions":[889,1817,2745],"native_values":[649,649,186],"rotation_degrees":114.95689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[649,649,186],"beta":{"interval_sums":[435034,416514,435034],"interval_residues":[740,740,740],"display_cycle":[740,740,740],"intervals":[{"from_index":889,"to_index":1817,"sum":435034,"residue":740},{"from_index":1817,"to_index":2745,"sum":416514,"residue":740},{"from_index":2745,"to_index":889,"sum":435034,"residue":740}],"minimal_cycle":[740],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":740,"start_interval_clock_positions":[889,1817],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-890","shape":"Equilateral triangle","alpha_indices":[890,1818,2746],"clock_positions":[890,1818,2746],"native_values":[143,606,143],"rotation_degrees":115.08620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[143,606,143],"beta":{"interval_sums":[435540,416094,435540],"interval_residues":[320,320,320],"display_cycle":[320,320,320],"intervals":[{"from_index":890,"to_index":1818,"sum":435540,"residue":320},{"from_index":1818,"to_index":2746,"sum":416094,"residue":320},{"from_index":2746,"to_index":890,"sum":435540,"residue":320}],"minimal_cycle":[320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[890,1818],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-891","shape":"Equilateral triangle","alpha_indices":[891,1819,2747],"clock_positions":[891,1819,2747],"native_values":[792,329,329],"rotation_degrees":115.21551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[792,329,329],"beta":{"interval_sums":[435354,415908,435354],"interval_residues":[134,134,134],"display_cycle":[134,134,134],"intervals":[{"from_index":891,"to_index":1819,"sum":435354,"residue":134},{"from_index":1819,"to_index":2747,"sum":415908,"residue":134},{"from_index":2747,"to_index":891,"sum":435354,"residue":134}],"minimal_cycle":[134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[891,1819],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-892","shape":"Equilateral triangle","alpha_indices":[892,1820,2748],"clock_positions":[892,1820,2748],"native_values":[9,9,472],"rotation_degrees":115.34482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,9,472],"beta":{"interval_sums":[435674,416228,435674],"interval_residues":[454,454,454],"display_cycle":[454,454,454],"intervals":[{"from_index":892,"to_index":1820,"sum":435674,"residue":454},{"from_index":1820,"to_index":2748,"sum":416228,"residue":454},{"from_index":2748,"to_index":892,"sum":435674,"residue":454}],"minimal_cycle":[454],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":454,"start_interval_clock_positions":[892,1820],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-893","shape":"Equilateral triangle","alpha_indices":[893,1821,2749],"clock_positions":[893,1821,2749],"native_values":[801,338,801],"rotation_degrees":115.47413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[801,338,801],"beta":{"interval_sums":[434882,416362,434882],"interval_residues":[588,588,588],"display_cycle":[588,588,588],"intervals":[{"from_index":893,"to_index":1821,"sum":434882,"residue":588},{"from_index":1821,"to_index":2749,"sum":416362,"residue":588},{"from_index":2749,"to_index":893,"sum":434882,"residue":588}],"minimal_cycle":[588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[893,1821],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-894","shape":"Equilateral triangle","alpha_indices":[894,1822,2750],"clock_positions":[894,1822,2750],"native_values":[810,347,347],"rotation_degrees":115.60344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[810,347,347],"beta":{"interval_sums":[434410,416816,435336],"interval_residues":[116,116,116],"display_cycle":[116,116,116],"intervals":[{"from_index":894,"to_index":1822,"sum":434410,"residue":116},{"from_index":1822,"to_index":2750,"sum":416816,"residue":116},{"from_index":2750,"to_index":894,"sum":435336,"residue":116}],"minimal_cycle":[116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[894,1822],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-895","shape":"Equilateral triangle","alpha_indices":[895,1823,2751],"clock_positions":[895,1823,2751],"native_values":[685,685,222],"rotation_degrees":115.73275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[685,685,222],"beta":{"interval_sums":[434072,416478,435924],"interval_residues":[704,704,704],"display_cycle":[704,704,704],"intervals":[{"from_index":895,"to_index":1823,"sum":434072,"residue":704},{"from_index":1823,"to_index":2751,"sum":416478,"residue":704},{"from_index":2751,"to_index":895,"sum":435924,"residue":704}],"minimal_cycle":[704],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":704,"start_interval_clock_positions":[895,1823],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-896","shape":"Equilateral triangle","alpha_indices":[896,1824,2752],"clock_positions":[896,1824,2752],"native_values":[569,106,569],"rotation_degrees":115.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[569,106,569],"beta":{"interval_sums":[434188,416594,436040],"interval_residues":[820,820,820],"display_cycle":[820,820,820],"intervals":[{"from_index":896,"to_index":1824,"sum":434188,"residue":820},{"from_index":1824,"to_index":2752,"sum":416594,"residue":820},{"from_index":2752,"to_index":896,"sum":436040,"residue":820}],"minimal_cycle":[820],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":820,"start_interval_clock_positions":[896,1824],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-897","shape":"Equilateral triangle","alpha_indices":[897,1825,2753],"clock_positions":[897,1825,2753],"native_values":[328,791,791],"rotation_degrees":115.99137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[328,791,791],"beta":{"interval_sums":[433966,416372,435818],"interval_residues":[598,598,598],"display_cycle":[598,598,598],"intervals":[{"from_index":897,"to_index":1825,"sum":433966,"residue":598},{"from_index":1825,"to_index":2753,"sum":416372,"residue":598},{"from_index":2753,"to_index":897,"sum":435818,"residue":598}],"minimal_cycle":[598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":598,"start_interval_clock_positions":[897,1825],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-898","shape":"Equilateral triangle","alpha_indices":[898,1826,2754],"clock_positions":[898,1826,2754],"native_values":[897,897,434],"rotation_degrees":116.12068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[897,897,434],"beta":{"interval_sums":[433860,416266,435712],"interval_residues":[492,492,492],"display_cycle":[492,492,492],"intervals":[{"from_index":898,"to_index":1826,"sum":433860,"residue":492},{"from_index":1826,"to_index":2754,"sum":416266,"residue":492},{"from_index":2754,"to_index":898,"sum":435712,"residue":492}],"minimal_cycle":[492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":492,"start_interval_clock_positions":[898,1826],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-899","shape":"Equilateral triangle","alpha_indices":[899,1827,2755],"clock_positions":[899,1827,2755],"native_values":[299,762,299],"rotation_degrees":116.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,762,299],"beta":{"interval_sums":[434458,415938,436310],"interval_residues":[164,164,164],"display_cycle":[164,164,164],"intervals":[{"from_index":899,"to_index":1827,"sum":434458,"residue":164},{"from_index":1827,"to_index":2755,"sum":415938,"residue":164},{"from_index":2755,"to_index":899,"sum":436310,"residue":164}],"minimal_cycle":[164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[899,1827],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-900","shape":"Equilateral triangle","alpha_indices":[900,1828,2756],"clock_positions":[900,1828,2756],"native_values":[270,733,733],"rotation_degrees":116.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[270,733,733],"beta":{"interval_sums":[434950,415504,435876],"interval_residues":[656,656,656],"display_cycle":[656,656,656],"intervals":[{"from_index":900,"to_index":1828,"sum":434950,"residue":656},{"from_index":1828,"to_index":2756,"sum":415504,"residue":656},{"from_index":2756,"to_index":900,"sum":435876,"residue":656}],"minimal_cycle":[656],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":656,"start_interval_clock_positions":[900,1828],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-901","shape":"Equilateral triangle","alpha_indices":[901,1829,2757],"clock_positions":[901,1829,2757],"native_values":[569,569,106],"rotation_degrees":116.50862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[569,569,106],"beta":{"interval_sums":[435114,415668,436040],"interval_residues":[820,820,820],"display_cycle":[820,820,820],"intervals":[{"from_index":901,"to_index":1829,"sum":435114,"residue":820},{"from_index":1829,"to_index":2757,"sum":415668,"residue":820},{"from_index":2757,"to_index":901,"sum":436040,"residue":820}],"minimal_cycle":[820],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":820,"start_interval_clock_positions":[901,1829],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-902","shape":"Equilateral triangle","alpha_indices":[902,1830,2758],"clock_positions":[902,1830,2758],"native_values":[839,376,839],"rotation_degrees":116.63793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[839,376,839],"beta":{"interval_sums":[434844,415398,435770],"interval_residues":[550,550,550],"display_cycle":[550,550,550],"intervals":[{"from_index":902,"to_index":1830,"sum":434844,"residue":550},{"from_index":1830,"to_index":2758,"sum":415398,"residue":550},{"from_index":2758,"to_index":902,"sum":435770,"residue":550}],"minimal_cycle":[550],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":550,"start_interval_clock_positions":[902,1830],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-903","shape":"Equilateral triangle","alpha_indices":[903,1831,2759],"clock_positions":[903,1831,2759],"native_values":[482,19,19],"rotation_degrees":116.76724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[482,19,19],"beta":{"interval_sums":[434738,416218,436590],"interval_residues":[444,444,444],"display_cycle":[444,444,444],"intervals":[{"from_index":903,"to_index":1831,"sum":434738,"residue":444},{"from_index":1831,"to_index":2759,"sum":416218,"residue":444},{"from_index":2759,"to_index":903,"sum":436590,"residue":444}],"minimal_cycle":[444],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[903,1831],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-904","shape":"Equilateral triangle","alpha_indices":[904,1832,2760],"clock_positions":[904,1832,2760],"native_values":[395,395,858],"rotation_degrees":116.89655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[395,395,858],"beta":{"interval_sums":[434362,415842,436214],"interval_residues":[68,68,68],"display_cycle":[68,68,68],"intervals":[{"from_index":904,"to_index":1832,"sum":434362,"residue":68},{"from_index":1832,"to_index":2760,"sum":415842,"residue":68},{"from_index":2760,"to_index":904,"sum":436214,"residue":68}],"minimal_cycle":[68],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":68,"start_interval_clock_positions":[904,1832],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-905","shape":"Equilateral triangle","alpha_indices":[905,1833,2761],"clock_positions":[905,1833,2761],"native_values":[877,414,877],"rotation_degrees":117.02586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[877,414,877],"beta":{"interval_sums":[433880,416286,435732],"interval_residues":[512,512,512],"display_cycle":[512,512,512],"intervals":[{"from_index":905,"to_index":1833,"sum":433880,"residue":512},{"from_index":1833,"to_index":2761,"sum":416286,"residue":512},{"from_index":2761,"to_index":905,"sum":435732,"residue":512}],"minimal_cycle":[512],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":512,"start_interval_clock_positions":[905,1833],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-906","shape":"Equilateral triangle","alpha_indices":[906,1834,2762],"clock_positions":[906,1834,2762],"native_values":[346,809,809],"rotation_degrees":117.15517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[346,809,809],"beta":{"interval_sums":[433948,416354,435800],"interval_residues":[580,580,580],"display_cycle":[580,580,580],"intervals":[{"from_index":906,"to_index":1834,"sum":433948,"residue":580},{"from_index":1834,"to_index":2762,"sum":416354,"residue":580},{"from_index":2762,"to_index":906,"sum":435800,"residue":580}],"minimal_cycle":[580],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":580,"start_interval_clock_positions":[906,1834],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-907","shape":"Equilateral triangle","alpha_indices":[907,1835,2763],"clock_positions":[907,1835,2763],"native_values":[297,297,760],"rotation_degrees":117.28448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[297,297,760],"beta":{"interval_sums":[434460,416866,435386],"interval_residues":[166,166,166],"display_cycle":[166,166,166],"intervals":[{"from_index":907,"to_index":1835,"sum":434460,"residue":166},{"from_index":1835,"to_index":2763,"sum":416866,"residue":166},{"from_index":2763,"to_index":907,"sum":435386,"residue":166}],"minimal_cycle":[166],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":166,"start_interval_clock_positions":[907,1835],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-908","shape":"Equilateral triangle","alpha_indices":[908,1836,2764],"clock_positions":[908,1836,2764],"native_values":[643,180,643],"rotation_degrees":117.41379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[643,180,643],"beta":{"interval_sums":[434114,417446,435040],"interval_residues":[746,746,746],"display_cycle":[746,746,746],"intervals":[{"from_index":908,"to_index":1836,"sum":434114,"residue":746},{"from_index":1836,"to_index":2764,"sum":417446,"residue":746},{"from_index":2764,"to_index":908,"sum":435040,"residue":746}],"minimal_cycle":[746],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":746,"start_interval_clock_positions":[908,1836],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-909","shape":"Equilateral triangle","alpha_indices":[909,1837,2765],"clock_positions":[909,1837,2765],"native_values":[14,477,477],"rotation_degrees":117.54310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[14,477,477],"beta":{"interval_sums":[434280,417612,435206],"interval_residues":[912,912,912],"display_cycle":[912,912,912],"intervals":[{"from_index":909,"to_index":1837,"sum":434280,"residue":912},{"from_index":1837,"to_index":2765,"sum":417612,"residue":912},{"from_index":2765,"to_index":909,"sum":435206,"residue":912}],"minimal_cycle":[912],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":912,"start_interval_clock_positions":[909,1837],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-910","shape":"Equilateral triangle","alpha_indices":[910,1838,2766],"clock_positions":[910,1838,2766],"native_values":[657,657,194],"rotation_degrees":117.67241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,657,194],"beta":{"interval_sums":[434100,417432,435026],"interval_residues":[732,732,732],"display_cycle":[732,732,732],"intervals":[{"from_index":910,"to_index":1838,"sum":434100,"residue":732},{"from_index":1838,"to_index":2766,"sum":417432,"residue":732},{"from_index":2766,"to_index":910,"sum":435026,"residue":732}],"minimal_cycle":[732],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":732,"start_interval_clock_positions":[910,1838],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-911","shape":"Equilateral triangle","alpha_indices":[911,1839,2767],"clock_positions":[911,1839,2767],"native_values":[671,208,671],"rotation_degrees":117.80172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,208,671],"beta":{"interval_sums":[434086,417418,435012],"interval_residues":[718,718,718],"display_cycle":[718,718,718],"intervals":[{"from_index":911,"to_index":1839,"sum":434086,"residue":718},{"from_index":1839,"to_index":2767,"sum":417418,"residue":718},{"from_index":2767,"to_index":911,"sum":435012,"residue":718}],"minimal_cycle":[718],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":718,"start_interval_clock_positions":[911,1839],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-912","shape":"Equilateral triangle","alpha_indices":[912,1840,2768],"clock_positions":[912,1840,2768],"native_values":[402,865,865],"rotation_degrees":117.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[402,865,865],"beta":{"interval_sums":[433892,417224,434818],"interval_residues":[524,524,524],"display_cycle":[524,524,524],"intervals":[{"from_index":912,"to_index":1840,"sum":433892,"residue":524},{"from_index":1840,"to_index":2768,"sum":417224,"residue":524},{"from_index":2768,"to_index":912,"sum":434818,"residue":524}],"minimal_cycle":[524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[912,1840],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-913","shape":"Equilateral triangle","alpha_indices":[913,1841,2769],"clock_positions":[913,1841,2769],"native_values":[147,147,610],"rotation_degrees":118.0603448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[147,147,610],"beta":{"interval_sums":[434610,417942,434610],"interval_residues":[316,316,316],"display_cycle":[316,316,316],"intervals":[{"from_index":913,"to_index":1841,"sum":434610,"residue":316},{"from_index":1841,"to_index":2769,"sum":417942,"residue":316},{"from_index":2769,"to_index":913,"sum":434610,"residue":316}],"minimal_cycle":[316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":316,"start_interval_clock_positions":[913,1841],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-914","shape":"Equilateral triangle","alpha_indices":[914,1842,2770],"clock_positions":[914,1842,2770],"native_values":[549,86,549],"rotation_degrees":118.1896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[549,86,549],"beta":{"interval_sums":[434208,418466,434208],"interval_residues":[840,840,840],"display_cycle":[840,840,840],"intervals":[{"from_index":914,"to_index":1842,"sum":434208,"residue":840},{"from_index":1842,"to_index":2770,"sum":418466,"residue":840},{"from_index":2770,"to_index":914,"sum":434208,"residue":840}],"minimal_cycle":[840],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":840,"start_interval_clock_positions":[914,1842],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-915","shape":"Equilateral triangle","alpha_indices":[915,1843,2771],"clock_positions":[915,1843,2771],"native_values":[696,233,233],"rotation_degrees":118.31896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[696,233,233],"beta":{"interval_sums":[433598,418782,434524],"interval_residues":[230,230,230],"display_cycle":[230,230,230],"intervals":[{"from_index":915,"to_index":1843,"sum":433598,"residue":230},{"from_index":1843,"to_index":2771,"sum":418782,"residue":230},{"from_index":2771,"to_index":915,"sum":434524,"residue":230}],"minimal_cycle":[230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[915,1843],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-916","shape":"Equilateral triangle","alpha_indices":[916,1844,2772],"clock_positions":[916,1844,2772],"native_values":[319,319,782],"rotation_degrees":118.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[319,319,782],"beta":{"interval_sums":[433512,418696,434438],"interval_residues":[144,144,144],"display_cycle":[144,144,144],"intervals":[{"from_index":916,"to_index":1844,"sum":433512,"residue":144},{"from_index":1844,"to_index":2772,"sum":418696,"residue":144},{"from_index":2772,"to_index":916,"sum":434438,"residue":144}],"minimal_cycle":[144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[916,1844],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-917","shape":"Equilateral triangle","alpha_indices":[917,1845,2773],"clock_positions":[917,1845,2773],"native_values":[89,552,89],"rotation_degrees":118.57758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,552,89],"beta":{"interval_sums":[433742,418926,434668],"interval_residues":[374,374,374],"display_cycle":[374,374,374],"intervals":[{"from_index":917,"to_index":1845,"sum":433742,"residue":374},{"from_index":1845,"to_index":2773,"sum":418926,"residue":374},{"from_index":2773,"to_index":917,"sum":434668,"residue":374}],"minimal_cycle":[374],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":374,"start_interval_clock_positions":[917,1845],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-918","shape":"Equilateral triangle","alpha_indices":[918,1846,2774],"clock_positions":[918,1846,2774],"native_values":[408,871,871],"rotation_degrees":118.70689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[408,871,871],"beta":{"interval_sums":[433886,418144,433886],"interval_residues":[518,518,518],"display_cycle":[518,518,518],"intervals":[{"from_index":918,"to_index":1846,"sum":433886,"residue":518},{"from_index":1846,"to_index":2774,"sum":418144,"residue":518},{"from_index":2774,"to_index":918,"sum":433886,"residue":518}],"minimal_cycle":[518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[918,1846],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-919","shape":"Equilateral triangle","alpha_indices":[919,1847,2775],"clock_positions":[919,1847,2775],"native_values":[497,497,34],"rotation_degrees":118.83620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[497,497,34],"beta":{"interval_sums":[434260,418518,434260],"interval_residues":[892,892,892],"display_cycle":[892,892,892],"intervals":[{"from_index":919,"to_index":1847,"sum":434260,"residue":892},{"from_index":1847,"to_index":2775,"sum":418518,"residue":892},{"from_index":2775,"to_index":919,"sum":434260,"residue":892}],"minimal_cycle":[892],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":892,"start_interval_clock_positions":[919,1847],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-920","shape":"Equilateral triangle","alpha_indices":[920,1848,2776],"clock_positions":[920,1848,2776],"native_values":[905,442,905],"rotation_degrees":118.96551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[905,442,905],"beta":{"interval_sums":[433852,418110,433852],"interval_residues":[484,484,484],"display_cycle":[484,484,484],"intervals":[{"from_index":920,"to_index":1848,"sum":433852,"residue":484},{"from_index":1848,"to_index":2776,"sum":418110,"residue":484},{"from_index":2776,"to_index":920,"sum":433852,"residue":484}],"minimal_cycle":[484],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":484,"start_interval_clock_positions":[920,1848],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-921","shape":"Equilateral triangle","alpha_indices":[921,1849,2777],"clock_positions":[921,1849,2777],"native_values":[476,13,13],"rotation_degrees":119.09482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[476,13,13],"beta":{"interval_sums":[433818,419002,434744],"interval_residues":[450,450,450],"display_cycle":[450,450,450],"intervals":[{"from_index":921,"to_index":1849,"sum":433818,"residue":450},{"from_index":1849,"to_index":2777,"sum":419002,"residue":450},{"from_index":2777,"to_index":921,"sum":434744,"residue":450}],"minimal_cycle":[450],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":450,"start_interval_clock_positions":[921,1849],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-922","shape":"Equilateral triangle","alpha_indices":[922,1850,2778],"clock_positions":[922,1850,2778],"native_values":[455,455,918],"rotation_degrees":119.22413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[455,455,918],"beta":{"interval_sums":[433376,418560,434302],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":922,"to_index":1850,"sum":433376,"residue":8},{"from_index":1850,"to_index":2778,"sum":418560,"residue":8},{"from_index":2778,"to_index":922,"sum":434302,"residue":8}],"minimal_cycle":[8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[922,1850],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-923","shape":"Equilateral triangle","alpha_indices":[923,1851,2779],"clock_positions":[923,1851,2779],"native_values":[5,468,5],"rotation_degrees":119.35344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,468,5],"beta":{"interval_sums":[433826,419010,434752],"interval_residues":[458,458,458],"display_cycle":[458,458,458],"intervals":[{"from_index":923,"to_index":1851,"sum":433826,"residue":458},{"from_index":1851,"to_index":2779,"sum":419010,"residue":458},{"from_index":2779,"to_index":923,"sum":434752,"residue":458}],"minimal_cycle":[458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":458,"start_interval_clock_positions":[923,1851],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-924","shape":"Equilateral triangle","alpha_indices":[924,1852,2780],"clock_positions":[924,1852,2780],"native_values":[460,923,923],"rotation_degrees":119.48275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[460,923,923],"beta":{"interval_sums":[433834,418092,433834],"interval_residues":[466,466,466],"display_cycle":[466,466,466],"intervals":[{"from_index":924,"to_index":1852,"sum":433834,"residue":466},{"from_index":1852,"to_index":2780,"sum":418092,"residue":466},{"from_index":2780,"to_index":924,"sum":433834,"residue":466}],"minimal_cycle":[466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[924,1852],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-925","shape":"Equilateral triangle","alpha_indices":[925,1853,2781],"clock_positions":[925,1853,2781],"native_values":[465,465,2],"rotation_degrees":119.61206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[465,465,2],"beta":{"interval_sums":[434292,418550,434292],"interval_residues":[924,924,924],"display_cycle":[924,924,924],"intervals":[{"from_index":925,"to_index":1853,"sum":434292,"residue":924},{"from_index":1853,"to_index":2781,"sum":418550,"residue":924},{"from_index":2781,"to_index":925,"sum":434292,"residue":924}],"minimal_cycle":[924],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":924,"start_interval_clock_positions":[925,1853],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-926","shape":"Equilateral triangle","alpha_indices":[926,1854,2782],"clock_positions":[926,1854,2782],"native_values":[925,462,925],"rotation_degrees":119.74137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[925,462,925],"beta":{"interval_sums":[433832,418090,433832],"interval_residues":[464,464,464],"display_cycle":[464,464,464],"intervals":[{"from_index":926,"to_index":1854,"sum":433832,"residue":464},{"from_index":1854,"to_index":2782,"sum":418090,"residue":464},{"from_index":2782,"to_index":926,"sum":433832,"residue":464}],"minimal_cycle":[464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":464,"start_interval_clock_positions":[926,1854],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-927","shape":"Equilateral triangle","alpha_indices":[927,1855,2783],"clock_positions":[927,1855,2783],"native_values":[464,1,1],"rotation_degrees":119.87068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[464,1,1],"beta":{"interval_sums":[433830,419014,434756],"interval_residues":[462,462,462],"display_cycle":[462,462,462],"intervals":[{"from_index":927,"to_index":1855,"sum":433830,"residue":462},{"from_index":1855,"to_index":2783,"sum":419014,"residue":462},{"from_index":2783,"to_index":927,"sum":434756,"residue":462}],"minimal_cycle":[462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":462,"start_interval_clock_positions":[927,1855],"circle_positions":926,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"6-nodes-offset-0","shape":"Hexagon","alpha_indices":[0,464,928,1392,1856,2320],"clock_positions":[2784,464,928,1392,1856,2320],"native_values":[926,463,463,926,463,463],"rotation_degrees":0.0,"north_south":true,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[926,463,463],"beta":{"interval_sums":[209737,225020,214367,219001,203718,214371],"interval_residues":[461,2,461,465,924,465],"display_cycle":[461,2,461,465,924,465],"intervals":[{"from_index":0,"to_index":464,"sum":209737,"residue":461},{"from_index":464,"to_index":928,"sum":225020,"residue":2},{"from_index":928,"to_index":1392,"sum":214367,"residue":461},{"from_index":1392,"to_index":1856,"sum":219001,"residue":465},{"from_index":1856,"to_index":2320,"sum":203718,"residue":924},{"from_index":2320,"to_index":0,"sum":214371,"residue":465}],"minimal_cycle":[461,2,461,465,924,465],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":461,"start_interval_clock_positions":[2784,464],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-1","shape":"Hexagon","alpha_indices":[1,465,929,1393,1857,2321],"clock_positions":[1,465,929,1393,1857,2321],"native_values":[1,462,1,925,464,925],"rotation_degrees":0.12931034482758622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,462,1,925,464,925],"beta":{"interval_sums":[210199,225021,214366,218539,203717,213446],"interval_residues":[923,3,460,3,923,466],"display_cycle":[923,3,460,3,923,466],"intervals":[{"from_index":1,"to_index":465,"sum":210199,"residue":923},{"from_index":465,"to_index":929,"sum":225021,"residue":3},{"from_index":929,"to_index":1393,"sum":214366,"residue":460},{"from_index":1393,"to_index":1857,"sum":218539,"residue":3},{"from_index":1857,"to_index":2321,"sum":203717,"residue":923},{"from_index":2321,"to_index":1,"sum":213446,"residue":466}],"minimal_cycle":[923,3,460,3,923,466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":923,"start_interval_clock_positions":[1,465],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-2","shape":"Hexagon","alpha_indices":[2,466,930,1394,1858,2322],"clock_positions":[2,466,930,1394,1858,2322],"native_values":[1,925,464,925,1,462],"rotation_degrees":0.25862068965517243,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,925,464,925,1,462],"beta":{"interval_sums":[210660,224097,214827,218078,204641,212985],"interval_residues":[458,5,921,468,921,5],"display_cycle":[458,5,921,468,921,5],"intervals":[{"from_index":2,"to_index":466,"sum":210660,"residue":458},{"from_index":466,"to_index":930,"sum":224097,"residue":5},{"from_index":930,"to_index":1394,"sum":214827,"residue":921},{"from_index":1394,"to_index":1858,"sum":218078,"residue":468},{"from_index":1858,"to_index":2322,"sum":204641,"residue":921},{"from_index":2322,"to_index":2,"sum":212985,"residue":5}],"minimal_cycle":[458,5,921,468,921,5],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":458,"start_interval_clock_positions":[2,466],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-3","shape":"Hexagon","alpha_indices":[3,467,931,1395,1859,2323],"clock_positions":[3,467,931,1395,1859,2323],"native_values":[2,461,465,924,465,461],"rotation_degrees":0.3879310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,461,465,924,465,461],"beta":{"interval_sums":[211583,224100,215287,217155,204638,212525],"interval_residues":[455,8,455,471,918,471],"display_cycle":[455,8,455,471,918,471],"intervals":[{"from_index":3,"to_index":467,"sum":211583,"residue":455},{"from_index":467,"to_index":931,"sum":224100,"residue":8},{"from_index":931,"to_index":1395,"sum":215287,"residue":455},{"from_index":1395,"to_index":1859,"sum":217155,"residue":471},{"from_index":1859,"to_index":2323,"sum":204638,"residue":918},{"from_index":2323,"to_index":3,"sum":212525,"residue":471}],"minimal_cycle":[455,8,455,471,918,471],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":455,"start_interval_clock_positions":[3,467],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-4","shape":"Hexagon","alpha_indices":[4,468,932,1396,1860,2324],"clock_positions":[4,468,932,1396,1860,2324],"native_values":[3,460,3,923,466,923],"rotation_degrees":0.5172413793103449,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,460,3,923,466,923],"beta":{"interval_sums":[212041,224105,216208,216697,204633,211604],"interval_residues":[913,13,450,13,913,476],"display_cycle":[913,13,450,13,913,476],"intervals":[{"from_index":4,"to_index":468,"sum":212041,"residue":913},{"from_index":468,"to_index":932,"sum":224105,"residue":13},{"from_index":932,"to_index":1396,"sum":216208,"residue":450},{"from_index":1396,"to_index":1860,"sum":216697,"residue":13},{"from_index":1860,"to_index":2324,"sum":204633,"residue":913},{"from_index":2324,"to_index":4,"sum":211604,"residue":476}],"minimal_cycle":[913,13,450,13,913,476],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":913,"start_interval_clock_positions":[4,468],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-5","shape":"Hexagon","alpha_indices":[5,469,933,1397,1861,2325],"clock_positions":[5,469,933,1397,1861,2325],"native_values":[5,921,468,921,5,458],"rotation_degrees":0.646551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,921,468,921,5,458],"beta":{"interval_sums":[212496,223187,216663,216242,205551,211149],"interval_residues":[442,21,905,484,905,21],"display_cycle":[442,21,905,484,905,21],"intervals":[{"from_index":5,"to_index":469,"sum":212496,"residue":442},{"from_index":469,"to_index":933,"sum":223187,"residue":21},{"from_index":933,"to_index":1397,"sum":216663,"residue":905},{"from_index":1397,"to_index":1861,"sum":216242,"residue":484},{"from_index":1861,"to_index":2325,"sum":205551,"residue":905},{"from_index":2325,"to_index":5,"sum":211149,"residue":21}],"minimal_cycle":[442,21,905,484,905,21],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[5,469],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-6","shape":"Hexagon","alpha_indices":[6,470,934,1398,1862,2326],"clock_positions":[6,470,934,1398,1862,2326],"native_values":[8,455,471,918,471,455],"rotation_degrees":0.7758620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,455,471,918,471,455],"beta":{"interval_sums":[213409,223200,217113,215329,205538,210699],"interval_residues":[429,34,429,497,892,497],"display_cycle":[429,34,429,497,892,497],"intervals":[{"from_index":6,"to_index":470,"sum":213409,"residue":429},{"from_index":470,"to_index":934,"sum":223200,"residue":34},{"from_index":934,"to_index":1398,"sum":217113,"residue":429},{"from_index":1398,"to_index":1862,"sum":215329,"residue":497},{"from_index":1862,"to_index":2326,"sum":205538,"residue":892},{"from_index":2326,"to_index":6,"sum":210699,"residue":497}],"minimal_cycle":[429,34,429,497,892,497],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":429,"start_interval_clock_positions":[6,470],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-7","shape":"Hexagon","alpha_indices":[7,471,935,1399,1863,2327],"clock_positions":[7,471,935,1399,1863,2327],"native_values":[13,450,13,913,476,913],"rotation_degrees":0.9051724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,450,13,913,476,913],"beta":{"interval_sums":[213851,223221,218018,214887,205517,209794],"interval_residues":[871,55,408,55,871,518],"display_cycle":[871,55,408,55,871,518],"intervals":[{"from_index":7,"to_index":471,"sum":213851,"residue":871},{"from_index":471,"to_index":935,"sum":223221,"residue":55},{"from_index":935,"to_index":1399,"sum":218018,"residue":408},{"from_index":1399,"to_index":1863,"sum":214887,"residue":55},{"from_index":1863,"to_index":2327,"sum":205517,"residue":871},{"from_index":2327,"to_index":7,"sum":209794,"residue":518}],"minimal_cycle":[871,55,408,55,871,518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":871,"start_interval_clock_positions":[7,471],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-8","shape":"Hexagon","alpha_indices":[8,472,936,1400,1864,2328],"clock_positions":[8,472,936,1400,1864,2328],"native_values":[21,905,484,905,21,442],"rotation_degrees":1.0344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,905,484,905,21,442],"beta":{"interval_sums":[214280,222329,218447,214458,206409,209365],"interval_residues":[374,89,837,552,837,89],"display_cycle":[374,89,837,552,837,89],"intervals":[{"from_index":8,"to_index":472,"sum":214280,"residue":374},{"from_index":472,"to_index":936,"sum":222329,"residue":89},{"from_index":936,"to_index":1400,"sum":218447,"residue":837},{"from_index":1400,"to_index":1864,"sum":214458,"residue":552},{"from_index":1864,"to_index":2328,"sum":206409,"residue":837},{"from_index":2328,"to_index":8,"sum":209365,"residue":89}],"minimal_cycle":[374,89,837,552,837,89],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":374,"start_interval_clock_positions":[8,472],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-9","shape":"Hexagon","alpha_indices":[9,473,937,1401,1865,2329],"clock_positions":[9,473,937,1401,1865,2329],"native_values":[34,429,497,892,497,429],"rotation_degrees":1.1637931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,429,497,892,497,429],"beta":{"interval_sums":[215151,222384,218855,213587,206354,208957],"interval_residues":[319,144,319,607,782,607],"display_cycle":[319,144,319,607,782,607],"intervals":[{"from_index":9,"to_index":473,"sum":215151,"residue":319},{"from_index":473,"to_index":937,"sum":222384,"residue":144},{"from_index":937,"to_index":1401,"sum":218855,"residue":319},{"from_index":1401,"to_index":1865,"sum":213587,"residue":607},{"from_index":1865,"to_index":2329,"sum":206354,"residue":782},{"from_index":2329,"to_index":9,"sum":208957,"residue":607}],"minimal_cycle":[319,144,319,607,782,607],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":319,"start_interval_clock_positions":[9,473],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-10","shape":"Hexagon","alpha_indices":[10,474,938,1402,1866,2330],"clock_positions":[10,474,938,1402,1866,2330],"native_values":[55,408,55,871,518,871],"rotation_degrees":1.293103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,408,55,871,518,871],"beta":{"interval_sums":[215525,222473,219692,213213,206265,208120],"interval_residues":[693,233,230,233,693,696],"display_cycle":[693,233,230,233,693,696],"intervals":[{"from_index":10,"to_index":474,"sum":215525,"residue":693},{"from_index":474,"to_index":938,"sum":222473,"residue":233},{"from_index":938,"to_index":1402,"sum":219692,"residue":230},{"from_index":1402,"to_index":1866,"sum":213213,"residue":233},{"from_index":1866,"to_index":2330,"sum":206265,"residue":693},{"from_index":2330,"to_index":10,"sum":208120,"residue":696}],"minimal_cycle":[693,233,230,233,693,696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":693,"start_interval_clock_positions":[10,474],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-11","shape":"Hexagon","alpha_indices":[11,475,939,1403,1867,2331],"clock_positions":[11,475,939,1403,1867,2331],"native_values":[89,837,552,837,89,374],"rotation_degrees":1.4224137931034482,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,837,552,837,89,374],"beta":{"interval_sums":[215844,221691,220011,212894,207047,207801],"interval_residues":[86,377,549,840,549,377],"display_cycle":[86,377,549,840,549,377],"intervals":[{"from_index":11,"to_index":475,"sum":215844,"residue":86},{"from_index":475,"to_index":939,"sum":221691,"residue":377},{"from_index":939,"to_index":1403,"sum":220011,"residue":549},{"from_index":1403,"to_index":1867,"sum":212894,"residue":840},{"from_index":1867,"to_index":2331,"sum":207047,"residue":549},{"from_index":2331,"to_index":11,"sum":207801,"residue":377}],"minimal_cycle":[86,377,549,840,549,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":86,"start_interval_clock_positions":[11,475],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-12","shape":"Hexagon","alpha_indices":[12,476,940,1404,1868,2332],"clock_positions":[12,476,940,1404,1868,2332],"native_values":[144,319,607,782,607,319],"rotation_degrees":1.5517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,319,607,782,607,319],"beta":{"interval_sums":[216537,221924,220241,212201,206814,207571],"interval_residues":[779,610,779,147,316,147],"display_cycle":[779,610,779,147,316,147],"intervals":[{"from_index":12,"to_index":476,"sum":216537,"residue":779},{"from_index":476,"to_index":940,"sum":221924,"residue":610},{"from_index":940,"to_index":1404,"sum":220241,"residue":779},{"from_index":1404,"to_index":1868,"sum":212201,"residue":147},{"from_index":1868,"to_index":2332,"sum":206814,"residue":316},{"from_index":2332,"to_index":12,"sum":207571,"residue":147}],"minimal_cycle":[779,610,779,147,316,147],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":779,"start_interval_clock_positions":[12,476],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-13","shape":"Hexagon","alpha_indices":[13,477,941,1405,1869,2333],"clock_positions":[13,477,941,1405,1869,2333],"native_values":[233,230,233,693,696,693],"rotation_degrees":1.6810344827586208,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,230,233,693,696,693],"beta":{"interval_sums":[216623,222301,220790,212115,206437,207022],"interval_residues":[865,61,402,61,865,524],"display_cycle":[865,61,402,61,865,524],"intervals":[{"from_index":13,"to_index":477,"sum":216623,"residue":865},{"from_index":477,"to_index":941,"sum":222301,"residue":61},{"from_index":941,"to_index":1405,"sum":220790,"residue":402},{"from_index":1405,"to_index":1869,"sum":212115,"residue":61},{"from_index":1869,"to_index":2333,"sum":206437,"residue":865},{"from_index":2333,"to_index":13,"sum":207022,"residue":524}],"minimal_cycle":[865,61,402,61,865,524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":865,"start_interval_clock_positions":[13,477],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-14","shape":"Hexagon","alpha_indices":[14,478,942,1406,1870,2334],"clock_positions":[14,478,942,1406,1870,2334],"native_values":[377,549,840,549,377,86],"rotation_degrees":1.8103448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,549,840,549,377,86],"beta":{"interval_sums":[216476,221985,220643,212262,206753,207169],"interval_residues":[718,671,255,208,255,671],"display_cycle":[718,671,255,208,255,671],"intervals":[{"from_index":14,"to_index":478,"sum":216476,"residue":718},{"from_index":478,"to_index":942,"sum":221985,"residue":671},{"from_index":942,"to_index":1406,"sum":220643,"residue":255},{"from_index":1406,"to_index":1870,"sum":212262,"residue":208},{"from_index":1870,"to_index":2334,"sum":206753,"residue":255},{"from_index":2334,"to_index":14,"sum":207169,"residue":671}],"minimal_cycle":[718,671,255,208,255,671],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":718,"start_interval_clock_positions":[14,478],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-15","shape":"Hexagon","alpha_indices":[15,479,943,1407,1871,2335],"clock_positions":[15,479,943,1407,1871,2335],"native_values":[610,779,147,316,147,779],"rotation_degrees":1.9396551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,779,147,316,147,779],"beta":{"interval_sums":[216415,222046,221045,212323,206692,206767],"interval_residues":[657,732,657,269,194,269],"display_cycle":[657,732,657,269,194,269],"intervals":[{"from_index":15,"to_index":479,"sum":216415,"residue":657},{"from_index":479,"to_index":943,"sum":222046,"residue":732},{"from_index":943,"to_index":1407,"sum":221045,"residue":657},{"from_index":1407,"to_index":1871,"sum":212323,"residue":269},{"from_index":1871,"to_index":2335,"sum":206692,"residue":194},{"from_index":2335,"to_index":15,"sum":206767,"residue":269}],"minimal_cycle":[657,732,657,269,194,269],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":657,"start_interval_clock_positions":[15,479],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-16","shape":"Hexagon","alpha_indices":[16,480,944,1408,1872,2336],"clock_positions":[16,480,944,1408,1872,2336],"native_values":[61,402,61,865,524,865],"rotation_degrees":2.0689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,402,61,865,524,865],"beta":{"interval_sums":[217133,221791,221300,211605,206947,206512],"interval_residues":[449,477,912,477,449,14],"display_cycle":[449,477,912,477,449,14],"intervals":[{"from_index":16,"to_index":480,"sum":217133,"residue":449},{"from_index":480,"to_index":944,"sum":221791,"residue":477},{"from_index":944,"to_index":1408,"sum":221300,"residue":912},{"from_index":1408,"to_index":1872,"sum":211605,"residue":477},{"from_index":1872,"to_index":2336,"sum":206947,"residue":449},{"from_index":2336,"to_index":16,"sum":206512,"residue":14}],"minimal_cycle":[449,477,912,477,449,14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":449,"start_interval_clock_positions":[16,480],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-17","shape":"Hexagon","alpha_indices":[17,481,945,1409,1873,2337],"clock_positions":[17,481,945,1409,1873,2337],"native_values":[671,255,208,255,671,718],"rotation_degrees":2.1982758620689653,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,255,208,255,671,718],"beta":{"interval_sums":[216864,221597,221957,211874,207141,205855],"interval_residues":[180,283,643,746,643,283],"display_cycle":[180,283,643,746,643,283],"intervals":[{"from_index":17,"to_index":481,"sum":216864,"residue":180},{"from_index":481,"to_index":945,"sum":221597,"residue":283},{"from_index":945,"to_index":1409,"sum":221957,"residue":643},{"from_index":1409,"to_index":1873,"sum":211874,"residue":746},{"from_index":1873,"to_index":2337,"sum":207141,"residue":643},{"from_index":2337,"to_index":17,"sum":205855,"residue":283}],"minimal_cycle":[180,283,643,746,643,283],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[17,481],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-18","shape":"Hexagon","alpha_indices":[18,482,946,1410,1874,2338],"clock_positions":[18,482,946,1410,1874,2338],"native_values":[732,657,269,194,269,657],"rotation_degrees":2.3275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[732,657,269,194,269,657],"beta":{"interval_sums":[216387,221148,221943,212351,207590,205869],"interval_residues":[629,760,629,297,166,297],"display_cycle":[629,760,629,297,166,297],"intervals":[{"from_index":18,"to_index":482,"sum":216387,"residue":629},{"from_index":482,"to_index":946,"sum":221148,"residue":760},{"from_index":946,"to_index":1410,"sum":221943,"residue":629},{"from_index":1410,"to_index":1874,"sum":212351,"residue":297},{"from_index":1874,"to_index":2338,"sum":207590,"residue":166},{"from_index":2338,"to_index":18,"sum":205869,"residue":297}],"minimal_cycle":[629,760,629,297,166,297],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":629,"start_interval_clock_positions":[18,482],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-19","shape":"Hexagon","alpha_indices":[19,483,947,1411,1875,2339],"clock_positions":[19,483,947,1411,1875,2339],"native_values":[477,912,477,449,14,449],"rotation_degrees":2.456896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,912,477,449,14,449],"beta":{"interval_sums":[216567,220505,221660,212171,208233,206152],"interval_residues":[809,117,346,117,809,580],"display_cycle":[809,117,346,117,809,580],"intervals":[{"from_index":19,"to_index":483,"sum":216567,"residue":809},{"from_index":483,"to_index":947,"sum":220505,"residue":117},{"from_index":947,"to_index":1411,"sum":221660,"residue":346},{"from_index":1411,"to_index":1875,"sum":212171,"residue":117},{"from_index":1875,"to_index":2339,"sum":208233,"residue":809},{"from_index":2339,"to_index":19,"sum":206152,"residue":580}],"minimal_cycle":[809,117,346,117,809,580],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":809,"start_interval_clock_positions":[19,483],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-20","shape":"Hexagon","alpha_indices":[20,484,948,1412,1876,2340],"clock_positions":[20,484,948,1412,1876,2340],"native_values":[283,643,746,643,283,180],"rotation_degrees":2.586206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,643,746,643,283,180],"beta":{"interval_sums":[217196,220339,221363,211542,208399,206449],"interval_residues":[512,877,49,414,49,877],"display_cycle":[512,877,49,414,49,877],"intervals":[{"from_index":20,"to_index":484,"sum":217196,"residue":512},{"from_index":484,"to_index":948,"sum":220339,"residue":877},{"from_index":948,"to_index":1412,"sum":221363,"residue":49},{"from_index":1412,"to_index":1876,"sum":211542,"residue":414},{"from_index":1876,"to_index":2340,"sum":208399,"residue":49},{"from_index":2340,"to_index":20,"sum":206449,"residue":877}],"minimal_cycle":[512,877,49,414,49,877],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":512,"start_interval_clock_positions":[20,484],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-21","shape":"Hexagon","alpha_indices":[21,485,949,1413,1877,2341],"clock_positions":[21,485,949,1413,1877,2341],"native_values":[760,629,297,166,297,629],"rotation_degrees":2.7155172413793105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[760,629,297,166,297,629],"beta":{"interval_sums":[217079,220456,221709,211659,208282,206103],"interval_residues":[395,68,395,531,858,531],"display_cycle":[395,68,395,531,858,531],"intervals":[{"from_index":21,"to_index":485,"sum":217079,"residue":395},{"from_index":485,"to_index":949,"sum":220456,"residue":68},{"from_index":949,"to_index":1413,"sum":221709,"residue":395},{"from_index":1413,"to_index":1877,"sum":211659,"residue":531},{"from_index":1877,"to_index":2341,"sum":208282,"residue":858},{"from_index":2341,"to_index":21,"sum":206103,"residue":531}],"minimal_cycle":[395,68,395,531,858,531],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":395,"start_interval_clock_positions":[21,485],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-22","shape":"Hexagon","alpha_indices":[22,486,950,1414,1878,2342],"clock_positions":[22,486,950,1414,1878,2342],"native_values":[117,346,117,809,580,809],"rotation_degrees":2.8448275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,346,117,809,580,809],"beta":{"interval_sums":[217591,220407,221758,211147,208331,206054],"interval_residues":[907,19,444,19,907,482],"display_cycle":[907,19,444,19,907,482],"intervals":[{"from_index":22,"to_index":486,"sum":217591,"residue":907},{"from_index":486,"to_index":950,"sum":220407,"residue":19},{"from_index":950,"to_index":1414,"sum":221758,"residue":444},{"from_index":1414,"to_index":1878,"sum":211147,"residue":19},{"from_index":1878,"to_index":2342,"sum":208331,"residue":907},{"from_index":2342,"to_index":22,"sum":206054,"residue":482}],"minimal_cycle":[907,19,444,19,907,482],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":907,"start_interval_clock_positions":[22,486],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-23","shape":"Hexagon","alpha_indices":[23,487,951,1415,1879,2343],"clock_positions":[23,487,951,1415,1879,2343],"native_values":[877,49,414,49,877,512],"rotation_degrees":2.9741379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[877,49,414,49,877,512],"beta":{"interval_sums":[217060,220475,222153,211678,208263,205659],"interval_residues":[376,87,839,550,839,87],"display_cycle":[376,87,839,550,839,87],"intervals":[{"from_index":23,"to_index":487,"sum":217060,"residue":376},{"from_index":487,"to_index":951,"sum":220475,"residue":87},{"from_index":951,"to_index":1415,"sum":222153,"residue":839},{"from_index":1415,"to_index":1879,"sum":211678,"residue":550},{"from_index":1879,"to_index":2343,"sum":208263,"residue":839},{"from_index":2343,"to_index":23,"sum":205659,"residue":87}],"minimal_cycle":[376,87,839,550,839,87],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":376,"start_interval_clock_positions":[23,487],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-24","shape":"Hexagon","alpha_indices":[24,488,952,1416,1880,2344],"clock_positions":[24,488,952,1416,1880,2344],"native_values":[68,395,531,858,531,395],"rotation_degrees":3.103448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[68,395,531,858,531,395],"beta":{"interval_sums":[217041,220494,221671,211697,208244,206141],"interval_residues":[357,106,357,569,820,569],"display_cycle":[357,106,357,569,820,569],"intervals":[{"from_index":24,"to_index":488,"sum":217041,"residue":357},{"from_index":488,"to_index":952,"sum":220494,"residue":106},{"from_index":952,"to_index":1416,"sum":221671,"residue":357},{"from_index":1416,"to_index":1880,"sum":211697,"residue":569},{"from_index":1880,"to_index":2344,"sum":208244,"residue":820},{"from_index":2344,"to_index":24,"sum":206141,"residue":569}],"minimal_cycle":[357,106,357,569,820,569],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":357,"start_interval_clock_positions":[24,488],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-25","shape":"Hexagon","alpha_indices":[25,489,953,1417,1881,2345],"clock_positions":[25,489,953,1417,1881,2345],"native_values":[19,444,19,907,482,907],"rotation_degrees":3.2327586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[19,444,19,907,482,907],"beta":{"interval_sums":[217417,220581,222510,211321,208157,205302],"interval_residues":[733,193,270,193,733,656],"display_cycle":[733,193,270,193,733,656],"intervals":[{"from_index":25,"to_index":489,"sum":217417,"residue":733},{"from_index":489,"to_index":953,"sum":220581,"residue":193},{"from_index":953,"to_index":1417,"sum":222510,"residue":270},{"from_index":1417,"to_index":1881,"sum":211321,"residue":193},{"from_index":1881,"to_index":2345,"sum":208157,"residue":733},{"from_index":2345,"to_index":25,"sum":205302,"residue":656}],"minimal_cycle":[733,193,270,193,733,656],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":733,"start_interval_clock_positions":[25,489],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-26","shape":"Hexagon","alpha_indices":[26,490,954,1418,1882,2346],"clock_positions":[26,490,954,1418,1882,2346],"native_values":[87,839,550,839,87,376],"rotation_degrees":3.3620689655172415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[87,839,550,839,87,376],"beta":{"interval_sums":[217774,219761,222867,210964,208977,204945],"interval_residues":[164,299,627,762,627,299],"display_cycle":[164,299,627,762,627,299],"intervals":[{"from_index":26,"to_index":490,"sum":217774,"residue":164},{"from_index":490,"to_index":954,"sum":219761,"residue":299},{"from_index":954,"to_index":1418,"sum":222867,"residue":627},{"from_index":1418,"to_index":1882,"sum":210964,"residue":762},{"from_index":1882,"to_index":2346,"sum":208977,"residue":627},{"from_index":2346,"to_index":26,"sum":204945,"residue":299}],"minimal_cycle":[164,299,627,762,627,299],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[26,490],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-27","shape":"Hexagon","alpha_indices":[27,491,955,1419,1883,2347],"clock_positions":[27,491,955,1419,1883,2347],"native_values":[106,357,569,820,569,357],"rotation_degrees":3.4913793103448274,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[106,357,569,820,569,357],"beta":{"interval_sums":[218507,219954,223137,210231,208784,204675],"interval_residues":[897,492,897,29,434,29],"display_cycle":[897,492,897,29,434,29],"intervals":[{"from_index":27,"to_index":491,"sum":218507,"residue":897},{"from_index":491,"to_index":955,"sum":219954,"residue":492},{"from_index":955,"to_index":1419,"sum":223137,"residue":897},{"from_index":1419,"to_index":1883,"sum":210231,"residue":29},{"from_index":1883,"to_index":2347,"sum":208784,"residue":434},{"from_index":2347,"to_index":27,"sum":204675,"residue":29}],"minimal_cycle":[897,492,897,29,434,29],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":897,"start_interval_clock_positions":[27,491],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-28","shape":"Hexagon","alpha_indices":[28,492,956,1420,1884,2348],"clock_positions":[28,492,956,1420,1884,2348],"native_values":[193,270,193,733,656,733],"rotation_degrees":3.6206896551724137,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,270,193,733,656,733],"beta":{"interval_sums":[218671,220253,223764,210067,208485,204048],"interval_residues":[135,791,598,791,135,328],"display_cycle":[135,791,598,791,135,328],"intervals":[{"from_index":28,"to_index":492,"sum":218671,"residue":135},{"from_index":492,"to_index":956,"sum":220253,"residue":791},{"from_index":956,"to_index":1420,"sum":223764,"residue":598},{"from_index":1420,"to_index":1884,"sum":210067,"residue":791},{"from_index":1884,"to_index":2348,"sum":208485,"residue":135},{"from_index":2348,"to_index":28,"sum":204048,"residue":328}],"minimal_cycle":[135,791,598,791,135,328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":135,"start_interval_clock_positions":[28,492],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-29","shape":"Hexagon","alpha_indices":[29,493,957,1421,1885,2349],"clock_positions":[29,493,957,1421,1885,2349],"native_values":[299,627,762,627,299,164],"rotation_degrees":3.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,627,762,627,299,164],"beta":{"interval_sums":[218642,219819,223735,210096,208919,204077],"interval_residues":[106,357,569,820,569,357],"display_cycle":[106,357,569,820,569,357],"intervals":[{"from_index":29,"to_index":493,"sum":218642,"residue":106},{"from_index":493,"to_index":957,"sum":219819,"residue":357},{"from_index":957,"to_index":1421,"sum":223735,"residue":569},{"from_index":1421,"to_index":1885,"sum":210096,"residue":820},{"from_index":1885,"to_index":2349,"sum":208919,"residue":569},{"from_index":2349,"to_index":29,"sum":204077,"residue":357}],"minimal_cycle":[106,357,569,820,569,357],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[29,493],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-30","shape":"Hexagon","alpha_indices":[30,494,958,1422,1886,2350],"clock_positions":[30,494,958,1422,1886,2350],"native_values":[492,897,29,434,29,897],"rotation_degrees":3.8793103448275863,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,897,29,434,29,897],"beta":{"interval_sums":[218777,219684,224333,209961,209054,203479],"interval_residues":[241,222,241,685,704,685],"display_cycle":[241,222,241,685,704,685],"intervals":[{"from_index":30,"to_index":494,"sum":218777,"residue":241},{"from_index":494,"to_index":958,"sum":219684,"residue":222},{"from_index":958,"to_index":1422,"sum":224333,"residue":241},{"from_index":1422,"to_index":1886,"sum":209961,"residue":685},{"from_index":1886,"to_index":2350,"sum":209054,"residue":704},{"from_index":2350,"to_index":30,"sum":203479,"residue":685}],"minimal_cycle":[241,222,241,685,704,685],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":241,"start_interval_clock_positions":[30,494],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-31","shape":"Hexagon","alpha_indices":[31,495,959,1423,1887,2351],"clock_positions":[31,495,959,1423,1887,2351],"native_values":[791,598,791,135,328,135],"rotation_degrees":4.008620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[791,598,791,135,328,135],"beta":{"interval_sums":[218883,219115,223976,209855,209623,203836],"interval_residues":[347,579,810,579,347,116],"display_cycle":[347,579,810,579,347,116],"intervals":[{"from_index":31,"to_index":495,"sum":218883,"residue":347},{"from_index":495,"to_index":959,"sum":219115,"residue":579},{"from_index":959,"to_index":1423,"sum":223976,"residue":810},{"from_index":1423,"to_index":1887,"sum":209855,"residue":579},{"from_index":1887,"to_index":2351,"sum":209623,"residue":347},{"from_index":2351,"to_index":31,"sum":203836,"residue":116}],"minimal_cycle":[347,579,810,579,347,116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":347,"start_interval_clock_positions":[31,495],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-32","shape":"Hexagon","alpha_indices":[32,496,960,1424,1888,2352],"clock_positions":[32,496,960,1424,1888,2352],"native_values":[357,569,820,569,357,106],"rotation_degrees":4.137931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,569,820,569,357,106],"beta":{"interval_sums":[219124,219337,223291,209614,209401,204521],"interval_residues":[588,801,125,338,125,801],"display_cycle":[588,801,125,338,125,801],"intervals":[{"from_index":32,"to_index":496,"sum":219124,"residue":588},{"from_index":496,"to_index":960,"sum":219337,"residue":801},{"from_index":960,"to_index":1424,"sum":223291,"residue":125},{"from_index":1424,"to_index":1888,"sum":209614,"residue":338},{"from_index":1888,"to_index":2352,"sum":209401,"residue":125},{"from_index":2352,"to_index":32,"sum":204521,"residue":801}],"minimal_cycle":[588,801,125,338,125,801],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[32,496],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-33","shape":"Hexagon","alpha_indices":[33,497,961,1425,1889,2353],"clock_positions":[33,497,961,1425,1889,2353],"native_values":[222,241,685,704,685,241],"rotation_degrees":4.267241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[222,241,685,704,685,241],"beta":{"interval_sums":[219471,219916,223175,209267,208822,204637],"interval_residues":[9,454,9,917,472,917],"display_cycle":[9,454,9,917,472,917],"intervals":[{"from_index":33,"to_index":497,"sum":219471,"residue":9},{"from_index":497,"to_index":961,"sum":219916,"residue":454},{"from_index":961,"to_index":1425,"sum":223175,"residue":9},{"from_index":1425,"to_index":1889,"sum":209267,"residue":917},{"from_index":1889,"to_index":2353,"sum":208822,"residue":472},{"from_index":2353,"to_index":33,"sum":204637,"residue":917}],"minimal_cycle":[9,454,9,917,472,917],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":9,"start_interval_clock_positions":[33,497],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-34","shape":"Hexagon","alpha_indices":[34,498,962,1426,1890,2354],"clock_positions":[34,498,962,1426,1890,2354],"native_values":[579,810,579,347,116,347],"rotation_degrees":4.396551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[579,810,579,347,116,347],"beta":{"interval_sums":[219133,219791,223300,209605,208947,204512],"interval_residues":[597,329,134,329,597,792],"display_cycle":[597,329,134,329,597,792],"intervals":[{"from_index":34,"to_index":498,"sum":219133,"residue":597},{"from_index":498,"to_index":962,"sum":219791,"residue":329},{"from_index":962,"to_index":1426,"sum":223300,"residue":134},{"from_index":1426,"to_index":1890,"sum":209605,"residue":329},{"from_index":1890,"to_index":2354,"sum":208947,"residue":597},{"from_index":2354,"to_index":34,"sum":204512,"residue":792}],"minimal_cycle":[597,329,134,329,597,792],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":597,"start_interval_clock_positions":[34,498],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-35","shape":"Hexagon","alpha_indices":[35,499,963,1427,1891,2355],"clock_positions":[35,499,963,1427,1891,2355],"native_values":[801,125,338,125,801,588],"rotation_degrees":4.525862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[801,125,338,125,801,588],"beta":{"interval_sums":[219142,220245,223309,209596,208493,204503],"interval_residues":[606,783,143,320,143,783],"display_cycle":[606,783,143,320,143,783],"intervals":[{"from_index":35,"to_index":499,"sum":219142,"residue":606},{"from_index":499,"to_index":963,"sum":220245,"residue":783},{"from_index":963,"to_index":1427,"sum":223309,"residue":143},{"from_index":1427,"to_index":1891,"sum":209596,"residue":320},{"from_index":1891,"to_index":2355,"sum":208493,"residue":143},{"from_index":2355,"to_index":35,"sum":204503,"residue":783}],"minimal_cycle":[606,783,143,320,143,783],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":606,"start_interval_clock_positions":[35,499],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-36","shape":"Hexagon","alpha_indices":[36,500,964,1428,1892,2356],"clock_positions":[36,500,964,1428,1892,2356],"native_values":[454,9,917,472,917,9],"rotation_degrees":4.655172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[454,9,917,472,917,9],"beta":{"interval_sums":[218813,220574,222517,209925,208164,205295],"interval_residues":[277,186,277,649,740,649],"display_cycle":[277,186,277,649,740,649],"intervals":[{"from_index":36,"to_index":500,"sum":218813,"residue":277},{"from_index":500,"to_index":964,"sum":220574,"residue":186},{"from_index":964,"to_index":1428,"sum":222517,"residue":277},{"from_index":1428,"to_index":1892,"sum":209925,"residue":649},{"from_index":1892,"to_index":2356,"sum":208164,"residue":740},{"from_index":2356,"to_index":36,"sum":205295,"residue":649}],"minimal_cycle":[277,186,277,649,740,649],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":277,"start_interval_clock_positions":[36,500],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-37","shape":"Hexagon","alpha_indices":[37,501,965,1429,1893,2357],"clock_positions":[37,501,965,1429,1893,2357],"native_values":[329,134,329,597,792,597],"rotation_degrees":4.7844827586206895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[329,134,329,597,792,597],"beta":{"interval_sums":[218493,221357,222660,210245,207381,205152],"interval_residues":[883,43,420,43,883,506],"display_cycle":[883,43,420,43,883,506],"intervals":[{"from_index":37,"to_index":501,"sum":218493,"residue":883},{"from_index":501,"to_index":965,"sum":221357,"residue":43},{"from_index":965,"to_index":1429,"sum":222660,"residue":420},{"from_index":1429,"to_index":1893,"sum":210245,"residue":43},{"from_index":1893,"to_index":2357,"sum":207381,"residue":883},{"from_index":2357,"to_index":37,"sum":205152,"residue":506}],"minimal_cycle":[883,43,420,43,883,506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":883,"start_interval_clock_positions":[37,501],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-38","shape":"Hexagon","alpha_indices":[38,502,966,1430,1894,2358],"clock_positions":[38,502,966,1430,1894,2358],"native_values":[783,143,320,143,783,606],"rotation_degrees":4.913793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[783,143,320,143,783,606],"beta":{"interval_sums":[217844,221543,222937,210894,207195,204875],"interval_residues":[234,229,697,692,697,229],"display_cycle":[234,229,697,692,697,229],"intervals":[{"from_index":38,"to_index":502,"sum":217844,"residue":234},{"from_index":502,"to_index":966,"sum":221543,"residue":229},{"from_index":966,"to_index":1430,"sum":222937,"residue":697},{"from_index":1430,"to_index":1894,"sum":210894,"residue":692},{"from_index":1894,"to_index":2358,"sum":207195,"residue":697},{"from_index":2358,"to_index":38,"sum":204875,"residue":229}],"minimal_cycle":[234,229,697,692,697,229],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[38,502],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-39","shape":"Hexagon","alpha_indices":[39,503,967,1431,1895,2359],"clock_positions":[39,503,967,1431,1895,2359],"native_values":[186,277,649,740,649,277],"rotation_degrees":5.043103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[186,277,649,740,649,277],"beta":{"interval_sums":[217801,221586,222431,210937,207152,205381],"interval_residues":[191,272,191,735,654,735],"display_cycle":[191,272,191,735,654,735],"intervals":[{"from_index":39,"to_index":503,"sum":217801,"residue":191},{"from_index":503,"to_index":967,"sum":221586,"residue":272},{"from_index":967,"to_index":1431,"sum":222431,"residue":191},{"from_index":1431,"to_index":1895,"sum":210937,"residue":735},{"from_index":1895,"to_index":2359,"sum":207152,"residue":654},{"from_index":2359,"to_index":39,"sum":205381,"residue":735}],"minimal_cycle":[191,272,191,735,654,735],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":191,"start_interval_clock_positions":[39,503],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-40","shape":"Hexagon","alpha_indices":[40,504,968,1432,1896,2360],"clock_positions":[40,504,968,1432,1896,2360],"native_values":[43,420,43,883,506,883],"rotation_degrees":5.172413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[43,420,43,883,506,883],"beta":{"interval_sums":[218035,221815,223128,210703,206923,204684],"interval_residues":[425,501,888,501,425,38],"display_cycle":[425,501,888,501,425,38],"intervals":[{"from_index":40,"to_index":504,"sum":218035,"residue":425},{"from_index":504,"to_index":968,"sum":221815,"residue":501},{"from_index":968,"to_index":1432,"sum":223128,"residue":888},{"from_index":1432,"to_index":1896,"sum":210703,"residue":501},{"from_index":1896,"to_index":2360,"sum":206923,"residue":425},{"from_index":2360,"to_index":40,"sum":204684,"residue":38}],"minimal_cycle":[425,501,888,501,425,38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":425,"start_interval_clock_positions":[40,504],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-41","shape":"Hexagon","alpha_indices":[41,505,969,1433,1897,2361],"clock_positions":[41,505,969,1433,1897,2361],"native_values":[229,697,692,697,229,234],"rotation_degrees":5.301724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[229,697,692,697,229,234],"beta":{"interval_sums":[218226,221161,223319,210512,207577,204493],"interval_residues":[616,773,153,310,153,773],"display_cycle":[616,773,153,310,153,773],"intervals":[{"from_index":41,"to_index":505,"sum":218226,"residue":616},{"from_index":505,"to_index":969,"sum":221161,"residue":773},{"from_index":969,"to_index":1433,"sum":223319,"residue":153},{"from_index":1433,"to_index":1897,"sum":210512,"residue":310},{"from_index":1897,"to_index":2361,"sum":207577,"residue":153},{"from_index":2361,"to_index":41,"sum":204493,"residue":773}],"minimal_cycle":[616,773,153,310,153,773],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":616,"start_interval_clock_positions":[41,505],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-42","shape":"Hexagon","alpha_indices":[42,506,970,1434,1898,2362],"clock_positions":[42,506,970,1434,1898,2362],"native_values":[272,191,735,654,735,191],"rotation_degrees":5.431034482758621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[272,191,735,654,735,191],"beta":{"interval_sums":[218651,221662,223281,210087,207076,204531],"interval_residues":[115,348,115,811,578,811],"display_cycle":[115,348,115,811,578,811],"intervals":[{"from_index":42,"to_index":506,"sum":218651,"residue":115},{"from_index":506,"to_index":970,"sum":221662,"residue":348},{"from_index":970,"to_index":1434,"sum":223281,"residue":115},{"from_index":1434,"to_index":1898,"sum":210087,"residue":811},{"from_index":1898,"to_index":2362,"sum":207076,"residue":578},{"from_index":2362,"to_index":42,"sum":204531,"residue":811}],"minimal_cycle":[115,348,115,811,578,811],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":115,"start_interval_clock_positions":[42,506],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-43","shape":"Hexagon","alpha_indices":[43,507,971,1435,1899,2363],"clock_positions":[43,507,971,1435,1899,2363],"native_values":[501,888,501,425,38,425],"rotation_degrees":5.560344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[501,888,501,425,38,425],"beta":{"interval_sums":[218341,221509,223434,210397,207229,204378],"interval_residues":[731,195,268,195,731,658],"display_cycle":[731,195,268,195,731,658],"intervals":[{"from_index":43,"to_index":507,"sum":218341,"residue":731},{"from_index":507,"to_index":971,"sum":221509,"residue":195},{"from_index":971,"to_index":1435,"sum":223434,"residue":268},{"from_index":1435,"to_index":1899,"sum":210397,"residue":195},{"from_index":1899,"to_index":2363,"sum":207229,"residue":731},{"from_index":2363,"to_index":43,"sum":204378,"residue":658}],"minimal_cycle":[731,195,268,195,731,658],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":731,"start_interval_clock_positions":[43,507],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-44","shape":"Hexagon","alpha_indices":[44,508,972,1436,1900,2364],"clock_positions":[44,508,972,1436,1900,2364],"native_values":[773,153,310,153,773,616],"rotation_degrees":5.689655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[773,153,310,153,773,616],"beta":{"interval_sums":[218456,221857,223549,210282,206881,204263],"interval_residues":[846,543,383,80,383,543],"display_cycle":[846,543,383,80,383,543],"intervals":[{"from_index":44,"to_index":508,"sum":218456,"residue":846},{"from_index":508,"to_index":972,"sum":221857,"residue":543},{"from_index":972,"to_index":1436,"sum":223549,"residue":383},{"from_index":1436,"to_index":1900,"sum":210282,"residue":80},{"from_index":1900,"to_index":2364,"sum":206881,"residue":383},{"from_index":2364,"to_index":44,"sum":204263,"residue":543}],"minimal_cycle":[846,543,383,80,383,543],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":846,"start_interval_clock_positions":[44,508],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-45","shape":"Hexagon","alpha_indices":[45,509,973,1437,1901,2365],"clock_positions":[45,509,973,1437,1901,2365],"native_values":[348,115,811,578,811,115],"rotation_degrees":5.818965517241379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[348,115,811,578,811,115],"beta":{"interval_sums":[218261,222052,222891,210477,206686,204921],"interval_residues":[651,738,651,275,188,275],"display_cycle":[651,738,651,275,188,275],"intervals":[{"from_index":45,"to_index":509,"sum":218261,"residue":651},{"from_index":509,"to_index":973,"sum":222052,"residue":738},{"from_index":973,"to_index":1437,"sum":222891,"residue":651},{"from_index":1437,"to_index":1901,"sum":210477,"residue":275},{"from_index":1901,"to_index":2365,"sum":206686,"residue":188},{"from_index":2365,"to_index":45,"sum":204921,"residue":275}],"minimal_cycle":[651,738,651,275,188,275],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":651,"start_interval_clock_positions":[45,509],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-46","shape":"Hexagon","alpha_indices":[46,510,974,1438,1902,2366],"clock_positions":[46,510,974,1438,1902,2366],"native_values":[195,268,195,731,658,731],"rotation_degrees":5.948275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,268,195,731,658,731],"beta":{"interval_sums":[218181,222595,223274,210557,206143,204538],"interval_residues":[571,355,108,355,571,818],"display_cycle":[571,355,108,355,571,818],"intervals":[{"from_index":46,"to_index":510,"sum":218181,"residue":571},{"from_index":510,"to_index":974,"sum":222595,"residue":355},{"from_index":974,"to_index":1438,"sum":223274,"residue":108},{"from_index":1438,"to_index":1902,"sum":210557,"residue":355},{"from_index":1902,"to_index":2366,"sum":206143,"residue":571},{"from_index":2366,"to_index":46,"sum":204538,"residue":818}],"minimal_cycle":[571,355,108,355,571,818],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":571,"start_interval_clock_positions":[46,510],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-47","shape":"Hexagon","alpha_indices":[47,511,975,1439,1903,2367],"clock_positions":[47,511,975,1439,1903,2367],"native_values":[543,383,80,383,543,846],"rotation_degrees":6.077586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[543,383,80,383,543,846],"beta":{"interval_sums":[217906,222407,223925,210832,206331,203887],"interval_residues":[296,167,759,630,759,167],"display_cycle":[296,167,759,630,759,167],"intervals":[{"from_index":47,"to_index":511,"sum":217906,"residue":296},{"from_index":511,"to_index":975,"sum":222407,"residue":167},{"from_index":975,"to_index":1439,"sum":223925,"residue":759},{"from_index":1439,"to_index":1903,"sum":210832,"residue":630},{"from_index":1903,"to_index":2367,"sum":206331,"residue":759},{"from_index":2367,"to_index":47,"sum":203887,"residue":167}],"minimal_cycle":[296,167,759,630,759,167],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[47,511],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-48","shape":"Hexagon","alpha_indices":[48,512,976,1440,1904,2368],"clock_positions":[48,512,976,1440,1904,2368],"native_values":[738,651,275,188,275,651],"rotation_degrees":6.206896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[738,651,275,188,275,651],"beta":{"interval_sums":[217551,221836,224033,211187,206902,203779],"interval_residues":[867,522,867,59,404,59],"display_cycle":[867,522,867,59,404,59],"intervals":[{"from_index":48,"to_index":512,"sum":217551,"residue":867},{"from_index":512,"to_index":976,"sum":221836,"residue":522},{"from_index":976,"to_index":1440,"sum":224033,"residue":867},{"from_index":1440,"to_index":1904,"sum":211187,"residue":59},{"from_index":1904,"to_index":2368,"sum":206902,"residue":404},{"from_index":2368,"to_index":48,"sum":203779,"residue":59}],"minimal_cycle":[867,522,867,59,404,59],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":867,"start_interval_clock_positions":[48,512],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-49","shape":"Hexagon","alpha_indices":[49,513,977,1441,1905,2369],"clock_positions":[49,513,977,1441,1905,2369],"native_values":[355,108,355,571,818,571],"rotation_degrees":6.336206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,108,355,571,818,571],"beta":{"interval_sums":[217847,222003,223866,210891,206735,203946],"interval_residues":[237,689,700,689,237,226],"display_cycle":[237,689,700,689,237,226],"intervals":[{"from_index":49,"to_index":513,"sum":217847,"residue":237},{"from_index":513,"to_index":977,"sum":222003,"residue":689},{"from_index":977,"to_index":1441,"sum":223866,"residue":700},{"from_index":1441,"to_index":1905,"sum":210891,"residue":689},{"from_index":1905,"to_index":2369,"sum":206735,"residue":237},{"from_index":2369,"to_index":49,"sum":203946,"residue":226}],"minimal_cycle":[237,689,700,689,237,226],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":237,"start_interval_clock_positions":[49,513],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-50","shape":"Hexagon","alpha_indices":[50,514,978,1442,1906,2370],"clock_positions":[50,514,978,1442,1906,2370],"native_values":[167,759,630,759,167,296],"rotation_degrees":6.4655172413793105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,759,630,759,167,296],"beta":{"interval_sums":[217788,221599,223807,210950,207139,204005],"interval_residues":[178,285,641,748,641,285],"display_cycle":[178,285,641,748,641,285],"intervals":[{"from_index":50,"to_index":514,"sum":217788,"residue":178},{"from_index":514,"to_index":978,"sum":221599,"residue":285},{"from_index":978,"to_index":1442,"sum":223807,"residue":641},{"from_index":1442,"to_index":1906,"sum":210950,"residue":748},{"from_index":1906,"to_index":2370,"sum":207139,"residue":641},{"from_index":2370,"to_index":50,"sum":204005,"residue":285}],"minimal_cycle":[178,285,641,748,641,285],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":178,"start_interval_clock_positions":[50,514],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-51","shape":"Hexagon","alpha_indices":[51,515,979,1443,1907,2371],"clock_positions":[51,515,979,1443,1907,2371],"native_values":[522,867,59,404,59,867],"rotation_degrees":6.594827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[522,867,59,404,59,867],"beta":{"interval_sums":[218025,221362,224507,210713,207376,203305],"interval_residues":[415,48,415,511,878,511],"display_cycle":[415,48,415,511,878,511],"intervals":[{"from_index":51,"to_index":515,"sum":218025,"residue":415},{"from_index":515,"to_index":979,"sum":221362,"residue":48},{"from_index":979,"to_index":1443,"sum":224507,"residue":415},{"from_index":1443,"to_index":1907,"sum":210713,"residue":511},{"from_index":1907,"to_index":2371,"sum":207376,"residue":878},{"from_index":2371,"to_index":51,"sum":203305,"residue":511}],"minimal_cycle":[415,48,415,511,878,511],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":415,"start_interval_clock_positions":[51,515],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-52","shape":"Hexagon","alpha_indices":[52,516,980,1444,1908,2372],"clock_positions":[52,516,980,1444,1908,2372],"native_values":[689,700,689,237,226,237],"rotation_degrees":6.724137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[689,700,689,237,226,237],"beta":{"interval_sums":[218203,220721,224222,210535,208017,203590],"interval_residues":[593,333,130,333,593,796],"display_cycle":[593,333,130,333,593,796],"intervals":[{"from_index":52,"to_index":516,"sum":218203,"residue":593},{"from_index":516,"to_index":980,"sum":220721,"residue":333},{"from_index":980,"to_index":1444,"sum":224222,"residue":130},{"from_index":1444,"to_index":1908,"sum":210535,"residue":333},{"from_index":1908,"to_index":2372,"sum":208017,"residue":593},{"from_index":2372,"to_index":52,"sum":203590,"residue":796}],"minimal_cycle":[593,333,130,333,593,796],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":593,"start_interval_clock_positions":[52,516],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-53","shape":"Hexagon","alpha_indices":[53,517,981,1445,1909,2373],"clock_positions":[53,517,981,1445,1909,2373],"native_values":[285,641,748,641,285,178],"rotation_degrees":6.853448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[285,641,748,641,285,178],"beta":{"interval_sums":[218618,220769,223711,210120,207969,204101],"interval_residues":[82,381,545,844,545,381],"display_cycle":[82,381,545,844,545,381],"intervals":[{"from_index":53,"to_index":517,"sum":218618,"residue":82},{"from_index":517,"to_index":981,"sum":220769,"residue":381},{"from_index":981,"to_index":1445,"sum":223711,"residue":545},{"from_index":1445,"to_index":1909,"sum":210120,"residue":844},{"from_index":1909,"to_index":2373,"sum":207969,"residue":545},{"from_index":2373,"to_index":53,"sum":204101,"residue":381}],"minimal_cycle":[82,381,545,844,545,381],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[53,517],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-54","shape":"Hexagon","alpha_indices":[54,518,982,1446,1910,2374],"clock_positions":[54,518,982,1446,1910,2374],"native_values":[48,415,511,878,511,415],"rotation_degrees":6.982758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[48,415,511,878,511,415],"beta":{"interval_sums":[219211,221102,223841,209527,207636,203971],"interval_residues":[675,714,675,251,212,251],"display_cycle":[675,714,675,251,212,251],"intervals":[{"from_index":54,"to_index":518,"sum":219211,"residue":675},{"from_index":518,"to_index":982,"sum":221102,"residue":714},{"from_index":982,"to_index":1446,"sum":223841,"residue":675},{"from_index":1446,"to_index":1910,"sum":209527,"residue":251},{"from_index":1910,"to_index":2374,"sum":207636,"residue":212},{"from_index":2374,"to_index":54,"sum":203971,"residue":251}],"minimal_cycle":[675,714,675,251,212,251],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":675,"start_interval_clock_positions":[54,518],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-55","shape":"Hexagon","alpha_indices":[55,519,983,1447,1911,2375],"clock_positions":[55,519,983,1447,1911,2375],"native_values":[333,130,333,593,796,593],"rotation_degrees":7.112068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,130,333,593,796,593],"beta":{"interval_sums":[219293,221483,224386,209445,207255,203426],"interval_residues":[757,169,294,169,757,632],"display_cycle":[757,169,294,169,757,632],"intervals":[{"from_index":55,"to_index":519,"sum":219293,"residue":757},{"from_index":519,"to_index":983,"sum":221483,"residue":169},{"from_index":983,"to_index":1447,"sum":224386,"residue":294},{"from_index":1447,"to_index":1911,"sum":209445,"residue":169},{"from_index":1911,"to_index":2375,"sum":207255,"residue":757},{"from_index":2375,"to_index":55,"sum":203426,"residue":632}],"minimal_cycle":[757,169,294,169,757,632],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":757,"start_interval_clock_positions":[55,519],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-56","shape":"Hexagon","alpha_indices":[56,520,984,1448,1912,2376],"clock_positions":[56,520,984,1448,1912,2376],"native_values":[381,545,844,545,381,82],"rotation_degrees":7.241379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,545,844,545,381,82],"beta":{"interval_sums":[219042,221271,224135,209696,207467,203677],"interval_residues":[506,883,43,420,43,883],"display_cycle":[506,883,43,420,43,883],"intervals":[{"from_index":56,"to_index":520,"sum":219042,"residue":506},{"from_index":520,"to_index":984,"sum":221271,"residue":883},{"from_index":984,"to_index":1448,"sum":224135,"residue":43},{"from_index":1448,"to_index":1912,"sum":209696,"residue":420},{"from_index":1912,"to_index":2376,"sum":207467,"residue":43},{"from_index":2376,"to_index":56,"sum":203677,"residue":883}],"minimal_cycle":[506,883,43,420,43,883],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":506,"start_interval_clock_positions":[56,520],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-57","shape":"Hexagon","alpha_indices":[57,521,985,1449,1913,2377],"clock_positions":[57,521,985,1449,1913,2377],"native_values":[714,675,251,212,251,675],"rotation_degrees":7.370689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[714,675,251,212,251,675],"beta":{"interval_sums":[218873,221440,224429,209865,207298,203383],"interval_residues":[337,126,337,589,800,589],"display_cycle":[337,126,337,589,800,589],"intervals":[{"from_index":57,"to_index":521,"sum":218873,"residue":337},{"from_index":521,"to_index":985,"sum":221440,"residue":126},{"from_index":985,"to_index":1449,"sum":224429,"residue":337},{"from_index":1449,"to_index":1913,"sum":209865,"residue":589},{"from_index":1913,"to_index":2377,"sum":207298,"residue":800},{"from_index":2377,"to_index":57,"sum":203383,"residue":589}],"minimal_cycle":[337,126,337,589,800,589],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":337,"start_interval_clock_positions":[57,521],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-58","shape":"Hexagon","alpha_indices":[58,522,986,1450,1914,2378],"clock_positions":[58,522,986,1450,1914,2378],"native_values":[169,294,169,757,632,757],"rotation_degrees":7.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,294,169,757,632,757],"beta":{"interval_sums":[219379,221397,224472,209359,207341,203340],"interval_residues":[843,83,380,83,843,546],"display_cycle":[843,83,380,83,843,546],"intervals":[{"from_index":58,"to_index":522,"sum":219379,"residue":843},{"from_index":522,"to_index":986,"sum":221397,"residue":83},{"from_index":986,"to_index":1450,"sum":224472,"residue":380},{"from_index":1450,"to_index":1914,"sum":209359,"residue":83},{"from_index":1914,"to_index":2378,"sum":207341,"residue":843},{"from_index":2378,"to_index":58,"sum":203340,"residue":546}],"minimal_cycle":[843,83,380,83,843,546],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":843,"start_interval_clock_positions":[58,522],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-59","shape":"Hexagon","alpha_indices":[59,523,987,1451,1915,2379],"clock_positions":[59,523,987,1451,1915,2379],"native_values":[883,43,420,43,883,506],"rotation_degrees":7.629310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[883,43,420,43,883,506],"beta":{"interval_sums":[218790,221523,224809,209948,207215,203003],"interval_residues":[254,209,717,672,717,209],"display_cycle":[254,209,717,672,717,209],"intervals":[{"from_index":59,"to_index":523,"sum":218790,"residue":254},{"from_index":523,"to_index":987,"sum":221523,"residue":209},{"from_index":987,"to_index":1451,"sum":224809,"residue":717},{"from_index":1451,"to_index":1915,"sum":209948,"residue":672},{"from_index":1915,"to_index":2379,"sum":207215,"residue":717},{"from_index":2379,"to_index":59,"sum":203003,"residue":209}],"minimal_cycle":[254,209,717,672,717,209],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":254,"start_interval_clock_positions":[59,523],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-60","shape":"Hexagon","alpha_indices":[60,524,988,1452,1916,2380],"clock_positions":[60,524,988,1452,1916,2380],"native_values":[126,337,589,800,589,337],"rotation_degrees":7.758620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[126,337,589,800,589,337],"beta":{"interval_sums":[218707,221606,224263,210031,207132,203549],"interval_residues":[171,292,171,755,634,755],"display_cycle":[171,292,171,755,634,755],"intervals":[{"from_index":60,"to_index":524,"sum":218707,"residue":171},{"from_index":524,"to_index":988,"sum":221606,"residue":292},{"from_index":988,"to_index":1452,"sum":224263,"residue":171},{"from_index":1452,"to_index":1916,"sum":210031,"residue":755},{"from_index":1916,"to_index":2380,"sum":207132,"residue":634},{"from_index":2380,"to_index":60,"sum":203549,"residue":755}],"minimal_cycle":[171,292,171,755,634,755],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":171,"start_interval_clock_positions":[60,524],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-61","shape":"Hexagon","alpha_indices":[61,525,989,1453,1917,2381],"clock_positions":[61,525,989,1453,1917,2381],"native_values":[83,380,83,843,546,843],"rotation_degrees":7.887931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[83,380,83,843,546,843],"beta":{"interval_sums":[218961,221815,224980,209777,206923,202832],"interval_residues":[425,501,888,501,425,38],"display_cycle":[425,501,888,501,425,38],"intervals":[{"from_index":61,"to_index":525,"sum":218961,"residue":425},{"from_index":525,"to_index":989,"sum":221815,"residue":501},{"from_index":989,"to_index":1453,"sum":224980,"residue":888},{"from_index":1453,"to_index":1917,"sum":209777,"residue":501},{"from_index":1917,"to_index":2381,"sum":206923,"residue":425},{"from_index":2381,"to_index":61,"sum":202832,"residue":38}],"minimal_cycle":[425,501,888,501,425,38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":425,"start_interval_clock_positions":[61,525],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-62","shape":"Hexagon","alpha_indices":[62,526,990,1454,1918,2382],"clock_positions":[62,526,990,1454,1918,2382],"native_values":[209,717,672,717,209,254],"rotation_degrees":8.017241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,717,672,717,209,254],"beta":{"interval_sums":[219132,221181,225151,209606,207557,202661],"interval_residues":[596,793,133,330,133,793],"display_cycle":[596,793,133,330,133,793],"intervals":[{"from_index":62,"to_index":526,"sum":219132,"residue":596},{"from_index":526,"to_index":990,"sum":221181,"residue":793},{"from_index":990,"to_index":1454,"sum":225151,"residue":133},{"from_index":1454,"to_index":1918,"sum":209606,"residue":330},{"from_index":1918,"to_index":2382,"sum":207557,"residue":133},{"from_index":2382,"to_index":62,"sum":202661,"residue":793}],"minimal_cycle":[596,793,133,330,133,793],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":596,"start_interval_clock_positions":[62,526],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-63","shape":"Hexagon","alpha_indices":[63,527,991,1455,1919,2383],"clock_positions":[63,527,991,1455,1919,2383],"native_values":[292,171,755,634,755,171],"rotation_degrees":8.14655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,171,755,634,755,171],"beta":{"interval_sums":[219557,221682,225113,209181,207056,202699],"interval_residues":[95,368,95,831,558,831],"display_cycle":[95,368,95,831,558,831],"intervals":[{"from_index":63,"to_index":527,"sum":219557,"residue":95},{"from_index":527,"to_index":991,"sum":221682,"residue":368},{"from_index":991,"to_index":1455,"sum":225113,"residue":95},{"from_index":1455,"to_index":1919,"sum":209181,"residue":831},{"from_index":1919,"to_index":2383,"sum":207056,"residue":558},{"from_index":2383,"to_index":63,"sum":202699,"residue":831}],"minimal_cycle":[95,368,95,831,558,831],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":95,"start_interval_clock_positions":[63,527],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-64","shape":"Hexagon","alpha_indices":[64,528,992,1456,1920,2384],"clock_positions":[64,528,992,1456,1920,2384],"native_values":[501,888,501,425,38,425],"rotation_degrees":8.275862068965518,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[501,888,501,425,38,425],"beta":{"interval_sums":[219227,221549,225246,209511,207189,202566],"interval_residues":[691,235,228,235,691,698],"display_cycle":[691,235,228,235,691,698],"intervals":[{"from_index":64,"to_index":528,"sum":219227,"residue":691},{"from_index":528,"to_index":992,"sum":221549,"residue":235},{"from_index":992,"to_index":1456,"sum":225246,"residue":228},{"from_index":1456,"to_index":1920,"sum":209511,"residue":235},{"from_index":1920,"to_index":2384,"sum":207189,"residue":691},{"from_index":2384,"to_index":64,"sum":202566,"residue":698}],"minimal_cycle":[691,235,228,235,691,698],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":691,"start_interval_clock_positions":[64,528],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-65","shape":"Hexagon","alpha_indices":[65,529,993,1457,1921,2385],"clock_positions":[65,529,993,1457,1921,2385],"native_values":[793,133,330,133,793,596],"rotation_degrees":8.405172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[793,133,330,133,793,596],"beta":{"interval_sums":[219322,221917,225341,209416,206821,202471],"interval_residues":[786,603,323,140,323,603],"display_cycle":[786,603,323,140,323,603],"intervals":[{"from_index":65,"to_index":529,"sum":219322,"residue":786},{"from_index":529,"to_index":993,"sum":221917,"residue":603},{"from_index":993,"to_index":1457,"sum":225341,"residue":323},{"from_index":1457,"to_index":1921,"sum":209416,"residue":140},{"from_index":1921,"to_index":2385,"sum":206821,"residue":323},{"from_index":2385,"to_index":65,"sum":202471,"residue":603}],"minimal_cycle":[786,603,323,140,323,603],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":786,"start_interval_clock_positions":[65,529],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-66","shape":"Hexagon","alpha_indices":[66,530,994,1458,1922,2386],"clock_positions":[66,530,994,1458,1922,2386],"native_values":[368,95,831,558,831,95],"rotation_degrees":8.53448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[368,95,831,558,831,95],"beta":{"interval_sums":[219087,222152,224643,209651,206586,203169],"interval_residues":[551,838,551,375,88,375],"display_cycle":[551,838,551,375,88,375],"intervals":[{"from_index":66,"to_index":530,"sum":219087,"residue":551},{"from_index":530,"to_index":994,"sum":222152,"residue":838},{"from_index":994,"to_index":1458,"sum":224643,"residue":551},{"from_index":1458,"to_index":1922,"sum":209651,"residue":375},{"from_index":1922,"to_index":2386,"sum":206586,"residue":88},{"from_index":2386,"to_index":66,"sum":203169,"residue":375}],"minimal_cycle":[551,838,551,375,88,375],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":551,"start_interval_clock_positions":[66,530],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-67","shape":"Hexagon","alpha_indices":[67,531,995,1459,1923,2387],"clock_positions":[67,531,995,1459,1923,2387],"native_values":[235,228,235,691,698,691],"rotation_degrees":8.663793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,228,235,691,698,691],"beta":{"interval_sums":[218947,222755,224966,209791,205983,202846],"interval_residues":[411,515,874,515,411,52],"display_cycle":[411,515,874,515,411,52],"intervals":[{"from_index":67,"to_index":531,"sum":218947,"residue":411},{"from_index":531,"to_index":995,"sum":222755,"residue":515},{"from_index":995,"to_index":1459,"sum":224966,"residue":874},{"from_index":1459,"to_index":1923,"sum":209791,"residue":515},{"from_index":1923,"to_index":2387,"sum":205983,"residue":411},{"from_index":2387,"to_index":67,"sum":202846,"residue":52}],"minimal_cycle":[411,515,874,515,411,52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":411,"start_interval_clock_positions":[67,531],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-68","shape":"Hexagon","alpha_indices":[68,532,996,1460,1924,2388],"clock_positions":[68,532,996,1460,1924,2388],"native_values":[603,323,140,323,603,786],"rotation_degrees":8.793103448275861,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[603,323,140,323,603,786],"beta":{"interval_sums":[218572,222667,225517,210166,206071,202295],"interval_residues":[36,427,499,890,499,427],"display_cycle":[36,427,499,890,499,427],"intervals":[{"from_index":68,"to_index":532,"sum":218572,"residue":36},{"from_index":532,"to_index":996,"sum":222667,"residue":427},{"from_index":996,"to_index":1460,"sum":225517,"residue":499},{"from_index":1460,"to_index":1924,"sum":210166,"residue":890},{"from_index":1924,"to_index":2388,"sum":206071,"residue":499},{"from_index":2388,"to_index":68,"sum":202295,"residue":427}],"minimal_cycle":[36,427,499,890,499,427],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[68,532],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-69","shape":"Hexagon","alpha_indices":[69,533,997,1461,1925,2389],"clock_positions":[69,533,997,1461,1925,2389],"native_values":[838,551,375,88,375,551],"rotation_degrees":8.922413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[838,551,375,88,375,551],"beta":{"interval_sums":[218057,222256,225465,210681,206482,202347],"interval_residues":[447,16,447,479,910,479],"display_cycle":[447,16,447,479,910,479],"intervals":[{"from_index":69,"to_index":533,"sum":218057,"residue":447},{"from_index":533,"to_index":997,"sum":222256,"residue":16},{"from_index":997,"to_index":1461,"sum":225465,"residue":447},{"from_index":1461,"to_index":1925,"sum":210681,"residue":479},{"from_index":1925,"to_index":2389,"sum":206482,"residue":910},{"from_index":2389,"to_index":69,"sum":202347,"residue":479}],"minimal_cycle":[447,16,447,479,910,479],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":447,"start_interval_clock_positions":[69,533],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-70","shape":"Hexagon","alpha_indices":[70,534,998,1462,1926,2390],"clock_positions":[70,534,998,1462,1926,2390],"native_values":[515,874,515,411,52,411],"rotation_degrees":9.051724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[515,874,515,411,52,411],"beta":{"interval_sums":[218093,221757,225038,210645,206981,202774],"interval_residues":[483,443,20,443,483,906],"display_cycle":[483,443,20,443,483,906],"intervals":[{"from_index":70,"to_index":534,"sum":218093,"residue":483},{"from_index":534,"to_index":998,"sum":221757,"residue":443},{"from_index":998,"to_index":1462,"sum":225038,"residue":20},{"from_index":1462,"to_index":1926,"sum":210645,"residue":443},{"from_index":1926,"to_index":2390,"sum":206981,"residue":483},{"from_index":2390,"to_index":70,"sum":202774,"residue":906}],"minimal_cycle":[483,443,20,443,483,906],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":483,"start_interval_clock_positions":[70,534],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-71","shape":"Hexagon","alpha_indices":[71,535,999,1463,1927,2391],"clock_positions":[71,535,999,1463,1927,2391],"native_values":[427,499,890,499,427,36],"rotation_degrees":9.181034482758621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[427,499,890,499,427,36],"beta":{"interval_sums":[218540,221773,224559,210198,206965,203253],"interval_residues":[4,459,467,922,467,459],"display_cycle":[4,459,467,922,467,459],"intervals":[{"from_index":71,"to_index":535,"sum":218540,"residue":4},{"from_index":535,"to_index":999,"sum":221773,"residue":459},{"from_index":999,"to_index":1463,"sum":224559,"residue":467},{"from_index":1463,"to_index":1927,"sum":210198,"residue":922},{"from_index":1927,"to_index":2391,"sum":206965,"residue":467},{"from_index":2391,"to_index":71,"sum":203253,"residue":459}],"minimal_cycle":[4,459,467,922,467,459],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[71,535],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-72","shape":"Hexagon","alpha_indices":[72,536,1000,1464,1928,2392],"clock_positions":[72,536,1000,1464,1928,2392],"native_values":[16,447,479,910,479,447],"rotation_degrees":9.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[16,447,479,910,479,447],"beta":{"interval_sums":[219023,222216,224579,209715,206522,203233],"interval_residues":[487,902,487,439,24,439],"display_cycle":[487,902,487,439,24,439],"intervals":[{"from_index":72,"to_index":536,"sum":219023,"residue":487},{"from_index":536,"to_index":1000,"sum":222216,"residue":902},{"from_index":1000,"to_index":1464,"sum":224579,"residue":487},{"from_index":1464,"to_index":1928,"sum":209715,"residue":439},{"from_index":1928,"to_index":2392,"sum":206522,"residue":24},{"from_index":2392,"to_index":72,"sum":203233,"residue":439}],"minimal_cycle":[487,902,487,439,24,439],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":487,"start_interval_clock_positions":[72,536],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-73","shape":"Hexagon","alpha_indices":[73,537,1001,1465,1929,2393],"clock_positions":[73,537,1001,1465,1929,2393],"native_values":[443,20,443,483,906,483],"rotation_degrees":9.439655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,20,443,483,906,483],"beta":{"interval_sums":[219027,222675,225046,209711,206063,202766],"interval_residues":[491,435,28,435,491,898],"display_cycle":[491,435,28,435,491,898],"intervals":[{"from_index":73,"to_index":537,"sum":219027,"residue":491},{"from_index":537,"to_index":1001,"sum":222675,"residue":435},{"from_index":1001,"to_index":1465,"sum":225046,"residue":28},{"from_index":1465,"to_index":1929,"sum":209711,"residue":435},{"from_index":1929,"to_index":2393,"sum":206063,"residue":491},{"from_index":2393,"to_index":73,"sum":202766,"residue":898}],"minimal_cycle":[491,435,28,435,491,898],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":491,"start_interval_clock_positions":[73,537],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-74","shape":"Hexagon","alpha_indices":[74,538,1002,1466,1930,2394],"clock_positions":[74,538,1002,1466,1930,2394],"native_values":[459,467,922,467,459,4],"rotation_degrees":9.568965517241379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[459,467,922,467,459,4],"beta":{"interval_sums":[218588,222651,224607,210150,206087,203205],"interval_residues":[52,411,515,874,515,411],"display_cycle":[52,411,515,874,515,411],"intervals":[{"from_index":74,"to_index":538,"sum":218588,"residue":52},{"from_index":538,"to_index":1002,"sum":222651,"residue":411},{"from_index":1002,"to_index":1466,"sum":224607,"residue":515},{"from_index":1466,"to_index":1930,"sum":210150,"residue":874},{"from_index":1930,"to_index":2394,"sum":206087,"residue":515},{"from_index":2394,"to_index":74,"sum":203205,"residue":411}],"minimal_cycle":[52,411,515,874,515,411],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[74,538],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-75","shape":"Hexagon","alpha_indices":[75,539,1003,1467,1931,2395],"clock_positions":[75,539,1003,1467,1931,2395],"native_values":[902,487,439,24,439,487],"rotation_degrees":9.698275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[902,487,439,24,439,487],"beta":{"interval_sums":[218153,223086,224635,210585,205652,203177],"interval_residues":[543,846,543,383,80,383],"display_cycle":[543,846,543,383,80,383],"intervals":[{"from_index":75,"to_index":539,"sum":218153,"residue":543},{"from_index":539,"to_index":1003,"sum":223086,"residue":846},{"from_index":1003,"to_index":1467,"sum":224635,"residue":543},{"from_index":1467,"to_index":1931,"sum":210585,"residue":383},{"from_index":1931,"to_index":2395,"sum":205652,"residue":80},{"from_index":2395,"to_index":75,"sum":203177,"residue":383}],"minimal_cycle":[543,846,543,383,80,383],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":543,"start_interval_clock_positions":[75,539],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-76","shape":"Hexagon","alpha_indices":[76,540,1004,1468,1932,2396],"clock_positions":[76,540,1004,1468,1932,2396],"native_values":[435,28,435,491,898,491],"rotation_degrees":9.827586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[435,28,435,491,898,491],"beta":{"interval_sums":[218205,223497,224224,210533,205241,203588],"interval_residues":[595,331,132,331,595,794],"display_cycle":[595,331,132,331,595,794],"intervals":[{"from_index":76,"to_index":540,"sum":218205,"residue":595},{"from_index":540,"to_index":1004,"sum":223497,"residue":331},{"from_index":1004,"to_index":1468,"sum":224224,"residue":132},{"from_index":1468,"to_index":1932,"sum":210533,"residue":331},{"from_index":1932,"to_index":2396,"sum":205241,"residue":595},{"from_index":2396,"to_index":76,"sum":203588,"residue":794}],"minimal_cycle":[595,331,132,331,595,794],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":595,"start_interval_clock_positions":[76,540],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-77","shape":"Hexagon","alpha_indices":[77,541,1005,1469,1933,2397],"clock_positions":[77,541,1005,1469,1933,2397],"native_values":[411,515,874,515,411,52],"rotation_degrees":9.956896551724139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[411,515,874,515,411,52],"beta":{"interval_sums":[217822,223417,223841,210916,205321,203971],"interval_residues":[212,251,675,714,675,251],"display_cycle":[212,251,675,714,675,251],"intervals":[{"from_index":77,"to_index":541,"sum":217822,"residue":212},{"from_index":541,"to_index":1005,"sum":223417,"residue":251},{"from_index":1005,"to_index":1469,"sum":223841,"residue":675},{"from_index":1469,"to_index":1933,"sum":210916,"residue":714},{"from_index":1933,"to_index":2397,"sum":205321,"residue":675},{"from_index":2397,"to_index":77,"sum":203971,"residue":251}],"minimal_cycle":[212,251,675,714,675,251],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":212,"start_interval_clock_positions":[77,541],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-78","shape":"Hexagon","alpha_indices":[78,542,1006,1470,1934,2398],"clock_positions":[78,542,1006,1470,1934,2398],"native_values":[846,543,383,80,383,543],"rotation_degrees":10.086206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[846,543,383,80,383,543],"beta":{"interval_sums":[217491,223748,223973,211247,204990,203839],"interval_residues":[807,582,807,119,344,119],"display_cycle":[807,582,807,119,344,119],"intervals":[{"from_index":78,"to_index":542,"sum":217491,"residue":807},{"from_index":542,"to_index":1006,"sum":223748,"residue":582},{"from_index":1006,"to_index":1470,"sum":223973,"residue":807},{"from_index":1470,"to_index":1934,"sum":211247,"residue":119},{"from_index":1934,"to_index":2398,"sum":204990,"residue":344},{"from_index":2398,"to_index":78,"sum":203839,"residue":119}],"minimal_cycle":[807,582,807,119,344,119],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":807,"start_interval_clock_positions":[78,542],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-79","shape":"Hexagon","alpha_indices":[79,543,1007,1471,1935,2399],"clock_positions":[79,543,1007,1471,1935,2399],"native_values":[331,132,331,595,794,595],"rotation_degrees":10.21551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,132,331,595,794,595],"beta":{"interval_sums":[217703,223999,223722,211035,204739,204090],"interval_residues":[93,833,556,833,93,370],"display_cycle":[93,833,556,833,93,370],"intervals":[{"from_index":79,"to_index":543,"sum":217703,"residue":93},{"from_index":543,"to_index":1007,"sum":223999,"residue":833},{"from_index":1007,"to_index":1471,"sum":223722,"residue":556},{"from_index":1471,"to_index":1935,"sum":211035,"residue":833},{"from_index":1935,"to_index":2399,"sum":204739,"residue":93},{"from_index":2399,"to_index":79,"sum":204090,"residue":370}],"minimal_cycle":[93,833,556,833,93,370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":93,"start_interval_clock_positions":[79,543],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-80","shape":"Hexagon","alpha_indices":[80,544,1008,1472,1936,2400],"clock_positions":[80,544,1008,1472,1936,2400],"native_values":[251,675,714,675,251,212],"rotation_degrees":10.344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[251,675,714,675,251,212],"beta":{"interval_sums":[217584,223655,223603,211154,205083,204209],"interval_residues":[900,489,437,26,437,489],"display_cycle":[900,489,437,26,437,489],"intervals":[{"from_index":80,"to_index":544,"sum":217584,"residue":900},{"from_index":544,"to_index":1008,"sum":223655,"residue":489},{"from_index":1008,"to_index":1472,"sum":223603,"residue":437},{"from_index":1472,"to_index":1936,"sum":211154,"residue":26},{"from_index":1936,"to_index":2400,"sum":205083,"residue":437},{"from_index":2400,"to_index":80,"sum":204209,"residue":489}],"minimal_cycle":[900,489,437,26,437,489],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":900,"start_interval_clock_positions":[80,544],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-81","shape":"Hexagon","alpha_indices":[81,545,1009,1473,1937,2401],"clock_positions":[81,545,1009,1473,1937,2401],"native_values":[582,807,119,344,119,807],"rotation_degrees":10.474137931034482,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[582,807,119,344,119,807],"beta":{"interval_sums":[217677,223562,224159,211061,205176,203653],"interval_residues":[67,396,67,859,530,859],"display_cycle":[67,396,67,859,530,859],"intervals":[{"from_index":81,"to_index":545,"sum":217677,"residue":67},{"from_index":545,"to_index":1009,"sum":223562,"residue":396},{"from_index":1009,"to_index":1473,"sum":224159,"residue":67},{"from_index":1473,"to_index":1937,"sum":211061,"residue":859},{"from_index":1937,"to_index":2401,"sum":205176,"residue":530},{"from_index":2401,"to_index":81,"sum":203653,"residue":859}],"minimal_cycle":[67,396,67,859,530,859],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":67,"start_interval_clock_positions":[81,545],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-82","shape":"Hexagon","alpha_indices":[82,546,1010,1474,1938,2402],"clock_positions":[82,546,1010,1474,1938,2402],"native_values":[833,556,833,93,370,93],"rotation_degrees":10.60344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[833,556,833,93,370,93],"beta":{"interval_sums":[217651,223125,223670,211087,205613,204142],"interval_residues":[41,885,504,885,41,422],"display_cycle":[41,885,504,885,41,422],"intervals":[{"from_index":82,"to_index":546,"sum":217651,"residue":41},{"from_index":546,"to_index":1010,"sum":223125,"residue":885},{"from_index":1010,"to_index":1474,"sum":223670,"residue":504},{"from_index":1474,"to_index":1938,"sum":211087,"residue":885},{"from_index":1938,"to_index":2402,"sum":205613,"residue":41},{"from_index":2402,"to_index":82,"sum":204142,"residue":422}],"minimal_cycle":[41,885,504,885,41,422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":41,"start_interval_clock_positions":[82,546],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-83","shape":"Hexagon","alpha_indices":[83,547,1011,1475,1939,2403],"clock_positions":[83,547,1011,1475,1939,2403],"native_values":[489,437,26,437,489,900],"rotation_degrees":10.732758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[489,437,26,437,489,900],"beta":{"interval_sums":[217718,223521,223737,211020,205217,204075],"interval_residues":[108,355,571,818,571,355],"display_cycle":[108,355,571,818,571,355],"intervals":[{"from_index":83,"to_index":547,"sum":217718,"residue":108},{"from_index":547,"to_index":1011,"sum":223521,"residue":355},{"from_index":1011,"to_index":1475,"sum":223737,"residue":571},{"from_index":1475,"to_index":1939,"sum":211020,"residue":818},{"from_index":1939,"to_index":2403,"sum":205217,"residue":571},{"from_index":2403,"to_index":83,"sum":204075,"residue":355}],"minimal_cycle":[108,355,571,818,571,355],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":108,"start_interval_clock_positions":[83,547],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-84","shape":"Hexagon","alpha_indices":[84,548,1012,1476,1940,2404],"clock_positions":[84,548,1012,1476,1940,2404],"native_values":[396,67,859,530,859,67],"rotation_degrees":10.862068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[396,67,859,530,859,67],"beta":{"interval_sums":[217759,223480,223315,210979,205258,204497],"interval_residues":[149,314,149,777,612,777],"display_cycle":[149,314,149,777,612,777],"intervals":[{"from_index":84,"to_index":548,"sum":217759,"residue":149},{"from_index":548,"to_index":1012,"sum":223480,"residue":314},{"from_index":1012,"to_index":1476,"sum":223315,"residue":149},{"from_index":1476,"to_index":1940,"sum":210979,"residue":777},{"from_index":1940,"to_index":2404,"sum":205258,"residue":612},{"from_index":2404,"to_index":84,"sum":204497,"residue":777}],"minimal_cycle":[149,314,149,777,612,777],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":149,"start_interval_clock_positions":[84,548],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-85","shape":"Hexagon","alpha_indices":[85,549,1013,1477,1941,2405],"clock_positions":[85,549,1013,1477,1941,2405],"native_values":[885,504,885,41,422,41],"rotation_degrees":10.991379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[885,504,885,41,422,41],"beta":{"interval_sums":[216941,223835,222960,211797,204903,204852],"interval_residues":[257,669,720,669,257,206],"display_cycle":[257,669,720,669,257,206],"intervals":[{"from_index":85,"to_index":549,"sum":216941,"residue":257},{"from_index":549,"to_index":1013,"sum":223835,"residue":669},{"from_index":1013,"to_index":1477,"sum":222960,"residue":720},{"from_index":1477,"to_index":1941,"sum":211797,"residue":669},{"from_index":1941,"to_index":2405,"sum":204903,"residue":257},{"from_index":2405,"to_index":85,"sum":204852,"residue":206}],"minimal_cycle":[257,669,720,669,257,206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":257,"start_interval_clock_positions":[85,549],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-86","shape":"Hexagon","alpha_indices":[86,550,1014,1478,1942,2406],"clock_positions":[86,550,1014,1478,1942,2406],"native_values":[355,571,818,571,355,108],"rotation_degrees":11.120689655172415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,571,818,571,355,108],"beta":{"interval_sums":[217090,224149,222183,211648,204589,205629],"interval_residues":[406,57,869,520,869,57],"display_cycle":[406,57,869,520,869,57],"intervals":[{"from_index":86,"to_index":550,"sum":217090,"residue":406},{"from_index":550,"to_index":1014,"sum":224149,"residue":57},{"from_index":1014,"to_index":1478,"sum":222183,"residue":869},{"from_index":1478,"to_index":1942,"sum":211648,"residue":520},{"from_index":1942,"to_index":2406,"sum":204589,"residue":869},{"from_index":2406,"to_index":86,"sum":205629,"residue":57}],"minimal_cycle":[406,57,869,520,869,57],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[86,550],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-87","shape":"Hexagon","alpha_indices":[87,551,1015,1479,1943,2407],"clock_positions":[87,551,1015,1479,1943,2407],"native_values":[314,149,777,612,777,149],"rotation_degrees":11.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[314,149,777,612,777,149],"beta":{"interval_sums":[217347,224818,221977,211391,203920,205835],"interval_residues":[663,726,663,263,200,263],"display_cycle":[663,726,663,263,200,263],"intervals":[{"from_index":87,"to_index":551,"sum":217347,"residue":663},{"from_index":551,"to_index":1015,"sum":224818,"residue":726},{"from_index":1015,"to_index":1479,"sum":221977,"residue":663},{"from_index":1479,"to_index":1943,"sum":211391,"residue":263},{"from_index":1943,"to_index":2407,"sum":203920,"residue":200},{"from_index":2407,"to_index":87,"sum":205835,"residue":263}],"minimal_cycle":[663,726,663,263,200,263],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":663,"start_interval_clock_positions":[87,551],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-88","shape":"Hexagon","alpha_indices":[88,552,1016,1480,1944,2408],"clock_positions":[88,552,1016,1480,1944,2408],"native_values":[669,720,669,257,206,257],"rotation_degrees":11.379310344827585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,720,669,257,206,257],"beta":{"interval_sums":[216827,224875,221920,211911,203863,205892],"interval_residues":[143,783,606,783,143,320],"display_cycle":[143,783,606,783,143,320],"intervals":[{"from_index":88,"to_index":552,"sum":216827,"residue":143},{"from_index":552,"to_index":1016,"sum":224875,"residue":783},{"from_index":1016,"to_index":1480,"sum":221920,"residue":606},{"from_index":1480,"to_index":1944,"sum":211911,"residue":783},{"from_index":1944,"to_index":2408,"sum":203863,"residue":143},{"from_index":2408,"to_index":88,"sum":205892,"residue":320}],"minimal_cycle":[143,783,606,783,143,320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":143,"start_interval_clock_positions":[88,552],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-89","shape":"Hexagon","alpha_indices":[89,553,1017,1481,1945,2409],"clock_positions":[89,553,1017,1481,1945,2409],"native_values":[57,869,520,869,57,406],"rotation_degrees":11.508620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,869,520,869,57,406],"beta":{"interval_sums":[217490,224675,221657,211248,204063,206155],"interval_residues":[806,583,343,120,343,583],"display_cycle":[806,583,343,120,343,583],"intervals":[{"from_index":89,"to_index":553,"sum":217490,"residue":806},{"from_index":553,"to_index":1017,"sum":224675,"residue":583},{"from_index":1017,"to_index":1481,"sum":221657,"residue":343},{"from_index":1481,"to_index":1945,"sum":211248,"residue":120},{"from_index":1945,"to_index":2409,"sum":204063,"residue":343},{"from_index":2409,"to_index":89,"sum":206155,"residue":583}],"minimal_cycle":[806,583,343,120,343,583],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":806,"start_interval_clock_positions":[89,553],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-90","shape":"Hexagon","alpha_indices":[90,554,1018,1482,1946,2410],"clock_positions":[90,554,1018,1482,1946,2410],"native_values":[726,663,263,200,263,663],"rotation_degrees":11.637931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[726,663,263,200,263,663],"beta":{"interval_sums":[217633,224532,222263,211105,204206,205549],"interval_residues":[23,440,23,903,486,903],"display_cycle":[23,440,23,903,486,903],"intervals":[{"from_index":90,"to_index":554,"sum":217633,"residue":23},{"from_index":554,"to_index":1018,"sum":224532,"residue":440},{"from_index":1018,"to_index":1482,"sum":222263,"residue":23},{"from_index":1482,"to_index":1946,"sum":211105,"residue":903},{"from_index":1946,"to_index":2410,"sum":204206,"residue":486},{"from_index":2410,"to_index":90,"sum":205549,"residue":903}],"minimal_cycle":[23,440,23,903,486,903],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":23,"start_interval_clock_positions":[90,554],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-91","shape":"Hexagon","alpha_indices":[91,555,1019,1483,1947,2411],"clock_positions":[91,555,1019,1483,1947,2411],"native_values":[783,606,783,143,320,143],"rotation_degrees":11.767241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[783,606,783,143,320,143],"beta":{"interval_sums":[217513,224189,221680,211225,204549,206132],"interval_residues":[829,97,366,97,829,560],"display_cycle":[829,97,366,97,829,560],"intervals":[{"from_index":91,"to_index":555,"sum":217513,"residue":829},{"from_index":555,"to_index":1019,"sum":224189,"residue":97},{"from_index":1019,"to_index":1483,"sum":221680,"residue":366},{"from_index":1483,"to_index":1947,"sum":211225,"residue":97},{"from_index":1947,"to_index":2411,"sum":204549,"residue":829},{"from_index":2411,"to_index":91,"sum":206132,"residue":560}],"minimal_cycle":[829,97,366,97,829,560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":829,"start_interval_clock_positions":[91,555],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-92","shape":"Hexagon","alpha_indices":[92,556,1020,1484,1948,2412],"clock_positions":[92,556,1020,1484,1948,2412],"native_values":[583,343,120,343,583,806],"rotation_degrees":11.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[583,343,120,343,583,806],"beta":{"interval_sums":[217536,224629,221703,211202,204109,206109],"interval_residues":[852,537,389,74,389,537],"display_cycle":[852,537,389,74,389,537],"intervals":[{"from_index":92,"to_index":556,"sum":217536,"residue":852},{"from_index":556,"to_index":1020,"sum":224629,"residue":537},{"from_index":1020,"to_index":1484,"sum":221703,"residue":389},{"from_index":1484,"to_index":1948,"sum":211202,"residue":74},{"from_index":1948,"to_index":2412,"sum":204109,"residue":389},{"from_index":2412,"to_index":92,"sum":206109,"residue":537}],"minimal_cycle":[852,537,389,74,389,537],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":852,"start_interval_clock_positions":[92,556],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-93","shape":"Hexagon","alpha_indices":[93,557,1021,1485,1949,2413],"clock_positions":[93,557,1021,1485,1949,2413],"native_values":[440,23,903,486,903,23],"rotation_degrees":12.025862068965518,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[440,23,903,486,903,23],"beta":{"interval_sums":[217439,224726,221143,211299,204012,206669],"interval_residues":[755,634,755,171,292,171],"display_cycle":[755,634,755,171,292,171],"intervals":[{"from_index":93,"to_index":557,"sum":217439,"residue":755},{"from_index":557,"to_index":1021,"sum":224726,"residue":634},{"from_index":1021,"to_index":1485,"sum":221143,"residue":755},{"from_index":1485,"to_index":1949,"sum":211299,"residue":171},{"from_index":1949,"to_index":2413,"sum":204012,"residue":292},{"from_index":2413,"to_index":93,"sum":206669,"residue":171}],"minimal_cycle":[755,634,755,171,292,171],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":755,"start_interval_clock_positions":[93,557],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-94","shape":"Hexagon","alpha_indices":[94,558,1022,1486,1950,2414],"clock_positions":[94,558,1022,1486,1950,2414],"native_values":[97,366,97,829,560,829],"rotation_degrees":12.155172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[97,366,97,829,560,829],"beta":{"interval_sums":[217365,225263,221532,211373,203475,206280],"interval_residues":[681,245,218,245,681,708],"display_cycle":[681,245,218,245,681,708],"intervals":[{"from_index":94,"to_index":558,"sum":217365,"residue":681},{"from_index":558,"to_index":1022,"sum":225263,"residue":245},{"from_index":1022,"to_index":1486,"sum":221532,"residue":218},{"from_index":1486,"to_index":1950,"sum":211373,"residue":245},{"from_index":1950,"to_index":2414,"sum":203475,"residue":681},{"from_index":2414,"to_index":94,"sum":206280,"residue":708}],"minimal_cycle":[681,245,218,245,681,708],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":681,"start_interval_clock_positions":[94,558],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-95","shape":"Hexagon","alpha_indices":[95,559,1023,1487,1951,2415],"clock_positions":[95,559,1023,1487,1951,2415],"native_values":[537,389,74,389,537,852],"rotation_degrees":12.28448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[537,389,74,389,537,852],"beta":{"interval_sums":[217194,224971,222287,211544,203767,205525],"interval_residues":[510,879,47,416,47,879],"display_cycle":[510,879,47,416,47,879],"intervals":[{"from_index":95,"to_index":559,"sum":217194,"residue":510},{"from_index":559,"to_index":1023,"sum":224971,"residue":879},{"from_index":1023,"to_index":1487,"sum":222287,"residue":47},{"from_index":1487,"to_index":1951,"sum":211544,"residue":416},{"from_index":1951,"to_index":2415,"sum":203767,"residue":47},{"from_index":2415,"to_index":95,"sum":205525,"residue":879}],"minimal_cycle":[510,879,47,416,47,879],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[95,559],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-96","shape":"Hexagon","alpha_indices":[96,560,1024,1488,1952,2416],"clock_positions":[96,560,1024,1488,1952,2416],"native_values":[634,755,171,292,171,755],"rotation_degrees":12.413793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[634,755,171,292,171,755],"beta":{"interval_sums":[216949,224290,222505,211789,204448,205307],"interval_residues":[265,198,265,661,728,661],"display_cycle":[265,198,265,661,728,661],"intervals":[{"from_index":96,"to_index":560,"sum":216949,"residue":265},{"from_index":560,"to_index":1024,"sum":224290,"residue":198},{"from_index":1024,"to_index":1488,"sum":222505,"residue":265},{"from_index":1488,"to_index":1952,"sum":211789,"residue":661},{"from_index":1952,"to_index":2416,"sum":204448,"residue":728},{"from_index":2416,"to_index":96,"sum":205307,"residue":661}],"minimal_cycle":[265,198,265,661,728,661],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[96,560],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-97","shape":"Hexagon","alpha_indices":[97,561,1025,1489,1953,2417],"clock_positions":[97,561,1025,1489,1953,2417],"native_values":[245,218,245,681,708,681],"rotation_degrees":12.543103448275861,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[245,218,245,681,708,681],"beta":{"interval_sums":[217459,224243,222552,211279,204495,205260],"interval_residues":[775,151,312,151,775,614],"display_cycle":[775,151,312,151,775,614],"intervals":[{"from_index":97,"to_index":561,"sum":217459,"residue":775},{"from_index":561,"to_index":1025,"sum":224243,"residue":151},{"from_index":1025,"to_index":1489,"sum":222552,"residue":312},{"from_index":1489,"to_index":1953,"sum":211279,"residue":151},{"from_index":1953,"to_index":2417,"sum":204495,"residue":775},{"from_index":2417,"to_index":97,"sum":205260,"residue":614}],"minimal_cycle":[775,151,312,151,775,614],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":775,"start_interval_clock_positions":[97,561],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-98","shape":"Hexagon","alpha_indices":[98,562,1026,1490,1954,2418],"clock_positions":[98,562,1026,1490,1954,2418],"native_values":[879,47,416,47,879,510],"rotation_degrees":12.672413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[879,47,416,47,879,510],"beta":{"interval_sums":[216798,224441,222817,211940,204297,204995],"interval_residues":[114,349,577,812,577,349],"display_cycle":[114,349,577,812,577,349],"intervals":[{"from_index":98,"to_index":562,"sum":216798,"residue":114},{"from_index":562,"to_index":1026,"sum":224441,"residue":349},{"from_index":1026,"to_index":1490,"sum":222817,"residue":577},{"from_index":1490,"to_index":1954,"sum":211940,"residue":812},{"from_index":1954,"to_index":2418,"sum":204297,"residue":577},{"from_index":2418,"to_index":98,"sum":204995,"residue":349}],"minimal_cycle":[114,349,577,812,577,349],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[98,562],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-99","shape":"Hexagon","alpha_indices":[99,563,1027,1491,1955,2419],"clock_positions":[99,563,1027,1491,1955,2419],"native_values":[198,265,661,728,661,265],"rotation_degrees":12.801724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[198,265,661,728,661,265],"beta":{"interval_sums":[216647,224592,222203,212091,204146,205609],"interval_residues":[889,500,889,37,426,37],"display_cycle":[889,500,889,37,426,37],"intervals":[{"from_index":99,"to_index":563,"sum":216647,"residue":889},{"from_index":563,"to_index":1027,"sum":224592,"residue":500},{"from_index":1027,"to_index":1491,"sum":222203,"residue":889},{"from_index":1491,"to_index":1955,"sum":212091,"residue":37},{"from_index":1955,"to_index":2419,"sum":204146,"residue":426},{"from_index":2419,"to_index":99,"sum":205609,"residue":37}],"minimal_cycle":[889,500,889,37,426,37],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":889,"start_interval_clock_positions":[99,563],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-100","shape":"Hexagon","alpha_indices":[100,564,1028,1492,1956,2420],"clock_positions":[100,564,1028,1492,1956,2420],"native_values":[151,312,151,775,614,775],"rotation_degrees":12.931034482758621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,312,151,775,614,775],"beta":{"interval_sums":[216761,224941,222780,211977,203797,205032],"interval_residues":[77,849,540,849,77,386],"display_cycle":[77,849,540,849,77,386],"intervals":[{"from_index":100,"to_index":564,"sum":216761,"residue":77},{"from_index":564,"to_index":1028,"sum":224941,"residue":849},{"from_index":1028,"to_index":1492,"sum":222780,"residue":540},{"from_index":1492,"to_index":1956,"sum":211977,"residue":849},{"from_index":1956,"to_index":2420,"sum":203797,"residue":77},{"from_index":2420,"to_index":100,"sum":205032,"residue":386}],"minimal_cycle":[77,849,540,849,77,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":77,"start_interval_clock_positions":[100,564],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-101","shape":"Hexagon","alpha_indices":[101,565,1029,1493,1957,2421],"clock_positions":[101,565,1029,1493,1957,2421],"native_values":[349,577,812,577,349,114],"rotation_degrees":13.060344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,577,812,577,349,114],"beta":{"interval_sums":[216724,224515,222743,212014,204223,205069],"interval_residues":[40,423,503,886,503,423],"display_cycle":[40,423,503,886,503,423],"intervals":[{"from_index":101,"to_index":565,"sum":216724,"residue":40},{"from_index":565,"to_index":1029,"sum":224515,"residue":423},{"from_index":1029,"to_index":1493,"sum":222743,"residue":503},{"from_index":1493,"to_index":1957,"sum":212014,"residue":886},{"from_index":1957,"to_index":2421,"sum":204223,"residue":503},{"from_index":2421,"to_index":101,"sum":205069,"residue":423}],"minimal_cycle":[40,423,503,886,503,423],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[101,565],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-102","shape":"Hexagon","alpha_indices":[102,566,1030,1494,1958,2422],"clock_positions":[102,566,1030,1494,1958,2422],"native_values":[500,889,37,426,37,889],"rotation_degrees":13.189655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[500,889,37,426,37,889],"beta":{"interval_sums":[216801,224438,223283,211937,204300,204529],"interval_residues":[117,346,117,809,580,809],"display_cycle":[117,346,117,809,580,809],"intervals":[{"from_index":102,"to_index":566,"sum":216801,"residue":117},{"from_index":566,"to_index":1030,"sum":224438,"residue":346},{"from_index":1030,"to_index":1494,"sum":223283,"residue":117},{"from_index":1494,"to_index":1958,"sum":211937,"residue":809},{"from_index":1958,"to_index":2422,"sum":204300,"residue":580},{"from_index":2422,"to_index":102,"sum":204529,"residue":809}],"minimal_cycle":[117,346,117,809,580,809],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":117,"start_interval_clock_positions":[102,566],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-103","shape":"Hexagon","alpha_indices":[103,567,1031,1495,1959,2423],"clock_positions":[103,567,1031,1495,1959,2423],"native_values":[849,540,849,77,386,77],"rotation_degrees":13.318965517241379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[849,540,849,77,386,77],"beta":{"interval_sums":[216841,223935,222860,211897,204803,204952],"interval_residues":[157,769,620,769,157,306],"display_cycle":[157,769,620,769,157,306],"intervals":[{"from_index":103,"to_index":567,"sum":216841,"residue":157},{"from_index":567,"to_index":1031,"sum":223935,"residue":769},{"from_index":1031,"to_index":1495,"sum":222860,"residue":620},{"from_index":1495,"to_index":1959,"sum":211897,"residue":769},{"from_index":1959,"to_index":2423,"sum":204803,"residue":157},{"from_index":2423,"to_index":103,"sum":204952,"residue":306}],"minimal_cycle":[157,769,620,769,157,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":157,"start_interval_clock_positions":[103,567],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-104","shape":"Hexagon","alpha_indices":[104,568,1032,1496,1960,2424],"clock_positions":[104,568,1032,1496,1960,2424],"native_values":[423,503,886,503,423,40],"rotation_degrees":13.448275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[423,503,886,503,423,40],"beta":{"interval_sums":[216958,224281,222051,211780,204457,205761],"interval_residues":[274,189,737,652,737,189],"display_cycle":[274,189,737,652,737,189],"intervals":[{"from_index":104,"to_index":568,"sum":216958,"residue":274},{"from_index":568,"to_index":1032,"sum":224281,"residue":189},{"from_index":1032,"to_index":1496,"sum":222051,"residue":737},{"from_index":1496,"to_index":1960,"sum":211780,"residue":652},{"from_index":1960,"to_index":2424,"sum":204457,"residue":737},{"from_index":2424,"to_index":104,"sum":205761,"residue":189}],"minimal_cycle":[274,189,737,652,737,189],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":274,"start_interval_clock_positions":[104,568],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-105","shape":"Hexagon","alpha_indices":[105,569,1033,1497,1961,2425],"clock_positions":[105,569,1033,1497,1961,2425],"native_values":[346,117,809,580,809,117],"rotation_degrees":13.577586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[346,117,809,580,809,117],"beta":{"interval_sums":[217115,225050,221745,211623,203688,206067],"interval_residues":[431,32,431,495,894,495],"display_cycle":[431,32,431,495,894,495],"intervals":[{"from_index":105,"to_index":569,"sum":217115,"residue":431},{"from_index":569,"to_index":1033,"sum":225050,"residue":32},{"from_index":1033,"to_index":1497,"sum":221745,"residue":431},{"from_index":1497,"to_index":1961,"sum":211623,"residue":495},{"from_index":1961,"to_index":2425,"sum":203688,"residue":894},{"from_index":2425,"to_index":105,"sum":206067,"residue":495}],"minimal_cycle":[431,32,431,495,894,495],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":431,"start_interval_clock_positions":[105,569],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-106","shape":"Hexagon","alpha_indices":[106,570,1034,1498,1962,2426],"clock_positions":[106,570,1034,1498,1962,2426],"native_values":[769,620,769,157,306,157],"rotation_degrees":13.706896551724139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[769,620,769,157,306,157],"beta":{"interval_sums":[216463,225239,221556,212275,203499,206256],"interval_residues":[705,221,242,221,705,684],"display_cycle":[705,221,242,221,705,684],"intervals":[{"from_index":106,"to_index":570,"sum":216463,"residue":705},{"from_index":570,"to_index":1034,"sum":225239,"residue":221},{"from_index":1034,"to_index":1498,"sum":221556,"residue":242},{"from_index":1498,"to_index":1962,"sum":212275,"residue":221},{"from_index":1962,"to_index":2426,"sum":203499,"residue":705},{"from_index":2426,"to_index":106,"sum":206256,"residue":684}],"minimal_cycle":[705,221,242,221,705,684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":705,"start_interval_clock_positions":[106,570],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-107","shape":"Hexagon","alpha_indices":[107,571,1035,1499,1963,2427],"clock_positions":[107,571,1035,1499,1963,2427],"native_values":[189,737,652,737,189,274],"rotation_degrees":13.836206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[189,737,652,737,189,274],"beta":{"interval_sums":[216894,225271,221061,211844,203467,206751],"interval_residues":[210,253,673,716,673,253],"display_cycle":[210,253,673,716,673,253],"intervals":[{"from_index":107,"to_index":571,"sum":216894,"residue":210},{"from_index":571,"to_index":1035,"sum":225271,"residue":253},{"from_index":1035,"to_index":1499,"sum":221061,"residue":673},{"from_index":1499,"to_index":1963,"sum":211844,"residue":716},{"from_index":1963,"to_index":2427,"sum":203467,"residue":673},{"from_index":2427,"to_index":107,"sum":206751,"residue":253}],"minimal_cycle":[210,253,673,716,673,253],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[107,571],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-108","shape":"Hexagon","alpha_indices":[108,572,1036,1500,1964,2428],"clock_positions":[108,572,1036,1500,1964,2428],"native_values":[32,431,495,894,495,431],"rotation_degrees":13.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[32,431,495,894,495,431],"beta":{"interval_sums":[217599,225492,221303,211139,203246,206509],"interval_residues":[915,474,915,11,452,11],"display_cycle":[915,474,915,11,452,11],"intervals":[{"from_index":108,"to_index":572,"sum":217599,"residue":915},{"from_index":572,"to_index":1036,"sum":225492,"residue":474},{"from_index":1036,"to_index":1500,"sum":221303,"residue":915},{"from_index":1500,"to_index":1964,"sum":211139,"residue":11},{"from_index":1964,"to_index":2428,"sum":203246,"residue":452},{"from_index":2428,"to_index":108,"sum":206509,"residue":11}],"minimal_cycle":[915,474,915,11,452,11],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":915,"start_interval_clock_positions":[108,572],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-109","shape":"Hexagon","alpha_indices":[109,573,1037,1501,1965,2429],"clock_positions":[109,573,1037,1501,1965,2429],"native_values":[221,242,221,705,684,705],"rotation_degrees":14.094827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,242,221,705,684,705],"beta":{"interval_sums":[217809,225745,221976,210929,202993,205836],"interval_residues":[199,727,662,727,199,264],"display_cycle":[199,727,662,727,199,264],"intervals":[{"from_index":109,"to_index":573,"sum":217809,"residue":199},{"from_index":573,"to_index":1037,"sum":225745,"residue":727},{"from_index":1037,"to_index":1501,"sum":221976,"residue":662},{"from_index":1501,"to_index":1965,"sum":210929,"residue":727},{"from_index":1965,"to_index":2429,"sum":202993,"residue":199},{"from_index":2429,"to_index":109,"sum":205836,"residue":264}],"minimal_cycle":[199,727,662,727,199,264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":199,"start_interval_clock_positions":[109,573],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-110","shape":"Hexagon","alpha_indices":[110,574,1038,1502,1966,2430],"clock_positions":[110,574,1038,1502,1966,2430],"native_values":[253,673,716,673,253,210],"rotation_degrees":14.224137931034482,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[253,673,716,673,253,210],"beta":{"interval_sums":[217798,225293,221965,210940,203445,205847],"interval_residues":[188,275,651,738,651,275],"display_cycle":[188,275,651,738,651,275],"intervals":[{"from_index":110,"to_index":574,"sum":217798,"residue":188},{"from_index":574,"to_index":1038,"sum":225293,"residue":275},{"from_index":1038,"to_index":1502,"sum":221965,"residue":651},{"from_index":1502,"to_index":1966,"sum":210940,"residue":738},{"from_index":1966,"to_index":2430,"sum":203445,"residue":651},{"from_index":2430,"to_index":110,"sum":205847,"residue":275}],"minimal_cycle":[188,275,651,738,651,275],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[110,574],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-111","shape":"Hexagon","alpha_indices":[111,575,1039,1503,1967,2431],"clock_positions":[111,575,1039,1503,1967,2431],"native_values":[474,915,11,452,11,915],"rotation_degrees":14.35344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[474,915,11,452,11,915],"beta":{"interval_sums":[217997,225094,222627,210741,203644,205185],"interval_residues":[387,76,387,539,850,539],"display_cycle":[387,76,387,539,850,539],"intervals":[{"from_index":111,"to_index":575,"sum":217997,"residue":387},{"from_index":575,"to_index":1039,"sum":225094,"residue":76},{"from_index":1039,"to_index":1503,"sum":222627,"residue":387},{"from_index":1503,"to_index":1967,"sum":210741,"residue":539},{"from_index":1967,"to_index":2431,"sum":203644,"residue":850},{"from_index":2431,"to_index":111,"sum":205185,"residue":539}],"minimal_cycle":[387,76,387,539,850,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":387,"start_interval_clock_positions":[111,575],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-112","shape":"Hexagon","alpha_indices":[112,576,1040,1504,1968,2432],"clock_positions":[112,576,1040,1504,1968,2432],"native_values":[727,662,727,199,264,199],"rotation_degrees":14.482758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[727,662,727,199,264,199],"beta":{"interval_sums":[218185,224443,222352,210553,204295,205460],"interval_residues":[575,351,112,351,575,814],"display_cycle":[575,351,112,351,575,814],"intervals":[{"from_index":112,"to_index":576,"sum":218185,"residue":575},{"from_index":576,"to_index":1040,"sum":224443,"residue":351},{"from_index":1040,"to_index":1504,"sum":222352,"residue":112},{"from_index":1504,"to_index":1968,"sum":210553,"residue":351},{"from_index":1968,"to_index":2432,"sum":204295,"residue":575},{"from_index":2432,"to_index":112,"sum":205460,"residue":814}],"minimal_cycle":[575,351,112,351,575,814],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":575,"start_interval_clock_positions":[112,576],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-113","shape":"Hexagon","alpha_indices":[113,577,1041,1505,1969,2433],"clock_positions":[113,577,1041,1505,1969,2433],"native_values":[275,651,738,651,275,188],"rotation_degrees":14.612068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[275,651,738,651,275,188],"beta":{"interval_sums":[218572,224519,221813,210166,204219,205999],"interval_residues":[36,427,499,890,499,427],"display_cycle":[36,427,499,890,499,427],"intervals":[{"from_index":113,"to_index":577,"sum":218572,"residue":36},{"from_index":577,"to_index":1041,"sum":224519,"residue":427},{"from_index":1041,"to_index":1505,"sum":221813,"residue":499},{"from_index":1505,"to_index":1969,"sum":210166,"residue":890},{"from_index":1969,"to_index":2433,"sum":204219,"residue":499},{"from_index":2433,"to_index":113,"sum":205999,"residue":427}],"minimal_cycle":[36,427,499,890,499,427],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[113,577],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-114","shape":"Hexagon","alpha_indices":[114,578,1042,1506,1970,2434],"clock_positions":[114,578,1042,1506,1970,2434],"native_values":[76,387,539,850,539,387],"rotation_degrees":14.741379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[76,387,539,850,539,387],"beta":{"interval_sums":[219147,224870,221925,209591,203868,205887],"interval_residues":[611,778,611,315,148,315],"display_cycle":[611,778,611,315,148,315],"intervals":[{"from_index":114,"to_index":578,"sum":219147,"residue":611},{"from_index":578,"to_index":1042,"sum":224870,"residue":778},{"from_index":1042,"to_index":1506,"sum":221925,"residue":611},{"from_index":1506,"to_index":1970,"sum":209591,"residue":315},{"from_index":1970,"to_index":2434,"sum":203868,"residue":148},{"from_index":2434,"to_index":114,"sum":205887,"residue":315}],"minimal_cycle":[611,778,611,315,148,315],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":611,"start_interval_clock_positions":[114,578],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-115","shape":"Hexagon","alpha_indices":[115,579,1043,1507,1971,2435],"clock_positions":[115,579,1043,1507,1971,2435],"native_values":[351,112,351,575,814,575],"rotation_degrees":14.870689655172415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,112,351,575,814,575],"beta":{"interval_sums":[219183,225297,222424,209555,203441,205388],"interval_residues":[647,279,184,279,647,742],"display_cycle":[647,279,184,279,647,742],"intervals":[{"from_index":115,"to_index":579,"sum":219183,"residue":647},{"from_index":579,"to_index":1043,"sum":225297,"residue":279},{"from_index":1043,"to_index":1507,"sum":222424,"residue":184},{"from_index":1507,"to_index":1971,"sum":209555,"residue":279},{"from_index":1971,"to_index":2435,"sum":203441,"residue":647},{"from_index":2435,"to_index":115,"sum":205388,"residue":742}],"minimal_cycle":[647,279,184,279,647,742],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":647,"start_interval_clock_positions":[115,579],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-116","shape":"Hexagon","alpha_indices":[116,580,1044,1508,1972,2436],"clock_positions":[116,580,1044,1508,1972,2436],"native_values":[427,499,890,499,427,36],"rotation_degrees":15.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[427,499,890,499,427,36],"beta":{"interval_sums":[218868,225149,222109,209870,203589,205703],"interval_residues":[332,131,795,594,795,131],"display_cycle":[332,131,795,594,795,131],"intervals":[{"from_index":116,"to_index":580,"sum":218868,"residue":332},{"from_index":580,"to_index":1044,"sum":225149,"residue":131},{"from_index":1044,"to_index":1508,"sum":222109,"residue":795},{"from_index":1508,"to_index":1972,"sum":209870,"residue":594},{"from_index":1972,"to_index":2436,"sum":203589,"residue":795},{"from_index":2436,"to_index":116,"sum":205703,"residue":131}],"minimal_cycle":[332,131,795,594,795,131],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[116,580],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-117","shape":"Hexagon","alpha_indices":[117,581,1045,1509,1973,2437],"clock_positions":[117,581,1045,1509,1973,2437],"native_values":[778,611,315,148,315,611],"rotation_degrees":15.129310344827585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[778,611,315,148,315,611],"beta":{"interval_sums":[218589,225428,222293,210149,203310,205519],"interval_residues":[53,410,53,873,516,873],"display_cycle":[53,410,53,873,516,873],"intervals":[{"from_index":117,"to_index":581,"sum":218589,"residue":53},{"from_index":581,"to_index":1045,"sum":225428,"residue":410},{"from_index":1045,"to_index":1509,"sum":222293,"residue":53},{"from_index":1509,"to_index":1973,"sum":210149,"residue":873},{"from_index":1973,"to_index":2437,"sum":203310,"residue":516},{"from_index":2437,"to_index":117,"sum":205519,"residue":873}],"minimal_cycle":[53,410,53,873,516,873],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":53,"start_interval_clock_positions":[117,581],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-118","shape":"Hexagon","alpha_indices":[118,582,1046,1510,1974,2438],"clock_positions":[118,582,1046,1510,1974,2438],"native_values":[279,184,279,647,742,647],"rotation_degrees":15.258620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,184,279,647,742,647],"beta":{"interval_sums":[218921,225559,222162,209817,203179,205650],"interval_residues":[385,541,848,541,385,78],"display_cycle":[385,541,848,541,385,78],"intervals":[{"from_index":118,"to_index":582,"sum":218921,"residue":385},{"from_index":582,"to_index":1046,"sum":225559,"residue":541},{"from_index":1046,"to_index":1510,"sum":222162,"residue":848},{"from_index":1510,"to_index":1974,"sum":209817,"residue":541},{"from_index":1974,"to_index":2438,"sum":203179,"residue":385},{"from_index":2438,"to_index":118,"sum":205650,"residue":78}],"minimal_cycle":[385,541,848,541,385,78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":385,"start_interval_clock_positions":[118,582],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-119","shape":"Hexagon","alpha_indices":[119,583,1047,1511,1975,2439],"clock_positions":[119,583,1047,1511,1975,2439],"native_values":[131,795,594,795,131,332],"rotation_degrees":15.387931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,795,594,795,131,332],"beta":{"interval_sums":[218974,225043,222215,209764,203695,205597],"interval_residues":[438,25,901,488,901,25],"display_cycle":[438,25,901,488,901,25],"intervals":[{"from_index":119,"to_index":583,"sum":218974,"residue":438},{"from_index":583,"to_index":1047,"sum":225043,"residue":25},{"from_index":1047,"to_index":1511,"sum":222215,"residue":901},{"from_index":1511,"to_index":1975,"sum":209764,"residue":488},{"from_index":1975,"to_index":2439,"sum":203695,"residue":901},{"from_index":2439,"to_index":119,"sum":205597,"residue":25}],"minimal_cycle":[438,25,901,488,901,25],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":438,"start_interval_clock_positions":[119,583],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-120","shape":"Hexagon","alpha_indices":[120,584,1048,1512,1976,2440],"clock_positions":[120,584,1048,1512,1976,2440],"native_values":[410,53,873,516,873,53],"rotation_degrees":15.517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[410,53,873,516,873,53],"beta":{"interval_sums":[219359,225584,222137,209379,203154,205675],"interval_residues":[823,566,823,103,360,103],"display_cycle":[823,566,823,103,360,103],"intervals":[{"from_index":120,"to_index":584,"sum":219359,"residue":823},{"from_index":584,"to_index":1048,"sum":225584,"residue":566},{"from_index":1048,"to_index":1512,"sum":222137,"residue":823},{"from_index":1512,"to_index":1976,"sum":209379,"residue":103},{"from_index":1976,"to_index":2440,"sum":203154,"residue":360},{"from_index":2440,"to_index":120,"sum":205675,"residue":103}],"minimal_cycle":[823,566,823,103,360,103],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":823,"start_interval_clock_positions":[120,584],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-121","shape":"Hexagon","alpha_indices":[121,585,1049,1513,1977,2441],"clock_positions":[121,585,1049,1513,1977,2441],"native_values":[541,848,541,385,78,385],"rotation_degrees":15.64655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[541,848,541,385,78,385],"beta":{"interval_sums":[218871,225609,222112,209867,203129,205700],"interval_residues":[335,591,798,591,335,128],"display_cycle":[335,591,798,591,335,128],"intervals":[{"from_index":121,"to_index":585,"sum":218871,"residue":335},{"from_index":585,"to_index":1049,"sum":225609,"residue":591},{"from_index":1049,"to_index":1513,"sum":222112,"residue":798},{"from_index":1513,"to_index":1977,"sum":209867,"residue":591},{"from_index":1977,"to_index":2441,"sum":203129,"residue":335},{"from_index":2441,"to_index":121,"sum":205700,"residue":128}],"minimal_cycle":[335,591,798,591,335,128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":335,"start_interval_clock_positions":[121,585],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-122","shape":"Hexagon","alpha_indices":[122,586,1050,1514,1978,2442],"clock_positions":[122,586,1050,1514,1978,2442],"native_values":[25,901,488,901,25,438],"rotation_degrees":15.775862068965518,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[25,901,488,901,25,438],"beta":{"interval_sums":[219694,225249,222009,209044,203489,205803],"interval_residues":[232,231,695,694,695,231],"display_cycle":[232,231,695,694,695,231],"intervals":[{"from_index":122,"to_index":586,"sum":219694,"residue":232},{"from_index":586,"to_index":1050,"sum":225249,"residue":231},{"from_index":1050,"to_index":1514,"sum":222009,"residue":695},{"from_index":1514,"to_index":1978,"sum":209044,"residue":694},{"from_index":1978,"to_index":2442,"sum":203489,"residue":695},{"from_index":2442,"to_index":122,"sum":205803,"residue":231}],"minimal_cycle":[232,231,695,694,695,231],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[122,586],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-123","shape":"Hexagon","alpha_indices":[123,587,1051,1515,1979,2443],"clock_positions":[123,587,1051,1515,1979,2443],"native_values":[566,823,103,360,103,823],"rotation_degrees":15.905172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[566,823,103,360,103,823],"beta":{"interval_sums":[220029,224914,222807,208709,203824,205005],"interval_residues":[567,822,567,359,104,359],"display_cycle":[567,822,567,359,104,359],"intervals":[{"from_index":123,"to_index":587,"sum":220029,"residue":567},{"from_index":587,"to_index":1051,"sum":224914,"residue":822},{"from_index":1051,"to_index":1515,"sum":222807,"residue":567},{"from_index":1515,"to_index":1979,"sum":208709,"residue":359},{"from_index":1979,"to_index":2443,"sum":203824,"residue":104},{"from_index":2443,"to_index":123,"sum":205005,"residue":359}],"minimal_cycle":[567,822,567,359,104,359],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":567,"start_interval_clock_positions":[123,587],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-124","shape":"Hexagon","alpha_indices":[124,588,1052,1516,1980,2444],"clock_positions":[124,588,1052,1516,1980,2444],"native_values":[591,798,591,335,128,335],"rotation_degrees":16.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[591,798,591,335,128,335],"beta":{"interval_sums":[220261,224219,222576,208477,204519,205236],"interval_residues":[799,127,336,127,799,590],"display_cycle":[799,127,336,127,799,590],"intervals":[{"from_index":124,"to_index":588,"sum":220261,"residue":799},{"from_index":588,"to_index":1052,"sum":224219,"residue":127},{"from_index":1052,"to_index":1516,"sum":222576,"residue":336},{"from_index":1516,"to_index":1980,"sum":208477,"residue":127},{"from_index":1980,"to_index":2444,"sum":204519,"residue":799},{"from_index":2444,"to_index":124,"sum":205236,"residue":590}],"minimal_cycle":[799,127,336,127,799,590],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":799,"start_interval_clock_positions":[124,588],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-125","shape":"Hexagon","alpha_indices":[125,589,1053,1517,1981,2445],"clock_positions":[125,589,1053,1517,1981,2445],"native_values":[231,695,694,695,231,232],"rotation_degrees":16.163793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[231,695,694,695,231,232],"beta":{"interval_sums":[220828,224115,222217,207910,204623,205595],"interval_residues":[440,23,903,486,903,23],"display_cycle":[440,23,903,486,903,23],"intervals":[{"from_index":125,"to_index":589,"sum":220828,"residue":440},{"from_index":589,"to_index":1053,"sum":224115,"residue":23},{"from_index":1053,"to_index":1517,"sum":222217,"residue":903},{"from_index":1517,"to_index":1981,"sum":207910,"residue":486},{"from_index":1981,"to_index":2445,"sum":204623,"residue":903},{"from_index":2445,"to_index":125,"sum":205595,"residue":23}],"minimal_cycle":[440,23,903,486,903,23],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[125,589],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-126","shape":"Hexagon","alpha_indices":[126,590,1054,1518,1982,2446],"clock_positions":[126,590,1054,1518,1982,2446],"native_values":[822,567,359,104,359,567],"rotation_degrees":16.29310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[822,567,359,104,359,567],"beta":{"interval_sums":[220701,224242,222553,208037,204496,205259],"interval_residues":[313,150,313,613,776,613],"display_cycle":[313,150,313,613,776,613],"intervals":[{"from_index":126,"to_index":590,"sum":220701,"residue":313},{"from_index":590,"to_index":1054,"sum":224242,"residue":150},{"from_index":1054,"to_index":1518,"sum":222553,"residue":313},{"from_index":1518,"to_index":1982,"sum":208037,"residue":613},{"from_index":1982,"to_index":2446,"sum":204496,"residue":776},{"from_index":2446,"to_index":126,"sum":205259,"residue":613}],"minimal_cycle":[313,150,313,613,776,613],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":313,"start_interval_clock_positions":[126,590],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-127","shape":"Hexagon","alpha_indices":[127,591,1055,1519,1983,2447],"clock_positions":[127,591,1055,1519,1983,2447],"native_values":[127,336,127,799,590,799],"rotation_degrees":16.42241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,336,127,799,590,799],"beta":{"interval_sums":[221141,224265,222530,207597,204473,205282],"interval_residues":[753,173,290,173,753,636],"display_cycle":[753,173,290,173,753,636],"intervals":[{"from_index":127,"to_index":591,"sum":221141,"residue":753},{"from_index":591,"to_index":1055,"sum":224265,"residue":173},{"from_index":1055,"to_index":1519,"sum":222530,"residue":290},{"from_index":1519,"to_index":1983,"sum":207597,"residue":173},{"from_index":1983,"to_index":2447,"sum":204473,"residue":753},{"from_index":2447,"to_index":127,"sum":205282,"residue":636}],"minimal_cycle":[753,173,290,173,753,636],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":753,"start_interval_clock_positions":[127,591],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-128","shape":"Hexagon","alpha_indices":[128,592,1056,1520,1984,2448],"clock_positions":[128,592,1056,1520,1984,2448],"native_values":[23,903,486,903,23,440],"rotation_degrees":16.551724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[23,903,486,903,23,440],"beta":{"interval_sums":[221454,223489,222843,207284,205249,204969],"interval_residues":[140,323,603,786,603,323],"display_cycle":[140,323,603,786,603,323],"intervals":[{"from_index":128,"to_index":592,"sum":221454,"residue":140},{"from_index":592,"to_index":1056,"sum":223489,"residue":323},{"from_index":1056,"to_index":1520,"sum":222843,"residue":603},{"from_index":1520,"to_index":1984,"sum":207284,"residue":786},{"from_index":1984,"to_index":2448,"sum":205249,"residue":603},{"from_index":2448,"to_index":128,"sum":204969,"residue":323}],"minimal_cycle":[140,323,603,786,603,323],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":140,"start_interval_clock_positions":[128,592],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-129","shape":"Hexagon","alpha_indices":[129,593,1057,1521,1985,2449],"clock_positions":[129,593,1057,1521,1985,2449],"native_values":[150,313,613,776,613,313],"rotation_degrees":16.68103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[150,313,613,776,613,313],"beta":{"interval_sums":[222207,223662,223133,206531,205076,204679],"interval_residues":[893,496,893,33,430,33],"display_cycle":[893,496,893,33,430,33],"intervals":[{"from_index":129,"to_index":593,"sum":222207,"residue":893},{"from_index":593,"to_index":1057,"sum":223662,"residue":496},{"from_index":1057,"to_index":1521,"sum":223133,"residue":893},{"from_index":1521,"to_index":1985,"sum":206531,"residue":33},{"from_index":1985,"to_index":2449,"sum":205076,"residue":430},{"from_index":2449,"to_index":129,"sum":204679,"residue":33}],"minimal_cycle":[893,496,893,33,430,33],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":893,"start_interval_clock_positions":[129,593],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-130","shape":"Hexagon","alpha_indices":[130,594,1058,1522,1986,2450],"clock_positions":[130,594,1058,1522,1986,2450],"native_values":[173,290,173,753,636,753],"rotation_degrees":16.810344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,290,173,753,636,753],"beta":{"interval_sums":[222347,223985,223736,206391,204753,204076],"interval_residues":[107,819,570,819,107,356],"display_cycle":[107,819,570,819,107,356],"intervals":[{"from_index":130,"to_index":594,"sum":222347,"residue":107},{"from_index":594,"to_index":1058,"sum":223985,"residue":819},{"from_index":1058,"to_index":1522,"sum":223736,"residue":570},{"from_index":1522,"to_index":1986,"sum":206391,"residue":819},{"from_index":1986,"to_index":2450,"sum":204753,"residue":107},{"from_index":2450,"to_index":130,"sum":204076,"residue":356}],"minimal_cycle":[107,819,570,819,107,356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":107,"start_interval_clock_positions":[130,594],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-131","shape":"Hexagon","alpha_indices":[131,595,1059,1523,1987,2451],"clock_positions":[131,595,1059,1523,1987,2451],"native_values":[323,603,786,603,323,140],"rotation_degrees":16.939655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,603,786,603,323,140],"beta":{"interval_sums":[222314,223555,223703,206424,205183,204109],"interval_residues":[74,389,537,852,537,389],"display_cycle":[74,389,537,852,537,389],"intervals":[{"from_index":131,"to_index":595,"sum":222314,"residue":74},{"from_index":595,"to_index":1059,"sum":223555,"residue":389},{"from_index":1059,"to_index":1523,"sum":223703,"residue":537},{"from_index":1523,"to_index":1987,"sum":206424,"residue":852},{"from_index":1987,"to_index":2451,"sum":205183,"residue":537},{"from_index":2451,"to_index":131,"sum":204109,"residue":389}],"minimal_cycle":[74,389,537,852,537,389],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[131,595],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-132","shape":"Hexagon","alpha_indices":[132,596,1060,1524,1988,2452],"clock_positions":[132,596,1060,1524,1988,2452],"native_values":[496,893,33,430,33,893],"rotation_degrees":17.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[496,893,33,430,33,893],"beta":{"interval_sums":[222421,223448,224273,206317,205290,203539],"interval_residues":[181,282,181,745,644,745],"display_cycle":[181,282,181,745,644,745],"intervals":[{"from_index":132,"to_index":596,"sum":222421,"residue":181},{"from_index":596,"to_index":1060,"sum":223448,"residue":282},{"from_index":1060,"to_index":1524,"sum":224273,"residue":181},{"from_index":1524,"to_index":1988,"sum":206317,"residue":745},{"from_index":1988,"to_index":2452,"sum":205290,"residue":644},{"from_index":2452,"to_index":132,"sum":203539,"residue":745}],"minimal_cycle":[181,282,181,745,644,745],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":181,"start_interval_clock_positions":[132,596],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-133","shape":"Hexagon","alpha_indices":[133,597,1061,1525,1989,2453],"clock_positions":[133,597,1061,1525,1989,2453],"native_values":[819,570,819,107,356,107],"rotation_degrees":17.198275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[819,570,819,107,356,107],"beta":{"interval_sums":[222495,222911,223884,206243,205827,203928],"interval_residues":[255,671,718,671,255,208],"display_cycle":[255,671,718,671,255,208],"intervals":[{"from_index":133,"to_index":597,"sum":222495,"residue":255},{"from_index":597,"to_index":1061,"sum":222911,"residue":671},{"from_index":1061,"to_index":1525,"sum":223884,"residue":718},{"from_index":1525,"to_index":1989,"sum":206243,"residue":671},{"from_index":1989,"to_index":2453,"sum":205827,"residue":255},{"from_index":2453,"to_index":133,"sum":203928,"residue":208}],"minimal_cycle":[255,671,718,671,255,208],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":255,"start_interval_clock_positions":[133,597],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-134","shape":"Hexagon","alpha_indices":[134,598,1062,1526,1990,2454],"clock_positions":[134,598,1062,1526,1990,2454],"native_values":[389,537,852,537,389,74],"rotation_degrees":17.32758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[389,537,852,537,389,74],"beta":{"interval_sums":[222676,223193,223139,206062,205545,204673],"interval_residues":[436,27,899,490,899,27],"display_cycle":[436,27,899,490,899,27],"intervals":[{"from_index":134,"to_index":598,"sum":222676,"residue":436},{"from_index":598,"to_index":1062,"sum":223193,"residue":27},{"from_index":1062,"to_index":1526,"sum":223139,"residue":899},{"from_index":1526,"to_index":1990,"sum":206062,"residue":490},{"from_index":1990,"to_index":2454,"sum":205545,"residue":899},{"from_index":2454,"to_index":134,"sum":204673,"residue":27}],"minimal_cycle":[436,27,899,490,899,27],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[134,598],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-135","shape":"Hexagon","alpha_indices":[135,599,1063,1527,1991,2455],"clock_positions":[135,599,1063,1527,1991,2455],"native_values":[282,181,745,644,745,181],"rotation_degrees":17.45689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[282,181,745,644,745,181],"beta":{"interval_sums":[222931,223864,222931,205807,204874,204881],"interval_residues":[691,698,691,235,228,235],"display_cycle":[691,698,691,235,228,235],"intervals":[{"from_index":135,"to_index":599,"sum":222931,"residue":691},{"from_index":599,"to_index":1063,"sum":223864,"residue":698},{"from_index":1063,"to_index":1527,"sum":222931,"residue":691},{"from_index":1527,"to_index":1991,"sum":205807,"residue":235},{"from_index":1991,"to_index":2455,"sum":204874,"residue":228},{"from_index":2455,"to_index":135,"sum":204881,"residue":235}],"minimal_cycle":[691,698,691,235,228,235],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":691,"start_interval_clock_positions":[135,599],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-136","shape":"Hexagon","alpha_indices":[136,600,1064,1528,1992,2456],"clock_positions":[136,600,1064,1528,1992,2456],"native_values":[671,718,671,255,208,255],"rotation_degrees":17.586206896551722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,718,671,255,208,255],"beta":{"interval_sums":[222441,223891,222904,206297,204847,204908],"interval_residues":[201,725,664,725,201,262],"display_cycle":[201,725,664,725,201,262],"intervals":[{"from_index":136,"to_index":600,"sum":222441,"residue":201},{"from_index":600,"to_index":1064,"sum":223891,"residue":725},{"from_index":1064,"to_index":1528,"sum":222904,"residue":664},{"from_index":1528,"to_index":1992,"sum":206297,"residue":725},{"from_index":1992,"to_index":2456,"sum":204847,"residue":201},{"from_index":2456,"to_index":136,"sum":204908,"residue":262}],"minimal_cycle":[201,725,664,725,201,262],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":201,"start_interval_clock_positions":[136,600],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-137","shape":"Hexagon","alpha_indices":[137,601,1065,1529,1993,2457],"clock_positions":[137,601,1065,1529,1993,2457],"native_values":[27,899,490,899,27,436],"rotation_degrees":17.71551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,899,490,899,27,436],"beta":{"interval_sums":[223132,223663,222669,205606,205075,205143],"interval_residues":[892,497,429,34,429,497],"display_cycle":[892,497,429,34,429,497],"intervals":[{"from_index":137,"to_index":601,"sum":223132,"residue":892},{"from_index":601,"to_index":1065,"sum":223663,"residue":497},{"from_index":1065,"to_index":1529,"sum":222669,"residue":429},{"from_index":1529,"to_index":1993,"sum":205606,"residue":34},{"from_index":1993,"to_index":2457,"sum":205075,"residue":429},{"from_index":2457,"to_index":137,"sum":205143,"residue":497}],"minimal_cycle":[892,497,429,34,429,497],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":892,"start_interval_clock_positions":[137,601],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-138","shape":"Hexagon","alpha_indices":[138,602,1066,1530,1994,2458],"clock_positions":[138,602,1066,1530,1994,2458],"native_values":[698,691,235,228,235,691],"rotation_degrees":17.844827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[698,691,235,228,235,691],"beta":{"interval_sums":[223333,223462,223333,205405,205276,204479],"interval_residues":[167,296,167,759,630,759],"display_cycle":[167,296,167,759,630,759],"intervals":[{"from_index":138,"to_index":602,"sum":223333,"residue":167},{"from_index":602,"to_index":1066,"sum":223462,"residue":296},{"from_index":1066,"to_index":1530,"sum":223333,"residue":167},{"from_index":1530,"to_index":1994,"sum":205405,"residue":759},{"from_index":1994,"to_index":2458,"sum":205276,"residue":630},{"from_index":2458,"to_index":138,"sum":204479,"residue":759}],"minimal_cycle":[167,296,167,759,630,759],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":167,"start_interval_clock_positions":[138,602],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-139","shape":"Hexagon","alpha_indices":[139,603,1067,1531,1995,2459],"clock_positions":[139,603,1067,1531,1995,2459],"native_values":[725,664,725,201,262,201],"rotation_degrees":17.974137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[725,664,725,201,262,201],"beta":{"interval_sums":[223299,223033,222836,205439,205705,204976],"interval_residues":[133,793,596,793,133,330],"display_cycle":[133,793,596,793,133,330],"intervals":[{"from_index":139,"to_index":603,"sum":223299,"residue":133},{"from_index":603,"to_index":1067,"sum":223033,"residue":793},{"from_index":1067,"to_index":1531,"sum":222836,"residue":596},{"from_index":1531,"to_index":1995,"sum":205439,"residue":793},{"from_index":1995,"to_index":2459,"sum":205705,"residue":133},{"from_index":2459,"to_index":139,"sum":204976,"residue":330}],"minimal_cycle":[133,793,596,793,133,330],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":133,"start_interval_clock_positions":[139,603],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-140","shape":"Hexagon","alpha_indices":[140,604,1068,1532,1996,2460],"clock_positions":[140,604,1068,1532,1996,2460],"native_values":[497,429,34,429,497,892],"rotation_degrees":18.103448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[497,429,34,429,497,892],"beta":{"interval_sums":[223466,223329,223003,205272,205409,204809],"interval_residues":[300,163,763,626,763,163],"display_cycle":[300,163,763,626,763,163],"intervals":[{"from_index":140,"to_index":604,"sum":223466,"residue":300},{"from_index":604,"to_index":1068,"sum":223329,"residue":163},{"from_index":1068,"to_index":1532,"sum":223003,"residue":763},{"from_index":1532,"to_index":1996,"sum":205272,"residue":626},{"from_index":1996,"to_index":2460,"sum":205409,"residue":763},{"from_index":2460,"to_index":140,"sum":204809,"residue":163}],"minimal_cycle":[300,163,763,626,763,163],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":300,"start_interval_clock_positions":[140,604],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-141","shape":"Hexagon","alpha_indices":[141,605,1069,1533,1997,2461],"clock_positions":[141,605,1069,1533,1997,2461],"native_values":[296,167,759,630,759,167],"rotation_degrees":18.232758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[296,167,759,630,759,167],"beta":{"interval_sums":[223599,223196,222673,205139,205542,205139],"interval_residues":[433,30,433,493,896,493],"display_cycle":[433,30,433,493,896,493],"intervals":[{"from_index":141,"to_index":605,"sum":223599,"residue":433},{"from_index":605,"to_index":1069,"sum":223196,"residue":30},{"from_index":1069,"to_index":1533,"sum":222673,"residue":433},{"from_index":1533,"to_index":1997,"sum":205139,"residue":493},{"from_index":1997,"to_index":2461,"sum":205542,"residue":896},{"from_index":2461,"to_index":141,"sum":205139,"residue":493}],"minimal_cycle":[433,30,433,493,896,493],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":433,"start_interval_clock_positions":[141,605],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-142","shape":"Hexagon","alpha_indices":[142,606,1070,1534,1998,2462],"clock_positions":[142,606,1070,1534,1998,2462],"native_values":[793,596,793,133,330,133],"rotation_degrees":18.362068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[793,596,793,133,330,133],"beta":{"interval_sums":[222973,223359,222510,205765,205379,205302],"interval_residues":[733,193,270,193,733,656],"display_cycle":[733,193,270,193,733,656],"intervals":[{"from_index":142,"to_index":606,"sum":222973,"residue":733},{"from_index":606,"to_index":1070,"sum":223359,"residue":193},{"from_index":1070,"to_index":1534,"sum":222510,"residue":270},{"from_index":1534,"to_index":1998,"sum":205765,"residue":193},{"from_index":1998,"to_index":2462,"sum":205379,"residue":733},{"from_index":2462,"to_index":142,"sum":205302,"residue":656}],"minimal_cycle":[733,193,270,193,733,656],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":733,"start_interval_clock_positions":[142,606],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-143","shape":"Hexagon","alpha_indices":[143,607,1071,1535,1999,2463],"clock_positions":[143,607,1071,1535,1999,2463],"native_values":[163,763,626,763,163,300],"rotation_degrees":18.49137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[163,763,626,763,163,300],"beta":{"interval_sums":[223406,223389,222017,205332,205349,205795],"interval_residues":[240,223,703,686,703,223],"display_cycle":[240,223,703,686,703,223],"intervals":[{"from_index":143,"to_index":607,"sum":223406,"residue":240},{"from_index":607,"to_index":1071,"sum":223389,"residue":223},{"from_index":1071,"to_index":1535,"sum":222017,"residue":703},{"from_index":1535,"to_index":1999,"sum":205332,"residue":686},{"from_index":1999,"to_index":2463,"sum":205349,"residue":703},{"from_index":2463,"to_index":143,"sum":205795,"residue":223}],"minimal_cycle":[240,223,703,686,703,223],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[143,607],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-144","shape":"Hexagon","alpha_indices":[144,608,1072,1536,2000,2464],"clock_positions":[144,608,1072,1536,2000,2464],"native_values":[30,433,493,896,493,433],"rotation_degrees":18.620689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[30,433,493,896,493,433],"beta":{"interval_sums":[224139,223582,222287,204599,205156,205525],"interval_residues":[47,416,47,879,510,879],"display_cycle":[47,416,47,879,510,879],"intervals":[{"from_index":144,"to_index":608,"sum":224139,"residue":47},{"from_index":608,"to_index":1072,"sum":223582,"residue":416},{"from_index":1072,"to_index":1536,"sum":222287,"residue":47},{"from_index":1536,"to_index":2000,"sum":204599,"residue":879},{"from_index":2000,"to_index":2464,"sum":205156,"residue":510},{"from_index":2464,"to_index":144,"sum":205525,"residue":879}],"minimal_cycle":[47,416,47,879,510,879],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":47,"start_interval_clock_positions":[144,608],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-145","shape":"Hexagon","alpha_indices":[145,609,1073,1537,2001,2465],"clock_positions":[145,609,1073,1537,2001,2465],"native_values":[193,270,193,733,656,733],"rotation_degrees":18.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,270,193,733,656,733],"beta":{"interval_sums":[224379,223805,222990,204359,204933,204822],"interval_residues":[287,639,750,639,287,176],"display_cycle":[287,639,750,639,287,176],"intervals":[{"from_index":145,"to_index":609,"sum":224379,"residue":287},{"from_index":609,"to_index":1073,"sum":223805,"residue":639},{"from_index":1073,"to_index":1537,"sum":222990,"residue":750},{"from_index":1537,"to_index":2001,"sum":204359,"residue":639},{"from_index":2001,"to_index":2465,"sum":204933,"residue":287},{"from_index":2465,"to_index":145,"sum":204822,"residue":176}],"minimal_cycle":[287,639,750,639,287,176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":287,"start_interval_clock_positions":[145,609],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-146","shape":"Hexagon","alpha_indices":[146,610,1074,1538,2002,2466],"clock_positions":[146,610,1074,1538,2002,2466],"native_values":[223,703,686,703,223,240],"rotation_degrees":18.879310344827587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,703,686,703,223,240],"beta":{"interval_sums":[224426,223295,223037,204312,205443,204775],"interval_residues":[334,129,797,592,797,129],"display_cycle":[334,129,797,592,797,129],"intervals":[{"from_index":146,"to_index":610,"sum":224426,"residue":334},{"from_index":610,"to_index":1074,"sum":223295,"residue":129},{"from_index":1074,"to_index":1538,"sum":223037,"residue":797},{"from_index":1538,"to_index":2002,"sum":204312,"residue":592},{"from_index":2002,"to_index":2466,"sum":205443,"residue":797},{"from_index":2466,"to_index":146,"sum":204775,"residue":129}],"minimal_cycle":[334,129,797,592,797,129],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[146,610],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-147","shape":"Hexagon","alpha_indices":[147,611,1075,1539,2003,2467],"clock_positions":[147,611,1075,1539,2003,2467],"native_values":[416,47,879,510,879,47],"rotation_degrees":19.00862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[416,47,879,510,879,47],"beta":{"interval_sums":[224713,223934,222861,204025,204804,204951],"interval_residues":[621,768,621,305,158,305],"display_cycle":[621,768,621,305,158,305],"intervals":[{"from_index":147,"to_index":611,"sum":224713,"residue":621},{"from_index":611,"to_index":1075,"sum":223934,"residue":768},{"from_index":1075,"to_index":1539,"sum":222861,"residue":621},{"from_index":1539,"to_index":2003,"sum":204025,"residue":305},{"from_index":2003,"to_index":2467,"sum":204804,"residue":158},{"from_index":2467,"to_index":147,"sum":204951,"residue":305}],"minimal_cycle":[621,768,621,305,158,305],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":621,"start_interval_clock_positions":[147,611],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-148","shape":"Hexagon","alpha_indices":[148,612,1076,1540,2004,2468],"clock_positions":[148,612,1076,1540,2004,2468],"native_values":[639,750,639,287,176,287],"rotation_degrees":19.137931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[639,750,639,287,176,287],"beta":{"interval_sums":[224121,224063,222732,204617,204675,205080],"interval_residues":[29,897,492,897,29,434],"display_cycle":[29,897,492,897,29,434],"intervals":[{"from_index":148,"to_index":612,"sum":224121,"residue":29},{"from_index":612,"to_index":1076,"sum":224063,"residue":897},{"from_index":1076,"to_index":1540,"sum":222732,"residue":492},{"from_index":1540,"to_index":2004,"sum":204617,"residue":897},{"from_index":2004,"to_index":2468,"sum":204675,"residue":29},{"from_index":2468,"to_index":148,"sum":205080,"residue":434}],"minimal_cycle":[29,897,492,897,29,434],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":29,"start_interval_clock_positions":[148,612],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-149","shape":"Hexagon","alpha_indices":[149,613,1077,1541,2005,2469],"clock_positions":[149,613,1077,1541,2005,2469],"native_values":[129,797,592,797,129,334],"rotation_degrees":19.267241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[129,797,592,797,129,334],"beta":{"interval_sums":[224742,223905,222427,203996,204833,205385],"interval_residues":[650,739,187,276,187,739],"display_cycle":[650,739,187,276,187,739],"intervals":[{"from_index":149,"to_index":613,"sum":224742,"residue":650},{"from_index":613,"to_index":1077,"sum":223905,"residue":739},{"from_index":1077,"to_index":1541,"sum":222427,"residue":187},{"from_index":1541,"to_index":2005,"sum":203996,"residue":276},{"from_index":2005,"to_index":2469,"sum":204833,"residue":187},{"from_index":2469,"to_index":149,"sum":205385,"residue":739}],"minimal_cycle":[650,739,187,276,187,739],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":650,"start_interval_clock_positions":[149,613],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-150","shape":"Hexagon","alpha_indices":[150,614,1078,1542,2006,2470],"clock_positions":[150,614,1078,1542,2006,2470],"native_values":[768,621,305,158,305,621],"rotation_degrees":19.396551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[768,621,305,158,305,621],"beta":{"interval_sums":[224771,223876,222919,203967,204862,204893],"interval_residues":[679,710,679,247,216,247],"display_cycle":[679,710,679,247,216,247],"intervals":[{"from_index":150,"to_index":614,"sum":224771,"residue":679},{"from_index":614,"to_index":1078,"sum":223876,"residue":710},{"from_index":1078,"to_index":1542,"sum":222919,"residue":679},{"from_index":1542,"to_index":2006,"sum":203967,"residue":247},{"from_index":2006,"to_index":2470,"sum":204862,"residue":216},{"from_index":2470,"to_index":150,"sum":204893,"residue":247}],"minimal_cycle":[679,710,679,247,216,247],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":679,"start_interval_clock_positions":[150,614],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-151","shape":"Hexagon","alpha_indices":[151,615,1079,1543,2007,2471],"clock_positions":[151,615,1079,1543,2007,2471],"native_values":[897,492,897,29,434,29],"rotation_degrees":19.525862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[897,492,897,29,434,29],"beta":{"interval_sums":[224495,223689,222180,204243,205049,205632],"interval_residues":[403,523,866,523,403,60],"display_cycle":[403,523,866,523,403,60],"intervals":[{"from_index":151,"to_index":615,"sum":224495,"residue":403},{"from_index":615,"to_index":1079,"sum":223689,"residue":523},{"from_index":1079,"to_index":1543,"sum":222180,"residue":866},{"from_index":1543,"to_index":2007,"sum":204243,"residue":523},{"from_index":2007,"to_index":2471,"sum":205049,"residue":403},{"from_index":2471,"to_index":151,"sum":205632,"residue":60}],"minimal_cycle":[403,523,866,523,403,60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":403,"start_interval_clock_positions":[151,615],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-152","shape":"Hexagon","alpha_indices":[152,616,1080,1544,2008,2472],"clock_positions":[152,616,1080,1544,2008,2472],"native_values":[739,187,276,187,739,650],"rotation_degrees":19.655172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[739,187,276,187,739,650],"beta":{"interval_sums":[224248,224399,221933,204490,204339,205879],"interval_residues":[156,307,619,770,619,307],"display_cycle":[156,307,619,770,619,307],"intervals":[{"from_index":152,"to_index":616,"sum":224248,"residue":156},{"from_index":616,"to_index":1080,"sum":224399,"residue":307},{"from_index":1080,"to_index":1544,"sum":221933,"residue":619},{"from_index":1544,"to_index":2008,"sum":204490,"residue":770},{"from_index":2008,"to_index":2472,"sum":204339,"residue":619},{"from_index":2472,"to_index":152,"sum":205879,"residue":307}],"minimal_cycle":[156,307,619,770,619,307],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[152,616],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-153","shape":"Hexagon","alpha_indices":[153,617,1081,1545,2009,2473],"clock_positions":[153,617,1081,1545,2009,2473],"native_values":[710,679,247,216,247,679],"rotation_degrees":19.78448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[710,679,247,216,247,679],"beta":{"interval_sums":[223725,223996,221873,205013,204742,205939],"interval_residues":[559,830,559,367,96,367],"display_cycle":[559,830,559,367,96,367],"intervals":[{"from_index":153,"to_index":617,"sum":223725,"residue":559},{"from_index":617,"to_index":1081,"sum":223996,"residue":830},{"from_index":1081,"to_index":1545,"sum":221873,"residue":559},{"from_index":1545,"to_index":2009,"sum":205013,"residue":367},{"from_index":2009,"to_index":2473,"sum":204742,"residue":96},{"from_index":2473,"to_index":153,"sum":205939,"residue":367}],"minimal_cycle":[559,830,559,367,96,367],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":559,"start_interval_clock_positions":[153,617],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-154","shape":"Hexagon","alpha_indices":[154,618,1082,1546,2010,2474],"clock_positions":[154,618,1082,1546,2010,2474],"native_values":[523,866,523,403,60,403],"rotation_degrees":19.913793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,866,523,403,60,403],"beta":{"interval_sums":[223881,223377,221566,204857,205361,206246],"interval_residues":[715,211,252,211,715,674],"display_cycle":[715,211,252,211,715,674],"intervals":[{"from_index":154,"to_index":618,"sum":223881,"residue":715},{"from_index":618,"to_index":1082,"sum":223377,"residue":211},{"from_index":1082,"to_index":1546,"sum":221566,"residue":252},{"from_index":1546,"to_index":2010,"sum":204857,"residue":211},{"from_index":2010,"to_index":2474,"sum":205361,"residue":715},{"from_index":2474,"to_index":154,"sum":206246,"residue":674}],"minimal_cycle":[715,211,252,211,715,674],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":715,"start_interval_clock_positions":[154,618],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-155","shape":"Hexagon","alpha_indices":[155,619,1083,1547,2011,2475],"clock_positions":[155,619,1083,1547,2011,2475],"native_values":[307,619,770,619,307,156],"rotation_degrees":20.04310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,619,770,619,307,156],"beta":{"interval_sums":[224440,223281,221199,204298,205457,206613],"interval_residues":[348,115,811,578,811,115],"display_cycle":[348,115,811,578,811,115],"intervals":[{"from_index":155,"to_index":619,"sum":224440,"residue":348},{"from_index":619,"to_index":1083,"sum":223281,"residue":115},{"from_index":1083,"to_index":1547,"sum":221199,"residue":811},{"from_index":1547,"to_index":2011,"sum":204298,"residue":578},{"from_index":2011,"to_index":2475,"sum":205457,"residue":811},{"from_index":2475,"to_index":155,"sum":206613,"residue":115}],"minimal_cycle":[348,115,811,578,811,115],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[155,619],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-156","shape":"Hexagon","alpha_indices":[156,620,1084,1548,2012,2476],"clock_positions":[156,620,1084,1548,2012,2476],"native_values":[830,559,367,96,367,559],"rotation_degrees":20.17241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[830,559,367,96,367,559],"beta":{"interval_sums":[224229,223492,221451,204509,205246,206361],"interval_residues":[137,326,137,789,600,789],"display_cycle":[137,326,137,789,600,789],"intervals":[{"from_index":156,"to_index":620,"sum":224229,"residue":137},{"from_index":620,"to_index":1084,"sum":223492,"residue":326},{"from_index":1084,"to_index":1548,"sum":221451,"residue":137},{"from_index":1548,"to_index":2012,"sum":204509,"residue":789},{"from_index":2012,"to_index":2476,"sum":205246,"residue":600},{"from_index":2476,"to_index":156,"sum":206361,"residue":789}],"minimal_cycle":[137,326,137,789,600,789],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":137,"start_interval_clock_positions":[156,620],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-157","shape":"Hexagon","alpha_indices":[157,621,1085,1549,2013,2477],"clock_positions":[157,621,1085,1549,2013,2477],"native_values":[211,252,211,715,674,715],"rotation_degrees":20.301724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,252,211,715,674,715],"beta":{"interval_sums":[224577,223607,221336,204161,205131,206476],"interval_residues":[485,441,22,441,485,904],"display_cycle":[485,441,22,441,485,904],"intervals":[{"from_index":157,"to_index":621,"sum":224577,"residue":485},{"from_index":621,"to_index":1085,"sum":223607,"residue":441},{"from_index":1085,"to_index":1549,"sum":221336,"residue":22},{"from_index":1549,"to_index":2013,"sum":204161,"residue":441},{"from_index":2013,"to_index":2477,"sum":205131,"residue":485},{"from_index":2477,"to_index":157,"sum":206476,"residue":904}],"minimal_cycle":[485,441,22,441,485,904],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":485,"start_interval_clock_positions":[157,621],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-158","shape":"Hexagon","alpha_indices":[158,622,1086,1550,2014,2478],"clock_positions":[158,622,1086,1550,2014,2478],"native_values":[115,811,578,811,115,348],"rotation_degrees":20.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,811,578,811,115,348],"beta":{"interval_sums":[224714,223007,221473,204024,205731,206339],"interval_residues":[622,767,159,304,159,767],"display_cycle":[622,767,159,304,159,767],"intervals":[{"from_index":158,"to_index":622,"sum":224714,"residue":622},{"from_index":622,"to_index":1086,"sum":223007,"residue":767},{"from_index":1086,"to_index":1550,"sum":221473,"residue":159},{"from_index":1550,"to_index":2014,"sum":204024,"residue":304},{"from_index":2014,"to_index":2478,"sum":205731,"residue":159},{"from_index":2478,"to_index":158,"sum":206339,"residue":767}],"minimal_cycle":[622,767,159,304,159,767],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":622,"start_interval_clock_positions":[158,622],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-159","shape":"Hexagon","alpha_indices":[159,623,1087,1551,2015,2479],"clock_positions":[159,623,1087,1551,2015,2479],"native_values":[326,137,789,600,789,137],"rotation_degrees":20.560344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[326,137,789,600,789,137],"beta":{"interval_sums":[225199,223448,221495,203539,205290,206317],"interval_residues":[181,282,181,745,644,745],"display_cycle":[181,282,181,745,644,745],"intervals":[{"from_index":159,"to_index":623,"sum":225199,"residue":181},{"from_index":623,"to_index":1087,"sum":223448,"residue":282},{"from_index":1087,"to_index":1551,"sum":221495,"residue":181},{"from_index":1551,"to_index":2015,"sum":203539,"residue":745},{"from_index":2015,"to_index":2479,"sum":205290,"residue":644},{"from_index":2479,"to_index":159,"sum":206317,"residue":745}],"minimal_cycle":[181,282,181,745,644,745],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":181,"start_interval_clock_positions":[159,623],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-160","shape":"Hexagon","alpha_indices":[160,624,1088,1552,2016,2480],"clock_positions":[160,624,1088,1552,2016,2480],"native_values":[441,22,441,485,904,485],"rotation_degrees":20.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,22,441,485,904,485],"beta":{"interval_sums":[224895,224215,221654,203843,204523,206158],"interval_residues":[803,123,340,123,803,586],"display_cycle":[803,123,340,123,803,586],"intervals":[{"from_index":160,"to_index":624,"sum":224895,"residue":803},{"from_index":624,"to_index":1088,"sum":224215,"residue":123},{"from_index":1088,"to_index":1552,"sum":221654,"residue":340},{"from_index":1552,"to_index":2016,"sum":203843,"residue":123},{"from_index":2016,"to_index":2480,"sum":204523,"residue":803},{"from_index":2480,"to_index":160,"sum":206158,"residue":586}],"minimal_cycle":[803,123,340,123,803,586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":803,"start_interval_clock_positions":[160,624],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-161","shape":"Hexagon","alpha_indices":[161,625,1089,1553,2017,2481],"clock_positions":[161,625,1089,1553,2017,2481],"native_values":[767,159,304,159,767,622],"rotation_degrees":20.81896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[767,159,304,159,767,622],"beta":{"interval_sums":[224150,224497,221835,204588,204241,205977],"interval_residues":[58,405,521,868,521,405],"display_cycle":[58,405,521,868,521,405],"intervals":[{"from_index":161,"to_index":625,"sum":224150,"residue":58},{"from_index":625,"to_index":1089,"sum":224497,"residue":405},{"from_index":1089,"to_index":1553,"sum":221835,"residue":521},{"from_index":1553,"to_index":2017,"sum":204588,"residue":868},{"from_index":2017,"to_index":2481,"sum":204241,"residue":521},{"from_index":2481,"to_index":161,"sum":205977,"residue":405}],"minimal_cycle":[58,405,521,868,521,405],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[161,625],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-162","shape":"Hexagon","alpha_indices":[162,626,1090,1554,2018,2482],"clock_positions":[162,626,1090,1554,2018,2482],"native_values":[282,181,745,644,745,181],"rotation_degrees":20.948275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[282,181,745,644,745,181],"beta":{"interval_sums":[224027,224620,221249,204711,204118,206563],"interval_residues":[861,528,861,65,398,65],"display_cycle":[861,528,861,65,398,65],"intervals":[{"from_index":162,"to_index":626,"sum":224027,"residue":861},{"from_index":626,"to_index":1090,"sum":224620,"residue":528},{"from_index":1090,"to_index":1554,"sum":221249,"residue":861},{"from_index":1554,"to_index":2018,"sum":204711,"residue":65},{"from_index":2018,"to_index":2482,"sum":204118,"residue":398},{"from_index":2482,"to_index":162,"sum":206563,"residue":65}],"minimal_cycle":[861,528,861,65,398,65],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":861,"start_interval_clock_positions":[162,626],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-163","shape":"Hexagon","alpha_indices":[163,627,1091,1555,2019,2483],"clock_positions":[163,627,1091,1555,2019,2483],"native_values":[123,340,123,803,586,803],"rotation_degrees":21.07758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,340,123,803,586,803],"beta":{"interval_sums":[224085,225025,221770,204653,203713,206042],"interval_residues":[919,7,456,7,919,470],"display_cycle":[919,7,456,7,919,470],"intervals":[{"from_index":163,"to_index":627,"sum":224085,"residue":919},{"from_index":627,"to_index":1091,"sum":225025,"residue":7},{"from_index":1091,"to_index":1555,"sum":221770,"residue":456},{"from_index":1555,"to_index":2019,"sum":204653,"residue":7},{"from_index":2019,"to_index":2483,"sum":203713,"residue":919},{"from_index":2483,"to_index":163,"sum":206042,"residue":470}],"minimal_cycle":[919,7,456,7,919,470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":919,"start_interval_clock_positions":[163,627],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-164","shape":"Hexagon","alpha_indices":[164,628,1092,1556,2020,2484],"clock_positions":[164,628,1092,1556,2020,2484],"native_values":[405,521,868,521,405,58],"rotation_degrees":21.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,521,868,521,405,58],"beta":{"interval_sums":[224020,224627,221705,204718,204111,206107],"interval_residues":[854,535,391,72,391,535],"display_cycle":[854,535,391,72,391,535],"intervals":[{"from_index":164,"to_index":628,"sum":224020,"residue":854},{"from_index":628,"to_index":1092,"sum":224627,"residue":535},{"from_index":1092,"to_index":1556,"sum":221705,"residue":391},{"from_index":1556,"to_index":2020,"sum":204718,"residue":72},{"from_index":2020,"to_index":2484,"sum":204111,"residue":391},{"from_index":2484,"to_index":164,"sum":206107,"residue":535}],"minimal_cycle":[854,535,391,72,391,535],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":854,"start_interval_clock_positions":[164,628],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-165","shape":"Hexagon","alpha_indices":[165,629,1093,1557,2021,2485],"clock_positions":[165,629,1093,1557,2021,2485],"native_values":[528,861,65,398,65,861],"rotation_degrees":21.336206896551722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[528,861,65,398,65,861],"beta":{"interval_sums":[224013,224634,222161,204725,204104,205651],"interval_residues":[847,542,847,79,384,79],"display_cycle":[847,542,847,79,384,79],"intervals":[{"from_index":165,"to_index":629,"sum":224013,"residue":847},{"from_index":629,"to_index":1093,"sum":224634,"residue":542},{"from_index":1093,"to_index":1557,"sum":222161,"residue":847},{"from_index":1557,"to_index":2021,"sum":204725,"residue":79},{"from_index":2021,"to_index":2485,"sum":204104,"residue":384},{"from_index":2485,"to_index":165,"sum":205651,"residue":79}],"minimal_cycle":[847,542,847,79,384,79],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":847,"start_interval_clock_positions":[165,629],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-166","shape":"Hexagon","alpha_indices":[166,630,1094,1558,2022,2486],"clock_positions":[166,630,1094,1558,2022,2486],"native_values":[7,456,7,919,470,919],"rotation_degrees":21.46551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[7,456,7,919,470,919],"beta":{"interval_sums":[224867,224243,222552,203871,204495,205260],"interval_residues":[775,151,312,151,775,614],"display_cycle":[775,151,312,151,775,614],"intervals":[{"from_index":166,"to_index":630,"sum":224867,"residue":775},{"from_index":630,"to_index":1094,"sum":224243,"residue":151},{"from_index":1094,"to_index":1558,"sum":222552,"residue":312},{"from_index":1558,"to_index":2022,"sum":203871,"residue":151},{"from_index":2022,"to_index":2486,"sum":204495,"residue":775},{"from_index":2486,"to_index":166,"sum":205260,"residue":614}],"minimal_cycle":[775,151,312,151,775,614],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":775,"start_interval_clock_positions":[166,630],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-167","shape":"Hexagon","alpha_indices":[167,631,1095,1559,2023,2487],"clock_positions":[167,631,1095,1559,2023,2487],"native_values":[535,391,72,391,535,854],"rotation_degrees":21.594827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[535,391,72,391,535,854],"beta":{"interval_sums":[224788,223859,223399,203950,204879,204413],"interval_residues":[696,693,233,230,233,693],"display_cycle":[696,693,233,230,233,693],"intervals":[{"from_index":167,"to_index":631,"sum":224788,"residue":696},{"from_index":631,"to_index":1095,"sum":223859,"residue":693},{"from_index":1095,"to_index":1559,"sum":223399,"residue":233},{"from_index":1559,"to_index":2023,"sum":203950,"residue":230},{"from_index":2023,"to_index":2487,"sum":204879,"residue":233},{"from_index":2487,"to_index":167,"sum":204413,"residue":693}],"minimal_cycle":[696,693,233,230,233,693],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":696,"start_interval_clock_positions":[167,631],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-168","shape":"Hexagon","alpha_indices":[168,632,1096,1560,2024,2488],"clock_positions":[168,632,1096,1560,2024,2488],"native_values":[542,847,79,384,79,847],"rotation_degrees":21.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[542,847,79,384,79,847],"beta":{"interval_sums":[224637,223084,223711,204101,205654,204101],"interval_residues":[545,844,545,381,82,381],"display_cycle":[545,844,545,381,82,381],"intervals":[{"from_index":168,"to_index":632,"sum":224637,"residue":545},{"from_index":632,"to_index":1096,"sum":223084,"residue":844},{"from_index":1096,"to_index":1560,"sum":223711,"residue":545},{"from_index":1560,"to_index":2024,"sum":204101,"residue":381},{"from_index":2024,"to_index":2488,"sum":205654,"residue":82},{"from_index":2488,"to_index":168,"sum":204101,"residue":381}],"minimal_cycle":[545,844,545,381,82,381],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":545,"start_interval_clock_positions":[168,632],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-169","shape":"Hexagon","alpha_indices":[169,633,1097,1561,2025,2489],"clock_positions":[169,633,1097,1561,2025,2489],"native_values":[151,312,151,775,614,775],"rotation_degrees":21.853448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,312,151,775,614,775],"beta":{"interval_sums":[225333,222851,223944,203405,205887,203868],"interval_residues":[315,611,778,611,315,148],"display_cycle":[315,611,778,611,315,148],"intervals":[{"from_index":169,"to_index":633,"sum":225333,"residue":315},{"from_index":633,"to_index":1097,"sum":222851,"residue":611},{"from_index":1097,"to_index":1561,"sum":223944,"residue":778},{"from_index":1561,"to_index":2025,"sum":203405,"residue":611},{"from_index":2025,"to_index":2489,"sum":205887,"residue":315},{"from_index":2489,"to_index":169,"sum":203868,"residue":148}],"minimal_cycle":[315,611,778,611,315,148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":315,"start_interval_clock_positions":[169,633],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-170","shape":"Hexagon","alpha_indices":[170,634,1098,1562,2026,2490],"clock_positions":[170,634,1098,1562,2026,2490],"native_values":[693,233,230,233,693,696],"rotation_degrees":21.982758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[693,233,230,233,693,696],"beta":{"interval_sums":[224952,222769,224489,203786,205969,203323],"interval_residues":[860,529,397,66,397,529],"display_cycle":[860,529,397,66,397,529],"intervals":[{"from_index":170,"to_index":634,"sum":224952,"residue":860},{"from_index":634,"to_index":1098,"sum":222769,"residue":529},{"from_index":1098,"to_index":1562,"sum":224489,"residue":397},{"from_index":1562,"to_index":2026,"sum":203786,"residue":66},{"from_index":2026,"to_index":2490,"sum":205969,"residue":397},{"from_index":2490,"to_index":170,"sum":203323,"residue":529}],"minimal_cycle":[860,529,397,66,397,529],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":860,"start_interval_clock_positions":[170,634],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-171","shape":"Hexagon","alpha_indices":[171,635,1099,1563,2027,2491],"clock_positions":[171,635,1099,1563,2027,2491],"native_values":[844,545,381,82,381,545],"rotation_degrees":22.112068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[844,545,381,82,381,545],"beta":{"interval_sums":[224341,222454,224341,204397,206284,203471],"interval_residues":[249,214,249,677,712,677],"display_cycle":[249,214,249,677,712,677],"intervals":[{"from_index":171,"to_index":635,"sum":224341,"residue":249},{"from_index":635,"to_index":1099,"sum":222454,"residue":214},{"from_index":1099,"to_index":1563,"sum":224341,"residue":249},{"from_index":1563,"to_index":2027,"sum":204397,"residue":677},{"from_index":2027,"to_index":2491,"sum":206284,"residue":712},{"from_index":2491,"to_index":171,"sum":203471,"residue":677}],"minimal_cycle":[249,214,249,677,712,677],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":249,"start_interval_clock_positions":[171,635],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-172","shape":"Hexagon","alpha_indices":[172,636,1100,1564,2028,2492],"clock_positions":[172,636,1100,1564,2028,2492],"native_values":[611,778,611,315,148,315],"rotation_degrees":22.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[611,778,611,315,148,315],"beta":{"interval_sums":[224275,222057,223812,204463,206681,204000],"interval_residues":[183,743,646,743,183,280],"display_cycle":[183,743,646,743,183,280],"intervals":[{"from_index":172,"to_index":636,"sum":224275,"residue":183},{"from_index":636,"to_index":1100,"sum":222057,"residue":743},{"from_index":1100,"to_index":1564,"sum":223812,"residue":646},{"from_index":1564,"to_index":2028,"sum":204463,"residue":743},{"from_index":2028,"to_index":2492,"sum":206681,"residue":183},{"from_index":2492,"to_index":172,"sum":204000,"residue":280}],"minimal_cycle":[183,743,646,743,183,280],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":183,"start_interval_clock_positions":[172,636],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-173","shape":"Hexagon","alpha_indices":[173,637,1101,1565,2029,2493],"clock_positions":[173,637,1101,1565,2029,2493],"native_values":[529,397,66,397,529,860],"rotation_degrees":22.370689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[529,397,66,397,529,860],"beta":{"interval_sums":[224524,222271,224061,204214,206467,203751],"interval_residues":[432,31,895,494,895,31],"display_cycle":[432,31,895,494,895,31],"intervals":[{"from_index":173,"to_index":637,"sum":224524,"residue":432},{"from_index":637,"to_index":1101,"sum":222271,"residue":31},{"from_index":1101,"to_index":1565,"sum":224061,"residue":895},{"from_index":1565,"to_index":2029,"sum":204214,"residue":494},{"from_index":2029,"to_index":2493,"sum":206467,"residue":895},{"from_index":2493,"to_index":173,"sum":203751,"residue":31}],"minimal_cycle":[432,31,895,494,895,31],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":432,"start_interval_clock_positions":[173,637],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-174","shape":"Hexagon","alpha_indices":[174,638,1102,1566,2030,2494],"clock_positions":[174,638,1102,1566,2030,2494],"native_values":[214,249,677,712,677,249],"rotation_degrees":22.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[214,249,677,712,677,249],"beta":{"interval_sums":[224707,222088,223781,204031,206650,204031],"interval_residues":[615,774,615,311,152,311],"display_cycle":[615,774,615,311,152,311],"intervals":[{"from_index":174,"to_index":638,"sum":224707,"residue":615},{"from_index":638,"to_index":1102,"sum":222088,"residue":774},{"from_index":1102,"to_index":1566,"sum":223781,"residue":615},{"from_index":1566,"to_index":2030,"sum":204031,"residue":311},{"from_index":2030,"to_index":2494,"sum":206650,"residue":152},{"from_index":2494,"to_index":174,"sum":204031,"residue":311}],"minimal_cycle":[615,774,615,311,152,311],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":615,"start_interval_clock_positions":[174,638],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-175","shape":"Hexagon","alpha_indices":[175,639,1103,1567,2031,2495],"clock_positions":[175,639,1103,1567,2031,2495],"native_values":[743,646,743,183,280,183],"rotation_degrees":22.629310344827587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[743,646,743,183,280,183],"beta":{"interval_sums":[224213,222119,223750,204525,206619,204062],"interval_residues":[121,805,584,805,121,342],"display_cycle":[121,805,584,805,121,342],"intervals":[{"from_index":175,"to_index":639,"sum":224213,"residue":121},{"from_index":639,"to_index":1103,"sum":222119,"residue":805},{"from_index":1103,"to_index":1567,"sum":223750,"residue":584},{"from_index":1567,"to_index":2031,"sum":204525,"residue":805},{"from_index":2031,"to_index":2495,"sum":206619,"residue":121},{"from_index":2495,"to_index":175,"sum":204062,"residue":342}],"minimal_cycle":[121,805,584,805,121,342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":121,"start_interval_clock_positions":[175,639],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-176","shape":"Hexagon","alpha_indices":[176,640,1104,1568,2032,2496],"clock_positions":[176,640,1104,1568,2032,2496],"native_values":[31,895,494,895,31,432],"rotation_degrees":22.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,895,494,895,31,432],"beta":{"interval_sums":[224828,221967,223439,203910,206771,204373],"interval_residues":[736,653,273,190,273,653],"display_cycle":[736,653,273,190,273,653],"intervals":[{"from_index":176,"to_index":640,"sum":224828,"residue":736},{"from_index":640,"to_index":1104,"sum":221967,"residue":653},{"from_index":1104,"to_index":1568,"sum":223439,"residue":273},{"from_index":1568,"to_index":2032,"sum":203910,"residue":190},{"from_index":2032,"to_index":2496,"sum":206771,"residue":273},{"from_index":2496,"to_index":176,"sum":204373,"residue":653}],"minimal_cycle":[736,653,273,190,273,653],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":736,"start_interval_clock_positions":[176,640],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-177","shape":"Hexagon","alpha_indices":[177,641,1105,1569,2033,2497],"clock_positions":[177,641,1105,1569,2033,2497],"native_values":[774,615,311,152,311,615],"rotation_degrees":22.887931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[774,615,311,152,311,615],"beta":{"interval_sums":[224949,221846,224023,203789,206892,203789],"interval_residues":[857,532,857,69,394,69],"display_cycle":[857,532,857,69,394,69],"intervals":[{"from_index":177,"to_index":641,"sum":224949,"residue":857},{"from_index":641,"to_index":1105,"sum":221846,"residue":532},{"from_index":1105,"to_index":1569,"sum":224023,"residue":857},{"from_index":1569,"to_index":2033,"sum":203789,"residue":69},{"from_index":2033,"to_index":2497,"sum":206892,"residue":394},{"from_index":2497,"to_index":177,"sum":203789,"residue":69}],"minimal_cycle":[857,532,857,69,394,69],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":857,"start_interval_clock_positions":[177,641],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-178","shape":"Hexagon","alpha_indices":[178,642,1106,1570,2034,2498],"clock_positions":[178,642,1106,1570,2034,2498],"native_values":[805,584,805,121,342,121],"rotation_degrees":23.017241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[805,584,805,121,342,121],"beta":{"interval_sums":[224759,221573,223370,203979,207165,204442],"interval_residues":[667,259,204,259,667,722],"display_cycle":[667,259,204,259,667,722],"intervals":[{"from_index":178,"to_index":642,"sum":224759,"residue":667},{"from_index":642,"to_index":1106,"sum":221573,"residue":259},{"from_index":1106,"to_index":1570,"sum":223370,"residue":204},{"from_index":1570,"to_index":2034,"sum":203979,"residue":259},{"from_index":2034,"to_index":2498,"sum":207165,"residue":667},{"from_index":2498,"to_index":178,"sum":204442,"residue":722}],"minimal_cycle":[667,259,204,259,667,722],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":667,"start_interval_clock_positions":[178,642],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-179","shape":"Hexagon","alpha_indices":[179,643,1107,1571,2035,2499],"clock_positions":[179,643,1107,1571,2035,2499],"native_values":[653,273,190,273,653,736],"rotation_degrees":23.146551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,273,190,273,653,736],"beta":{"interval_sums":[224690,222105,223301,204048,206633,204511],"interval_residues":[598,791,135,328,135,791],"display_cycle":[598,791,135,328,135,791],"intervals":[{"from_index":179,"to_index":643,"sum":224690,"residue":598},{"from_index":643,"to_index":1107,"sum":222105,"residue":791},{"from_index":1107,"to_index":1571,"sum":223301,"residue":135},{"from_index":1571,"to_index":2035,"sum":204048,"residue":328},{"from_index":2035,"to_index":2499,"sum":206633,"residue":135},{"from_index":2499,"to_index":179,"sum":204511,"residue":791}],"minimal_cycle":[598,791,135,328,135,791],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":598,"start_interval_clock_positions":[179,643],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-180","shape":"Hexagon","alpha_indices":[180,644,1108,1572,2036,2500],"clock_positions":[180,644,1108,1572,2036,2500],"native_values":[532,857,69,394,69,857],"rotation_degrees":23.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[532,857,69,394,69,857],"beta":{"interval_sums":[224431,221438,223505,204307,207300,204307],"interval_residues":[339,124,339,587,802,587],"display_cycle":[339,124,339,587,802,587],"intervals":[{"from_index":180,"to_index":644,"sum":224431,"residue":339},{"from_index":644,"to_index":1108,"sum":221438,"residue":124},{"from_index":1108,"to_index":1572,"sum":223505,"residue":339},{"from_index":1572,"to_index":2036,"sum":204307,"residue":587},{"from_index":2036,"to_index":2500,"sum":207300,"residue":802},{"from_index":2500,"to_index":180,"sum":204307,"residue":587}],"minimal_cycle":[339,124,339,587,802,587],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":339,"start_interval_clock_positions":[180,644],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-181","shape":"Hexagon","alpha_indices":[181,645,1109,1573,2037,2501],"clock_positions":[181,645,1109,1573,2037,2501],"native_values":[259,204,259,667,722,667],"rotation_degrees":23.405172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,204,259,667,722,667],"beta":{"interval_sums":[225029,221303,223640,203709,207435,204172],"interval_residues":[11,915,474,915,11,452],"display_cycle":[11,915,474,915,11,452],"intervals":[{"from_index":181,"to_index":645,"sum":225029,"residue":11},{"from_index":645,"to_index":1109,"sum":221303,"residue":915},{"from_index":1109,"to_index":1573,"sum":223640,"residue":474},{"from_index":1573,"to_index":2037,"sum":203709,"residue":915},{"from_index":2037,"to_index":2501,"sum":207435,"residue":11},{"from_index":2501,"to_index":181,"sum":204172,"residue":452}],"minimal_cycle":[11,915,474,915,11,452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":11,"start_interval_clock_positions":[181,645],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-182","shape":"Hexagon","alpha_indices":[182,646,1110,1574,2038,2502],"clock_positions":[182,646,1110,1574,2038,2502],"native_values":[791,135,328,135,791,598],"rotation_degrees":23.53448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[791,135,328,135,791,598],"beta":{"interval_sums":[224442,221427,223979,204296,207311,203833],"interval_residues":[350,113,813,576,813,113],"display_cycle":[350,113,813,576,813,113],"intervals":[{"from_index":182,"to_index":646,"sum":224442,"residue":350},{"from_index":646,"to_index":1110,"sum":221427,"residue":113},{"from_index":1110,"to_index":1574,"sum":223979,"residue":813},{"from_index":1574,"to_index":2038,"sum":204296,"residue":576},{"from_index":2038,"to_index":2502,"sum":207311,"residue":813},{"from_index":2502,"to_index":182,"sum":203833,"residue":113}],"minimal_cycle":[350,113,813,576,813,113],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[182,646],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-183","shape":"Hexagon","alpha_indices":[183,647,1111,1575,2039,2503],"clock_positions":[183,647,1111,1575,2039,2503],"native_values":[124,339,587,802,587,339],"rotation_degrees":23.663793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[124,339,587,802,587,339],"beta":{"interval_sums":[224453,221416,223527,204285,207322,204285],"interval_residues":[361,102,361,565,824,565],"display_cycle":[361,102,361,565,824,565],"intervals":[{"from_index":183,"to_index":647,"sum":224453,"residue":361},{"from_index":647,"to_index":1111,"sum":221416,"residue":102},{"from_index":1111,"to_index":1575,"sum":223527,"residue":361},{"from_index":1575,"to_index":2039,"sum":204285,"residue":565},{"from_index":2039,"to_index":2503,"sum":207322,"residue":824},{"from_index":2503,"to_index":183,"sum":204285,"residue":565}],"minimal_cycle":[361,102,361,565,824,565],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":361,"start_interval_clock_positions":[183,647],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-184","shape":"Hexagon","alpha_indices":[184,648,1112,1576,2040,2504],"clock_positions":[184,648,1112,1576,2040,2504],"native_values":[915,474,915,11,452,11],"rotation_degrees":23.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[915,474,915,11,452,11],"beta":{"interval_sums":[223877,221529,223414,204861,207209,204398],"interval_residues":[711,215,248,215,711,678],"display_cycle":[711,215,248,215,711,678],"intervals":[{"from_index":184,"to_index":648,"sum":223877,"residue":711},{"from_index":648,"to_index":1112,"sum":221529,"residue":215},{"from_index":1112,"to_index":1576,"sum":223414,"residue":248},{"from_index":1576,"to_index":2040,"sum":204861,"residue":215},{"from_index":2040,"to_index":2504,"sum":207209,"residue":711},{"from_index":2504,"to_index":184,"sum":204398,"residue":678}],"minimal_cycle":[711,215,248,215,711,678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":711,"start_interval_clock_positions":[184,648],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-185","shape":"Hexagon","alpha_indices":[185,649,1113,1577,2041,2505],"clock_positions":[185,649,1113,1577,2041,2505],"native_values":[113,813,576,813,113,350],"rotation_degrees":23.92241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[113,813,576,813,113,350],"beta":{"interval_sums":[224238,221631,222849,204500,207107,204963],"interval_residues":[146,317,609,780,609,317],"display_cycle":[146,317,609,780,609,317],"intervals":[{"from_index":185,"to_index":649,"sum":224238,"residue":146},{"from_index":649,"to_index":1113,"sum":221631,"residue":317},{"from_index":1113,"to_index":1577,"sum":222849,"residue":609},{"from_index":1577,"to_index":2041,"sum":204500,"residue":780},{"from_index":2041,"to_index":2505,"sum":207107,"residue":609},{"from_index":2505,"to_index":185,"sum":204963,"residue":317}],"minimal_cycle":[146,317,609,780,609,317],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[185,649],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-186","shape":"Hexagon","alpha_indices":[186,650,1114,1578,2042,2506],"clock_positions":[186,650,1114,1578,2042,2506],"native_values":[102,361,565,824,565,361],"rotation_degrees":24.051724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[102,361,565,824,565,361],"beta":{"interval_sums":[224949,221846,223097,203789,206892,204715],"interval_residues":[857,532,857,69,394,69],"display_cycle":[857,532,857,69,394,69],"intervals":[{"from_index":186,"to_index":650,"sum":224949,"residue":857},{"from_index":650,"to_index":1114,"sum":221846,"residue":532},{"from_index":1114,"to_index":1578,"sum":223097,"residue":857},{"from_index":1578,"to_index":2042,"sum":203789,"residue":69},{"from_index":2042,"to_index":2506,"sum":206892,"residue":394},{"from_index":2506,"to_index":186,"sum":204715,"residue":69}],"minimal_cycle":[857,532,857,69,394,69],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":857,"start_interval_clock_positions":[186,650],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-187","shape":"Hexagon","alpha_indices":[187,651,1115,1579,2043,2507],"clock_positions":[187,651,1115,1579,2043,2507],"native_values":[215,248,215,711,678,711],"rotation_degrees":24.18103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[215,248,215,711,678,711],"beta":{"interval_sums":[225095,222163,223706,203643,206575,204106],"interval_residues":[77,849,540,849,77,386],"display_cycle":[77,849,540,849,77,386],"intervals":[{"from_index":187,"to_index":651,"sum":225095,"residue":77},{"from_index":651,"to_index":1115,"sum":222163,"residue":849},{"from_index":1115,"to_index":1579,"sum":223706,"residue":540},{"from_index":1579,"to_index":2043,"sum":203643,"residue":849},{"from_index":2043,"to_index":2507,"sum":206575,"residue":77},{"from_index":2507,"to_index":187,"sum":204106,"residue":386}],"minimal_cycle":[77,849,540,849,77,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":77,"start_interval_clock_positions":[187,651],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-188","shape":"Hexagon","alpha_indices":[188,652,1116,1580,2044,2508],"clock_positions":[188,652,1116,1580,2044,2508],"native_values":[317,609,780,609,317,146],"rotation_degrees":24.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,609,780,609,317,146],"beta":{"interval_sums":[225026,221769,223637,203712,206969,204175],"interval_residues":[8,455,471,918,471,455],"display_cycle":[8,455,471,918,471,455],"intervals":[{"from_index":188,"to_index":652,"sum":225026,"residue":8},{"from_index":652,"to_index":1116,"sum":221769,"residue":455},{"from_index":1116,"to_index":1580,"sum":223637,"residue":471},{"from_index":1580,"to_index":2044,"sum":203712,"residue":918},{"from_index":2044,"to_index":2508,"sum":206969,"residue":471},{"from_index":2508,"to_index":188,"sum":204175,"residue":455}],"minimal_cycle":[8,455,471,918,471,455],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[188,652],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-189","shape":"Hexagon","alpha_indices":[189,653,1117,1581,2045,2509],"clock_positions":[189,653,1117,1581,2045,2509],"native_values":[532,857,69,394,69,857],"rotation_degrees":24.439655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[532,857,69,394,69,857],"beta":{"interval_sums":[225103,221692,224177,203635,207046,203635],"interval_residues":[85,378,85,841,548,841],"display_cycle":[85,378,85,841,548,841],"intervals":[{"from_index":189,"to_index":653,"sum":225103,"residue":85},{"from_index":653,"to_index":1117,"sum":221692,"residue":378},{"from_index":1117,"to_index":1581,"sum":224177,"residue":85},{"from_index":1581,"to_index":2045,"sum":203635,"residue":841},{"from_index":2045,"to_index":2509,"sum":207046,"residue":548},{"from_index":2509,"to_index":189,"sum":203635,"residue":841}],"minimal_cycle":[85,378,85,841,548,841],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":85,"start_interval_clock_positions":[189,653],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-190","shape":"Hexagon","alpha_indices":[190,654,1118,1582,2046,2510],"clock_positions":[190,654,1118,1582,2046,2510],"native_values":[849,540,849,77,386,77],"rotation_degrees":24.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[849,540,849,77,386,77],"beta":{"interval_sums":[225111,221221,223722,203627,207517,204090],"interval_residues":[93,833,556,833,93,370],"display_cycle":[93,833,556,833,93,370],"intervals":[{"from_index":190,"to_index":654,"sum":225111,"residue":93},{"from_index":654,"to_index":1118,"sum":221221,"residue":833},{"from_index":1118,"to_index":1582,"sum":223722,"residue":556},{"from_index":1582,"to_index":2046,"sum":203627,"residue":833},{"from_index":2046,"to_index":2510,"sum":207517,"residue":93},{"from_index":2510,"to_index":190,"sum":204090,"residue":370}],"minimal_cycle":[93,833,556,833,93,370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":93,"start_interval_clock_positions":[190,654],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-191","shape":"Hexagon","alpha_indices":[191,655,1119,1583,2047,2511],"clock_positions":[191,655,1119,1583,2047,2511],"native_values":[455,471,918,471,455,8],"rotation_degrees":24.698275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[455,471,918,471,455,8],"beta":{"interval_sums":[225196,221599,222881,203542,207139,204931],"interval_residues":[178,285,641,748,641,285],"display_cycle":[178,285,641,748,641,285],"intervals":[{"from_index":191,"to_index":655,"sum":225196,"residue":178},{"from_index":655,"to_index":1119,"sum":221599,"residue":285},{"from_index":1119,"to_index":1583,"sum":222881,"residue":641},{"from_index":1583,"to_index":2047,"sum":203542,"residue":748},{"from_index":2047,"to_index":2511,"sum":207139,"residue":641},{"from_index":2511,"to_index":191,"sum":204931,"residue":285}],"minimal_cycle":[178,285,641,748,641,285],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":178,"start_interval_clock_positions":[191,655],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-192","shape":"Hexagon","alpha_indices":[192,656,1120,1584,2048,2512],"clock_positions":[192,656,1120,1584,2048,2512],"native_values":[378,85,841,548,841,85],"rotation_degrees":24.82758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[378,85,841,548,841,85],"beta":{"interval_sums":[225289,222432,222511,203449,206306,205301],"interval_residues":[271,192,271,655,734,655],"display_cycle":[271,192,271,655,734,655],"intervals":[{"from_index":192,"to_index":656,"sum":225289,"residue":271},{"from_index":656,"to_index":1120,"sum":222432,"residue":192},{"from_index":1120,"to_index":1584,"sum":222511,"residue":271},{"from_index":1584,"to_index":2048,"sum":203449,"residue":655},{"from_index":2048,"to_index":2512,"sum":206306,"residue":734},{"from_index":2512,"to_index":192,"sum":205301,"residue":655}],"minimal_cycle":[271,192,271,655,734,655],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":271,"start_interval_clock_positions":[192,656],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-193","shape":"Hexagon","alpha_indices":[193,657,1121,1585,2049,2513],"clock_positions":[193,657,1121,1585,2049,2513],"native_values":[833,556,833,93,370,93],"rotation_degrees":24.95689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[833,556,833,93,370,93],"beta":{"interval_sums":[224541,222717,222226,204197,206021,205586],"interval_residues":[449,477,912,477,449,14],"display_cycle":[449,477,912,477,449,14],"intervals":[{"from_index":193,"to_index":657,"sum":224541,"residue":449},{"from_index":657,"to_index":1121,"sum":222717,"residue":477},{"from_index":1121,"to_index":1585,"sum":222226,"residue":912},{"from_index":1585,"to_index":2049,"sum":204197,"residue":477},{"from_index":2049,"to_index":2513,"sum":206021,"residue":449},{"from_index":2513,"to_index":193,"sum":205586,"residue":14}],"minimal_cycle":[449,477,912,477,449,14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":449,"start_interval_clock_positions":[193,657],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-194","shape":"Hexagon","alpha_indices":[194,658,1122,1586,2050,2514],"clock_positions":[194,658,1122,1586,2050,2514],"native_values":[285,641,748,641,285,178],"rotation_degrees":25.086206896551722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[285,641,748,641,285,178],"beta":{"interval_sums":[224812,222909,221571,203926,205829,206241],"interval_residues":[720,669,257,206,257,669],"display_cycle":[720,669,257,206,257,669],"intervals":[{"from_index":194,"to_index":658,"sum":224812,"residue":720},{"from_index":658,"to_index":1122,"sum":222909,"residue":669},{"from_index":1122,"to_index":1586,"sum":221571,"residue":257},{"from_index":1586,"to_index":2050,"sum":203926,"residue":206},{"from_index":2050,"to_index":2514,"sum":205829,"residue":257},{"from_index":2514,"to_index":194,"sum":206241,"residue":669}],"minimal_cycle":[720,669,257,206,257,669],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":720,"start_interval_clock_positions":[194,658],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-195","shape":"Hexagon","alpha_indices":[195,659,1123,1587,2051,2515],"clock_positions":[195,659,1123,1587,2051,2515],"native_values":[192,271,655,734,655,271],"rotation_degrees":25.21551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[192,271,655,734,655,271],"beta":{"interval_sums":[225261,223386,221557,203477,205352,206255],"interval_residues":[243,220,243,683,706,683],"display_cycle":[243,220,243,683,706,683],"intervals":[{"from_index":195,"to_index":659,"sum":225261,"residue":243},{"from_index":659,"to_index":1123,"sum":223386,"residue":220},{"from_index":1123,"to_index":1587,"sum":221557,"residue":243},{"from_index":1587,"to_index":2051,"sum":203477,"residue":683},{"from_index":2051,"to_index":2515,"sum":205352,"residue":706},{"from_index":2515,"to_index":195,"sum":206255,"residue":683}],"minimal_cycle":[243,220,243,683,706,683],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":243,"start_interval_clock_positions":[195,659],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-196","shape":"Hexagon","alpha_indices":[196,660,1124,1588,2052,2516],"clock_positions":[196,660,1124,1588,2052,2516],"native_values":[477,912,477,449,14,449],"rotation_degrees":25.344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,912,477,449,14,449],"beta":{"interval_sums":[225055,223129,221814,203683,205609,205998],"interval_residues":[37,889,500,889,37,426],"display_cycle":[37,889,500,889,37,426],"intervals":[{"from_index":196,"to_index":660,"sum":225055,"residue":37},{"from_index":660,"to_index":1124,"sum":223129,"residue":889},{"from_index":1124,"to_index":1588,"sum":221814,"residue":500},{"from_index":1588,"to_index":2052,"sum":203683,"residue":889},{"from_index":2052,"to_index":2516,"sum":205609,"residue":37},{"from_index":2516,"to_index":196,"sum":205998,"residue":426}],"minimal_cycle":[37,889,500,889,37,426],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":37,"start_interval_clock_positions":[196,660],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-197","shape":"Hexagon","alpha_indices":[197,661,1125,1589,2053,2517],"clock_positions":[197,661,1125,1589,2053,2517],"native_values":[669,257,206,257,669,720],"rotation_degrees":25.474137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,257,206,257,669,720],"beta":{"interval_sums":[225298,223349,222057,203440,205389,205755],"interval_residues":[280,183,743,646,743,183],"display_cycle":[280,183,743,646,743,183],"intervals":[{"from_index":197,"to_index":661,"sum":225298,"residue":280},{"from_index":661,"to_index":1125,"sum":223349,"residue":183},{"from_index":1125,"to_index":1589,"sum":222057,"residue":743},{"from_index":1589,"to_index":2053,"sum":203440,"residue":646},{"from_index":2053,"to_index":2517,"sum":205389,"residue":743},{"from_index":2517,"to_index":197,"sum":205755,"residue":183}],"minimal_cycle":[280,183,743,646,743,183],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":280,"start_interval_clock_positions":[197,661],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-198","shape":"Hexagon","alpha_indices":[198,662,1126,1590,2054,2518],"clock_positions":[198,662,1126,1590,2054,2518],"native_values":[220,243,683,706,683,243],"rotation_degrees":25.603448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[220,243,683,706,683,243],"beta":{"interval_sums":[225335,223312,221631,203403,205426,206181],"interval_residues":[317,146,317,609,780,609],"display_cycle":[317,146,317,609,780,609],"intervals":[{"from_index":198,"to_index":662,"sum":225335,"residue":317},{"from_index":662,"to_index":1126,"sum":223312,"residue":146},{"from_index":1126,"to_index":1590,"sum":221631,"residue":317},{"from_index":1590,"to_index":2054,"sum":203403,"residue":609},{"from_index":2054,"to_index":2518,"sum":205426,"residue":780},{"from_index":2518,"to_index":198,"sum":206181,"residue":609}],"minimal_cycle":[317,146,317,609,780,609],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":317,"start_interval_clock_positions":[198,662],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-199","shape":"Hexagon","alpha_indices":[199,663,1127,1591,2055,2519],"clock_positions":[199,663,1127,1591,2055,2519],"native_values":[889,500,889,37,426,37],"rotation_degrees":25.732758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[889,500,889,37,426,37],"beta":{"interval_sums":[224689,223495,221448,204049,205243,206364],"interval_residues":[597,329,134,329,597,792],"display_cycle":[597,329,134,329,597,792],"intervals":[{"from_index":199,"to_index":663,"sum":224689,"residue":597},{"from_index":663,"to_index":1127,"sum":223495,"residue":329},{"from_index":1127,"to_index":1591,"sum":221448,"residue":134},{"from_index":1591,"to_index":2055,"sum":204049,"residue":329},{"from_index":2055,"to_index":2519,"sum":205243,"residue":597},{"from_index":2519,"to_index":199,"sum":206364,"residue":792}],"minimal_cycle":[597,329,134,329,597,792],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":597,"start_interval_clock_positions":[199,663],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-200","shape":"Hexagon","alpha_indices":[200,664,1128,1592,2056,2520],"clock_positions":[200,664,1128,1592,2056,2520],"native_values":[183,743,646,743,183,280],"rotation_degrees":25.862068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[183,743,646,743,183,280],"beta":{"interval_sums":[225006,223641,220839,203732,205097,206973],"interval_residues":[914,475,451,12,451,475],"display_cycle":[914,475,451,12,451,475],"intervals":[{"from_index":200,"to_index":664,"sum":225006,"residue":914},{"from_index":664,"to_index":1128,"sum":223641,"residue":475},{"from_index":1128,"to_index":1592,"sum":220839,"residue":451},{"from_index":1592,"to_index":2056,"sum":203732,"residue":12},{"from_index":2056,"to_index":2520,"sum":205097,"residue":451},{"from_index":2520,"to_index":200,"sum":206973,"residue":475}],"minimal_cycle":[914,475,451,12,451,475],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":914,"start_interval_clock_positions":[200,664],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-201","shape":"Hexagon","alpha_indices":[201,665,1129,1593,2057,2521],"clock_positions":[201,665,1129,1593,2057,2521],"native_values":[146,317,609,780,609,317],"rotation_degrees":25.99137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[146,317,609,780,609,317],"beta":{"interval_sums":[225603,223970,220973,203135,204768,206839],"interval_residues":[585,804,585,341,122,341],"display_cycle":[585,804,585,341,122,341],"intervals":[{"from_index":201,"to_index":665,"sum":225603,"residue":585},{"from_index":665,"to_index":1129,"sum":223970,"residue":804},{"from_index":1129,"to_index":1593,"sum":220973,"residue":585},{"from_index":1593,"to_index":2057,"sum":203135,"residue":341},{"from_index":2057,"to_index":2521,"sum":204768,"residue":122},{"from_index":2521,"to_index":201,"sum":206839,"residue":341}],"minimal_cycle":[585,804,585,341,122,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":585,"start_interval_clock_positions":[201,665],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-202","shape":"Hexagon","alpha_indices":[202,666,1130,1594,2058,2522],"clock_positions":[202,666,1130,1594,2058,2522],"native_values":[329,134,329,597,792,597],"rotation_degrees":26.120689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[329,134,329,597,792,597],"beta":{"interval_sums":[225591,224445,221424,203147,204293,206388],"interval_residues":[573,353,110,353,573,816],"display_cycle":[573,353,110,353,573,816],"intervals":[{"from_index":202,"to_index":666,"sum":225591,"residue":573},{"from_index":666,"to_index":1130,"sum":224445,"residue":353},{"from_index":1130,"to_index":1594,"sum":221424,"residue":110},{"from_index":1594,"to_index":2058,"sum":203147,"residue":353},{"from_index":2058,"to_index":2522,"sum":204293,"residue":573},{"from_index":2522,"to_index":202,"sum":206388,"residue":816}],"minimal_cycle":[573,353,110,353,573,816],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":573,"start_interval_clock_positions":[202,666],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-203","shape":"Hexagon","alpha_indices":[203,667,1131,1595,2059,2523],"clock_positions":[203,667,1131,1595,2059,2523],"native_values":[475,451,12,451,475,914],"rotation_degrees":26.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[475,451,12,451,475,914],"beta":{"interval_sums":[225250,224323,222009,203488,204415,205803],"interval_residues":[232,231,695,694,695,231],"display_cycle":[232,231,695,694,695,231],"intervals":[{"from_index":203,"to_index":667,"sum":225250,"residue":232},{"from_index":667,"to_index":1131,"sum":224323,"residue":231},{"from_index":1131,"to_index":1595,"sum":222009,"residue":695},{"from_index":1595,"to_index":2059,"sum":203488,"residue":694},{"from_index":2059,"to_index":2523,"sum":204415,"residue":695},{"from_index":2523,"to_index":203,"sum":205803,"residue":231}],"minimal_cycle":[232,231,695,694,695,231],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[203,667],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-204","shape":"Hexagon","alpha_indices":[204,668,1132,1596,2060,2524],"clock_positions":[204,668,1132,1596,2060,2524],"native_values":[804,585,341,122,341,585],"rotation_degrees":26.379310344827587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[804,585,341,122,341,585],"beta":{"interval_sums":[224897,223750,222119,203841,204988,205693],"interval_residues":[805,584,805,121,342,121],"display_cycle":[805,584,805,121,342,121],"intervals":[{"from_index":204,"to_index":668,"sum":224897,"residue":805},{"from_index":668,"to_index":1132,"sum":223750,"residue":584},{"from_index":1132,"to_index":1596,"sum":222119,"residue":805},{"from_index":1596,"to_index":2060,"sum":203841,"residue":121},{"from_index":2060,"to_index":2524,"sum":204988,"residue":342},{"from_index":2524,"to_index":204,"sum":205693,"residue":121}],"minimal_cycle":[805,584,805,121,342,121],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":805,"start_interval_clock_positions":[204,668],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-205","shape":"Hexagon","alpha_indices":[205,669,1133,1597,2061,2525],"clock_positions":[205,669,1133,1597,2061,2525],"native_values":[353,110,353,573,816,573],"rotation_degrees":26.50862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[353,110,353,573,816,573],"beta":{"interval_sums":[225129,223981,221888,203609,204757,205924],"interval_residues":[111,815,574,815,111,352],"display_cycle":[111,815,574,815,111,352],"intervals":[{"from_index":205,"to_index":669,"sum":225129,"residue":111},{"from_index":669,"to_index":1133,"sum":223981,"residue":815},{"from_index":1133,"to_index":1597,"sum":221888,"residue":574},{"from_index":1597,"to_index":2061,"sum":203609,"residue":815},{"from_index":2061,"to_index":2525,"sum":204757,"residue":111},{"from_index":2525,"to_index":205,"sum":205924,"residue":352}],"minimal_cycle":[111,815,574,815,111,352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":111,"start_interval_clock_positions":[205,669],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-206","shape":"Hexagon","alpha_indices":[206,670,1134,1598,2062,2526],"clock_positions":[206,670,1134,1598,2062,2526],"native_values":[231,695,694,695,231,232],"rotation_degrees":26.637931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[231,695,694,695,231,232],"beta":{"interval_sums":[225008,223639,221767,203730,205099,206045],"interval_residues":[916,473,453,10,453,473],"display_cycle":[916,473,453,10,453,473],"intervals":[{"from_index":206,"to_index":670,"sum":225008,"residue":916},{"from_index":670,"to_index":1134,"sum":223639,"residue":473},{"from_index":1134,"to_index":1598,"sum":221767,"residue":453},{"from_index":1598,"to_index":2062,"sum":203730,"residue":10},{"from_index":2062,"to_index":2526,"sum":205099,"residue":453},{"from_index":2526,"to_index":206,"sum":206045,"residue":473}],"minimal_cycle":[916,473,453,10,453,473],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":916,"start_interval_clock_positions":[206,670],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-207","shape":"Hexagon","alpha_indices":[207,671,1135,1599,2063,2527],"clock_positions":[207,671,1135,1599,2063,2527],"native_values":[584,805,121,342,121,805],"rotation_degrees":26.767241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[584,805,121,342,121,805],"beta":{"interval_sums":[225119,223528,222341,203619,205210,205471],"interval_residues":[101,362,101,825,564,825],"display_cycle":[101,362,101,825,564,825],"intervals":[{"from_index":207,"to_index":671,"sum":225119,"residue":101},{"from_index":671,"to_index":1135,"sum":223528,"residue":362},{"from_index":1135,"to_index":1599,"sum":222341,"residue":101},{"from_index":1599,"to_index":2063,"sum":203619,"residue":825},{"from_index":2063,"to_index":2527,"sum":205210,"residue":564},{"from_index":2527,"to_index":207,"sum":205471,"residue":825}],"minimal_cycle":[101,362,101,825,564,825],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":101,"start_interval_clock_positions":[207,671],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-208","shape":"Hexagon","alpha_indices":[208,672,1136,1600,2064,2528],"clock_positions":[208,672,1136,1600,2064,2528],"native_values":[815,574,815,111,352,111],"rotation_degrees":26.896551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[815,574,815,111,352,111],"beta":{"interval_sums":[225109,223075,221868,203629,205663,205944],"interval_residues":[91,835,554,835,91,372],"display_cycle":[91,835,554,835,91,372],"intervals":[{"from_index":208,"to_index":672,"sum":225109,"residue":91},{"from_index":672,"to_index":1136,"sum":223075,"residue":835},{"from_index":1136,"to_index":1600,"sum":221868,"residue":554},{"from_index":1600,"to_index":2064,"sum":203629,"residue":835},{"from_index":2064,"to_index":2528,"sum":205663,"residue":91},{"from_index":2528,"to_index":208,"sum":205944,"residue":372}],"minimal_cycle":[91,835,554,835,91,372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":91,"start_interval_clock_positions":[208,672],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-209","shape":"Hexagon","alpha_indices":[209,673,1137,1601,2065,2529],"clock_positions":[209,673,1137,1601,2065,2529],"native_values":[473,453,10,453,473,916],"rotation_degrees":27.025862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,453,10,453,473,916],"beta":{"interval_sums":[225210,223437,221969,203528,205301,205843],"interval_residues":[192,271,655,734,655,271],"display_cycle":[192,271,655,734,655,271],"intervals":[{"from_index":209,"to_index":673,"sum":225210,"residue":192},{"from_index":673,"to_index":1137,"sum":223437,"residue":271},{"from_index":1137,"to_index":1601,"sum":221969,"residue":655},{"from_index":1601,"to_index":2065,"sum":203528,"residue":734},{"from_index":2065,"to_index":2529,"sum":205301,"residue":655},{"from_index":2529,"to_index":209,"sum":205843,"residue":271}],"minimal_cycle":[192,271,655,734,655,271],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[209,673],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-210","shape":"Hexagon","alpha_indices":[210,674,1138,1602,2066,2530],"clock_positions":[210,674,1138,1602,2066,2530],"native_values":[362,101,825,564,825,101],"rotation_degrees":27.155172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[362,101,825,564,825,101],"beta":{"interval_sums":[225301,223346,221597,203437,205392,206215],"interval_residues":[283,180,283,643,746,643],"display_cycle":[283,180,283,643,746,643],"intervals":[{"from_index":210,"to_index":674,"sum":225301,"residue":283},{"from_index":674,"to_index":1138,"sum":223346,"residue":180},{"from_index":1138,"to_index":1602,"sum":221597,"residue":283},{"from_index":1602,"to_index":2066,"sum":203437,"residue":643},{"from_index":2066,"to_index":2530,"sum":205392,"residue":746},{"from_index":2530,"to_index":210,"sum":206215,"residue":643}],"minimal_cycle":[283,180,283,643,746,643],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":283,"start_interval_clock_positions":[210,674],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-211","shape":"Hexagon","alpha_indices":[211,675,1139,1603,2067,2531],"clock_positions":[211,675,1139,1603,2067,2531],"native_values":[835,554,835,91,372,91],"rotation_degrees":27.28448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[835,554,835,91,372,91],"beta":{"interval_sums":[224567,223617,221326,204171,205121,206486],"interval_residues":[475,451,12,451,475,914],"display_cycle":[475,451,12,451,475,914],"intervals":[{"from_index":211,"to_index":675,"sum":224567,"residue":475},{"from_index":675,"to_index":1139,"sum":223617,"residue":451},{"from_index":1139,"to_index":1603,"sum":221326,"residue":12},{"from_index":1603,"to_index":2067,"sum":204171,"residue":451},{"from_index":2067,"to_index":2531,"sum":205121,"residue":475},{"from_index":2531,"to_index":211,"sum":206486,"residue":914}],"minimal_cycle":[475,451,12,451,475,914],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":475,"start_interval_clock_positions":[211,675],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-212","shape":"Hexagon","alpha_indices":[212,676,1140,1604,2068,2532],"clock_positions":[212,676,1140,1604,2068,2532],"native_values":[271,655,734,655,271,192],"rotation_degrees":27.413793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[271,655,734,655,271,192],"beta":{"interval_sums":[224850,223797,220683,203888,204941,207129],"interval_residues":[758,631,295,168,295,631],"display_cycle":[758,631,295,168,295,631],"intervals":[{"from_index":212,"to_index":676,"sum":224850,"residue":758},{"from_index":676,"to_index":1140,"sum":223797,"residue":631},{"from_index":1140,"to_index":1604,"sum":220683,"residue":295},{"from_index":1604,"to_index":2068,"sum":203888,"residue":168},{"from_index":2068,"to_index":2532,"sum":204941,"residue":295},{"from_index":2532,"to_index":212,"sum":207129,"residue":631}],"minimal_cycle":[758,631,295,168,295,631],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":758,"start_interval_clock_positions":[212,676],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-213","shape":"Hexagon","alpha_indices":[213,677,1141,1605,2069,2533],"clock_positions":[213,677,1141,1605,2069,2533],"native_values":[180,283,643,746,643,283],"rotation_degrees":27.54310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,283,643,746,643,283],"beta":{"interval_sums":[225325,224248,220695,203413,204490,207117],"interval_residues":[307,156,307,619,770,619],"display_cycle":[307,156,307,619,770,619],"intervals":[{"from_index":213,"to_index":677,"sum":225325,"residue":307},{"from_index":677,"to_index":1141,"sum":224248,"residue":156},{"from_index":1141,"to_index":1605,"sum":220695,"residue":307},{"from_index":1605,"to_index":2069,"sum":203413,"residue":619},{"from_index":2069,"to_index":2533,"sum":204490,"residue":770},{"from_index":2533,"to_index":213,"sum":207117,"residue":619}],"minimal_cycle":[307,156,307,619,770,619],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":307,"start_interval_clock_positions":[213,677],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-214","shape":"Hexagon","alpha_indices":[214,678,1142,1606,2070,2534],"clock_positions":[214,678,1142,1606,2070,2534],"native_values":[451,12,451,475,914,475],"rotation_degrees":27.67241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,12,451,475,914,475],"beta":{"interval_sums":[225157,224879,220990,203581,203859,206822],"interval_residues":[139,787,602,787,139,324],"display_cycle":[139,787,602,787,139,324],"intervals":[{"from_index":214,"to_index":678,"sum":225157,"residue":139},{"from_index":678,"to_index":1142,"sum":224879,"residue":787},{"from_index":1142,"to_index":1606,"sum":220990,"residue":602},{"from_index":1606,"to_index":2070,"sum":203581,"residue":787},{"from_index":2070,"to_index":2534,"sum":203859,"residue":139},{"from_index":2534,"to_index":214,"sum":206822,"residue":324}],"minimal_cycle":[139,787,602,787,139,324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":139,"start_interval_clock_positions":[214,678],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-215","shape":"Hexagon","alpha_indices":[215,679,1143,1607,2071,2535],"clock_positions":[215,679,1143,1607,2071,2535],"native_values":[631,295,168,295,631,758],"rotation_degrees":27.801724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[631,295,168,295,631,758],"beta":{"interval_sums":[224538,225035,221297,204200,203703,206515],"interval_residues":[446,17,909,480,909,17],"display_cycle":[446,17,909,480,909,17],"intervals":[{"from_index":215,"to_index":679,"sum":224538,"residue":446},{"from_index":679,"to_index":1143,"sum":225035,"residue":17},{"from_index":1143,"to_index":1607,"sum":221297,"residue":909},{"from_index":1607,"to_index":2071,"sum":204200,"residue":480},{"from_index":2071,"to_index":2535,"sum":203703,"residue":909},{"from_index":2535,"to_index":215,"sum":206515,"residue":17}],"minimal_cycle":[446,17,909,480,909,17],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[215,679],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-216","shape":"Hexagon","alpha_indices":[216,680,1144,1608,2072,2536],"clock_positions":[216,680,1144,1608,2072,2536],"native_values":[156,307,619,770,619,307],"rotation_degrees":27.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[156,307,619,770,619,307],"beta":{"interval_sums":[224677,224896,220973,204061,203842,206839],"interval_residues":[585,804,585,341,122,341],"display_cycle":[585,804,585,341,122,341],"intervals":[{"from_index":216,"to_index":680,"sum":224677,"residue":585},{"from_index":680,"to_index":1144,"sum":224896,"residue":804},{"from_index":1144,"to_index":1608,"sum":220973,"residue":585},{"from_index":1608,"to_index":2072,"sum":204061,"residue":341},{"from_index":2072,"to_index":2536,"sum":203842,"residue":122},{"from_index":2536,"to_index":216,"sum":206839,"residue":341}],"minimal_cycle":[585,804,585,341,122,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":585,"start_interval_clock_positions":[216,680],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-217","shape":"Hexagon","alpha_indices":[217,681,1145,1609,2073,2537],"clock_positions":[217,681,1145,1609,2073,2537],"native_values":[787,602,787,139,324,139],"rotation_degrees":28.060344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[787,602,787,139,324,139],"beta":{"interval_sums":[224197,224913,220956,204541,203825,206856],"interval_residues":[105,821,568,821,105,358],"display_cycle":[105,821,568,821,105,358],"intervals":[{"from_index":217,"to_index":681,"sum":224197,"residue":105},{"from_index":681,"to_index":1145,"sum":224913,"residue":821},{"from_index":1145,"to_index":1609,"sum":220956,"residue":568},{"from_index":1609,"to_index":2073,"sum":204541,"residue":821},{"from_index":2073,"to_index":2537,"sum":203825,"residue":105},{"from_index":2537,"to_index":217,"sum":206856,"residue":358}],"minimal_cycle":[105,821,568,821,105,358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":105,"start_interval_clock_positions":[217,681],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-218","shape":"Hexagon","alpha_indices":[218,682,1146,1610,2074,2538],"clock_positions":[218,682,1146,1610,2074,2538],"native_values":[17,909,480,909,17,446],"rotation_degrees":28.189655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,909,480,909,17,446],"beta":{"interval_sums":[224782,224791,220615,203956,203947,207197],"interval_residues":[690,699,227,236,227,699],"display_cycle":[690,699,227,236,227,699],"intervals":[{"from_index":218,"to_index":682,"sum":224782,"residue":690},{"from_index":682,"to_index":1146,"sum":224791,"residue":699},{"from_index":1146,"to_index":1610,"sum":220615,"residue":227},{"from_index":1610,"to_index":2074,"sum":203956,"residue":236},{"from_index":2074,"to_index":2538,"sum":203947,"residue":227},{"from_index":2538,"to_index":218,"sum":207197,"residue":699}],"minimal_cycle":[690,699,227,236,227,699],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":690,"start_interval_clock_positions":[218,682],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-219","shape":"Hexagon","alpha_indices":[219,683,1147,1611,2075,2539],"clock_positions":[219,683,1147,1611,2075,2539],"native_values":[804,585,341,122,341,585],"rotation_degrees":28.31896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[804,585,341,122,341,585],"beta":{"interval_sums":[224887,224686,221183,203851,204052,206629],"interval_residues":[795,594,795,131,332,131],"display_cycle":[795,594,795,131,332,131],"intervals":[{"from_index":219,"to_index":683,"sum":224887,"residue":795},{"from_index":683,"to_index":1147,"sum":224686,"residue":594},{"from_index":1147,"to_index":1611,"sum":221183,"residue":795},{"from_index":1611,"to_index":2075,"sum":203851,"residue":131},{"from_index":2075,"to_index":2539,"sum":204052,"residue":332},{"from_index":2539,"to_index":219,"sum":206629,"residue":131}],"minimal_cycle":[795,594,795,131,332,131],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":795,"start_interval_clock_positions":[219,683],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-220","shape":"Hexagon","alpha_indices":[220,684,1148,1612,2076,2540],"clock_positions":[220,684,1148,1612,2076,2540],"native_values":[821,568,821,105,358,105],"rotation_degrees":28.448275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[821,568,821,105,358,105],"beta":{"interval_sums":[224651,224459,220484,204087,204279,207328],"interval_residues":[559,367,96,367,559,830],"display_cycle":[559,367,96,367,559,830],"intervals":[{"from_index":220,"to_index":684,"sum":224651,"residue":559},{"from_index":684,"to_index":1148,"sum":224459,"residue":367},{"from_index":1148,"to_index":1612,"sum":220484,"residue":96},{"from_index":1612,"to_index":2076,"sum":204087,"residue":367},{"from_index":2076,"to_index":2540,"sum":204279,"residue":559},{"from_index":2540,"to_index":220,"sum":207328,"residue":830}],"minimal_cycle":[559,367,96,367,559,830],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":559,"start_interval_clock_positions":[220,684],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-221","shape":"Hexagon","alpha_indices":[221,685,1149,1613,2077,2541],"clock_positions":[221,685,1149,1613,2077,2541],"native_values":[699,227,236,227,699,690],"rotation_degrees":28.57758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[699,227,236,227,699,690],"beta":{"interval_sums":[224520,225053,220353,204218,203685,207459],"interval_residues":[428,35,891,498,891,35],"display_cycle":[428,35,891,498,891,35],"intervals":[{"from_index":221,"to_index":685,"sum":224520,"residue":428},{"from_index":685,"to_index":1149,"sum":225053,"residue":35},{"from_index":1149,"to_index":1613,"sum":220353,"residue":891},{"from_index":1613,"to_index":2077,"sum":204218,"residue":498},{"from_index":2077,"to_index":2541,"sum":203685,"residue":891},{"from_index":2541,"to_index":221,"sum":207459,"residue":35}],"minimal_cycle":[428,35,891,498,891,35],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[221,685],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-222","shape":"Hexagon","alpha_indices":[222,686,1150,1614,2078,2542],"clock_positions":[222,686,1150,1614,2078,2542],"native_values":[594,795,131,332,131,795],"rotation_degrees":28.70689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[594,795,131,332,131,795],"beta":{"interval_sums":[224153,224494,220449,204585,204244,207363],"interval_residues":[61,402,61,865,524,865],"display_cycle":[61,402,61,865,524,865],"intervals":[{"from_index":222,"to_index":686,"sum":224153,"residue":61},{"from_index":686,"to_index":1150,"sum":224494,"residue":402},{"from_index":1150,"to_index":1614,"sum":220449,"residue":61},{"from_index":1614,"to_index":2078,"sum":204585,"residue":865},{"from_index":2078,"to_index":2542,"sum":204244,"residue":524},{"from_index":2542,"to_index":222,"sum":207363,"residue":865}],"minimal_cycle":[61,402,61,865,524,865],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":61,"start_interval_clock_positions":[222,686],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-223","shape":"Hexagon","alpha_indices":[223,687,1151,1615,2079,2543],"clock_positions":[223,687,1151,1615,2079,2543],"native_values":[367,96,367,559,830,559],"rotation_degrees":28.836206896551722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[367,96,367,559,830,559],"beta":{"interval_sums":[224581,224529,220414,204157,204209,207398],"interval_residues":[489,437,26,437,489,900],"display_cycle":[489,437,26,437,489,900],"intervals":[{"from_index":223,"to_index":687,"sum":224581,"residue":489},{"from_index":687,"to_index":1151,"sum":224529,"residue":437},{"from_index":1151,"to_index":1615,"sum":220414,"residue":26},{"from_index":1615,"to_index":2079,"sum":204157,"residue":437},{"from_index":2079,"to_index":2543,"sum":204209,"residue":489},{"from_index":2543,"to_index":223,"sum":207398,"residue":900}],"minimal_cycle":[489,437,26,437,489,900],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":489,"start_interval_clock_positions":[223,687],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-224","shape":"Hexagon","alpha_indices":[224,688,1152,1616,2080,2544],"clock_positions":[224,688,1152,1616,2080,2544],"native_values":[35,891,498,891,35,428],"rotation_degrees":28.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[35,891,498,891,35,428],"beta":{"interval_sums":[224642,224005,220475,204096,204733,207337],"interval_residues":[550,839,87,376,87,839],"display_cycle":[550,839,87,376,87,839],"intervals":[{"from_index":224,"to_index":688,"sum":224642,"residue":550},{"from_index":688,"to_index":1152,"sum":224005,"residue":839},{"from_index":1152,"to_index":1616,"sum":220475,"residue":87},{"from_index":1616,"to_index":2080,"sum":204096,"residue":376},{"from_index":2080,"to_index":2544,"sum":204733,"residue":87},{"from_index":2544,"to_index":224,"sum":207337,"residue":839}],"minimal_cycle":[550,839,87,376,87,839],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":550,"start_interval_clock_positions":[224,688],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-225","shape":"Hexagon","alpha_indices":[225,689,1153,1617,2081,2545],"clock_positions":[225,689,1153,1617,2081,2545],"native_values":[402,61,865,524,865,61],"rotation_degrees":29.094827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[402,61,865,524,865,61],"beta":{"interval_sums":[225131,224442,220501,203607,204296,207311],"interval_residues":[113,350,113,813,576,813],"display_cycle":[113,350,113,813,576,813],"intervals":[{"from_index":225,"to_index":689,"sum":225131,"residue":113},{"from_index":689,"to_index":1153,"sum":224442,"residue":350},{"from_index":1153,"to_index":1617,"sum":220501,"residue":113},{"from_index":1617,"to_index":2081,"sum":203607,"residue":813},{"from_index":2081,"to_index":2545,"sum":204296,"residue":576},{"from_index":2545,"to_index":225,"sum":207311,"residue":813}],"minimal_cycle":[113,350,113,813,576,813],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":113,"start_interval_clock_positions":[225,689],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-226","shape":"Hexagon","alpha_indices":[226,690,1154,1618,2082,2546],"clock_positions":[226,690,1154,1618,2082,2546],"native_values":[437,26,437,489,900,489],"rotation_degrees":29.224137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[437,26,437,489,900,489],"beta":{"interval_sums":[224755,225281,220588,203983,203457,207224],"interval_residues":[663,263,200,263,663,726],"display_cycle":[663,263,200,263,663,726],"intervals":[{"from_index":226,"to_index":690,"sum":224755,"residue":663},{"from_index":690,"to_index":1154,"sum":225281,"residue":263},{"from_index":1154,"to_index":1618,"sum":220588,"residue":200},{"from_index":1618,"to_index":2082,"sum":203983,"residue":263},{"from_index":2082,"to_index":2546,"sum":203457,"residue":663},{"from_index":2546,"to_index":226,"sum":207224,"residue":726}],"minimal_cycle":[663,263,200,263,663,726],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":663,"start_interval_clock_positions":[226,690],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-227","shape":"Hexagon","alpha_indices":[227,691,1155,1619,2083,2547],"clock_positions":[227,691,1155,1619,2083,2547],"native_values":[839,87,376,87,839,550],"rotation_degrees":29.353448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[839,87,376,87,839,550],"beta":{"interval_sums":[223942,225631,220701,204796,203107,207111],"interval_residues":[776,613,313,150,313,613],"display_cycle":[776,613,313,150,313,613],"intervals":[{"from_index":227,"to_index":691,"sum":223942,"residue":776},{"from_index":691,"to_index":1155,"sum":225631,"residue":613},{"from_index":1155,"to_index":1619,"sum":220701,"residue":313},{"from_index":1619,"to_index":2083,"sum":204796,"residue":150},{"from_index":2083,"to_index":2547,"sum":203107,"residue":313},{"from_index":2547,"to_index":227,"sum":207111,"residue":613}],"minimal_cycle":[776,613,313,150,313,613],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":776,"start_interval_clock_positions":[227,691],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-228","shape":"Hexagon","alpha_indices":[228,692,1156,1620,2084,2548],"clock_positions":[228,692,1156,1620,2084,2548],"native_values":[350,113,813,576,813,113],"rotation_degrees":29.482758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[350,113,813,576,813,113],"beta":{"interval_sums":[223679,225894,219975,205059,202844,207837],"interval_residues":[513,876,513,413,50,413],"display_cycle":[513,876,513,413,50,413],"intervals":[{"from_index":228,"to_index":692,"sum":223679,"residue":513},{"from_index":692,"to_index":1156,"sum":225894,"residue":876},{"from_index":1156,"to_index":1620,"sum":219975,"residue":513},{"from_index":1620,"to_index":2084,"sum":205059,"residue":413},{"from_index":2084,"to_index":2548,"sum":202844,"residue":50},{"from_index":2548,"to_index":228,"sum":207837,"residue":413}],"minimal_cycle":[513,876,513,413,50,413],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":513,"start_interval_clock_positions":[228,692],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-229","shape":"Hexagon","alpha_indices":[229,693,1157,1621,2085,2549],"clock_positions":[229,693,1157,1621,2085,2549],"native_values":[263,200,263,663,726,663],"rotation_degrees":29.612068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[263,200,263,663,726,663],"beta":{"interval_sums":[223529,226507,220288,205209,202231,207524],"interval_residues":[363,563,826,563,363,100],"display_cycle":[363,563,826,563,363,100],"intervals":[{"from_index":229,"to_index":693,"sum":223529,"residue":363},{"from_index":693,"to_index":1157,"sum":226507,"residue":563},{"from_index":1157,"to_index":1621,"sum":220288,"residue":826},{"from_index":1621,"to_index":2085,"sum":205209,"residue":563},{"from_index":2085,"to_index":2549,"sum":202231,"residue":363},{"from_index":2549,"to_index":229,"sum":207524,"residue":100}],"minimal_cycle":[363,563,826,563,363,100],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":363,"start_interval_clock_positions":[229,693],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-230","shape":"Hexagon","alpha_indices":[230,694,1158,1622,2086,2550],"clock_positions":[230,694,1158,1622,2086,2550],"native_values":[613,313,150,313,613,776],"rotation_degrees":29.74137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[613,313,150,313,613,776],"beta":{"interval_sums":[223116,226457,220801,205622,202281,207011],"interval_residues":[876,513,413,50,413,513],"display_cycle":[876,513,413,50,413,513],"intervals":[{"from_index":230,"to_index":694,"sum":223116,"residue":876},{"from_index":694,"to_index":1158,"sum":226457,"residue":513},{"from_index":1158,"to_index":1622,"sum":220801,"residue":413},{"from_index":1622,"to_index":2086,"sum":205622,"residue":50},{"from_index":2086,"to_index":2550,"sum":202281,"residue":413},{"from_index":2550,"to_index":230,"sum":207011,"residue":513}],"minimal_cycle":[876,513,413,50,413,513],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":876,"start_interval_clock_positions":[230,694],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-231","shape":"Hexagon","alpha_indices":[231,695,1159,1623,2087,2551],"clock_positions":[231,695,1159,1623,2087,2551],"native_values":[876,513,413,50,413,513],"rotation_degrees":29.870689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[876,513,413,50,413,513],"beta":{"interval_sums":[222553,226094,220701,206185,202644,207111],"interval_residues":[313,150,313,613,776,613],"display_cycle":[313,150,313,613,776,613],"intervals":[{"from_index":231,"to_index":695,"sum":222553,"residue":313},{"from_index":695,"to_index":1159,"sum":226094,"residue":150},{"from_index":1159,"to_index":1623,"sum":220701,"residue":313},{"from_index":1623,"to_index":2087,"sum":206185,"residue":613},{"from_index":2087,"to_index":2551,"sum":202644,"residue":776},{"from_index":2551,"to_index":231,"sum":207111,"residue":613}],"minimal_cycle":[313,150,313,613,776,613],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":313,"start_interval_clock_positions":[231,695],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-232","shape":"Hexagon","alpha_indices":[232,696,1160,1624,2088,2552],"clock_positions":[232,696,1160,1624,2088,2552],"native_values":[563,826,563,363,100,363],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[563,826,563,363,100,363],"beta":{"interval_sums":[222503,225681,220188,206235,203057,207624],"interval_residues":[263,663,726,663,263,200],"display_cycle":[263,663,726,663,263,200],"intervals":[{"from_index":232,"to_index":696,"sum":222503,"residue":263},{"from_index":696,"to_index":1160,"sum":225681,"residue":663},{"from_index":1160,"to_index":1624,"sum":220188,"residue":726},{"from_index":1624,"to_index":2088,"sum":206235,"residue":663},{"from_index":2088,"to_index":2552,"sum":203057,"residue":263},{"from_index":2552,"to_index":232,"sum":207624,"residue":200}],"minimal_cycle":[263,663,726,663,263,200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":263,"start_interval_clock_positions":[232,696],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-233","shape":"Hexagon","alpha_indices":[233,697,1161,1625,2089,2553],"clock_positions":[233,697,1161,1625,2089,2553],"native_values":[513,413,50,413,513,876],"rotation_degrees":30.129310344827587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,413,50,413,513,876],"beta":{"interval_sums":[222816,225831,220501,205922,202907,207311],"interval_residues":[576,813,113,350,113,813],"display_cycle":[576,813,113,350,113,813],"intervals":[{"from_index":233,"to_index":697,"sum":222816,"residue":576},{"from_index":697,"to_index":1161,"sum":225831,"residue":813},{"from_index":1161,"to_index":1625,"sum":220501,"residue":113},{"from_index":1625,"to_index":2089,"sum":205922,"residue":350},{"from_index":2089,"to_index":2553,"sum":202907,"residue":113},{"from_index":2553,"to_index":233,"sum":207311,"residue":813}],"minimal_cycle":[576,813,113,350,113,813],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":576,"start_interval_clock_positions":[233,697],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-234","shape":"Hexagon","alpha_indices":[234,698,1162,1626,2090,2554],"clock_positions":[234,698,1162,1626,2090,2554],"native_values":[150,313,613,776,613,313],"rotation_degrees":30.25862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[150,313,613,776,613,313],"beta":{"interval_sums":[223079,225568,220301,205659,203170,207511],"interval_residues":[839,550,839,87,376,87],"display_cycle":[839,550,839,87,376,87],"intervals":[{"from_index":234,"to_index":698,"sum":223079,"residue":839},{"from_index":698,"to_index":1162,"sum":225568,"residue":550},{"from_index":1162,"to_index":1626,"sum":220301,"residue":839},{"from_index":1626,"to_index":2090,"sum":205659,"residue":87},{"from_index":2090,"to_index":2554,"sum":203170,"residue":376},{"from_index":2554,"to_index":234,"sum":207511,"residue":87}],"minimal_cycle":[839,550,839,87,376,87],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":839,"start_interval_clock_positions":[234,698],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-235","shape":"Hexagon","alpha_indices":[235,699,1163,1627,2091,2555],"clock_positions":[235,699,1163,1627,2091,2555],"native_values":[663,726,663,263,200,263],"rotation_degrees":30.387931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[663,726,663,263,200,263],"beta":{"interval_sums":[222729,225455,220414,206009,203283,207398],"interval_residues":[489,437,26,437,489,900],"display_cycle":[489,437,26,437,489,900],"intervals":[{"from_index":235,"to_index":699,"sum":222729,"residue":489},{"from_index":699,"to_index":1163,"sum":225455,"residue":437},{"from_index":1163,"to_index":1627,"sum":220414,"residue":26},{"from_index":1627,"to_index":2091,"sum":206009,"residue":437},{"from_index":2091,"to_index":2555,"sum":203283,"residue":489},{"from_index":2555,"to_index":235,"sum":207398,"residue":900}],"minimal_cycle":[489,437,26,437,489,900],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":489,"start_interval_clock_positions":[235,699],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-236","shape":"Hexagon","alpha_indices":[236,700,1164,1628,2092,2556],"clock_positions":[236,700,1164,1628,2092,2556],"native_values":[813,113,350,113,813,576],"rotation_degrees":30.517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[813,113,350,113,813,576],"beta":{"interval_sums":[222642,226005,220327,206096,202733,207485],"interval_residues":[402,61,865,524,865,61],"display_cycle":[402,61,865,524,865,61],"intervals":[{"from_index":236,"to_index":700,"sum":222642,"residue":402},{"from_index":700,"to_index":1164,"sum":226005,"residue":61},{"from_index":1164,"to_index":1628,"sum":220327,"residue":865},{"from_index":1628,"to_index":2092,"sum":206096,"residue":524},{"from_index":2092,"to_index":2556,"sum":202733,"residue":865},{"from_index":2556,"to_index":236,"sum":207485,"residue":61}],"minimal_cycle":[402,61,865,524,865,61],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[236,700],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-237","shape":"Hexagon","alpha_indices":[237,701,1165,1629,2093,2557],"clock_positions":[237,701,1165,1629,2093,2557],"native_values":[550,839,87,376,87,839],"rotation_degrees":30.646551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[550,839,87,376,87,839],"beta":{"interval_sums":[222205,225516,220353,206533,203222,207459],"interval_residues":[891,498,891,35,428,35],"display_cycle":[891,498,891,35,428,35],"intervals":[{"from_index":237,"to_index":701,"sum":222205,"residue":891},{"from_index":701,"to_index":1165,"sum":225516,"residue":498},{"from_index":1165,"to_index":1629,"sum":220353,"residue":891},{"from_index":1629,"to_index":2093,"sum":206533,"residue":35},{"from_index":2093,"to_index":2557,"sum":203222,"residue":428},{"from_index":2557,"to_index":237,"sum":207459,"residue":35}],"minimal_cycle":[891,498,891,35,428,35],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":891,"start_interval_clock_positions":[237,701],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-238","shape":"Hexagon","alpha_indices":[238,702,1166,1630,2094,2558],"clock_positions":[238,702,1166,1630,2094,2558],"native_values":[437,26,437,489,900,489],"rotation_degrees":30.775862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[437,26,437,489,900,489],"beta":{"interval_sums":[222607,225577,220292,206131,203161,207520],"interval_residues":[367,559,830,559,367,96],"display_cycle":[367,559,830,559,367,96],"intervals":[{"from_index":238,"to_index":702,"sum":222607,"residue":367},{"from_index":702,"to_index":1166,"sum":225577,"residue":559},{"from_index":1166,"to_index":1630,"sum":220292,"residue":830},{"from_index":1630,"to_index":2094,"sum":206131,"residue":559},{"from_index":2094,"to_index":2558,"sum":203161,"residue":367},{"from_index":2558,"to_index":238,"sum":207520,"residue":96}],"minimal_cycle":[367,559,830,559,367,96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":367,"start_interval_clock_positions":[238,702],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-239","shape":"Hexagon","alpha_indices":[239,703,1167,1631,2095,2559],"clock_positions":[239,703,1167,1631,2095,2559],"native_values":[61,865,524,865,61,402],"rotation_degrees":30.905172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,865,524,865,61,402],"beta":{"interval_sums":[222572,225149,220257,206166,203589,207555],"interval_residues":[332,131,795,594,795,131],"display_cycle":[332,131,795,594,795,131],"intervals":[{"from_index":239,"to_index":703,"sum":222572,"residue":332},{"from_index":703,"to_index":1167,"sum":225149,"residue":131},{"from_index":1167,"to_index":1631,"sum":220257,"residue":795},{"from_index":1631,"to_index":2095,"sum":206166,"residue":594},{"from_index":2095,"to_index":2559,"sum":203589,"residue":795},{"from_index":2559,"to_index":239,"sum":207555,"residue":131}],"minimal_cycle":[332,131,795,594,795,131],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[239,703],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-240","shape":"Hexagon","alpha_indices":[240,704,1168,1632,2096,2560],"clock_positions":[240,704,1168,1632,2096,2560],"native_values":[498,891,35,428,35,891],"rotation_degrees":31.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[498,891,35,428,35,891],"beta":{"interval_sums":[222939,224782,221087,205799,203956,206725],"interval_residues":[699,690,699,227,236,227],"display_cycle":[699,690,699,227,236,227],"intervals":[{"from_index":240,"to_index":704,"sum":222939,"residue":699},{"from_index":704,"to_index":1168,"sum":224782,"residue":690},{"from_index":1168,"to_index":1632,"sum":221087,"residue":699},{"from_index":1632,"to_index":2096,"sum":205799,"residue":227},{"from_index":2096,"to_index":2560,"sum":203956,"residue":236},{"from_index":2560,"to_index":240,"sum":206725,"residue":227}],"minimal_cycle":[699,690,699,227,236,227],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":699,"start_interval_clock_positions":[240,704],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-241","shape":"Hexagon","alpha_indices":[241,705,1169,1633,2097,2561],"clock_positions":[241,705,1169,1633,2097,2561],"native_values":[559,830,559,367,96,367],"rotation_degrees":31.163793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[559,830,559,367,96,367],"beta":{"interval_sums":[223271,223987,220956,205467,204751,206856],"interval_residues":[105,821,568,821,105,358],"display_cycle":[105,821,568,821,105,358],"intervals":[{"from_index":241,"to_index":705,"sum":223271,"residue":105},{"from_index":705,"to_index":1169,"sum":223987,"residue":821},{"from_index":1169,"to_index":1633,"sum":220956,"residue":568},{"from_index":1633,"to_index":2097,"sum":205467,"residue":821},{"from_index":2097,"to_index":2561,"sum":204751,"residue":105},{"from_index":2561,"to_index":241,"sum":206856,"residue":358}],"minimal_cycle":[105,821,568,821,105,358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":105,"start_interval_clock_positions":[241,705],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-242","shape":"Hexagon","alpha_indices":[242,706,1170,1634,2098,2562],"clock_positions":[242,706,1170,1634,2098,2562],"native_values":[131,795,594,795,131,332],"rotation_degrees":31.29310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,795,594,795,131,332],"beta":{"interval_sums":[223970,223751,220729,204768,204987,207083],"interval_residues":[804,585,341,122,341,585],"display_cycle":[804,585,341,122,341,585],"intervals":[{"from_index":242,"to_index":706,"sum":223970,"residue":804},{"from_index":706,"to_index":1170,"sum":223751,"residue":585},{"from_index":1170,"to_index":1634,"sum":220729,"residue":341},{"from_index":1634,"to_index":2098,"sum":204768,"residue":122},{"from_index":2098,"to_index":2562,"sum":204987,"residue":341},{"from_index":2562,"to_index":242,"sum":207083,"residue":585}],"minimal_cycle":[804,585,341,122,341,585],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":804,"start_interval_clock_positions":[242,706],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-243","shape":"Hexagon","alpha_indices":[243,707,1171,1635,2099,2563],"clock_positions":[243,707,1171,1635,2099,2563],"native_values":[690,699,227,236,227,699],"rotation_degrees":31.42241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[690,699,227,236,227,699],"beta":{"interval_sums":[224075,223646,221297,204663,205092,206515],"interval_residues":[909,480,909,17,446,17],"display_cycle":[909,480,909,17,446,17],"intervals":[{"from_index":243,"to_index":707,"sum":224075,"residue":909},{"from_index":707,"to_index":1171,"sum":223646,"residue":480},{"from_index":1171,"to_index":1635,"sum":221297,"residue":909},{"from_index":1635,"to_index":2099,"sum":204663,"residue":17},{"from_index":2099,"to_index":2563,"sum":205092,"residue":446},{"from_index":2563,"to_index":243,"sum":206515,"residue":17}],"minimal_cycle":[909,480,909,17,446,17],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":909,"start_interval_clock_positions":[243,707],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-244","shape":"Hexagon","alpha_indices":[244,708,1172,1636,2100,2564],"clock_positions":[244,708,1172,1636,2100,2564],"native_values":[821,568,821,105,358,105],"rotation_degrees":31.551724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[821,568,821,105,358,105],"beta":{"interval_sums":[223953,223305,220712,204785,205433,207100],"interval_residues":[787,139,324,139,787,602],"display_cycle":[787,139,324,139,787,602],"intervals":[{"from_index":244,"to_index":708,"sum":223953,"residue":787},{"from_index":708,"to_index":1172,"sum":223305,"residue":139},{"from_index":1172,"to_index":1636,"sum":220712,"residue":324},{"from_index":1636,"to_index":2100,"sum":204785,"residue":139},{"from_index":2100,"to_index":2564,"sum":205433,"residue":787},{"from_index":2564,"to_index":244,"sum":207100,"residue":602}],"minimal_cycle":[787,139,324,139,787,602],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":787,"start_interval_clock_positions":[244,708],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-245","shape":"Hexagon","alpha_indices":[245,709,1173,1637,2101,2565],"clock_positions":[245,709,1173,1637,2101,2565],"native_values":[585,341,122,341,585,804],"rotation_degrees":31.68103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[585,341,122,341,585,804],"beta":{"interval_sums":[223936,223785,220695,204802,204953,207117],"interval_residues":[770,619,307,156,307,619],"display_cycle":[770,619,307,156,307,619],"intervals":[{"from_index":245,"to_index":709,"sum":223936,"residue":770},{"from_index":709,"to_index":1173,"sum":223785,"residue":619},{"from_index":1173,"to_index":1637,"sum":220695,"residue":307},{"from_index":1637,"to_index":2101,"sum":204802,"residue":156},{"from_index":2101,"to_index":2565,"sum":204953,"residue":307},{"from_index":2565,"to_index":245,"sum":207117,"residue":619}],"minimal_cycle":[770,619,307,156,307,619],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":770,"start_interval_clock_positions":[245,709],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-246","shape":"Hexagon","alpha_indices":[246,710,1174,1638,2102,2566],"clock_positions":[246,710,1174,1638,2102,2566],"native_values":[480,909,17,446,17,909],"rotation_degrees":31.810344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[480,909,17,446,17,909],"beta":{"interval_sums":[223797,222998,221019,204941,205740,206793],"interval_residues":[631,758,631,295,168,295],"display_cycle":[631,758,631,295,168,295],"intervals":[{"from_index":246,"to_index":710,"sum":223797,"residue":631},{"from_index":710,"to_index":1174,"sum":222998,"residue":758},{"from_index":1174,"to_index":1638,"sum":221019,"residue":631},{"from_index":1638,"to_index":2102,"sum":204941,"residue":295},{"from_index":2102,"to_index":2566,"sum":205740,"residue":168},{"from_index":2566,"to_index":246,"sum":206793,"residue":295}],"minimal_cycle":[631,758,631,295,168,295],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":631,"start_interval_clock_positions":[246,710],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-247","shape":"Hexagon","alpha_indices":[247,711,1175,1639,2103,2567],"clock_positions":[247,711,1175,1639,2103,2567],"native_values":[139,324,139,787,602,787],"rotation_degrees":31.939655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[139,324,139,787,602,787],"beta":{"interval_sums":[224567,222691,221326,204171,206047,206486],"interval_residues":[475,451,12,451,475,914],"display_cycle":[475,451,12,451,475,914],"intervals":[{"from_index":247,"to_index":711,"sum":224567,"residue":475},{"from_index":711,"to_index":1175,"sum":222691,"residue":451},{"from_index":1175,"to_index":1639,"sum":221326,"residue":12},{"from_index":1639,"to_index":2103,"sum":204171,"residue":451},{"from_index":2103,"to_index":2567,"sum":206047,"residue":475},{"from_index":2567,"to_index":247,"sum":206486,"residue":914}],"minimal_cycle":[475,451,12,451,475,914],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":475,"start_interval_clock_positions":[247,711],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-248","shape":"Hexagon","alpha_indices":[248,712,1176,1640,2104,2568],"clock_positions":[248,712,1176,1640,2104,2568],"native_values":[619,307,156,307,619,770],"rotation_degrees":32.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[619,307,156,307,619,770],"beta":{"interval_sums":[224272,222523,221957,204466,206215,205855],"interval_residues":[180,283,643,746,643,283],"display_cycle":[180,283,643,746,643,283],"intervals":[{"from_index":248,"to_index":712,"sum":224272,"residue":180},{"from_index":712,"to_index":1176,"sum":222523,"residue":283},{"from_index":1176,"to_index":1640,"sum":221957,"residue":643},{"from_index":1640,"to_index":2104,"sum":204466,"residue":746},{"from_index":2104,"to_index":2568,"sum":206215,"residue":643},{"from_index":2568,"to_index":248,"sum":205855,"residue":283}],"minimal_cycle":[180,283,643,746,643,283],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[248,712],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-249","shape":"Hexagon","alpha_indices":[249,713,1177,1641,2105,2569],"clock_positions":[249,713,1177,1641,2105,2569],"native_values":[758,631,295,168,295,631],"rotation_degrees":32.19827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[758,631,295,168,295,631],"beta":{"interval_sums":[223821,222048,221969,204917,206690,205843],"interval_residues":[655,734,655,271,192,271],"display_cycle":[655,734,655,271,192,271],"intervals":[{"from_index":249,"to_index":713,"sum":223821,"residue":655},{"from_index":713,"to_index":1177,"sum":222048,"residue":734},{"from_index":1177,"to_index":1641,"sum":221969,"residue":655},{"from_index":1641,"to_index":2105,"sum":204917,"residue":271},{"from_index":2105,"to_index":2569,"sum":206690,"residue":192},{"from_index":2569,"to_index":249,"sum":205843,"residue":271}],"minimal_cycle":[655,734,655,271,192,271],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":655,"start_interval_clock_positions":[249,713],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-250","shape":"Hexagon","alpha_indices":[250,714,1178,1642,2106,2570],"clock_positions":[250,714,1178,1642,2106,2570],"native_values":[451,12,451,475,914,475],"rotation_degrees":32.327586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,12,451,475,914,475],"beta":{"interval_sums":[224001,222331,221686,204737,206407,206126],"interval_residues":[835,91,372,91,835,554],"display_cycle":[835,91,372,91,835,554],"intervals":[{"from_index":250,"to_index":714,"sum":224001,"residue":835},{"from_index":714,"to_index":1178,"sum":222331,"residue":91},{"from_index":1178,"to_index":1642,"sum":221686,"residue":372},{"from_index":1642,"to_index":2106,"sum":204737,"residue":91},{"from_index":2106,"to_index":2570,"sum":206407,"residue":835},{"from_index":2570,"to_index":250,"sum":206126,"residue":554}],"minimal_cycle":[835,91,372,91,835,554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":835,"start_interval_clock_positions":[250,714],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-251","shape":"Hexagon","alpha_indices":[251,715,1179,1643,2107,2571],"clock_positions":[251,715,1179,1643,2107,2571],"native_values":[283,643,746,643,283,180],"rotation_degrees":32.456896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,643,746,643,283,180],"beta":{"interval_sums":[223730,222139,221415,205008,206599,206397],"interval_residues":[564,825,101,362,101,825],"display_cycle":[564,825,101,362,101,825],"intervals":[{"from_index":251,"to_index":715,"sum":223730,"residue":564},{"from_index":715,"to_index":1179,"sum":222139,"residue":825},{"from_index":1179,"to_index":1643,"sum":221415,"residue":101},{"from_index":1643,"to_index":2107,"sum":205008,"residue":362},{"from_index":2107,"to_index":2571,"sum":206599,"residue":101},{"from_index":2571,"to_index":251,"sum":206397,"residue":825}],"minimal_cycle":[564,825,101,362,101,825],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":564,"start_interval_clock_positions":[251,715],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-252","shape":"Hexagon","alpha_indices":[252,716,1180,1644,2108,2572],"clock_positions":[252,716,1180,1644,2108,2572],"native_values":[734,655,271,192,271,655],"rotation_degrees":32.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[734,655,271,192,271,655],"beta":{"interval_sums":[223639,222230,221787,205099,206508,206025],"interval_residues":[473,916,473,453,10,453],"display_cycle":[473,916,473,453,10,453],"intervals":[{"from_index":252,"to_index":716,"sum":223639,"residue":473},{"from_index":716,"to_index":1180,"sum":222230,"residue":916},{"from_index":1180,"to_index":1644,"sum":221787,"residue":473},{"from_index":1644,"to_index":2108,"sum":205099,"residue":453},{"from_index":2108,"to_index":2572,"sum":206508,"residue":10},{"from_index":2572,"to_index":252,"sum":206025,"residue":453}],"minimal_cycle":[473,916,473,453,10,453],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":473,"start_interval_clock_positions":[252,716],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-253","shape":"Hexagon","alpha_indices":[253,717,1181,1645,2109,2573],"clock_positions":[253,717,1181,1645,2109,2573],"native_values":[91,372,91,835,554,835],"rotation_degrees":32.71551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[91,372,91,835,554,835],"beta":{"interval_sums":[224203,222129,221888,204535,206609,205924],"interval_residues":[111,815,574,815,111,352],"display_cycle":[111,815,574,815,111,352],"intervals":[{"from_index":253,"to_index":717,"sum":224203,"residue":111},{"from_index":717,"to_index":1181,"sum":222129,"residue":815},{"from_index":1181,"to_index":1645,"sum":221888,"residue":574},{"from_index":1645,"to_index":2109,"sum":204535,"residue":815},{"from_index":2109,"to_index":2573,"sum":206609,"residue":111},{"from_index":2573,"to_index":253,"sum":205924,"residue":352}],"minimal_cycle":[111,815,574,815,111,352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":111,"start_interval_clock_positions":[253,717],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-254","shape":"Hexagon","alpha_indices":[254,718,1182,1646,2110,2574],"clock_positions":[254,718,1182,1646,2110,2574],"native_values":[825,101,362,101,825,564],"rotation_degrees":32.8448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[825,101,362,101,825,564],"beta":{"interval_sums":[223750,222119,222361,204988,206619,205451],"interval_residues":[584,805,121,342,121,805],"display_cycle":[584,805,121,342,121,805],"intervals":[{"from_index":254,"to_index":718,"sum":223750,"residue":584},{"from_index":718,"to_index":1182,"sum":222119,"residue":805},{"from_index":1182,"to_index":1646,"sum":222361,"residue":121},{"from_index":1646,"to_index":2110,"sum":204988,"residue":342},{"from_index":2110,"to_index":2574,"sum":206619,"residue":121},{"from_index":2574,"to_index":254,"sum":205451,"residue":805}],"minimal_cycle":[584,805,121,342,121,805],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[254,718],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-255","shape":"Hexagon","alpha_indices":[255,719,1183,1647,2111,2575],"clock_positions":[255,719,1183,1647,2111,2575],"native_values":[916,473,453,10,453,473],"rotation_degrees":32.974137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[916,473,453,10,453,473],"beta":{"interval_sums":[222935,222008,222009,205803,206730,205803],"interval_residues":[695,694,695,231,232,231],"display_cycle":[695,694,695,231,232,231],"intervals":[{"from_index":255,"to_index":719,"sum":222935,"residue":695},{"from_index":719,"to_index":1183,"sum":222008,"residue":694},{"from_index":1183,"to_index":1647,"sum":222009,"residue":695},{"from_index":1647,"to_index":2111,"sum":205803,"residue":231},{"from_index":2111,"to_index":2575,"sum":206730,"residue":232},{"from_index":2575,"to_index":255,"sum":205803,"residue":231}],"minimal_cycle":[695,694,695,231,232,231],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":695,"start_interval_clock_positions":[255,719],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-256","shape":"Hexagon","alpha_indices":[256,720,1184,1648,2112,2576],"clock_positions":[256,720,1184,1648,2112,2576],"native_values":[815,574,815,111,352,111],"rotation_degrees":33.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[815,574,815,111,352,111],"beta":{"interval_sums":[222593,221887,221204,206145,206851,206608],"interval_residues":[353,573,816,573,353,110],"display_cycle":[353,573,816,573,353,110],"intervals":[{"from_index":256,"to_index":720,"sum":222593,"residue":353},{"from_index":720,"to_index":1184,"sum":221887,"residue":573},{"from_index":1184,"to_index":1648,"sum":221204,"residue":816},{"from_index":1648,"to_index":2112,"sum":206145,"residue":573},{"from_index":2112,"to_index":2576,"sum":206851,"residue":353},{"from_index":2576,"to_index":256,"sum":206608,"residue":110}],"minimal_cycle":[353,573,816,573,353,110],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":353,"start_interval_clock_positions":[256,720],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-257","shape":"Hexagon","alpha_indices":[257,721,1185,1649,2113,2577],"clock_positions":[257,721,1185,1649,2113,2577],"native_values":[805,121,342,121,805,584],"rotation_degrees":33.23275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[805,121,342,121,805,584],"beta":{"interval_sums":[222362,222581,220973,206376,206157,206839],"interval_residues":[122,341,585,804,585,341],"display_cycle":[122,341,585,804,585,341],"intervals":[{"from_index":257,"to_index":721,"sum":222362,"residue":122},{"from_index":721,"to_index":1185,"sum":222581,"residue":341},{"from_index":1185,"to_index":1649,"sum":220973,"residue":585},{"from_index":1649,"to_index":2113,"sum":206376,"residue":804},{"from_index":2113,"to_index":2577,"sum":206157,"residue":585},{"from_index":2577,"to_index":257,"sum":206839,"residue":341}],"minimal_cycle":[122,341,585,804,585,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[257,721],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-258","shape":"Hexagon","alpha_indices":[258,722,1186,1650,2114,2578],"clock_positions":[258,722,1186,1650,2114,2578],"native_values":[694,695,231,232,231,695],"rotation_degrees":33.36206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[694,695,231,232,231,695],"beta":{"interval_sums":[221789,222228,220863,206949,206510,206949],"interval_residues":[475,914,475,451,12,451],"display_cycle":[475,914,475,451,12,451],"intervals":[{"from_index":258,"to_index":722,"sum":221789,"residue":475},{"from_index":722,"to_index":1186,"sum":222228,"residue":914},{"from_index":1186,"to_index":1650,"sum":220863,"residue":475},{"from_index":1650,"to_index":2114,"sum":206949,"residue":451},{"from_index":2114,"to_index":2578,"sum":206510,"residue":12},{"from_index":2578,"to_index":258,"sum":206949,"residue":451}],"minimal_cycle":[475,914,475,451,12,451],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":475,"start_interval_clock_positions":[258,722],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-259","shape":"Hexagon","alpha_indices":[259,723,1187,1651,2115,2579],"clock_positions":[259,723,1187,1651,2115,2579],"native_values":[573,816,573,353,110,353],"rotation_degrees":33.491379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,816,573,353,110,353],"beta":{"interval_sums":[221911,221643,220522,206827,207095,207290],"interval_residues":[597,329,134,329,597,792],"display_cycle":[597,329,134,329,597,792],"intervals":[{"from_index":259,"to_index":723,"sum":221911,"residue":597},{"from_index":723,"to_index":1187,"sum":221643,"residue":329},{"from_index":1187,"to_index":1651,"sum":220522,"residue":134},{"from_index":1651,"to_index":2115,"sum":206827,"residue":329},{"from_index":2115,"to_index":2579,"sum":207095,"residue":597},{"from_index":2579,"to_index":259,"sum":207290,"residue":792}],"minimal_cycle":[597,329,134,329,597,792],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":597,"start_interval_clock_positions":[259,723],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-260","shape":"Hexagon","alpha_indices":[260,724,1188,1652,2116,2580],"clock_positions":[260,724,1188,1652,2116,2580],"native_values":[341,585,804,585,341,122],"rotation_degrees":33.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,585,804,585,341,122],"beta":{"interval_sums":[222386,221631,220071,206352,207107,207741],"interval_residues":[146,317,609,780,609,317],"display_cycle":[146,317,609,780,609,317],"intervals":[{"from_index":260,"to_index":724,"sum":222386,"residue":146},{"from_index":724,"to_index":1188,"sum":221631,"residue":317},{"from_index":1188,"to_index":1652,"sum":220071,"residue":609},{"from_index":1652,"to_index":2116,"sum":206352,"residue":780},{"from_index":2116,"to_index":2580,"sum":207107,"residue":609},{"from_index":2580,"to_index":260,"sum":207741,"residue":317}],"minimal_cycle":[146,317,609,780,609,317],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[260,724],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-261","shape":"Hexagon","alpha_indices":[261,725,1189,1653,2117,2581],"clock_positions":[261,725,1189,1653,2117,2581],"native_values":[914,475,451,12,451,475],"rotation_degrees":33.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[914,475,451,12,451,475],"beta":{"interval_sums":[222057,221960,220205,206681,206778,207607],"interval_residues":[743,646,743,183,280,183],"display_cycle":[743,646,743,183,280,183],"intervals":[{"from_index":261,"to_index":725,"sum":222057,"residue":743},{"from_index":725,"to_index":1189,"sum":221960,"residue":646},{"from_index":1189,"to_index":1653,"sum":220205,"residue":743},{"from_index":1653,"to_index":2117,"sum":206681,"residue":183},{"from_index":2117,"to_index":2581,"sum":206778,"residue":280},{"from_index":2581,"to_index":261,"sum":207607,"residue":183}],"minimal_cycle":[743,646,743,183,280,183],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":743,"start_interval_clock_positions":[261,725],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-262","shape":"Hexagon","alpha_indices":[262,726,1190,1654,2118,2582],"clock_positions":[262,726,1190,1654,2118,2582],"native_values":[329,134,329,597,792,597],"rotation_degrees":33.87931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[329,134,329,597,792,597],"beta":{"interval_sums":[222203,222277,219888,206535,206461,207924],"interval_residues":[889,37,426,37,889,500],"display_cycle":[889,37,426,37,889,500],"intervals":[{"from_index":262,"to_index":726,"sum":222203,"residue":889},{"from_index":726,"to_index":1190,"sum":222277,"residue":37},{"from_index":1190,"to_index":1654,"sum":219888,"residue":426},{"from_index":1654,"to_index":2118,"sum":206535,"residue":37},{"from_index":2118,"to_index":2582,"sum":206461,"residue":889},{"from_index":2582,"to_index":262,"sum":207924,"residue":500}],"minimal_cycle":[889,37,426,37,889,500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":889,"start_interval_clock_positions":[262,726],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-263","shape":"Hexagon","alpha_indices":[263,727,1191,1655,2119,2583],"clock_positions":[263,727,1191,1655,2119,2583],"native_values":[317,609,780,609,317,146],"rotation_degrees":34.008620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,609,780,609,317,146],"beta":{"interval_sums":[222020,221997,219705,206718,206741,208107],"interval_residues":[706,683,243,220,243,683],"display_cycle":[706,683,243,220,243,683],"intervals":[{"from_index":263,"to_index":727,"sum":222020,"residue":706},{"from_index":727,"to_index":1191,"sum":221997,"residue":683},{"from_index":1191,"to_index":1655,"sum":219705,"residue":243},{"from_index":1655,"to_index":2119,"sum":206718,"residue":220},{"from_index":2119,"to_index":2583,"sum":206741,"residue":243},{"from_index":2583,"to_index":263,"sum":208107,"residue":683}],"minimal_cycle":[706,683,243,220,243,683],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":706,"start_interval_clock_positions":[263,727],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-264","shape":"Hexagon","alpha_indices":[264,728,1192,1656,2120,2584],"clock_positions":[264,728,1192,1656,2120,2584],"native_values":[646,743,183,280,183,743],"rotation_degrees":34.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[646,743,183,280,183,743],"beta":{"interval_sums":[221983,222034,220131,206755,206704,207681],"interval_residues":[669,720,669,257,206,257],"display_cycle":[669,720,669,257,206,257],"intervals":[{"from_index":264,"to_index":728,"sum":221983,"residue":669},{"from_index":728,"to_index":1192,"sum":222034,"residue":720},{"from_index":1192,"to_index":1656,"sum":220131,"residue":669},{"from_index":1656,"to_index":2120,"sum":206755,"residue":257},{"from_index":2120,"to_index":2584,"sum":206704,"residue":206},{"from_index":2584,"to_index":264,"sum":207681,"residue":257}],"minimal_cycle":[669,720,669,257,206,257],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":669,"start_interval_clock_positions":[264,728],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-265","shape":"Hexagon","alpha_indices":[265,729,1193,1657,2121,2585],"clock_positions":[265,729,1193,1657,2121,2585],"native_values":[37,426,37,889,500,889],"rotation_degrees":34.26724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[37,426,37,889,500,889],"beta":{"interval_sums":[222689,221791,220374,206049,206947,207438],"interval_residues":[449,477,912,477,449,14],"display_cycle":[449,477,912,477,449,14],"intervals":[{"from_index":265,"to_index":729,"sum":222689,"residue":449},{"from_index":729,"to_index":1193,"sum":221791,"residue":477},{"from_index":1193,"to_index":1657,"sum":220374,"residue":912},{"from_index":1657,"to_index":2121,"sum":206049,"residue":477},{"from_index":2121,"to_index":2585,"sum":206947,"residue":449},{"from_index":2585,"to_index":265,"sum":207438,"residue":14}],"minimal_cycle":[449,477,912,477,449,14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":449,"start_interval_clock_positions":[265,729],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-266","shape":"Hexagon","alpha_indices":[266,730,1194,1658,2122,2586],"clock_positions":[266,730,1194,1658,2122,2586],"native_values":[683,243,220,243,683,706],"rotation_degrees":34.39655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[683,243,220,243,683,706],"beta":{"interval_sums":[222432,221585,221043,206306,207153,206769],"interval_residues":[192,271,655,734,655,271],"display_cycle":[192,271,655,734,655,271],"intervals":[{"from_index":266,"to_index":730,"sum":222432,"residue":192},{"from_index":730,"to_index":1194,"sum":221585,"residue":271},{"from_index":1194,"to_index":1658,"sum":221043,"residue":655},{"from_index":1658,"to_index":2122,"sum":206306,"residue":734},{"from_index":2122,"to_index":2586,"sum":207153,"residue":655},{"from_index":2586,"to_index":266,"sum":206769,"residue":271}],"minimal_cycle":[192,271,655,734,655,271],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[266,730],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-267","shape":"Hexagon","alpha_indices":[267,731,1195,1659,2123,2587],"clock_positions":[267,731,1195,1659,2123,2587],"native_values":[720,669,257,206,257,669],"rotation_degrees":34.525862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[720,669,257,206,257,669],"beta":{"interval_sums":[221955,221136,221029,206783,207602,206783],"interval_residues":[641,748,641,285,178,285],"display_cycle":[641,748,641,285,178,285],"intervals":[{"from_index":267,"to_index":731,"sum":221955,"residue":641},{"from_index":731,"to_index":1195,"sum":221136,"residue":748},{"from_index":1195,"to_index":1659,"sum":221029,"residue":641},{"from_index":1659,"to_index":2123,"sum":206783,"residue":285},{"from_index":2123,"to_index":2587,"sum":207602,"residue":178},{"from_index":2587,"to_index":267,"sum":206783,"residue":285}],"minimal_cycle":[641,748,641,285,178,285],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":641,"start_interval_clock_positions":[267,731],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-268","shape":"Hexagon","alpha_indices":[268,732,1196,1660,2124,2588],"clock_positions":[268,732,1196,1660,2124,2588],"native_values":[477,912,477,449,14,449],"rotation_degrees":34.6551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,912,477,449,14,449],"beta":{"interval_sums":[222147,220481,220758,206591,208257,207054],"interval_residues":[833,93,370,93,833,556],"display_cycle":[833,93,370,93,833,556],"intervals":[{"from_index":268,"to_index":732,"sum":222147,"residue":833},{"from_index":732,"to_index":1196,"sum":220481,"residue":93},{"from_index":1196,"to_index":1660,"sum":220758,"residue":370},{"from_index":1660,"to_index":2124,"sum":206591,"residue":93},{"from_index":2124,"to_index":2588,"sum":208257,"residue":833},{"from_index":2588,"to_index":268,"sum":207054,"residue":556}],"minimal_cycle":[833,93,370,93,833,556],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":833,"start_interval_clock_positions":[268,732],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-269","shape":"Hexagon","alpha_indices":[269,733,1197,1661,2125,2589],"clock_positions":[269,733,1197,1661,2125,2589],"native_values":[271,655,734,655,271,192],"rotation_degrees":34.78448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[271,655,734,655,271,192],"beta":{"interval_sums":[222788,220303,220473,205950,208435,207339],"interval_residues":[548,841,85,378,85,841],"display_cycle":[548,841,85,378,85,841],"intervals":[{"from_index":269,"to_index":733,"sum":222788,"residue":548},{"from_index":733,"to_index":1197,"sum":220303,"residue":841},{"from_index":1197,"to_index":1661,"sum":220473,"residue":85},{"from_index":1661,"to_index":2125,"sum":205950,"residue":378},{"from_index":2125,"to_index":2589,"sum":208435,"residue":85},{"from_index":2589,"to_index":269,"sum":207339,"residue":841}],"minimal_cycle":[548,841,85,378,85,841],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":548,"start_interval_clock_positions":[269,733],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-270","shape":"Hexagon","alpha_indices":[270,734,1198,1662,2126,2590],"clock_positions":[270,734,1198,1662,2126,2590],"native_values":[748,641,285,178,285,641],"rotation_degrees":34.91379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[748,641,285,178,285,641],"beta":{"interval_sums":[222695,220396,220843,206043,208342,206969],"interval_residues":[455,8,455,471,918,471],"display_cycle":[455,8,455,471,918,471],"intervals":[{"from_index":270,"to_index":734,"sum":222695,"residue":455},{"from_index":734,"to_index":1198,"sum":220396,"residue":8},{"from_index":1198,"to_index":1662,"sum":220843,"residue":455},{"from_index":1662,"to_index":2126,"sum":206043,"residue":471},{"from_index":2126,"to_index":2590,"sum":208342,"residue":918},{"from_index":2590,"to_index":270,"sum":206969,"residue":471}],"minimal_cycle":[455,8,455,471,918,471],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":455,"start_interval_clock_positions":[270,734],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-271","shape":"Hexagon","alpha_indices":[271,735,1199,1663,2127,2591],"clock_positions":[271,735,1199,1663,2127,2591],"native_values":[93,370,93,833,556,833],"rotation_degrees":35.043103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,370,93,833,556,833],"beta":{"interval_sums":[223243,220311,220928,205495,208427,206884],"interval_residues":[77,849,540,849,77,386],"display_cycle":[77,849,540,849,77,386],"intervals":[{"from_index":271,"to_index":735,"sum":223243,"residue":77},{"from_index":735,"to_index":1199,"sum":220311,"residue":849},{"from_index":1199,"to_index":1663,"sum":220928,"residue":540},{"from_index":1663,"to_index":2127,"sum":205495,"residue":849},{"from_index":2127,"to_index":2591,"sum":208427,"residue":77},{"from_index":2591,"to_index":271,"sum":206884,"residue":386}],"minimal_cycle":[77,849,540,849,77,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":77,"start_interval_clock_positions":[271,735],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-272","shape":"Hexagon","alpha_indices":[272,736,1200,1664,2128,2592],"clock_positions":[272,736,1200,1664,2128,2592],"native_values":[841,85,378,85,841,548],"rotation_degrees":35.172413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[841,85,378,85,841,548],"beta":{"interval_sums":[222772,220319,221383,205966,208419,206429],"interval_residues":[532,857,69,394,69,857],"display_cycle":[532,857,69,394,69,857],"intervals":[{"from_index":272,"to_index":736,"sum":222772,"residue":532},{"from_index":736,"to_index":1200,"sum":220319,"residue":857},{"from_index":1200,"to_index":1664,"sum":221383,"residue":69},{"from_index":1664,"to_index":2128,"sum":205966,"residue":394},{"from_index":2128,"to_index":2592,"sum":208419,"residue":69},{"from_index":2592,"to_index":272,"sum":206429,"residue":857}],"minimal_cycle":[532,857,69,394,69,857],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":532,"start_interval_clock_positions":[272,736],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-273","shape":"Hexagon","alpha_indices":[273,737,1201,1665,2129,2593],"clock_positions":[273,737,1201,1665,2129,2593],"native_values":[8,455,471,918,471,455],"rotation_degrees":35.30172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,455,471,918,471,455],"beta":{"interval_sums":[222849,220242,220997,205889,208496,206815],"interval_residues":[609,780,609,317,146,317],"display_cycle":[609,780,609,317,146,317],"intervals":[{"from_index":273,"to_index":737,"sum":222849,"residue":609},{"from_index":737,"to_index":1201,"sum":220242,"residue":780},{"from_index":1201,"to_index":1665,"sum":220997,"residue":609},{"from_index":1665,"to_index":2129,"sum":205889,"residue":317},{"from_index":2129,"to_index":2593,"sum":208496,"residue":146},{"from_index":2593,"to_index":273,"sum":206815,"residue":317}],"minimal_cycle":[609,780,609,317,146,317],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":609,"start_interval_clock_positions":[273,737],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-274","shape":"Hexagon","alpha_indices":[274,738,1202,1666,2130,2594],"clock_positions":[274,738,1202,1666,2130,2594],"native_values":[849,540,849,77,386,77],"rotation_degrees":35.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[849,540,849,77,386,77],"beta":{"interval_sums":[222455,220173,221066,206283,208565,206746],"interval_residues":[215,711,678,711,215,248],"display_cycle":[215,711,678,711,215,248],"intervals":[{"from_index":274,"to_index":738,"sum":222455,"residue":215},{"from_index":738,"to_index":1202,"sum":220173,"residue":711},{"from_index":1202,"to_index":1666,"sum":221066,"residue":678},{"from_index":1666,"to_index":2130,"sum":206283,"residue":711},{"from_index":2130,"to_index":2594,"sum":208565,"residue":215},{"from_index":2594,"to_index":274,"sum":206746,"residue":248}],"minimal_cycle":[215,711,678,711,215,248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":215,"start_interval_clock_positions":[274,738],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-275","shape":"Hexagon","alpha_indices":[275,739,1203,1667,2131,2595],"clock_positions":[275,739,1203,1667,2131,2595],"native_values":[857,69,394,69,857,532],"rotation_degrees":35.560344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[857,69,394,69,857,532],"beta":{"interval_sums":[222138,220953,220749,206600,207785,207063],"interval_residues":[824,565,361,102,361,565],"display_cycle":[824,565,361,102,361,565],"intervals":[{"from_index":275,"to_index":739,"sum":222138,"residue":824},{"from_index":739,"to_index":1203,"sum":220953,"residue":565},{"from_index":1203,"to_index":1667,"sum":220749,"residue":361},{"from_index":1667,"to_index":2131,"sum":206600,"residue":102},{"from_index":2131,"to_index":2595,"sum":207785,"residue":361},{"from_index":2595,"to_index":275,"sum":207063,"residue":565}],"minimal_cycle":[824,565,361,102,361,565],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":824,"start_interval_clock_positions":[275,739],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-276","shape":"Hexagon","alpha_indices":[276,740,1204,1668,2132,2596],"clock_positions":[276,740,1204,1668,2132,2596],"native_values":[780,609,317,146,317,609],"rotation_degrees":35.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[780,609,317,146,317,609],"beta":{"interval_sums":[221427,220738,220501,207311,208000,207311],"interval_residues":[113,350,113,813,576,813],"display_cycle":[113,350,113,813,576,813],"intervals":[{"from_index":276,"to_index":740,"sum":221427,"residue":113},{"from_index":740,"to_index":1204,"sum":220738,"residue":350},{"from_index":1204,"to_index":1668,"sum":220501,"residue":113},{"from_index":1668,"to_index":2132,"sum":207311,"residue":813},{"from_index":2132,"to_index":2596,"sum":208000,"residue":576},{"from_index":2596,"to_index":276,"sum":207311,"residue":813}],"minimal_cycle":[113,350,113,813,576,813],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":113,"start_interval_clock_positions":[276,740],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-277","shape":"Hexagon","alpha_indices":[277,741,1205,1669,2133,2597],"clock_positions":[277,741,1205,1669,2133,2597],"native_values":[711,678,711,215,248,215],"rotation_degrees":35.81896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[711,678,711,215,248,215],"beta":{"interval_sums":[221325,220377,219936,207413,208361,207876],"interval_residues":[11,915,474,915,11,452],"display_cycle":[11,915,474,915,11,452],"intervals":[{"from_index":277,"to_index":741,"sum":221325,"residue":11},{"from_index":741,"to_index":1205,"sum":220377,"residue":915},{"from_index":1205,"to_index":1669,"sum":219936,"residue":474},{"from_index":1669,"to_index":2133,"sum":207413,"residue":915},{"from_index":2133,"to_index":2597,"sum":208361,"residue":11},{"from_index":2597,"to_index":277,"sum":207876,"residue":452}],"minimal_cycle":[11,915,474,915,11,452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":11,"start_interval_clock_positions":[277,741],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-278","shape":"Hexagon","alpha_indices":[278,742,1206,1670,2134,2598],"clock_positions":[278,742,1206,1670,2134,2598],"native_values":[565,361,102,361,565,824],"rotation_degrees":35.94827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,361,102,361,565,824],"beta":{"interval_sums":[221438,220727,220049,207300,208011,207763],"interval_residues":[124,339,587,802,587,339],"display_cycle":[124,339,587,802,587,339],"intervals":[{"from_index":278,"to_index":742,"sum":221438,"residue":124},{"from_index":742,"to_index":1206,"sum":220727,"residue":339},{"from_index":1206,"to_index":1670,"sum":220049,"residue":587},{"from_index":1670,"to_index":2134,"sum":207300,"residue":802},{"from_index":2134,"to_index":2598,"sum":208011,"residue":587},{"from_index":2598,"to_index":278,"sum":207763,"residue":339}],"minimal_cycle":[124,339,587,802,587,339],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[278,742],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-279","shape":"Hexagon","alpha_indices":[279,743,1207,1671,2135,2599],"clock_positions":[279,743,1207,1671,2135,2599],"native_values":[350,113,813,576,813,113],"rotation_degrees":36.077586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[350,113,813,576,813,113],"beta":{"interval_sums":[221449,220716,219597,207289,208022,208215],"interval_residues":[135,328,135,791,598,791],"display_cycle":[135,328,135,791,598,791],"intervals":[{"from_index":279,"to_index":743,"sum":221449,"residue":135},{"from_index":743,"to_index":1207,"sum":220716,"residue":328},{"from_index":1207,"to_index":1671,"sum":219597,"residue":135},{"from_index":1671,"to_index":2135,"sum":207289,"residue":791},{"from_index":2135,"to_index":2599,"sum":208022,"residue":598},{"from_index":2599,"to_index":279,"sum":208215,"residue":791}],"minimal_cycle":[135,328,135,791,598,791],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":135,"start_interval_clock_positions":[279,743],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-280","shape":"Hexagon","alpha_indices":[280,744,1208,1672,2136,2600],"clock_positions":[280,744,1208,1672,2136,2600],"native_values":[915,474,915,11,452,11],"rotation_degrees":36.206896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[915,474,915,11,452,11],"beta":{"interval_sums":[220647,221055,219258,208091,207683,208554],"interval_residues":[259,667,722,667,259,204],"display_cycle":[259,667,722,667,259,204],"intervals":[{"from_index":280,"to_index":744,"sum":220647,"residue":259},{"from_index":744,"to_index":1208,"sum":221055,"residue":667},{"from_index":1208,"to_index":1672,"sum":219258,"residue":722},{"from_index":1672,"to_index":2136,"sum":208091,"residue":667},{"from_index":2136,"to_index":2600,"sum":207683,"residue":259},{"from_index":2600,"to_index":280,"sum":208554,"residue":204}],"minimal_cycle":[259,667,722,667,259,204],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":259,"start_interval_clock_positions":[280,744],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-281","shape":"Hexagon","alpha_indices":[281,745,1209,1673,2137,2601],"clock_positions":[281,745,1209,1673,2137,2601],"native_values":[339,587,802,587,339,124],"rotation_degrees":36.33620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[339,587,802,587,339,124],"beta":{"interval_sums":[220782,221383,218467,207956,207355,209345],"interval_residues":[394,69,857,532,857,69],"display_cycle":[394,69,857,532,857,69],"intervals":[{"from_index":281,"to_index":745,"sum":220782,"residue":394},{"from_index":745,"to_index":1209,"sum":221383,"residue":69},{"from_index":1209,"to_index":1673,"sum":218467,"residue":857},{"from_index":1673,"to_index":2137,"sum":207956,"residue":532},{"from_index":2137,"to_index":2601,"sum":207355,"residue":857},{"from_index":2601,"to_index":281,"sum":209345,"residue":69}],"minimal_cycle":[394,69,857,532,857,69],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[281,745],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-282","shape":"Hexagon","alpha_indices":[282,746,1210,1674,2138,2602],"clock_positions":[282,746,1210,1674,2138,2602],"native_values":[328,135,791,598,791,135],"rotation_degrees":36.46551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[328,135,791,598,791,135],"beta":{"interval_sums":[221041,222050,218263,207697,206688,209549],"interval_residues":[653,736,653,273,190,273],"display_cycle":[653,736,653,273,190,273],"intervals":[{"from_index":282,"to_index":746,"sum":221041,"residue":653},{"from_index":746,"to_index":1210,"sum":222050,"residue":736},{"from_index":1210,"to_index":1674,"sum":218263,"residue":653},{"from_index":1674,"to_index":2138,"sum":207697,"residue":273},{"from_index":2138,"to_index":2602,"sum":206688,"residue":190},{"from_index":2602,"to_index":282,"sum":209549,"residue":273}],"minimal_cycle":[653,736,653,273,190,273],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":653,"start_interval_clock_positions":[282,746],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-283","shape":"Hexagon","alpha_indices":[283,747,1211,1675,2139,2603],"clock_positions":[283,747,1211,1675,2139,2603],"native_values":[667,722,667,259,204,259],"rotation_degrees":36.5948275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[667,722,667,259,204,259],"beta":{"interval_sums":[220509,222119,218194,208229,206619,209618],"interval_residues":[121,805,584,805,121,342],"display_cycle":[121,805,584,805,121,342],"intervals":[{"from_index":283,"to_index":747,"sum":220509,"residue":121},{"from_index":747,"to_index":1211,"sum":222119,"residue":805},{"from_index":1211,"to_index":1675,"sum":218194,"residue":584},{"from_index":1675,"to_index":2139,"sum":208229,"residue":805},{"from_index":2139,"to_index":2603,"sum":206619,"residue":121},{"from_index":2603,"to_index":283,"sum":209618,"residue":342}],"minimal_cycle":[121,805,584,805,121,342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":121,"start_interval_clock_positions":[283,747],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-284","shape":"Hexagon","alpha_indices":[284,748,1212,1676,2140,2604],"clock_positions":[284,748,1212,1676,2140,2604],"native_values":[69,857,532,857,69,394],"rotation_degrees":36.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[69,857,532,857,69,394],"beta":{"interval_sums":[221162,221929,217921,207576,206809,209891],"interval_residues":[774,615,311,152,311,615],"display_cycle":[774,615,311,152,311,615],"intervals":[{"from_index":284,"to_index":748,"sum":221162,"residue":774},{"from_index":748,"to_index":1212,"sum":221929,"residue":615},{"from_index":1212,"to_index":1676,"sum":217921,"residue":311},{"from_index":1676,"to_index":2140,"sum":207576,"residue":152},{"from_index":2140,"to_index":2604,"sum":206809,"residue":311},{"from_index":2604,"to_index":284,"sum":209891,"residue":615}],"minimal_cycle":[774,615,311,152,311,615],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":774,"start_interval_clock_positions":[284,748],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-285","shape":"Hexagon","alpha_indices":[285,749,1213,1677,2141,2605],"clock_positions":[285,749,1213,1677,2141,2605],"native_values":[736,653,273,190,273,653],"rotation_degrees":36.85344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[736,653,273,190,273,653],"beta":{"interval_sums":[221283,221808,218505,207455,206930,209307],"interval_residues":[895,494,895,31,432,31],"display_cycle":[895,494,895,31,432,31],"intervals":[{"from_index":285,"to_index":749,"sum":221283,"residue":895},{"from_index":749,"to_index":1213,"sum":221808,"residue":494},{"from_index":1213,"to_index":1677,"sum":218505,"residue":895},{"from_index":1677,"to_index":2141,"sum":207455,"residue":31},{"from_index":2141,"to_index":2605,"sum":206930,"residue":432},{"from_index":2605,"to_index":285,"sum":209307,"residue":31}],"minimal_cycle":[895,494,895,31,432,31],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":895,"start_interval_clock_positions":[285,749],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-286","shape":"Hexagon","alpha_indices":[286,750,1214,1678,2142,2606],"clock_positions":[286,750,1214,1678,2142,2606],"native_values":[805,584,805,121,342,121],"rotation_degrees":36.98275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[805,584,805,121,342,121],"beta":{"interval_sums":[221131,221497,217890,207607,207241,209922],"interval_residues":[743,183,280,183,743,646],"display_cycle":[743,183,280,183,743,646],"intervals":[{"from_index":286,"to_index":750,"sum":221131,"residue":743},{"from_index":750,"to_index":1214,"sum":221497,"residue":183},{"from_index":1214,"to_index":1678,"sum":217890,"residue":280},{"from_index":1678,"to_index":2142,"sum":207607,"residue":183},{"from_index":2142,"to_index":2606,"sum":207241,"residue":743},{"from_index":2606,"to_index":286,"sum":209922,"residue":646}],"minimal_cycle":[743,183,280,183,743,646],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":743,"start_interval_clock_positions":[286,750],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-287","shape":"Hexagon","alpha_indices":[287,751,1215,1679,2143,2607],"clock_positions":[287,751,1215,1679,2143,2607],"native_values":[615,311,152,311,615,774],"rotation_degrees":37.11206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[615,311,152,311,615,774],"beta":{"interval_sums":[221100,221991,217859,207638,206747,209953],"interval_residues":[712,677,249,214,249,677],"display_cycle":[712,677,249,214,249,677],"intervals":[{"from_index":287,"to_index":751,"sum":221100,"residue":712},{"from_index":751,"to_index":1215,"sum":221991,"residue":677},{"from_index":1215,"to_index":1679,"sum":217859,"residue":249},{"from_index":1679,"to_index":2143,"sum":207638,"residue":214},{"from_index":2143,"to_index":2607,"sum":206747,"residue":249},{"from_index":2607,"to_index":287,"sum":209953,"residue":677}],"minimal_cycle":[712,677,249,214,249,677],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":712,"start_interval_clock_positions":[287,751],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-288","shape":"Hexagon","alpha_indices":[288,752,1216,1680,2144,2608],"clock_positions":[288,752,1216,1680,2144,2608],"native_values":[494,895,31,432,31,895],"rotation_degrees":37.241379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[494,895,31,432,31,895],"beta":{"interval_sums":[220917,221248,218139,207821,207490,209673],"interval_residues":[529,860,529,397,66,397],"display_cycle":[529,860,529,397,66,397],"intervals":[{"from_index":288,"to_index":752,"sum":220917,"residue":529},{"from_index":752,"to_index":1216,"sum":221248,"residue":860},{"from_index":1216,"to_index":1680,"sum":218139,"residue":529},{"from_index":1680,"to_index":2144,"sum":207821,"residue":397},{"from_index":2144,"to_index":2608,"sum":207490,"residue":66},{"from_index":2608,"to_index":288,"sum":209673,"residue":397}],"minimal_cycle":[529,860,529,397,66,397],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":529,"start_interval_clock_positions":[288,752],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-289","shape":"Hexagon","alpha_indices":[289,753,1217,1681,2145,2609],"clock_positions":[289,753,1217,1681,2145,2609],"native_values":[183,280,183,743,646,743],"rotation_degrees":37.37068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[183,280,183,743,646,743],"beta":{"interval_sums":[221629,220999,218388,207109,207739,209424],"interval_residues":[315,611,778,611,315,148],"display_cycle":[315,611,778,611,315,148],"intervals":[{"from_index":289,"to_index":753,"sum":221629,"residue":315},{"from_index":753,"to_index":1217,"sum":220999,"residue":611},{"from_index":1217,"to_index":1681,"sum":218388,"residue":778},{"from_index":1681,"to_index":2145,"sum":207109,"residue":611},{"from_index":2145,"to_index":2609,"sum":207739,"residue":315},{"from_index":2609,"to_index":289,"sum":209424,"residue":148}],"minimal_cycle":[315,611,778,611,315,148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":315,"start_interval_clock_positions":[289,753],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-290","shape":"Hexagon","alpha_indices":[290,754,1218,1682,2146,2610],"clock_positions":[290,754,1218,1682,2146,2610],"native_values":[677,249,214,249,677,712],"rotation_degrees":37.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[677,249,214,249,677,712],"beta":{"interval_sums":[221232,220933,218917,207506,207805,208895],"interval_residues":[844,545,381,82,381,545],"display_cycle":[844,545,381,82,381,545],"intervals":[{"from_index":290,"to_index":754,"sum":221232,"residue":844},{"from_index":754,"to_index":1218,"sum":220933,"residue":545},{"from_index":1218,"to_index":1682,"sum":218917,"residue":381},{"from_index":1682,"to_index":2146,"sum":207506,"residue":82},{"from_index":2146,"to_index":2610,"sum":207805,"residue":381},{"from_index":2610,"to_index":290,"sum":208895,"residue":545}],"minimal_cycle":[844,545,381,82,381,545],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":844,"start_interval_clock_positions":[290,754],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-291","shape":"Hexagon","alpha_indices":[291,755,1219,1683,2147,2611],"clock_positions":[291,755,1219,1683,2147,2611],"native_values":[860,529,397,66,397,529],"rotation_degrees":37.62931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[860,529,397,66,397,529],"beta":{"interval_sums":[220621,220618,218769,208117,208120,209043],"interval_residues":[233,230,233,693,696,693],"display_cycle":[233,230,233,693,696,693],"intervals":[{"from_index":291,"to_index":755,"sum":220621,"residue":233},{"from_index":755,"to_index":1219,"sum":220618,"residue":230},{"from_index":1219,"to_index":1683,"sum":218769,"residue":233},{"from_index":1683,"to_index":2147,"sum":208117,"residue":693},{"from_index":2147,"to_index":2611,"sum":208120,"residue":696},{"from_index":2611,"to_index":291,"sum":209043,"residue":693}],"minimal_cycle":[233,230,233,693,696,693],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":233,"start_interval_clock_positions":[291,755],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-292","shape":"Hexagon","alpha_indices":[292,756,1220,1684,2148,2612],"clock_positions":[292,756,1220,1684,2148,2612],"native_values":[611,778,611,315,148,315],"rotation_degrees":37.758620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[611,778,611,315,148,315],"beta":{"interval_sums":[220539,220237,218224,208199,208501,209588],"interval_residues":[151,775,614,775,151,312],"display_cycle":[151,775,614,775,151,312],"intervals":[{"from_index":292,"to_index":756,"sum":220539,"residue":151},{"from_index":756,"to_index":1220,"sum":220237,"residue":775},{"from_index":1220,"to_index":1684,"sum":218224,"residue":614},{"from_index":1684,"to_index":2148,"sum":208199,"residue":775},{"from_index":2148,"to_index":2612,"sum":208501,"residue":151},{"from_index":2612,"to_index":292,"sum":209588,"residue":312}],"minimal_cycle":[151,775,614,775,151,312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":151,"start_interval_clock_positions":[292,756],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-293","shape":"Hexagon","alpha_indices":[293,757,1221,1685,2149,2613],"clock_positions":[293,757,1221,1685,2149,2613],"native_values":[545,381,82,381,545,844],"rotation_degrees":37.88793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,381,82,381,545,844],"beta":{"interval_sums":[220772,220467,218457,207966,208271,209355],"interval_residues":[384,79,847,542,847,79],"display_cycle":[384,79,847,542,847,79],"intervals":[{"from_index":293,"to_index":757,"sum":220772,"residue":384},{"from_index":757,"to_index":1221,"sum":220467,"residue":79},{"from_index":1221,"to_index":1685,"sum":218457,"residue":847},{"from_index":1685,"to_index":2149,"sum":207966,"residue":542},{"from_index":2149,"to_index":2613,"sum":208271,"residue":847},{"from_index":2613,"to_index":293,"sum":209355,"residue":79}],"minimal_cycle":[384,79,847,542,847,79],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[293,757],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-294","shape":"Hexagon","alpha_indices":[294,758,1222,1686,2150,2614],"clock_positions":[294,758,1222,1686,2150,2614],"native_values":[230,233,693,696,693,233],"rotation_degrees":38.01724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[230,233,693,696,693,233],"beta":{"interval_sums":[220923,220316,218145,207815,208422,209667],"interval_residues":[535,854,535,391,72,391],"display_cycle":[535,854,535,391,72,391],"intervals":[{"from_index":294,"to_index":758,"sum":220923,"residue":535},{"from_index":758,"to_index":1222,"sum":220316,"residue":854},{"from_index":1222,"to_index":1686,"sum":218145,"residue":535},{"from_index":1686,"to_index":2150,"sum":207815,"residue":391},{"from_index":2150,"to_index":2614,"sum":208422,"residue":72},{"from_index":2614,"to_index":294,"sum":209667,"residue":391}],"minimal_cycle":[535,854,535,391,72,391],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":535,"start_interval_clock_positions":[294,758],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-295","shape":"Hexagon","alpha_indices":[295,759,1223,1687,2151,2615],"clock_positions":[295,759,1223,1687,2151,2615],"native_values":[775,614,775,151,312,151],"rotation_degrees":38.14655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[775,614,775,151,312,151],"beta":{"interval_sums":[220381,220395,218066,208357,208343,209746],"interval_residues":[919,7,456,7,919,470],"display_cycle":[919,7,456,7,919,470],"intervals":[{"from_index":295,"to_index":759,"sum":220381,"residue":919},{"from_index":759,"to_index":1223,"sum":220395,"residue":7},{"from_index":1223,"to_index":1687,"sum":218066,"residue":456},{"from_index":1687,"to_index":2151,"sum":208357,"residue":7},{"from_index":2151,"to_index":2615,"sum":208343,"residue":919},{"from_index":2615,"to_index":295,"sum":209746,"residue":470}],"minimal_cycle":[919,7,456,7,919,470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":919,"start_interval_clock_positions":[295,759],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-296","shape":"Hexagon","alpha_indices":[296,760,1224,1688,2152,2616],"clock_positions":[296,760,1224,1688,2152,2616],"native_values":[79,847,542,847,79,384],"rotation_degrees":38.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,847,542,847,79,384],"beta":{"interval_sums":[220916,220323,217675,207822,208415,210137],"interval_residues":[528,861,65,398,65,861],"display_cycle":[528,861,65,398,65,861],"intervals":[{"from_index":296,"to_index":760,"sum":220916,"residue":528},{"from_index":760,"to_index":1224,"sum":220323,"residue":861},{"from_index":1224,"to_index":1688,"sum":217675,"residue":65},{"from_index":1688,"to_index":2152,"sum":207822,"residue":398},{"from_index":2152,"to_index":2616,"sum":208415,"residue":65},{"from_index":2616,"to_index":296,"sum":210137,"residue":861}],"minimal_cycle":[528,861,65,398,65,861],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":528,"start_interval_clock_positions":[296,760],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-297","shape":"Hexagon","alpha_indices":[297,761,1225,1689,2153,2617],"clock_positions":[297,761,1225,1689,2153,2617],"native_values":[854,535,391,72,391,535],"rotation_degrees":38.4051724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[854,535,391,72,391,535],"beta":{"interval_sums":[220909,220330,218131,207829,208408,209681],"interval_residues":[521,868,521,405,58,405],"display_cycle":[521,868,521,405,58,405],"intervals":[{"from_index":297,"to_index":761,"sum":220909,"residue":521},{"from_index":761,"to_index":1225,"sum":220330,"residue":868},{"from_index":1225,"to_index":1689,"sum":218131,"residue":521},{"from_index":1689,"to_index":2153,"sum":207829,"residue":405},{"from_index":2153,"to_index":2617,"sum":208408,"residue":58},{"from_index":2617,"to_index":297,"sum":209681,"residue":405}],"minimal_cycle":[521,868,521,405,58,405],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":521,"start_interval_clock_positions":[297,761],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-298","shape":"Hexagon","alpha_indices":[298,762,1226,1690,2154,2618],"clock_positions":[298,762,1226,1690,2154,2618],"native_values":[7,456,7,919,470,919],"rotation_degrees":38.53448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[7,456,7,919,470,919],"beta":{"interval_sums":[221437,220265,218196,207301,208473,209616],"interval_residues":[123,803,586,803,123,340],"display_cycle":[123,803,586,803,123,340],"intervals":[{"from_index":298,"to_index":762,"sum":221437,"residue":123},{"from_index":762,"to_index":1226,"sum":220265,"residue":803},{"from_index":1226,"to_index":1690,"sum":218196,"residue":586},{"from_index":1690,"to_index":2154,"sum":207301,"residue":803},{"from_index":2154,"to_index":2618,"sum":208473,"residue":123},{"from_index":2618,"to_index":298,"sum":209616,"residue":340}],"minimal_cycle":[123,803,586,803,123,340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":123,"start_interval_clock_positions":[298,762],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-299","shape":"Hexagon","alpha_indices":[299,763,1227,1691,2155,2619],"clock_positions":[299,763,1227,1691,2155,2619],"native_values":[861,65,398,65,861,528],"rotation_degrees":38.66379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[861,65,398,65,861,528],"beta":{"interval_sums":[221032,220207,218717,207706,208531,209095],"interval_residues":[644,745,181,282,181,745],"display_cycle":[644,745,181,282,181,745],"intervals":[{"from_index":299,"to_index":763,"sum":221032,"residue":644},{"from_index":763,"to_index":1227,"sum":220207,"residue":745},{"from_index":1227,"to_index":1691,"sum":218717,"residue":181},{"from_index":1691,"to_index":2155,"sum":207706,"residue":282},{"from_index":2155,"to_index":2619,"sum":208531,"residue":181},{"from_index":2619,"to_index":299,"sum":209095,"residue":745}],"minimal_cycle":[644,745,181,282,181,745],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[299,763],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-300","shape":"Hexagon","alpha_indices":[300,764,1228,1692,2156,2620],"clock_positions":[300,764,1228,1692,2156,2620],"native_values":[868,521,405,58,405,521],"rotation_degrees":38.793103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[868,521,405,58,405,521],"beta":{"interval_sums":[220229,220084,218377,208509,208654,209435],"interval_residues":[767,622,767,159,304,159],"display_cycle":[767,622,767,159,304,159],"intervals":[{"from_index":300,"to_index":764,"sum":220229,"residue":767},{"from_index":764,"to_index":1228,"sum":220084,"residue":622},{"from_index":1228,"to_index":1692,"sum":218377,"residue":767},{"from_index":1692,"to_index":2156,"sum":208509,"residue":159},{"from_index":2156,"to_index":2620,"sum":208654,"residue":304},{"from_index":2620,"to_index":300,"sum":209435,"residue":159}],"minimal_cycle":[767,622,767,159,304,159],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":767,"start_interval_clock_positions":[300,764],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-301","shape":"Hexagon","alpha_indices":[301,765,1229,1693,2157,2621],"clock_positions":[301,765,1229,1693,2157,2621],"native_values":[803,586,803,123,340,123],"rotation_degrees":38.922413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[803,586,803,123,340,123],"beta":{"interval_sums":[219947,219903,217632,208791,208835,210180],"interval_residues":[485,441,22,441,485,904],"display_cycle":[485,441,22,441,485,904],"intervals":[{"from_index":301,"to_index":765,"sum":219947,"residue":485},{"from_index":765,"to_index":1229,"sum":219903,"residue":441},{"from_index":1229,"to_index":1693,"sum":217632,"residue":22},{"from_index":1693,"to_index":2157,"sum":208791,"residue":441},{"from_index":2157,"to_index":2621,"sum":208835,"residue":485},{"from_index":2621,"to_index":301,"sum":210180,"residue":904}],"minimal_cycle":[485,441,22,441,485,904],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":485,"start_interval_clock_positions":[301,765],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-302","shape":"Hexagon","alpha_indices":[302,766,1230,1694,2158,2622],"clock_positions":[302,766,1230,1694,2158,2622],"native_values":[745,181,282,181,745,644],"rotation_degrees":39.05172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[745,181,282,181,745,644],"beta":{"interval_sums":[219788,220525,217473,208950,208213,210339],"interval_residues":[326,137,789,600,789,137],"display_cycle":[326,137,789,600,789,137],"intervals":[{"from_index":302,"to_index":766,"sum":219788,"residue":326},{"from_index":766,"to_index":1230,"sum":220525,"residue":137},{"from_index":1230,"to_index":1694,"sum":217473,"residue":789},{"from_index":1694,"to_index":2158,"sum":208950,"residue":600},{"from_index":2158,"to_index":2622,"sum":208213,"residue":789},{"from_index":2622,"to_index":302,"sum":210339,"residue":137}],"minimal_cycle":[326,137,789,600,789,137],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[302,766],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-303","shape":"Hexagon","alpha_indices":[303,767,1231,1695,2159,2623],"clock_positions":[303,767,1231,1695,2159,2623],"native_values":[622,767,159,304,159,767],"rotation_degrees":39.18103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[622,767,159,304,159,767],"beta":{"interval_sums":[219347,220040,217495,209391,208698,210317],"interval_residues":[811,578,811,115,348,115],"display_cycle":[811,578,811,115,348,115],"intervals":[{"from_index":303,"to_index":767,"sum":219347,"residue":811},{"from_index":767,"to_index":1231,"sum":220040,"residue":578},{"from_index":1231,"to_index":1695,"sum":217495,"residue":811},{"from_index":1695,"to_index":2159,"sum":209391,"residue":115},{"from_index":2159,"to_index":2623,"sum":208698,"residue":348},{"from_index":2623,"to_index":303,"sum":210317,"residue":115}],"minimal_cycle":[811,578,811,115,348,115],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":811,"start_interval_clock_positions":[303,767],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-304","shape":"Hexagon","alpha_indices":[304,768,1232,1696,2160,2624],"clock_positions":[304,768,1232,1696,2160,2624],"native_values":[441,22,441,485,904,485],"rotation_degrees":39.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,22,441,485,904,485],"beta":{"interval_sums":[219673,220177,217358,209065,208561,210454],"interval_residues":[211,715,674,715,211,252],"display_cycle":[211,715,674,715,211,252],"intervals":[{"from_index":304,"to_index":768,"sum":219673,"residue":211},{"from_index":768,"to_index":1232,"sum":220177,"residue":715},{"from_index":1232,"to_index":1696,"sum":217358,"residue":674},{"from_index":1696,"to_index":2160,"sum":209065,"residue":715},{"from_index":2160,"to_index":2624,"sum":208561,"residue":211},{"from_index":2624,"to_index":304,"sum":210454,"residue":252}],"minimal_cycle":[211,715,674,715,211,252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":211,"start_interval_clock_positions":[304,768],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-305","shape":"Hexagon","alpha_indices":[305,769,1233,1697,2161,2625],"clock_positions":[305,769,1233,1697,2161,2625],"native_values":[137,789,600,789,137,326],"rotation_degrees":39.439655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,789,600,789,137,326],"beta":{"interval_sums":[219558,219829,217243,209180,208909,210569],"interval_residues":[96,367,559,830,559,367],"display_cycle":[96,367,559,830,559,367],"intervals":[{"from_index":305,"to_index":769,"sum":219558,"residue":96},{"from_index":769,"to_index":1233,"sum":219829,"residue":367},{"from_index":1233,"to_index":1697,"sum":217243,"residue":559},{"from_index":1697,"to_index":2161,"sum":209180,"residue":830},{"from_index":2161,"to_index":2625,"sum":208909,"residue":559},{"from_index":2625,"to_index":305,"sum":210569,"residue":367}],"minimal_cycle":[96,367,559,830,559,367],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[305,769],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-306","shape":"Hexagon","alpha_indices":[306,770,1234,1698,2162,2626],"clock_positions":[306,770,1234,1698,2162,2626],"native_values":[578,811,115,348,115,811],"rotation_degrees":39.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[578,811,115,348,115,811],"beta":{"interval_sums":[219769,219618,217917,208969,209120,209895],"interval_residues":[307,156,307,619,770,619],"display_cycle":[307,156,307,619,770,619],"intervals":[{"from_index":306,"to_index":770,"sum":219769,"residue":307},{"from_index":770,"to_index":1234,"sum":219618,"residue":156},{"from_index":1234,"to_index":1698,"sum":217917,"residue":307},{"from_index":1698,"to_index":2162,"sum":208969,"residue":619},{"from_index":2162,"to_index":2626,"sum":209120,"residue":770},{"from_index":2626,"to_index":306,"sum":209895,"residue":619}],"minimal_cycle":[307,156,307,619,770,619],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":307,"start_interval_clock_positions":[306,770],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-307","shape":"Hexagon","alpha_indices":[307,771,1235,1699,2163,2627],"clock_positions":[307,771,1235,1699,2163,2627],"native_values":[715,674,715,211,252,211],"rotation_degrees":39.69827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[715,674,715,211,252,211],"beta":{"interval_sums":[219865,219059,217550,208873,209679,210262],"interval_residues":[403,523,866,523,403,60],"display_cycle":[403,523,866,523,403,60],"intervals":[{"from_index":307,"to_index":771,"sum":219865,"residue":403},{"from_index":771,"to_index":1235,"sum":219059,"residue":523},{"from_index":1235,"to_index":1699,"sum":217550,"residue":866},{"from_index":1699,"to_index":2163,"sum":208873,"residue":523},{"from_index":2163,"to_index":2627,"sum":209679,"residue":403},{"from_index":2627,"to_index":307,"sum":210262,"residue":60}],"minimal_cycle":[403,523,866,523,403,60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":403,"start_interval_clock_positions":[307,771],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-308","shape":"Hexagon","alpha_indices":[308,772,1236,1700,2164,2628],"clock_positions":[308,772,1236,1700,2164,2628],"native_values":[367,559,830,559,367,96],"rotation_degrees":39.827586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[367,559,830,559,367,96],"beta":{"interval_sums":[220172,219215,216931,208566,209523,210881],"interval_residues":[710,679,247,216,247,679],"display_cycle":[710,679,247,216,247,679],"intervals":[{"from_index":308,"to_index":772,"sum":220172,"residue":710},{"from_index":772,"to_index":1236,"sum":219215,"residue":679},{"from_index":1236,"to_index":1700,"sum":216931,"residue":247},{"from_index":1700,"to_index":2164,"sum":208566,"residue":216},{"from_index":2164,"to_index":2628,"sum":209523,"residue":247},{"from_index":2628,"to_index":308,"sum":210881,"residue":679}],"minimal_cycle":[710,679,247,216,247,679],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":710,"start_interval_clock_positions":[308,772],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-309","shape":"Hexagon","alpha_indices":[309,773,1237,1701,2165,2629],"clock_positions":[309,773,1237,1701,2165,2629],"native_values":[156,307,619,770,619,307],"rotation_degrees":39.956896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[156,307,619,770,619,307],"beta":{"interval_sums":[220575,219738,216871,208163,209000,210941],"interval_residues":[187,276,187,739,650,739],"display_cycle":[187,276,187,739,650,739],"intervals":[{"from_index":309,"to_index":773,"sum":220575,"residue":187},{"from_index":773,"to_index":1237,"sum":219738,"residue":276},{"from_index":1237,"to_index":1701,"sum":216871,"residue":187},{"from_index":1701,"to_index":2165,"sum":208163,"residue":739},{"from_index":2165,"to_index":2629,"sum":209000,"residue":650},{"from_index":2629,"to_index":309,"sum":210941,"residue":739}],"minimal_cycle":[187,276,187,739,650,739],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":187,"start_interval_clock_positions":[309,773],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-310","shape":"Hexagon","alpha_indices":[310,774,1238,1702,2166,2630],"clock_positions":[310,774,1238,1702,2166,2630],"native_values":[523,866,523,403,60,403],"rotation_degrees":40.08620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,866,523,403,60,403],"beta":{"interval_sums":[220359,219491,217118,208379,209247,210694],"interval_residues":[897,29,434,29,897,492],"display_cycle":[897,29,434,29,897,492],"intervals":[{"from_index":310,"to_index":774,"sum":220359,"residue":897},{"from_index":774,"to_index":1238,"sum":219491,"residue":29},{"from_index":1238,"to_index":1702,"sum":217118,"residue":434},{"from_index":1702,"to_index":2166,"sum":208379,"residue":29},{"from_index":2166,"to_index":2630,"sum":209247,"residue":897},{"from_index":2630,"to_index":310,"sum":210694,"residue":492}],"minimal_cycle":[897,29,434,29,897,492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":897,"start_interval_clock_positions":[310,774],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-311","shape":"Hexagon","alpha_indices":[311,775,1239,1703,2167,2631],"clock_positions":[311,775,1239,1703,2167,2631],"native_values":[679,247,216,247,679,710],"rotation_degrees":40.21551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[679,247,216,247,679,710],"beta":{"interval_sums":[220546,219767,217305,208192,208971,210507],"interval_residues":[158,305,621,768,621,305],"display_cycle":[158,305,621,768,621,305],"intervals":[{"from_index":311,"to_index":775,"sum":220546,"residue":158},{"from_index":775,"to_index":1239,"sum":219767,"residue":305},{"from_index":1239,"to_index":1703,"sum":217305,"residue":621},{"from_index":1703,"to_index":2167,"sum":208192,"residue":768},{"from_index":2167,"to_index":2631,"sum":208971,"residue":621},{"from_index":2631,"to_index":311,"sum":210507,"residue":305}],"minimal_cycle":[158,305,621,768,621,305],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":158,"start_interval_clock_positions":[311,775],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-312","shape":"Hexagon","alpha_indices":[312,776,1240,1704,2168,2632],"clock_positions":[312,776,1240,1704,2168,2632],"native_values":[276,187,739,650,739,187],"rotation_degrees":40.3448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[276,187,739,650,739,187],"beta":{"interval_sums":[220517,219796,216813,208221,208942,210999],"interval_residues":[129,334,129,797,592,797],"display_cycle":[129,334,129,797,592,797],"intervals":[{"from_index":312,"to_index":776,"sum":220517,"residue":129},{"from_index":776,"to_index":1240,"sum":219796,"residue":334},{"from_index":1240,"to_index":1704,"sum":216813,"residue":129},{"from_index":1704,"to_index":2168,"sum":208221,"residue":797},{"from_index":2168,"to_index":2632,"sum":208942,"residue":592},{"from_index":2632,"to_index":312,"sum":210999,"residue":797}],"minimal_cycle":[129,334,129,797,592,797],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":129,"start_interval_clock_positions":[312,776],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-313","shape":"Hexagon","alpha_indices":[313,777,1241,1705,2169,2633],"clock_positions":[313,777,1241,1705,2169,2633],"native_values":[29,434,29,897,492,897],"rotation_degrees":40.474137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,434,29,897,492,897],"beta":{"interval_sums":[220675,220101,217434,208063,208637,210378],"interval_residues":[287,639,750,639,287,176],"display_cycle":[287,639,750,639,287,176],"intervals":[{"from_index":313,"to_index":777,"sum":220675,"residue":287},{"from_index":777,"to_index":1241,"sum":220101,"residue":639},{"from_index":1241,"to_index":1705,"sum":217434,"residue":750},{"from_index":1705,"to_index":2169,"sum":208063,"residue":639},{"from_index":2169,"to_index":2633,"sum":208637,"residue":287},{"from_index":2633,"to_index":313,"sum":210378,"residue":176}],"minimal_cycle":[287,639,750,639,287,176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":287,"start_interval_clock_positions":[313,777],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-314","shape":"Hexagon","alpha_indices":[314,778,1242,1706,2170,2634],"clock_positions":[314,778,1242,1706,2170,2634],"native_values":[305,621,768,621,305,158],"rotation_degrees":40.60344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,621,768,621,305,158],"beta":{"interval_sums":[220804,219509,217563,207934,209229,210249],"interval_residues":[416,47,879,510,879,47],"display_cycle":[416,47,879,510,879,47],"intervals":[{"from_index":314,"to_index":778,"sum":220804,"residue":416},{"from_index":778,"to_index":1242,"sum":219509,"residue":47},{"from_index":1242,"to_index":1706,"sum":217563,"residue":879},{"from_index":1706,"to_index":2170,"sum":207934,"residue":510},{"from_index":2170,"to_index":2634,"sum":209229,"residue":879},{"from_index":2634,"to_index":314,"sum":210249,"residue":47}],"minimal_cycle":[416,47,879,510,879,47],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[314,778],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-315","shape":"Hexagon","alpha_indices":[315,779,1243,1707,2171,2635],"clock_positions":[315,779,1243,1707,2171,2635],"native_values":[334,129,797,592,797,129],"rotation_degrees":40.73275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[334,129,797,592,797,129],"beta":{"interval_sums":[221091,220148,217387,207647,208590,210425],"interval_residues":[703,686,703,223,240,223],"display_cycle":[703,686,703,223,240,223],"intervals":[{"from_index":315,"to_index":779,"sum":221091,"residue":703},{"from_index":779,"to_index":1243,"sum":220148,"residue":686},{"from_index":1243,"to_index":1707,"sum":217387,"residue":703},{"from_index":1707,"to_index":2171,"sum":207647,"residue":223},{"from_index":2171,"to_index":2635,"sum":208590,"residue":240},{"from_index":2635,"to_index":315,"sum":210425,"residue":223}],"minimal_cycle":[703,686,703,223,240,223],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":703,"start_interval_clock_positions":[315,779],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-316","shape":"Hexagon","alpha_indices":[316,780,1244,1708,2172,2636],"clock_positions":[316,780,1244,1708,2172,2636],"native_values":[639,750,639,287,176,287],"rotation_degrees":40.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[639,750,639,287,176,287],"beta":{"interval_sums":[220581,220195,217340,208157,208543,210472],"interval_residues":[193,733,656,733,193,270],"display_cycle":[193,733,656,733,193,270],"intervals":[{"from_index":316,"to_index":780,"sum":220581,"residue":193},{"from_index":780,"to_index":1244,"sum":220195,"residue":733},{"from_index":1244,"to_index":1708,"sum":217340,"residue":656},{"from_index":1708,"to_index":2172,"sum":208157,"residue":733},{"from_index":2172,"to_index":2636,"sum":208543,"residue":193},{"from_index":2636,"to_index":316,"sum":210472,"residue":270}],"minimal_cycle":[193,733,656,733,193,270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":193,"start_interval_clock_positions":[316,780],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-317","shape":"Hexagon","alpha_indices":[317,781,1245,1709,2173,2637],"clock_positions":[317,781,1245,1709,2173,2637],"native_values":[47,879,510,879,47,416],"rotation_degrees":40.991379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,879,510,879,47,416],"beta":{"interval_sums":[221284,219955,217117,207454,208783,210695],"interval_residues":[896,493,433,30,433,493],"display_cycle":[896,493,433,30,433,493],"intervals":[{"from_index":317,"to_index":781,"sum":221284,"residue":896},{"from_index":781,"to_index":1245,"sum":219955,"residue":493},{"from_index":1245,"to_index":1709,"sum":217117,"residue":433},{"from_index":1709,"to_index":2173,"sum":207454,"residue":30},{"from_index":2173,"to_index":2637,"sum":208783,"residue":433},{"from_index":2637,"to_index":317,"sum":210695,"residue":493}],"minimal_cycle":[896,493,433,30,433,493],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":896,"start_interval_clock_positions":[317,781],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-318","shape":"Hexagon","alpha_indices":[318,782,1246,1710,2174,2638],"clock_positions":[318,782,1246,1710,2174,2638],"native_values":[686,703,223,240,223,703],"rotation_degrees":41.12068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[686,703,223,240,223,703],"beta":{"interval_sums":[221477,219762,217773,207261,208976,210039],"interval_residues":[163,300,163,763,626,763],"display_cycle":[163,300,163,763,626,763],"intervals":[{"from_index":318,"to_index":782,"sum":221477,"residue":163},{"from_index":782,"to_index":1246,"sum":219762,"residue":300},{"from_index":1246,"to_index":1710,"sum":217773,"residue":163},{"from_index":1710,"to_index":2174,"sum":207261,"residue":763},{"from_index":2174,"to_index":2638,"sum":208976,"residue":626},{"from_index":2638,"to_index":318,"sum":210039,"residue":763}],"minimal_cycle":[163,300,163,763,626,763],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":163,"start_interval_clock_positions":[318,782],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-319","shape":"Hexagon","alpha_indices":[319,783,1247,1711,2175,2639],"clock_positions":[319,783,1247,1711,2175,2639],"native_values":[733,656,733,193,270,193],"rotation_degrees":41.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[733,656,733,193,270,193],"beta":{"interval_sums":[221447,219329,217280,207291,209409,210532],"interval_residues":[133,793,596,793,133,330],"display_cycle":[133,793,596,793,133,330],"intervals":[{"from_index":319,"to_index":783,"sum":221447,"residue":133},{"from_index":783,"to_index":1247,"sum":219329,"residue":793},{"from_index":1247,"to_index":1711,"sum":217280,"residue":596},{"from_index":1711,"to_index":2175,"sum":207291,"residue":793},{"from_index":2175,"to_index":2639,"sum":209409,"residue":133},{"from_index":2639,"to_index":319,"sum":210532,"residue":330}],"minimal_cycle":[133,793,596,793,133,330],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":133,"start_interval_clock_positions":[319,783],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-320","shape":"Hexagon","alpha_indices":[320,784,1248,1712,2176,2640],"clock_positions":[320,784,1248,1712,2176,2640],"native_values":[493,433,30,433,493,896],"rotation_degrees":41.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[493,433,30,433,493,896],"beta":{"interval_sums":[221610,219629,217443,207128,209109,210369],"interval_residues":[296,167,759,630,759,167],"display_cycle":[296,167,759,630,759,167],"intervals":[{"from_index":320,"to_index":784,"sum":221610,"residue":296},{"from_index":784,"to_index":1248,"sum":219629,"residue":167},{"from_index":1248,"to_index":1712,"sum":217443,"residue":759},{"from_index":1712,"to_index":2176,"sum":207128,"residue":630},{"from_index":2176,"to_index":2640,"sum":209109,"residue":759},{"from_index":2640,"to_index":320,"sum":210369,"residue":167}],"minimal_cycle":[296,167,759,630,759,167],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[320,784],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-321","shape":"Hexagon","alpha_indices":[321,785,1249,1713,2177,2641],"clock_positions":[321,785,1249,1713,2177,2641],"native_values":[300,163,763,626,763,163],"rotation_degrees":41.508620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,163,763,626,763,163],"beta":{"interval_sums":[221743,219496,217113,206995,209242,210699],"interval_residues":[429,34,429,497,892,497],"display_cycle":[429,34,429,497,892,497],"intervals":[{"from_index":321,"to_index":785,"sum":221743,"residue":429},{"from_index":785,"to_index":1249,"sum":219496,"residue":34},{"from_index":1249,"to_index":1713,"sum":217113,"residue":429},{"from_index":1713,"to_index":2177,"sum":206995,"residue":497},{"from_index":2177,"to_index":2641,"sum":209242,"residue":892},{"from_index":2641,"to_index":321,"sum":210699,"residue":497}],"minimal_cycle":[429,34,429,497,892,497],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":429,"start_interval_clock_positions":[321,785],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-322","shape":"Hexagon","alpha_indices":[322,786,1250,1714,2178,2642],"clock_positions":[322,786,1250,1714,2178,2642],"native_values":[793,596,793,133,330,133],"rotation_degrees":41.63793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[793,596,793,133,330,133],"beta":{"interval_sums":[221113,219663,216946,207625,209075,210866],"interval_residues":[725,201,262,201,725,664],"display_cycle":[725,201,262,201,725,664],"intervals":[{"from_index":322,"to_index":786,"sum":221113,"residue":725},{"from_index":786,"to_index":1250,"sum":219663,"residue":201},{"from_index":1250,"to_index":1714,"sum":216946,"residue":262},{"from_index":1714,"to_index":2178,"sum":207625,"residue":201},{"from_index":2178,"to_index":2642,"sum":209075,"residue":725},{"from_index":2642,"to_index":322,"sum":210866,"residue":664}],"minimal_cycle":[725,201,262,201,725,664],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":725,"start_interval_clock_positions":[322,786],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-323","shape":"Hexagon","alpha_indices":[323,787,1251,1715,2179,2643],"clock_positions":[323,787,1251,1715,2179,2643],"native_values":[167,759,630,759,167,296],"rotation_degrees":41.76724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,759,630,759,167,296],"beta":{"interval_sums":[221542,219697,216449,207196,209041,211363],"interval_residues":[228,235,691,698,691,235],"display_cycle":[228,235,691,698,691,235],"intervals":[{"from_index":323,"to_index":787,"sum":221542,"residue":228},{"from_index":787,"to_index":1251,"sum":219697,"residue":235},{"from_index":1251,"to_index":1715,"sum":216449,"residue":691},{"from_index":1715,"to_index":2179,"sum":207196,"residue":698},{"from_index":2179,"to_index":2643,"sum":209041,"residue":691},{"from_index":2643,"to_index":323,"sum":211363,"residue":235}],"minimal_cycle":[228,235,691,698,691,235],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[323,787],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-324","shape":"Hexagon","alpha_indices":[324,788,1252,1716,2180,2644],"clock_positions":[324,788,1252,1716,2180,2644],"native_values":[34,429,497,892,497,429],"rotation_degrees":41.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,429,497,892,497,429],"beta":{"interval_sums":[222267,219898,216711,206471,208840,211101],"interval_residues":[27,436,27,899,490,899],"display_cycle":[27,436,27,899,490,899],"intervals":[{"from_index":324,"to_index":788,"sum":222267,"residue":27},{"from_index":788,"to_index":1252,"sum":219898,"residue":436},{"from_index":1252,"to_index":1716,"sum":216711,"residue":27},{"from_index":1716,"to_index":2180,"sum":206471,"residue":899},{"from_index":2180,"to_index":2644,"sum":208840,"residue":490},{"from_index":2644,"to_index":324,"sum":211101,"residue":899}],"minimal_cycle":[27,436,27,899,490,899],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":27,"start_interval_clock_positions":[324,788],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-325","shape":"Hexagon","alpha_indices":[325,789,1253,1717,2181,2645],"clock_positions":[325,789,1253,1717,2181,2645],"native_values":[201,262,201,725,664,725],"rotation_degrees":42.025862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[201,262,201,725,664,725],"beta":{"interval_sums":[222495,220133,217402,206243,208605,210410],"interval_residues":[255,671,718,671,255,208],"display_cycle":[255,671,718,671,255,208],"intervals":[{"from_index":325,"to_index":789,"sum":222495,"residue":255},{"from_index":789,"to_index":1253,"sum":220133,"residue":671},{"from_index":1253,"to_index":1717,"sum":217402,"residue":718},{"from_index":1717,"to_index":2181,"sum":206243,"residue":671},{"from_index":2181,"to_index":2645,"sum":208605,"residue":255},{"from_index":2645,"to_index":325,"sum":210410,"residue":208}],"minimal_cycle":[255,671,718,671,255,208],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":255,"start_interval_clock_positions":[325,789],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-326","shape":"Hexagon","alpha_indices":[326,790,1254,1718,2182,2646],"clock_positions":[326,790,1254,1718,2182,2646],"native_values":[235,691,698,691,235,228],"rotation_degrees":42.1551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,691,698,691,235,228],"beta":{"interval_sums":[222522,219643,217429,206216,209095,210383],"interval_residues":[282,181,745,644,745,181],"display_cycle":[282,181,745,644,745,181],"intervals":[{"from_index":326,"to_index":790,"sum":222522,"residue":282},{"from_index":790,"to_index":1254,"sum":219643,"residue":181},{"from_index":1254,"to_index":1718,"sum":217429,"residue":745},{"from_index":1718,"to_index":2182,"sum":206216,"residue":644},{"from_index":2182,"to_index":2646,"sum":209095,"residue":745},{"from_index":2646,"to_index":326,"sum":210383,"residue":181}],"minimal_cycle":[282,181,745,644,745,181],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":282,"start_interval_clock_positions":[326,790],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-327","shape":"Hexagon","alpha_indices":[327,791,1255,1719,2183,2647],"clock_positions":[327,791,1255,1719,2183,2647],"native_values":[436,27,899,490,899,27],"rotation_degrees":42.28448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[436,27,899,490,899,27],"beta":{"interval_sums":[222777,220314,217221,205961,208424,210591],"interval_residues":[537,852,537,389,74,389],"display_cycle":[537,852,537,389,74,389],"intervals":[{"from_index":327,"to_index":791,"sum":222777,"residue":537},{"from_index":791,"to_index":1255,"sum":220314,"residue":852},{"from_index":1255,"to_index":1719,"sum":217221,"residue":537},{"from_index":1719,"to_index":2183,"sum":205961,"residue":389},{"from_index":2183,"to_index":2647,"sum":208424,"residue":74},{"from_index":2647,"to_index":327,"sum":210591,"residue":389}],"minimal_cycle":[537,852,537,389,74,389],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":537,"start_interval_clock_positions":[327,791],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-328","shape":"Hexagon","alpha_indices":[328,792,1256,1720,2184,2648],"clock_positions":[328,792,1256,1720,2184,2648],"native_values":[671,718,671,255,208,255],"rotation_degrees":42.41379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,718,671,255,208,255],"beta":{"interval_sums":[222133,220495,217040,206605,208243,210772],"interval_residues":[819,107,356,107,819,570],"display_cycle":[819,107,356,107,819,570],"intervals":[{"from_index":328,"to_index":792,"sum":222133,"residue":819},{"from_index":792,"to_index":1256,"sum":220495,"residue":107},{"from_index":1256,"to_index":1720,"sum":217040,"residue":356},{"from_index":1720,"to_index":2184,"sum":206605,"residue":107},{"from_index":2184,"to_index":2648,"sum":208243,"residue":819},{"from_index":2648,"to_index":328,"sum":210772,"residue":570}],"minimal_cycle":[819,107,356,107,819,570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":819,"start_interval_clock_positions":[328,792],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-329","shape":"Hexagon","alpha_indices":[329,793,1257,1721,2185,2649],"clock_positions":[329,793,1257,1721,2185,2649],"native_values":[181,745,644,745,181,282],"rotation_degrees":42.543103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,745,644,745,181,282],"beta":{"interval_sums":[222670,220421,216651,206068,208317,211161],"interval_residues":[430,33,893,496,893,33],"display_cycle":[430,33,893,496,893,33],"intervals":[{"from_index":329,"to_index":793,"sum":222670,"residue":430},{"from_index":793,"to_index":1257,"sum":220421,"residue":33},{"from_index":1257,"to_index":1721,"sum":216651,"residue":893},{"from_index":1721,"to_index":2185,"sum":206068,"residue":496},{"from_index":2185,"to_index":2649,"sum":208317,"residue":893},{"from_index":2649,"to_index":329,"sum":211161,"residue":33}],"minimal_cycle":[430,33,893,496,893,33],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[329,793],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-330","shape":"Hexagon","alpha_indices":[330,794,1258,1722,2186,2650],"clock_positions":[330,794,1258,1722,2186,2650],"native_values":[852,537,389,74,389,537],"rotation_degrees":42.672413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[852,537,389,74,389,537],"beta":{"interval_sums":[222563,220528,217007,206175,208210,210805],"interval_residues":[323,140,323,603,786,603],"display_cycle":[323,140,323,603,786,603],"intervals":[{"from_index":330,"to_index":794,"sum":222563,"residue":323},{"from_index":794,"to_index":1258,"sum":220528,"residue":140},{"from_index":1258,"to_index":1722,"sum":217007,"residue":323},{"from_index":1722,"to_index":2186,"sum":206175,"residue":603},{"from_index":2186,"to_index":2650,"sum":208210,"residue":786},{"from_index":2650,"to_index":330,"sum":210805,"residue":603}],"minimal_cycle":[323,140,323,603,786,603],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":323,"start_interval_clock_positions":[330,794],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-331","shape":"Hexagon","alpha_indices":[331,795,1259,1723,2187,2651],"clock_positions":[331,795,1259,1723,2187,2651],"native_values":[107,356,107,819,570,819],"rotation_degrees":42.80172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[107,356,107,819,570,819],"beta":{"interval_sums":[222993,220561,216974,205745,208177,210838],"interval_residues":[753,173,290,173,753,636],"display_cycle":[753,173,290,173,753,636],"intervals":[{"from_index":331,"to_index":795,"sum":222993,"residue":753},{"from_index":795,"to_index":1259,"sum":220561,"residue":173},{"from_index":1259,"to_index":1723,"sum":216974,"residue":290},{"from_index":1723,"to_index":2187,"sum":205745,"residue":173},{"from_index":2187,"to_index":2651,"sum":208177,"residue":753},{"from_index":2651,"to_index":331,"sum":210838,"residue":636}],"minimal_cycle":[753,173,290,173,753,636],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":753,"start_interval_clock_positions":[331,795],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-332","shape":"Hexagon","alpha_indices":[332,796,1260,1724,2188,2652],"clock_positions":[332,796,1260,1724,2188,2652],"native_values":[33,893,496,893,33,430],"rotation_degrees":42.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[33,893,496,893,33,430],"beta":{"interval_sums":[223316,219775,217297,205422,208963,210515],"interval_residues":[150,313,613,776,613,313],"display_cycle":[150,313,613,776,613,313],"intervals":[{"from_index":332,"to_index":796,"sum":223316,"residue":150},{"from_index":796,"to_index":1260,"sum":219775,"residue":313},{"from_index":1260,"to_index":1724,"sum":217297,"residue":613},{"from_index":1724,"to_index":2188,"sum":205422,"residue":776},{"from_index":2188,"to_index":2652,"sum":208963,"residue":613},{"from_index":2652,"to_index":332,"sum":210515,"residue":313}],"minimal_cycle":[150,313,613,776,613,313],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[332,796],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-333","shape":"Hexagon","alpha_indices":[333,797,1261,1725,2189,2653],"clock_positions":[333,797,1261,1725,2189,2653],"native_values":[140,323,603,786,603,323],"rotation_degrees":43.060344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[140,323,603,786,603,323],"beta":{"interval_sums":[224069,219948,217587,204669,208790,210225],"interval_residues":[903,486,903,23,440,23],"display_cycle":[903,486,903,23,440,23],"intervals":[{"from_index":333,"to_index":797,"sum":224069,"residue":903},{"from_index":797,"to_index":1261,"sum":219948,"residue":486},{"from_index":1261,"to_index":1725,"sum":217587,"residue":903},{"from_index":1725,"to_index":2189,"sum":204669,"residue":23},{"from_index":2189,"to_index":2653,"sum":208790,"residue":440},{"from_index":2653,"to_index":333,"sum":210225,"residue":23}],"minimal_cycle":[903,486,903,23,440,23],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":903,"start_interval_clock_positions":[333,797],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-334","shape":"Hexagon","alpha_indices":[334,798,1262,1726,2190,2654],"clock_positions":[334,798,1262,1726,2190,2654],"native_values":[173,290,173,753,636,753],"rotation_degrees":43.189655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,290,173,753,636,753],"beta":{"interval_sums":[224219,220261,218200,204519,208477,209612],"interval_residues":[127,799,590,799,127,336],"display_cycle":[127,799,590,799,127,336],"intervals":[{"from_index":334,"to_index":798,"sum":224219,"residue":127},{"from_index":798,"to_index":1262,"sum":220261,"residue":799},{"from_index":1262,"to_index":1726,"sum":218200,"residue":590},{"from_index":1726,"to_index":2190,"sum":204519,"residue":799},{"from_index":2190,"to_index":2654,"sum":208477,"residue":127},{"from_index":2654,"to_index":334,"sum":209612,"residue":336}],"minimal_cycle":[127,799,590,799,127,336],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":127,"start_interval_clock_positions":[334,798],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-335","shape":"Hexagon","alpha_indices":[335,799,1263,1727,2191,2655],"clock_positions":[335,799,1263,1727,2191,2655],"native_values":[313,613,776,613,313,150],"rotation_degrees":43.31896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,613,776,613,313,150],"beta":{"interval_sums":[224196,219821,218177,204542,208917,209635],"interval_residues":[104,359,567,822,567,359],"display_cycle":[104,359,567,822,567,359],"intervals":[{"from_index":335,"to_index":799,"sum":224196,"residue":104},{"from_index":799,"to_index":1263,"sum":219821,"residue":359},{"from_index":1263,"to_index":1727,"sum":218177,"residue":567},{"from_index":1727,"to_index":2191,"sum":204542,"residue":822},{"from_index":2191,"to_index":2655,"sum":208917,"residue":567},{"from_index":2655,"to_index":335,"sum":209635,"residue":359}],"minimal_cycle":[104,359,567,822,567,359],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":104,"start_interval_clock_positions":[335,799],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-336","shape":"Hexagon","alpha_indices":[336,800,1264,1728,2192,2656],"clock_positions":[336,800,1264,1728,2192,2656],"native_values":[486,903,23,440,23,903],"rotation_degrees":43.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[486,903,23,440,23,903],"beta":{"interval_sums":[224323,219694,218767,204415,209044,209045],"interval_residues":[231,232,231,695,694,695],"display_cycle":[231,232,231,695,694,695],"intervals":[{"from_index":336,"to_index":800,"sum":224323,"residue":231},{"from_index":800,"to_index":1264,"sum":219694,"residue":232},{"from_index":1264,"to_index":1728,"sum":218767,"residue":231},{"from_index":1728,"to_index":2192,"sum":204415,"residue":695},{"from_index":2192,"to_index":2656,"sum":209044,"residue":694},{"from_index":2656,"to_index":336,"sum":209045,"residue":695}],"minimal_cycle":[231,232,231,695,694,695],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":231,"start_interval_clock_positions":[336,800],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-337","shape":"Hexagon","alpha_indices":[337,801,1265,1729,2193,2657],"clock_positions":[337,801,1265,1729,2193,2657],"native_values":[799,590,799,127,336,127],"rotation_degrees":43.577586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[799,590,799,127,336,127],"beta":{"interval_sums":[224427,219127,218408,204311,209611,209404],"interval_residues":[335,591,798,591,335,128],"display_cycle":[335,591,798,591,335,128],"intervals":[{"from_index":337,"to_index":801,"sum":224427,"residue":335},{"from_index":801,"to_index":1265,"sum":219127,"residue":591},{"from_index":1265,"to_index":1729,"sum":218408,"residue":798},{"from_index":1729,"to_index":2193,"sum":204311,"residue":591},{"from_index":2193,"to_index":2657,"sum":209611,"residue":335},{"from_index":2657,"to_index":337,"sum":209404,"residue":128}],"minimal_cycle":[335,591,798,591,335,128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":335,"start_interval_clock_positions":[337,801],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-338","shape":"Hexagon","alpha_indices":[338,802,1266,1730,2194,2658],"clock_positions":[338,802,1266,1730,2194,2658],"native_values":[359,567,822,567,359,104],"rotation_degrees":43.706896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,567,822,567,359,104],"beta":{"interval_sums":[224658,219359,217713,204080,209379,210099],"interval_residues":[566,823,103,360,103,823],"display_cycle":[566,823,103,360,103,823],"intervals":[{"from_index":338,"to_index":802,"sum":224658,"residue":566},{"from_index":802,"to_index":1266,"sum":219359,"residue":823},{"from_index":1266,"to_index":1730,"sum":217713,"residue":103},{"from_index":1730,"to_index":2194,"sum":204080,"residue":360},{"from_index":2194,"to_index":2658,"sum":209379,"residue":103},{"from_index":2658,"to_index":338,"sum":210099,"residue":823}],"minimal_cycle":[566,823,103,360,103,823],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":566,"start_interval_clock_positions":[338,802],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-339","shape":"Hexagon","alpha_indices":[339,803,1267,1731,2195,2659],"clock_positions":[339,803,1267,1731,2195,2659],"native_values":[232,231,695,694,695,231],"rotation_degrees":43.83620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[232,231,695,694,695,231],"beta":{"interval_sums":[224993,219950,217585,203745,208788,210227],"interval_residues":[901,488,901,25,438,25],"display_cycle":[901,488,901,25,438,25],"intervals":[{"from_index":339,"to_index":803,"sum":224993,"residue":901},{"from_index":803,"to_index":1267,"sum":219950,"residue":488},{"from_index":1267,"to_index":1731,"sum":217585,"residue":901},{"from_index":1731,"to_index":2195,"sum":203745,"residue":25},{"from_index":2195,"to_index":2659,"sum":208788,"residue":438},{"from_index":2659,"to_index":339,"sum":210227,"residue":25}],"minimal_cycle":[901,488,901,25,438,25],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":901,"start_interval_clock_positions":[339,803],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-340","shape":"Hexagon","alpha_indices":[340,804,1268,1732,2196,2660],"clock_positions":[340,804,1268,1732,2196,2660],"native_values":[591,798,591,335,128,335],"rotation_degrees":43.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[591,798,591,335,128,335],"beta":{"interval_sums":[224633,219847,217688,204105,208891,210124],"interval_residues":[541,385,78,385,541,848],"display_cycle":[541,385,78,385,541,848],"intervals":[{"from_index":340,"to_index":804,"sum":224633,"residue":541},{"from_index":804,"to_index":1268,"sum":219847,"residue":385},{"from_index":1268,"to_index":1732,"sum":217688,"residue":78},{"from_index":1732,"to_index":2196,"sum":204105,"residue":385},{"from_index":2196,"to_index":2660,"sum":208891,"residue":541},{"from_index":2660,"to_index":340,"sum":210124,"residue":848}],"minimal_cycle":[541,385,78,385,541,848],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":541,"start_interval_clock_positions":[340,804],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-341","shape":"Hexagon","alpha_indices":[341,805,1269,1733,2197,2661],"clock_positions":[341,805,1269,1733,2197,2661],"native_values":[823,103,360,103,823,566],"rotation_degrees":44.0948275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[823,103,360,103,823,566],"beta":{"interval_sums":[224608,220335,217663,204130,208403,210149],"interval_residues":[516,873,53,410,53,873],"display_cycle":[516,873,53,410,53,873],"intervals":[{"from_index":341,"to_index":805,"sum":224608,"residue":516},{"from_index":805,"to_index":1269,"sum":220335,"residue":873},{"from_index":1269,"to_index":1733,"sum":217663,"residue":53},{"from_index":1733,"to_index":2197,"sum":204130,"residue":410},{"from_index":2197,"to_index":2661,"sum":208403,"residue":53},{"from_index":2661,"to_index":341,"sum":210149,"residue":873}],"minimal_cycle":[516,873,53,410,53,873],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":516,"start_interval_clock_positions":[341,805],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-342","shape":"Hexagon","alpha_indices":[342,806,1270,1734,2198,2662],"clock_positions":[342,806,1270,1734,2198,2662],"native_values":[488,901,25,438,25,901],"rotation_degrees":44.224137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[488,901,25,438,25,901],"beta":{"interval_sums":[224223,219794,217741,204515,208944,210071],"interval_residues":[131,332,131,795,594,795],"display_cycle":[131,332,131,795,594,795],"intervals":[{"from_index":342,"to_index":806,"sum":224223,"residue":131},{"from_index":806,"to_index":1270,"sum":219794,"residue":332},{"from_index":1270,"to_index":1734,"sum":217741,"residue":131},{"from_index":1734,"to_index":2198,"sum":204515,"residue":795},{"from_index":2198,"to_index":2662,"sum":208944,"residue":594},{"from_index":2662,"to_index":342,"sum":210071,"residue":795}],"minimal_cycle":[131,332,131,795,594,795],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":131,"start_interval_clock_positions":[342,806],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-343","shape":"Hexagon","alpha_indices":[343,807,1271,1735,2199,2663],"clock_positions":[343,807,1271,1735,2199,2663],"native_values":[385,78,385,541,848,541],"rotation_degrees":44.35344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[385,78,385,541,848,541],"beta":{"interval_sums":[224739,219741,217794,203999,208997,210018],"interval_residues":[647,279,184,279,647,742],"display_cycle":[647,279,184,279,647,742],"intervals":[{"from_index":343,"to_index":807,"sum":224739,"residue":647},{"from_index":807,"to_index":1271,"sum":219741,"residue":279},{"from_index":1271,"to_index":1735,"sum":217794,"residue":184},{"from_index":1735,"to_index":2199,"sum":203999,"residue":279},{"from_index":2199,"to_index":2663,"sum":208997,"residue":647},{"from_index":2663,"to_index":343,"sum":210018,"residue":742}],"minimal_cycle":[647,279,184,279,647,742],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":647,"start_interval_clock_positions":[343,807],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-344","shape":"Hexagon","alpha_indices":[344,808,1272,1736,2200,2664],"clock_positions":[344,808,1272,1736,2200,2664],"native_values":[873,53,410,53,873,516],"rotation_degrees":44.48275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[873,53,410,53,873,516],"beta":{"interval_sums":[223944,220073,217925,204794,208665,209887],"interval_residues":[778,611,315,148,315,611],"display_cycle":[778,611,315,148,315,611],"intervals":[{"from_index":344,"to_index":808,"sum":223944,"residue":778},{"from_index":808,"to_index":1272,"sum":220073,"residue":611},{"from_index":1272,"to_index":1736,"sum":217925,"residue":315},{"from_index":1736,"to_index":2200,"sum":204794,"residue":148},{"from_index":2200,"to_index":2664,"sum":208665,"residue":315},{"from_index":2664,"to_index":344,"sum":209887,"residue":611}],"minimal_cycle":[778,611,315,148,315,611],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":778,"start_interval_clock_positions":[344,808],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-345","shape":"Hexagon","alpha_indices":[345,809,1273,1737,2201,2665],"clock_positions":[345,809,1273,1737,2201,2665],"native_values":[332,131,795,594,795,131],"rotation_degrees":44.61206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[332,131,795,594,795,131],"beta":{"interval_sums":[223665,220352,217183,205073,208386,210629],"interval_residues":[499,890,499,427,36,427],"display_cycle":[499,890,499,427,36,427],"intervals":[{"from_index":345,"to_index":809,"sum":223665,"residue":499},{"from_index":809,"to_index":1273,"sum":220352,"residue":890},{"from_index":1273,"to_index":1737,"sum":217183,"residue":499},{"from_index":1737,"to_index":2201,"sum":205073,"residue":427},{"from_index":2201,"to_index":2665,"sum":208386,"residue":36},{"from_index":2665,"to_index":345,"sum":210629,"residue":427}],"minimal_cycle":[499,890,499,427,36,427],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":499,"start_interval_clock_positions":[345,809],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-346","shape":"Hexagon","alpha_indices":[346,810,1274,1738,2202,2666],"clock_positions":[346,810,1274,1738,2202,2666],"native_values":[279,184,279,647,742,647],"rotation_degrees":44.741379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,184,279,647,742,647],"beta":{"interval_sums":[223517,220963,217498,205221,207775,210314],"interval_residues":[351,575,814,575,351,112],"display_cycle":[351,575,814,575,351,112],"intervals":[{"from_index":346,"to_index":810,"sum":223517,"residue":351},{"from_index":810,"to_index":1274,"sum":220963,"residue":575},{"from_index":1274,"to_index":1738,"sum":217498,"residue":814},{"from_index":1738,"to_index":2202,"sum":205221,"residue":575},{"from_index":2202,"to_index":2666,"sum":207775,"residue":351},{"from_index":2666,"to_index":346,"sum":210314,"residue":112}],"minimal_cycle":[351,575,814,575,351,112],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":351,"start_interval_clock_positions":[346,810],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-347","shape":"Hexagon","alpha_indices":[347,811,1275,1739,2203,2667],"clock_positions":[347,811,1275,1739,2203,2667],"native_values":[611,315,148,315,611,778],"rotation_degrees":44.87068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[611,315,148,315,611,778],"beta":{"interval_sums":[223090,220927,217997,205648,207811,209815],"interval_residues":[850,539,387,76,387,539],"display_cycle":[850,539,387,76,387,539],"intervals":[{"from_index":347,"to_index":811,"sum":223090,"residue":850},{"from_index":811,"to_index":1275,"sum":220927,"residue":539},{"from_index":1275,"to_index":1739,"sum":217997,"residue":387},{"from_index":1739,"to_index":2203,"sum":205648,"residue":76},{"from_index":2203,"to_index":2667,"sum":207811,"residue":387},{"from_index":2667,"to_index":347,"sum":209815,"residue":539}],"minimal_cycle":[850,539,387,76,387,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":850,"start_interval_clock_positions":[347,811],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-348","shape":"Hexagon","alpha_indices":[348,812,1276,1740,2204,2668],"clock_positions":[348,812,1276,1740,2204,2668],"native_values":[890,499,427,36,427,499],"rotation_degrees":45.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[890,499,427,36,427,499],"beta":{"interval_sums":[222515,220576,217885,206223,208162,209927],"interval_residues":[275,188,275,651,738,651],"display_cycle":[275,188,275,651,738,651],"intervals":[{"from_index":348,"to_index":812,"sum":222515,"residue":275},{"from_index":812,"to_index":1276,"sum":220576,"residue":188},{"from_index":1276,"to_index":1740,"sum":217885,"residue":275},{"from_index":1740,"to_index":2204,"sum":206223,"residue":651},{"from_index":2204,"to_index":2668,"sum":208162,"residue":738},{"from_index":2668,"to_index":348,"sum":209927,"residue":651}],"minimal_cycle":[275,188,275,651,738,651],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":275,"start_interval_clock_positions":[348,812],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-349","shape":"Hexagon","alpha_indices":[349,813,1277,1741,2205,2669],"clock_positions":[349,813,1277,1741,2205,2669],"native_values":[575,814,575,351,112,351],"rotation_degrees":45.12931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[575,814,575,351,112,351],"beta":{"interval_sums":[222439,220189,217346,206299,208549,210466],"interval_residues":[199,727,662,727,199,264],"display_cycle":[199,727,662,727,199,264],"intervals":[{"from_index":349,"to_index":813,"sum":222439,"residue":199},{"from_index":813,"to_index":1277,"sum":220189,"residue":727},{"from_index":1277,"to_index":1741,"sum":217346,"residue":662},{"from_index":1741,"to_index":2205,"sum":206299,"residue":727},{"from_index":2205,"to_index":2669,"sum":208549,"residue":199},{"from_index":2669,"to_index":349,"sum":210466,"residue":264}],"minimal_cycle":[199,727,662,727,199,264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":199,"start_interval_clock_positions":[349,813],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-350","shape":"Hexagon","alpha_indices":[350,814,1278,1742,2206,2670],"clock_positions":[350,814,1278,1742,2206,2670],"native_values":[539,387,76,387,539,850],"rotation_degrees":45.258620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[539,387,76,387,539,850],"beta":{"interval_sums":[222714,220377,217621,206024,208361,210191],"interval_residues":[474,915,11,452,11,915],"display_cycle":[474,915,11,452,11,915],"intervals":[{"from_index":350,"to_index":814,"sum":222714,"residue":474},{"from_index":814,"to_index":1278,"sum":220377,"residue":915},{"from_index":1278,"to_index":1742,"sum":217621,"residue":11},{"from_index":1742,"to_index":2206,"sum":206024,"residue":452},{"from_index":2206,"to_index":2670,"sum":208361,"residue":11},{"from_index":2670,"to_index":350,"sum":210191,"residue":915}],"minimal_cycle":[474,915,11,452,11,915],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[350,814],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-351","shape":"Hexagon","alpha_indices":[351,815,1279,1743,2207,2671],"clock_positions":[351,815,1279,1743,2207,2671],"native_values":[188,275,651,738,651,275],"rotation_degrees":45.38793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[188,275,651,738,651,275],"beta":{"interval_sums":[222913,220178,217357,205825,208560,210455],"interval_residues":[673,716,673,253,210,253],"display_cycle":[673,716,673,253,210,253],"intervals":[{"from_index":351,"to_index":815,"sum":222913,"residue":673},{"from_index":815,"to_index":1279,"sum":220178,"residue":716},{"from_index":1279,"to_index":1743,"sum":217357,"residue":673},{"from_index":1743,"to_index":2207,"sum":205825,"residue":253},{"from_index":2207,"to_index":2671,"sum":208560,"residue":210},{"from_index":2671,"to_index":351,"sum":210455,"residue":253}],"minimal_cycle":[673,716,673,253,210,253],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":673,"start_interval_clock_positions":[351,815],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-352","shape":"Hexagon","alpha_indices":[352,816,1280,1744,2208,2672],"clock_positions":[352,816,1280,1744,2208,2672],"native_values":[727,662,727,199,264,199],"rotation_degrees":45.51724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[727,662,727,199,264,199],"beta":{"interval_sums":[222461,220167,217368,206277,208571,210444],"interval_residues":[221,705,684,705,221,242],"display_cycle":[221,705,684,705,221,242],"intervals":[{"from_index":352,"to_index":816,"sum":222461,"residue":221},{"from_index":816,"to_index":1280,"sum":220167,"residue":705},{"from_index":1280,"to_index":1744,"sum":217368,"residue":684},{"from_index":1744,"to_index":2208,"sum":206277,"residue":705},{"from_index":2208,"to_index":2672,"sum":208571,"residue":221},{"from_index":2672,"to_index":352,"sum":210444,"residue":242}],"minimal_cycle":[221,705,684,705,221,242],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":221,"start_interval_clock_positions":[352,816],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-353","shape":"Hexagon","alpha_indices":[353,817,1281,1745,2209,2673],"clock_positions":[353,817,1281,1745,2209,2673],"native_values":[915,11,452,11,915,474],"rotation_degrees":45.64655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[915,11,452,11,915,474],"beta":{"interval_sums":[222208,220883,217115,206530,207855,210697],"interval_residues":[894,495,431,32,431,495],"display_cycle":[894,495,431,32,431,495],"intervals":[{"from_index":353,"to_index":817,"sum":222208,"residue":894},{"from_index":817,"to_index":1281,"sum":220883,"residue":495},{"from_index":1281,"to_index":1745,"sum":217115,"residue":431},{"from_index":1745,"to_index":2209,"sum":206530,"residue":32},{"from_index":2209,"to_index":2673,"sum":207855,"residue":431},{"from_index":2673,"to_index":353,"sum":210697,"residue":495}],"minimal_cycle":[894,495,431,32,431,495],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":894,"start_interval_clock_positions":[353,817],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-354","shape":"Hexagon","alpha_indices":[354,818,1282,1746,2210,2674],"clock_positions":[354,818,1282,1746,2210,2674],"native_values":[716,673,253,210,253,673],"rotation_degrees":45.775862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[716,673,253,210,253,673],"beta":{"interval_sums":[221503,220662,216873,207235,208076,210939],"interval_residues":[189,274,189,737,652,737],"display_cycle":[189,274,189,737,652,737],"intervals":[{"from_index":354,"to_index":818,"sum":221503,"residue":189},{"from_index":818,"to_index":1282,"sum":220662,"residue":274},{"from_index":1282,"to_index":1746,"sum":216873,"residue":189},{"from_index":1746,"to_index":2210,"sum":207235,"residue":737},{"from_index":2210,"to_index":2674,"sum":208076,"residue":652},{"from_index":2674,"to_index":354,"sum":210939,"residue":737}],"minimal_cycle":[189,274,189,737,652,737],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":189,"start_interval_clock_positions":[354,818],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-355","shape":"Hexagon","alpha_indices":[355,819,1283,1747,2211,2675],"clock_positions":[355,819,1283,1747,2211,2675],"native_values":[705,684,705,221,242,221],"rotation_degrees":45.9051724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,684,705,221,242,221],"beta":{"interval_sums":[221471,220231,216378,207267,208507,211434],"interval_residues":[157,769,620,769,157,306],"display_cycle":[157,769,620,769,157,306],"intervals":[{"from_index":355,"to_index":819,"sum":221471,"residue":157},{"from_index":819,"to_index":1283,"sum":220231,"residue":769},{"from_index":1283,"to_index":1747,"sum":216378,"residue":620},{"from_index":1747,"to_index":2211,"sum":207267,"residue":769},{"from_index":2211,"to_index":2675,"sum":208507,"residue":157},{"from_index":2675,"to_index":355,"sum":211434,"residue":306}],"minimal_cycle":[157,769,620,769,157,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":157,"start_interval_clock_positions":[355,819],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-356","shape":"Hexagon","alpha_indices":[356,820,1284,1748,2212,2676],"clock_positions":[356,820,1284,1748,2212,2676],"native_values":[495,431,32,431,495,894],"rotation_degrees":46.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[495,431,32,431,495,894],"beta":{"interval_sums":[221660,220505,216567,207078,208233,211245],"interval_residues":[346,117,809,580,809,117],"display_cycle":[346,117,809,580,809,117],"intervals":[{"from_index":356,"to_index":820,"sum":221660,"residue":346},{"from_index":820,"to_index":1284,"sum":220505,"residue":117},{"from_index":1284,"to_index":1748,"sum":216567,"residue":809},{"from_index":1748,"to_index":2212,"sum":207078,"residue":580},{"from_index":2212,"to_index":2676,"sum":208233,"residue":809},{"from_index":2676,"to_index":356,"sum":211245,"residue":117}],"minimal_cycle":[346,117,809,580,809,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[356,820],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-357","shape":"Hexagon","alpha_indices":[357,821,1285,1749,2213,2677],"clock_positions":[357,821,1285,1749,2213,2677],"native_values":[274,189,737,652,737,189],"rotation_degrees":46.16379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[274,189,737,652,737,189],"beta":{"interval_sums":[221817,220348,216261,206921,208390,211551],"interval_residues":[503,886,503,423,40,423],"display_cycle":[503,886,503,423,40,423],"intervals":[{"from_index":357,"to_index":821,"sum":221817,"residue":503},{"from_index":821,"to_index":1285,"sum":220348,"residue":886},{"from_index":1285,"to_index":1749,"sum":216261,"residue":503},{"from_index":1749,"to_index":2213,"sum":206921,"residue":423},{"from_index":2213,"to_index":2677,"sum":208390,"residue":40},{"from_index":2677,"to_index":357,"sum":211551,"residue":423}],"minimal_cycle":[503,886,503,423,40,423],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":503,"start_interval_clock_positions":[357,821],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-358","shape":"Hexagon","alpha_indices":[358,822,1286,1750,2214,2678],"clock_positions":[358,822,1286,1750,2214,2678],"native_values":[769,620,769,157,306,157],"rotation_degrees":46.293103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[769,620,769,157,306,157],"beta":{"interval_sums":[221237,220465,216144,207501,208273,211668],"interval_residues":[849,77,386,77,849,540],"display_cycle":[849,77,386,77,849,540],"intervals":[{"from_index":358,"to_index":822,"sum":221237,"residue":849},{"from_index":822,"to_index":1286,"sum":220465,"residue":77},{"from_index":1286,"to_index":1750,"sum":216144,"residue":386},{"from_index":1750,"to_index":2214,"sum":207501,"residue":77},{"from_index":2214,"to_index":2678,"sum":208273,"residue":849},{"from_index":2678,"to_index":358,"sum":211668,"residue":540}],"minimal_cycle":[849,77,386,77,849,540],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":849,"start_interval_clock_positions":[358,822],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-359","shape":"Hexagon","alpha_indices":[359,823,1287,1751,2215,2679],"clock_positions":[359,823,1287,1751,2215,2679],"native_values":[117,809,580,809,117,346],"rotation_degrees":46.422413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,809,580,809,117,346],"beta":{"interval_sums":[221740,220425,215721,206998,208313,212091],"interval_residues":[426,37,889,500,889,37],"display_cycle":[426,37,889,500,889,37],"intervals":[{"from_index":359,"to_index":823,"sum":221740,"residue":426},{"from_index":823,"to_index":1287,"sum":220425,"residue":37},{"from_index":1287,"to_index":1751,"sum":215721,"residue":889},{"from_index":1751,"to_index":2215,"sum":206998,"residue":500},{"from_index":2215,"to_index":2679,"sum":208313,"residue":889},{"from_index":2679,"to_index":359,"sum":212091,"residue":37}],"minimal_cycle":[426,37,889,500,889,37],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":426,"start_interval_clock_positions":[359,823],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-360","shape":"Hexagon","alpha_indices":[360,824,1288,1752,2216,2680],"clock_positions":[360,824,1288,1752,2216,2680],"native_values":[886,503,423,40,423,503],"rotation_degrees":46.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[886,503,423,40,423,503],"beta":{"interval_sums":[221663,220502,216107,207075,208236,211705],"interval_residues":[349,114,349,577,812,577],"display_cycle":[349,114,349,577,812,577],"intervals":[{"from_index":360,"to_index":824,"sum":221663,"residue":349},{"from_index":824,"to_index":1288,"sum":220502,"residue":114},{"from_index":1288,"to_index":1752,"sum":216107,"residue":349},{"from_index":1752,"to_index":2216,"sum":207075,"residue":577},{"from_index":2216,"to_index":2680,"sum":208236,"residue":812},{"from_index":2680,"to_index":360,"sum":211705,"residue":577}],"minimal_cycle":[349,114,349,577,812,577],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":349,"start_interval_clock_positions":[360,824],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-361","shape":"Hexagon","alpha_indices":[361,825,1289,1753,2217,2681],"clock_positions":[361,825,1289,1753,2217,2681],"native_values":[77,386,77,849,540,849],"rotation_degrees":46.68103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,386,77,849,540,849],"beta":{"interval_sums":[222089,220539,216070,206649,208199,211742],"interval_residues":[775,151,312,151,775,614],"display_cycle":[775,151,312,151,775,614],"intervals":[{"from_index":361,"to_index":825,"sum":222089,"residue":775},{"from_index":825,"to_index":1289,"sum":220539,"residue":151},{"from_index":1289,"to_index":1753,"sum":216070,"residue":312},{"from_index":1753,"to_index":2217,"sum":206649,"residue":151},{"from_index":2217,"to_index":2681,"sum":208199,"residue":775},{"from_index":2681,"to_index":361,"sum":211742,"residue":614}],"minimal_cycle":[775,151,312,151,775,614],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":775,"start_interval_clock_positions":[361,825],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-362","shape":"Hexagon","alpha_indices":[362,826,1290,1754,2218,2682],"clock_positions":[362,826,1290,1754,2218,2682],"native_values":[37,889,500,889,37,426],"rotation_degrees":46.810344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[37,889,500,889,37,426],"beta":{"interval_sums":[222438,219727,216419,206300,209011,211393],"interval_residues":[198,265,661,728,661,265],"display_cycle":[198,265,661,728,661,265],"intervals":[{"from_index":362,"to_index":826,"sum":222438,"residue":198},{"from_index":826,"to_index":1290,"sum":219727,"residue":265},{"from_index":1290,"to_index":1754,"sum":216419,"residue":661},{"from_index":1754,"to_index":2218,"sum":206300,"residue":728},{"from_index":2218,"to_index":2682,"sum":209011,"residue":661},{"from_index":2682,"to_index":362,"sum":211393,"residue":265}],"minimal_cycle":[198,265,661,728,661,265],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[362,826],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-363","shape":"Hexagon","alpha_indices":[363,827,1291,1755,2219,2683],"clock_positions":[363,827,1291,1755,2219,2683],"native_values":[114,349,577,812,577,349],"rotation_degrees":46.939655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[114,349,577,812,577,349],"beta":{"interval_sums":[223213,219878,216731,205525,208860,211081],"interval_residues":[47,416,47,879,510,879],"display_cycle":[47,416,47,879,510,879],"intervals":[{"from_index":363,"to_index":827,"sum":223213,"residue":47},{"from_index":827,"to_index":1291,"sum":219878,"residue":416},{"from_index":1291,"to_index":1755,"sum":216731,"residue":47},{"from_index":1755,"to_index":2219,"sum":205525,"residue":879},{"from_index":2219,"to_index":2683,"sum":208860,"residue":510},{"from_index":2683,"to_index":363,"sum":211081,"residue":879}],"minimal_cycle":[47,416,47,879,510,879],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":47,"start_interval_clock_positions":[363,827],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-364","shape":"Hexagon","alpha_indices":[364,828,1292,1756,2220,2684],"clock_positions":[364,828,1292,1756,2220,2684],"native_values":[151,312,151,775,614,775],"rotation_degrees":47.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,312,151,775,614,775],"beta":{"interval_sums":[223411,220143,217392,205327,208595,210420],"interval_residues":[245,681,708,681,245,218],"display_cycle":[245,681,708,681,245,218],"intervals":[{"from_index":364,"to_index":828,"sum":223411,"residue":245},{"from_index":828,"to_index":1292,"sum":220143,"residue":681},{"from_index":1292,"to_index":1756,"sum":217392,"residue":708},{"from_index":1756,"to_index":2220,"sum":205327,"residue":681},{"from_index":2220,"to_index":2684,"sum":208595,"residue":245},{"from_index":2684,"to_index":364,"sum":210420,"residue":218}],"minimal_cycle":[245,681,708,681,245,218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":245,"start_interval_clock_positions":[364,828],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-365","shape":"Hexagon","alpha_indices":[365,829,1293,1757,2221,2685],"clock_positions":[365,829,1293,1757,2221,2685],"native_values":[265,661,728,661,265,198],"rotation_degrees":47.19827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,661,728,661,265,198],"beta":{"interval_sums":[223458,219633,217439,205280,209105,210373],"interval_residues":[292,171,755,634,755,171],"display_cycle":[292,171,755,634,755,171],"intervals":[{"from_index":365,"to_index":829,"sum":223458,"residue":292},{"from_index":829,"to_index":1293,"sum":219633,"residue":171},{"from_index":1293,"to_index":1757,"sum":217439,"residue":755},{"from_index":1757,"to_index":2221,"sum":205280,"residue":634},{"from_index":2221,"to_index":2685,"sum":209105,"residue":755},{"from_index":2685,"to_index":365,"sum":210373,"residue":171}],"minimal_cycle":[292,171,755,634,755,171],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[365,829],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-366","shape":"Hexagon","alpha_indices":[366,830,1294,1758,2222,2686],"clock_positions":[366,830,1294,1758,2222,2686],"native_values":[416,47,879,510,879,47],"rotation_degrees":47.327586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[416,47,879,510,879,47],"beta":{"interval_sums":[223703,220314,217221,205035,208424,210591],"interval_residues":[537,852,537,389,74,389],"display_cycle":[537,852,537,389,74,389],"intervals":[{"from_index":366,"to_index":830,"sum":223703,"residue":537},{"from_index":830,"to_index":1294,"sum":220314,"residue":852},{"from_index":1294,"to_index":1758,"sum":217221,"residue":537},{"from_index":1758,"to_index":2222,"sum":205035,"residue":389},{"from_index":2222,"to_index":2686,"sum":208424,"residue":74},{"from_index":2686,"to_index":366,"sum":210591,"residue":389}],"minimal_cycle":[537,852,537,389,74,389],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":537,"start_interval_clock_positions":[366,830],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-367","shape":"Hexagon","alpha_indices":[367,831,1295,1759,2223,2687],"clock_positions":[367,831,1295,1759,2223,2687],"native_values":[681,708,681,245,218,245],"rotation_degrees":47.456896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[681,708,681,245,218,245],"beta":{"interval_sums":[223069,220485,217050,205669,208253,210762],"interval_residues":[829,97,366,97,829,560],"display_cycle":[829,97,366,97,829,560],"intervals":[{"from_index":367,"to_index":831,"sum":223069,"residue":829},{"from_index":831,"to_index":1295,"sum":220485,"residue":97},{"from_index":1295,"to_index":1759,"sum":217050,"residue":366},{"from_index":1759,"to_index":2223,"sum":205669,"residue":97},{"from_index":2223,"to_index":2687,"sum":208253,"residue":829},{"from_index":2687,"to_index":367,"sum":210762,"residue":560}],"minimal_cycle":[829,97,366,97,829,560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":829,"start_interval_clock_positions":[367,831],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-368","shape":"Hexagon","alpha_indices":[368,832,1296,1760,2224,2688],"clock_positions":[368,832,1296,1760,2224,2688],"native_values":[171,755,634,755,171,292],"rotation_degrees":47.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,755,634,755,171,292],"beta":{"interval_sums":[223606,220411,216661,205132,208327,211151],"interval_residues":[440,23,903,486,903,23],"display_cycle":[440,23,903,486,903,23],"intervals":[{"from_index":368,"to_index":832,"sum":223606,"residue":440},{"from_index":832,"to_index":1296,"sum":220411,"residue":23},{"from_index":1296,"to_index":1760,"sum":216661,"residue":903},{"from_index":1760,"to_index":2224,"sum":205132,"residue":486},{"from_index":2224,"to_index":2688,"sum":208327,"residue":903},{"from_index":2688,"to_index":368,"sum":211151,"residue":23}],"minimal_cycle":[440,23,903,486,903,23],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[368,832],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-369","shape":"Hexagon","alpha_indices":[369,833,1297,1761,2225,2689],"clock_positions":[369,833,1297,1761,2225,2689],"native_values":[852,537,389,74,389,537],"rotation_degrees":47.71551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[852,537,389,74,389,537],"beta":{"interval_sums":[223509,220508,217027,205229,208230,210785],"interval_residues":[343,120,343,583,806,583],"display_cycle":[343,120,343,583,806,583],"intervals":[{"from_index":369,"to_index":833,"sum":223509,"residue":343},{"from_index":833,"to_index":1297,"sum":220508,"residue":120},{"from_index":1297,"to_index":1761,"sum":217027,"residue":343},{"from_index":1761,"to_index":2225,"sum":205229,"residue":583},{"from_index":2225,"to_index":2689,"sum":208230,"residue":806},{"from_index":2689,"to_index":369,"sum":210785,"residue":583}],"minimal_cycle":[343,120,343,583,806,583],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":343,"start_interval_clock_positions":[369,833],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-370","shape":"Hexagon","alpha_indices":[370,834,1298,1762,2226,2690],"clock_positions":[370,834,1298,1762,2226,2690],"native_values":[97,366,97,829,560,829],"rotation_degrees":47.8448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[97,366,97,829,560,829],"beta":{"interval_sums":[223949,220531,217004,204789,208207,210808],"interval_residues":[783,143,320,143,783,606],"display_cycle":[783,143,320,143,783,606],"intervals":[{"from_index":370,"to_index":834,"sum":223949,"residue":783},{"from_index":834,"to_index":1298,"sum":220531,"residue":143},{"from_index":1298,"to_index":1762,"sum":217004,"residue":320},{"from_index":1762,"to_index":2226,"sum":204789,"residue":143},{"from_index":2226,"to_index":2690,"sum":208207,"residue":783},{"from_index":2690,"to_index":370,"sum":210808,"residue":606}],"minimal_cycle":[783,143,320,143,783,606],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":783,"start_interval_clock_positions":[370,834],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-371","shape":"Hexagon","alpha_indices":[371,835,1299,1763,2227,2691],"clock_positions":[371,835,1299,1763,2227,2691],"native_values":[23,903,486,903,23,440],"rotation_degrees":47.974137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[23,903,486,903,23,440],"beta":{"interval_sums":[224292,219725,217347,204446,209013,210465],"interval_residues":[200,263,663,726,663,263],"display_cycle":[200,263,663,726,663,263],"intervals":[{"from_index":371,"to_index":835,"sum":224292,"residue":200},{"from_index":835,"to_index":1299,"sum":219725,"residue":263},{"from_index":1299,"to_index":1763,"sum":217347,"residue":663},{"from_index":1763,"to_index":2227,"sum":204446,"residue":726},{"from_index":2227,"to_index":2691,"sum":209013,"residue":663},{"from_index":2691,"to_index":371,"sum":210465,"residue":263}],"minimal_cycle":[200,263,663,726,663,263],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[371,835],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-372","shape":"Hexagon","alpha_indices":[372,836,1300,1764,2228,2692],"clock_positions":[372,836,1300,1764,2228,2692],"native_values":[120,343,583,806,583,343],"rotation_degrees":48.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[120,343,583,806,583,343],"beta":{"interval_sums":[225075,219868,217667,203663,208870,210145],"interval_residues":[57,406,57,869,520,869],"display_cycle":[57,406,57,869,520,869],"intervals":[{"from_index":372,"to_index":836,"sum":225075,"residue":57},{"from_index":836,"to_index":1300,"sum":219868,"residue":406},{"from_index":1300,"to_index":1764,"sum":217667,"residue":57},{"from_index":1764,"to_index":2228,"sum":203663,"residue":869},{"from_index":2228,"to_index":2692,"sum":208870,"residue":520},{"from_index":2692,"to_index":372,"sum":210145,"residue":869}],"minimal_cycle":[57,406,57,869,520,869],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":57,"start_interval_clock_positions":[372,836],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-373","shape":"Hexagon","alpha_indices":[373,837,1301,1765,2229,2693],"clock_positions":[373,837,1301,1765,2229,2693],"native_values":[143,320,143,783,606,783],"rotation_degrees":48.23275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[143,320,143,783,606,783],"beta":{"interval_sums":[225275,220131,218330,203463,208607,209482],"interval_residues":[257,669,720,669,257,206],"display_cycle":[257,669,720,669,257,206],"intervals":[{"from_index":373,"to_index":837,"sum":225275,"residue":257},{"from_index":837,"to_index":1301,"sum":220131,"residue":669},{"from_index":1301,"to_index":1765,"sum":218330,"residue":720},{"from_index":1765,"to_index":2229,"sum":203463,"residue":669},{"from_index":2229,"to_index":2693,"sum":208607,"residue":257},{"from_index":2693,"to_index":373,"sum":209482,"residue":206}],"minimal_cycle":[257,669,720,669,257,206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":257,"start_interval_clock_positions":[373,837],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-374","shape":"Hexagon","alpha_indices":[374,838,1302,1766,2230,2694],"clock_positions":[374,838,1302,1766,2230,2694],"native_values":[263,663,726,663,263,200],"rotation_degrees":48.36206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[263,663,726,663,263,200],"beta":{"interval_sums":[225332,219611,218387,203406,209127,209425],"interval_residues":[314,149,777,612,777,149],"display_cycle":[314,149,777,612,777,149],"intervals":[{"from_index":374,"to_index":838,"sum":225332,"residue":314},{"from_index":838,"to_index":1302,"sum":219611,"residue":149},{"from_index":1302,"to_index":1766,"sum":218387,"residue":777},{"from_index":1766,"to_index":2230,"sum":203406,"residue":612},{"from_index":2230,"to_index":2694,"sum":209127,"residue":777},{"from_index":2694,"to_index":374,"sum":209425,"residue":149}],"minimal_cycle":[314,149,777,612,777,149],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":314,"start_interval_clock_positions":[374,838],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-375","shape":"Hexagon","alpha_indices":[375,839,1303,1767,2231,2695],"clock_positions":[375,839,1303,1767,2231,2695],"native_values":[406,57,869,520,869,57],"rotation_degrees":48.491379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[406,57,869,520,869,57],"beta":{"interval_sums":[225589,220280,218181,203149,208458,209631],"interval_residues":[571,818,571,355,108,355],"display_cycle":[571,818,571,355,108,355],"intervals":[{"from_index":375,"to_index":839,"sum":225589,"residue":571},{"from_index":839,"to_index":1303,"sum":220280,"residue":818},{"from_index":1303,"to_index":1767,"sum":218181,"residue":571},{"from_index":1767,"to_index":2231,"sum":203149,"residue":355},{"from_index":2231,"to_index":2695,"sum":208458,"residue":108},{"from_index":2695,"to_index":375,"sum":209631,"residue":355}],"minimal_cycle":[571,818,571,355,108,355],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":571,"start_interval_clock_positions":[375,839],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-376","shape":"Hexagon","alpha_indices":[376,840,1304,1768,2232,2696],"clock_positions":[376,840,1304,1768,2232,2696],"native_values":[669,720,669,257,206,257],"rotation_degrees":48.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,720,669,257,206,257],"beta":{"interval_sums":[224977,220429,218032,203761,208309,209780],"interval_residues":[885,41,422,41,885,504],"display_cycle":[885,41,422,41,885,504],"intervals":[{"from_index":376,"to_index":840,"sum":224977,"residue":885},{"from_index":840,"to_index":1304,"sum":220429,"residue":41},{"from_index":1304,"to_index":1768,"sum":218032,"residue":422},{"from_index":1768,"to_index":2232,"sum":203761,"residue":41},{"from_index":2232,"to_index":2696,"sum":208309,"residue":885},{"from_index":2696,"to_index":376,"sum":209780,"residue":504}],"minimal_cycle":[885,41,422,41,885,504],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":885,"start_interval_clock_positions":[376,840],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-377","shape":"Hexagon","alpha_indices":[377,841,1305,1769,2233,2697],"clock_positions":[377,841,1305,1769,2233,2697],"native_values":[149,777,612,777,149,314],"rotation_degrees":48.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,777,612,777,149,314],"beta":{"interval_sums":[225548,220321,217677,203190,208417,210135],"interval_residues":[530,859,67,396,67,859],"display_cycle":[530,859,67,396,67,859],"intervals":[{"from_index":377,"to_index":841,"sum":225548,"residue":530},{"from_index":841,"to_index":1305,"sum":220321,"residue":859},{"from_index":1305,"to_index":1769,"sum":217677,"residue":67},{"from_index":1769,"to_index":2233,"sum":203190,"residue":396},{"from_index":2233,"to_index":2697,"sum":208417,"residue":67},{"from_index":2697,"to_index":377,"sum":210135,"residue":859}],"minimal_cycle":[530,859,67,396,67,859],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[377,841],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-378","shape":"Hexagon","alpha_indices":[378,842,1306,1770,2234,2698],"clock_positions":[378,842,1306,1770,2234,2698],"native_values":[818,571,355,108,355,571],"rotation_degrees":48.87931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[818,571,355,108,355,571],"beta":{"interval_sums":[225507,220362,218099,203231,208376,209713],"interval_residues":[489,900,489,437,26,437],"display_cycle":[489,900,489,437,26,437],"intervals":[{"from_index":378,"to_index":842,"sum":225507,"residue":489},{"from_index":842,"to_index":1306,"sum":220362,"residue":900},{"from_index":1306,"to_index":1770,"sum":218099,"residue":489},{"from_index":1770,"to_index":2234,"sum":203231,"residue":437},{"from_index":2234,"to_index":2698,"sum":208376,"residue":26},{"from_index":2698,"to_index":378,"sum":209713,"residue":437}],"minimal_cycle":[489,900,489,437,26,437],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":489,"start_interval_clock_positions":[378,842],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-379","shape":"Hexagon","alpha_indices":[379,843,1307,1771,2235,2699],"clock_positions":[379,843,1307,1771,2235,2699],"native_values":[41,422,41,885,504,885],"rotation_degrees":49.008620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,422,41,885,504,885],"beta":{"interval_sums":[226037,220295,218166,202701,208443,209646],"interval_residues":[93,833,556,833,93,370],"display_cycle":[93,833,556,833,93,370],"intervals":[{"from_index":379,"to_index":843,"sum":226037,"residue":93},{"from_index":843,"to_index":1307,"sum":220295,"residue":833},{"from_index":1307,"to_index":1771,"sum":218166,"residue":556},{"from_index":1771,"to_index":2235,"sum":202701,"residue":833},{"from_index":2235,"to_index":2699,"sum":208443,"residue":93},{"from_index":2699,"to_index":379,"sum":209646,"residue":370}],"minimal_cycle":[93,833,556,833,93,370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":93,"start_interval_clock_positions":[379,843],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-380","shape":"Hexagon","alpha_indices":[380,844,1308,1772,2236,2700],"clock_positions":[380,844,1308,1772,2236,2700],"native_values":[859,67,396,67,859,530],"rotation_degrees":49.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[859,67,396,67,859,530],"beta":{"interval_sums":[225600,220269,218655,203138,208469,209157],"interval_residues":[582,807,119,344,119,807],"display_cycle":[582,807,119,344,119,807],"intervals":[{"from_index":380,"to_index":844,"sum":225600,"residue":582},{"from_index":844,"to_index":1308,"sum":220269,"residue":807},{"from_index":1308,"to_index":1772,"sum":218655,"residue":119},{"from_index":1772,"to_index":2236,"sum":203138,"residue":344},{"from_index":2236,"to_index":2700,"sum":208469,"residue":119},{"from_index":2700,"to_index":380,"sum":209157,"residue":807}],"minimal_cycle":[582,807,119,344,119,807],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":582,"start_interval_clock_positions":[380,844],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-381","shape":"Hexagon","alpha_indices":[381,845,1309,1773,2237,2701],"clock_positions":[381,845,1309,1773,2237,2701],"native_values":[900,489,437,26,437,489],"rotation_degrees":49.26724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[900,489,437,26,437,489],"beta":{"interval_sums":[224767,220176,218285,203971,208562,209527],"interval_residues":[675,714,675,251,212,251],"display_cycle":[675,714,675,251,212,251],"intervals":[{"from_index":381,"to_index":845,"sum":224767,"residue":675},{"from_index":845,"to_index":1309,"sum":220176,"residue":714},{"from_index":1309,"to_index":1773,"sum":218285,"residue":675},{"from_index":1773,"to_index":2237,"sum":203971,"residue":251},{"from_index":2237,"to_index":2701,"sum":208562,"residue":212},{"from_index":2701,"to_index":381,"sum":209527,"residue":251}],"minimal_cycle":[675,714,675,251,212,251],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":675,"start_interval_clock_positions":[381,845],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-382","shape":"Hexagon","alpha_indices":[382,846,1310,1774,2238,2702],"clock_positions":[382,846,1310,1774,2238,2702],"native_values":[833,556,833,93,370,93],"rotation_degrees":49.39655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[833,556,833,93,370,93],"beta":{"interval_sums":[224423,220057,217478,204315,208681,210334],"interval_residues":[331,595,794,595,331,132],"display_cycle":[331,595,794,595,331,132],"intervals":[{"from_index":382,"to_index":846,"sum":224423,"residue":331},{"from_index":846,"to_index":1310,"sum":220057,"residue":595},{"from_index":1310,"to_index":1774,"sum":217478,"residue":794},{"from_index":1774,"to_index":2238,"sum":204315,"residue":595},{"from_index":2238,"to_index":2702,"sum":208681,"residue":331},{"from_index":2702,"to_index":382,"sum":210334,"residue":132}],"minimal_cycle":[331,595,794,595,331,132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":331,"start_interval_clock_positions":[382,846],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-383","shape":"Hexagon","alpha_indices":[383,847,1311,1775,2239,2703],"clock_positions":[383,847,1311,1775,2239,2703],"native_values":[807,119,344,119,807,582],"rotation_degrees":49.525862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[807,119,344,119,807,582],"beta":{"interval_sums":[224172,220771,217227,204566,207967,210585],"interval_residues":[80,383,543,846,543,383],"display_cycle":[80,383,543,846,543,383],"intervals":[{"from_index":383,"to_index":847,"sum":224172,"residue":80},{"from_index":847,"to_index":1311,"sum":220771,"residue":383},{"from_index":1311,"to_index":1775,"sum":217227,"residue":543},{"from_index":1775,"to_index":2239,"sum":204566,"residue":846},{"from_index":2239,"to_index":2703,"sum":207967,"residue":543},{"from_index":2703,"to_index":383,"sum":210585,"residue":383}],"minimal_cycle":[80,383,543,846,543,383],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[383,847],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-384","shape":"Hexagon","alpha_indices":[384,848,1312,1776,2240,2704],"clock_positions":[384,848,1312,1776,2240,2704],"native_values":[714,675,251,212,251,675],"rotation_degrees":49.6551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[714,675,251,212,251,675],"beta":{"interval_sums":[223577,220440,217095,205161,208298,210717],"interval_residues":[411,52,411,515,874,515],"display_cycle":[411,52,411,515,874,515],"intervals":[{"from_index":384,"to_index":848,"sum":223577,"residue":411},{"from_index":848,"to_index":1312,"sum":220440,"residue":52},{"from_index":1312,"to_index":1776,"sum":217095,"residue":411},{"from_index":1776,"to_index":2240,"sum":205161,"residue":515},{"from_index":2240,"to_index":2704,"sum":208298,"residue":874},{"from_index":2704,"to_index":384,"sum":210717,"residue":515}],"minimal_cycle":[411,52,411,515,874,515],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":411,"start_interval_clock_positions":[384,848],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-385","shape":"Hexagon","alpha_indices":[385,849,1313,1777,2241,2705],"clock_positions":[385,849,1313,1777,2241,2705],"native_values":[595,794,595,331,132,331],"rotation_degrees":49.78448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[595,794,595,331,132,331],"beta":{"interval_sums":[223657,219897,216712,205081,208841,211100],"interval_residues":[491,435,28,435,491,898],"display_cycle":[491,435,28,435,491,898],"intervals":[{"from_index":385,"to_index":849,"sum":223657,"residue":491},{"from_index":849,"to_index":1313,"sum":219897,"residue":435},{"from_index":1313,"to_index":1777,"sum":216712,"residue":28},{"from_index":1777,"to_index":2241,"sum":205081,"residue":435},{"from_index":2241,"to_index":2705,"sum":208841,"residue":491},{"from_index":2705,"to_index":385,"sum":211100,"residue":898}],"minimal_cycle":[491,435,28,435,491,898],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":491,"start_interval_clock_positions":[385,849],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-386","shape":"Hexagon","alpha_indices":[386,850,1314,1778,2242,2706],"clock_positions":[386,850,1314,1778,2242,2706],"native_values":[383,543,846,543,383,80],"rotation_degrees":49.91379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[383,543,846,543,383,80],"beta":{"interval_sums":[224068,219949,216197,204670,208789,211615],"interval_residues":[902,487,439,24,439,487],"display_cycle":[902,487,439,24,439,487],"intervals":[{"from_index":386,"to_index":850,"sum":224068,"residue":902},{"from_index":850,"to_index":1314,"sum":219949,"residue":487},{"from_index":1314,"to_index":1778,"sum":216197,"residue":439},{"from_index":1778,"to_index":2242,"sum":204670,"residue":24},{"from_index":2242,"to_index":2706,"sum":208789,"residue":439},{"from_index":2706,"to_index":386,"sum":211615,"residue":487}],"minimal_cycle":[902,487,439,24,439,487],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":902,"start_interval_clock_positions":[386,850],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-387","shape":"Hexagon","alpha_indices":[387,851,1315,1779,2243,2707],"clock_positions":[387,851,1315,1779,2243,2707],"native_values":[52,411,515,874,515,411],"rotation_degrees":50.043103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[52,411,515,874,515,411],"beta":{"interval_sums":[224559,220384,216225,204179,208354,211587],"interval_residues":[467,922,467,459,4,459],"display_cycle":[467,922,467,459,4,459],"intervals":[{"from_index":387,"to_index":851,"sum":224559,"residue":467},{"from_index":851,"to_index":1315,"sum":220384,"residue":922},{"from_index":1315,"to_index":1779,"sum":216225,"residue":467},{"from_index":1779,"to_index":2243,"sum":204179,"residue":459},{"from_index":2243,"to_index":2707,"sum":208354,"residue":4},{"from_index":2707,"to_index":387,"sum":211587,"residue":459}],"minimal_cycle":[467,922,467,459,4,459],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":467,"start_interval_clock_positions":[387,851],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-388","shape":"Hexagon","alpha_indices":[388,852,1316,1780,2244,2708],"clock_positions":[388,852,1316,1780,2244,2708],"native_values":[435,28,435,491,898,491],"rotation_degrees":50.172413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[435,28,435,491,898,491],"beta":{"interval_sums":[224535,220871,216664,204203,207867,211148],"interval_residues":[443,483,906,483,443,20],"display_cycle":[443,483,906,483,443,20],"intervals":[{"from_index":388,"to_index":852,"sum":224535,"residue":443},{"from_index":852,"to_index":1316,"sum":220871,"residue":483},{"from_index":1316,"to_index":1780,"sum":216664,"residue":906},{"from_index":1780,"to_index":2244,"sum":204203,"residue":483},{"from_index":2244,"to_index":2708,"sum":207867,"residue":443},{"from_index":2708,"to_index":388,"sum":211148,"residue":20}],"minimal_cycle":[443,483,906,483,443,20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":443,"start_interval_clock_positions":[388,852],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-389","shape":"Hexagon","alpha_indices":[389,853,1317,1781,2245,2709],"clock_positions":[389,853,1317,1781,2245,2709],"native_values":[487,439,24,439,487,902],"rotation_degrees":50.30172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[487,439,24,439,487,902],"beta":{"interval_sums":[224076,220867,217131,204662,207871,210681],"interval_residues":[910,479,447,16,447,479],"display_cycle":[910,479,447,16,447,479],"intervals":[{"from_index":389,"to_index":853,"sum":224076,"residue":910},{"from_index":853,"to_index":1317,"sum":220867,"residue":479},{"from_index":1317,"to_index":1781,"sum":217131,"residue":447},{"from_index":1781,"to_index":2245,"sum":204662,"residue":16},{"from_index":2245,"to_index":2709,"sum":207871,"residue":447},{"from_index":2709,"to_index":389,"sum":210681,"residue":479}],"minimal_cycle":[910,479,447,16,447,479],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":910,"start_interval_clock_positions":[389,853],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-390","shape":"Hexagon","alpha_indices":[390,854,1318,1782,2246,2710],"clock_positions":[390,854,1318,1782,2246,2710],"native_values":[922,467,459,4,459,467],"rotation_degrees":50.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[922,467,459,4,459,467],"beta":{"interval_sums":[223593,220424,217111,205145,208314,210701],"interval_residues":[427,36,427,499,890,499],"display_cycle":[427,36,427,499,890,499],"intervals":[{"from_index":390,"to_index":854,"sum":223593,"residue":427},{"from_index":854,"to_index":1318,"sum":220424,"residue":36},{"from_index":1318,"to_index":1782,"sum":217111,"residue":427},{"from_index":1782,"to_index":2246,"sum":205145,"residue":499},{"from_index":2246,"to_index":2710,"sum":208314,"residue":890},{"from_index":2710,"to_index":390,"sum":210701,"residue":499}],"minimal_cycle":[427,36,427,499,890,499],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":427,"start_interval_clock_positions":[390,854],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-391","shape":"Hexagon","alpha_indices":[391,855,1319,1783,2247,2711],"clock_positions":[391,855,1319,1783,2247,2711],"native_values":[483,906,483,443,20,443],"rotation_degrees":50.560344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,906,483,443,20,443],"beta":{"interval_sums":[223577,219977,216632,205161,208761,211180],"interval_residues":[411,515,874,515,411,52],"display_cycle":[411,515,874,515,411,52],"intervals":[{"from_index":391,"to_index":855,"sum":223577,"residue":411},{"from_index":855,"to_index":1319,"sum":219977,"residue":515},{"from_index":1319,"to_index":1783,"sum":216632,"residue":874},{"from_index":1783,"to_index":2247,"sum":205161,"residue":515},{"from_index":2247,"to_index":2711,"sum":208761,"residue":411},{"from_index":2711,"to_index":391,"sum":211180,"residue":52}],"minimal_cycle":[411,515,874,515,411,52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":411,"start_interval_clock_positions":[391,855],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-392","shape":"Hexagon","alpha_indices":[392,856,1320,1784,2248,2712],"clock_positions":[392,856,1320,1784,2248,2712],"native_values":[479,447,16,447,479,910],"rotation_degrees":50.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[479,447,16,447,479,910],"beta":{"interval_sums":[224004,220013,217059,204734,208725,210753],"interval_residues":[838,551,375,88,375,551],"display_cycle":[838,551,375,88,375,551],"intervals":[{"from_index":392,"to_index":856,"sum":224004,"residue":838},{"from_index":856,"to_index":1320,"sum":220013,"residue":551},{"from_index":1320,"to_index":1784,"sum":217059,"residue":375},{"from_index":1784,"to_index":2248,"sum":204734,"residue":88},{"from_index":2248,"to_index":2712,"sum":208725,"residue":375},{"from_index":2712,"to_index":392,"sum":210753,"residue":551}],"minimal_cycle":[838,551,375,88,375,551],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":838,"start_interval_clock_positions":[392,856],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-393","shape":"Hexagon","alpha_indices":[393,857,1321,1785,2249,2713],"clock_positions":[393,857,1321,1785,2249,2713],"native_values":[36,427,499,890,499,427],"rotation_degrees":50.81896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,427,499,890,499,427],"beta":{"interval_sums":[224415,219602,217007,204323,209136,210805],"interval_residues":[323,140,323,603,786,603],"display_cycle":[323,140,323,603,786,603],"intervals":[{"from_index":393,"to_index":857,"sum":224415,"residue":323},{"from_index":857,"to_index":1321,"sum":219602,"residue":140},{"from_index":1321,"to_index":1785,"sum":217007,"residue":323},{"from_index":1785,"to_index":2249,"sum":204323,"residue":603},{"from_index":2249,"to_index":2713,"sum":209136,"residue":786},{"from_index":2713,"to_index":393,"sum":210805,"residue":603}],"minimal_cycle":[323,140,323,603,786,603],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":323,"start_interval_clock_positions":[393,857],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-394","shape":"Hexagon","alpha_indices":[394,858,1322,1786,2250,2714],"clock_positions":[394,858,1322,1786,2250,2714],"native_values":[515,874,515,411,52,411],"rotation_degrees":50.94827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[515,874,515,411,52,411],"beta":{"interval_sums":[224327,219227,217382,204411,209511,210430],"interval_residues":[235,691,698,691,235,228],"display_cycle":[235,691,698,691,235,228],"intervals":[{"from_index":394,"to_index":858,"sum":224327,"residue":235},{"from_index":858,"to_index":1322,"sum":219227,"residue":691},{"from_index":1322,"to_index":1786,"sum":217382,"residue":698},{"from_index":1786,"to_index":2250,"sum":204411,"residue":691},{"from_index":2250,"to_index":2714,"sum":209511,"residue":235},{"from_index":2714,"to_index":394,"sum":210430,"residue":228}],"minimal_cycle":[235,691,698,691,235,228],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":235,"start_interval_clock_positions":[394,858],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-395","shape":"Hexagon","alpha_indices":[395,859,1323,1787,2251,2715],"clock_positions":[395,859,1323,1787,2251,2715],"native_values":[551,375,88,375,551,838],"rotation_degrees":51.077586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,375,88,375,551,838],"beta":{"interval_sums":[224650,219367,217705,204088,209371,210107],"interval_residues":[558,831,95,368,95,831],"display_cycle":[558,831,95,368,95,831],"intervals":[{"from_index":395,"to_index":859,"sum":224650,"residue":558},{"from_index":859,"to_index":1323,"sum":219367,"residue":831},{"from_index":1323,"to_index":1787,"sum":217705,"residue":95},{"from_index":1787,"to_index":2251,"sum":204088,"residue":368},{"from_index":2251,"to_index":2715,"sum":209371,"residue":95},{"from_index":2715,"to_index":395,"sum":210107,"residue":831}],"minimal_cycle":[558,831,95,368,95,831],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":558,"start_interval_clock_positions":[395,859],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-396","shape":"Hexagon","alpha_indices":[396,860,1324,1788,2252,2716],"clock_positions":[396,860,1324,1788,2252,2716],"native_values":[140,323,603,786,603,323],"rotation_degrees":51.206896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[140,323,603,786,603,323],"beta":{"interval_sums":[224885,219132,217477,203853,209606,210335],"interval_residues":[793,596,793,133,330,133],"display_cycle":[793,596,793,133,330,133],"intervals":[{"from_index":396,"to_index":860,"sum":224885,"residue":793},{"from_index":860,"to_index":1324,"sum":219132,"residue":596},{"from_index":1324,"to_index":1788,"sum":217477,"residue":793},{"from_index":1788,"to_index":2252,"sum":203853,"residue":133},{"from_index":2252,"to_index":2716,"sum":209606,"residue":330},{"from_index":2716,"to_index":396,"sum":210335,"residue":133}],"minimal_cycle":[793,596,793,133,330,133],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":793,"start_interval_clock_positions":[396,860],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-397","shape":"Hexagon","alpha_indices":[397,861,1325,1789,2253,2717],"clock_positions":[397,861,1325,1789,2253,2717],"native_values":[691,698,691,235,228,235],"rotation_degrees":51.33620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,698,691,235,228,235],"beta":{"interval_sums":[224517,219037,217572,204221,209701,210240],"interval_residues":[425,501,888,501,425,38],"display_cycle":[425,501,888,501,425,38],"intervals":[{"from_index":397,"to_index":861,"sum":224517,"residue":425},{"from_index":861,"to_index":1325,"sum":219037,"residue":501},{"from_index":1325,"to_index":1789,"sum":217572,"residue":888},{"from_index":1789,"to_index":2253,"sum":204221,"residue":501},{"from_index":2253,"to_index":2717,"sum":209701,"residue":425},{"from_index":2717,"to_index":397,"sum":210240,"residue":38}],"minimal_cycle":[425,501,888,501,425,38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":425,"start_interval_clock_positions":[397,861],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-398","shape":"Hexagon","alpha_indices":[398,862,1326,1790,2254,2718],"clock_positions":[398,862,1326,1790,2254,2718],"native_values":[831,95,368,95,831,558],"rotation_degrees":51.46551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[831,95,368,95,831,558],"beta":{"interval_sums":[224384,219633,217439,204354,209105,210373],"interval_residues":[292,171,755,634,755,171],"display_cycle":[292,171,755,634,755,171],"intervals":[{"from_index":398,"to_index":862,"sum":224384,"residue":292},{"from_index":862,"to_index":1326,"sum":219633,"residue":171},{"from_index":1326,"to_index":1790,"sum":217439,"residue":755},{"from_index":1790,"to_index":2254,"sum":204354,"residue":634},{"from_index":2254,"to_index":2718,"sum":209105,"residue":755},{"from_index":2718,"to_index":398,"sum":210373,"residue":171}],"minimal_cycle":[292,171,755,634,755,171],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[398,862],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-399","shape":"Hexagon","alpha_indices":[399,863,1327,1791,2255,2719],"clock_positions":[399,863,1327,1791,2255,2719],"native_values":[596,793,133,330,133,793],"rotation_degrees":51.5948275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[596,793,133,330,133,793],"beta":{"interval_sums":[223883,219208,217401,204855,209530,210411],"interval_residues":[717,672,717,209,254,209],"display_cycle":[717,672,717,209,254,209],"intervals":[{"from_index":399,"to_index":863,"sum":223883,"residue":717},{"from_index":863,"to_index":1327,"sum":219208,"residue":672},{"from_index":1327,"to_index":1791,"sum":217401,"residue":717},{"from_index":1791,"to_index":2255,"sum":204855,"residue":209},{"from_index":2255,"to_index":2719,"sum":209530,"residue":254},{"from_index":2719,"to_index":399,"sum":210411,"residue":209}],"minimal_cycle":[717,672,717,209,254,209],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":717,"start_interval_clock_positions":[399,863],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-400","shape":"Hexagon","alpha_indices":[400,864,1328,1792,2256,2720],"clock_positions":[400,864,1328,1792,2256,2720],"native_values":[501,888,501,425,38,425],"rotation_degrees":51.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[501,888,501,425,38,425],"beta":{"interval_sums":[224175,218453,217230,204563,210285,210582],"interval_residues":[83,843,546,843,83,380],"display_cycle":[83,843,546,843,83,380],"intervals":[{"from_index":400,"to_index":864,"sum":224175,"residue":83},{"from_index":864,"to_index":1328,"sum":218453,"residue":843},{"from_index":1328,"to_index":1792,"sum":217230,"residue":546},{"from_index":1792,"to_index":2256,"sum":204563,"residue":843},{"from_index":2256,"to_index":2720,"sum":210285,"residue":83},{"from_index":2720,"to_index":400,"sum":210582,"residue":380}],"minimal_cycle":[83,843,546,843,83,380],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":83,"start_interval_clock_positions":[400,864],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-401","shape":"Hexagon","alpha_indices":[401,865,1329,1793,2257,2721],"clock_positions":[401,865,1329,1793,2257,2721],"native_values":[171,755,634,755,171,292],"rotation_degrees":51.85344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,755,634,755,171,292],"beta":{"interval_sums":[224892,218199,217021,203846,210539,210791],"interval_residues":[800,589,337,126,337,589],"display_cycle":[800,589,337,126,337,589],"intervals":[{"from_index":401,"to_index":865,"sum":224892,"residue":800},{"from_index":865,"to_index":1329,"sum":218199,"residue":589},{"from_index":1329,"to_index":1793,"sum":217021,"residue":337},{"from_index":1793,"to_index":2257,"sum":203846,"residue":126},{"from_index":2257,"to_index":2721,"sum":210539,"residue":337},{"from_index":2721,"to_index":401,"sum":210791,"residue":589}],"minimal_cycle":[800,589,337,126,337,589],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":800,"start_interval_clock_positions":[401,865],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-402","shape":"Hexagon","alpha_indices":[402,866,1330,1794,2258,2722],"clock_positions":[402,866,1330,1794,2258,2722],"native_values":[672,717,209,254,209,717],"rotation_degrees":51.98275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[672,717,209,254,209,717],"beta":{"interval_sums":[224975,218116,217567,203763,210622,210245],"interval_residues":[883,506,883,43,420,43],"display_cycle":[883,506,883,43,420,43],"intervals":[{"from_index":402,"to_index":866,"sum":224975,"residue":883},{"from_index":866,"to_index":1330,"sum":218116,"residue":506},{"from_index":1330,"to_index":1794,"sum":217567,"residue":883},{"from_index":1794,"to_index":2258,"sum":203763,"residue":43},{"from_index":2258,"to_index":2722,"sum":210622,"residue":420},{"from_index":2722,"to_index":402,"sum":210245,"residue":43}],"minimal_cycle":[883,506,883,43,420,43],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":883,"start_interval_clock_positions":[402,866],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-403","shape":"Hexagon","alpha_indices":[403,867,1331,1795,2259,2723],"clock_positions":[403,867,1331,1795,2259,2723],"native_values":[843,546,843,83,380,83],"rotation_degrees":52.11206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[843,546,843,83,380,83],"beta":{"interval_sums":[224849,217779,216978,203889,210959,210834],"interval_residues":[757,169,294,169,757,632],"display_cycle":[757,169,294,169,757,632],"intervals":[{"from_index":403,"to_index":867,"sum":224849,"residue":757},{"from_index":867,"to_index":1331,"sum":217779,"residue":169},{"from_index":1331,"to_index":1795,"sum":216978,"residue":294},{"from_index":1795,"to_index":2259,"sum":203889,"residue":169},{"from_index":2259,"to_index":2723,"sum":210959,"residue":757},{"from_index":2723,"to_index":403,"sum":210834,"residue":632}],"minimal_cycle":[757,169,294,169,757,632],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":757,"start_interval_clock_positions":[403,867],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-404","shape":"Hexagon","alpha_indices":[404,868,1332,1796,2260,2724],"clock_positions":[404,868,1332,1796,2260,2724],"native_values":[589,337,126,337,589,800],"rotation_degrees":52.241379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[589,337,126,337,589,800],"beta":{"interval_sums":[224806,218285,216935,203932,210453,210877],"interval_residues":[714,675,251,212,251,675],"display_cycle":[714,675,251,212,251,675],"intervals":[{"from_index":404,"to_index":868,"sum":224806,"residue":714},{"from_index":868,"to_index":1332,"sum":218285,"residue":675},{"from_index":1332,"to_index":1796,"sum":216935,"residue":251},{"from_index":1796,"to_index":2260,"sum":203932,"residue":212},{"from_index":2260,"to_index":2724,"sum":210453,"residue":251},{"from_index":2724,"to_index":404,"sum":210877,"residue":675}],"minimal_cycle":[714,675,251,212,251,675],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":714,"start_interval_clock_positions":[404,868],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-405","shape":"Hexagon","alpha_indices":[405,869,1333,1797,2261,2725],"clock_positions":[405,869,1333,1797,2261,2725],"native_values":[506,883,43,420,43,883],"rotation_degrees":52.37068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[506,883,43,420,43,883],"beta":{"interval_sums":[224637,217528,217229,204101,211210,210583],"interval_residues":[545,844,545,381,82,381],"display_cycle":[545,844,545,381,82,381],"intervals":[{"from_index":405,"to_index":869,"sum":224637,"residue":545},{"from_index":869,"to_index":1333,"sum":217528,"residue":844},{"from_index":1333,"to_index":1797,"sum":217229,"residue":545},{"from_index":1797,"to_index":2261,"sum":204101,"residue":381},{"from_index":2261,"to_index":2725,"sum":211210,"residue":82},{"from_index":2725,"to_index":405,"sum":210583,"residue":381}],"minimal_cycle":[545,844,545,381,82,381],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":545,"start_interval_clock_positions":[405,869],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-406","shape":"Hexagon","alpha_indices":[406,870,1334,1798,2262,2726],"clock_positions":[406,870,1334,1798,2262,2726],"native_values":[169,294,169,757,632,757],"rotation_degrees":52.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,294,169,757,632,757],"beta":{"interval_sums":[225351,217277,217480,203387,211461,210332],"interval_residues":[333,593,796,593,333,130],"display_cycle":[333,593,796,593,333,130],"intervals":[{"from_index":406,"to_index":870,"sum":225351,"residue":333},{"from_index":870,"to_index":1334,"sum":217277,"residue":593},{"from_index":1334,"to_index":1798,"sum":217480,"residue":796},{"from_index":1798,"to_index":2262,"sum":203387,"residue":593},{"from_index":2262,"to_index":2726,"sum":211461,"residue":333},{"from_index":2726,"to_index":406,"sum":210332,"residue":130}],"minimal_cycle":[333,593,796,593,333,130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":333,"start_interval_clock_positions":[406,870],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-407","shape":"Hexagon","alpha_indices":[407,871,1335,1799,2263,2727],"clock_positions":[407,871,1335,1799,2263,2727],"native_values":[675,251,212,251,675,714],"rotation_degrees":52.62931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[675,251,212,251,675,714],"beta":{"interval_sums":[224970,217195,218025,203768,211543,209787],"interval_residues":[878,511,415,48,415,511],"display_cycle":[878,511,415,48,415,511],"intervals":[{"from_index":407,"to_index":871,"sum":224970,"residue":878},{"from_index":871,"to_index":1335,"sum":217195,"residue":511},{"from_index":1335,"to_index":1799,"sum":218025,"residue":415},{"from_index":1799,"to_index":2263,"sum":203768,"residue":48},{"from_index":2263,"to_index":2727,"sum":211543,"residue":415},{"from_index":2727,"to_index":407,"sum":209787,"residue":511}],"minimal_cycle":[878,511,415,48,415,511],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":878,"start_interval_clock_positions":[407,871],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-408","shape":"Hexagon","alpha_indices":[408,872,1336,1800,2264,2728],"clock_positions":[408,872,1336,1800,2264,2728],"native_values":[844,545,381,82,381,545],"rotation_degrees":52.758620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[844,545,381,82,381,545],"beta":{"interval_sums":[224377,216862,217895,204361,211876,209917],"interval_residues":[285,178,285,641,748,641],"display_cycle":[285,178,285,641,748,641],"intervals":[{"from_index":408,"to_index":872,"sum":224377,"residue":285},{"from_index":872,"to_index":1336,"sum":216862,"residue":178},{"from_index":1336,"to_index":1800,"sum":217895,"residue":285},{"from_index":1800,"to_index":2264,"sum":204361,"residue":641},{"from_index":2264,"to_index":2728,"sum":211876,"residue":748},{"from_index":2728,"to_index":408,"sum":209917,"residue":641}],"minimal_cycle":[285,178,285,641,748,641],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":285,"start_interval_clock_positions":[408,872],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-409","shape":"Hexagon","alpha_indices":[409,873,1337,1801,2265,2729],"clock_positions":[409,873,1337,1801,2265,2729],"native_values":[593,796,593,333,130,333],"rotation_degrees":52.88793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[593,796,593,333,130,333],"beta":{"interval_sums":[224329,216447,217384,204409,212291,210428],"interval_residues":[237,689,700,689,237,226],"display_cycle":[237,689,700,689,237,226],"intervals":[{"from_index":409,"to_index":873,"sum":224329,"residue":237},{"from_index":873,"to_index":1337,"sum":216447,"residue":689},{"from_index":1337,"to_index":1801,"sum":217384,"residue":700},{"from_index":1801,"to_index":2265,"sum":204409,"residue":689},{"from_index":2265,"to_index":2729,"sum":212291,"residue":237},{"from_index":2729,"to_index":409,"sum":210428,"residue":226}],"minimal_cycle":[237,689,700,689,237,226],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":237,"start_interval_clock_positions":[409,873],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-410","shape":"Hexagon","alpha_indices":[410,874,1338,1802,2266,2730],"clock_positions":[410,874,1338,1802,2266,2730],"native_values":[511,415,48,415,511,878],"rotation_degrees":53.01724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[511,415,48,415,511,878],"beta":{"interval_sums":[224614,216625,217669,204124,212113,210143],"interval_residues":[522,867,59,404,59,867],"display_cycle":[522,867,59,404,59,867],"intervals":[{"from_index":410,"to_index":874,"sum":224614,"residue":522},{"from_index":874,"to_index":1338,"sum":216625,"residue":867},{"from_index":1338,"to_index":1802,"sum":217669,"residue":59},{"from_index":1802,"to_index":2266,"sum":204124,"residue":404},{"from_index":2266,"to_index":2730,"sum":212113,"residue":59},{"from_index":2730,"to_index":410,"sum":210143,"residue":867}],"minimal_cycle":[522,867,59,404,59,867],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":522,"start_interval_clock_positions":[410,874],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-411","shape":"Hexagon","alpha_indices":[411,875,1339,1803,2267,2731],"clock_positions":[411,875,1339,1803,2267,2731],"native_values":[178,285,641,748,641,285],"rotation_degrees":53.14655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[178,285,641,748,641,285],"beta":{"interval_sums":[224851,216388,217443,203887,212350,210369],"interval_residues":[759,630,759,167,296,167],"display_cycle":[759,630,759,167,296,167],"intervals":[{"from_index":411,"to_index":875,"sum":224851,"residue":759},{"from_index":875,"to_index":1339,"sum":216388,"residue":630},{"from_index":1339,"to_index":1803,"sum":217443,"residue":759},{"from_index":1803,"to_index":2267,"sum":203887,"residue":167},{"from_index":2267,"to_index":2731,"sum":212350,"residue":296},{"from_index":2731,"to_index":411,"sum":210369,"residue":167}],"minimal_cycle":[759,630,759,167,296,167],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":759,"start_interval_clock_positions":[411,875],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-412","shape":"Hexagon","alpha_indices":[412,876,1340,1804,2268,2732],"clock_positions":[412,876,1340,1804,2268,2732],"native_values":[689,700,689,237,226,237],"rotation_degrees":53.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[689,700,689,237,226,237],"beta":{"interval_sums":[224447,216329,217502,204291,212409,210310],"interval_residues":[355,571,818,571,355,108],"display_cycle":[355,571,818,571,355,108],"intervals":[{"from_index":412,"to_index":876,"sum":224447,"residue":355},{"from_index":876,"to_index":1340,"sum":216329,"residue":571},{"from_index":1340,"to_index":1804,"sum":217502,"residue":818},{"from_index":1804,"to_index":2268,"sum":204291,"residue":571},{"from_index":2268,"to_index":2732,"sum":212409,"residue":355},{"from_index":2732,"to_index":412,"sum":210310,"residue":108}],"minimal_cycle":[355,571,818,571,355,108],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":355,"start_interval_clock_positions":[412,876],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-413","shape":"Hexagon","alpha_indices":[413,877,1341,1805,2269,2733],"clock_positions":[413,877,1341,1805,2269,2733],"native_values":[867,59,404,59,867,522],"rotation_degrees":53.4051724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[867,59,404,59,867,522],"beta":{"interval_sums":[224280,216959,217335,204458,211779,210477],"interval_residues":[188,275,651,738,651,275],"display_cycle":[188,275,651,738,651,275],"intervals":[{"from_index":413,"to_index":877,"sum":224280,"residue":188},{"from_index":877,"to_index":1341,"sum":216959,"residue":275},{"from_index":1341,"to_index":1805,"sum":217335,"residue":651},{"from_index":1805,"to_index":2269,"sum":204458,"residue":738},{"from_index":2269,"to_index":2733,"sum":211779,"residue":651},{"from_index":2733,"to_index":413,"sum":210477,"residue":275}],"minimal_cycle":[188,275,651,738,651,275],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[413,877],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-414","shape":"Hexagon","alpha_indices":[414,878,1342,1806,2270,2734],"clock_positions":[414,878,1342,1806,2270,2734],"native_values":[630,759,167,296,167,759],"rotation_degrees":53.53448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[630,759,167,296,167,759],"beta":{"interval_sums":[223709,216604,217227,205029,212134,210585],"interval_residues":[543,846,543,383,80,383],"display_cycle":[543,846,543,383,80,383],"intervals":[{"from_index":414,"to_index":878,"sum":223709,"residue":543},{"from_index":878,"to_index":1342,"sum":216604,"residue":846},{"from_index":1342,"to_index":1806,"sum":217227,"residue":543},{"from_index":1806,"to_index":2270,"sum":205029,"residue":383},{"from_index":2270,"to_index":2734,"sum":212134,"residue":80},{"from_index":2734,"to_index":414,"sum":210585,"residue":383}],"minimal_cycle":[543,846,543,383,80,383],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":543,"start_interval_clock_positions":[414,878],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-415","shape":"Hexagon","alpha_indices":[415,879,1343,1807,2271,2735],"clock_positions":[415,879,1343,1807,2271,2735],"native_values":[571,818,571,355,108,355],"rotation_degrees":53.66379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[571,818,571,355,108,355],"beta":{"interval_sums":[223897,215953,216952,204841,212785,210860],"interval_residues":[731,195,268,195,731,658],"display_cycle":[731,195,268,195,731,658],"intervals":[{"from_index":415,"to_index":879,"sum":223897,"residue":731},{"from_index":879,"to_index":1343,"sum":215953,"residue":195},{"from_index":1343,"to_index":1807,"sum":216952,"residue":268},{"from_index":1807,"to_index":2271,"sum":204841,"residue":195},{"from_index":2271,"to_index":2735,"sum":212785,"residue":731},{"from_index":2735,"to_index":415,"sum":210860,"residue":658}],"minimal_cycle":[731,195,268,195,731,658],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":731,"start_interval_clock_positions":[415,879],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-416","shape":"Hexagon","alpha_indices":[416,880,1344,1808,2272,2736],"clock_positions":[416,880,1344,1808,2272,2736],"native_values":[275,651,738,651,275,188],"rotation_degrees":53.793103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[275,651,738,651,275,188],"beta":{"interval_sums":[224440,215873,216569,204298,212865,211243],"interval_residues":[348,115,811,578,811,115],"display_cycle":[348,115,811,578,811,115],"intervals":[{"from_index":416,"to_index":880,"sum":224440,"residue":348},{"from_index":880,"to_index":1344,"sum":215873,"residue":115},{"from_index":1344,"to_index":1808,"sum":216569,"residue":811},{"from_index":1808,"to_index":2272,"sum":204298,"residue":578},{"from_index":2272,"to_index":2736,"sum":212865,"residue":811},{"from_index":2736,"to_index":416,"sum":211243,"residue":115}],"minimal_cycle":[348,115,811,578,811,115],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[416,880],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-417","shape":"Hexagon","alpha_indices":[417,881,1345,1809,2273,2737],"clock_positions":[417,881,1345,1809,2273,2737],"native_values":[846,543,383,80,383,543],"rotation_degrees":53.922413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[846,543,383,80,383,543],"beta":{"interval_sums":[224245,216068,216837,204493,212670,210975],"interval_residues":[153,310,153,773,616,773],"display_cycle":[153,310,153,773,616,773],"intervals":[{"from_index":417,"to_index":881,"sum":224245,"residue":153},{"from_index":881,"to_index":1345,"sum":216068,"residue":310},{"from_index":1345,"to_index":1809,"sum":216837,"residue":153},{"from_index":1809,"to_index":2273,"sum":204493,"residue":773},{"from_index":2273,"to_index":2737,"sum":212670,"residue":616},{"from_index":2737,"to_index":417,"sum":210975,"residue":773}],"minimal_cycle":[153,310,153,773,616,773],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":153,"start_interval_clock_positions":[417,881],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-418","shape":"Hexagon","alpha_indices":[418,882,1346,1810,2274,2738],"clock_positions":[418,882,1346,1810,2274,2738],"native_values":[195,268,195,731,658,731],"rotation_degrees":54.05172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,268,195,731,658,731],"beta":{"interval_sums":[224593,216183,216722,204145,212555,211090],"interval_residues":[501,425,38,425,501,888],"display_cycle":[501,425,38,425,501,888],"intervals":[{"from_index":418,"to_index":882,"sum":224593,"residue":501},{"from_index":882,"to_index":1346,"sum":216183,"residue":425},{"from_index":1346,"to_index":1810,"sum":216722,"residue":38},{"from_index":1810,"to_index":2274,"sum":204145,"residue":425},{"from_index":2274,"to_index":2738,"sum":212555,"residue":501},{"from_index":2738,"to_index":418,"sum":211090,"residue":888}],"minimal_cycle":[501,425,38,425,501,888],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":501,"start_interval_clock_positions":[418,882],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-419","shape":"Hexagon","alpha_indices":[419,883,1347,1811,2275,2739],"clock_positions":[419,883,1347,1811,2275,2739],"native_values":[115,811,578,811,115,348],"rotation_degrees":54.18103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,811,578,811,115,348],"beta":{"interval_sums":[224746,215567,216875,203992,213171,210937],"interval_residues":[654,735,191,272,191,735],"display_cycle":[654,735,191,272,191,735],"intervals":[{"from_index":419,"to_index":883,"sum":224746,"residue":654},{"from_index":883,"to_index":1347,"sum":215567,"residue":735},{"from_index":1347,"to_index":1811,"sum":216875,"residue":191},{"from_index":1811,"to_index":2275,"sum":203992,"residue":272},{"from_index":2275,"to_index":2739,"sum":213171,"residue":191},{"from_index":2739,"to_index":419,"sum":210937,"residue":735}],"minimal_cycle":[654,735,191,272,191,735],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":654,"start_interval_clock_positions":[419,883],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-420","shape":"Hexagon","alpha_indices":[420,884,1348,1812,2276,2740],"clock_positions":[420,884,1348,1812,2276,2740],"native_values":[310,153,773,616,773,153],"rotation_degrees":54.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[310,153,773,616,773,153],"beta":{"interval_sums":[225247,215992,216913,203491,212746,210899],"interval_residues":[229,234,229,697,692,697],"display_cycle":[229,234,229,697,692,697],"intervals":[{"from_index":420,"to_index":884,"sum":225247,"residue":229},{"from_index":884,"to_index":1348,"sum":215992,"residue":234},{"from_index":1348,"to_index":1812,"sum":216913,"residue":229},{"from_index":1812,"to_index":2276,"sum":203491,"residue":697},{"from_index":2276,"to_index":2740,"sum":212746,"residue":692},{"from_index":2740,"to_index":420,"sum":210899,"residue":697}],"minimal_cycle":[229,234,229,697,692,697],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":229,"start_interval_clock_positions":[420,884],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-421","shape":"Hexagon","alpha_indices":[421,885,1349,1813,2277,2741],"clock_positions":[421,885,1349,1813,2277,2741],"native_values":[425,38,425,501,888,501],"rotation_degrees":54.439655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[425,38,425,501,888,501],"beta":{"interval_sums":[224975,216727,217104,203763,212011,210708],"interval_residues":[883,43,420,43,883,506],"display_cycle":[883,43,420,43,883,506],"intervals":[{"from_index":421,"to_index":885,"sum":224975,"residue":883},{"from_index":885,"to_index":1349,"sum":216727,"residue":43},{"from_index":1349,"to_index":1813,"sum":217104,"residue":420},{"from_index":1813,"to_index":2277,"sum":203763,"residue":43},{"from_index":2277,"to_index":2741,"sum":212011,"residue":883},{"from_index":2741,"to_index":421,"sum":210708,"residue":506}],"minimal_cycle":[883,43,420,43,883,506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":883,"start_interval_clock_positions":[421,885],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-422","shape":"Hexagon","alpha_indices":[422,886,1350,1814,2278,2742],"clock_positions":[422,886,1350,1814,2278,2742],"native_values":[735,191,272,191,735,654],"rotation_degrees":54.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[735,191,272,191,735,654],"beta":{"interval_sums":[224278,216961,217333,204460,211777,210479],"interval_residues":[186,277,649,740,649,277],"display_cycle":[186,277,649,740,649,277],"intervals":[{"from_index":422,"to_index":886,"sum":224278,"residue":186},{"from_index":886,"to_index":1350,"sum":216961,"residue":277},{"from_index":1350,"to_index":1814,"sum":217333,"residue":649},{"from_index":1814,"to_index":2278,"sum":204460,"residue":740},{"from_index":2278,"to_index":2742,"sum":211777,"residue":649},{"from_index":2742,"to_index":422,"sum":210479,"residue":277}],"minimal_cycle":[186,277,649,740,649,277],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":186,"start_interval_clock_positions":[422,886],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-423","shape":"Hexagon","alpha_indices":[423,887,1351,1815,2279,2743],"clock_positions":[423,887,1351,1815,2279,2743],"native_values":[234,229,697,692,697,229],"rotation_degrees":54.69827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[234,229,697,692,697,229],"beta":{"interval_sums":[224235,217004,216827,204503,211734,210985],"interval_residues":[143,320,143,783,606,783],"display_cycle":[143,320,143,783,606,783],"intervals":[{"from_index":423,"to_index":887,"sum":224235,"residue":143},{"from_index":887,"to_index":1351,"sum":217004,"residue":320},{"from_index":1351,"to_index":1815,"sum":216827,"residue":143},{"from_index":1815,"to_index":2279,"sum":204503,"residue":783},{"from_index":2279,"to_index":2743,"sum":211734,"residue":606},{"from_index":2743,"to_index":423,"sum":210985,"residue":783}],"minimal_cycle":[143,320,143,783,606,783],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":143,"start_interval_clock_positions":[423,887],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-424","shape":"Hexagon","alpha_indices":[424,888,1352,1816,2280,2744],"clock_positions":[424,888,1352,1816,2280,2744],"native_values":[43,420,43,883,506,883],"rotation_degrees":54.827586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[43,420,43,883,506,883],"beta":{"interval_sums":[224421,217281,217476,204317,211457,210336],"interval_residues":[329,597,792,597,329,134],"display_cycle":[329,597,792,597,329,134],"intervals":[{"from_index":424,"to_index":888,"sum":224421,"residue":329},{"from_index":888,"to_index":1352,"sum":217281,"residue":597},{"from_index":1352,"to_index":1816,"sum":217476,"residue":792},{"from_index":1816,"to_index":2280,"sum":204317,"residue":597},{"from_index":2280,"to_index":2744,"sum":211457,"residue":329},{"from_index":2744,"to_index":424,"sum":210336,"residue":134}],"minimal_cycle":[329,597,792,597,329,134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":329,"start_interval_clock_positions":[424,888],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-425","shape":"Hexagon","alpha_indices":[425,889,1353,1817,2281,2745],"clock_positions":[425,889,1353,1817,2281,2745],"native_values":[277,649,740,649,277,186],"rotation_degrees":54.956896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,649,740,649,277,186],"beta":{"interval_sums":[224564,216675,217619,204174,212063,210193],"interval_residues":[472,917,9,454,9,917],"display_cycle":[472,917,9,454,9,917],"intervals":[{"from_index":425,"to_index":889,"sum":224564,"residue":472},{"from_index":889,"to_index":1353,"sum":216675,"residue":917},{"from_index":1353,"to_index":1817,"sum":217619,"residue":9},{"from_index":1817,"to_index":2281,"sum":204174,"residue":454},{"from_index":2281,"to_index":2745,"sum":212063,"residue":9},{"from_index":2745,"to_index":425,"sum":210193,"residue":917}],"minimal_cycle":[472,917,9,454,9,917],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":472,"start_interval_clock_positions":[425,889],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-426","shape":"Hexagon","alpha_indices":[426,890,1354,1818,2282,2746],"clock_positions":[426,890,1354,1818,2282,2746],"native_values":[320,143,783,606,783,143],"rotation_degrees":55.08620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[320,143,783,606,783,143],"beta":{"interval_sums":[224893,217272,217485,203845,211466,210327],"interval_residues":[801,588,801,125,338,125],"display_cycle":[801,588,801,125,338,125],"intervals":[{"from_index":426,"to_index":890,"sum":224893,"residue":801},{"from_index":890,"to_index":1354,"sum":217272,"residue":588},{"from_index":1354,"to_index":1818,"sum":217485,"residue":801},{"from_index":1818,"to_index":2282,"sum":203845,"residue":125},{"from_index":2282,"to_index":2746,"sum":211466,"residue":338},{"from_index":2746,"to_index":426,"sum":210327,"residue":125}],"minimal_cycle":[801,588,801,125,338,125],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":801,"start_interval_clock_positions":[426,890],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-427","shape":"Hexagon","alpha_indices":[427,891,1355,1819,2283,2747],"clock_positions":[427,891,1355,1819,2283,2747],"native_values":[597,792,597,329,134,329],"rotation_degrees":55.21551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,792,597,329,134,329],"beta":{"interval_sums":[224439,217263,217494,204299,211475,210318],"interval_residues":[347,579,810,579,347,116],"display_cycle":[347,579,810,579,347,116],"intervals":[{"from_index":427,"to_index":891,"sum":224439,"residue":347},{"from_index":891,"to_index":1355,"sum":217263,"residue":579},{"from_index":1355,"to_index":1819,"sum":217494,"residue":810},{"from_index":1819,"to_index":2283,"sum":204299,"residue":579},{"from_index":2283,"to_index":2747,"sum":211475,"residue":347},{"from_index":2747,"to_index":427,"sum":210318,"residue":116}],"minimal_cycle":[347,579,810,579,347,116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":347,"start_interval_clock_positions":[427,891],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-428","shape":"Hexagon","alpha_indices":[428,892,1356,1820,2284,2748],"clock_positions":[428,892,1356,1820,2284,2748],"native_values":[917,9,454,9,917,472],"rotation_degrees":55.3448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[917,9,454,9,917,472],"beta":{"interval_sums":[224314,217851,217369,204424,210887,210443],"interval_residues":[222,241,685,704,685,241],"display_cycle":[222,241,685,704,685,241],"intervals":[{"from_index":428,"to_index":892,"sum":224314,"residue":222},{"from_index":892,"to_index":1356,"sum":217851,"residue":241},{"from_index":1356,"to_index":1820,"sum":217369,"residue":685},{"from_index":1820,"to_index":2284,"sum":204424,"residue":704},{"from_index":2284,"to_index":2748,"sum":210887,"residue":685},{"from_index":2748,"to_index":428,"sum":210443,"residue":241}],"minimal_cycle":[222,241,685,704,685,241],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":222,"start_interval_clock_positions":[428,892],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-429","shape":"Hexagon","alpha_indices":[429,893,1357,1821,2285,2749],"clock_positions":[429,893,1357,1821,2285,2749],"native_values":[588,801,125,338,125,801],"rotation_degrees":55.474137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[588,801,125,338,125,801],"beta":{"interval_sums":[223735,217504,217253,205003,211234,210559],"interval_residues":[569,820,569,357,106,357],"display_cycle":[569,820,569,357,106,357],"intervals":[{"from_index":429,"to_index":893,"sum":223735,"residue":569},{"from_index":893,"to_index":1357,"sum":217504,"residue":820},{"from_index":1357,"to_index":1821,"sum":217253,"residue":569},{"from_index":1821,"to_index":2285,"sum":205003,"residue":357},{"from_index":2285,"to_index":2749,"sum":211234,"residue":106},{"from_index":2749,"to_index":429,"sum":210559,"residue":357}],"minimal_cycle":[569,820,569,357,106,357],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":569,"start_interval_clock_positions":[429,893],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-430","shape":"Hexagon","alpha_indices":[430,894,1358,1822,2286,2750],"clock_positions":[430,894,1358,1822,2286,2750],"native_values":[579,810,579,347,116,347],"rotation_degrees":55.60344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[579,810,579,347,116,347],"beta":{"interval_sums":[223957,216819,217012,204781,211919,210800],"interval_residues":[791,135,328,135,791,598],"display_cycle":[791,135,328,135,791,598],"intervals":[{"from_index":430,"to_index":894,"sum":223957,"residue":791},{"from_index":894,"to_index":1358,"sum":216819,"residue":135},{"from_index":1358,"to_index":1822,"sum":217012,"residue":328},{"from_index":1822,"to_index":2286,"sum":204781,"residue":135},{"from_index":2286,"to_index":2750,"sum":211919,"residue":791},{"from_index":2750,"to_index":430,"sum":210800,"residue":598}],"minimal_cycle":[791,135,328,135,791,598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":791,"start_interval_clock_positions":[430,894],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-431","shape":"Hexagon","alpha_indices":[431,895,1359,1823,2287,2751],"clock_positions":[431,895,1359,1823,2287,2751],"native_values":[241,685,704,685,241,222],"rotation_degrees":55.73275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,685,704,685,241,222],"beta":{"interval_sums":[224526,216713,216655,204212,212025,211157],"interval_residues":[434,29,897,492,897,29],"display_cycle":[434,29,897,492,897,29],"intervals":[{"from_index":431,"to_index":895,"sum":224526,"residue":434},{"from_index":895,"to_index":1359,"sum":216713,"residue":29},{"from_index":1359,"to_index":1823,"sum":216655,"residue":897},{"from_index":1823,"to_index":2287,"sum":204212,"residue":492},{"from_index":2287,"to_index":2751,"sum":212025,"residue":897},{"from_index":2751,"to_index":431,"sum":211157,"residue":29}],"minimal_cycle":[434,29,897,492,897,29],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[431,895],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-432","shape":"Hexagon","alpha_indices":[432,896,1360,1824,2288,2752],"clock_positions":[432,896,1360,1824,2288,2752],"native_values":[820,569,357,106,357,569],"rotation_degrees":55.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[820,569,357,106,357,569],"beta":{"interval_sums":[224391,216848,216983,204347,211890,210829],"interval_residues":[299,164,299,627,762,627],"display_cycle":[299,164,299,627,762,627],"intervals":[{"from_index":432,"to_index":896,"sum":224391,"residue":299},{"from_index":896,"to_index":1360,"sum":216848,"residue":164},{"from_index":1360,"to_index":1824,"sum":216983,"residue":299},{"from_index":1824,"to_index":2288,"sum":204347,"residue":627},{"from_index":2288,"to_index":2752,"sum":211890,"residue":762},{"from_index":2752,"to_index":432,"sum":210829,"residue":627}],"minimal_cycle":[299,164,299,627,762,627],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":299,"start_interval_clock_positions":[432,896],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-433","shape":"Hexagon","alpha_indices":[433,897,1361,1825,2289,2753],"clock_positions":[433,897,1361,1825,2289,2753],"native_values":[135,328,135,791,598,791],"rotation_degrees":55.991379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,328,135,791,598,791],"beta":{"interval_sums":[224825,216877,216954,203913,211861,210858],"interval_residues":[733,193,270,193,733,656],"display_cycle":[733,193,270,193,733,656],"intervals":[{"from_index":433,"to_index":897,"sum":224825,"residue":733},{"from_index":897,"to_index":1361,"sum":216877,"residue":193},{"from_index":1361,"to_index":1825,"sum":216954,"residue":270},{"from_index":1825,"to_index":2289,"sum":203913,"residue":193},{"from_index":2289,"to_index":2753,"sum":211861,"residue":733},{"from_index":2753,"to_index":433,"sum":210858,"residue":656}],"minimal_cycle":[733,193,270,193,733,656],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":733,"start_interval_clock_positions":[433,897],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-434","shape":"Hexagon","alpha_indices":[434,898,1362,1826,2290,2754],"clock_positions":[434,898,1362,1826,2290,2754],"native_values":[29,897,492,897,29,434],"rotation_degrees":56.12068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,897,492,897,29,434],"beta":{"interval_sums":[225124,216115,217253,203614,212623,210559],"interval_residues":[106,357,569,820,569,357],"display_cycle":[106,357,569,820,569,357],"intervals":[{"from_index":434,"to_index":898,"sum":225124,"residue":106},{"from_index":898,"to_index":1362,"sum":216115,"residue":357},{"from_index":1362,"to_index":1826,"sum":217253,"residue":569},{"from_index":1826,"to_index":2290,"sum":203614,"residue":820},{"from_index":2290,"to_index":2754,"sum":212623,"residue":569},{"from_index":2754,"to_index":434,"sum":210559,"residue":357}],"minimal_cycle":[106,357,569,820,569,357],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[434,898],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-435","shape":"Hexagon","alpha_indices":[435,899,1363,1827,2291,2755],"clock_positions":[435,899,1363,1827,2291,2755],"native_values":[164,299,627,762,627,299],"rotation_degrees":56.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[164,299,627,762,627,299],"beta":{"interval_sums":[225857,216308,217523,202881,212430,210289],"interval_residues":[839,550,839,87,376,87],"display_cycle":[839,550,839,87,376,87],"intervals":[{"from_index":435,"to_index":899,"sum":225857,"residue":839},{"from_index":899,"to_index":1363,"sum":216308,"residue":550},{"from_index":1363,"to_index":1827,"sum":217523,"residue":839},{"from_index":1827,"to_index":2291,"sum":202881,"residue":87},{"from_index":2291,"to_index":2755,"sum":212430,"residue":376},{"from_index":2755,"to_index":435,"sum":210289,"residue":87}],"minimal_cycle":[839,550,839,87,376,87],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":839,"start_interval_clock_positions":[435,899],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-436","shape":"Hexagon","alpha_indices":[436,900,1364,1828,2292,2756],"clock_positions":[436,900,1364,1828,2292,2756],"native_values":[193,270,193,733,656,733],"rotation_degrees":56.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,270,193,733,656,733],"beta":{"interval_sums":[225963,216665,218092,202775,212073,209720],"interval_residues":[19,907,482,907,19,444],"display_cycle":[19,907,482,907,19,444],"intervals":[{"from_index":436,"to_index":900,"sum":225963,"residue":19},{"from_index":900,"to_index":1364,"sum":216665,"residue":907},{"from_index":1364,"to_index":1828,"sum":218092,"residue":482},{"from_index":1828,"to_index":2292,"sum":202775,"residue":907},{"from_index":2292,"to_index":2756,"sum":212073,"residue":19},{"from_index":2756,"to_index":436,"sum":209720,"residue":444}],"minimal_cycle":[19,907,482,907,19,444],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":19,"start_interval_clock_positions":[436,900],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-437","shape":"Hexagon","alpha_indices":[437,901,1365,1829,2293,2757],"clock_positions":[437,901,1365,1829,2293,2757],"native_values":[357,569,820,569,357,106],"rotation_degrees":56.508620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,569,820,569,357,106],"beta":{"interval_sums":[225876,216289,218005,202862,212449,209807],"interval_residues":[858,531,395,68,395,531],"display_cycle":[858,531,395,68,395,531],"intervals":[{"from_index":437,"to_index":901,"sum":225876,"residue":858},{"from_index":901,"to_index":1365,"sum":216289,"residue":531},{"from_index":1365,"to_index":1829,"sum":218005,"residue":395},{"from_index":1829,"to_index":2293,"sum":202862,"residue":68},{"from_index":2293,"to_index":2757,"sum":212449,"residue":395},{"from_index":2757,"to_index":437,"sum":209807,"residue":531}],"minimal_cycle":[858,531,395,68,395,531],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":858,"start_interval_clock_positions":[437,901],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-438","shape":"Hexagon","alpha_indices":[438,902,1366,1830,2294,2758],"clock_positions":[438,902,1366,1830,2294,2758],"native_values":[550,839,87,376,87,839],"rotation_degrees":56.63793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[550,839,87,376,87,839],"beta":{"interval_sums":[225895,216270,218487,202843,212468,209325],"interval_residues":[877,512,877,49,414,49],"display_cycle":[877,512,877,49,414,49],"intervals":[{"from_index":438,"to_index":902,"sum":225895,"residue":877},{"from_index":902,"to_index":1366,"sum":216270,"residue":512},{"from_index":1366,"to_index":1830,"sum":218487,"residue":877},{"from_index":1830,"to_index":2294,"sum":202843,"residue":49},{"from_index":2294,"to_index":2758,"sum":212468,"residue":414},{"from_index":2758,"to_index":438,"sum":209325,"residue":49}],"minimal_cycle":[877,512,877,49,414,49],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":877,"start_interval_clock_positions":[438,902],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-439","shape":"Hexagon","alpha_indices":[439,903,1367,1831,2295,2759],"clock_positions":[439,903,1367,1831,2295,2759],"native_values":[907,482,907,19,444,19],"rotation_degrees":56.76724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[907,482,907,19,444,19],"beta":{"interval_sums":[225827,215875,217956,202911,212863,209856],"interval_residues":[809,117,346,117,809,580],"display_cycle":[809,117,346,117,809,580],"intervals":[{"from_index":439,"to_index":903,"sum":225827,"residue":809},{"from_index":903,"to_index":1367,"sum":215875,"residue":117},{"from_index":1367,"to_index":1831,"sum":217956,"residue":346},{"from_index":1831,"to_index":2295,"sum":202911,"residue":117},{"from_index":2295,"to_index":2759,"sum":212863,"residue":809},{"from_index":2759,"to_index":439,"sum":209856,"residue":580}],"minimal_cycle":[809,117,346,117,809,580],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":809,"start_interval_clock_positions":[439,903],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-440","shape":"Hexagon","alpha_indices":[440,904,1368,1832,2296,2760],"clock_positions":[440,904,1368,1832,2296,2760],"native_values":[531,395,68,395,531,858],"rotation_degrees":56.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[531,395,68,395,531,858],"beta":{"interval_sums":[225778,216387,217907,202960,212351,209905],"interval_residues":[760,629,297,166,297,629],"display_cycle":[760,629,297,166,297,629],"intervals":[{"from_index":440,"to_index":904,"sum":225778,"residue":760},{"from_index":904,"to_index":1368,"sum":216387,"residue":629},{"from_index":1368,"to_index":1832,"sum":217907,"residue":297},{"from_index":1832,"to_index":2296,"sum":202960,"residue":166},{"from_index":2296,"to_index":2760,"sum":212351,"residue":297},{"from_index":2760,"to_index":440,"sum":209905,"residue":629}],"minimal_cycle":[760,629,297,166,297,629],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":760,"start_interval_clock_positions":[440,904],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-441","shape":"Hexagon","alpha_indices":[441,905,1369,1833,2297,2761],"clock_positions":[441,905,1369,1833,2297,2761],"native_values":[512,877,49,414,49,877],"rotation_degrees":57.025862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[512,877,49,414,49,877],"beta":{"interval_sums":[225661,215578,218253,203077,213160,209559],"interval_residues":[643,746,643,283,180,283],"display_cycle":[643,746,643,283,180,283],"intervals":[{"from_index":441,"to_index":905,"sum":225661,"residue":643},{"from_index":905,"to_index":1369,"sum":215578,"residue":746},{"from_index":1369,"to_index":1833,"sum":218253,"residue":643},{"from_index":1833,"to_index":2297,"sum":203077,"residue":283},{"from_index":2297,"to_index":2761,"sum":213160,"residue":180},{"from_index":2761,"to_index":441,"sum":209559,"residue":283}],"minimal_cycle":[643,746,643,283,180,283],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":643,"start_interval_clock_positions":[441,905],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-442","shape":"Hexagon","alpha_indices":[442,906,1370,1834,2298,2762],"clock_positions":[442,906,1370,1834,2298,2762],"native_values":[117,346,117,809,580,809],"rotation_degrees":57.1551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,346,117,809,580,809],"beta":{"interval_sums":[226421,215281,218550,202317,213457,209262],"interval_residues":[477,449,14,449,477,912],"display_cycle":[477,449,14,449,477,912],"intervals":[{"from_index":442,"to_index":906,"sum":226421,"residue":477},{"from_index":906,"to_index":1370,"sum":215281,"residue":449},{"from_index":1370,"to_index":1834,"sum":218550,"residue":14},{"from_index":1834,"to_index":2298,"sum":202317,"residue":449},{"from_index":2298,"to_index":2762,"sum":213457,"residue":477},{"from_index":2762,"to_index":442,"sum":209262,"residue":912}],"minimal_cycle":[477,449,14,449,477,912],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":477,"start_interval_clock_positions":[442,906],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-443","shape":"Hexagon","alpha_indices":[443,907,1371,1835,2299,2763],"clock_positions":[443,907,1371,1835,2299,2763],"native_values":[629,297,166,297,629,760],"rotation_degrees":57.28448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[629,297,166,297,629,760],"beta":{"interval_sums":[226138,215101,219193,202600,213637,208619],"interval_residues":[194,269,657,732,657,269],"display_cycle":[194,269,657,732,657,269],"intervals":[{"from_index":443,"to_index":907,"sum":226138,"residue":194},{"from_index":907,"to_index":1371,"sum":215101,"residue":269},{"from_index":1371,"to_index":1835,"sum":219193,"residue":657},{"from_index":1835,"to_index":2299,"sum":202600,"residue":732},{"from_index":2299,"to_index":2763,"sum":213637,"residue":657},{"from_index":2763,"to_index":443,"sum":208619,"residue":269}],"minimal_cycle":[194,269,657,732,657,269],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[443,907],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-444","shape":"Hexagon","alpha_indices":[444,908,1372,1836,2300,2764],"clock_positions":[444,908,1372,1836,2300,2764],"native_values":[746,643,283,180,283,643],"rotation_degrees":57.41379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[746,643,283,180,283,643],"beta":{"interval_sums":[225689,214624,219207,203049,214114,208605],"interval_residues":[671,718,671,255,208,255],"display_cycle":[671,718,671,255,208,255],"intervals":[{"from_index":444,"to_index":908,"sum":225689,"residue":671},{"from_index":908,"to_index":1372,"sum":214624,"residue":718},{"from_index":1372,"to_index":1836,"sum":219207,"residue":671},{"from_index":1836,"to_index":2300,"sum":203049,"residue":255},{"from_index":2300,"to_index":2764,"sum":214114,"residue":208},{"from_index":2764,"to_index":444,"sum":208605,"residue":255}],"minimal_cycle":[671,718,671,255,208,255],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":671,"start_interval_clock_positions":[444,908],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-445","shape":"Hexagon","alpha_indices":[445,909,1373,1837,2301,2765],"clock_positions":[445,909,1373,1837,2301,2765],"native_values":[449,14,449,477,912,477],"rotation_degrees":57.543103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,14,449,477,912,477],"beta":{"interval_sums":[225883,214893,218938,202855,213845,208874],"interval_residues":[865,61,402,61,865,524],"display_cycle":[865,61,402,61,865,524],"intervals":[{"from_index":445,"to_index":909,"sum":225883,"residue":865},{"from_index":909,"to_index":1373,"sum":214893,"residue":61},{"from_index":1373,"to_index":1837,"sum":218938,"residue":402},{"from_index":1837,"to_index":2301,"sum":202855,"residue":61},{"from_index":2301,"to_index":2765,"sum":213845,"residue":865},{"from_index":2765,"to_index":445,"sum":208874,"residue":524}],"minimal_cycle":[865,61,402,61,865,524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":865,"start_interval_clock_positions":[445,909],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-446","shape":"Hexagon","alpha_indices":[446,910,1374,1838,2302,2766],"clock_positions":[446,910,1374,1838,2302,2766],"native_values":[269,657,732,657,269,194],"rotation_degrees":57.672413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[269,657,732,657,269,194],"beta":{"interval_sums":[225628,214685,218683,203110,214053,209129],"interval_residues":[610,779,147,316,147,779],"display_cycle":[610,779,147,316,147,779],"intervals":[{"from_index":446,"to_index":910,"sum":225628,"residue":610},{"from_index":910,"to_index":1374,"sum":214685,"residue":779},{"from_index":1374,"to_index":1838,"sum":218683,"residue":147},{"from_index":1838,"to_index":2302,"sum":203110,"residue":316},{"from_index":2302,"to_index":2766,"sum":214053,"residue":147},{"from_index":2766,"to_index":446,"sum":209129,"residue":779}],"minimal_cycle":[610,779,147,316,147,779],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[446,910],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-447","shape":"Hexagon","alpha_indices":[447,911,1375,1839,2303,2767],"clock_positions":[447,911,1375,1839,2303,2767],"native_values":[718,671,255,208,255,671],"rotation_degrees":57.80172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[718,671,255,208,255,671],"beta":{"interval_sums":[225567,214746,219085,203171,213992,208727],"interval_residues":[549,840,549,377,86,377],"display_cycle":[549,840,549,377,86,377],"intervals":[{"from_index":447,"to_index":911,"sum":225567,"residue":549},{"from_index":911,"to_index":1375,"sum":214746,"residue":840},{"from_index":1375,"to_index":1839,"sum":219085,"residue":549},{"from_index":1839,"to_index":2303,"sum":203171,"residue":377},{"from_index":2303,"to_index":2767,"sum":213992,"residue":86},{"from_index":2767,"to_index":447,"sum":208727,"residue":377}],"minimal_cycle":[549,840,549,377,86,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":549,"start_interval_clock_positions":[447,911],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-448","shape":"Hexagon","alpha_indices":[448,912,1376,1840,2304,2768],"clock_positions":[448,912,1376,1840,2304,2768],"native_values":[61,402,61,865,524,865],"rotation_degrees":57.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,402,61,865,524,865],"beta":{"interval_sums":[226177,214599,219232,202561,214139,208580],"interval_residues":[233,693,696,693,233,230],"display_cycle":[233,693,696,693,233,230],"intervals":[{"from_index":448,"to_index":912,"sum":226177,"residue":233},{"from_index":912,"to_index":1376,"sum":214599,"residue":693},{"from_index":1376,"to_index":1840,"sum":219232,"residue":696},{"from_index":1840,"to_index":2304,"sum":202561,"residue":693},{"from_index":2304,"to_index":2768,"sum":214139,"residue":233},{"from_index":2768,"to_index":448,"sum":208580,"residue":230}],"minimal_cycle":[233,693,696,693,233,230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":233,"start_interval_clock_positions":[448,912],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-449","shape":"Hexagon","alpha_indices":[449,913,1377,1841,2305,2769],"clock_positions":[449,913,1377,1841,2305,2769],"native_values":[779,147,316,147,779,610],"rotation_degrees":58.060344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[779,147,316,147,779,610],"beta":{"interval_sums":[225800,214513,219781,202938,214225,208031],"interval_residues":[782,607,319,144,319,607],"display_cycle":[782,607,319,144,319,607],"intervals":[{"from_index":449,"to_index":913,"sum":225800,"residue":782},{"from_index":913,"to_index":1377,"sum":214513,"residue":607},{"from_index":1377,"to_index":1841,"sum":219781,"residue":319},{"from_index":1841,"to_index":2305,"sum":202938,"residue":144},{"from_index":2305,"to_index":2769,"sum":214225,"residue":319},{"from_index":2769,"to_index":449,"sum":208031,"residue":607}],"minimal_cycle":[782,607,319,144,319,607],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":782,"start_interval_clock_positions":[449,913],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-450","shape":"Hexagon","alpha_indices":[450,914,1378,1842,2306,2770],"clock_positions":[450,914,1378,1842,2306,2770],"native_values":[840,549,377,86,377,549],"rotation_degrees":58.189655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[840,549,377,86,377,549],"beta":{"interval_sums":[225107,214280,219551,203631,214458,208261],"interval_residues":[89,374,89,837,552,837],"display_cycle":[89,374,89,837,552,837],"intervals":[{"from_index":450,"to_index":914,"sum":225107,"residue":89},{"from_index":914,"to_index":1378,"sum":214280,"residue":374},{"from_index":1378,"to_index":1842,"sum":219551,"residue":89},{"from_index":1842,"to_index":2306,"sum":203631,"residue":837},{"from_index":2306,"to_index":2770,"sum":214458,"residue":552},{"from_index":2770,"to_index":450,"sum":208261,"residue":837}],"minimal_cycle":[89,374,89,837,552,837],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[450,914],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-451","shape":"Hexagon","alpha_indices":[451,915,1379,1843,2307,2771],"clock_positions":[451,915,1379,1843,2307,2771],"native_values":[693,696,693,233,230,233],"rotation_degrees":58.31896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[693,696,693,233,230,233],"beta":{"interval_sums":[224963,213961,218944,203775,214777,208868],"interval_residues":[871,55,408,55,871,518],"display_cycle":[871,55,408,55,871,518],"intervals":[{"from_index":451,"to_index":915,"sum":224963,"residue":871},{"from_index":915,"to_index":1379,"sum":213961,"residue":55},{"from_index":1379,"to_index":1843,"sum":218944,"residue":408},{"from_index":1843,"to_index":2307,"sum":203775,"residue":55},{"from_index":2307,"to_index":2771,"sum":214777,"residue":871},{"from_index":2771,"to_index":451,"sum":208868,"residue":518}],"minimal_cycle":[871,55,408,55,871,518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":871,"start_interval_clock_positions":[451,915],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-452","shape":"Hexagon","alpha_indices":[452,916,1380,1844,2308,2772],"clock_positions":[452,916,1380,1844,2308,2772],"native_values":[607,319,144,319,607,782],"rotation_degrees":58.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[607,319,144,319,607,782],"beta":{"interval_sums":[225052,214335,219033,203686,214403,208779],"interval_residues":[34,429,497,892,497,429],"display_cycle":[34,429,497,892,497,429],"intervals":[{"from_index":452,"to_index":916,"sum":225052,"residue":34},{"from_index":916,"to_index":1380,"sum":214335,"residue":429},{"from_index":1380,"to_index":1844,"sum":219033,"residue":497},{"from_index":1844,"to_index":2308,"sum":203686,"residue":892},{"from_index":2308,"to_index":2772,"sum":214403,"residue":497},{"from_index":2772,"to_index":452,"sum":208779,"residue":429}],"minimal_cycle":[34,429,497,892,497,429],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[452,916],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-453","shape":"Hexagon","alpha_indices":[453,917,1381,1845,2309,2773],"clock_positions":[453,917,1381,1845,2309,2773],"native_values":[374,89,837,552,837,89],"rotation_degrees":58.577586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[374,89,837,552,837,89],"beta":{"interval_sums":[224997,214390,218515,203741,214348,209297],"interval_residues":[905,484,905,21,442,21],"display_cycle":[905,484,905,21,442,21],"intervals":[{"from_index":453,"to_index":917,"sum":224997,"residue":905},{"from_index":917,"to_index":1381,"sum":214390,"residue":484},{"from_index":1381,"to_index":1845,"sum":218515,"residue":905},{"from_index":1845,"to_index":2309,"sum":203741,"residue":21},{"from_index":2309,"to_index":2773,"sum":214348,"residue":442},{"from_index":2773,"to_index":453,"sum":209297,"residue":21}],"minimal_cycle":[905,484,905,21,442,21],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":905,"start_interval_clock_positions":[453,917],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-454","shape":"Hexagon","alpha_indices":[454,918,1382,1846,2310,2774],"clock_positions":[454,918,1382,1846,2310,2774],"native_values":[55,408,55,871,518,871],"rotation_degrees":58.706896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,408,55,871,518,871],"beta":{"interval_sums":[225031,214819,219012,203707,213919,208800],"interval_residues":[13,913,476,913,13,450],"display_cycle":[13,913,476,913,13,450],"intervals":[{"from_index":454,"to_index":918,"sum":225031,"residue":13},{"from_index":918,"to_index":1382,"sum":214819,"residue":913},{"from_index":1382,"to_index":1846,"sum":219012,"residue":476},{"from_index":1846,"to_index":2310,"sum":203707,"residue":913},{"from_index":2310,"to_index":2774,"sum":213919,"residue":13},{"from_index":2774,"to_index":454,"sum":208800,"residue":450}],"minimal_cycle":[13,913,476,913,13,450],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":13,"start_interval_clock_positions":[454,918],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-455","shape":"Hexagon","alpha_indices":[455,919,1383,1847,2311,2775],"clock_positions":[455,919,1383,1847,2311,2775],"native_values":[429,497,892,497,429,34],"rotation_degrees":58.83620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,497,892,497,429,34],"beta":{"interval_sums":[225010,214377,218991,203728,214361,208821],"interval_residues":[918,471,455,8,455,471],"display_cycle":[918,471,455,8,455,471],"intervals":[{"from_index":455,"to_index":919,"sum":225010,"residue":918},{"from_index":919,"to_index":1383,"sum":214377,"residue":471},{"from_index":1383,"to_index":1847,"sum":218991,"residue":455},{"from_index":1847,"to_index":2311,"sum":203728,"residue":8},{"from_index":2311,"to_index":2775,"sum":214361,"residue":455},{"from_index":2775,"to_index":455,"sum":208821,"residue":471}],"minimal_cycle":[918,471,455,8,455,471],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":918,"start_interval_clock_positions":[455,919],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-456","shape":"Hexagon","alpha_indices":[456,920,1384,1848,2312,2776],"clock_positions":[456,920,1384,1848,2312,2776],"native_values":[484,905,21,442,21,905],"rotation_degrees":58.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[484,905,21,442,21,905],"beta":{"interval_sums":[225023,214364,219467,203715,214374,208345],"interval_residues":[5,458,5,921,468,921],"display_cycle":[5,458,5,921,468,921],"intervals":[{"from_index":456,"to_index":920,"sum":225023,"residue":5},{"from_index":920,"to_index":1384,"sum":214364,"residue":458},{"from_index":1384,"to_index":1848,"sum":219467,"residue":5},{"from_index":1848,"to_index":2312,"sum":203715,"residue":921},{"from_index":2312,"to_index":2776,"sum":214374,"residue":468},{"from_index":2776,"to_index":456,"sum":208345,"residue":921}],"minimal_cycle":[5,458,5,921,468,921],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":5,"start_interval_clock_positions":[456,920],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-457","shape":"Hexagon","alpha_indices":[457,921,1385,1849,2313,2777],"clock_positions":[457,921,1385,1849,2313,2777],"native_values":[913,476,913,13,450,13],"rotation_degrees":59.0948275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[913,476,913,13,450,13],"beta":{"interval_sums":[225015,213909,218996,203723,214829,208816],"interval_residues":[923,3,460,3,923,466],"display_cycle":[923,3,460,3,923,466],"intervals":[{"from_index":457,"to_index":921,"sum":225015,"residue":923},{"from_index":921,"to_index":1385,"sum":213909,"residue":3},{"from_index":1385,"to_index":1849,"sum":218996,"residue":460},{"from_index":1849,"to_index":2313,"sum":203723,"residue":3},{"from_index":2313,"to_index":2777,"sum":214829,"residue":923},{"from_index":2777,"to_index":457,"sum":208816,"residue":466}],"minimal_cycle":[923,3,460,3,923,466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":923,"start_interval_clock_positions":[457,921],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-458","shape":"Hexagon","alpha_indices":[458,922,1386,1850,2314,2778],"clock_positions":[458,922,1386,1850,2314,2778],"native_values":[471,455,8,455,471,918],"rotation_degrees":59.224137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,455,8,455,471,918],"beta":{"interval_sums":[225020,214367,219001,203718,214371,208811],"interval_residues":[2,461,465,924,465,461],"display_cycle":[2,461,465,924,465,461],"intervals":[{"from_index":458,"to_index":922,"sum":225020,"residue":2},{"from_index":922,"to_index":1386,"sum":214367,"residue":461},{"from_index":1386,"to_index":1850,"sum":219001,"residue":465},{"from_index":1850,"to_index":2314,"sum":203718,"residue":924},{"from_index":2314,"to_index":2778,"sum":214371,"residue":465},{"from_index":2778,"to_index":458,"sum":208811,"residue":461}],"minimal_cycle":[2,461,465,924,465,461],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[458,922],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-459","shape":"Hexagon","alpha_indices":[459,923,1387,1851,2315,2779],"clock_positions":[459,923,1387,1851,2315,2779],"native_values":[458,5,921,468,921,5],"rotation_degrees":59.35344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[458,5,921,468,921,5],"beta":{"interval_sums":[225017,214370,218535,203721,214368,209277],"interval_residues":[925,464,925,1,462,1],"display_cycle":[925,464,925,1,462,1],"intervals":[{"from_index":459,"to_index":923,"sum":225017,"residue":925},{"from_index":923,"to_index":1387,"sum":214370,"residue":464},{"from_index":1387,"to_index":1851,"sum":218535,"residue":925},{"from_index":1851,"to_index":2315,"sum":203721,"residue":1},{"from_index":2315,"to_index":2779,"sum":214368,"residue":462},{"from_index":2779,"to_index":459,"sum":209277,"residue":1}],"minimal_cycle":[925,464,925,1,462,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":925,"start_interval_clock_positions":[459,923],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-460","shape":"Hexagon","alpha_indices":[460,924,1388,1852,2316,2780],"clock_positions":[460,924,1388,1852,2316,2780],"native_values":[3,460,3,923,466,923],"rotation_degrees":59.48275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,460,3,923,466,923],"beta":{"interval_sums":[225019,214831,219000,203719,213907,208812],"interval_residues":[1,925,464,925,1,462],"display_cycle":[1,925,464,925,1,462],"intervals":[{"from_index":460,"to_index":924,"sum":225019,"residue":1},{"from_index":924,"to_index":1388,"sum":214831,"residue":925},{"from_index":1388,"to_index":1852,"sum":219000,"residue":464},{"from_index":1852,"to_index":2316,"sum":203719,"residue":925},{"from_index":2316,"to_index":2780,"sum":213907,"residue":1},{"from_index":2780,"to_index":460,"sum":208812,"residue":462}],"minimal_cycle":[1,925,464,925,1,462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[460,924],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-461","shape":"Hexagon","alpha_indices":[461,925,1389,1853,2317,2781],"clock_positions":[461,925,1389,1853,2317,2781],"native_values":[461,465,924,465,461,2],"rotation_degrees":59.61206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,465,924,465,461,2],"beta":{"interval_sums":[225018,214369,218999,203720,214369,208813],"interval_residues":[0,463,463,0,463,463],"display_cycle":[926,463,463,926,463,463],"intervals":[{"from_index":461,"to_index":925,"sum":225018,"residue":0},{"from_index":925,"to_index":1389,"sum":214369,"residue":463},{"from_index":1389,"to_index":1853,"sum":218999,"residue":463},{"from_index":1853,"to_index":2317,"sum":203720,"residue":0},{"from_index":2317,"to_index":2781,"sum":214369,"residue":463},{"from_index":2781,"to_index":461,"sum":208813,"residue":463}],"minimal_cycle":[0,463,463],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":926,"start_interval_clock_positions":[461,925],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-462","shape":"Hexagon","alpha_indices":[462,926,1390,1854,2318,2782],"clock_positions":[462,926,1390,1854,2318,2782],"native_values":[464,925,1,462,1,925],"rotation_degrees":59.741379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[464,925,1,462,1,925],"beta":{"interval_sums":[225019,214368,219463,203719,214370,208349],"interval_residues":[1,462,1,925,464,925],"display_cycle":[1,462,1,925,464,925],"intervals":[{"from_index":462,"to_index":926,"sum":225019,"residue":1},{"from_index":926,"to_index":1390,"sum":214368,"residue":462},{"from_index":1390,"to_index":1854,"sum":219463,"residue":1},{"from_index":1854,"to_index":2318,"sum":203719,"residue":925},{"from_index":2318,"to_index":2782,"sum":214370,"residue":464},{"from_index":2782,"to_index":462,"sum":208349,"residue":925}],"minimal_cycle":[1,462,1,925,464,925],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[462,926],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-463","shape":"Hexagon","alpha_indices":[463,927,1391,1855,2319,2783],"clock_positions":[463,927,1391,1855,2319,2783],"native_values":[925,464,925,1,462,1],"rotation_degrees":59.87068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[925,464,925,1,462,1],"beta":{"interval_sums":[225019,213905,219000,203719,214833,208812],"interval_residues":[1,925,464,925,1,462],"display_cycle":[1,925,464,925,1,462],"intervals":[{"from_index":463,"to_index":927,"sum":225019,"residue":1},{"from_index":927,"to_index":1391,"sum":213905,"residue":925},{"from_index":1391,"to_index":1855,"sum":219000,"residue":464},{"from_index":1855,"to_index":2319,"sum":203719,"residue":925},{"from_index":2319,"to_index":2783,"sum":214833,"residue":1},{"from_index":2783,"to_index":463,"sum":208812,"residue":462}],"minimal_cycle":[1,925,464,925,1,462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[463,927],"circle_positions":926,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]}],"notable_gamma_patterns":[{"formation_id":"6-nodes-offset-0","shape":"Hexagon","values":[926,463,463,926,463,463],"rotation_degrees":0.0,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"}],"research":{"focus":"OXTR gene expression","biological_significance_status":"Not yet assessed","statistical_significance_status":"Not yet assessed","quantum_annealing_status":"Not yet performed","tiers":[{"name":"Creates cellular life","range":[8,10],"wss_score":null,"evidence":[]},{"name":"Supports cellular life","range":[5,7],"wss_score":null,"evidence":[]},{"name":"Creates elemental life","range":[1,4],"wss_score":null,"evidence":[]}],"background_literature":{"register_id":"oxtr-phase1-literature","register_version":"2026-10-18.1","register_file":"research-register.json","relationship":"background_context","scope":"Shared background literature for the initial OXTR research programme across M1–M1001. Studies of related mechanisms in other systems provide context for investigation.","publication_ids":["E01","E02","E03","E04","E05","E06","E07","E08","E09","E10","E11","E12","E13","E14"],"hero_publication_ids":["E03","E06","E08","E11"],"modulus_relevance_status":"Not yet assessed"}},"verification":{"python":"Passed","wolfram":"Passed","scope":"Native period, sequences, regular polygon index spacing and reference Epsilon routes; no physical or biological validation.","wolfram_scope":"Native Pisano period; complete Alpha, primary Gamma indices, Beta interval sums and residues, primary equilateral-triangle and hexagon indices. Independent integer Fibonacci evaluation and SHA-256 comparisons. Extended catalogue, Chevron and native/cycle-based Epsilon are Python-checked.","evidence":"m1001-verification.json"},"reduction_to_m9":{"version":"m9-reduction-v1","target_modulus":9,"status":"Outside divisible-by-nine family","applicable":false,"research_question":"Does the shared M9 pattern have shared biological relevance, or does native-modulus complexity change it? Unassessed: requires peer-reviewed evidence, in silico modelling (including proposed CUDA/CUDA-Q work), and appropriate experimental validation. No spatial-dimension claim or WSS score follows from this arithmetic match.","biological_significance":"Not yet assessed","native_data_preserved":true},"epsilon_m9_comparison":{"rule_version":"epsilon-m9-exact-v2","geometry_identical":true,"reduced_sequence_identical":false,"combined_eligible":false,"alpha_indices":[0,928,2320,1392,464,1856,0],"clock_positions":[2784,928,2320,1392,464,1856,2784],"native_values":[926,463,463,926,463,463,926],"reduced_m9_values":[9,4,4,9,4,4,9],"reference_values":[9,3,6,9,3,6,9],"normalized_route_sixths":[0,2,5,3,1,4,0],"orientation":"clockwise from north; fixed M9 route and starting phase","reason":"Reference geometry exists, but the reduced traversal does not equal 9–3–6–9–3–6–9.","scope":"Tests the fixed north-oriented M9 path on the full native period circle; does not fold the period or rotate/reverse the values to force a match."},"epsilon_assessment":{"rule_version":"native-epsilon-diagnostics-v1","native_369_present":false,"candidate_count":464,"candidates":[{"formation_id":"6-nodes-offset-0","alpha_indices":[0,464,928,1392,1856,2320],"clock_positions":[2784,464,928,1392,1856,2320],"native_values":[926,463,463,926,463,463],"rotation_degrees":0.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":0,"clock_position":2784,"value":926},{"alpha_index":464,"clock_position":464,"value":463},{"alpha_index":928,"clock_position":928,"value":463},{"alpha_index":1392,"clock_position":1392,"value":926},{"alpha_index":1856,"clock_position":1856,"value":463},{"alpha_index":2320,"clock_position":2320,"value":463}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-1","alpha_indices":[1,465,929,1393,1857,2321],"clock_positions":[1,465,929,1393,1857,2321],"native_values":[1,462,1,925,464,925],"rotation_degrees":0.12931034482758622,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":1,"clock_position":1,"value":1},{"alpha_index":465,"clock_position":465,"value":462},{"alpha_index":929,"clock_position":929,"value":1},{"alpha_index":1393,"clock_position":1393,"value":925},{"alpha_index":1857,"clock_position":1857,"value":464},{"alpha_index":2321,"clock_position":2321,"value":925}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-2","alpha_indices":[2,466,930,1394,1858,2322],"clock_positions":[2,466,930,1394,1858,2322],"native_values":[1,925,464,925,1,462],"rotation_degrees":0.25862068965517243,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":2,"clock_position":2,"value":1},{"alpha_index":466,"clock_position":466,"value":925},{"alpha_index":930,"clock_position":930,"value":464},{"alpha_index":1394,"clock_position":1394,"value":925},{"alpha_index":1858,"clock_position":1858,"value":1},{"alpha_index":2322,"clock_position":2322,"value":462}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-3","alpha_indices":[3,467,931,1395,1859,2323],"clock_positions":[3,467,931,1395,1859,2323],"native_values":[2,461,465,924,465,461],"rotation_degrees":0.3879310344827586,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":3,"clock_position":3,"value":2},{"alpha_index":467,"clock_position":467,"value":461},{"alpha_index":931,"clock_position":931,"value":465},{"alpha_index":1395,"clock_position":1395,"value":924},{"alpha_index":1859,"clock_position":1859,"value":465},{"alpha_index":2323,"clock_position":2323,"value":461}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-4","alpha_indices":[4,468,932,1396,1860,2324],"clock_positions":[4,468,932,1396,1860,2324],"native_values":[3,460,3,923,466,923],"rotation_degrees":0.5172413793103449,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":468,"clock_position":468,"value":460},{"alpha_index":1396,"clock_position":1396,"value":923},{"alpha_index":1860,"clock_position":1860,"value":466},{"alpha_index":2324,"clock_position":2324,"value":923}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-5","alpha_indices":[5,469,933,1397,1861,2325],"clock_positions":[5,469,933,1397,1861,2325],"native_values":[5,921,468,921,5,458],"rotation_degrees":0.646551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":5,"clock_position":5,"value":5},{"alpha_index":469,"clock_position":469,"value":921},{"alpha_index":933,"clock_position":933,"value":468},{"alpha_index":1397,"clock_position":1397,"value":921},{"alpha_index":1861,"clock_position":1861,"value":5},{"alpha_index":2325,"clock_position":2325,"value":458}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-6","alpha_indices":[6,470,934,1398,1862,2326],"clock_positions":[6,470,934,1398,1862,2326],"native_values":[8,455,471,918,471,455],"rotation_degrees":0.7758620689655172,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":6,"clock_position":6,"value":8},{"alpha_index":470,"clock_position":470,"value":455},{"alpha_index":934,"clock_position":934,"value":471},{"alpha_index":1398,"clock_position":1398,"value":918},{"alpha_index":1862,"clock_position":1862,"value":471},{"alpha_index":2326,"clock_position":2326,"value":455}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-7","alpha_indices":[7,471,935,1399,1863,2327],"clock_positions":[7,471,935,1399,1863,2327],"native_values":[13,450,13,913,476,913],"rotation_degrees":0.9051724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":7,"clock_position":7,"value":13},{"alpha_index":471,"clock_position":471,"value":450},{"alpha_index":935,"clock_position":935,"value":13},{"alpha_index":1399,"clock_position":1399,"value":913},{"alpha_index":1863,"clock_position":1863,"value":476},{"alpha_index":2327,"clock_position":2327,"value":913}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-8","alpha_indices":[8,472,936,1400,1864,2328],"clock_positions":[8,472,936,1400,1864,2328],"native_values":[21,905,484,905,21,442],"rotation_degrees":1.0344827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":8,"clock_position":8,"value":21},{"alpha_index":472,"clock_position":472,"value":905},{"alpha_index":936,"clock_position":936,"value":484},{"alpha_index":1400,"clock_position":1400,"value":905},{"alpha_index":1864,"clock_position":1864,"value":21},{"alpha_index":2328,"clock_position":2328,"value":442}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-9","alpha_indices":[9,473,937,1401,1865,2329],"clock_positions":[9,473,937,1401,1865,2329],"native_values":[34,429,497,892,497,429],"rotation_degrees":1.1637931034482758,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":9,"clock_position":9,"value":34},{"alpha_index":473,"clock_position":473,"value":429},{"alpha_index":937,"clock_position":937,"value":497},{"alpha_index":1401,"clock_position":1401,"value":892},{"alpha_index":1865,"clock_position":1865,"value":497},{"alpha_index":2329,"clock_position":2329,"value":429}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-10","alpha_indices":[10,474,938,1402,1866,2330],"clock_positions":[10,474,938,1402,1866,2330],"native_values":[55,408,55,871,518,871],"rotation_degrees":1.293103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":10,"clock_position":10,"value":55},{"alpha_index":474,"clock_position":474,"value":408},{"alpha_index":938,"clock_position":938,"value":55},{"alpha_index":1402,"clock_position":1402,"value":871},{"alpha_index":1866,"clock_position":1866,"value":518},{"alpha_index":2330,"clock_position":2330,"value":871}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-11","alpha_indices":[11,475,939,1403,1867,2331],"clock_positions":[11,475,939,1403,1867,2331],"native_values":[89,837,552,837,89,374],"rotation_degrees":1.4224137931034482,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":11,"clock_position":11,"value":89},{"alpha_index":475,"clock_position":475,"value":837},{"alpha_index":939,"clock_position":939,"value":552},{"alpha_index":1403,"clock_position":1403,"value":837},{"alpha_index":1867,"clock_position":1867,"value":89},{"alpha_index":2331,"clock_position":2331,"value":374}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-12","alpha_indices":[12,476,940,1404,1868,2332],"clock_positions":[12,476,940,1404,1868,2332],"native_values":[144,319,607,782,607,319],"rotation_degrees":1.5517241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":12,"clock_position":12,"value":144},{"alpha_index":476,"clock_position":476,"value":319},{"alpha_index":940,"clock_position":940,"value":607},{"alpha_index":1404,"clock_position":1404,"value":782},{"alpha_index":1868,"clock_position":1868,"value":607},{"alpha_index":2332,"clock_position":2332,"value":319}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-13","alpha_indices":[13,477,941,1405,1869,2333],"clock_positions":[13,477,941,1405,1869,2333],"native_values":[233,230,233,693,696,693],"rotation_degrees":1.6810344827586208,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":13,"clock_position":13,"value":233},{"alpha_index":477,"clock_position":477,"value":230},{"alpha_index":941,"clock_position":941,"value":233},{"alpha_index":1405,"clock_position":1405,"value":693},{"alpha_index":1869,"clock_position":1869,"value":696},{"alpha_index":2333,"clock_position":2333,"value":693}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-14","alpha_indices":[14,478,942,1406,1870,2334],"clock_positions":[14,478,942,1406,1870,2334],"native_values":[377,549,840,549,377,86],"rotation_degrees":1.8103448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":14,"clock_position":14,"value":377},{"alpha_index":478,"clock_position":478,"value":549},{"alpha_index":942,"clock_position":942,"value":840},{"alpha_index":1406,"clock_position":1406,"value":549},{"alpha_index":1870,"clock_position":1870,"value":377},{"alpha_index":2334,"clock_position":2334,"value":86}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-15","alpha_indices":[15,479,943,1407,1871,2335],"clock_positions":[15,479,943,1407,1871,2335],"native_values":[610,779,147,316,147,779],"rotation_degrees":1.9396551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":15,"clock_position":15,"value":610},{"alpha_index":479,"clock_position":479,"value":779},{"alpha_index":943,"clock_position":943,"value":147},{"alpha_index":1407,"clock_position":1407,"value":316},{"alpha_index":1871,"clock_position":1871,"value":147},{"alpha_index":2335,"clock_position":2335,"value":779}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-16","alpha_indices":[16,480,944,1408,1872,2336],"clock_positions":[16,480,944,1408,1872,2336],"native_values":[61,402,61,865,524,865],"rotation_degrees":2.0689655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":16,"clock_position":16,"value":61},{"alpha_index":480,"clock_position":480,"value":402},{"alpha_index":944,"clock_position":944,"value":61},{"alpha_index":1408,"clock_position":1408,"value":865},{"alpha_index":1872,"clock_position":1872,"value":524},{"alpha_index":2336,"clock_position":2336,"value":865}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-17","alpha_indices":[17,481,945,1409,1873,2337],"clock_positions":[17,481,945,1409,1873,2337],"native_values":[671,255,208,255,671,718],"rotation_degrees":2.1982758620689653,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":17,"clock_position":17,"value":671},{"alpha_index":481,"clock_position":481,"value":255},{"alpha_index":945,"clock_position":945,"value":208},{"alpha_index":1409,"clock_position":1409,"value":255},{"alpha_index":1873,"clock_position":1873,"value":671},{"alpha_index":2337,"clock_position":2337,"value":718}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-18","alpha_indices":[18,482,946,1410,1874,2338],"clock_positions":[18,482,946,1410,1874,2338],"native_values":[732,657,269,194,269,657],"rotation_degrees":2.3275862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":18,"clock_position":18,"value":732},{"alpha_index":482,"clock_position":482,"value":657},{"alpha_index":946,"clock_position":946,"value":269},{"alpha_index":1410,"clock_position":1410,"value":194},{"alpha_index":1874,"clock_position":1874,"value":269},{"alpha_index":2338,"clock_position":2338,"value":657}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-19","alpha_indices":[19,483,947,1411,1875,2339],"clock_positions":[19,483,947,1411,1875,2339],"native_values":[477,912,477,449,14,449],"rotation_degrees":2.456896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":19,"clock_position":19,"value":477},{"alpha_index":483,"clock_position":483,"value":912},{"alpha_index":947,"clock_position":947,"value":477},{"alpha_index":1411,"clock_position":1411,"value":449},{"alpha_index":1875,"clock_position":1875,"value":14},{"alpha_index":2339,"clock_position":2339,"value":449}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-20","alpha_indices":[20,484,948,1412,1876,2340],"clock_positions":[20,484,948,1412,1876,2340],"native_values":[283,643,746,643,283,180],"rotation_degrees":2.586206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":20,"clock_position":20,"value":283},{"alpha_index":484,"clock_position":484,"value":643},{"alpha_index":948,"clock_position":948,"value":746},{"alpha_index":1412,"clock_position":1412,"value":643},{"alpha_index":1876,"clock_position":1876,"value":283},{"alpha_index":2340,"clock_position":2340,"value":180}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-21","alpha_indices":[21,485,949,1413,1877,2341],"clock_positions":[21,485,949,1413,1877,2341],"native_values":[760,629,297,166,297,629],"rotation_degrees":2.7155172413793105,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":21,"clock_position":21,"value":760},{"alpha_index":485,"clock_position":485,"value":629},{"alpha_index":949,"clock_position":949,"value":297},{"alpha_index":1413,"clock_position":1413,"value":166},{"alpha_index":1877,"clock_position":1877,"value":297},{"alpha_index":2341,"clock_position":2341,"value":629}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-22","alpha_indices":[22,486,950,1414,1878,2342],"clock_positions":[22,486,950,1414,1878,2342],"native_values":[117,346,117,809,580,809],"rotation_degrees":2.8448275862068964,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":22,"clock_position":22,"value":117},{"alpha_index":486,"clock_position":486,"value":346},{"alpha_index":950,"clock_position":950,"value":117},{"alpha_index":1414,"clock_position":1414,"value":809},{"alpha_index":1878,"clock_position":1878,"value":580},{"alpha_index":2342,"clock_position":2342,"value":809}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-23","alpha_indices":[23,487,951,1415,1879,2343],"clock_positions":[23,487,951,1415,1879,2343],"native_values":[877,49,414,49,877,512],"rotation_degrees":2.9741379310344827,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":23,"clock_position":23,"value":877},{"alpha_index":487,"clock_position":487,"value":49},{"alpha_index":951,"clock_position":951,"value":414},{"alpha_index":1415,"clock_position":1415,"value":49},{"alpha_index":1879,"clock_position":1879,"value":877},{"alpha_index":2343,"clock_position":2343,"value":512}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-24","alpha_indices":[24,488,952,1416,1880,2344],"clock_positions":[24,488,952,1416,1880,2344],"native_values":[68,395,531,858,531,395],"rotation_degrees":3.103448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":24,"clock_position":24,"value":68},{"alpha_index":488,"clock_position":488,"value":395},{"alpha_index":952,"clock_position":952,"value":531},{"alpha_index":1416,"clock_position":1416,"value":858},{"alpha_index":1880,"clock_position":1880,"value":531},{"alpha_index":2344,"clock_position":2344,"value":395}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-25","alpha_indices":[25,489,953,1417,1881,2345],"clock_positions":[25,489,953,1417,1881,2345],"native_values":[19,444,19,907,482,907],"rotation_degrees":3.2327586206896552,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":25,"clock_position":25,"value":19},{"alpha_index":489,"clock_position":489,"value":444},{"alpha_index":953,"clock_position":953,"value":19},{"alpha_index":1417,"clock_position":1417,"value":907},{"alpha_index":1881,"clock_position":1881,"value":482},{"alpha_index":2345,"clock_position":2345,"value":907}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-26","alpha_indices":[26,490,954,1418,1882,2346],"clock_positions":[26,490,954,1418,1882,2346],"native_values":[87,839,550,839,87,376],"rotation_degrees":3.3620689655172415,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":26,"clock_position":26,"value":87},{"alpha_index":490,"clock_position":490,"value":839},{"alpha_index":954,"clock_position":954,"value":550},{"alpha_index":1418,"clock_position":1418,"value":839},{"alpha_index":1882,"clock_position":1882,"value":87},{"alpha_index":2346,"clock_position":2346,"value":376}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-27","alpha_indices":[27,491,955,1419,1883,2347],"clock_positions":[27,491,955,1419,1883,2347],"native_values":[106,357,569,820,569,357],"rotation_degrees":3.4913793103448274,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":27,"clock_position":27,"value":106},{"alpha_index":491,"clock_position":491,"value":357},{"alpha_index":955,"clock_position":955,"value":569},{"alpha_index":1419,"clock_position":1419,"value":820},{"alpha_index":1883,"clock_position":1883,"value":569},{"alpha_index":2347,"clock_position":2347,"value":357}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-28","alpha_indices":[28,492,956,1420,1884,2348],"clock_positions":[28,492,956,1420,1884,2348],"native_values":[193,270,193,733,656,733],"rotation_degrees":3.6206896551724137,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":28,"clock_position":28,"value":193},{"alpha_index":492,"clock_position":492,"value":270},{"alpha_index":956,"clock_position":956,"value":193},{"alpha_index":1420,"clock_position":1420,"value":733},{"alpha_index":1884,"clock_position":1884,"value":656},{"alpha_index":2348,"clock_position":2348,"value":733}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-29","alpha_indices":[29,493,957,1421,1885,2349],"clock_positions":[29,493,957,1421,1885,2349],"native_values":[299,627,762,627,299,164],"rotation_degrees":3.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":29,"clock_position":29,"value":299},{"alpha_index":493,"clock_position":493,"value":627},{"alpha_index":957,"clock_position":957,"value":762},{"alpha_index":1421,"clock_position":1421,"value":627},{"alpha_index":1885,"clock_position":1885,"value":299},{"alpha_index":2349,"clock_position":2349,"value":164}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-30","alpha_indices":[30,494,958,1422,1886,2350],"clock_positions":[30,494,958,1422,1886,2350],"native_values":[492,897,29,434,29,897],"rotation_degrees":3.8793103448275863,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":30,"clock_position":30,"value":492},{"alpha_index":494,"clock_position":494,"value":897},{"alpha_index":958,"clock_position":958,"value":29},{"alpha_index":1422,"clock_position":1422,"value":434},{"alpha_index":1886,"clock_position":1886,"value":29},{"alpha_index":2350,"clock_position":2350,"value":897}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-31","alpha_indices":[31,495,959,1423,1887,2351],"clock_positions":[31,495,959,1423,1887,2351],"native_values":[791,598,791,135,328,135],"rotation_degrees":4.008620689655173,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":31,"clock_position":31,"value":791},{"alpha_index":495,"clock_position":495,"value":598},{"alpha_index":959,"clock_position":959,"value":791},{"alpha_index":1423,"clock_position":1423,"value":135},{"alpha_index":1887,"clock_position":1887,"value":328},{"alpha_index":2351,"clock_position":2351,"value":135}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-32","alpha_indices":[32,496,960,1424,1888,2352],"clock_positions":[32,496,960,1424,1888,2352],"native_values":[357,569,820,569,357,106],"rotation_degrees":4.137931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":32,"clock_position":32,"value":357},{"alpha_index":496,"clock_position":496,"value":569},{"alpha_index":960,"clock_position":960,"value":820},{"alpha_index":1424,"clock_position":1424,"value":569},{"alpha_index":1888,"clock_position":1888,"value":357},{"alpha_index":2352,"clock_position":2352,"value":106}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-33","alpha_indices":[33,497,961,1425,1889,2353],"clock_positions":[33,497,961,1425,1889,2353],"native_values":[222,241,685,704,685,241],"rotation_degrees":4.267241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":33,"clock_position":33,"value":222},{"alpha_index":497,"clock_position":497,"value":241},{"alpha_index":961,"clock_position":961,"value":685},{"alpha_index":1425,"clock_position":1425,"value":704},{"alpha_index":1889,"clock_position":1889,"value":685},{"alpha_index":2353,"clock_position":2353,"value":241}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-34","alpha_indices":[34,498,962,1426,1890,2354],"clock_positions":[34,498,962,1426,1890,2354],"native_values":[579,810,579,347,116,347],"rotation_degrees":4.396551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":34,"clock_position":34,"value":579},{"alpha_index":498,"clock_position":498,"value":810},{"alpha_index":962,"clock_position":962,"value":579},{"alpha_index":1426,"clock_position":1426,"value":347},{"alpha_index":1890,"clock_position":1890,"value":116},{"alpha_index":2354,"clock_position":2354,"value":347}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-35","alpha_indices":[35,499,963,1427,1891,2355],"clock_positions":[35,499,963,1427,1891,2355],"native_values":[801,125,338,125,801,588],"rotation_degrees":4.525862068965517,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":35,"clock_position":35,"value":801},{"alpha_index":499,"clock_position":499,"value":125},{"alpha_index":963,"clock_position":963,"value":338},{"alpha_index":1427,"clock_position":1427,"value":125},{"alpha_index":1891,"clock_position":1891,"value":801},{"alpha_index":2355,"clock_position":2355,"value":588}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-36","alpha_indices":[36,500,964,1428,1892,2356],"clock_positions":[36,500,964,1428,1892,2356],"native_values":[454,9,917,472,917,9],"rotation_degrees":4.655172413793103,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":36,"clock_position":36,"value":454},{"alpha_index":964,"clock_position":964,"value":917},{"alpha_index":1428,"clock_position":1428,"value":472},{"alpha_index":1892,"clock_position":1892,"value":917}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-37","alpha_indices":[37,501,965,1429,1893,2357],"clock_positions":[37,501,965,1429,1893,2357],"native_values":[329,134,329,597,792,597],"rotation_degrees":4.7844827586206895,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":37,"clock_position":37,"value":329},{"alpha_index":501,"clock_position":501,"value":134},{"alpha_index":965,"clock_position":965,"value":329},{"alpha_index":1429,"clock_position":1429,"value":597},{"alpha_index":1893,"clock_position":1893,"value":792},{"alpha_index":2357,"clock_position":2357,"value":597}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-38","alpha_indices":[38,502,966,1430,1894,2358],"clock_positions":[38,502,966,1430,1894,2358],"native_values":[783,143,320,143,783,606],"rotation_degrees":4.913793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":38,"clock_position":38,"value":783},{"alpha_index":502,"clock_position":502,"value":143},{"alpha_index":966,"clock_position":966,"value":320},{"alpha_index":1430,"clock_position":1430,"value":143},{"alpha_index":1894,"clock_position":1894,"value":783},{"alpha_index":2358,"clock_position":2358,"value":606}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-39","alpha_indices":[39,503,967,1431,1895,2359],"clock_positions":[39,503,967,1431,1895,2359],"native_values":[186,277,649,740,649,277],"rotation_degrees":5.043103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":39,"clock_position":39,"value":186},{"alpha_index":503,"clock_position":503,"value":277},{"alpha_index":967,"clock_position":967,"value":649},{"alpha_index":1431,"clock_position":1431,"value":740},{"alpha_index":1895,"clock_position":1895,"value":649},{"alpha_index":2359,"clock_position":2359,"value":277}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-40","alpha_indices":[40,504,968,1432,1896,2360],"clock_positions":[40,504,968,1432,1896,2360],"native_values":[43,420,43,883,506,883],"rotation_degrees":5.172413793103448,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":40,"clock_position":40,"value":43},{"alpha_index":504,"clock_position":504,"value":420},{"alpha_index":968,"clock_position":968,"value":43},{"alpha_index":1432,"clock_position":1432,"value":883},{"alpha_index":1896,"clock_position":1896,"value":506},{"alpha_index":2360,"clock_position":2360,"value":883}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-41","alpha_indices":[41,505,969,1433,1897,2361],"clock_positions":[41,505,969,1433,1897,2361],"native_values":[229,697,692,697,229,234],"rotation_degrees":5.301724137931035,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":41,"clock_position":41,"value":229},{"alpha_index":505,"clock_position":505,"value":697},{"alpha_index":969,"clock_position":969,"value":692},{"alpha_index":1433,"clock_position":1433,"value":697},{"alpha_index":1897,"clock_position":1897,"value":229},{"alpha_index":2361,"clock_position":2361,"value":234}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-42","alpha_indices":[42,506,970,1434,1898,2362],"clock_positions":[42,506,970,1434,1898,2362],"native_values":[272,191,735,654,735,191],"rotation_degrees":5.431034482758621,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":42,"clock_position":42,"value":272},{"alpha_index":506,"clock_position":506,"value":191},{"alpha_index":970,"clock_position":970,"value":735},{"alpha_index":1434,"clock_position":1434,"value":654},{"alpha_index":1898,"clock_position":1898,"value":735},{"alpha_index":2362,"clock_position":2362,"value":191}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-43","alpha_indices":[43,507,971,1435,1899,2363],"clock_positions":[43,507,971,1435,1899,2363],"native_values":[501,888,501,425,38,425],"rotation_degrees":5.560344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":43,"clock_position":43,"value":501},{"alpha_index":507,"clock_position":507,"value":888},{"alpha_index":971,"clock_position":971,"value":501},{"alpha_index":1435,"clock_position":1435,"value":425},{"alpha_index":1899,"clock_position":1899,"value":38},{"alpha_index":2363,"clock_position":2363,"value":425}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-44","alpha_indices":[44,508,972,1436,1900,2364],"clock_positions":[44,508,972,1436,1900,2364],"native_values":[773,153,310,153,773,616],"rotation_degrees":5.689655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":44,"clock_position":44,"value":773},{"alpha_index":508,"clock_position":508,"value":153},{"alpha_index":972,"clock_position":972,"value":310},{"alpha_index":1436,"clock_position":1436,"value":153},{"alpha_index":1900,"clock_position":1900,"value":773},{"alpha_index":2364,"clock_position":2364,"value":616}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-45","alpha_indices":[45,509,973,1437,1901,2365],"clock_positions":[45,509,973,1437,1901,2365],"native_values":[348,115,811,578,811,115],"rotation_degrees":5.818965517241379,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":45,"clock_position":45,"value":348},{"alpha_index":509,"clock_position":509,"value":115},{"alpha_index":973,"clock_position":973,"value":811},{"alpha_index":1437,"clock_position":1437,"value":578},{"alpha_index":1901,"clock_position":1901,"value":811},{"alpha_index":2365,"clock_position":2365,"value":115}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-46","alpha_indices":[46,510,974,1438,1902,2366],"clock_positions":[46,510,974,1438,1902,2366],"native_values":[195,268,195,731,658,731],"rotation_degrees":5.948275862068965,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":46,"clock_position":46,"value":195},{"alpha_index":510,"clock_position":510,"value":268},{"alpha_index":974,"clock_position":974,"value":195},{"alpha_index":1438,"clock_position":1438,"value":731},{"alpha_index":1902,"clock_position":1902,"value":658},{"alpha_index":2366,"clock_position":2366,"value":731}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-47","alpha_indices":[47,511,975,1439,1903,2367],"clock_positions":[47,511,975,1439,1903,2367],"native_values":[543,383,80,383,543,846],"rotation_degrees":6.077586206896552,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":47,"clock_position":47,"value":543},{"alpha_index":511,"clock_position":511,"value":383},{"alpha_index":975,"clock_position":975,"value":80},{"alpha_index":1439,"clock_position":1439,"value":383},{"alpha_index":1903,"clock_position":1903,"value":543},{"alpha_index":2367,"clock_position":2367,"value":846}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-48","alpha_indices":[48,512,976,1440,1904,2368],"clock_positions":[48,512,976,1440,1904,2368],"native_values":[738,651,275,188,275,651],"rotation_degrees":6.206896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":48,"clock_position":48,"value":738},{"alpha_index":512,"clock_position":512,"value":651},{"alpha_index":976,"clock_position":976,"value":275},{"alpha_index":1440,"clock_position":1440,"value":188},{"alpha_index":1904,"clock_position":1904,"value":275},{"alpha_index":2368,"clock_position":2368,"value":651}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-49","alpha_indices":[49,513,977,1441,1905,2369],"clock_positions":[49,513,977,1441,1905,2369],"native_values":[355,108,355,571,818,571],"rotation_degrees":6.336206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":49,"clock_position":49,"value":355},{"alpha_index":513,"clock_position":513,"value":108},{"alpha_index":977,"clock_position":977,"value":355},{"alpha_index":1441,"clock_position":1441,"value":571},{"alpha_index":1905,"clock_position":1905,"value":818},{"alpha_index":2369,"clock_position":2369,"value":571}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-50","alpha_indices":[50,514,978,1442,1906,2370],"clock_positions":[50,514,978,1442,1906,2370],"native_values":[167,759,630,759,167,296],"rotation_degrees":6.4655172413793105,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":50,"clock_position":50,"value":167},{"alpha_index":514,"clock_position":514,"value":759},{"alpha_index":978,"clock_position":978,"value":630},{"alpha_index":1442,"clock_position":1442,"value":759},{"alpha_index":1906,"clock_position":1906,"value":167},{"alpha_index":2370,"clock_position":2370,"value":296}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-51","alpha_indices":[51,515,979,1443,1907,2371],"clock_positions":[51,515,979,1443,1907,2371],"native_values":[522,867,59,404,59,867],"rotation_degrees":6.594827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":51,"clock_position":51,"value":522},{"alpha_index":515,"clock_position":515,"value":867},{"alpha_index":979,"clock_position":979,"value":59},{"alpha_index":1443,"clock_position":1443,"value":404},{"alpha_index":1907,"clock_position":1907,"value":59},{"alpha_index":2371,"clock_position":2371,"value":867}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-52","alpha_indices":[52,516,980,1444,1908,2372],"clock_positions":[52,516,980,1444,1908,2372],"native_values":[689,700,689,237,226,237],"rotation_degrees":6.724137931034483,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":52,"clock_position":52,"value":689},{"alpha_index":516,"clock_position":516,"value":700},{"alpha_index":980,"clock_position":980,"value":689},{"alpha_index":1444,"clock_position":1444,"value":237},{"alpha_index":1908,"clock_position":1908,"value":226},{"alpha_index":2372,"clock_position":2372,"value":237}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-53","alpha_indices":[53,517,981,1445,1909,2373],"clock_positions":[53,517,981,1445,1909,2373],"native_values":[285,641,748,641,285,178],"rotation_degrees":6.853448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":53,"clock_position":53,"value":285},{"alpha_index":517,"clock_position":517,"value":641},{"alpha_index":981,"clock_position":981,"value":748},{"alpha_index":1445,"clock_position":1445,"value":641},{"alpha_index":1909,"clock_position":1909,"value":285},{"alpha_index":2373,"clock_position":2373,"value":178}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-54","alpha_indices":[54,518,982,1446,1910,2374],"clock_positions":[54,518,982,1446,1910,2374],"native_values":[48,415,511,878,511,415],"rotation_degrees":6.982758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":54,"clock_position":54,"value":48},{"alpha_index":518,"clock_position":518,"value":415},{"alpha_index":982,"clock_position":982,"value":511},{"alpha_index":1446,"clock_position":1446,"value":878},{"alpha_index":1910,"clock_position":1910,"value":511},{"alpha_index":2374,"clock_position":2374,"value":415}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-55","alpha_indices":[55,519,983,1447,1911,2375],"clock_positions":[55,519,983,1447,1911,2375],"native_values":[333,130,333,593,796,593],"rotation_degrees":7.112068965517241,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":55,"clock_position":55,"value":333},{"alpha_index":519,"clock_position":519,"value":130},{"alpha_index":983,"clock_position":983,"value":333},{"alpha_index":1447,"clock_position":1447,"value":593},{"alpha_index":1911,"clock_position":1911,"value":796},{"alpha_index":2375,"clock_position":2375,"value":593}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-56","alpha_indices":[56,520,984,1448,1912,2376],"clock_positions":[56,520,984,1448,1912,2376],"native_values":[381,545,844,545,381,82],"rotation_degrees":7.241379310344827,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":56,"clock_position":56,"value":381},{"alpha_index":520,"clock_position":520,"value":545},{"alpha_index":984,"clock_position":984,"value":844},{"alpha_index":1448,"clock_position":1448,"value":545},{"alpha_index":1912,"clock_position":1912,"value":381},{"alpha_index":2376,"clock_position":2376,"value":82}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-57","alpha_indices":[57,521,985,1449,1913,2377],"clock_positions":[57,521,985,1449,1913,2377],"native_values":[714,675,251,212,251,675],"rotation_degrees":7.370689655172414,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":57,"clock_position":57,"value":714},{"alpha_index":521,"clock_position":521,"value":675},{"alpha_index":985,"clock_position":985,"value":251},{"alpha_index":1449,"clock_position":1449,"value":212},{"alpha_index":1913,"clock_position":1913,"value":251},{"alpha_index":2377,"clock_position":2377,"value":675}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-58","alpha_indices":[58,522,986,1450,1914,2378],"clock_positions":[58,522,986,1450,1914,2378],"native_values":[169,294,169,757,632,757],"rotation_degrees":7.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":58,"clock_position":58,"value":169},{"alpha_index":522,"clock_position":522,"value":294},{"alpha_index":986,"clock_position":986,"value":169},{"alpha_index":1450,"clock_position":1450,"value":757},{"alpha_index":1914,"clock_position":1914,"value":632},{"alpha_index":2378,"clock_position":2378,"value":757}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-59","alpha_indices":[59,523,987,1451,1915,2379],"clock_positions":[59,523,987,1451,1915,2379],"native_values":[883,43,420,43,883,506],"rotation_degrees":7.629310344827586,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":59,"clock_position":59,"value":883},{"alpha_index":523,"clock_position":523,"value":43},{"alpha_index":987,"clock_position":987,"value":420},{"alpha_index":1451,"clock_position":1451,"value":43},{"alpha_index":1915,"clock_position":1915,"value":883},{"alpha_index":2379,"clock_position":2379,"value":506}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-60","alpha_indices":[60,524,988,1452,1916,2380],"clock_positions":[60,524,988,1452,1916,2380],"native_values":[126,337,589,800,589,337],"rotation_degrees":7.758620689655173,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":60,"clock_position":60,"value":126},{"alpha_index":524,"clock_position":524,"value":337},{"alpha_index":988,"clock_position":988,"value":589},{"alpha_index":1452,"clock_position":1452,"value":800},{"alpha_index":1916,"clock_position":1916,"value":589},{"alpha_index":2380,"clock_position":2380,"value":337}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-61","alpha_indices":[61,525,989,1453,1917,2381],"clock_positions":[61,525,989,1453,1917,2381],"native_values":[83,380,83,843,546,843],"rotation_degrees":7.887931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":61,"clock_position":61,"value":83},{"alpha_index":525,"clock_position":525,"value":380},{"alpha_index":989,"clock_position":989,"value":83},{"alpha_index":1453,"clock_position":1453,"value":843},{"alpha_index":1917,"clock_position":1917,"value":546},{"alpha_index":2381,"clock_position":2381,"value":843}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-62","alpha_indices":[62,526,990,1454,1918,2382],"clock_positions":[62,526,990,1454,1918,2382],"native_values":[209,717,672,717,209,254],"rotation_degrees":8.017241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":62,"clock_position":62,"value":209},{"alpha_index":526,"clock_position":526,"value":717},{"alpha_index":990,"clock_position":990,"value":672},{"alpha_index":1454,"clock_position":1454,"value":717},{"alpha_index":1918,"clock_position":1918,"value":209},{"alpha_index":2382,"clock_position":2382,"value":254}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-63","alpha_indices":[63,527,991,1455,1919,2383],"clock_positions":[63,527,991,1455,1919,2383],"native_values":[292,171,755,634,755,171],"rotation_degrees":8.14655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":63,"clock_position":63,"value":292},{"alpha_index":527,"clock_position":527,"value":171},{"alpha_index":991,"clock_position":991,"value":755},{"alpha_index":1455,"clock_position":1455,"value":634},{"alpha_index":1919,"clock_position":1919,"value":755},{"alpha_index":2383,"clock_position":2383,"value":171}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-64","alpha_indices":[64,528,992,1456,1920,2384],"clock_positions":[64,528,992,1456,1920,2384],"native_values":[501,888,501,425,38,425],"rotation_degrees":8.275862068965518,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":64,"clock_position":64,"value":501},{"alpha_index":528,"clock_position":528,"value":888},{"alpha_index":992,"clock_position":992,"value":501},{"alpha_index":1456,"clock_position":1456,"value":425},{"alpha_index":1920,"clock_position":1920,"value":38},{"alpha_index":2384,"clock_position":2384,"value":425}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-65","alpha_indices":[65,529,993,1457,1921,2385],"clock_positions":[65,529,993,1457,1921,2385],"native_values":[793,133,330,133,793,596],"rotation_degrees":8.405172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":65,"clock_position":65,"value":793},{"alpha_index":529,"clock_position":529,"value":133},{"alpha_index":993,"clock_position":993,"value":330},{"alpha_index":1457,"clock_position":1457,"value":133},{"alpha_index":1921,"clock_position":1921,"value":793},{"alpha_index":2385,"clock_position":2385,"value":596}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-66","alpha_indices":[66,530,994,1458,1922,2386],"clock_positions":[66,530,994,1458,1922,2386],"native_values":[368,95,831,558,831,95],"rotation_degrees":8.53448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":66,"clock_position":66,"value":368},{"alpha_index":530,"clock_position":530,"value":95},{"alpha_index":994,"clock_position":994,"value":831},{"alpha_index":1458,"clock_position":1458,"value":558},{"alpha_index":1922,"clock_position":1922,"value":831},{"alpha_index":2386,"clock_position":2386,"value":95}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-67","alpha_indices":[67,531,995,1459,1923,2387],"clock_positions":[67,531,995,1459,1923,2387],"native_values":[235,228,235,691,698,691],"rotation_degrees":8.663793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":67,"clock_position":67,"value":235},{"alpha_index":531,"clock_position":531,"value":228},{"alpha_index":995,"clock_position":995,"value":235},{"alpha_index":1459,"clock_position":1459,"value":691},{"alpha_index":1923,"clock_position":1923,"value":698},{"alpha_index":2387,"clock_position":2387,"value":691}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-68","alpha_indices":[68,532,996,1460,1924,2388],"clock_positions":[68,532,996,1460,1924,2388],"native_values":[603,323,140,323,603,786],"rotation_degrees":8.793103448275861,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":68,"clock_position":68,"value":603},{"alpha_index":532,"clock_position":532,"value":323},{"alpha_index":996,"clock_position":996,"value":140},{"alpha_index":1460,"clock_position":1460,"value":323},{"alpha_index":1924,"clock_position":1924,"value":603},{"alpha_index":2388,"clock_position":2388,"value":786}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-69","alpha_indices":[69,533,997,1461,1925,2389],"clock_positions":[69,533,997,1461,1925,2389],"native_values":[838,551,375,88,375,551],"rotation_degrees":8.922413793103448,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":69,"clock_position":69,"value":838},{"alpha_index":533,"clock_position":533,"value":551},{"alpha_index":997,"clock_position":997,"value":375},{"alpha_index":1461,"clock_position":1461,"value":88},{"alpha_index":1925,"clock_position":1925,"value":375},{"alpha_index":2389,"clock_position":2389,"value":551}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-70","alpha_indices":[70,534,998,1462,1926,2390],"clock_positions":[70,534,998,1462,1926,2390],"native_values":[515,874,515,411,52,411],"rotation_degrees":9.051724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":70,"clock_position":70,"value":515},{"alpha_index":534,"clock_position":534,"value":874},{"alpha_index":998,"clock_position":998,"value":515},{"alpha_index":1462,"clock_position":1462,"value":411},{"alpha_index":1926,"clock_position":1926,"value":52},{"alpha_index":2390,"clock_position":2390,"value":411}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-71","alpha_indices":[71,535,999,1463,1927,2391],"clock_positions":[71,535,999,1463,1927,2391],"native_values":[427,499,890,499,427,36],"rotation_degrees":9.181034482758621,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":71,"clock_position":71,"value":427},{"alpha_index":535,"clock_position":535,"value":499},{"alpha_index":999,"clock_position":999,"value":890},{"alpha_index":1463,"clock_position":1463,"value":499},{"alpha_index":1927,"clock_position":1927,"value":427},{"alpha_index":2391,"clock_position":2391,"value":36}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-72","alpha_indices":[72,536,1000,1464,1928,2392],"clock_positions":[72,536,1000,1464,1928,2392],"native_values":[16,447,479,910,479,447],"rotation_degrees":9.310344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":72,"clock_position":72,"value":16},{"alpha_index":536,"clock_position":536,"value":447},{"alpha_index":1000,"clock_position":1000,"value":479},{"alpha_index":1464,"clock_position":1464,"value":910},{"alpha_index":1928,"clock_position":1928,"value":479},{"alpha_index":2392,"clock_position":2392,"value":447}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-73","alpha_indices":[73,537,1001,1465,1929,2393],"clock_positions":[73,537,1001,1465,1929,2393],"native_values":[443,20,443,483,906,483],"rotation_degrees":9.439655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":73,"clock_position":73,"value":443},{"alpha_index":537,"clock_position":537,"value":20},{"alpha_index":1001,"clock_position":1001,"value":443},{"alpha_index":1465,"clock_position":1465,"value":483},{"alpha_index":1929,"clock_position":1929,"value":906},{"alpha_index":2393,"clock_position":2393,"value":483}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-74","alpha_indices":[74,538,1002,1466,1930,2394],"clock_positions":[74,538,1002,1466,1930,2394],"native_values":[459,467,922,467,459,4],"rotation_degrees":9.568965517241379,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":74,"clock_position":74,"value":459},{"alpha_index":538,"clock_position":538,"value":467},{"alpha_index":1002,"clock_position":1002,"value":922},{"alpha_index":1466,"clock_position":1466,"value":467},{"alpha_index":1930,"clock_position":1930,"value":459},{"alpha_index":2394,"clock_position":2394,"value":4}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-75","alpha_indices":[75,539,1003,1467,1931,2395],"clock_positions":[75,539,1003,1467,1931,2395],"native_values":[902,487,439,24,439,487],"rotation_degrees":9.698275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":75,"clock_position":75,"value":902},{"alpha_index":539,"clock_position":539,"value":487},{"alpha_index":1003,"clock_position":1003,"value":439},{"alpha_index":1467,"clock_position":1467,"value":24},{"alpha_index":1931,"clock_position":1931,"value":439},{"alpha_index":2395,"clock_position":2395,"value":487}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-76","alpha_indices":[76,540,1004,1468,1932,2396],"clock_positions":[76,540,1004,1468,1932,2396],"native_values":[435,28,435,491,898,491],"rotation_degrees":9.827586206896552,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":76,"clock_position":76,"value":435},{"alpha_index":540,"clock_position":540,"value":28},{"alpha_index":1004,"clock_position":1004,"value":435},{"alpha_index":1468,"clock_position":1468,"value":491},{"alpha_index":1932,"clock_position":1932,"value":898},{"alpha_index":2396,"clock_position":2396,"value":491}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-77","alpha_indices":[77,541,1005,1469,1933,2397],"clock_positions":[77,541,1005,1469,1933,2397],"native_values":[411,515,874,515,411,52],"rotation_degrees":9.956896551724139,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":77,"clock_position":77,"value":411},{"alpha_index":541,"clock_position":541,"value":515},{"alpha_index":1005,"clock_position":1005,"value":874},{"alpha_index":1469,"clock_position":1469,"value":515},{"alpha_index":1933,"clock_position":1933,"value":411},{"alpha_index":2397,"clock_position":2397,"value":52}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-78","alpha_indices":[78,542,1006,1470,1934,2398],"clock_positions":[78,542,1006,1470,1934,2398],"native_values":[846,543,383,80,383,543],"rotation_degrees":10.086206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":78,"clock_position":78,"value":846},{"alpha_index":542,"clock_position":542,"value":543},{"alpha_index":1006,"clock_position":1006,"value":383},{"alpha_index":1470,"clock_position":1470,"value":80},{"alpha_index":1934,"clock_position":1934,"value":383},{"alpha_index":2398,"clock_position":2398,"value":543}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-79","alpha_indices":[79,543,1007,1471,1935,2399],"clock_positions":[79,543,1007,1471,1935,2399],"native_values":[331,132,331,595,794,595],"rotation_degrees":10.21551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":79,"clock_position":79,"value":331},{"alpha_index":543,"clock_position":543,"value":132},{"alpha_index":1007,"clock_position":1007,"value":331},{"alpha_index":1471,"clock_position":1471,"value":595},{"alpha_index":1935,"clock_position":1935,"value":794},{"alpha_index":2399,"clock_position":2399,"value":595}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-80","alpha_indices":[80,544,1008,1472,1936,2400],"clock_positions":[80,544,1008,1472,1936,2400],"native_values":[251,675,714,675,251,212],"rotation_degrees":10.344827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":80,"clock_position":80,"value":251},{"alpha_index":544,"clock_position":544,"value":675},{"alpha_index":1008,"clock_position":1008,"value":714},{"alpha_index":1472,"clock_position":1472,"value":675},{"alpha_index":1936,"clock_position":1936,"value":251},{"alpha_index":2400,"clock_position":2400,"value":212}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-81","alpha_indices":[81,545,1009,1473,1937,2401],"clock_positions":[81,545,1009,1473,1937,2401],"native_values":[582,807,119,344,119,807],"rotation_degrees":10.474137931034482,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":81,"clock_position":81,"value":582},{"alpha_index":545,"clock_position":545,"value":807},{"alpha_index":1009,"clock_position":1009,"value":119},{"alpha_index":1473,"clock_position":1473,"value":344},{"alpha_index":1937,"clock_position":1937,"value":119},{"alpha_index":2401,"clock_position":2401,"value":807}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-82","alpha_indices":[82,546,1010,1474,1938,2402],"clock_positions":[82,546,1010,1474,1938,2402],"native_values":[833,556,833,93,370,93],"rotation_degrees":10.60344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":82,"clock_position":82,"value":833},{"alpha_index":546,"clock_position":546,"value":556},{"alpha_index":1010,"clock_position":1010,"value":833},{"alpha_index":1474,"clock_position":1474,"value":93},{"alpha_index":1938,"clock_position":1938,"value":370},{"alpha_index":2402,"clock_position":2402,"value":93}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-83","alpha_indices":[83,547,1011,1475,1939,2403],"clock_positions":[83,547,1011,1475,1939,2403],"native_values":[489,437,26,437,489,900],"rotation_degrees":10.732758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":83,"clock_position":83,"value":489},{"alpha_index":547,"clock_position":547,"value":437},{"alpha_index":1011,"clock_position":1011,"value":26},{"alpha_index":1475,"clock_position":1475,"value":437},{"alpha_index":1939,"clock_position":1939,"value":489},{"alpha_index":2403,"clock_position":2403,"value":900}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-84","alpha_indices":[84,548,1012,1476,1940,2404],"clock_positions":[84,548,1012,1476,1940,2404],"native_values":[396,67,859,530,859,67],"rotation_degrees":10.862068965517242,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":84,"clock_position":84,"value":396},{"alpha_index":548,"clock_position":548,"value":67},{"alpha_index":1012,"clock_position":1012,"value":859},{"alpha_index":1476,"clock_position":1476,"value":530},{"alpha_index":1940,"clock_position":1940,"value":859},{"alpha_index":2404,"clock_position":2404,"value":67}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-85","alpha_indices":[85,549,1013,1477,1941,2405],"clock_positions":[85,549,1013,1477,1941,2405],"native_values":[885,504,885,41,422,41],"rotation_degrees":10.991379310344827,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":85,"clock_position":85,"value":885},{"alpha_index":549,"clock_position":549,"value":504},{"alpha_index":1013,"clock_position":1013,"value":885},{"alpha_index":1477,"clock_position":1477,"value":41},{"alpha_index":1941,"clock_position":1941,"value":422},{"alpha_index":2405,"clock_position":2405,"value":41}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-86","alpha_indices":[86,550,1014,1478,1942,2406],"clock_positions":[86,550,1014,1478,1942,2406],"native_values":[355,571,818,571,355,108],"rotation_degrees":11.120689655172415,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":86,"clock_position":86,"value":355},{"alpha_index":550,"clock_position":550,"value":571},{"alpha_index":1014,"clock_position":1014,"value":818},{"alpha_index":1478,"clock_position":1478,"value":571},{"alpha_index":1942,"clock_position":1942,"value":355},{"alpha_index":2406,"clock_position":2406,"value":108}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-87","alpha_indices":[87,551,1015,1479,1943,2407],"clock_positions":[87,551,1015,1479,1943,2407],"native_values":[314,149,777,612,777,149],"rotation_degrees":11.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":87,"clock_position":87,"value":314},{"alpha_index":551,"clock_position":551,"value":149},{"alpha_index":1015,"clock_position":1015,"value":777},{"alpha_index":1479,"clock_position":1479,"value":612},{"alpha_index":1943,"clock_position":1943,"value":777},{"alpha_index":2407,"clock_position":2407,"value":149}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-88","alpha_indices":[88,552,1016,1480,1944,2408],"clock_positions":[88,552,1016,1480,1944,2408],"native_values":[669,720,669,257,206,257],"rotation_degrees":11.379310344827585,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":88,"clock_position":88,"value":669},{"alpha_index":552,"clock_position":552,"value":720},{"alpha_index":1016,"clock_position":1016,"value":669},{"alpha_index":1480,"clock_position":1480,"value":257},{"alpha_index":1944,"clock_position":1944,"value":206},{"alpha_index":2408,"clock_position":2408,"value":257}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-89","alpha_indices":[89,553,1017,1481,1945,2409],"clock_positions":[89,553,1017,1481,1945,2409],"native_values":[57,869,520,869,57,406],"rotation_degrees":11.508620689655173,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":89,"clock_position":89,"value":57},{"alpha_index":553,"clock_position":553,"value":869},{"alpha_index":1017,"clock_position":1017,"value":520},{"alpha_index":1481,"clock_position":1481,"value":869},{"alpha_index":1945,"clock_position":1945,"value":57},{"alpha_index":2409,"clock_position":2409,"value":406}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-90","alpha_indices":[90,554,1018,1482,1946,2410],"clock_positions":[90,554,1018,1482,1946,2410],"native_values":[726,663,263,200,263,663],"rotation_degrees":11.637931034482758,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":90,"clock_position":90,"value":726},{"alpha_index":554,"clock_position":554,"value":663},{"alpha_index":1018,"clock_position":1018,"value":263},{"alpha_index":1482,"clock_position":1482,"value":200},{"alpha_index":1946,"clock_position":1946,"value":263},{"alpha_index":2410,"clock_position":2410,"value":663}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-91","alpha_indices":[91,555,1019,1483,1947,2411],"clock_positions":[91,555,1019,1483,1947,2411],"native_values":[783,606,783,143,320,143],"rotation_degrees":11.767241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":91,"clock_position":91,"value":783},{"alpha_index":555,"clock_position":555,"value":606},{"alpha_index":1019,"clock_position":1019,"value":783},{"alpha_index":1483,"clock_position":1483,"value":143},{"alpha_index":1947,"clock_position":1947,"value":320},{"alpha_index":2411,"clock_position":2411,"value":143}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-92","alpha_indices":[92,556,1020,1484,1948,2412],"clock_positions":[92,556,1020,1484,1948,2412],"native_values":[583,343,120,343,583,806],"rotation_degrees":11.89655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":92,"clock_position":92,"value":583},{"alpha_index":556,"clock_position":556,"value":343},{"alpha_index":1020,"clock_position":1020,"value":120},{"alpha_index":1484,"clock_position":1484,"value":343},{"alpha_index":1948,"clock_position":1948,"value":583},{"alpha_index":2412,"clock_position":2412,"value":806}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-93","alpha_indices":[93,557,1021,1485,1949,2413],"clock_positions":[93,557,1021,1485,1949,2413],"native_values":[440,23,903,486,903,23],"rotation_degrees":12.025862068965518,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":93,"clock_position":93,"value":440},{"alpha_index":557,"clock_position":557,"value":23},{"alpha_index":1021,"clock_position":1021,"value":903},{"alpha_index":1485,"clock_position":1485,"value":486},{"alpha_index":1949,"clock_position":1949,"value":903},{"alpha_index":2413,"clock_position":2413,"value":23}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-94","alpha_indices":[94,558,1022,1486,1950,2414],"clock_positions":[94,558,1022,1486,1950,2414],"native_values":[97,366,97,829,560,829],"rotation_degrees":12.155172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":94,"clock_position":94,"value":97},{"alpha_index":558,"clock_position":558,"value":366},{"alpha_index":1022,"clock_position":1022,"value":97},{"alpha_index":1486,"clock_position":1486,"value":829},{"alpha_index":1950,"clock_position":1950,"value":560},{"alpha_index":2414,"clock_position":2414,"value":829}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-95","alpha_indices":[95,559,1023,1487,1951,2415],"clock_positions":[95,559,1023,1487,1951,2415],"native_values":[537,389,74,389,537,852],"rotation_degrees":12.28448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":95,"clock_position":95,"value":537},{"alpha_index":559,"clock_position":559,"value":389},{"alpha_index":1023,"clock_position":1023,"value":74},{"alpha_index":1487,"clock_position":1487,"value":389},{"alpha_index":1951,"clock_position":1951,"value":537},{"alpha_index":2415,"clock_position":2415,"value":852}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-96","alpha_indices":[96,560,1024,1488,1952,2416],"clock_positions":[96,560,1024,1488,1952,2416],"native_values":[634,755,171,292,171,755],"rotation_degrees":12.413793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":96,"clock_position":96,"value":634},{"alpha_index":560,"clock_position":560,"value":755},{"alpha_index":1024,"clock_position":1024,"value":171},{"alpha_index":1488,"clock_position":1488,"value":292},{"alpha_index":1952,"clock_position":1952,"value":171},{"alpha_index":2416,"clock_position":2416,"value":755}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-97","alpha_indices":[97,561,1025,1489,1953,2417],"clock_positions":[97,561,1025,1489,1953,2417],"native_values":[245,218,245,681,708,681],"rotation_degrees":12.543103448275861,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":97,"clock_position":97,"value":245},{"alpha_index":561,"clock_position":561,"value":218},{"alpha_index":1025,"clock_position":1025,"value":245},{"alpha_index":1489,"clock_position":1489,"value":681},{"alpha_index":1953,"clock_position":1953,"value":708},{"alpha_index":2417,"clock_position":2417,"value":681}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-98","alpha_indices":[98,562,1026,1490,1954,2418],"clock_positions":[98,562,1026,1490,1954,2418],"native_values":[879,47,416,47,879,510],"rotation_degrees":12.672413793103448,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":98,"clock_position":98,"value":879},{"alpha_index":562,"clock_position":562,"value":47},{"alpha_index":1026,"clock_position":1026,"value":416},{"alpha_index":1490,"clock_position":1490,"value":47},{"alpha_index":1954,"clock_position":1954,"value":879},{"alpha_index":2418,"clock_position":2418,"value":510}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-99","alpha_indices":[99,563,1027,1491,1955,2419],"clock_positions":[99,563,1027,1491,1955,2419],"native_values":[198,265,661,728,661,265],"rotation_degrees":12.801724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":99,"clock_position":99,"value":198},{"alpha_index":563,"clock_position":563,"value":265},{"alpha_index":1027,"clock_position":1027,"value":661},{"alpha_index":1491,"clock_position":1491,"value":728},{"alpha_index":1955,"clock_position":1955,"value":661},{"alpha_index":2419,"clock_position":2419,"value":265}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-100","alpha_indices":[100,564,1028,1492,1956,2420],"clock_positions":[100,564,1028,1492,1956,2420],"native_values":[151,312,151,775,614,775],"rotation_degrees":12.931034482758621,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":100,"clock_position":100,"value":151},{"alpha_index":564,"clock_position":564,"value":312},{"alpha_index":1028,"clock_position":1028,"value":151},{"alpha_index":1492,"clock_position":1492,"value":775},{"alpha_index":1956,"clock_position":1956,"value":614},{"alpha_index":2420,"clock_position":2420,"value":775}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-101","alpha_indices":[101,565,1029,1493,1957,2421],"clock_positions":[101,565,1029,1493,1957,2421],"native_values":[349,577,812,577,349,114],"rotation_degrees":13.060344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":101,"clock_position":101,"value":349},{"alpha_index":565,"clock_position":565,"value":577},{"alpha_index":1029,"clock_position":1029,"value":812},{"alpha_index":1493,"clock_position":1493,"value":577},{"alpha_index":1957,"clock_position":1957,"value":349},{"alpha_index":2421,"clock_position":2421,"value":114}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-102","alpha_indices":[102,566,1030,1494,1958,2422],"clock_positions":[102,566,1030,1494,1958,2422],"native_values":[500,889,37,426,37,889],"rotation_degrees":13.189655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":102,"clock_position":102,"value":500},{"alpha_index":566,"clock_position":566,"value":889},{"alpha_index":1030,"clock_position":1030,"value":37},{"alpha_index":1494,"clock_position":1494,"value":426},{"alpha_index":1958,"clock_position":1958,"value":37},{"alpha_index":2422,"clock_position":2422,"value":889}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-103","alpha_indices":[103,567,1031,1495,1959,2423],"clock_positions":[103,567,1031,1495,1959,2423],"native_values":[849,540,849,77,386,77],"rotation_degrees":13.318965517241379,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":103,"clock_position":103,"value":849},{"alpha_index":567,"clock_position":567,"value":540},{"alpha_index":1031,"clock_position":1031,"value":849},{"alpha_index":1495,"clock_position":1495,"value":77},{"alpha_index":1959,"clock_position":1959,"value":386},{"alpha_index":2423,"clock_position":2423,"value":77}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-104","alpha_indices":[104,568,1032,1496,1960,2424],"clock_positions":[104,568,1032,1496,1960,2424],"native_values":[423,503,886,503,423,40],"rotation_degrees":13.448275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":104,"clock_position":104,"value":423},{"alpha_index":568,"clock_position":568,"value":503},{"alpha_index":1032,"clock_position":1032,"value":886},{"alpha_index":1496,"clock_position":1496,"value":503},{"alpha_index":1960,"clock_position":1960,"value":423},{"alpha_index":2424,"clock_position":2424,"value":40}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-105","alpha_indices":[105,569,1033,1497,1961,2425],"clock_positions":[105,569,1033,1497,1961,2425],"native_values":[346,117,809,580,809,117],"rotation_degrees":13.577586206896552,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":105,"clock_position":105,"value":346},{"alpha_index":569,"clock_position":569,"value":117},{"alpha_index":1033,"clock_position":1033,"value":809},{"alpha_index":1497,"clock_position":1497,"value":580},{"alpha_index":1961,"clock_position":1961,"value":809},{"alpha_index":2425,"clock_position":2425,"value":117}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-106","alpha_indices":[106,570,1034,1498,1962,2426],"clock_positions":[106,570,1034,1498,1962,2426],"native_values":[769,620,769,157,306,157],"rotation_degrees":13.706896551724139,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":106,"clock_position":106,"value":769},{"alpha_index":570,"clock_position":570,"value":620},{"alpha_index":1034,"clock_position":1034,"value":769},{"alpha_index":1498,"clock_position":1498,"value":157},{"alpha_index":1962,"clock_position":1962,"value":306},{"alpha_index":2426,"clock_position":2426,"value":157}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-107","alpha_indices":[107,571,1035,1499,1963,2427],"clock_positions":[107,571,1035,1499,1963,2427],"native_values":[189,737,652,737,189,274],"rotation_degrees":13.836206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":107,"clock_position":107,"value":189},{"alpha_index":571,"clock_position":571,"value":737},{"alpha_index":1035,"clock_position":1035,"value":652},{"alpha_index":1499,"clock_position":1499,"value":737},{"alpha_index":1963,"clock_position":1963,"value":189},{"alpha_index":2427,"clock_position":2427,"value":274}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-108","alpha_indices":[108,572,1036,1500,1964,2428],"clock_positions":[108,572,1036,1500,1964,2428],"native_values":[32,431,495,894,495,431],"rotation_degrees":13.96551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":108,"clock_position":108,"value":32},{"alpha_index":572,"clock_position":572,"value":431},{"alpha_index":1036,"clock_position":1036,"value":495},{"alpha_index":1500,"clock_position":1500,"value":894},{"alpha_index":1964,"clock_position":1964,"value":495},{"alpha_index":2428,"clock_position":2428,"value":431}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-109","alpha_indices":[109,573,1037,1501,1965,2429],"clock_positions":[109,573,1037,1501,1965,2429],"native_values":[221,242,221,705,684,705],"rotation_degrees":14.094827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":109,"clock_position":109,"value":221},{"alpha_index":573,"clock_position":573,"value":242},{"alpha_index":1037,"clock_position":1037,"value":221},{"alpha_index":1501,"clock_position":1501,"value":705},{"alpha_index":1965,"clock_position":1965,"value":684},{"alpha_index":2429,"clock_position":2429,"value":705}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-110","alpha_indices":[110,574,1038,1502,1966,2430],"clock_positions":[110,574,1038,1502,1966,2430],"native_values":[253,673,716,673,253,210],"rotation_degrees":14.224137931034482,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":110,"clock_position":110,"value":253},{"alpha_index":574,"clock_position":574,"value":673},{"alpha_index":1038,"clock_position":1038,"value":716},{"alpha_index":1502,"clock_position":1502,"value":673},{"alpha_index":1966,"clock_position":1966,"value":253},{"alpha_index":2430,"clock_position":2430,"value":210}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-111","alpha_indices":[111,575,1039,1503,1967,2431],"clock_positions":[111,575,1039,1503,1967,2431],"native_values":[474,915,11,452,11,915],"rotation_degrees":14.35344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":111,"clock_position":111,"value":474},{"alpha_index":575,"clock_position":575,"value":915},{"alpha_index":1039,"clock_position":1039,"value":11},{"alpha_index":1503,"clock_position":1503,"value":452},{"alpha_index":1967,"clock_position":1967,"value":11},{"alpha_index":2431,"clock_position":2431,"value":915}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-112","alpha_indices":[112,576,1040,1504,1968,2432],"clock_positions":[112,576,1040,1504,1968,2432],"native_values":[727,662,727,199,264,199],"rotation_degrees":14.482758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":112,"clock_position":112,"value":727},{"alpha_index":576,"clock_position":576,"value":662},{"alpha_index":1040,"clock_position":1040,"value":727},{"alpha_index":1504,"clock_position":1504,"value":199},{"alpha_index":1968,"clock_position":1968,"value":264},{"alpha_index":2432,"clock_position":2432,"value":199}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-113","alpha_indices":[113,577,1041,1505,1969,2433],"clock_positions":[113,577,1041,1505,1969,2433],"native_values":[275,651,738,651,275,188],"rotation_degrees":14.612068965517242,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":113,"clock_position":113,"value":275},{"alpha_index":577,"clock_position":577,"value":651},{"alpha_index":1041,"clock_position":1041,"value":738},{"alpha_index":1505,"clock_position":1505,"value":651},{"alpha_index":1969,"clock_position":1969,"value":275},{"alpha_index":2433,"clock_position":2433,"value":188}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-114","alpha_indices":[114,578,1042,1506,1970,2434],"clock_positions":[114,578,1042,1506,1970,2434],"native_values":[76,387,539,850,539,387],"rotation_degrees":14.741379310344827,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":114,"clock_position":114,"value":76},{"alpha_index":578,"clock_position":578,"value":387},{"alpha_index":1042,"clock_position":1042,"value":539},{"alpha_index":1506,"clock_position":1506,"value":850},{"alpha_index":1970,"clock_position":1970,"value":539},{"alpha_index":2434,"clock_position":2434,"value":387}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-115","alpha_indices":[115,579,1043,1507,1971,2435],"clock_positions":[115,579,1043,1507,1971,2435],"native_values":[351,112,351,575,814,575],"rotation_degrees":14.870689655172415,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":115,"clock_position":115,"value":351},{"alpha_index":579,"clock_position":579,"value":112},{"alpha_index":1043,"clock_position":1043,"value":351},{"alpha_index":1507,"clock_position":1507,"value":575},{"alpha_index":1971,"clock_position":1971,"value":814},{"alpha_index":2435,"clock_position":2435,"value":575}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-116","alpha_indices":[116,580,1044,1508,1972,2436],"clock_positions":[116,580,1044,1508,1972,2436],"native_values":[427,499,890,499,427,36],"rotation_degrees":15.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":116,"clock_position":116,"value":427},{"alpha_index":580,"clock_position":580,"value":499},{"alpha_index":1044,"clock_position":1044,"value":890},{"alpha_index":1508,"clock_position":1508,"value":499},{"alpha_index":1972,"clock_position":1972,"value":427},{"alpha_index":2436,"clock_position":2436,"value":36}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-117","alpha_indices":[117,581,1045,1509,1973,2437],"clock_positions":[117,581,1045,1509,1973,2437],"native_values":[778,611,315,148,315,611],"rotation_degrees":15.129310344827585,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":117,"clock_position":117,"value":778},{"alpha_index":581,"clock_position":581,"value":611},{"alpha_index":1045,"clock_position":1045,"value":315},{"alpha_index":1509,"clock_position":1509,"value":148},{"alpha_index":1973,"clock_position":1973,"value":315},{"alpha_index":2437,"clock_position":2437,"value":611}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-118","alpha_indices":[118,582,1046,1510,1974,2438],"clock_positions":[118,582,1046,1510,1974,2438],"native_values":[279,184,279,647,742,647],"rotation_degrees":15.258620689655173,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":118,"clock_position":118,"value":279},{"alpha_index":582,"clock_position":582,"value":184},{"alpha_index":1046,"clock_position":1046,"value":279},{"alpha_index":1510,"clock_position":1510,"value":647},{"alpha_index":1974,"clock_position":1974,"value":742},{"alpha_index":2438,"clock_position":2438,"value":647}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-119","alpha_indices":[119,583,1047,1511,1975,2439],"clock_positions":[119,583,1047,1511,1975,2439],"native_values":[131,795,594,795,131,332],"rotation_degrees":15.387931034482758,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":119,"clock_position":119,"value":131},{"alpha_index":583,"clock_position":583,"value":795},{"alpha_index":1047,"clock_position":1047,"value":594},{"alpha_index":1511,"clock_position":1511,"value":795},{"alpha_index":1975,"clock_position":1975,"value":131},{"alpha_index":2439,"clock_position":2439,"value":332}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-120","alpha_indices":[120,584,1048,1512,1976,2440],"clock_positions":[120,584,1048,1512,1976,2440],"native_values":[410,53,873,516,873,53],"rotation_degrees":15.517241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":120,"clock_position":120,"value":410},{"alpha_index":584,"clock_position":584,"value":53},{"alpha_index":1048,"clock_position":1048,"value":873},{"alpha_index":1512,"clock_position":1512,"value":516},{"alpha_index":1976,"clock_position":1976,"value":873},{"alpha_index":2440,"clock_position":2440,"value":53}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-121","alpha_indices":[121,585,1049,1513,1977,2441],"clock_positions":[121,585,1049,1513,1977,2441],"native_values":[541,848,541,385,78,385],"rotation_degrees":15.64655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":121,"clock_position":121,"value":541},{"alpha_index":585,"clock_position":585,"value":848},{"alpha_index":1049,"clock_position":1049,"value":541},{"alpha_index":1513,"clock_position":1513,"value":385},{"alpha_index":1977,"clock_position":1977,"value":78},{"alpha_index":2441,"clock_position":2441,"value":385}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-122","alpha_indices":[122,586,1050,1514,1978,2442],"clock_positions":[122,586,1050,1514,1978,2442],"native_values":[25,901,488,901,25,438],"rotation_degrees":15.775862068965518,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":122,"clock_position":122,"value":25},{"alpha_index":586,"clock_position":586,"value":901},{"alpha_index":1050,"clock_position":1050,"value":488},{"alpha_index":1514,"clock_position":1514,"value":901},{"alpha_index":1978,"clock_position":1978,"value":25},{"alpha_index":2442,"clock_position":2442,"value":438}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-123","alpha_indices":[123,587,1051,1515,1979,2443],"clock_positions":[123,587,1051,1515,1979,2443],"native_values":[566,823,103,360,103,823],"rotation_degrees":15.905172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":123,"clock_position":123,"value":566},{"alpha_index":587,"clock_position":587,"value":823},{"alpha_index":1051,"clock_position":1051,"value":103},{"alpha_index":1515,"clock_position":1515,"value":360},{"alpha_index":1979,"clock_position":1979,"value":103},{"alpha_index":2443,"clock_position":2443,"value":823}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-124","alpha_indices":[124,588,1052,1516,1980,2444],"clock_positions":[124,588,1052,1516,1980,2444],"native_values":[591,798,591,335,128,335],"rotation_degrees":16.03448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":124,"clock_position":124,"value":591},{"alpha_index":588,"clock_position":588,"value":798},{"alpha_index":1052,"clock_position":1052,"value":591},{"alpha_index":1516,"clock_position":1516,"value":335},{"alpha_index":1980,"clock_position":1980,"value":128},{"alpha_index":2444,"clock_position":2444,"value":335}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-125","alpha_indices":[125,589,1053,1517,1981,2445],"clock_positions":[125,589,1053,1517,1981,2445],"native_values":[231,695,694,695,231,232],"rotation_degrees":16.163793103448278,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":125,"clock_position":125,"value":231},{"alpha_index":589,"clock_position":589,"value":695},{"alpha_index":1053,"clock_position":1053,"value":694},{"alpha_index":1517,"clock_position":1517,"value":695},{"alpha_index":1981,"clock_position":1981,"value":231},{"alpha_index":2445,"clock_position":2445,"value":232}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-126","alpha_indices":[126,590,1054,1518,1982,2446],"clock_positions":[126,590,1054,1518,1982,2446],"native_values":[822,567,359,104,359,567],"rotation_degrees":16.29310344827586,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":126,"clock_position":126,"value":822},{"alpha_index":590,"clock_position":590,"value":567},{"alpha_index":1054,"clock_position":1054,"value":359},{"alpha_index":1518,"clock_position":1518,"value":104},{"alpha_index":1982,"clock_position":1982,"value":359},{"alpha_index":2446,"clock_position":2446,"value":567}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-127","alpha_indices":[127,591,1055,1519,1983,2447],"clock_positions":[127,591,1055,1519,1983,2447],"native_values":[127,336,127,799,590,799],"rotation_degrees":16.42241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":127,"clock_position":127,"value":127},{"alpha_index":591,"clock_position":591,"value":336},{"alpha_index":1055,"clock_position":1055,"value":127},{"alpha_index":1519,"clock_position":1519,"value":799},{"alpha_index":1983,"clock_position":1983,"value":590},{"alpha_index":2447,"clock_position":2447,"value":799}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-128","alpha_indices":[128,592,1056,1520,1984,2448],"clock_positions":[128,592,1056,1520,1984,2448],"native_values":[23,903,486,903,23,440],"rotation_degrees":16.551724137931036,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":128,"clock_position":128,"value":23},{"alpha_index":592,"clock_position":592,"value":903},{"alpha_index":1056,"clock_position":1056,"value":486},{"alpha_index":1520,"clock_position":1520,"value":903},{"alpha_index":1984,"clock_position":1984,"value":23},{"alpha_index":2448,"clock_position":2448,"value":440}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-129","alpha_indices":[129,593,1057,1521,1985,2449],"clock_positions":[129,593,1057,1521,1985,2449],"native_values":[150,313,613,776,613,313],"rotation_degrees":16.68103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":129,"clock_position":129,"value":150},{"alpha_index":593,"clock_position":593,"value":313},{"alpha_index":1057,"clock_position":1057,"value":613},{"alpha_index":1521,"clock_position":1521,"value":776},{"alpha_index":1985,"clock_position":1985,"value":613},{"alpha_index":2449,"clock_position":2449,"value":313}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-130","alpha_indices":[130,594,1058,1522,1986,2450],"clock_positions":[130,594,1058,1522,1986,2450],"native_values":[173,290,173,753,636,753],"rotation_degrees":16.810344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":130,"clock_position":130,"value":173},{"alpha_index":594,"clock_position":594,"value":290},{"alpha_index":1058,"clock_position":1058,"value":173},{"alpha_index":1522,"clock_position":1522,"value":753},{"alpha_index":1986,"clock_position":1986,"value":636},{"alpha_index":2450,"clock_position":2450,"value":753}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-131","alpha_indices":[131,595,1059,1523,1987,2451],"clock_positions":[131,595,1059,1523,1987,2451],"native_values":[323,603,786,603,323,140],"rotation_degrees":16.939655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":131,"clock_position":131,"value":323},{"alpha_index":595,"clock_position":595,"value":603},{"alpha_index":1059,"clock_position":1059,"value":786},{"alpha_index":1523,"clock_position":1523,"value":603},{"alpha_index":1987,"clock_position":1987,"value":323},{"alpha_index":2451,"clock_position":2451,"value":140}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-132","alpha_indices":[132,596,1060,1524,1988,2452],"clock_positions":[132,596,1060,1524,1988,2452],"native_values":[496,893,33,430,33,893],"rotation_degrees":17.06896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":132,"clock_position":132,"value":496},{"alpha_index":596,"clock_position":596,"value":893},{"alpha_index":1060,"clock_position":1060,"value":33},{"alpha_index":1524,"clock_position":1524,"value":430},{"alpha_index":1988,"clock_position":1988,"value":33},{"alpha_index":2452,"clock_position":2452,"value":893}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-133","alpha_indices":[133,597,1061,1525,1989,2453],"clock_positions":[133,597,1061,1525,1989,2453],"native_values":[819,570,819,107,356,107],"rotation_degrees":17.198275862068964,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":133,"clock_position":133,"value":819},{"alpha_index":597,"clock_position":597,"value":570},{"alpha_index":1061,"clock_position":1061,"value":819},{"alpha_index":1525,"clock_position":1525,"value":107},{"alpha_index":1989,"clock_position":1989,"value":356},{"alpha_index":2453,"clock_position":2453,"value":107}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-134","alpha_indices":[134,598,1062,1526,1990,2454],"clock_positions":[134,598,1062,1526,1990,2454],"native_values":[389,537,852,537,389,74],"rotation_degrees":17.32758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":134,"clock_position":134,"value":389},{"alpha_index":598,"clock_position":598,"value":537},{"alpha_index":1062,"clock_position":1062,"value":852},{"alpha_index":1526,"clock_position":1526,"value":537},{"alpha_index":1990,"clock_position":1990,"value":389},{"alpha_index":2454,"clock_position":2454,"value":74}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-135","alpha_indices":[135,599,1063,1527,1991,2455],"clock_positions":[135,599,1063,1527,1991,2455],"native_values":[282,181,745,644,745,181],"rotation_degrees":17.45689655172414,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":135,"clock_position":135,"value":282},{"alpha_index":599,"clock_position":599,"value":181},{"alpha_index":1063,"clock_position":1063,"value":745},{"alpha_index":1527,"clock_position":1527,"value":644},{"alpha_index":1991,"clock_position":1991,"value":745},{"alpha_index":2455,"clock_position":2455,"value":181}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-136","alpha_indices":[136,600,1064,1528,1992,2456],"clock_positions":[136,600,1064,1528,1992,2456],"native_values":[671,718,671,255,208,255],"rotation_degrees":17.586206896551722,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":136,"clock_position":136,"value":671},{"alpha_index":600,"clock_position":600,"value":718},{"alpha_index":1064,"clock_position":1064,"value":671},{"alpha_index":1528,"clock_position":1528,"value":255},{"alpha_index":1992,"clock_position":1992,"value":208},{"alpha_index":2456,"clock_position":2456,"value":255}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-137","alpha_indices":[137,601,1065,1529,1993,2457],"clock_positions":[137,601,1065,1529,1993,2457],"native_values":[27,899,490,899,27,436],"rotation_degrees":17.71551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":137,"clock_position":137,"value":27},{"alpha_index":601,"clock_position":601,"value":899},{"alpha_index":1065,"clock_position":1065,"value":490},{"alpha_index":1529,"clock_position":1529,"value":899},{"alpha_index":1993,"clock_position":1993,"value":27},{"alpha_index":2457,"clock_position":2457,"value":436}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-138","alpha_indices":[138,602,1066,1530,1994,2458],"clock_positions":[138,602,1066,1530,1994,2458],"native_values":[698,691,235,228,235,691],"rotation_degrees":17.844827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":138,"clock_position":138,"value":698},{"alpha_index":602,"clock_position":602,"value":691},{"alpha_index":1066,"clock_position":1066,"value":235},{"alpha_index":1530,"clock_position":1530,"value":228},{"alpha_index":1994,"clock_position":1994,"value":235},{"alpha_index":2458,"clock_position":2458,"value":691}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-139","alpha_indices":[139,603,1067,1531,1995,2459],"clock_positions":[139,603,1067,1531,1995,2459],"native_values":[725,664,725,201,262,201],"rotation_degrees":17.974137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":139,"clock_position":139,"value":725},{"alpha_index":603,"clock_position":603,"value":664},{"alpha_index":1067,"clock_position":1067,"value":725},{"alpha_index":1531,"clock_position":1531,"value":201},{"alpha_index":1995,"clock_position":1995,"value":262},{"alpha_index":2459,"clock_position":2459,"value":201}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-140","alpha_indices":[140,604,1068,1532,1996,2460],"clock_positions":[140,604,1068,1532,1996,2460],"native_values":[497,429,34,429,497,892],"rotation_degrees":18.103448275862068,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":140,"clock_position":140,"value":497},{"alpha_index":604,"clock_position":604,"value":429},{"alpha_index":1068,"clock_position":1068,"value":34},{"alpha_index":1532,"clock_position":1532,"value":429},{"alpha_index":1996,"clock_position":1996,"value":497},{"alpha_index":2460,"clock_position":2460,"value":892}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-141","alpha_indices":[141,605,1069,1533,1997,2461],"clock_positions":[141,605,1069,1533,1997,2461],"native_values":[296,167,759,630,759,167],"rotation_degrees":18.232758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":141,"clock_position":141,"value":296},{"alpha_index":605,"clock_position":605,"value":167},{"alpha_index":1069,"clock_position":1069,"value":759},{"alpha_index":1533,"clock_position":1533,"value":630},{"alpha_index":1997,"clock_position":1997,"value":759},{"alpha_index":2461,"clock_position":2461,"value":167}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-142","alpha_indices":[142,606,1070,1534,1998,2462],"clock_positions":[142,606,1070,1534,1998,2462],"native_values":[793,596,793,133,330,133],"rotation_degrees":18.362068965517242,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":142,"clock_position":142,"value":793},{"alpha_index":606,"clock_position":606,"value":596},{"alpha_index":1070,"clock_position":1070,"value":793},{"alpha_index":1534,"clock_position":1534,"value":133},{"alpha_index":1998,"clock_position":1998,"value":330},{"alpha_index":2462,"clock_position":2462,"value":133}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-143","alpha_indices":[143,607,1071,1535,1999,2463],"clock_positions":[143,607,1071,1535,1999,2463],"native_values":[163,763,626,763,163,300],"rotation_degrees":18.49137931034483,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":143,"clock_position":143,"value":163},{"alpha_index":607,"clock_position":607,"value":763},{"alpha_index":1071,"clock_position":1071,"value":626},{"alpha_index":1535,"clock_position":1535,"value":763},{"alpha_index":1999,"clock_position":1999,"value":163},{"alpha_index":2463,"clock_position":2463,"value":300}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-144","alpha_indices":[144,608,1072,1536,2000,2464],"clock_positions":[144,608,1072,1536,2000,2464],"native_values":[30,433,493,896,493,433],"rotation_degrees":18.620689655172413,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":144,"clock_position":144,"value":30},{"alpha_index":608,"clock_position":608,"value":433},{"alpha_index":1072,"clock_position":1072,"value":493},{"alpha_index":1536,"clock_position":1536,"value":896},{"alpha_index":2000,"clock_position":2000,"value":493},{"alpha_index":2464,"clock_position":2464,"value":433}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-145","alpha_indices":[145,609,1073,1537,2001,2465],"clock_positions":[145,609,1073,1537,2001,2465],"native_values":[193,270,193,733,656,733],"rotation_degrees":18.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":145,"clock_position":145,"value":193},{"alpha_index":609,"clock_position":609,"value":270},{"alpha_index":1073,"clock_position":1073,"value":193},{"alpha_index":1537,"clock_position":1537,"value":733},{"alpha_index":2001,"clock_position":2001,"value":656},{"alpha_index":2465,"clock_position":2465,"value":733}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-146","alpha_indices":[146,610,1074,1538,2002,2466],"clock_positions":[146,610,1074,1538,2002,2466],"native_values":[223,703,686,703,223,240],"rotation_degrees":18.879310344827587,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":146,"clock_position":146,"value":223},{"alpha_index":610,"clock_position":610,"value":703},{"alpha_index":1074,"clock_position":1074,"value":686},{"alpha_index":1538,"clock_position":1538,"value":703},{"alpha_index":2002,"clock_position":2002,"value":223},{"alpha_index":2466,"clock_position":2466,"value":240}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-147","alpha_indices":[147,611,1075,1539,2003,2467],"clock_positions":[147,611,1075,1539,2003,2467],"native_values":[416,47,879,510,879,47],"rotation_degrees":19.00862068965517,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":147,"clock_position":147,"value":416},{"alpha_index":611,"clock_position":611,"value":47},{"alpha_index":1075,"clock_position":1075,"value":879},{"alpha_index":1539,"clock_position":1539,"value":510},{"alpha_index":2003,"clock_position":2003,"value":879},{"alpha_index":2467,"clock_position":2467,"value":47}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-148","alpha_indices":[148,612,1076,1540,2004,2468],"clock_positions":[148,612,1076,1540,2004,2468],"native_values":[639,750,639,287,176,287],"rotation_degrees":19.137931034482758,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":148,"clock_position":148,"value":639},{"alpha_index":612,"clock_position":612,"value":750},{"alpha_index":1076,"clock_position":1076,"value":639},{"alpha_index":1540,"clock_position":1540,"value":287},{"alpha_index":2004,"clock_position":2004,"value":176},{"alpha_index":2468,"clock_position":2468,"value":287}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-149","alpha_indices":[149,613,1077,1541,2005,2469],"clock_positions":[149,613,1077,1541,2005,2469],"native_values":[129,797,592,797,129,334],"rotation_degrees":19.267241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":149,"clock_position":149,"value":129},{"alpha_index":613,"clock_position":613,"value":797},{"alpha_index":1077,"clock_position":1077,"value":592},{"alpha_index":1541,"clock_position":1541,"value":797},{"alpha_index":2005,"clock_position":2005,"value":129},{"alpha_index":2469,"clock_position":2469,"value":334}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-150","alpha_indices":[150,614,1078,1542,2006,2470],"clock_positions":[150,614,1078,1542,2006,2470],"native_values":[768,621,305,158,305,621],"rotation_degrees":19.396551724137932,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":150,"clock_position":150,"value":768},{"alpha_index":614,"clock_position":614,"value":621},{"alpha_index":1078,"clock_position":1078,"value":305},{"alpha_index":1542,"clock_position":1542,"value":158},{"alpha_index":2006,"clock_position":2006,"value":305},{"alpha_index":2470,"clock_position":2470,"value":621}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-151","alpha_indices":[151,615,1079,1543,2007,2471],"clock_positions":[151,615,1079,1543,2007,2471],"native_values":[897,492,897,29,434,29],"rotation_degrees":19.525862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":151,"clock_position":151,"value":897},{"alpha_index":615,"clock_position":615,"value":492},{"alpha_index":1079,"clock_position":1079,"value":897},{"alpha_index":1543,"clock_position":1543,"value":29},{"alpha_index":2007,"clock_position":2007,"value":434},{"alpha_index":2471,"clock_position":2471,"value":29}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-152","alpha_indices":[152,616,1080,1544,2008,2472],"clock_positions":[152,616,1080,1544,2008,2472],"native_values":[739,187,276,187,739,650],"rotation_degrees":19.655172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":152,"clock_position":152,"value":739},{"alpha_index":616,"clock_position":616,"value":187},{"alpha_index":1080,"clock_position":1080,"value":276},{"alpha_index":1544,"clock_position":1544,"value":187},{"alpha_index":2008,"clock_position":2008,"value":739},{"alpha_index":2472,"clock_position":2472,"value":650}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-153","alpha_indices":[153,617,1081,1545,2009,2473],"clock_positions":[153,617,1081,1545,2009,2473],"native_values":[710,679,247,216,247,679],"rotation_degrees":19.78448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":153,"clock_position":153,"value":710},{"alpha_index":617,"clock_position":617,"value":679},{"alpha_index":1081,"clock_position":1081,"value":247},{"alpha_index":1545,"clock_position":1545,"value":216},{"alpha_index":2009,"clock_position":2009,"value":247},{"alpha_index":2473,"clock_position":2473,"value":679}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-154","alpha_indices":[154,618,1082,1546,2010,2474],"clock_positions":[154,618,1082,1546,2010,2474],"native_values":[523,866,523,403,60,403],"rotation_degrees":19.913793103448278,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":154,"clock_position":154,"value":523},{"alpha_index":618,"clock_position":618,"value":866},{"alpha_index":1082,"clock_position":1082,"value":523},{"alpha_index":1546,"clock_position":1546,"value":403},{"alpha_index":2010,"clock_position":2010,"value":60},{"alpha_index":2474,"clock_position":2474,"value":403}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-155","alpha_indices":[155,619,1083,1547,2011,2475],"clock_positions":[155,619,1083,1547,2011,2475],"native_values":[307,619,770,619,307,156],"rotation_degrees":20.04310344827586,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":155,"clock_position":155,"value":307},{"alpha_index":619,"clock_position":619,"value":619},{"alpha_index":1083,"clock_position":1083,"value":770},{"alpha_index":1547,"clock_position":1547,"value":619},{"alpha_index":2011,"clock_position":2011,"value":307},{"alpha_index":2475,"clock_position":2475,"value":156}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-156","alpha_indices":[156,620,1084,1548,2012,2476],"clock_positions":[156,620,1084,1548,2012,2476],"native_values":[830,559,367,96,367,559],"rotation_degrees":20.17241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":156,"clock_position":156,"value":830},{"alpha_index":620,"clock_position":620,"value":559},{"alpha_index":1084,"clock_position":1084,"value":367},{"alpha_index":1548,"clock_position":1548,"value":96},{"alpha_index":2012,"clock_position":2012,"value":367},{"alpha_index":2476,"clock_position":2476,"value":559}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-157","alpha_indices":[157,621,1085,1549,2013,2477],"clock_positions":[157,621,1085,1549,2013,2477],"native_values":[211,252,211,715,674,715],"rotation_degrees":20.301724137931036,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":157,"clock_position":157,"value":211},{"alpha_index":621,"clock_position":621,"value":252},{"alpha_index":1085,"clock_position":1085,"value":211},{"alpha_index":1549,"clock_position":1549,"value":715},{"alpha_index":2013,"clock_position":2013,"value":674},{"alpha_index":2477,"clock_position":2477,"value":715}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-158","alpha_indices":[158,622,1086,1550,2014,2478],"clock_positions":[158,622,1086,1550,2014,2478],"native_values":[115,811,578,811,115,348],"rotation_degrees":20.43103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":158,"clock_position":158,"value":115},{"alpha_index":622,"clock_position":622,"value":811},{"alpha_index":1086,"clock_position":1086,"value":578},{"alpha_index":1550,"clock_position":1550,"value":811},{"alpha_index":2014,"clock_position":2014,"value":115},{"alpha_index":2478,"clock_position":2478,"value":348}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-159","alpha_indices":[159,623,1087,1551,2015,2479],"clock_positions":[159,623,1087,1551,2015,2479],"native_values":[326,137,789,600,789,137],"rotation_degrees":20.560344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":159,"clock_position":159,"value":326},{"alpha_index":623,"clock_position":623,"value":137},{"alpha_index":1087,"clock_position":1087,"value":789},{"alpha_index":1551,"clock_position":1551,"value":600},{"alpha_index":2015,"clock_position":2015,"value":789},{"alpha_index":2479,"clock_position":2479,"value":137}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-160","alpha_indices":[160,624,1088,1552,2016,2480],"clock_positions":[160,624,1088,1552,2016,2480],"native_values":[441,22,441,485,904,485],"rotation_degrees":20.689655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":160,"clock_position":160,"value":441},{"alpha_index":624,"clock_position":624,"value":22},{"alpha_index":1088,"clock_position":1088,"value":441},{"alpha_index":1552,"clock_position":1552,"value":485},{"alpha_index":2016,"clock_position":2016,"value":904},{"alpha_index":2480,"clock_position":2480,"value":485}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-161","alpha_indices":[161,625,1089,1553,2017,2481],"clock_positions":[161,625,1089,1553,2017,2481],"native_values":[767,159,304,159,767,622],"rotation_degrees":20.81896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":161,"clock_position":161,"value":767},{"alpha_index":625,"clock_position":625,"value":159},{"alpha_index":1089,"clock_position":1089,"value":304},{"alpha_index":1553,"clock_position":1553,"value":159},{"alpha_index":2017,"clock_position":2017,"value":767},{"alpha_index":2481,"clock_position":2481,"value":622}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-162","alpha_indices":[162,626,1090,1554,2018,2482],"clock_positions":[162,626,1090,1554,2018,2482],"native_values":[282,181,745,644,745,181],"rotation_degrees":20.948275862068964,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":162,"clock_position":162,"value":282},{"alpha_index":626,"clock_position":626,"value":181},{"alpha_index":1090,"clock_position":1090,"value":745},{"alpha_index":1554,"clock_position":1554,"value":644},{"alpha_index":2018,"clock_position":2018,"value":745},{"alpha_index":2482,"clock_position":2482,"value":181}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-163","alpha_indices":[163,627,1091,1555,2019,2483],"clock_positions":[163,627,1091,1555,2019,2483],"native_values":[123,340,123,803,586,803],"rotation_degrees":21.07758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":163,"clock_position":163,"value":123},{"alpha_index":627,"clock_position":627,"value":340},{"alpha_index":1091,"clock_position":1091,"value":123},{"alpha_index":1555,"clock_position":1555,"value":803},{"alpha_index":2019,"clock_position":2019,"value":586},{"alpha_index":2483,"clock_position":2483,"value":803}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-164","alpha_indices":[164,628,1092,1556,2020,2484],"clock_positions":[164,628,1092,1556,2020,2484],"native_values":[405,521,868,521,405,58],"rotation_degrees":21.20689655172414,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":164,"clock_position":164,"value":405},{"alpha_index":628,"clock_position":628,"value":521},{"alpha_index":1092,"clock_position":1092,"value":868},{"alpha_index":1556,"clock_position":1556,"value":521},{"alpha_index":2020,"clock_position":2020,"value":405},{"alpha_index":2484,"clock_position":2484,"value":58}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-165","alpha_indices":[165,629,1093,1557,2021,2485],"clock_positions":[165,629,1093,1557,2021,2485],"native_values":[528,861,65,398,65,861],"rotation_degrees":21.336206896551722,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":165,"clock_position":165,"value":528},{"alpha_index":629,"clock_position":629,"value":861},{"alpha_index":1093,"clock_position":1093,"value":65},{"alpha_index":1557,"clock_position":1557,"value":398},{"alpha_index":2021,"clock_position":2021,"value":65},{"alpha_index":2485,"clock_position":2485,"value":861}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-166","alpha_indices":[166,630,1094,1558,2022,2486],"clock_positions":[166,630,1094,1558,2022,2486],"native_values":[7,456,7,919,470,919],"rotation_degrees":21.46551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":166,"clock_position":166,"value":7},{"alpha_index":630,"clock_position":630,"value":456},{"alpha_index":1094,"clock_position":1094,"value":7},{"alpha_index":1558,"clock_position":1558,"value":919},{"alpha_index":2022,"clock_position":2022,"value":470},{"alpha_index":2486,"clock_position":2486,"value":919}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-167","alpha_indices":[167,631,1095,1559,2023,2487],"clock_positions":[167,631,1095,1559,2023,2487],"native_values":[535,391,72,391,535,854],"rotation_degrees":21.594827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":167,"clock_position":167,"value":535},{"alpha_index":631,"clock_position":631,"value":391},{"alpha_index":1095,"clock_position":1095,"value":72},{"alpha_index":1559,"clock_position":1559,"value":391},{"alpha_index":2023,"clock_position":2023,"value":535},{"alpha_index":2487,"clock_position":2487,"value":854}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-168","alpha_indices":[168,632,1096,1560,2024,2488],"clock_positions":[168,632,1096,1560,2024,2488],"native_values":[542,847,79,384,79,847],"rotation_degrees":21.724137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":168,"clock_position":168,"value":542},{"alpha_index":632,"clock_position":632,"value":847},{"alpha_index":1096,"clock_position":1096,"value":79},{"alpha_index":1560,"clock_position":1560,"value":384},{"alpha_index":2024,"clock_position":2024,"value":79},{"alpha_index":2488,"clock_position":2488,"value":847}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-169","alpha_indices":[169,633,1097,1561,2025,2489],"clock_positions":[169,633,1097,1561,2025,2489],"native_values":[151,312,151,775,614,775],"rotation_degrees":21.853448275862068,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":169,"clock_position":169,"value":151},{"alpha_index":633,"clock_position":633,"value":312},{"alpha_index":1097,"clock_position":1097,"value":151},{"alpha_index":1561,"clock_position":1561,"value":775},{"alpha_index":2025,"clock_position":2025,"value":614},{"alpha_index":2489,"clock_position":2489,"value":775}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-170","alpha_indices":[170,634,1098,1562,2026,2490],"clock_positions":[170,634,1098,1562,2026,2490],"native_values":[693,233,230,233,693,696],"rotation_degrees":21.982758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":170,"clock_position":170,"value":693},{"alpha_index":634,"clock_position":634,"value":233},{"alpha_index":1098,"clock_position":1098,"value":230},{"alpha_index":1562,"clock_position":1562,"value":233},{"alpha_index":2026,"clock_position":2026,"value":693},{"alpha_index":2490,"clock_position":2490,"value":696}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-171","alpha_indices":[171,635,1099,1563,2027,2491],"clock_positions":[171,635,1099,1563,2027,2491],"native_values":[844,545,381,82,381,545],"rotation_degrees":22.112068965517242,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":171,"clock_position":171,"value":844},{"alpha_index":635,"clock_position":635,"value":545},{"alpha_index":1099,"clock_position":1099,"value":381},{"alpha_index":1563,"clock_position":1563,"value":82},{"alpha_index":2027,"clock_position":2027,"value":381},{"alpha_index":2491,"clock_position":2491,"value":545}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-172","alpha_indices":[172,636,1100,1564,2028,2492],"clock_positions":[172,636,1100,1564,2028,2492],"native_values":[611,778,611,315,148,315],"rotation_degrees":22.24137931034483,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":172,"clock_position":172,"value":611},{"alpha_index":636,"clock_position":636,"value":778},{"alpha_index":1100,"clock_position":1100,"value":611},{"alpha_index":1564,"clock_position":1564,"value":315},{"alpha_index":2028,"clock_position":2028,"value":148},{"alpha_index":2492,"clock_position":2492,"value":315}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-173","alpha_indices":[173,637,1101,1565,2029,2493],"clock_positions":[173,637,1101,1565,2029,2493],"native_values":[529,397,66,397,529,860],"rotation_degrees":22.370689655172413,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":173,"clock_position":173,"value":529},{"alpha_index":637,"clock_position":637,"value":397},{"alpha_index":1101,"clock_position":1101,"value":66},{"alpha_index":1565,"clock_position":1565,"value":397},{"alpha_index":2029,"clock_position":2029,"value":529},{"alpha_index":2493,"clock_position":2493,"value":860}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-174","alpha_indices":[174,638,1102,1566,2030,2494],"clock_positions":[174,638,1102,1566,2030,2494],"native_values":[214,249,677,712,677,249],"rotation_degrees":22.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":174,"clock_position":174,"value":214},{"alpha_index":638,"clock_position":638,"value":249},{"alpha_index":1102,"clock_position":1102,"value":677},{"alpha_index":1566,"clock_position":1566,"value":712},{"alpha_index":2030,"clock_position":2030,"value":677},{"alpha_index":2494,"clock_position":2494,"value":249}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-175","alpha_indices":[175,639,1103,1567,2031,2495],"clock_positions":[175,639,1103,1567,2031,2495],"native_values":[743,646,743,183,280,183],"rotation_degrees":22.629310344827587,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":175,"clock_position":175,"value":743},{"alpha_index":639,"clock_position":639,"value":646},{"alpha_index":1103,"clock_position":1103,"value":743},{"alpha_index":1567,"clock_position":1567,"value":183},{"alpha_index":2031,"clock_position":2031,"value":280},{"alpha_index":2495,"clock_position":2495,"value":183}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-176","alpha_indices":[176,640,1104,1568,2032,2496],"clock_positions":[176,640,1104,1568,2032,2496],"native_values":[31,895,494,895,31,432],"rotation_degrees":22.75862068965517,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":176,"clock_position":176,"value":31},{"alpha_index":640,"clock_position":640,"value":895},{"alpha_index":1104,"clock_position":1104,"value":494},{"alpha_index":1568,"clock_position":1568,"value":895},{"alpha_index":2032,"clock_position":2032,"value":31},{"alpha_index":2496,"clock_position":2496,"value":432}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-177","alpha_indices":[177,641,1105,1569,2033,2497],"clock_positions":[177,641,1105,1569,2033,2497],"native_values":[774,615,311,152,311,615],"rotation_degrees":22.887931034482758,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":177,"clock_position":177,"value":774},{"alpha_index":641,"clock_position":641,"value":615},{"alpha_index":1105,"clock_position":1105,"value":311},{"alpha_index":1569,"clock_position":1569,"value":152},{"alpha_index":2033,"clock_position":2033,"value":311},{"alpha_index":2497,"clock_position":2497,"value":615}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-178","alpha_indices":[178,642,1106,1570,2034,2498],"clock_positions":[178,642,1106,1570,2034,2498],"native_values":[805,584,805,121,342,121],"rotation_degrees":23.017241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":178,"clock_position":178,"value":805},{"alpha_index":642,"clock_position":642,"value":584},{"alpha_index":1106,"clock_position":1106,"value":805},{"alpha_index":1570,"clock_position":1570,"value":121},{"alpha_index":2034,"clock_position":2034,"value":342},{"alpha_index":2498,"clock_position":2498,"value":121}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-179","alpha_indices":[179,643,1107,1571,2035,2499],"clock_positions":[179,643,1107,1571,2035,2499],"native_values":[653,273,190,273,653,736],"rotation_degrees":23.146551724137932,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":179,"clock_position":179,"value":653},{"alpha_index":643,"clock_position":643,"value":273},{"alpha_index":1107,"clock_position":1107,"value":190},{"alpha_index":1571,"clock_position":1571,"value":273},{"alpha_index":2035,"clock_position":2035,"value":653},{"alpha_index":2499,"clock_position":2499,"value":736}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-180","alpha_indices":[180,644,1108,1572,2036,2500],"clock_positions":[180,644,1108,1572,2036,2500],"native_values":[532,857,69,394,69,857],"rotation_degrees":23.275862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":180,"clock_position":180,"value":532},{"alpha_index":644,"clock_position":644,"value":857},{"alpha_index":1108,"clock_position":1108,"value":69},{"alpha_index":1572,"clock_position":1572,"value":394},{"alpha_index":2036,"clock_position":2036,"value":69},{"alpha_index":2500,"clock_position":2500,"value":857}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-181","alpha_indices":[181,645,1109,1573,2037,2501],"clock_positions":[181,645,1109,1573,2037,2501],"native_values":[259,204,259,667,722,667],"rotation_degrees":23.405172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":181,"clock_position":181,"value":259},{"alpha_index":645,"clock_position":645,"value":204},{"alpha_index":1109,"clock_position":1109,"value":259},{"alpha_index":1573,"clock_position":1573,"value":667},{"alpha_index":2037,"clock_position":2037,"value":722},{"alpha_index":2501,"clock_position":2501,"value":667}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-182","alpha_indices":[182,646,1110,1574,2038,2502],"clock_positions":[182,646,1110,1574,2038,2502],"native_values":[791,135,328,135,791,598],"rotation_degrees":23.53448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":182,"clock_position":182,"value":791},{"alpha_index":646,"clock_position":646,"value":135},{"alpha_index":1110,"clock_position":1110,"value":328},{"alpha_index":1574,"clock_position":1574,"value":135},{"alpha_index":2038,"clock_position":2038,"value":791},{"alpha_index":2502,"clock_position":2502,"value":598}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-183","alpha_indices":[183,647,1111,1575,2039,2503],"clock_positions":[183,647,1111,1575,2039,2503],"native_values":[124,339,587,802,587,339],"rotation_degrees":23.663793103448278,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":183,"clock_position":183,"value":124},{"alpha_index":647,"clock_position":647,"value":339},{"alpha_index":1111,"clock_position":1111,"value":587},{"alpha_index":1575,"clock_position":1575,"value":802},{"alpha_index":2039,"clock_position":2039,"value":587},{"alpha_index":2503,"clock_position":2503,"value":339}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-184","alpha_indices":[184,648,1112,1576,2040,2504],"clock_positions":[184,648,1112,1576,2040,2504],"native_values":[915,474,915,11,452,11],"rotation_degrees":23.79310344827586,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":184,"clock_position":184,"value":915},{"alpha_index":648,"clock_position":648,"value":474},{"alpha_index":1112,"clock_position":1112,"value":915},{"alpha_index":1576,"clock_position":1576,"value":11},{"alpha_index":2040,"clock_position":2040,"value":452},{"alpha_index":2504,"clock_position":2504,"value":11}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-185","alpha_indices":[185,649,1113,1577,2041,2505],"clock_positions":[185,649,1113,1577,2041,2505],"native_values":[113,813,576,813,113,350],"rotation_degrees":23.92241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":185,"clock_position":185,"value":113},{"alpha_index":649,"clock_position":649,"value":813},{"alpha_index":1113,"clock_position":1113,"value":576},{"alpha_index":1577,"clock_position":1577,"value":813},{"alpha_index":2041,"clock_position":2041,"value":113},{"alpha_index":2505,"clock_position":2505,"value":350}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-186","alpha_indices":[186,650,1114,1578,2042,2506],"clock_positions":[186,650,1114,1578,2042,2506],"native_values":[102,361,565,824,565,361],"rotation_degrees":24.051724137931036,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":186,"clock_position":186,"value":102},{"alpha_index":650,"clock_position":650,"value":361},{"alpha_index":1114,"clock_position":1114,"value":565},{"alpha_index":1578,"clock_position":1578,"value":824},{"alpha_index":2042,"clock_position":2042,"value":565},{"alpha_index":2506,"clock_position":2506,"value":361}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-187","alpha_indices":[187,651,1115,1579,2043,2507],"clock_positions":[187,651,1115,1579,2043,2507],"native_values":[215,248,215,711,678,711],"rotation_degrees":24.18103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":187,"clock_position":187,"value":215},{"alpha_index":651,"clock_position":651,"value":248},{"alpha_index":1115,"clock_position":1115,"value":215},{"alpha_index":1579,"clock_position":1579,"value":711},{"alpha_index":2043,"clock_position":2043,"value":678},{"alpha_index":2507,"clock_position":2507,"value":711}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-188","alpha_indices":[188,652,1116,1580,2044,2508],"clock_positions":[188,652,1116,1580,2044,2508],"native_values":[317,609,780,609,317,146],"rotation_degrees":24.310344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":188,"clock_position":188,"value":317},{"alpha_index":652,"clock_position":652,"value":609},{"alpha_index":1116,"clock_position":1116,"value":780},{"alpha_index":1580,"clock_position":1580,"value":609},{"alpha_index":2044,"clock_position":2044,"value":317},{"alpha_index":2508,"clock_position":2508,"value":146}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-189","alpha_indices":[189,653,1117,1581,2045,2509],"clock_positions":[189,653,1117,1581,2045,2509],"native_values":[532,857,69,394,69,857],"rotation_degrees":24.439655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":189,"clock_position":189,"value":532},{"alpha_index":653,"clock_position":653,"value":857},{"alpha_index":1117,"clock_position":1117,"value":69},{"alpha_index":1581,"clock_position":1581,"value":394},{"alpha_index":2045,"clock_position":2045,"value":69},{"alpha_index":2509,"clock_position":2509,"value":857}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-190","alpha_indices":[190,654,1118,1582,2046,2510],"clock_positions":[190,654,1118,1582,2046,2510],"native_values":[849,540,849,77,386,77],"rotation_degrees":24.56896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":190,"clock_position":190,"value":849},{"alpha_index":654,"clock_position":654,"value":540},{"alpha_index":1118,"clock_position":1118,"value":849},{"alpha_index":1582,"clock_position":1582,"value":77},{"alpha_index":2046,"clock_position":2046,"value":386},{"alpha_index":2510,"clock_position":2510,"value":77}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-191","alpha_indices":[191,655,1119,1583,2047,2511],"clock_positions":[191,655,1119,1583,2047,2511],"native_values":[455,471,918,471,455,8],"rotation_degrees":24.698275862068964,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":191,"clock_position":191,"value":455},{"alpha_index":655,"clock_position":655,"value":471},{"alpha_index":1119,"clock_position":1119,"value":918},{"alpha_index":1583,"clock_position":1583,"value":471},{"alpha_index":2047,"clock_position":2047,"value":455},{"alpha_index":2511,"clock_position":2511,"value":8}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-192","alpha_indices":[192,656,1120,1584,2048,2512],"clock_positions":[192,656,1120,1584,2048,2512],"native_values":[378,85,841,548,841,85],"rotation_degrees":24.82758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":192,"clock_position":192,"value":378},{"alpha_index":656,"clock_position":656,"value":85},{"alpha_index":1120,"clock_position":1120,"value":841},{"alpha_index":1584,"clock_position":1584,"value":548},{"alpha_index":2048,"clock_position":2048,"value":841},{"alpha_index":2512,"clock_position":2512,"value":85}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-193","alpha_indices":[193,657,1121,1585,2049,2513],"clock_positions":[193,657,1121,1585,2049,2513],"native_values":[833,556,833,93,370,93],"rotation_degrees":24.95689655172414,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":193,"clock_position":193,"value":833},{"alpha_index":657,"clock_position":657,"value":556},{"alpha_index":1121,"clock_position":1121,"value":833},{"alpha_index":1585,"clock_position":1585,"value":93},{"alpha_index":2049,"clock_position":2049,"value":370},{"alpha_index":2513,"clock_position":2513,"value":93}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-194","alpha_indices":[194,658,1122,1586,2050,2514],"clock_positions":[194,658,1122,1586,2050,2514],"native_values":[285,641,748,641,285,178],"rotation_degrees":25.086206896551722,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":194,"clock_position":194,"value":285},{"alpha_index":658,"clock_position":658,"value":641},{"alpha_index":1122,"clock_position":1122,"value":748},{"alpha_index":1586,"clock_position":1586,"value":641},{"alpha_index":2050,"clock_position":2050,"value":285},{"alpha_index":2514,"clock_position":2514,"value":178}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-195","alpha_indices":[195,659,1123,1587,2051,2515],"clock_positions":[195,659,1123,1587,2051,2515],"native_values":[192,271,655,734,655,271],"rotation_degrees":25.21551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":195,"clock_position":195,"value":192},{"alpha_index":659,"clock_position":659,"value":271},{"alpha_index":1123,"clock_position":1123,"value":655},{"alpha_index":1587,"clock_position":1587,"value":734},{"alpha_index":2051,"clock_position":2051,"value":655},{"alpha_index":2515,"clock_position":2515,"value":271}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-196","alpha_indices":[196,660,1124,1588,2052,2516],"clock_positions":[196,660,1124,1588,2052,2516],"native_values":[477,912,477,449,14,449],"rotation_degrees":25.344827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":196,"clock_position":196,"value":477},{"alpha_index":660,"clock_position":660,"value":912},{"alpha_index":1124,"clock_position":1124,"value":477},{"alpha_index":1588,"clock_position":1588,"value":449},{"alpha_index":2052,"clock_position":2052,"value":14},{"alpha_index":2516,"clock_position":2516,"value":449}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-197","alpha_indices":[197,661,1125,1589,2053,2517],"clock_positions":[197,661,1125,1589,2053,2517],"native_values":[669,257,206,257,669,720],"rotation_degrees":25.474137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":197,"clock_position":197,"value":669},{"alpha_index":661,"clock_position":661,"value":257},{"alpha_index":1125,"clock_position":1125,"value":206},{"alpha_index":1589,"clock_position":1589,"value":257},{"alpha_index":2053,"clock_position":2053,"value":669},{"alpha_index":2517,"clock_position":2517,"value":720}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-198","alpha_indices":[198,662,1126,1590,2054,2518],"clock_positions":[198,662,1126,1590,2054,2518],"native_values":[220,243,683,706,683,243],"rotation_degrees":25.603448275862068,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":198,"clock_position":198,"value":220},{"alpha_index":662,"clock_position":662,"value":243},{"alpha_index":1126,"clock_position":1126,"value":683},{"alpha_index":1590,"clock_position":1590,"value":706},{"alpha_index":2054,"clock_position":2054,"value":683},{"alpha_index":2518,"clock_position":2518,"value":243}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-199","alpha_indices":[199,663,1127,1591,2055,2519],"clock_positions":[199,663,1127,1591,2055,2519],"native_values":[889,500,889,37,426,37],"rotation_degrees":25.732758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":199,"clock_position":199,"value":889},{"alpha_index":663,"clock_position":663,"value":500},{"alpha_index":1127,"clock_position":1127,"value":889},{"alpha_index":1591,"clock_position":1591,"value":37},{"alpha_index":2055,"clock_position":2055,"value":426},{"alpha_index":2519,"clock_position":2519,"value":37}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-200","alpha_indices":[200,664,1128,1592,2056,2520],"clock_positions":[200,664,1128,1592,2056,2520],"native_values":[183,743,646,743,183,280],"rotation_degrees":25.862068965517242,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":200,"clock_position":200,"value":183},{"alpha_index":664,"clock_position":664,"value":743},{"alpha_index":1128,"clock_position":1128,"value":646},{"alpha_index":1592,"clock_position":1592,"value":743},{"alpha_index":2056,"clock_position":2056,"value":183},{"alpha_index":2520,"clock_position":2520,"value":280}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-201","alpha_indices":[201,665,1129,1593,2057,2521],"clock_positions":[201,665,1129,1593,2057,2521],"native_values":[146,317,609,780,609,317],"rotation_degrees":25.99137931034483,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":201,"clock_position":201,"value":146},{"alpha_index":665,"clock_position":665,"value":317},{"alpha_index":1129,"clock_position":1129,"value":609},{"alpha_index":1593,"clock_position":1593,"value":780},{"alpha_index":2057,"clock_position":2057,"value":609},{"alpha_index":2521,"clock_position":2521,"value":317}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-202","alpha_indices":[202,666,1130,1594,2058,2522],"clock_positions":[202,666,1130,1594,2058,2522],"native_values":[329,134,329,597,792,597],"rotation_degrees":26.120689655172413,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":202,"clock_position":202,"value":329},{"alpha_index":666,"clock_position":666,"value":134},{"alpha_index":1130,"clock_position":1130,"value":329},{"alpha_index":1594,"clock_position":1594,"value":597},{"alpha_index":2058,"clock_position":2058,"value":792},{"alpha_index":2522,"clock_position":2522,"value":597}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-203","alpha_indices":[203,667,1131,1595,2059,2523],"clock_positions":[203,667,1131,1595,2059,2523],"native_values":[475,451,12,451,475,914],"rotation_degrees":26.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":203,"clock_position":203,"value":475},{"alpha_index":667,"clock_position":667,"value":451},{"alpha_index":1131,"clock_position":1131,"value":12},{"alpha_index":1595,"clock_position":1595,"value":451},{"alpha_index":2059,"clock_position":2059,"value":475},{"alpha_index":2523,"clock_position":2523,"value":914}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-204","alpha_indices":[204,668,1132,1596,2060,2524],"clock_positions":[204,668,1132,1596,2060,2524],"native_values":[804,585,341,122,341,585],"rotation_degrees":26.379310344827587,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":204,"clock_position":204,"value":804},{"alpha_index":668,"clock_position":668,"value":585},{"alpha_index":1132,"clock_position":1132,"value":341},{"alpha_index":1596,"clock_position":1596,"value":122},{"alpha_index":2060,"clock_position":2060,"value":341},{"alpha_index":2524,"clock_position":2524,"value":585}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-205","alpha_indices":[205,669,1133,1597,2061,2525],"clock_positions":[205,669,1133,1597,2061,2525],"native_values":[353,110,353,573,816,573],"rotation_degrees":26.50862068965517,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":205,"clock_position":205,"value":353},{"alpha_index":669,"clock_position":669,"value":110},{"alpha_index":1133,"clock_position":1133,"value":353},{"alpha_index":1597,"clock_position":1597,"value":573},{"alpha_index":2061,"clock_position":2061,"value":816},{"alpha_index":2525,"clock_position":2525,"value":573}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-206","alpha_indices":[206,670,1134,1598,2062,2526],"clock_positions":[206,670,1134,1598,2062,2526],"native_values":[231,695,694,695,231,232],"rotation_degrees":26.637931034482758,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":206,"clock_position":206,"value":231},{"alpha_index":670,"clock_position":670,"value":695},{"alpha_index":1134,"clock_position":1134,"value":694},{"alpha_index":1598,"clock_position":1598,"value":695},{"alpha_index":2062,"clock_position":2062,"value":231},{"alpha_index":2526,"clock_position":2526,"value":232}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-207","alpha_indices":[207,671,1135,1599,2063,2527],"clock_positions":[207,671,1135,1599,2063,2527],"native_values":[584,805,121,342,121,805],"rotation_degrees":26.767241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":207,"clock_position":207,"value":584},{"alpha_index":671,"clock_position":671,"value":805},{"alpha_index":1135,"clock_position":1135,"value":121},{"alpha_index":1599,"clock_position":1599,"value":342},{"alpha_index":2063,"clock_position":2063,"value":121},{"alpha_index":2527,"clock_position":2527,"value":805}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-208","alpha_indices":[208,672,1136,1600,2064,2528],"clock_positions":[208,672,1136,1600,2064,2528],"native_values":[815,574,815,111,352,111],"rotation_degrees":26.896551724137932,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":208,"clock_position":208,"value":815},{"alpha_index":672,"clock_position":672,"value":574},{"alpha_index":1136,"clock_position":1136,"value":815},{"alpha_index":1600,"clock_position":1600,"value":111},{"alpha_index":2064,"clock_position":2064,"value":352},{"alpha_index":2528,"clock_position":2528,"value":111}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-209","alpha_indices":[209,673,1137,1601,2065,2529],"clock_positions":[209,673,1137,1601,2065,2529],"native_values":[473,453,10,453,473,916],"rotation_degrees":27.025862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":209,"clock_position":209,"value":473},{"alpha_index":673,"clock_position":673,"value":453},{"alpha_index":1137,"clock_position":1137,"value":10},{"alpha_index":1601,"clock_position":1601,"value":453},{"alpha_index":2065,"clock_position":2065,"value":473},{"alpha_index":2529,"clock_position":2529,"value":916}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-210","alpha_indices":[210,674,1138,1602,2066,2530],"clock_positions":[210,674,1138,1602,2066,2530],"native_values":[362,101,825,564,825,101],"rotation_degrees":27.155172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":210,"clock_position":210,"value":362},{"alpha_index":674,"clock_position":674,"value":101},{"alpha_index":1138,"clock_position":1138,"value":825},{"alpha_index":1602,"clock_position":1602,"value":564},{"alpha_index":2066,"clock_position":2066,"value":825},{"alpha_index":2530,"clock_position":2530,"value":101}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-211","alpha_indices":[211,675,1139,1603,2067,2531],"clock_positions":[211,675,1139,1603,2067,2531],"native_values":[835,554,835,91,372,91],"rotation_degrees":27.28448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":211,"clock_position":211,"value":835},{"alpha_index":675,"clock_position":675,"value":554},{"alpha_index":1139,"clock_position":1139,"value":835},{"alpha_index":1603,"clock_position":1603,"value":91},{"alpha_index":2067,"clock_position":2067,"value":372},{"alpha_index":2531,"clock_position":2531,"value":91}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-212","alpha_indices":[212,676,1140,1604,2068,2532],"clock_positions":[212,676,1140,1604,2068,2532],"native_values":[271,655,734,655,271,192],"rotation_degrees":27.413793103448278,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":212,"clock_position":212,"value":271},{"alpha_index":676,"clock_position":676,"value":655},{"alpha_index":1140,"clock_position":1140,"value":734},{"alpha_index":1604,"clock_position":1604,"value":655},{"alpha_index":2068,"clock_position":2068,"value":271},{"alpha_index":2532,"clock_position":2532,"value":192}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-213","alpha_indices":[213,677,1141,1605,2069,2533],"clock_positions":[213,677,1141,1605,2069,2533],"native_values":[180,283,643,746,643,283],"rotation_degrees":27.54310344827586,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":213,"clock_position":213,"value":180},{"alpha_index":677,"clock_position":677,"value":283},{"alpha_index":1141,"clock_position":1141,"value":643},{"alpha_index":1605,"clock_position":1605,"value":746},{"alpha_index":2069,"clock_position":2069,"value":643},{"alpha_index":2533,"clock_position":2533,"value":283}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-214","alpha_indices":[214,678,1142,1606,2070,2534],"clock_positions":[214,678,1142,1606,2070,2534],"native_values":[451,12,451,475,914,475],"rotation_degrees":27.67241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":214,"clock_position":214,"value":451},{"alpha_index":678,"clock_position":678,"value":12},{"alpha_index":1142,"clock_position":1142,"value":451},{"alpha_index":1606,"clock_position":1606,"value":475},{"alpha_index":2070,"clock_position":2070,"value":914},{"alpha_index":2534,"clock_position":2534,"value":475}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-215","alpha_indices":[215,679,1143,1607,2071,2535],"clock_positions":[215,679,1143,1607,2071,2535],"native_values":[631,295,168,295,631,758],"rotation_degrees":27.801724137931036,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":215,"clock_position":215,"value":631},{"alpha_index":679,"clock_position":679,"value":295},{"alpha_index":1143,"clock_position":1143,"value":168},{"alpha_index":1607,"clock_position":1607,"value":295},{"alpha_index":2071,"clock_position":2071,"value":631},{"alpha_index":2535,"clock_position":2535,"value":758}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-216","alpha_indices":[216,680,1144,1608,2072,2536],"clock_positions":[216,680,1144,1608,2072,2536],"native_values":[156,307,619,770,619,307],"rotation_degrees":27.93103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":216,"clock_position":216,"value":156},{"alpha_index":680,"clock_position":680,"value":307},{"alpha_index":1144,"clock_position":1144,"value":619},{"alpha_index":1608,"clock_position":1608,"value":770},{"alpha_index":2072,"clock_position":2072,"value":619},{"alpha_index":2536,"clock_position":2536,"value":307}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-217","alpha_indices":[217,681,1145,1609,2073,2537],"clock_positions":[217,681,1145,1609,2073,2537],"native_values":[787,602,787,139,324,139],"rotation_degrees":28.060344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":217,"clock_position":217,"value":787},{"alpha_index":681,"clock_position":681,"value":602},{"alpha_index":1145,"clock_position":1145,"value":787},{"alpha_index":1609,"clock_position":1609,"value":139},{"alpha_index":2073,"clock_position":2073,"value":324},{"alpha_index":2537,"clock_position":2537,"value":139}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-218","alpha_indices":[218,682,1146,1610,2074,2538],"clock_positions":[218,682,1146,1610,2074,2538],"native_values":[17,909,480,909,17,446],"rotation_degrees":28.189655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":218,"clock_position":218,"value":17},{"alpha_index":682,"clock_position":682,"value":909},{"alpha_index":1146,"clock_position":1146,"value":480},{"alpha_index":1610,"clock_position":1610,"value":909},{"alpha_index":2074,"clock_position":2074,"value":17},{"alpha_index":2538,"clock_position":2538,"value":446}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-219","alpha_indices":[219,683,1147,1611,2075,2539],"clock_positions":[219,683,1147,1611,2075,2539],"native_values":[804,585,341,122,341,585],"rotation_degrees":28.31896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":219,"clock_position":219,"value":804},{"alpha_index":683,"clock_position":683,"value":585},{"alpha_index":1147,"clock_position":1147,"value":341},{"alpha_index":1611,"clock_position":1611,"value":122},{"alpha_index":2075,"clock_position":2075,"value":341},{"alpha_index":2539,"clock_position":2539,"value":585}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-220","alpha_indices":[220,684,1148,1612,2076,2540],"clock_positions":[220,684,1148,1612,2076,2540],"native_values":[821,568,821,105,358,105],"rotation_degrees":28.448275862068964,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":220,"clock_position":220,"value":821},{"alpha_index":684,"clock_position":684,"value":568},{"alpha_index":1148,"clock_position":1148,"value":821},{"alpha_index":1612,"clock_position":1612,"value":105},{"alpha_index":2076,"clock_position":2076,"value":358},{"alpha_index":2540,"clock_position":2540,"value":105}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-221","alpha_indices":[221,685,1149,1613,2077,2541],"clock_positions":[221,685,1149,1613,2077,2541],"native_values":[699,227,236,227,699,690],"rotation_degrees":28.57758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":221,"clock_position":221,"value":699},{"alpha_index":685,"clock_position":685,"value":227},{"alpha_index":1149,"clock_position":1149,"value":236},{"alpha_index":1613,"clock_position":1613,"value":227},{"alpha_index":2077,"clock_position":2077,"value":699},{"alpha_index":2541,"clock_position":2541,"value":690}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-222","alpha_indices":[222,686,1150,1614,2078,2542],"clock_positions":[222,686,1150,1614,2078,2542],"native_values":[594,795,131,332,131,795],"rotation_degrees":28.70689655172414,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":222,"clock_position":222,"value":594},{"alpha_index":686,"clock_position":686,"value":795},{"alpha_index":1150,"clock_position":1150,"value":131},{"alpha_index":1614,"clock_position":1614,"value":332},{"alpha_index":2078,"clock_position":2078,"value":131},{"alpha_index":2542,"clock_position":2542,"value":795}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-223","alpha_indices":[223,687,1151,1615,2079,2543],"clock_positions":[223,687,1151,1615,2079,2543],"native_values":[367,96,367,559,830,559],"rotation_degrees":28.836206896551722,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":223,"clock_position":223,"value":367},{"alpha_index":687,"clock_position":687,"value":96},{"alpha_index":1151,"clock_position":1151,"value":367},{"alpha_index":1615,"clock_position":1615,"value":559},{"alpha_index":2079,"clock_position":2079,"value":830},{"alpha_index":2543,"clock_position":2543,"value":559}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-224","alpha_indices":[224,688,1152,1616,2080,2544],"clock_positions":[224,688,1152,1616,2080,2544],"native_values":[35,891,498,891,35,428],"rotation_degrees":28.96551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":224,"clock_position":224,"value":35},{"alpha_index":688,"clock_position":688,"value":891},{"alpha_index":1152,"clock_position":1152,"value":498},{"alpha_index":1616,"clock_position":1616,"value":891},{"alpha_index":2080,"clock_position":2080,"value":35},{"alpha_index":2544,"clock_position":2544,"value":428}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-225","alpha_indices":[225,689,1153,1617,2081,2545],"clock_positions":[225,689,1153,1617,2081,2545],"native_values":[402,61,865,524,865,61],"rotation_degrees":29.094827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":225,"clock_position":225,"value":402},{"alpha_index":689,"clock_position":689,"value":61},{"alpha_index":1153,"clock_position":1153,"value":865},{"alpha_index":1617,"clock_position":1617,"value":524},{"alpha_index":2081,"clock_position":2081,"value":865},{"alpha_index":2545,"clock_position":2545,"value":61}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-226","alpha_indices":[226,690,1154,1618,2082,2546],"clock_positions":[226,690,1154,1618,2082,2546],"native_values":[437,26,437,489,900,489],"rotation_degrees":29.224137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":226,"clock_position":226,"value":437},{"alpha_index":690,"clock_position":690,"value":26},{"alpha_index":1154,"clock_position":1154,"value":437},{"alpha_index":1618,"clock_position":1618,"value":489},{"alpha_index":2082,"clock_position":2082,"value":900},{"alpha_index":2546,"clock_position":2546,"value":489}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-227","alpha_indices":[227,691,1155,1619,2083,2547],"clock_positions":[227,691,1155,1619,2083,2547],"native_values":[839,87,376,87,839,550],"rotation_degrees":29.353448275862068,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":227,"clock_position":227,"value":839},{"alpha_index":691,"clock_position":691,"value":87},{"alpha_index":1155,"clock_position":1155,"value":376},{"alpha_index":1619,"clock_position":1619,"value":87},{"alpha_index":2083,"clock_position":2083,"value":839},{"alpha_index":2547,"clock_position":2547,"value":550}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-228","alpha_indices":[228,692,1156,1620,2084,2548],"clock_positions":[228,692,1156,1620,2084,2548],"native_values":[350,113,813,576,813,113],"rotation_degrees":29.482758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":228,"clock_position":228,"value":350},{"alpha_index":692,"clock_position":692,"value":113},{"alpha_index":1156,"clock_position":1156,"value":813},{"alpha_index":1620,"clock_position":1620,"value":576},{"alpha_index":2084,"clock_position":2084,"value":813},{"alpha_index":2548,"clock_position":2548,"value":113}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-229","alpha_indices":[229,693,1157,1621,2085,2549],"clock_positions":[229,693,1157,1621,2085,2549],"native_values":[263,200,263,663,726,663],"rotation_degrees":29.612068965517242,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":229,"clock_position":229,"value":263},{"alpha_index":693,"clock_position":693,"value":200},{"alpha_index":1157,"clock_position":1157,"value":263},{"alpha_index":1621,"clock_position":1621,"value":663},{"alpha_index":2085,"clock_position":2085,"value":726},{"alpha_index":2549,"clock_position":2549,"value":663}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-230","alpha_indices":[230,694,1158,1622,2086,2550],"clock_positions":[230,694,1158,1622,2086,2550],"native_values":[613,313,150,313,613,776],"rotation_degrees":29.74137931034483,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":230,"clock_position":230,"value":613},{"alpha_index":694,"clock_position":694,"value":313},{"alpha_index":1158,"clock_position":1158,"value":150},{"alpha_index":1622,"clock_position":1622,"value":313},{"alpha_index":2086,"clock_position":2086,"value":613},{"alpha_index":2550,"clock_position":2550,"value":776}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-231","alpha_indices":[231,695,1159,1623,2087,2551],"clock_positions":[231,695,1159,1623,2087,2551],"native_values":[876,513,413,50,413,513],"rotation_degrees":29.870689655172413,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":231,"clock_position":231,"value":876},{"alpha_index":695,"clock_position":695,"value":513},{"alpha_index":1159,"clock_position":1159,"value":413},{"alpha_index":1623,"clock_position":1623,"value":50},{"alpha_index":2087,"clock_position":2087,"value":413},{"alpha_index":2551,"clock_position":2551,"value":513}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-232","alpha_indices":[232,696,1160,1624,2088,2552],"clock_positions":[232,696,1160,1624,2088,2552],"native_values":[563,826,563,363,100,363],"rotation_degrees":30.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":232,"clock_position":232,"value":563},{"alpha_index":696,"clock_position":696,"value":826},{"alpha_index":1160,"clock_position":1160,"value":563},{"alpha_index":1624,"clock_position":1624,"value":363},{"alpha_index":2088,"clock_position":2088,"value":100},{"alpha_index":2552,"clock_position":2552,"value":363}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-233","alpha_indices":[233,697,1161,1625,2089,2553],"clock_positions":[233,697,1161,1625,2089,2553],"native_values":[513,413,50,413,513,876],"rotation_degrees":30.129310344827587,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":233,"clock_position":233,"value":513},{"alpha_index":697,"clock_position":697,"value":413},{"alpha_index":1161,"clock_position":1161,"value":50},{"alpha_index":1625,"clock_position":1625,"value":413},{"alpha_index":2089,"clock_position":2089,"value":513},{"alpha_index":2553,"clock_position":2553,"value":876}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-234","alpha_indices":[234,698,1162,1626,2090,2554],"clock_positions":[234,698,1162,1626,2090,2554],"native_values":[150,313,613,776,613,313],"rotation_degrees":30.25862068965517,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":234,"clock_position":234,"value":150},{"alpha_index":698,"clock_position":698,"value":313},{"alpha_index":1162,"clock_position":1162,"value":613},{"alpha_index":1626,"clock_position":1626,"value":776},{"alpha_index":2090,"clock_position":2090,"value":613},{"alpha_index":2554,"clock_position":2554,"value":313}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-235","alpha_indices":[235,699,1163,1627,2091,2555],"clock_positions":[235,699,1163,1627,2091,2555],"native_values":[663,726,663,263,200,263],"rotation_degrees":30.387931034482758,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":235,"clock_position":235,"value":663},{"alpha_index":699,"clock_position":699,"value":726},{"alpha_index":1163,"clock_position":1163,"value":663},{"alpha_index":1627,"clock_position":1627,"value":263},{"alpha_index":2091,"clock_position":2091,"value":200},{"alpha_index":2555,"clock_position":2555,"value":263}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-236","alpha_indices":[236,700,1164,1628,2092,2556],"clock_positions":[236,700,1164,1628,2092,2556],"native_values":[813,113,350,113,813,576],"rotation_degrees":30.517241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":236,"clock_position":236,"value":813},{"alpha_index":700,"clock_position":700,"value":113},{"alpha_index":1164,"clock_position":1164,"value":350},{"alpha_index":1628,"clock_position":1628,"value":113},{"alpha_index":2092,"clock_position":2092,"value":813},{"alpha_index":2556,"clock_position":2556,"value":576}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-237","alpha_indices":[237,701,1165,1629,2093,2557],"clock_positions":[237,701,1165,1629,2093,2557],"native_values":[550,839,87,376,87,839],"rotation_degrees":30.646551724137932,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":237,"clock_position":237,"value":550},{"alpha_index":701,"clock_position":701,"value":839},{"alpha_index":1165,"clock_position":1165,"value":87},{"alpha_index":1629,"clock_position":1629,"value":376},{"alpha_index":2093,"clock_position":2093,"value":87},{"alpha_index":2557,"clock_position":2557,"value":839}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-238","alpha_indices":[238,702,1166,1630,2094,2558],"clock_positions":[238,702,1166,1630,2094,2558],"native_values":[437,26,437,489,900,489],"rotation_degrees":30.775862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":238,"clock_position":238,"value":437},{"alpha_index":702,"clock_position":702,"value":26},{"alpha_index":1166,"clock_position":1166,"value":437},{"alpha_index":1630,"clock_position":1630,"value":489},{"alpha_index":2094,"clock_position":2094,"value":900},{"alpha_index":2558,"clock_position":2558,"value":489}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-239","alpha_indices":[239,703,1167,1631,2095,2559],"clock_positions":[239,703,1167,1631,2095,2559],"native_values":[61,865,524,865,61,402],"rotation_degrees":30.905172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":239,"clock_position":239,"value":61},{"alpha_index":703,"clock_position":703,"value":865},{"alpha_index":1167,"clock_position":1167,"value":524},{"alpha_index":1631,"clock_position":1631,"value":865},{"alpha_index":2095,"clock_position":2095,"value":61},{"alpha_index":2559,"clock_position":2559,"value":402}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-240","alpha_indices":[240,704,1168,1632,2096,2560],"clock_positions":[240,704,1168,1632,2096,2560],"native_values":[498,891,35,428,35,891],"rotation_degrees":31.03448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":240,"clock_position":240,"value":498},{"alpha_index":704,"clock_position":704,"value":891},{"alpha_index":1168,"clock_position":1168,"value":35},{"alpha_index":1632,"clock_position":1632,"value":428},{"alpha_index":2096,"clock_position":2096,"value":35},{"alpha_index":2560,"clock_position":2560,"value":891}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-241","alpha_indices":[241,705,1169,1633,2097,2561],"clock_positions":[241,705,1169,1633,2097,2561],"native_values":[559,830,559,367,96,367],"rotation_degrees":31.163793103448278,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":241,"clock_position":241,"value":559},{"alpha_index":705,"clock_position":705,"value":830},{"alpha_index":1169,"clock_position":1169,"value":559},{"alpha_index":1633,"clock_position":1633,"value":367},{"alpha_index":2097,"clock_position":2097,"value":96},{"alpha_index":2561,"clock_position":2561,"value":367}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-242","alpha_indices":[242,706,1170,1634,2098,2562],"clock_positions":[242,706,1170,1634,2098,2562],"native_values":[131,795,594,795,131,332],"rotation_degrees":31.29310344827586,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":242,"clock_position":242,"value":131},{"alpha_index":706,"clock_position":706,"value":795},{"alpha_index":1170,"clock_position":1170,"value":594},{"alpha_index":1634,"clock_position":1634,"value":795},{"alpha_index":2098,"clock_position":2098,"value":131},{"alpha_index":2562,"clock_position":2562,"value":332}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-243","alpha_indices":[243,707,1171,1635,2099,2563],"clock_positions":[243,707,1171,1635,2099,2563],"native_values":[690,699,227,236,227,699],"rotation_degrees":31.42241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":243,"clock_position":243,"value":690},{"alpha_index":707,"clock_position":707,"value":699},{"alpha_index":1171,"clock_position":1171,"value":227},{"alpha_index":1635,"clock_position":1635,"value":236},{"alpha_index":2099,"clock_position":2099,"value":227},{"alpha_index":2563,"clock_position":2563,"value":699}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-244","alpha_indices":[244,708,1172,1636,2100,2564],"clock_positions":[244,708,1172,1636,2100,2564],"native_values":[821,568,821,105,358,105],"rotation_degrees":31.551724137931036,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":244,"clock_position":244,"value":821},{"alpha_index":708,"clock_position":708,"value":568},{"alpha_index":1172,"clock_position":1172,"value":821},{"alpha_index":1636,"clock_position":1636,"value":105},{"alpha_index":2100,"clock_position":2100,"value":358},{"alpha_index":2564,"clock_position":2564,"value":105}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-245","alpha_indices":[245,709,1173,1637,2101,2565],"clock_positions":[245,709,1173,1637,2101,2565],"native_values":[585,341,122,341,585,804],"rotation_degrees":31.68103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":245,"clock_position":245,"value":585},{"alpha_index":709,"clock_position":709,"value":341},{"alpha_index":1173,"clock_position":1173,"value":122},{"alpha_index":1637,"clock_position":1637,"value":341},{"alpha_index":2101,"clock_position":2101,"value":585},{"alpha_index":2565,"clock_position":2565,"value":804}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-246","alpha_indices":[246,710,1174,1638,2102,2566],"clock_positions":[246,710,1174,1638,2102,2566],"native_values":[480,909,17,446,17,909],"rotation_degrees":31.810344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":246,"clock_position":246,"value":480},{"alpha_index":710,"clock_position":710,"value":909},{"alpha_index":1174,"clock_position":1174,"value":17},{"alpha_index":1638,"clock_position":1638,"value":446},{"alpha_index":2102,"clock_position":2102,"value":17},{"alpha_index":2566,"clock_position":2566,"value":909}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-247","alpha_indices":[247,711,1175,1639,2103,2567],"clock_positions":[247,711,1175,1639,2103,2567],"native_values":[139,324,139,787,602,787],"rotation_degrees":31.939655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":247,"clock_position":247,"value":139},{"alpha_index":711,"clock_position":711,"value":324},{"alpha_index":1175,"clock_position":1175,"value":139},{"alpha_index":1639,"clock_position":1639,"value":787},{"alpha_index":2103,"clock_position":2103,"value":602},{"alpha_index":2567,"clock_position":2567,"value":787}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-248","alpha_indices":[248,712,1176,1640,2104,2568],"clock_positions":[248,712,1176,1640,2104,2568],"native_values":[619,307,156,307,619,770],"rotation_degrees":32.06896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":248,"clock_position":248,"value":619},{"alpha_index":712,"clock_position":712,"value":307},{"alpha_index":1176,"clock_position":1176,"value":156},{"alpha_index":1640,"clock_position":1640,"value":307},{"alpha_index":2104,"clock_position":2104,"value":619},{"alpha_index":2568,"clock_position":2568,"value":770}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-249","alpha_indices":[249,713,1177,1641,2105,2569],"clock_positions":[249,713,1177,1641,2105,2569],"native_values":[758,631,295,168,295,631],"rotation_degrees":32.19827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":249,"clock_position":249,"value":758},{"alpha_index":713,"clock_position":713,"value":631},{"alpha_index":1177,"clock_position":1177,"value":295},{"alpha_index":1641,"clock_position":1641,"value":168},{"alpha_index":2105,"clock_position":2105,"value":295},{"alpha_index":2569,"clock_position":2569,"value":631}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-250","alpha_indices":[250,714,1178,1642,2106,2570],"clock_positions":[250,714,1178,1642,2106,2570],"native_values":[451,12,451,475,914,475],"rotation_degrees":32.327586206896555,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":250,"clock_position":250,"value":451},{"alpha_index":714,"clock_position":714,"value":12},{"alpha_index":1178,"clock_position":1178,"value":451},{"alpha_index":1642,"clock_position":1642,"value":475},{"alpha_index":2106,"clock_position":2106,"value":914},{"alpha_index":2570,"clock_position":2570,"value":475}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-251","alpha_indices":[251,715,1179,1643,2107,2571],"clock_positions":[251,715,1179,1643,2107,2571],"native_values":[283,643,746,643,283,180],"rotation_degrees":32.456896551724135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":251,"clock_position":251,"value":283},{"alpha_index":715,"clock_position":715,"value":643},{"alpha_index":1179,"clock_position":1179,"value":746},{"alpha_index":1643,"clock_position":1643,"value":643},{"alpha_index":2107,"clock_position":2107,"value":283},{"alpha_index":2571,"clock_position":2571,"value":180}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-252","alpha_indices":[252,716,1180,1644,2108,2572],"clock_positions":[252,716,1180,1644,2108,2572],"native_values":[734,655,271,192,271,655],"rotation_degrees":32.58620689655172,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":252,"clock_position":252,"value":734},{"alpha_index":716,"clock_position":716,"value":655},{"alpha_index":1180,"clock_position":1180,"value":271},{"alpha_index":1644,"clock_position":1644,"value":192},{"alpha_index":2108,"clock_position":2108,"value":271},{"alpha_index":2572,"clock_position":2572,"value":655}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-253","alpha_indices":[253,717,1181,1645,2109,2573],"clock_positions":[253,717,1181,1645,2109,2573],"native_values":[91,372,91,835,554,835],"rotation_degrees":32.71551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":253,"clock_position":253,"value":91},{"alpha_index":717,"clock_position":717,"value":372},{"alpha_index":1181,"clock_position":1181,"value":91},{"alpha_index":1645,"clock_position":1645,"value":835},{"alpha_index":2109,"clock_position":2109,"value":554},{"alpha_index":2573,"clock_position":2573,"value":835}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-254","alpha_indices":[254,718,1182,1646,2110,2574],"clock_positions":[254,718,1182,1646,2110,2574],"native_values":[825,101,362,101,825,564],"rotation_degrees":32.8448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":254,"clock_position":254,"value":825},{"alpha_index":718,"clock_position":718,"value":101},{"alpha_index":1182,"clock_position":1182,"value":362},{"alpha_index":1646,"clock_position":1646,"value":101},{"alpha_index":2110,"clock_position":2110,"value":825},{"alpha_index":2574,"clock_position":2574,"value":564}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-255","alpha_indices":[255,719,1183,1647,2111,2575],"clock_positions":[255,719,1183,1647,2111,2575],"native_values":[916,473,453,10,453,473],"rotation_degrees":32.974137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":255,"clock_position":255,"value":916},{"alpha_index":719,"clock_position":719,"value":473},{"alpha_index":1183,"clock_position":1183,"value":453},{"alpha_index":1647,"clock_position":1647,"value":10},{"alpha_index":2111,"clock_position":2111,"value":453},{"alpha_index":2575,"clock_position":2575,"value":473}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-256","alpha_indices":[256,720,1184,1648,2112,2576],"clock_positions":[256,720,1184,1648,2112,2576],"native_values":[815,574,815,111,352,111],"rotation_degrees":33.10344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":256,"clock_position":256,"value":815},{"alpha_index":720,"clock_position":720,"value":574},{"alpha_index":1184,"clock_position":1184,"value":815},{"alpha_index":1648,"clock_position":1648,"value":111},{"alpha_index":2112,"clock_position":2112,"value":352},{"alpha_index":2576,"clock_position":2576,"value":111}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-257","alpha_indices":[257,721,1185,1649,2113,2577],"clock_positions":[257,721,1185,1649,2113,2577],"native_values":[805,121,342,121,805,584],"rotation_degrees":33.23275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":257,"clock_position":257,"value":805},{"alpha_index":721,"clock_position":721,"value":121},{"alpha_index":1185,"clock_position":1185,"value":342},{"alpha_index":1649,"clock_position":1649,"value":121},{"alpha_index":2113,"clock_position":2113,"value":805},{"alpha_index":2577,"clock_position":2577,"value":584}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-258","alpha_indices":[258,722,1186,1650,2114,2578],"clock_positions":[258,722,1186,1650,2114,2578],"native_values":[694,695,231,232,231,695],"rotation_degrees":33.36206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":258,"clock_position":258,"value":694},{"alpha_index":722,"clock_position":722,"value":695},{"alpha_index":1186,"clock_position":1186,"value":231},{"alpha_index":1650,"clock_position":1650,"value":232},{"alpha_index":2114,"clock_position":2114,"value":231},{"alpha_index":2578,"clock_position":2578,"value":695}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-259","alpha_indices":[259,723,1187,1651,2115,2579],"clock_positions":[259,723,1187,1651,2115,2579],"native_values":[573,816,573,353,110,353],"rotation_degrees":33.491379310344826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":259,"clock_position":259,"value":573},{"alpha_index":723,"clock_position":723,"value":816},{"alpha_index":1187,"clock_position":1187,"value":573},{"alpha_index":1651,"clock_position":1651,"value":353},{"alpha_index":2115,"clock_position":2115,"value":110},{"alpha_index":2579,"clock_position":2579,"value":353}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-260","alpha_indices":[260,724,1188,1652,2116,2580],"clock_positions":[260,724,1188,1652,2116,2580],"native_values":[341,585,804,585,341,122],"rotation_degrees":33.62068965517241,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":260,"clock_position":260,"value":341},{"alpha_index":724,"clock_position":724,"value":585},{"alpha_index":1188,"clock_position":1188,"value":804},{"alpha_index":1652,"clock_position":1652,"value":585},{"alpha_index":2116,"clock_position":2116,"value":341},{"alpha_index":2580,"clock_position":2580,"value":122}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-261","alpha_indices":[261,725,1189,1653,2117,2581],"clock_positions":[261,725,1189,1653,2117,2581],"native_values":[914,475,451,12,451,475],"rotation_degrees":33.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":261,"clock_position":261,"value":914},{"alpha_index":725,"clock_position":725,"value":475},{"alpha_index":1189,"clock_position":1189,"value":451},{"alpha_index":1653,"clock_position":1653,"value":12},{"alpha_index":2117,"clock_position":2117,"value":451},{"alpha_index":2581,"clock_position":2581,"value":475}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-262","alpha_indices":[262,726,1190,1654,2118,2582],"clock_positions":[262,726,1190,1654,2118,2582],"native_values":[329,134,329,597,792,597],"rotation_degrees":33.87931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":262,"clock_position":262,"value":329},{"alpha_index":726,"clock_position":726,"value":134},{"alpha_index":1190,"clock_position":1190,"value":329},{"alpha_index":1654,"clock_position":1654,"value":597},{"alpha_index":2118,"clock_position":2118,"value":792},{"alpha_index":2582,"clock_position":2582,"value":597}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-263","alpha_indices":[263,727,1191,1655,2119,2583],"clock_positions":[263,727,1191,1655,2119,2583],"native_values":[317,609,780,609,317,146],"rotation_degrees":34.008620689655174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":263,"clock_position":263,"value":317},{"alpha_index":727,"clock_position":727,"value":609},{"alpha_index":1191,"clock_position":1191,"value":780},{"alpha_index":1655,"clock_position":1655,"value":609},{"alpha_index":2119,"clock_position":2119,"value":317},{"alpha_index":2583,"clock_position":2583,"value":146}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-264","alpha_indices":[264,728,1192,1656,2120,2584],"clock_positions":[264,728,1192,1656,2120,2584],"native_values":[646,743,183,280,183,743],"rotation_degrees":34.13793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":264,"clock_position":264,"value":646},{"alpha_index":728,"clock_position":728,"value":743},{"alpha_index":1192,"clock_position":1192,"value":183},{"alpha_index":1656,"clock_position":1656,"value":280},{"alpha_index":2120,"clock_position":2120,"value":183},{"alpha_index":2584,"clock_position":2584,"value":743}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-265","alpha_indices":[265,729,1193,1657,2121,2585],"clock_positions":[265,729,1193,1657,2121,2585],"native_values":[37,426,37,889,500,889],"rotation_degrees":34.26724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":265,"clock_position":265,"value":37},{"alpha_index":729,"clock_position":729,"value":426},{"alpha_index":1193,"clock_position":1193,"value":37},{"alpha_index":1657,"clock_position":1657,"value":889},{"alpha_index":2121,"clock_position":2121,"value":500},{"alpha_index":2585,"clock_position":2585,"value":889}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-266","alpha_indices":[266,730,1194,1658,2122,2586],"clock_positions":[266,730,1194,1658,2122,2586],"native_values":[683,243,220,243,683,706],"rotation_degrees":34.39655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":266,"clock_position":266,"value":683},{"alpha_index":730,"clock_position":730,"value":243},{"alpha_index":1194,"clock_position":1194,"value":220},{"alpha_index":1658,"clock_position":1658,"value":243},{"alpha_index":2122,"clock_position":2122,"value":683},{"alpha_index":2586,"clock_position":2586,"value":706}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-267","alpha_indices":[267,731,1195,1659,2123,2587],"clock_positions":[267,731,1195,1659,2123,2587],"native_values":[720,669,257,206,257,669],"rotation_degrees":34.525862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":267,"clock_position":267,"value":720},{"alpha_index":731,"clock_position":731,"value":669},{"alpha_index":1195,"clock_position":1195,"value":257},{"alpha_index":1659,"clock_position":1659,"value":206},{"alpha_index":2123,"clock_position":2123,"value":257},{"alpha_index":2587,"clock_position":2587,"value":669}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-268","alpha_indices":[268,732,1196,1660,2124,2588],"clock_positions":[268,732,1196,1660,2124,2588],"native_values":[477,912,477,449,14,449],"rotation_degrees":34.6551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":268,"clock_position":268,"value":477},{"alpha_index":732,"clock_position":732,"value":912},{"alpha_index":1196,"clock_position":1196,"value":477},{"alpha_index":1660,"clock_position":1660,"value":449},{"alpha_index":2124,"clock_position":2124,"value":14},{"alpha_index":2588,"clock_position":2588,"value":449}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-269","alpha_indices":[269,733,1197,1661,2125,2589],"clock_positions":[269,733,1197,1661,2125,2589],"native_values":[271,655,734,655,271,192],"rotation_degrees":34.78448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":269,"clock_position":269,"value":271},{"alpha_index":733,"clock_position":733,"value":655},{"alpha_index":1197,"clock_position":1197,"value":734},{"alpha_index":1661,"clock_position":1661,"value":655},{"alpha_index":2125,"clock_position":2125,"value":271},{"alpha_index":2589,"clock_position":2589,"value":192}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-270","alpha_indices":[270,734,1198,1662,2126,2590],"clock_positions":[270,734,1198,1662,2126,2590],"native_values":[748,641,285,178,285,641],"rotation_degrees":34.91379310344828,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":270,"clock_position":270,"value":748},{"alpha_index":734,"clock_position":734,"value":641},{"alpha_index":1198,"clock_position":1198,"value":285},{"alpha_index":1662,"clock_position":1662,"value":178},{"alpha_index":2126,"clock_position":2126,"value":285},{"alpha_index":2590,"clock_position":2590,"value":641}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-271","alpha_indices":[271,735,1199,1663,2127,2591],"clock_positions":[271,735,1199,1663,2127,2591],"native_values":[93,370,93,833,556,833],"rotation_degrees":35.043103448275865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":271,"clock_position":271,"value":93},{"alpha_index":735,"clock_position":735,"value":370},{"alpha_index":1199,"clock_position":1199,"value":93},{"alpha_index":1663,"clock_position":1663,"value":833},{"alpha_index":2127,"clock_position":2127,"value":556},{"alpha_index":2591,"clock_position":2591,"value":833}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-272","alpha_indices":[272,736,1200,1664,2128,2592],"clock_positions":[272,736,1200,1664,2128,2592],"native_values":[841,85,378,85,841,548],"rotation_degrees":35.172413793103445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":272,"clock_position":272,"value":841},{"alpha_index":736,"clock_position":736,"value":85},{"alpha_index":1200,"clock_position":1200,"value":378},{"alpha_index":1664,"clock_position":1664,"value":85},{"alpha_index":2128,"clock_position":2128,"value":841},{"alpha_index":2592,"clock_position":2592,"value":548}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-273","alpha_indices":[273,737,1201,1665,2129,2593],"clock_positions":[273,737,1201,1665,2129,2593],"native_values":[8,455,471,918,471,455],"rotation_degrees":35.30172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":273,"clock_position":273,"value":8},{"alpha_index":737,"clock_position":737,"value":455},{"alpha_index":1201,"clock_position":1201,"value":471},{"alpha_index":1665,"clock_position":1665,"value":918},{"alpha_index":2129,"clock_position":2129,"value":471},{"alpha_index":2593,"clock_position":2593,"value":455}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-274","alpha_indices":[274,738,1202,1666,2130,2594],"clock_positions":[274,738,1202,1666,2130,2594],"native_values":[849,540,849,77,386,77],"rotation_degrees":35.43103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":274,"clock_position":274,"value":849},{"alpha_index":738,"clock_position":738,"value":540},{"alpha_index":1202,"clock_position":1202,"value":849},{"alpha_index":1666,"clock_position":1666,"value":77},{"alpha_index":2130,"clock_position":2130,"value":386},{"alpha_index":2594,"clock_position":2594,"value":77}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-275","alpha_indices":[275,739,1203,1667,2131,2595],"clock_positions":[275,739,1203,1667,2131,2595],"native_values":[857,69,394,69,857,532],"rotation_degrees":35.560344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":275,"clock_position":275,"value":857},{"alpha_index":739,"clock_position":739,"value":69},{"alpha_index":1203,"clock_position":1203,"value":394},{"alpha_index":1667,"clock_position":1667,"value":69},{"alpha_index":2131,"clock_position":2131,"value":857},{"alpha_index":2595,"clock_position":2595,"value":532}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-276","alpha_indices":[276,740,1204,1668,2132,2596],"clock_positions":[276,740,1204,1668,2132,2596],"native_values":[780,609,317,146,317,609],"rotation_degrees":35.689655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":276,"clock_position":276,"value":780},{"alpha_index":740,"clock_position":740,"value":609},{"alpha_index":1204,"clock_position":1204,"value":317},{"alpha_index":1668,"clock_position":1668,"value":146},{"alpha_index":2132,"clock_position":2132,"value":317},{"alpha_index":2596,"clock_position":2596,"value":609}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-277","alpha_indices":[277,741,1205,1669,2133,2597],"clock_positions":[277,741,1205,1669,2133,2597],"native_values":[711,678,711,215,248,215],"rotation_degrees":35.81896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":277,"clock_position":277,"value":711},{"alpha_index":741,"clock_position":741,"value":678},{"alpha_index":1205,"clock_position":1205,"value":711},{"alpha_index":1669,"clock_position":1669,"value":215},{"alpha_index":2133,"clock_position":2133,"value":248},{"alpha_index":2597,"clock_position":2597,"value":215}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-278","alpha_indices":[278,742,1206,1670,2134,2598],"clock_positions":[278,742,1206,1670,2134,2598],"native_values":[565,361,102,361,565,824],"rotation_degrees":35.94827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":278,"clock_position":278,"value":565},{"alpha_index":742,"clock_position":742,"value":361},{"alpha_index":1206,"clock_position":1206,"value":102},{"alpha_index":1670,"clock_position":1670,"value":361},{"alpha_index":2134,"clock_position":2134,"value":565},{"alpha_index":2598,"clock_position":2598,"value":824}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-279","alpha_indices":[279,743,1207,1671,2135,2599],"clock_positions":[279,743,1207,1671,2135,2599],"native_values":[350,113,813,576,813,113],"rotation_degrees":36.077586206896555,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":279,"clock_position":279,"value":350},{"alpha_index":743,"clock_position":743,"value":113},{"alpha_index":1207,"clock_position":1207,"value":813},{"alpha_index":1671,"clock_position":1671,"value":576},{"alpha_index":2135,"clock_position":2135,"value":813},{"alpha_index":2599,"clock_position":2599,"value":113}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-280","alpha_indices":[280,744,1208,1672,2136,2600],"clock_positions":[280,744,1208,1672,2136,2600],"native_values":[915,474,915,11,452,11],"rotation_degrees":36.206896551724135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":280,"clock_position":280,"value":915},{"alpha_index":744,"clock_position":744,"value":474},{"alpha_index":1208,"clock_position":1208,"value":915},{"alpha_index":1672,"clock_position":1672,"value":11},{"alpha_index":2136,"clock_position":2136,"value":452},{"alpha_index":2600,"clock_position":2600,"value":11}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-281","alpha_indices":[281,745,1209,1673,2137,2601],"clock_positions":[281,745,1209,1673,2137,2601],"native_values":[339,587,802,587,339,124],"rotation_degrees":36.33620689655172,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":281,"clock_position":281,"value":339},{"alpha_index":745,"clock_position":745,"value":587},{"alpha_index":1209,"clock_position":1209,"value":802},{"alpha_index":1673,"clock_position":1673,"value":587},{"alpha_index":2137,"clock_position":2137,"value":339},{"alpha_index":2601,"clock_position":2601,"value":124}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-282","alpha_indices":[282,746,1210,1674,2138,2602],"clock_positions":[282,746,1210,1674,2138,2602],"native_values":[328,135,791,598,791,135],"rotation_degrees":36.46551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":282,"clock_position":282,"value":328},{"alpha_index":746,"clock_position":746,"value":135},{"alpha_index":1210,"clock_position":1210,"value":791},{"alpha_index":1674,"clock_position":1674,"value":598},{"alpha_index":2138,"clock_position":2138,"value":791},{"alpha_index":2602,"clock_position":2602,"value":135}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-283","alpha_indices":[283,747,1211,1675,2139,2603],"clock_positions":[283,747,1211,1675,2139,2603],"native_values":[667,722,667,259,204,259],"rotation_degrees":36.5948275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":283,"clock_position":283,"value":667},{"alpha_index":747,"clock_position":747,"value":722},{"alpha_index":1211,"clock_position":1211,"value":667},{"alpha_index":1675,"clock_position":1675,"value":259},{"alpha_index":2139,"clock_position":2139,"value":204},{"alpha_index":2603,"clock_position":2603,"value":259}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-284","alpha_indices":[284,748,1212,1676,2140,2604],"clock_positions":[284,748,1212,1676,2140,2604],"native_values":[69,857,532,857,69,394],"rotation_degrees":36.724137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":284,"clock_position":284,"value":69},{"alpha_index":748,"clock_position":748,"value":857},{"alpha_index":1212,"clock_position":1212,"value":532},{"alpha_index":1676,"clock_position":1676,"value":857},{"alpha_index":2140,"clock_position":2140,"value":69},{"alpha_index":2604,"clock_position":2604,"value":394}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-285","alpha_indices":[285,749,1213,1677,2141,2605],"clock_positions":[285,749,1213,1677,2141,2605],"native_values":[736,653,273,190,273,653],"rotation_degrees":36.85344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":285,"clock_position":285,"value":736},{"alpha_index":749,"clock_position":749,"value":653},{"alpha_index":1213,"clock_position":1213,"value":273},{"alpha_index":1677,"clock_position":1677,"value":190},{"alpha_index":2141,"clock_position":2141,"value":273},{"alpha_index":2605,"clock_position":2605,"value":653}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-286","alpha_indices":[286,750,1214,1678,2142,2606],"clock_positions":[286,750,1214,1678,2142,2606],"native_values":[805,584,805,121,342,121],"rotation_degrees":36.98275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":286,"clock_position":286,"value":805},{"alpha_index":750,"clock_position":750,"value":584},{"alpha_index":1214,"clock_position":1214,"value":805},{"alpha_index":1678,"clock_position":1678,"value":121},{"alpha_index":2142,"clock_position":2142,"value":342},{"alpha_index":2606,"clock_position":2606,"value":121}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-287","alpha_indices":[287,751,1215,1679,2143,2607],"clock_positions":[287,751,1215,1679,2143,2607],"native_values":[615,311,152,311,615,774],"rotation_degrees":37.11206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":287,"clock_position":287,"value":615},{"alpha_index":751,"clock_position":751,"value":311},{"alpha_index":1215,"clock_position":1215,"value":152},{"alpha_index":1679,"clock_position":1679,"value":311},{"alpha_index":2143,"clock_position":2143,"value":615},{"alpha_index":2607,"clock_position":2607,"value":774}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-288","alpha_indices":[288,752,1216,1680,2144,2608],"clock_positions":[288,752,1216,1680,2144,2608],"native_values":[494,895,31,432,31,895],"rotation_degrees":37.241379310344826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":288,"clock_position":288,"value":494},{"alpha_index":752,"clock_position":752,"value":895},{"alpha_index":1216,"clock_position":1216,"value":31},{"alpha_index":1680,"clock_position":1680,"value":432},{"alpha_index":2144,"clock_position":2144,"value":31},{"alpha_index":2608,"clock_position":2608,"value":895}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-289","alpha_indices":[289,753,1217,1681,2145,2609],"clock_positions":[289,753,1217,1681,2145,2609],"native_values":[183,280,183,743,646,743],"rotation_degrees":37.37068965517241,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":289,"clock_position":289,"value":183},{"alpha_index":753,"clock_position":753,"value":280},{"alpha_index":1217,"clock_position":1217,"value":183},{"alpha_index":1681,"clock_position":1681,"value":743},{"alpha_index":2145,"clock_position":2145,"value":646},{"alpha_index":2609,"clock_position":2609,"value":743}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-290","alpha_indices":[290,754,1218,1682,2146,2610],"clock_positions":[290,754,1218,1682,2146,2610],"native_values":[677,249,214,249,677,712],"rotation_degrees":37.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":290,"clock_position":290,"value":677},{"alpha_index":754,"clock_position":754,"value":249},{"alpha_index":1218,"clock_position":1218,"value":214},{"alpha_index":1682,"clock_position":1682,"value":249},{"alpha_index":2146,"clock_position":2146,"value":677},{"alpha_index":2610,"clock_position":2610,"value":712}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-291","alpha_indices":[291,755,1219,1683,2147,2611],"clock_positions":[291,755,1219,1683,2147,2611],"native_values":[860,529,397,66,397,529],"rotation_degrees":37.62931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":291,"clock_position":291,"value":860},{"alpha_index":755,"clock_position":755,"value":529},{"alpha_index":1219,"clock_position":1219,"value":397},{"alpha_index":1683,"clock_position":1683,"value":66},{"alpha_index":2147,"clock_position":2147,"value":397},{"alpha_index":2611,"clock_position":2611,"value":529}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-292","alpha_indices":[292,756,1220,1684,2148,2612],"clock_positions":[292,756,1220,1684,2148,2612],"native_values":[611,778,611,315,148,315],"rotation_degrees":37.758620689655174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":292,"clock_position":292,"value":611},{"alpha_index":756,"clock_position":756,"value":778},{"alpha_index":1220,"clock_position":1220,"value":611},{"alpha_index":1684,"clock_position":1684,"value":315},{"alpha_index":2148,"clock_position":2148,"value":148},{"alpha_index":2612,"clock_position":2612,"value":315}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-293","alpha_indices":[293,757,1221,1685,2149,2613],"clock_positions":[293,757,1221,1685,2149,2613],"native_values":[545,381,82,381,545,844],"rotation_degrees":37.88793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":293,"clock_position":293,"value":545},{"alpha_index":757,"clock_position":757,"value":381},{"alpha_index":1221,"clock_position":1221,"value":82},{"alpha_index":1685,"clock_position":1685,"value":381},{"alpha_index":2149,"clock_position":2149,"value":545},{"alpha_index":2613,"clock_position":2613,"value":844}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-294","alpha_indices":[294,758,1222,1686,2150,2614],"clock_positions":[294,758,1222,1686,2150,2614],"native_values":[230,233,693,696,693,233],"rotation_degrees":38.01724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":294,"clock_position":294,"value":230},{"alpha_index":758,"clock_position":758,"value":233},{"alpha_index":1222,"clock_position":1222,"value":693},{"alpha_index":1686,"clock_position":1686,"value":696},{"alpha_index":2150,"clock_position":2150,"value":693},{"alpha_index":2614,"clock_position":2614,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-295","alpha_indices":[295,759,1223,1687,2151,2615],"clock_positions":[295,759,1223,1687,2151,2615],"native_values":[775,614,775,151,312,151],"rotation_degrees":38.14655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":295,"clock_position":295,"value":775},{"alpha_index":759,"clock_position":759,"value":614},{"alpha_index":1223,"clock_position":1223,"value":775},{"alpha_index":1687,"clock_position":1687,"value":151},{"alpha_index":2151,"clock_position":2151,"value":312},{"alpha_index":2615,"clock_position":2615,"value":151}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-296","alpha_indices":[296,760,1224,1688,2152,2616],"clock_positions":[296,760,1224,1688,2152,2616],"native_values":[79,847,542,847,79,384],"rotation_degrees":38.275862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":296,"clock_position":296,"value":79},{"alpha_index":760,"clock_position":760,"value":847},{"alpha_index":1224,"clock_position":1224,"value":542},{"alpha_index":1688,"clock_position":1688,"value":847},{"alpha_index":2152,"clock_position":2152,"value":79},{"alpha_index":2616,"clock_position":2616,"value":384}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-297","alpha_indices":[297,761,1225,1689,2153,2617],"clock_positions":[297,761,1225,1689,2153,2617],"native_values":[854,535,391,72,391,535],"rotation_degrees":38.4051724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":297,"clock_position":297,"value":854},{"alpha_index":761,"clock_position":761,"value":535},{"alpha_index":1225,"clock_position":1225,"value":391},{"alpha_index":1689,"clock_position":1689,"value":72},{"alpha_index":2153,"clock_position":2153,"value":391},{"alpha_index":2617,"clock_position":2617,"value":535}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-298","alpha_indices":[298,762,1226,1690,2154,2618],"clock_positions":[298,762,1226,1690,2154,2618],"native_values":[7,456,7,919,470,919],"rotation_degrees":38.53448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":298,"clock_position":298,"value":7},{"alpha_index":762,"clock_position":762,"value":456},{"alpha_index":1226,"clock_position":1226,"value":7},{"alpha_index":1690,"clock_position":1690,"value":919},{"alpha_index":2154,"clock_position":2154,"value":470},{"alpha_index":2618,"clock_position":2618,"value":919}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-299","alpha_indices":[299,763,1227,1691,2155,2619],"clock_positions":[299,763,1227,1691,2155,2619],"native_values":[861,65,398,65,861,528],"rotation_degrees":38.66379310344828,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":299,"clock_position":299,"value":861},{"alpha_index":763,"clock_position":763,"value":65},{"alpha_index":1227,"clock_position":1227,"value":398},{"alpha_index":1691,"clock_position":1691,"value":65},{"alpha_index":2155,"clock_position":2155,"value":861},{"alpha_index":2619,"clock_position":2619,"value":528}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-300","alpha_indices":[300,764,1228,1692,2156,2620],"clock_positions":[300,764,1228,1692,2156,2620],"native_values":[868,521,405,58,405,521],"rotation_degrees":38.793103448275865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":300,"clock_position":300,"value":868},{"alpha_index":764,"clock_position":764,"value":521},{"alpha_index":1228,"clock_position":1228,"value":405},{"alpha_index":1692,"clock_position":1692,"value":58},{"alpha_index":2156,"clock_position":2156,"value":405},{"alpha_index":2620,"clock_position":2620,"value":521}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-301","alpha_indices":[301,765,1229,1693,2157,2621],"clock_positions":[301,765,1229,1693,2157,2621],"native_values":[803,586,803,123,340,123],"rotation_degrees":38.922413793103445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":301,"clock_position":301,"value":803},{"alpha_index":765,"clock_position":765,"value":586},{"alpha_index":1229,"clock_position":1229,"value":803},{"alpha_index":1693,"clock_position":1693,"value":123},{"alpha_index":2157,"clock_position":2157,"value":340},{"alpha_index":2621,"clock_position":2621,"value":123}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-302","alpha_indices":[302,766,1230,1694,2158,2622],"clock_positions":[302,766,1230,1694,2158,2622],"native_values":[745,181,282,181,745,644],"rotation_degrees":39.05172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":302,"clock_position":302,"value":745},{"alpha_index":766,"clock_position":766,"value":181},{"alpha_index":1230,"clock_position":1230,"value":282},{"alpha_index":1694,"clock_position":1694,"value":181},{"alpha_index":2158,"clock_position":2158,"value":745},{"alpha_index":2622,"clock_position":2622,"value":644}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-303","alpha_indices":[303,767,1231,1695,2159,2623],"clock_positions":[303,767,1231,1695,2159,2623],"native_values":[622,767,159,304,159,767],"rotation_degrees":39.18103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":303,"clock_position":303,"value":622},{"alpha_index":767,"clock_position":767,"value":767},{"alpha_index":1231,"clock_position":1231,"value":159},{"alpha_index":1695,"clock_position":1695,"value":304},{"alpha_index":2159,"clock_position":2159,"value":159},{"alpha_index":2623,"clock_position":2623,"value":767}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-304","alpha_indices":[304,768,1232,1696,2160,2624],"clock_positions":[304,768,1232,1696,2160,2624],"native_values":[441,22,441,485,904,485],"rotation_degrees":39.310344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":304,"clock_position":304,"value":441},{"alpha_index":768,"clock_position":768,"value":22},{"alpha_index":1232,"clock_position":1232,"value":441},{"alpha_index":1696,"clock_position":1696,"value":485},{"alpha_index":2160,"clock_position":2160,"value":904},{"alpha_index":2624,"clock_position":2624,"value":485}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-305","alpha_indices":[305,769,1233,1697,2161,2625],"clock_positions":[305,769,1233,1697,2161,2625],"native_values":[137,789,600,789,137,326],"rotation_degrees":39.439655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":305,"clock_position":305,"value":137},{"alpha_index":769,"clock_position":769,"value":789},{"alpha_index":1233,"clock_position":1233,"value":600},{"alpha_index":1697,"clock_position":1697,"value":789},{"alpha_index":2161,"clock_position":2161,"value":137},{"alpha_index":2625,"clock_position":2625,"value":326}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-306","alpha_indices":[306,770,1234,1698,2162,2626],"clock_positions":[306,770,1234,1698,2162,2626],"native_values":[578,811,115,348,115,811],"rotation_degrees":39.56896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":306,"clock_position":306,"value":578},{"alpha_index":770,"clock_position":770,"value":811},{"alpha_index":1234,"clock_position":1234,"value":115},{"alpha_index":1698,"clock_position":1698,"value":348},{"alpha_index":2162,"clock_position":2162,"value":115},{"alpha_index":2626,"clock_position":2626,"value":811}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-307","alpha_indices":[307,771,1235,1699,2163,2627],"clock_positions":[307,771,1235,1699,2163,2627],"native_values":[715,674,715,211,252,211],"rotation_degrees":39.69827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":307,"clock_position":307,"value":715},{"alpha_index":771,"clock_position":771,"value":674},{"alpha_index":1235,"clock_position":1235,"value":715},{"alpha_index":1699,"clock_position":1699,"value":211},{"alpha_index":2163,"clock_position":2163,"value":252},{"alpha_index":2627,"clock_position":2627,"value":211}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-308","alpha_indices":[308,772,1236,1700,2164,2628],"clock_positions":[308,772,1236,1700,2164,2628],"native_values":[367,559,830,559,367,96],"rotation_degrees":39.827586206896555,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":308,"clock_position":308,"value":367},{"alpha_index":772,"clock_position":772,"value":559},{"alpha_index":1236,"clock_position":1236,"value":830},{"alpha_index":1700,"clock_position":1700,"value":559},{"alpha_index":2164,"clock_position":2164,"value":367},{"alpha_index":2628,"clock_position":2628,"value":96}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-309","alpha_indices":[309,773,1237,1701,2165,2629],"clock_positions":[309,773,1237,1701,2165,2629],"native_values":[156,307,619,770,619,307],"rotation_degrees":39.956896551724135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":309,"clock_position":309,"value":156},{"alpha_index":773,"clock_position":773,"value":307},{"alpha_index":1237,"clock_position":1237,"value":619},{"alpha_index":1701,"clock_position":1701,"value":770},{"alpha_index":2165,"clock_position":2165,"value":619},{"alpha_index":2629,"clock_position":2629,"value":307}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-310","alpha_indices":[310,774,1238,1702,2166,2630],"clock_positions":[310,774,1238,1702,2166,2630],"native_values":[523,866,523,403,60,403],"rotation_degrees":40.08620689655172,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":310,"clock_position":310,"value":523},{"alpha_index":774,"clock_position":774,"value":866},{"alpha_index":1238,"clock_position":1238,"value":523},{"alpha_index":1702,"clock_position":1702,"value":403},{"alpha_index":2166,"clock_position":2166,"value":60},{"alpha_index":2630,"clock_position":2630,"value":403}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-311","alpha_indices":[311,775,1239,1703,2167,2631],"clock_positions":[311,775,1239,1703,2167,2631],"native_values":[679,247,216,247,679,710],"rotation_degrees":40.21551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":311,"clock_position":311,"value":679},{"alpha_index":775,"clock_position":775,"value":247},{"alpha_index":1239,"clock_position":1239,"value":216},{"alpha_index":1703,"clock_position":1703,"value":247},{"alpha_index":2167,"clock_position":2167,"value":679},{"alpha_index":2631,"clock_position":2631,"value":710}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-312","alpha_indices":[312,776,1240,1704,2168,2632],"clock_positions":[312,776,1240,1704,2168,2632],"native_values":[276,187,739,650,739,187],"rotation_degrees":40.3448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":312,"clock_position":312,"value":276},{"alpha_index":776,"clock_position":776,"value":187},{"alpha_index":1240,"clock_position":1240,"value":739},{"alpha_index":1704,"clock_position":1704,"value":650},{"alpha_index":2168,"clock_position":2168,"value":739},{"alpha_index":2632,"clock_position":2632,"value":187}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-313","alpha_indices":[313,777,1241,1705,2169,2633],"clock_positions":[313,777,1241,1705,2169,2633],"native_values":[29,434,29,897,492,897],"rotation_degrees":40.474137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":313,"clock_position":313,"value":29},{"alpha_index":777,"clock_position":777,"value":434},{"alpha_index":1241,"clock_position":1241,"value":29},{"alpha_index":1705,"clock_position":1705,"value":897},{"alpha_index":2169,"clock_position":2169,"value":492},{"alpha_index":2633,"clock_position":2633,"value":897}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-314","alpha_indices":[314,778,1242,1706,2170,2634],"clock_positions":[314,778,1242,1706,2170,2634],"native_values":[305,621,768,621,305,158],"rotation_degrees":40.60344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":314,"clock_position":314,"value":305},{"alpha_index":778,"clock_position":778,"value":621},{"alpha_index":1242,"clock_position":1242,"value":768},{"alpha_index":1706,"clock_position":1706,"value":621},{"alpha_index":2170,"clock_position":2170,"value":305},{"alpha_index":2634,"clock_position":2634,"value":158}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-315","alpha_indices":[315,779,1243,1707,2171,2635],"clock_positions":[315,779,1243,1707,2171,2635],"native_values":[334,129,797,592,797,129],"rotation_degrees":40.73275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":315,"clock_position":315,"value":334},{"alpha_index":779,"clock_position":779,"value":129},{"alpha_index":1243,"clock_position":1243,"value":797},{"alpha_index":1707,"clock_position":1707,"value":592},{"alpha_index":2171,"clock_position":2171,"value":797},{"alpha_index":2635,"clock_position":2635,"value":129}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-316","alpha_indices":[316,780,1244,1708,2172,2636],"clock_positions":[316,780,1244,1708,2172,2636],"native_values":[639,750,639,287,176,287],"rotation_degrees":40.86206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":316,"clock_position":316,"value":639},{"alpha_index":780,"clock_position":780,"value":750},{"alpha_index":1244,"clock_position":1244,"value":639},{"alpha_index":1708,"clock_position":1708,"value":287},{"alpha_index":2172,"clock_position":2172,"value":176},{"alpha_index":2636,"clock_position":2636,"value":287}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-317","alpha_indices":[317,781,1245,1709,2173,2637],"clock_positions":[317,781,1245,1709,2173,2637],"native_values":[47,879,510,879,47,416],"rotation_degrees":40.991379310344826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":317,"clock_position":317,"value":47},{"alpha_index":781,"clock_position":781,"value":879},{"alpha_index":1245,"clock_position":1245,"value":510},{"alpha_index":1709,"clock_position":1709,"value":879},{"alpha_index":2173,"clock_position":2173,"value":47},{"alpha_index":2637,"clock_position":2637,"value":416}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-318","alpha_indices":[318,782,1246,1710,2174,2638],"clock_positions":[318,782,1246,1710,2174,2638],"native_values":[686,703,223,240,223,703],"rotation_degrees":41.12068965517241,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":318,"clock_position":318,"value":686},{"alpha_index":782,"clock_position":782,"value":703},{"alpha_index":1246,"clock_position":1246,"value":223},{"alpha_index":1710,"clock_position":1710,"value":240},{"alpha_index":2174,"clock_position":2174,"value":223},{"alpha_index":2638,"clock_position":2638,"value":703}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-319","alpha_indices":[319,783,1247,1711,2175,2639],"clock_positions":[319,783,1247,1711,2175,2639],"native_values":[733,656,733,193,270,193],"rotation_degrees":41.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":319,"clock_position":319,"value":733},{"alpha_index":783,"clock_position":783,"value":656},{"alpha_index":1247,"clock_position":1247,"value":733},{"alpha_index":1711,"clock_position":1711,"value":193},{"alpha_index":2175,"clock_position":2175,"value":270},{"alpha_index":2639,"clock_position":2639,"value":193}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-320","alpha_indices":[320,784,1248,1712,2176,2640],"clock_positions":[320,784,1248,1712,2176,2640],"native_values":[493,433,30,433,493,896],"rotation_degrees":41.37931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":320,"clock_position":320,"value":493},{"alpha_index":784,"clock_position":784,"value":433},{"alpha_index":1248,"clock_position":1248,"value":30},{"alpha_index":1712,"clock_position":1712,"value":433},{"alpha_index":2176,"clock_position":2176,"value":493},{"alpha_index":2640,"clock_position":2640,"value":896}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-321","alpha_indices":[321,785,1249,1713,2177,2641],"clock_positions":[321,785,1249,1713,2177,2641],"native_values":[300,163,763,626,763,163],"rotation_degrees":41.508620689655174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":321,"clock_position":321,"value":300},{"alpha_index":785,"clock_position":785,"value":163},{"alpha_index":1249,"clock_position":1249,"value":763},{"alpha_index":1713,"clock_position":1713,"value":626},{"alpha_index":2177,"clock_position":2177,"value":763},{"alpha_index":2641,"clock_position":2641,"value":163}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-322","alpha_indices":[322,786,1250,1714,2178,2642],"clock_positions":[322,786,1250,1714,2178,2642],"native_values":[793,596,793,133,330,133],"rotation_degrees":41.63793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":322,"clock_position":322,"value":793},{"alpha_index":786,"clock_position":786,"value":596},{"alpha_index":1250,"clock_position":1250,"value":793},{"alpha_index":1714,"clock_position":1714,"value":133},{"alpha_index":2178,"clock_position":2178,"value":330},{"alpha_index":2642,"clock_position":2642,"value":133}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-323","alpha_indices":[323,787,1251,1715,2179,2643],"clock_positions":[323,787,1251,1715,2179,2643],"native_values":[167,759,630,759,167,296],"rotation_degrees":41.76724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":323,"clock_position":323,"value":167},{"alpha_index":787,"clock_position":787,"value":759},{"alpha_index":1251,"clock_position":1251,"value":630},{"alpha_index":1715,"clock_position":1715,"value":759},{"alpha_index":2179,"clock_position":2179,"value":167},{"alpha_index":2643,"clock_position":2643,"value":296}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-324","alpha_indices":[324,788,1252,1716,2180,2644],"clock_positions":[324,788,1252,1716,2180,2644],"native_values":[34,429,497,892,497,429],"rotation_degrees":41.89655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":324,"clock_position":324,"value":34},{"alpha_index":788,"clock_position":788,"value":429},{"alpha_index":1252,"clock_position":1252,"value":497},{"alpha_index":1716,"clock_position":1716,"value":892},{"alpha_index":2180,"clock_position":2180,"value":497},{"alpha_index":2644,"clock_position":2644,"value":429}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-325","alpha_indices":[325,789,1253,1717,2181,2645],"clock_positions":[325,789,1253,1717,2181,2645],"native_values":[201,262,201,725,664,725],"rotation_degrees":42.025862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":325,"clock_position":325,"value":201},{"alpha_index":789,"clock_position":789,"value":262},{"alpha_index":1253,"clock_position":1253,"value":201},{"alpha_index":1717,"clock_position":1717,"value":725},{"alpha_index":2181,"clock_position":2181,"value":664},{"alpha_index":2645,"clock_position":2645,"value":725}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-326","alpha_indices":[326,790,1254,1718,2182,2646],"clock_positions":[326,790,1254,1718,2182,2646],"native_values":[235,691,698,691,235,228],"rotation_degrees":42.1551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":326,"clock_position":326,"value":235},{"alpha_index":790,"clock_position":790,"value":691},{"alpha_index":1254,"clock_position":1254,"value":698},{"alpha_index":1718,"clock_position":1718,"value":691},{"alpha_index":2182,"clock_position":2182,"value":235},{"alpha_index":2646,"clock_position":2646,"value":228}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-327","alpha_indices":[327,791,1255,1719,2183,2647],"clock_positions":[327,791,1255,1719,2183,2647],"native_values":[436,27,899,490,899,27],"rotation_degrees":42.28448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":327,"clock_position":327,"value":436},{"alpha_index":791,"clock_position":791,"value":27},{"alpha_index":1255,"clock_position":1255,"value":899},{"alpha_index":1719,"clock_position":1719,"value":490},{"alpha_index":2183,"clock_position":2183,"value":899},{"alpha_index":2647,"clock_position":2647,"value":27}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-328","alpha_indices":[328,792,1256,1720,2184,2648],"clock_positions":[328,792,1256,1720,2184,2648],"native_values":[671,718,671,255,208,255],"rotation_degrees":42.41379310344828,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":328,"clock_position":328,"value":671},{"alpha_index":792,"clock_position":792,"value":718},{"alpha_index":1256,"clock_position":1256,"value":671},{"alpha_index":1720,"clock_position":1720,"value":255},{"alpha_index":2184,"clock_position":2184,"value":208},{"alpha_index":2648,"clock_position":2648,"value":255}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-329","alpha_indices":[329,793,1257,1721,2185,2649],"clock_positions":[329,793,1257,1721,2185,2649],"native_values":[181,745,644,745,181,282],"rotation_degrees":42.543103448275865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":329,"clock_position":329,"value":181},{"alpha_index":793,"clock_position":793,"value":745},{"alpha_index":1257,"clock_position":1257,"value":644},{"alpha_index":1721,"clock_position":1721,"value":745},{"alpha_index":2185,"clock_position":2185,"value":181},{"alpha_index":2649,"clock_position":2649,"value":282}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-330","alpha_indices":[330,794,1258,1722,2186,2650],"clock_positions":[330,794,1258,1722,2186,2650],"native_values":[852,537,389,74,389,537],"rotation_degrees":42.672413793103445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":330,"clock_position":330,"value":852},{"alpha_index":794,"clock_position":794,"value":537},{"alpha_index":1258,"clock_position":1258,"value":389},{"alpha_index":1722,"clock_position":1722,"value":74},{"alpha_index":2186,"clock_position":2186,"value":389},{"alpha_index":2650,"clock_position":2650,"value":537}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-331","alpha_indices":[331,795,1259,1723,2187,2651],"clock_positions":[331,795,1259,1723,2187,2651],"native_values":[107,356,107,819,570,819],"rotation_degrees":42.80172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":331,"clock_position":331,"value":107},{"alpha_index":795,"clock_position":795,"value":356},{"alpha_index":1259,"clock_position":1259,"value":107},{"alpha_index":1723,"clock_position":1723,"value":819},{"alpha_index":2187,"clock_position":2187,"value":570},{"alpha_index":2651,"clock_position":2651,"value":819}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-332","alpha_indices":[332,796,1260,1724,2188,2652],"clock_positions":[332,796,1260,1724,2188,2652],"native_values":[33,893,496,893,33,430],"rotation_degrees":42.93103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":332,"clock_position":332,"value":33},{"alpha_index":796,"clock_position":796,"value":893},{"alpha_index":1260,"clock_position":1260,"value":496},{"alpha_index":1724,"clock_position":1724,"value":893},{"alpha_index":2188,"clock_position":2188,"value":33},{"alpha_index":2652,"clock_position":2652,"value":430}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-333","alpha_indices":[333,797,1261,1725,2189,2653],"clock_positions":[333,797,1261,1725,2189,2653],"native_values":[140,323,603,786,603,323],"rotation_degrees":43.060344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":333,"clock_position":333,"value":140},{"alpha_index":797,"clock_position":797,"value":323},{"alpha_index":1261,"clock_position":1261,"value":603},{"alpha_index":1725,"clock_position":1725,"value":786},{"alpha_index":2189,"clock_position":2189,"value":603},{"alpha_index":2653,"clock_position":2653,"value":323}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-334","alpha_indices":[334,798,1262,1726,2190,2654],"clock_positions":[334,798,1262,1726,2190,2654],"native_values":[173,290,173,753,636,753],"rotation_degrees":43.189655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":334,"clock_position":334,"value":173},{"alpha_index":798,"clock_position":798,"value":290},{"alpha_index":1262,"clock_position":1262,"value":173},{"alpha_index":1726,"clock_position":1726,"value":753},{"alpha_index":2190,"clock_position":2190,"value":636},{"alpha_index":2654,"clock_position":2654,"value":753}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-335","alpha_indices":[335,799,1263,1727,2191,2655],"clock_positions":[335,799,1263,1727,2191,2655],"native_values":[313,613,776,613,313,150],"rotation_degrees":43.31896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":335,"clock_position":335,"value":313},{"alpha_index":799,"clock_position":799,"value":613},{"alpha_index":1263,"clock_position":1263,"value":776},{"alpha_index":1727,"clock_position":1727,"value":613},{"alpha_index":2191,"clock_position":2191,"value":313},{"alpha_index":2655,"clock_position":2655,"value":150}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-336","alpha_indices":[336,800,1264,1728,2192,2656],"clock_positions":[336,800,1264,1728,2192,2656],"native_values":[486,903,23,440,23,903],"rotation_degrees":43.44827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":336,"clock_position":336,"value":486},{"alpha_index":800,"clock_position":800,"value":903},{"alpha_index":1264,"clock_position":1264,"value":23},{"alpha_index":1728,"clock_position":1728,"value":440},{"alpha_index":2192,"clock_position":2192,"value":23},{"alpha_index":2656,"clock_position":2656,"value":903}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-337","alpha_indices":[337,801,1265,1729,2193,2657],"clock_positions":[337,801,1265,1729,2193,2657],"native_values":[799,590,799,127,336,127],"rotation_degrees":43.577586206896555,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":337,"clock_position":337,"value":799},{"alpha_index":801,"clock_position":801,"value":590},{"alpha_index":1265,"clock_position":1265,"value":799},{"alpha_index":1729,"clock_position":1729,"value":127},{"alpha_index":2193,"clock_position":2193,"value":336},{"alpha_index":2657,"clock_position":2657,"value":127}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-338","alpha_indices":[338,802,1266,1730,2194,2658],"clock_positions":[338,802,1266,1730,2194,2658],"native_values":[359,567,822,567,359,104],"rotation_degrees":43.706896551724135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":338,"clock_position":338,"value":359},{"alpha_index":802,"clock_position":802,"value":567},{"alpha_index":1266,"clock_position":1266,"value":822},{"alpha_index":1730,"clock_position":1730,"value":567},{"alpha_index":2194,"clock_position":2194,"value":359},{"alpha_index":2658,"clock_position":2658,"value":104}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-339","alpha_indices":[339,803,1267,1731,2195,2659],"clock_positions":[339,803,1267,1731,2195,2659],"native_values":[232,231,695,694,695,231],"rotation_degrees":43.83620689655172,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":339,"clock_position":339,"value":232},{"alpha_index":803,"clock_position":803,"value":231},{"alpha_index":1267,"clock_position":1267,"value":695},{"alpha_index":1731,"clock_position":1731,"value":694},{"alpha_index":2195,"clock_position":2195,"value":695},{"alpha_index":2659,"clock_position":2659,"value":231}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-340","alpha_indices":[340,804,1268,1732,2196,2660],"clock_positions":[340,804,1268,1732,2196,2660],"native_values":[591,798,591,335,128,335],"rotation_degrees":43.96551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":340,"clock_position":340,"value":591},{"alpha_index":804,"clock_position":804,"value":798},{"alpha_index":1268,"clock_position":1268,"value":591},{"alpha_index":1732,"clock_position":1732,"value":335},{"alpha_index":2196,"clock_position":2196,"value":128},{"alpha_index":2660,"clock_position":2660,"value":335}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-341","alpha_indices":[341,805,1269,1733,2197,2661],"clock_positions":[341,805,1269,1733,2197,2661],"native_values":[823,103,360,103,823,566],"rotation_degrees":44.0948275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":341,"clock_position":341,"value":823},{"alpha_index":805,"clock_position":805,"value":103},{"alpha_index":1269,"clock_position":1269,"value":360},{"alpha_index":1733,"clock_position":1733,"value":103},{"alpha_index":2197,"clock_position":2197,"value":823},{"alpha_index":2661,"clock_position":2661,"value":566}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-342","alpha_indices":[342,806,1270,1734,2198,2662],"clock_positions":[342,806,1270,1734,2198,2662],"native_values":[488,901,25,438,25,901],"rotation_degrees":44.224137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":342,"clock_position":342,"value":488},{"alpha_index":806,"clock_position":806,"value":901},{"alpha_index":1270,"clock_position":1270,"value":25},{"alpha_index":1734,"clock_position":1734,"value":438},{"alpha_index":2198,"clock_position":2198,"value":25},{"alpha_index":2662,"clock_position":2662,"value":901}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-343","alpha_indices":[343,807,1271,1735,2199,2663],"clock_positions":[343,807,1271,1735,2199,2663],"native_values":[385,78,385,541,848,541],"rotation_degrees":44.35344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":343,"clock_position":343,"value":385},{"alpha_index":807,"clock_position":807,"value":78},{"alpha_index":1271,"clock_position":1271,"value":385},{"alpha_index":1735,"clock_position":1735,"value":541},{"alpha_index":2199,"clock_position":2199,"value":848},{"alpha_index":2663,"clock_position":2663,"value":541}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-344","alpha_indices":[344,808,1272,1736,2200,2664],"clock_positions":[344,808,1272,1736,2200,2664],"native_values":[873,53,410,53,873,516],"rotation_degrees":44.48275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":344,"clock_position":344,"value":873},{"alpha_index":808,"clock_position":808,"value":53},{"alpha_index":1272,"clock_position":1272,"value":410},{"alpha_index":1736,"clock_position":1736,"value":53},{"alpha_index":2200,"clock_position":2200,"value":873},{"alpha_index":2664,"clock_position":2664,"value":516}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-345","alpha_indices":[345,809,1273,1737,2201,2665],"clock_positions":[345,809,1273,1737,2201,2665],"native_values":[332,131,795,594,795,131],"rotation_degrees":44.61206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":345,"clock_position":345,"value":332},{"alpha_index":809,"clock_position":809,"value":131},{"alpha_index":1273,"clock_position":1273,"value":795},{"alpha_index":1737,"clock_position":1737,"value":594},{"alpha_index":2201,"clock_position":2201,"value":795},{"alpha_index":2665,"clock_position":2665,"value":131}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-346","alpha_indices":[346,810,1274,1738,2202,2666],"clock_positions":[346,810,1274,1738,2202,2666],"native_values":[279,184,279,647,742,647],"rotation_degrees":44.741379310344826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":346,"clock_position":346,"value":279},{"alpha_index":810,"clock_position":810,"value":184},{"alpha_index":1274,"clock_position":1274,"value":279},{"alpha_index":1738,"clock_position":1738,"value":647},{"alpha_index":2202,"clock_position":2202,"value":742},{"alpha_index":2666,"clock_position":2666,"value":647}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-347","alpha_indices":[347,811,1275,1739,2203,2667],"clock_positions":[347,811,1275,1739,2203,2667],"native_values":[611,315,148,315,611,778],"rotation_degrees":44.87068965517241,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":347,"clock_position":347,"value":611},{"alpha_index":811,"clock_position":811,"value":315},{"alpha_index":1275,"clock_position":1275,"value":148},{"alpha_index":1739,"clock_position":1739,"value":315},{"alpha_index":2203,"clock_position":2203,"value":611},{"alpha_index":2667,"clock_position":2667,"value":778}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-348","alpha_indices":[348,812,1276,1740,2204,2668],"clock_positions":[348,812,1276,1740,2204,2668],"native_values":[890,499,427,36,427,499],"rotation_degrees":45.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":348,"clock_position":348,"value":890},{"alpha_index":812,"clock_position":812,"value":499},{"alpha_index":1276,"clock_position":1276,"value":427},{"alpha_index":1740,"clock_position":1740,"value":36},{"alpha_index":2204,"clock_position":2204,"value":427},{"alpha_index":2668,"clock_position":2668,"value":499}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-349","alpha_indices":[349,813,1277,1741,2205,2669],"clock_positions":[349,813,1277,1741,2205,2669],"native_values":[575,814,575,351,112,351],"rotation_degrees":45.12931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":349,"clock_position":349,"value":575},{"alpha_index":813,"clock_position":813,"value":814},{"alpha_index":1277,"clock_position":1277,"value":575},{"alpha_index":1741,"clock_position":1741,"value":351},{"alpha_index":2205,"clock_position":2205,"value":112},{"alpha_index":2669,"clock_position":2669,"value":351}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-350","alpha_indices":[350,814,1278,1742,2206,2670],"clock_positions":[350,814,1278,1742,2206,2670],"native_values":[539,387,76,387,539,850],"rotation_degrees":45.258620689655174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":350,"clock_position":350,"value":539},{"alpha_index":814,"clock_position":814,"value":387},{"alpha_index":1278,"clock_position":1278,"value":76},{"alpha_index":1742,"clock_position":1742,"value":387},{"alpha_index":2206,"clock_position":2206,"value":539},{"alpha_index":2670,"clock_position":2670,"value":850}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-351","alpha_indices":[351,815,1279,1743,2207,2671],"clock_positions":[351,815,1279,1743,2207,2671],"native_values":[188,275,651,738,651,275],"rotation_degrees":45.38793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":351,"clock_position":351,"value":188},{"alpha_index":815,"clock_position":815,"value":275},{"alpha_index":1279,"clock_position":1279,"value":651},{"alpha_index":1743,"clock_position":1743,"value":738},{"alpha_index":2207,"clock_position":2207,"value":651},{"alpha_index":2671,"clock_position":2671,"value":275}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-352","alpha_indices":[352,816,1280,1744,2208,2672],"clock_positions":[352,816,1280,1744,2208,2672],"native_values":[727,662,727,199,264,199],"rotation_degrees":45.51724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":352,"clock_position":352,"value":727},{"alpha_index":816,"clock_position":816,"value":662},{"alpha_index":1280,"clock_position":1280,"value":727},{"alpha_index":1744,"clock_position":1744,"value":199},{"alpha_index":2208,"clock_position":2208,"value":264},{"alpha_index":2672,"clock_position":2672,"value":199}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-353","alpha_indices":[353,817,1281,1745,2209,2673],"clock_positions":[353,817,1281,1745,2209,2673],"native_values":[915,11,452,11,915,474],"rotation_degrees":45.64655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":353,"clock_position":353,"value":915},{"alpha_index":817,"clock_position":817,"value":11},{"alpha_index":1281,"clock_position":1281,"value":452},{"alpha_index":1745,"clock_position":1745,"value":11},{"alpha_index":2209,"clock_position":2209,"value":915},{"alpha_index":2673,"clock_position":2673,"value":474}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-354","alpha_indices":[354,818,1282,1746,2210,2674],"clock_positions":[354,818,1282,1746,2210,2674],"native_values":[716,673,253,210,253,673],"rotation_degrees":45.775862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":354,"clock_position":354,"value":716},{"alpha_index":818,"clock_position":818,"value":673},{"alpha_index":1282,"clock_position":1282,"value":253},{"alpha_index":1746,"clock_position":1746,"value":210},{"alpha_index":2210,"clock_position":2210,"value":253},{"alpha_index":2674,"clock_position":2674,"value":673}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-355","alpha_indices":[355,819,1283,1747,2211,2675],"clock_positions":[355,819,1283,1747,2211,2675],"native_values":[705,684,705,221,242,221],"rotation_degrees":45.9051724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":355,"clock_position":355,"value":705},{"alpha_index":819,"clock_position":819,"value":684},{"alpha_index":1283,"clock_position":1283,"value":705},{"alpha_index":1747,"clock_position":1747,"value":221},{"alpha_index":2211,"clock_position":2211,"value":242},{"alpha_index":2675,"clock_position":2675,"value":221}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-356","alpha_indices":[356,820,1284,1748,2212,2676],"clock_positions":[356,820,1284,1748,2212,2676],"native_values":[495,431,32,431,495,894],"rotation_degrees":46.03448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":356,"clock_position":356,"value":495},{"alpha_index":820,"clock_position":820,"value":431},{"alpha_index":1284,"clock_position":1284,"value":32},{"alpha_index":1748,"clock_position":1748,"value":431},{"alpha_index":2212,"clock_position":2212,"value":495},{"alpha_index":2676,"clock_position":2676,"value":894}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-357","alpha_indices":[357,821,1285,1749,2213,2677],"clock_positions":[357,821,1285,1749,2213,2677],"native_values":[274,189,737,652,737,189],"rotation_degrees":46.16379310344828,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":357,"clock_position":357,"value":274},{"alpha_index":821,"clock_position":821,"value":189},{"alpha_index":1285,"clock_position":1285,"value":737},{"alpha_index":1749,"clock_position":1749,"value":652},{"alpha_index":2213,"clock_position":2213,"value":737},{"alpha_index":2677,"clock_position":2677,"value":189}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-358","alpha_indices":[358,822,1286,1750,2214,2678],"clock_positions":[358,822,1286,1750,2214,2678],"native_values":[769,620,769,157,306,157],"rotation_degrees":46.293103448275865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":358,"clock_position":358,"value":769},{"alpha_index":822,"clock_position":822,"value":620},{"alpha_index":1286,"clock_position":1286,"value":769},{"alpha_index":1750,"clock_position":1750,"value":157},{"alpha_index":2214,"clock_position":2214,"value":306},{"alpha_index":2678,"clock_position":2678,"value":157}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-359","alpha_indices":[359,823,1287,1751,2215,2679],"clock_positions":[359,823,1287,1751,2215,2679],"native_values":[117,809,580,809,117,346],"rotation_degrees":46.422413793103445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":359,"clock_position":359,"value":117},{"alpha_index":823,"clock_position":823,"value":809},{"alpha_index":1287,"clock_position":1287,"value":580},{"alpha_index":1751,"clock_position":1751,"value":809},{"alpha_index":2215,"clock_position":2215,"value":117},{"alpha_index":2679,"clock_position":2679,"value":346}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-360","alpha_indices":[360,824,1288,1752,2216,2680],"clock_positions":[360,824,1288,1752,2216,2680],"native_values":[886,503,423,40,423,503],"rotation_degrees":46.55172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":360,"clock_position":360,"value":886},{"alpha_index":824,"clock_position":824,"value":503},{"alpha_index":1288,"clock_position":1288,"value":423},{"alpha_index":1752,"clock_position":1752,"value":40},{"alpha_index":2216,"clock_position":2216,"value":423},{"alpha_index":2680,"clock_position":2680,"value":503}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-361","alpha_indices":[361,825,1289,1753,2217,2681],"clock_positions":[361,825,1289,1753,2217,2681],"native_values":[77,386,77,849,540,849],"rotation_degrees":46.68103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":361,"clock_position":361,"value":77},{"alpha_index":825,"clock_position":825,"value":386},{"alpha_index":1289,"clock_position":1289,"value":77},{"alpha_index":1753,"clock_position":1753,"value":849},{"alpha_index":2217,"clock_position":2217,"value":540},{"alpha_index":2681,"clock_position":2681,"value":849}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-362","alpha_indices":[362,826,1290,1754,2218,2682],"clock_positions":[362,826,1290,1754,2218,2682],"native_values":[37,889,500,889,37,426],"rotation_degrees":46.810344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":362,"clock_position":362,"value":37},{"alpha_index":826,"clock_position":826,"value":889},{"alpha_index":1290,"clock_position":1290,"value":500},{"alpha_index":1754,"clock_position":1754,"value":889},{"alpha_index":2218,"clock_position":2218,"value":37},{"alpha_index":2682,"clock_position":2682,"value":426}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-363","alpha_indices":[363,827,1291,1755,2219,2683],"clock_positions":[363,827,1291,1755,2219,2683],"native_values":[114,349,577,812,577,349],"rotation_degrees":46.939655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":363,"clock_position":363,"value":114},{"alpha_index":827,"clock_position":827,"value":349},{"alpha_index":1291,"clock_position":1291,"value":577},{"alpha_index":1755,"clock_position":1755,"value":812},{"alpha_index":2219,"clock_position":2219,"value":577},{"alpha_index":2683,"clock_position":2683,"value":349}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-364","alpha_indices":[364,828,1292,1756,2220,2684],"clock_positions":[364,828,1292,1756,2220,2684],"native_values":[151,312,151,775,614,775],"rotation_degrees":47.06896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":364,"clock_position":364,"value":151},{"alpha_index":828,"clock_position":828,"value":312},{"alpha_index":1292,"clock_position":1292,"value":151},{"alpha_index":1756,"clock_position":1756,"value":775},{"alpha_index":2220,"clock_position":2220,"value":614},{"alpha_index":2684,"clock_position":2684,"value":775}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-365","alpha_indices":[365,829,1293,1757,2221,2685],"clock_positions":[365,829,1293,1757,2221,2685],"native_values":[265,661,728,661,265,198],"rotation_degrees":47.19827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":365,"clock_position":365,"value":265},{"alpha_index":829,"clock_position":829,"value":661},{"alpha_index":1293,"clock_position":1293,"value":728},{"alpha_index":1757,"clock_position":1757,"value":661},{"alpha_index":2221,"clock_position":2221,"value":265},{"alpha_index":2685,"clock_position":2685,"value":198}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-366","alpha_indices":[366,830,1294,1758,2222,2686],"clock_positions":[366,830,1294,1758,2222,2686],"native_values":[416,47,879,510,879,47],"rotation_degrees":47.327586206896555,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":366,"clock_position":366,"value":416},{"alpha_index":830,"clock_position":830,"value":47},{"alpha_index":1294,"clock_position":1294,"value":879},{"alpha_index":1758,"clock_position":1758,"value":510},{"alpha_index":2222,"clock_position":2222,"value":879},{"alpha_index":2686,"clock_position":2686,"value":47}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-367","alpha_indices":[367,831,1295,1759,2223,2687],"clock_positions":[367,831,1295,1759,2223,2687],"native_values":[681,708,681,245,218,245],"rotation_degrees":47.456896551724135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":367,"clock_position":367,"value":681},{"alpha_index":831,"clock_position":831,"value":708},{"alpha_index":1295,"clock_position":1295,"value":681},{"alpha_index":1759,"clock_position":1759,"value":245},{"alpha_index":2223,"clock_position":2223,"value":218},{"alpha_index":2687,"clock_position":2687,"value":245}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-368","alpha_indices":[368,832,1296,1760,2224,2688],"clock_positions":[368,832,1296,1760,2224,2688],"native_values":[171,755,634,755,171,292],"rotation_degrees":47.58620689655172,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":368,"clock_position":368,"value":171},{"alpha_index":832,"clock_position":832,"value":755},{"alpha_index":1296,"clock_position":1296,"value":634},{"alpha_index":1760,"clock_position":1760,"value":755},{"alpha_index":2224,"clock_position":2224,"value":171},{"alpha_index":2688,"clock_position":2688,"value":292}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-369","alpha_indices":[369,833,1297,1761,2225,2689],"clock_positions":[369,833,1297,1761,2225,2689],"native_values":[852,537,389,74,389,537],"rotation_degrees":47.71551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":369,"clock_position":369,"value":852},{"alpha_index":833,"clock_position":833,"value":537},{"alpha_index":1297,"clock_position":1297,"value":389},{"alpha_index":1761,"clock_position":1761,"value":74},{"alpha_index":2225,"clock_position":2225,"value":389},{"alpha_index":2689,"clock_position":2689,"value":537}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-370","alpha_indices":[370,834,1298,1762,2226,2690],"clock_positions":[370,834,1298,1762,2226,2690],"native_values":[97,366,97,829,560,829],"rotation_degrees":47.8448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":370,"clock_position":370,"value":97},{"alpha_index":834,"clock_position":834,"value":366},{"alpha_index":1298,"clock_position":1298,"value":97},{"alpha_index":1762,"clock_position":1762,"value":829},{"alpha_index":2226,"clock_position":2226,"value":560},{"alpha_index":2690,"clock_position":2690,"value":829}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-371","alpha_indices":[371,835,1299,1763,2227,2691],"clock_positions":[371,835,1299,1763,2227,2691],"native_values":[23,903,486,903,23,440],"rotation_degrees":47.974137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":371,"clock_position":371,"value":23},{"alpha_index":835,"clock_position":835,"value":903},{"alpha_index":1299,"clock_position":1299,"value":486},{"alpha_index":1763,"clock_position":1763,"value":903},{"alpha_index":2227,"clock_position":2227,"value":23},{"alpha_index":2691,"clock_position":2691,"value":440}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-372","alpha_indices":[372,836,1300,1764,2228,2692],"clock_positions":[372,836,1300,1764,2228,2692],"native_values":[120,343,583,806,583,343],"rotation_degrees":48.10344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":372,"clock_position":372,"value":120},{"alpha_index":836,"clock_position":836,"value":343},{"alpha_index":1300,"clock_position":1300,"value":583},{"alpha_index":1764,"clock_position":1764,"value":806},{"alpha_index":2228,"clock_position":2228,"value":583},{"alpha_index":2692,"clock_position":2692,"value":343}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-373","alpha_indices":[373,837,1301,1765,2229,2693],"clock_positions":[373,837,1301,1765,2229,2693],"native_values":[143,320,143,783,606,783],"rotation_degrees":48.23275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":373,"clock_position":373,"value":143},{"alpha_index":837,"clock_position":837,"value":320},{"alpha_index":1301,"clock_position":1301,"value":143},{"alpha_index":1765,"clock_position":1765,"value":783},{"alpha_index":2229,"clock_position":2229,"value":606},{"alpha_index":2693,"clock_position":2693,"value":783}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-374","alpha_indices":[374,838,1302,1766,2230,2694],"clock_positions":[374,838,1302,1766,2230,2694],"native_values":[263,663,726,663,263,200],"rotation_degrees":48.36206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":374,"clock_position":374,"value":263},{"alpha_index":838,"clock_position":838,"value":663},{"alpha_index":1302,"clock_position":1302,"value":726},{"alpha_index":1766,"clock_position":1766,"value":663},{"alpha_index":2230,"clock_position":2230,"value":263},{"alpha_index":2694,"clock_position":2694,"value":200}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-375","alpha_indices":[375,839,1303,1767,2231,2695],"clock_positions":[375,839,1303,1767,2231,2695],"native_values":[406,57,869,520,869,57],"rotation_degrees":48.491379310344826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":375,"clock_position":375,"value":406},{"alpha_index":839,"clock_position":839,"value":57},{"alpha_index":1303,"clock_position":1303,"value":869},{"alpha_index":1767,"clock_position":1767,"value":520},{"alpha_index":2231,"clock_position":2231,"value":869},{"alpha_index":2695,"clock_position":2695,"value":57}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-376","alpha_indices":[376,840,1304,1768,2232,2696],"clock_positions":[376,840,1304,1768,2232,2696],"native_values":[669,720,669,257,206,257],"rotation_degrees":48.62068965517241,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":376,"clock_position":376,"value":669},{"alpha_index":840,"clock_position":840,"value":720},{"alpha_index":1304,"clock_position":1304,"value":669},{"alpha_index":1768,"clock_position":1768,"value":257},{"alpha_index":2232,"clock_position":2232,"value":206},{"alpha_index":2696,"clock_position":2696,"value":257}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-377","alpha_indices":[377,841,1305,1769,2233,2697],"clock_positions":[377,841,1305,1769,2233,2697],"native_values":[149,777,612,777,149,314],"rotation_degrees":48.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":377,"clock_position":377,"value":149},{"alpha_index":841,"clock_position":841,"value":777},{"alpha_index":1305,"clock_position":1305,"value":612},{"alpha_index":1769,"clock_position":1769,"value":777},{"alpha_index":2233,"clock_position":2233,"value":149},{"alpha_index":2697,"clock_position":2697,"value":314}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-378","alpha_indices":[378,842,1306,1770,2234,2698],"clock_positions":[378,842,1306,1770,2234,2698],"native_values":[818,571,355,108,355,571],"rotation_degrees":48.87931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":378,"clock_position":378,"value":818},{"alpha_index":842,"clock_position":842,"value":571},{"alpha_index":1306,"clock_position":1306,"value":355},{"alpha_index":1770,"clock_position":1770,"value":108},{"alpha_index":2234,"clock_position":2234,"value":355},{"alpha_index":2698,"clock_position":2698,"value":571}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-379","alpha_indices":[379,843,1307,1771,2235,2699],"clock_positions":[379,843,1307,1771,2235,2699],"native_values":[41,422,41,885,504,885],"rotation_degrees":49.008620689655174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":379,"clock_position":379,"value":41},{"alpha_index":843,"clock_position":843,"value":422},{"alpha_index":1307,"clock_position":1307,"value":41},{"alpha_index":1771,"clock_position":1771,"value":885},{"alpha_index":2235,"clock_position":2235,"value":504},{"alpha_index":2699,"clock_position":2699,"value":885}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-380","alpha_indices":[380,844,1308,1772,2236,2700],"clock_positions":[380,844,1308,1772,2236,2700],"native_values":[859,67,396,67,859,530],"rotation_degrees":49.13793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":380,"clock_position":380,"value":859},{"alpha_index":844,"clock_position":844,"value":67},{"alpha_index":1308,"clock_position":1308,"value":396},{"alpha_index":1772,"clock_position":1772,"value":67},{"alpha_index":2236,"clock_position":2236,"value":859},{"alpha_index":2700,"clock_position":2700,"value":530}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-381","alpha_indices":[381,845,1309,1773,2237,2701],"clock_positions":[381,845,1309,1773,2237,2701],"native_values":[900,489,437,26,437,489],"rotation_degrees":49.26724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":381,"clock_position":381,"value":900},{"alpha_index":845,"clock_position":845,"value":489},{"alpha_index":1309,"clock_position":1309,"value":437},{"alpha_index":1773,"clock_position":1773,"value":26},{"alpha_index":2237,"clock_position":2237,"value":437},{"alpha_index":2701,"clock_position":2701,"value":489}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-382","alpha_indices":[382,846,1310,1774,2238,2702],"clock_positions":[382,846,1310,1774,2238,2702],"native_values":[833,556,833,93,370,93],"rotation_degrees":49.39655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":382,"clock_position":382,"value":833},{"alpha_index":846,"clock_position":846,"value":556},{"alpha_index":1310,"clock_position":1310,"value":833},{"alpha_index":1774,"clock_position":1774,"value":93},{"alpha_index":2238,"clock_position":2238,"value":370},{"alpha_index":2702,"clock_position":2702,"value":93}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-383","alpha_indices":[383,847,1311,1775,2239,2703],"clock_positions":[383,847,1311,1775,2239,2703],"native_values":[807,119,344,119,807,582],"rotation_degrees":49.525862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":383,"clock_position":383,"value":807},{"alpha_index":847,"clock_position":847,"value":119},{"alpha_index":1311,"clock_position":1311,"value":344},{"alpha_index":1775,"clock_position":1775,"value":119},{"alpha_index":2239,"clock_position":2239,"value":807},{"alpha_index":2703,"clock_position":2703,"value":582}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-384","alpha_indices":[384,848,1312,1776,2240,2704],"clock_positions":[384,848,1312,1776,2240,2704],"native_values":[714,675,251,212,251,675],"rotation_degrees":49.6551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":384,"clock_position":384,"value":714},{"alpha_index":848,"clock_position":848,"value":675},{"alpha_index":1312,"clock_position":1312,"value":251},{"alpha_index":1776,"clock_position":1776,"value":212},{"alpha_index":2240,"clock_position":2240,"value":251},{"alpha_index":2704,"clock_position":2704,"value":675}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-385","alpha_indices":[385,849,1313,1777,2241,2705],"clock_positions":[385,849,1313,1777,2241,2705],"native_values":[595,794,595,331,132,331],"rotation_degrees":49.78448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":385,"clock_position":385,"value":595},{"alpha_index":849,"clock_position":849,"value":794},{"alpha_index":1313,"clock_position":1313,"value":595},{"alpha_index":1777,"clock_position":1777,"value":331},{"alpha_index":2241,"clock_position":2241,"value":132},{"alpha_index":2705,"clock_position":2705,"value":331}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-386","alpha_indices":[386,850,1314,1778,2242,2706],"clock_positions":[386,850,1314,1778,2242,2706],"native_values":[383,543,846,543,383,80],"rotation_degrees":49.91379310344828,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":386,"clock_position":386,"value":383},{"alpha_index":850,"clock_position":850,"value":543},{"alpha_index":1314,"clock_position":1314,"value":846},{"alpha_index":1778,"clock_position":1778,"value":543},{"alpha_index":2242,"clock_position":2242,"value":383},{"alpha_index":2706,"clock_position":2706,"value":80}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-387","alpha_indices":[387,851,1315,1779,2243,2707],"clock_positions":[387,851,1315,1779,2243,2707],"native_values":[52,411,515,874,515,411],"rotation_degrees":50.043103448275865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":387,"clock_position":387,"value":52},{"alpha_index":851,"clock_position":851,"value":411},{"alpha_index":1315,"clock_position":1315,"value":515},{"alpha_index":1779,"clock_position":1779,"value":874},{"alpha_index":2243,"clock_position":2243,"value":515},{"alpha_index":2707,"clock_position":2707,"value":411}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-388","alpha_indices":[388,852,1316,1780,2244,2708],"clock_positions":[388,852,1316,1780,2244,2708],"native_values":[435,28,435,491,898,491],"rotation_degrees":50.172413793103445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":388,"clock_position":388,"value":435},{"alpha_index":852,"clock_position":852,"value":28},{"alpha_index":1316,"clock_position":1316,"value":435},{"alpha_index":1780,"clock_position":1780,"value":491},{"alpha_index":2244,"clock_position":2244,"value":898},{"alpha_index":2708,"clock_position":2708,"value":491}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-389","alpha_indices":[389,853,1317,1781,2245,2709],"clock_positions":[389,853,1317,1781,2245,2709],"native_values":[487,439,24,439,487,902],"rotation_degrees":50.30172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":389,"clock_position":389,"value":487},{"alpha_index":853,"clock_position":853,"value":439},{"alpha_index":1317,"clock_position":1317,"value":24},{"alpha_index":1781,"clock_position":1781,"value":439},{"alpha_index":2245,"clock_position":2245,"value":487},{"alpha_index":2709,"clock_position":2709,"value":902}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-390","alpha_indices":[390,854,1318,1782,2246,2710],"clock_positions":[390,854,1318,1782,2246,2710],"native_values":[922,467,459,4,459,467],"rotation_degrees":50.43103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":390,"clock_position":390,"value":922},{"alpha_index":854,"clock_position":854,"value":467},{"alpha_index":1318,"clock_position":1318,"value":459},{"alpha_index":1782,"clock_position":1782,"value":4},{"alpha_index":2246,"clock_position":2246,"value":459},{"alpha_index":2710,"clock_position":2710,"value":467}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-391","alpha_indices":[391,855,1319,1783,2247,2711],"clock_positions":[391,855,1319,1783,2247,2711],"native_values":[483,906,483,443,20,443],"rotation_degrees":50.560344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":391,"clock_position":391,"value":483},{"alpha_index":855,"clock_position":855,"value":906},{"alpha_index":1319,"clock_position":1319,"value":483},{"alpha_index":1783,"clock_position":1783,"value":443},{"alpha_index":2247,"clock_position":2247,"value":20},{"alpha_index":2711,"clock_position":2711,"value":443}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-392","alpha_indices":[392,856,1320,1784,2248,2712],"clock_positions":[392,856,1320,1784,2248,2712],"native_values":[479,447,16,447,479,910],"rotation_degrees":50.689655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":392,"clock_position":392,"value":479},{"alpha_index":856,"clock_position":856,"value":447},{"alpha_index":1320,"clock_position":1320,"value":16},{"alpha_index":1784,"clock_position":1784,"value":447},{"alpha_index":2248,"clock_position":2248,"value":479},{"alpha_index":2712,"clock_position":2712,"value":910}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-393","alpha_indices":[393,857,1321,1785,2249,2713],"clock_positions":[393,857,1321,1785,2249,2713],"native_values":[36,427,499,890,499,427],"rotation_degrees":50.81896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":393,"clock_position":393,"value":36},{"alpha_index":857,"clock_position":857,"value":427},{"alpha_index":1321,"clock_position":1321,"value":499},{"alpha_index":1785,"clock_position":1785,"value":890},{"alpha_index":2249,"clock_position":2249,"value":499},{"alpha_index":2713,"clock_position":2713,"value":427}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-394","alpha_indices":[394,858,1322,1786,2250,2714],"clock_positions":[394,858,1322,1786,2250,2714],"native_values":[515,874,515,411,52,411],"rotation_degrees":50.94827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":394,"clock_position":394,"value":515},{"alpha_index":858,"clock_position":858,"value":874},{"alpha_index":1322,"clock_position":1322,"value":515},{"alpha_index":1786,"clock_position":1786,"value":411},{"alpha_index":2250,"clock_position":2250,"value":52},{"alpha_index":2714,"clock_position":2714,"value":411}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-395","alpha_indices":[395,859,1323,1787,2251,2715],"clock_positions":[395,859,1323,1787,2251,2715],"native_values":[551,375,88,375,551,838],"rotation_degrees":51.077586206896555,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":395,"clock_position":395,"value":551},{"alpha_index":859,"clock_position":859,"value":375},{"alpha_index":1323,"clock_position":1323,"value":88},{"alpha_index":1787,"clock_position":1787,"value":375},{"alpha_index":2251,"clock_position":2251,"value":551},{"alpha_index":2715,"clock_position":2715,"value":838}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-396","alpha_indices":[396,860,1324,1788,2252,2716],"clock_positions":[396,860,1324,1788,2252,2716],"native_values":[140,323,603,786,603,323],"rotation_degrees":51.206896551724135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":396,"clock_position":396,"value":140},{"alpha_index":860,"clock_position":860,"value":323},{"alpha_index":1324,"clock_position":1324,"value":603},{"alpha_index":1788,"clock_position":1788,"value":786},{"alpha_index":2252,"clock_position":2252,"value":603},{"alpha_index":2716,"clock_position":2716,"value":323}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-397","alpha_indices":[397,861,1325,1789,2253,2717],"clock_positions":[397,861,1325,1789,2253,2717],"native_values":[691,698,691,235,228,235],"rotation_degrees":51.33620689655172,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":397,"clock_position":397,"value":691},{"alpha_index":861,"clock_position":861,"value":698},{"alpha_index":1325,"clock_position":1325,"value":691},{"alpha_index":1789,"clock_position":1789,"value":235},{"alpha_index":2253,"clock_position":2253,"value":228},{"alpha_index":2717,"clock_position":2717,"value":235}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-398","alpha_indices":[398,862,1326,1790,2254,2718],"clock_positions":[398,862,1326,1790,2254,2718],"native_values":[831,95,368,95,831,558],"rotation_degrees":51.46551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":398,"clock_position":398,"value":831},{"alpha_index":862,"clock_position":862,"value":95},{"alpha_index":1326,"clock_position":1326,"value":368},{"alpha_index":1790,"clock_position":1790,"value":95},{"alpha_index":2254,"clock_position":2254,"value":831},{"alpha_index":2718,"clock_position":2718,"value":558}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-399","alpha_indices":[399,863,1327,1791,2255,2719],"clock_positions":[399,863,1327,1791,2255,2719],"native_values":[596,793,133,330,133,793],"rotation_degrees":51.5948275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":399,"clock_position":399,"value":596},{"alpha_index":863,"clock_position":863,"value":793},{"alpha_index":1327,"clock_position":1327,"value":133},{"alpha_index":1791,"clock_position":1791,"value":330},{"alpha_index":2255,"clock_position":2255,"value":133},{"alpha_index":2719,"clock_position":2719,"value":793}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-400","alpha_indices":[400,864,1328,1792,2256,2720],"clock_positions":[400,864,1328,1792,2256,2720],"native_values":[501,888,501,425,38,425],"rotation_degrees":51.724137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":400,"clock_position":400,"value":501},{"alpha_index":864,"clock_position":864,"value":888},{"alpha_index":1328,"clock_position":1328,"value":501},{"alpha_index":1792,"clock_position":1792,"value":425},{"alpha_index":2256,"clock_position":2256,"value":38},{"alpha_index":2720,"clock_position":2720,"value":425}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-401","alpha_indices":[401,865,1329,1793,2257,2721],"clock_positions":[401,865,1329,1793,2257,2721],"native_values":[171,755,634,755,171,292],"rotation_degrees":51.85344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":401,"clock_position":401,"value":171},{"alpha_index":865,"clock_position":865,"value":755},{"alpha_index":1329,"clock_position":1329,"value":634},{"alpha_index":1793,"clock_position":1793,"value":755},{"alpha_index":2257,"clock_position":2257,"value":171},{"alpha_index":2721,"clock_position":2721,"value":292}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-402","alpha_indices":[402,866,1330,1794,2258,2722],"clock_positions":[402,866,1330,1794,2258,2722],"native_values":[672,717,209,254,209,717],"rotation_degrees":51.98275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":402,"clock_position":402,"value":672},{"alpha_index":866,"clock_position":866,"value":717},{"alpha_index":1330,"clock_position":1330,"value":209},{"alpha_index":1794,"clock_position":1794,"value":254},{"alpha_index":2258,"clock_position":2258,"value":209},{"alpha_index":2722,"clock_position":2722,"value":717}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-403","alpha_indices":[403,867,1331,1795,2259,2723],"clock_positions":[403,867,1331,1795,2259,2723],"native_values":[843,546,843,83,380,83],"rotation_degrees":52.11206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":403,"clock_position":403,"value":843},{"alpha_index":867,"clock_position":867,"value":546},{"alpha_index":1331,"clock_position":1331,"value":843},{"alpha_index":1795,"clock_position":1795,"value":83},{"alpha_index":2259,"clock_position":2259,"value":380},{"alpha_index":2723,"clock_position":2723,"value":83}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-404","alpha_indices":[404,868,1332,1796,2260,2724],"clock_positions":[404,868,1332,1796,2260,2724],"native_values":[589,337,126,337,589,800],"rotation_degrees":52.241379310344826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":404,"clock_position":404,"value":589},{"alpha_index":868,"clock_position":868,"value":337},{"alpha_index":1332,"clock_position":1332,"value":126},{"alpha_index":1796,"clock_position":1796,"value":337},{"alpha_index":2260,"clock_position":2260,"value":589},{"alpha_index":2724,"clock_position":2724,"value":800}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-405","alpha_indices":[405,869,1333,1797,2261,2725],"clock_positions":[405,869,1333,1797,2261,2725],"native_values":[506,883,43,420,43,883],"rotation_degrees":52.37068965517241,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":405,"clock_position":405,"value":506},{"alpha_index":869,"clock_position":869,"value":883},{"alpha_index":1333,"clock_position":1333,"value":43},{"alpha_index":1797,"clock_position":1797,"value":420},{"alpha_index":2261,"clock_position":2261,"value":43},{"alpha_index":2725,"clock_position":2725,"value":883}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-406","alpha_indices":[406,870,1334,1798,2262,2726],"clock_positions":[406,870,1334,1798,2262,2726],"native_values":[169,294,169,757,632,757],"rotation_degrees":52.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":406,"clock_position":406,"value":169},{"alpha_index":870,"clock_position":870,"value":294},{"alpha_index":1334,"clock_position":1334,"value":169},{"alpha_index":1798,"clock_position":1798,"value":757},{"alpha_index":2262,"clock_position":2262,"value":632},{"alpha_index":2726,"clock_position":2726,"value":757}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-407","alpha_indices":[407,871,1335,1799,2263,2727],"clock_positions":[407,871,1335,1799,2263,2727],"native_values":[675,251,212,251,675,714],"rotation_degrees":52.62931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":407,"clock_position":407,"value":675},{"alpha_index":871,"clock_position":871,"value":251},{"alpha_index":1335,"clock_position":1335,"value":212},{"alpha_index":1799,"clock_position":1799,"value":251},{"alpha_index":2263,"clock_position":2263,"value":675},{"alpha_index":2727,"clock_position":2727,"value":714}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-408","alpha_indices":[408,872,1336,1800,2264,2728],"clock_positions":[408,872,1336,1800,2264,2728],"native_values":[844,545,381,82,381,545],"rotation_degrees":52.758620689655174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":408,"clock_position":408,"value":844},{"alpha_index":872,"clock_position":872,"value":545},{"alpha_index":1336,"clock_position":1336,"value":381},{"alpha_index":1800,"clock_position":1800,"value":82},{"alpha_index":2264,"clock_position":2264,"value":381},{"alpha_index":2728,"clock_position":2728,"value":545}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-409","alpha_indices":[409,873,1337,1801,2265,2729],"clock_positions":[409,873,1337,1801,2265,2729],"native_values":[593,796,593,333,130,333],"rotation_degrees":52.88793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":409,"clock_position":409,"value":593},{"alpha_index":873,"clock_position":873,"value":796},{"alpha_index":1337,"clock_position":1337,"value":593},{"alpha_index":1801,"clock_position":1801,"value":333},{"alpha_index":2265,"clock_position":2265,"value":130},{"alpha_index":2729,"clock_position":2729,"value":333}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-410","alpha_indices":[410,874,1338,1802,2266,2730],"clock_positions":[410,874,1338,1802,2266,2730],"native_values":[511,415,48,415,511,878],"rotation_degrees":53.01724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":410,"clock_position":410,"value":511},{"alpha_index":874,"clock_position":874,"value":415},{"alpha_index":1338,"clock_position":1338,"value":48},{"alpha_index":1802,"clock_position":1802,"value":415},{"alpha_index":2266,"clock_position":2266,"value":511},{"alpha_index":2730,"clock_position":2730,"value":878}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-411","alpha_indices":[411,875,1339,1803,2267,2731],"clock_positions":[411,875,1339,1803,2267,2731],"native_values":[178,285,641,748,641,285],"rotation_degrees":53.14655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":411,"clock_position":411,"value":178},{"alpha_index":875,"clock_position":875,"value":285},{"alpha_index":1339,"clock_position":1339,"value":641},{"alpha_index":1803,"clock_position":1803,"value":748},{"alpha_index":2267,"clock_position":2267,"value":641},{"alpha_index":2731,"clock_position":2731,"value":285}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-412","alpha_indices":[412,876,1340,1804,2268,2732],"clock_positions":[412,876,1340,1804,2268,2732],"native_values":[689,700,689,237,226,237],"rotation_degrees":53.275862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":412,"clock_position":412,"value":689},{"alpha_index":876,"clock_position":876,"value":700},{"alpha_index":1340,"clock_position":1340,"value":689},{"alpha_index":1804,"clock_position":1804,"value":237},{"alpha_index":2268,"clock_position":2268,"value":226},{"alpha_index":2732,"clock_position":2732,"value":237}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-413","alpha_indices":[413,877,1341,1805,2269,2733],"clock_positions":[413,877,1341,1805,2269,2733],"native_values":[867,59,404,59,867,522],"rotation_degrees":53.4051724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":413,"clock_position":413,"value":867},{"alpha_index":877,"clock_position":877,"value":59},{"alpha_index":1341,"clock_position":1341,"value":404},{"alpha_index":1805,"clock_position":1805,"value":59},{"alpha_index":2269,"clock_position":2269,"value":867},{"alpha_index":2733,"clock_position":2733,"value":522}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-414","alpha_indices":[414,878,1342,1806,2270,2734],"clock_positions":[414,878,1342,1806,2270,2734],"native_values":[630,759,167,296,167,759],"rotation_degrees":53.53448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":414,"clock_position":414,"value":630},{"alpha_index":878,"clock_position":878,"value":759},{"alpha_index":1342,"clock_position":1342,"value":167},{"alpha_index":1806,"clock_position":1806,"value":296},{"alpha_index":2270,"clock_position":2270,"value":167},{"alpha_index":2734,"clock_position":2734,"value":759}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-415","alpha_indices":[415,879,1343,1807,2271,2735],"clock_positions":[415,879,1343,1807,2271,2735],"native_values":[571,818,571,355,108,355],"rotation_degrees":53.66379310344828,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":415,"clock_position":415,"value":571},{"alpha_index":879,"clock_position":879,"value":818},{"alpha_index":1343,"clock_position":1343,"value":571},{"alpha_index":1807,"clock_position":1807,"value":355},{"alpha_index":2271,"clock_position":2271,"value":108},{"alpha_index":2735,"clock_position":2735,"value":355}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-416","alpha_indices":[416,880,1344,1808,2272,2736],"clock_positions":[416,880,1344,1808,2272,2736],"native_values":[275,651,738,651,275,188],"rotation_degrees":53.793103448275865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":416,"clock_position":416,"value":275},{"alpha_index":880,"clock_position":880,"value":651},{"alpha_index":1344,"clock_position":1344,"value":738},{"alpha_index":1808,"clock_position":1808,"value":651},{"alpha_index":2272,"clock_position":2272,"value":275},{"alpha_index":2736,"clock_position":2736,"value":188}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-417","alpha_indices":[417,881,1345,1809,2273,2737],"clock_positions":[417,881,1345,1809,2273,2737],"native_values":[846,543,383,80,383,543],"rotation_degrees":53.922413793103445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":417,"clock_position":417,"value":846},{"alpha_index":881,"clock_position":881,"value":543},{"alpha_index":1345,"clock_position":1345,"value":383},{"alpha_index":1809,"clock_position":1809,"value":80},{"alpha_index":2273,"clock_position":2273,"value":383},{"alpha_index":2737,"clock_position":2737,"value":543}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-418","alpha_indices":[418,882,1346,1810,2274,2738],"clock_positions":[418,882,1346,1810,2274,2738],"native_values":[195,268,195,731,658,731],"rotation_degrees":54.05172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":418,"clock_position":418,"value":195},{"alpha_index":882,"clock_position":882,"value":268},{"alpha_index":1346,"clock_position":1346,"value":195},{"alpha_index":1810,"clock_position":1810,"value":731},{"alpha_index":2274,"clock_position":2274,"value":658},{"alpha_index":2738,"clock_position":2738,"value":731}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-419","alpha_indices":[419,883,1347,1811,2275,2739],"clock_positions":[419,883,1347,1811,2275,2739],"native_values":[115,811,578,811,115,348],"rotation_degrees":54.18103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":419,"clock_position":419,"value":115},{"alpha_index":883,"clock_position":883,"value":811},{"alpha_index":1347,"clock_position":1347,"value":578},{"alpha_index":1811,"clock_position":1811,"value":811},{"alpha_index":2275,"clock_position":2275,"value":115},{"alpha_index":2739,"clock_position":2739,"value":348}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-420","alpha_indices":[420,884,1348,1812,2276,2740],"clock_positions":[420,884,1348,1812,2276,2740],"native_values":[310,153,773,616,773,153],"rotation_degrees":54.310344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":420,"clock_position":420,"value":310},{"alpha_index":884,"clock_position":884,"value":153},{"alpha_index":1348,"clock_position":1348,"value":773},{"alpha_index":1812,"clock_position":1812,"value":616},{"alpha_index":2276,"clock_position":2276,"value":773},{"alpha_index":2740,"clock_position":2740,"value":153}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-421","alpha_indices":[421,885,1349,1813,2277,2741],"clock_positions":[421,885,1349,1813,2277,2741],"native_values":[425,38,425,501,888,501],"rotation_degrees":54.439655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":421,"clock_position":421,"value":425},{"alpha_index":885,"clock_position":885,"value":38},{"alpha_index":1349,"clock_position":1349,"value":425},{"alpha_index":1813,"clock_position":1813,"value":501},{"alpha_index":2277,"clock_position":2277,"value":888},{"alpha_index":2741,"clock_position":2741,"value":501}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-422","alpha_indices":[422,886,1350,1814,2278,2742],"clock_positions":[422,886,1350,1814,2278,2742],"native_values":[735,191,272,191,735,654],"rotation_degrees":54.56896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":422,"clock_position":422,"value":735},{"alpha_index":886,"clock_position":886,"value":191},{"alpha_index":1350,"clock_position":1350,"value":272},{"alpha_index":1814,"clock_position":1814,"value":191},{"alpha_index":2278,"clock_position":2278,"value":735},{"alpha_index":2742,"clock_position":2742,"value":654}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-423","alpha_indices":[423,887,1351,1815,2279,2743],"clock_positions":[423,887,1351,1815,2279,2743],"native_values":[234,229,697,692,697,229],"rotation_degrees":54.69827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":423,"clock_position":423,"value":234},{"alpha_index":887,"clock_position":887,"value":229},{"alpha_index":1351,"clock_position":1351,"value":697},{"alpha_index":1815,"clock_position":1815,"value":692},{"alpha_index":2279,"clock_position":2279,"value":697},{"alpha_index":2743,"clock_position":2743,"value":229}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-424","alpha_indices":[424,888,1352,1816,2280,2744],"clock_positions":[424,888,1352,1816,2280,2744],"native_values":[43,420,43,883,506,883],"rotation_degrees":54.827586206896555,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":424,"clock_position":424,"value":43},{"alpha_index":888,"clock_position":888,"value":420},{"alpha_index":1352,"clock_position":1352,"value":43},{"alpha_index":1816,"clock_position":1816,"value":883},{"alpha_index":2280,"clock_position":2280,"value":506},{"alpha_index":2744,"clock_position":2744,"value":883}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-425","alpha_indices":[425,889,1353,1817,2281,2745],"clock_positions":[425,889,1353,1817,2281,2745],"native_values":[277,649,740,649,277,186],"rotation_degrees":54.956896551724135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":425,"clock_position":425,"value":277},{"alpha_index":889,"clock_position":889,"value":649},{"alpha_index":1353,"clock_position":1353,"value":740},{"alpha_index":1817,"clock_position":1817,"value":649},{"alpha_index":2281,"clock_position":2281,"value":277},{"alpha_index":2745,"clock_position":2745,"value":186}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-426","alpha_indices":[426,890,1354,1818,2282,2746],"clock_positions":[426,890,1354,1818,2282,2746],"native_values":[320,143,783,606,783,143],"rotation_degrees":55.08620689655172,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":426,"clock_position":426,"value":320},{"alpha_index":890,"clock_position":890,"value":143},{"alpha_index":1354,"clock_position":1354,"value":783},{"alpha_index":1818,"clock_position":1818,"value":606},{"alpha_index":2282,"clock_position":2282,"value":783},{"alpha_index":2746,"clock_position":2746,"value":143}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-427","alpha_indices":[427,891,1355,1819,2283,2747],"clock_positions":[427,891,1355,1819,2283,2747],"native_values":[597,792,597,329,134,329],"rotation_degrees":55.21551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":427,"clock_position":427,"value":597},{"alpha_index":891,"clock_position":891,"value":792},{"alpha_index":1355,"clock_position":1355,"value":597},{"alpha_index":1819,"clock_position":1819,"value":329},{"alpha_index":2283,"clock_position":2283,"value":134},{"alpha_index":2747,"clock_position":2747,"value":329}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-428","alpha_indices":[428,892,1356,1820,2284,2748],"clock_positions":[428,892,1356,1820,2284,2748],"native_values":[917,9,454,9,917,472],"rotation_degrees":55.3448275862069,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":428,"clock_position":428,"value":917},{"alpha_index":1356,"clock_position":1356,"value":454},{"alpha_index":2284,"clock_position":2284,"value":917},{"alpha_index":2748,"clock_position":2748,"value":472}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-429","alpha_indices":[429,893,1357,1821,2285,2749],"clock_positions":[429,893,1357,1821,2285,2749],"native_values":[588,801,125,338,125,801],"rotation_degrees":55.474137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":429,"clock_position":429,"value":588},{"alpha_index":893,"clock_position":893,"value":801},{"alpha_index":1357,"clock_position":1357,"value":125},{"alpha_index":1821,"clock_position":1821,"value":338},{"alpha_index":2285,"clock_position":2285,"value":125},{"alpha_index":2749,"clock_position":2749,"value":801}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-430","alpha_indices":[430,894,1358,1822,2286,2750],"clock_positions":[430,894,1358,1822,2286,2750],"native_values":[579,810,579,347,116,347],"rotation_degrees":55.60344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":430,"clock_position":430,"value":579},{"alpha_index":894,"clock_position":894,"value":810},{"alpha_index":1358,"clock_position":1358,"value":579},{"alpha_index":1822,"clock_position":1822,"value":347},{"alpha_index":2286,"clock_position":2286,"value":116},{"alpha_index":2750,"clock_position":2750,"value":347}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-431","alpha_indices":[431,895,1359,1823,2287,2751],"clock_positions":[431,895,1359,1823,2287,2751],"native_values":[241,685,704,685,241,222],"rotation_degrees":55.73275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":431,"clock_position":431,"value":241},{"alpha_index":895,"clock_position":895,"value":685},{"alpha_index":1359,"clock_position":1359,"value":704},{"alpha_index":1823,"clock_position":1823,"value":685},{"alpha_index":2287,"clock_position":2287,"value":241},{"alpha_index":2751,"clock_position":2751,"value":222}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-432","alpha_indices":[432,896,1360,1824,2288,2752],"clock_positions":[432,896,1360,1824,2288,2752],"native_values":[820,569,357,106,357,569],"rotation_degrees":55.86206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":432,"clock_position":432,"value":820},{"alpha_index":896,"clock_position":896,"value":569},{"alpha_index":1360,"clock_position":1360,"value":357},{"alpha_index":1824,"clock_position":1824,"value":106},{"alpha_index":2288,"clock_position":2288,"value":357},{"alpha_index":2752,"clock_position":2752,"value":569}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-433","alpha_indices":[433,897,1361,1825,2289,2753],"clock_positions":[433,897,1361,1825,2289,2753],"native_values":[135,328,135,791,598,791],"rotation_degrees":55.991379310344826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":433,"clock_position":433,"value":135},{"alpha_index":897,"clock_position":897,"value":328},{"alpha_index":1361,"clock_position":1361,"value":135},{"alpha_index":1825,"clock_position":1825,"value":791},{"alpha_index":2289,"clock_position":2289,"value":598},{"alpha_index":2753,"clock_position":2753,"value":791}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-434","alpha_indices":[434,898,1362,1826,2290,2754],"clock_positions":[434,898,1362,1826,2290,2754],"native_values":[29,897,492,897,29,434],"rotation_degrees":56.12068965517241,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":434,"clock_position":434,"value":29},{"alpha_index":898,"clock_position":898,"value":897},{"alpha_index":1362,"clock_position":1362,"value":492},{"alpha_index":1826,"clock_position":1826,"value":897},{"alpha_index":2290,"clock_position":2290,"value":29},{"alpha_index":2754,"clock_position":2754,"value":434}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-435","alpha_indices":[435,899,1363,1827,2291,2755],"clock_positions":[435,899,1363,1827,2291,2755],"native_values":[164,299,627,762,627,299],"rotation_degrees":56.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":435,"clock_position":435,"value":164},{"alpha_index":899,"clock_position":899,"value":299},{"alpha_index":1363,"clock_position":1363,"value":627},{"alpha_index":1827,"clock_position":1827,"value":762},{"alpha_index":2291,"clock_position":2291,"value":627},{"alpha_index":2755,"clock_position":2755,"value":299}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-436","alpha_indices":[436,900,1364,1828,2292,2756],"clock_positions":[436,900,1364,1828,2292,2756],"native_values":[193,270,193,733,656,733],"rotation_degrees":56.37931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":436,"clock_position":436,"value":193},{"alpha_index":900,"clock_position":900,"value":270},{"alpha_index":1364,"clock_position":1364,"value":193},{"alpha_index":1828,"clock_position":1828,"value":733},{"alpha_index":2292,"clock_position":2292,"value":656},{"alpha_index":2756,"clock_position":2756,"value":733}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-437","alpha_indices":[437,901,1365,1829,2293,2757],"clock_positions":[437,901,1365,1829,2293,2757],"native_values":[357,569,820,569,357,106],"rotation_degrees":56.508620689655174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":437,"clock_position":437,"value":357},{"alpha_index":901,"clock_position":901,"value":569},{"alpha_index":1365,"clock_position":1365,"value":820},{"alpha_index":1829,"clock_position":1829,"value":569},{"alpha_index":2293,"clock_position":2293,"value":357},{"alpha_index":2757,"clock_position":2757,"value":106}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-438","alpha_indices":[438,902,1366,1830,2294,2758],"clock_positions":[438,902,1366,1830,2294,2758],"native_values":[550,839,87,376,87,839],"rotation_degrees":56.63793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":438,"clock_position":438,"value":550},{"alpha_index":902,"clock_position":902,"value":839},{"alpha_index":1366,"clock_position":1366,"value":87},{"alpha_index":1830,"clock_position":1830,"value":376},{"alpha_index":2294,"clock_position":2294,"value":87},{"alpha_index":2758,"clock_position":2758,"value":839}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-439","alpha_indices":[439,903,1367,1831,2295,2759],"clock_positions":[439,903,1367,1831,2295,2759],"native_values":[907,482,907,19,444,19],"rotation_degrees":56.76724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":439,"clock_position":439,"value":907},{"alpha_index":903,"clock_position":903,"value":482},{"alpha_index":1367,"clock_position":1367,"value":907},{"alpha_index":1831,"clock_position":1831,"value":19},{"alpha_index":2295,"clock_position":2295,"value":444},{"alpha_index":2759,"clock_position":2759,"value":19}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-440","alpha_indices":[440,904,1368,1832,2296,2760],"clock_positions":[440,904,1368,1832,2296,2760],"native_values":[531,395,68,395,531,858],"rotation_degrees":56.89655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":440,"clock_position":440,"value":531},{"alpha_index":904,"clock_position":904,"value":395},{"alpha_index":1368,"clock_position":1368,"value":68},{"alpha_index":1832,"clock_position":1832,"value":395},{"alpha_index":2296,"clock_position":2296,"value":531},{"alpha_index":2760,"clock_position":2760,"value":858}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-441","alpha_indices":[441,905,1369,1833,2297,2761],"clock_positions":[441,905,1369,1833,2297,2761],"native_values":[512,877,49,414,49,877],"rotation_degrees":57.025862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":441,"clock_position":441,"value":512},{"alpha_index":905,"clock_position":905,"value":877},{"alpha_index":1369,"clock_position":1369,"value":49},{"alpha_index":1833,"clock_position":1833,"value":414},{"alpha_index":2297,"clock_position":2297,"value":49},{"alpha_index":2761,"clock_position":2761,"value":877}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-442","alpha_indices":[442,906,1370,1834,2298,2762],"clock_positions":[442,906,1370,1834,2298,2762],"native_values":[117,346,117,809,580,809],"rotation_degrees":57.1551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":442,"clock_position":442,"value":117},{"alpha_index":906,"clock_position":906,"value":346},{"alpha_index":1370,"clock_position":1370,"value":117},{"alpha_index":1834,"clock_position":1834,"value":809},{"alpha_index":2298,"clock_position":2298,"value":580},{"alpha_index":2762,"clock_position":2762,"value":809}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-443","alpha_indices":[443,907,1371,1835,2299,2763],"clock_positions":[443,907,1371,1835,2299,2763],"native_values":[629,297,166,297,629,760],"rotation_degrees":57.28448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":443,"clock_position":443,"value":629},{"alpha_index":907,"clock_position":907,"value":297},{"alpha_index":1371,"clock_position":1371,"value":166},{"alpha_index":1835,"clock_position":1835,"value":297},{"alpha_index":2299,"clock_position":2299,"value":629},{"alpha_index":2763,"clock_position":2763,"value":760}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-444","alpha_indices":[444,908,1372,1836,2300,2764],"clock_positions":[444,908,1372,1836,2300,2764],"native_values":[746,643,283,180,283,643],"rotation_degrees":57.41379310344828,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":444,"clock_position":444,"value":746},{"alpha_index":908,"clock_position":908,"value":643},{"alpha_index":1372,"clock_position":1372,"value":283},{"alpha_index":1836,"clock_position":1836,"value":180},{"alpha_index":2300,"clock_position":2300,"value":283},{"alpha_index":2764,"clock_position":2764,"value":643}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-445","alpha_indices":[445,909,1373,1837,2301,2765],"clock_positions":[445,909,1373,1837,2301,2765],"native_values":[449,14,449,477,912,477],"rotation_degrees":57.543103448275865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":445,"clock_position":445,"value":449},{"alpha_index":909,"clock_position":909,"value":14},{"alpha_index":1373,"clock_position":1373,"value":449},{"alpha_index":1837,"clock_position":1837,"value":477},{"alpha_index":2301,"clock_position":2301,"value":912},{"alpha_index":2765,"clock_position":2765,"value":477}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-446","alpha_indices":[446,910,1374,1838,2302,2766],"clock_positions":[446,910,1374,1838,2302,2766],"native_values":[269,657,732,657,269,194],"rotation_degrees":57.672413793103445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":446,"clock_position":446,"value":269},{"alpha_index":910,"clock_position":910,"value":657},{"alpha_index":1374,"clock_position":1374,"value":732},{"alpha_index":1838,"clock_position":1838,"value":657},{"alpha_index":2302,"clock_position":2302,"value":269},{"alpha_index":2766,"clock_position":2766,"value":194}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-447","alpha_indices":[447,911,1375,1839,2303,2767],"clock_positions":[447,911,1375,1839,2303,2767],"native_values":[718,671,255,208,255,671],"rotation_degrees":57.80172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":447,"clock_position":447,"value":718},{"alpha_index":911,"clock_position":911,"value":671},{"alpha_index":1375,"clock_position":1375,"value":255},{"alpha_index":1839,"clock_position":1839,"value":208},{"alpha_index":2303,"clock_position":2303,"value":255},{"alpha_index":2767,"clock_position":2767,"value":671}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-448","alpha_indices":[448,912,1376,1840,2304,2768],"clock_positions":[448,912,1376,1840,2304,2768],"native_values":[61,402,61,865,524,865],"rotation_degrees":57.93103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":448,"clock_position":448,"value":61},{"alpha_index":912,"clock_position":912,"value":402},{"alpha_index":1376,"clock_position":1376,"value":61},{"alpha_index":1840,"clock_position":1840,"value":865},{"alpha_index":2304,"clock_position":2304,"value":524},{"alpha_index":2768,"clock_position":2768,"value":865}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-449","alpha_indices":[449,913,1377,1841,2305,2769],"clock_positions":[449,913,1377,1841,2305,2769],"native_values":[779,147,316,147,779,610],"rotation_degrees":58.060344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":449,"clock_position":449,"value":779},{"alpha_index":913,"clock_position":913,"value":147},{"alpha_index":1377,"clock_position":1377,"value":316},{"alpha_index":1841,"clock_position":1841,"value":147},{"alpha_index":2305,"clock_position":2305,"value":779},{"alpha_index":2769,"clock_position":2769,"value":610}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-450","alpha_indices":[450,914,1378,1842,2306,2770],"clock_positions":[450,914,1378,1842,2306,2770],"native_values":[840,549,377,86,377,549],"rotation_degrees":58.189655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":450,"clock_position":450,"value":840},{"alpha_index":914,"clock_position":914,"value":549},{"alpha_index":1378,"clock_position":1378,"value":377},{"alpha_index":1842,"clock_position":1842,"value":86},{"alpha_index":2306,"clock_position":2306,"value":377},{"alpha_index":2770,"clock_position":2770,"value":549}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-451","alpha_indices":[451,915,1379,1843,2307,2771],"clock_positions":[451,915,1379,1843,2307,2771],"native_values":[693,696,693,233,230,233],"rotation_degrees":58.31896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":451,"clock_position":451,"value":693},{"alpha_index":915,"clock_position":915,"value":696},{"alpha_index":1379,"clock_position":1379,"value":693},{"alpha_index":1843,"clock_position":1843,"value":233},{"alpha_index":2307,"clock_position":2307,"value":230},{"alpha_index":2771,"clock_position":2771,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-452","alpha_indices":[452,916,1380,1844,2308,2772],"clock_positions":[452,916,1380,1844,2308,2772],"native_values":[607,319,144,319,607,782],"rotation_degrees":58.44827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":452,"clock_position":452,"value":607},{"alpha_index":916,"clock_position":916,"value":319},{"alpha_index":1380,"clock_position":1380,"value":144},{"alpha_index":1844,"clock_position":1844,"value":319},{"alpha_index":2308,"clock_position":2308,"value":607},{"alpha_index":2772,"clock_position":2772,"value":782}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-453","alpha_indices":[453,917,1381,1845,2309,2773],"clock_positions":[453,917,1381,1845,2309,2773],"native_values":[374,89,837,552,837,89],"rotation_degrees":58.577586206896555,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":453,"clock_position":453,"value":374},{"alpha_index":917,"clock_position":917,"value":89},{"alpha_index":1381,"clock_position":1381,"value":837},{"alpha_index":1845,"clock_position":1845,"value":552},{"alpha_index":2309,"clock_position":2309,"value":837},{"alpha_index":2773,"clock_position":2773,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-454","alpha_indices":[454,918,1382,1846,2310,2774],"clock_positions":[454,918,1382,1846,2310,2774],"native_values":[55,408,55,871,518,871],"rotation_degrees":58.706896551724135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":454,"clock_position":454,"value":55},{"alpha_index":918,"clock_position":918,"value":408},{"alpha_index":1382,"clock_position":1382,"value":55},{"alpha_index":1846,"clock_position":1846,"value":871},{"alpha_index":2310,"clock_position":2310,"value":518},{"alpha_index":2774,"clock_position":2774,"value":871}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-455","alpha_indices":[455,919,1383,1847,2311,2775],"clock_positions":[455,919,1383,1847,2311,2775],"native_values":[429,497,892,497,429,34],"rotation_degrees":58.83620689655172,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":455,"clock_position":455,"value":429},{"alpha_index":919,"clock_position":919,"value":497},{"alpha_index":1383,"clock_position":1383,"value":892},{"alpha_index":1847,"clock_position":1847,"value":497},{"alpha_index":2311,"clock_position":2311,"value":429},{"alpha_index":2775,"clock_position":2775,"value":34}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-456","alpha_indices":[456,920,1384,1848,2312,2776],"clock_positions":[456,920,1384,1848,2312,2776],"native_values":[484,905,21,442,21,905],"rotation_degrees":58.96551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":456,"clock_position":456,"value":484},{"alpha_index":920,"clock_position":920,"value":905},{"alpha_index":1384,"clock_position":1384,"value":21},{"alpha_index":1848,"clock_position":1848,"value":442},{"alpha_index":2312,"clock_position":2312,"value":21},{"alpha_index":2776,"clock_position":2776,"value":905}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-457","alpha_indices":[457,921,1385,1849,2313,2777],"clock_positions":[457,921,1385,1849,2313,2777],"native_values":[913,476,913,13,450,13],"rotation_degrees":59.0948275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":457,"clock_position":457,"value":913},{"alpha_index":921,"clock_position":921,"value":476},{"alpha_index":1385,"clock_position":1385,"value":913},{"alpha_index":1849,"clock_position":1849,"value":13},{"alpha_index":2313,"clock_position":2313,"value":450},{"alpha_index":2777,"clock_position":2777,"value":13}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-458","alpha_indices":[458,922,1386,1850,2314,2778],"clock_positions":[458,922,1386,1850,2314,2778],"native_values":[471,455,8,455,471,918],"rotation_degrees":59.224137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":458,"clock_position":458,"value":471},{"alpha_index":922,"clock_position":922,"value":455},{"alpha_index":1386,"clock_position":1386,"value":8},{"alpha_index":1850,"clock_position":1850,"value":455},{"alpha_index":2314,"clock_position":2314,"value":471},{"alpha_index":2778,"clock_position":2778,"value":918}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-459","alpha_indices":[459,923,1387,1851,2315,2779],"clock_positions":[459,923,1387,1851,2315,2779],"native_values":[458,5,921,468,921,5],"rotation_degrees":59.35344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":459,"clock_position":459,"value":458},{"alpha_index":923,"clock_position":923,"value":5},{"alpha_index":1387,"clock_position":1387,"value":921},{"alpha_index":1851,"clock_position":1851,"value":468},{"alpha_index":2315,"clock_position":2315,"value":921},{"alpha_index":2779,"clock_position":2779,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-460","alpha_indices":[460,924,1388,1852,2316,2780],"clock_positions":[460,924,1388,1852,2316,2780],"native_values":[3,460,3,923,466,923],"rotation_degrees":59.48275862068966,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":924,"clock_position":924,"value":460},{"alpha_index":1852,"clock_position":1852,"value":923},{"alpha_index":2316,"clock_position":2316,"value":466},{"alpha_index":2780,"clock_position":2780,"value":923}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-461","alpha_indices":[461,925,1389,1853,2317,2781],"clock_positions":[461,925,1389,1853,2317,2781],"native_values":[461,465,924,465,461,2],"rotation_degrees":59.61206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":461,"clock_position":461,"value":461},{"alpha_index":925,"clock_position":925,"value":465},{"alpha_index":1389,"clock_position":1389,"value":924},{"alpha_index":1853,"clock_position":1853,"value":465},{"alpha_index":2317,"clock_position":2317,"value":461},{"alpha_index":2781,"clock_position":2781,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-462","alpha_indices":[462,926,1390,1854,2318,2782],"clock_positions":[462,926,1390,1854,2318,2782],"native_values":[464,925,1,462,1,925],"rotation_degrees":59.741379310344826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":462,"clock_position":462,"value":464},{"alpha_index":926,"clock_position":926,"value":925},{"alpha_index":1390,"clock_position":1390,"value":1},{"alpha_index":1854,"clock_position":1854,"value":462},{"alpha_index":2318,"clock_position":2318,"value":1},{"alpha_index":2782,"clock_position":2782,"value":925}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-463","alpha_indices":[463,927,1391,1855,2319,2783],"clock_positions":[463,927,1391,1855,2319,2783],"native_values":[925,464,925,1,462,1],"rotation_degrees":59.87068965517241,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":463,"clock_position":463,"value":925},{"alpha_index":927,"clock_position":927,"value":464},{"alpha_index":1391,"clock_position":1391,"value":925},{"alpha_index":1855,"clock_position":1855,"value":1},{"alpha_index":2319,"clock_position":2319,"value":462},{"alpha_index":2783,"clock_position":2783,"value":1}],"native_369_qualifies":false}],"absence_reason":"No tested six-node formation contains only 3, 6 and 9 with all three present.","reference_path_available":false},"research_register":{"schema_version":"1.0.0","id":"oxtr-phase1-literature","version":"2026-10-18.1","title":"First Principles Genomics — research register","initial_biological_focus":"OXTR","scope":"Shared background literature for the initial OXTR research programme across M1–M1001. Studies of related mechanisms in other systems provide context for investigation.","relationship_to_atlas":"background_context","modulus_relevance_status":"Not yet assessed","hypothesis_reference_record_id":"fibonacci-m9-p24","hypothesis":"The Alpha, Beta, Gamma and Epsilon sequences of M9P24 may offer useful descriptions of biological timing, cellular division and molecular organisation in the context of OXTR. Bioinformatics and in silico modelling provide the planned means of investigation.","interpretation":"Publication findings describe their original experimental systems. Links from Atlas records identify shared reading; a sequence-to-biology correspondence remains open for assessment.","publication_count":14,"hero_publication_ids":["E03","E06","E08","E11"],"hero_selection":"Four lead references within the fourteen unique publications, one for each theme.","wss":{"status":"Awaiting assessment","score":null,"meaning":"Future assessment of relevance to individual Atlas records. Publication trust scores remain separate from WSS."},"appraisal_method":{"id":"provisional-editorial-v1","label":"Provisional editorial trust","range":[0,10],"purpose":"Prioritise closer reading of reported findings. This is an editorial assessment, without calibration or independent peer review.","components":{"design":{"range":[0,3],"criteria":{"3":"Controlled mechanistic test or quantitative prediction tested by manipulation","2":"Structured measurement or comparative design","1":"Descriptive observation","0":"Insufficient information"}},"validation":{"range":[0,3],"criteria":{"3":"Independent replication appraised","2":"Complementary evidence within the paper","1":"Limited or abstract-level corroboration","0":"Unassessed"}},"review":{"range":[0,3],"criteria":{"3":"Main text, relevant methods/results and captions reviewed","2":"Selected full-text sections","1":"Abstract, metadata or figure descriptions","0":"Unreviewed"}},"provenance":{"range":[0,1],"criteria":{"1":"Verified primary peer-reviewed publication","0":"Unverified"}}},"independent_replication_appraisal":"Not yet completed for this collection","citation_policy":"Crossref cited-by counts are a dated contextual snapshot and contribute no points. Coverage depends on deposited references. Unavailable counts remain null.","journal_policy":"Journal reputation and impact factor contribute no points.","jadad_policy":"Jadad concerns reporting of randomised clinical trials. It is not applicable to these fourteen study designs; no numeric Jadad score is assigned."},"publications":[{"id":"E01","title":"Reconstitution of circadian oscillation of cyanobacterial KaiC phosphorylation in vitro","author":"Nakajima et al.","year":"2005","journal":"Science","doi":"10.1126/science.1108451","theme":"Alpha · circadian timing","hero":null,"methods":"Purified cyanobacterial clock proteins; biochemical reconstitution","finding":"KaiA, KaiB, KaiC and ATP supported self-sustaining phosphorylation oscillation. Temperature compensation and agreement between mutant periods in vitro and in vivo strengthened the biological interpretation.","relevance":"direct evidence for a molecular timing mechanism; a broad Alpha reference independent of OXTR.","limit":"biochemical reconstruction is more informative about mechanism than visual analogy. It is a cyanobacterial system, not a mammalian receptor study, and does not support a universal exact 24-hour period or M9 correspondence.","access":"primary abstract and publication metadata. Replication and detailed methods require full-text appraisal before a formal quality rating.","scoreParts":{"design":3,"validation":1,"review":1,"provenance":1},"score":6,"scoreReason":"Molecular reconstitution tests a timing mechanism; appraisal currently covers the abstract and metadata.","jadad":"Not applicable","citationCount":1020,"citationSource":"Crossref cited-by count","citationChecked":"17 October 2026","crossrefTitle":"Reconstitution of Circadian Oscillation of Cyanobacterial KaiC Phosphorylation in Vitro"},{"id":"E02","title":"Phase locking and multiple oscillating attractors for the coupled mammalian clock and cell cycle","author":"Feillet et al.","year":"2014","journal":"PNAS","doi":"10.1073/pnas.1320474111","theme":"Alpha / Beta · cycle coupling","hero":null,"methods":"Mouse fibroblasts; live-cell imaging and modelling","finding":"live imaging of proliferating mouse fibroblasts, combined with modelling, identified phase locking and additional clock states under different conditions.","relevance":"direct support for studying relationships between biological cycles; connects the Alpha and Beta research themes without making them equivalent.","limit":"single-cell observations support the dynamical interpretation. Culture conditions and synchronisation matter, and related cells are not automatically independent replicates. No modular doubling or Atlas geometry was tested.","access":"primary abstract and selected results, including period distributions. A phase-space representation is not evidence of a physical toroidal cell structure.","scoreParts":{"design":2,"validation":2,"review":2,"provenance":1},"score":7,"scoreReason":"Live-cell observations and modelling provide complementary evidence for phase locking; selected results appraised.","jadad":"Not applicable","citationCount":216,"citationSource":"Crossref cited-by count","citationChecked":"17 October 2026","crossrefTitle":"Phase locking and multiple oscillating attractors for the coupled mammalian clock and cell cycle"},{"id":"E03","title":"Interaction between time-of-day and oxytocin efficacy in mice and humans with and without gestational diabetes","author":"Duong et al.","year":"2026 (online 2025)","journal":"Molecular Metabolism","doi":"10.1016/j.molmet.2025.102269","theme":"Alpha · circadian regulation","hero":"alpha","methods":"Mouse genetics; human cells; retrospective human records","finding":"mouse experiments support BMAL1 regulation of Oxtr and time-dependent oxytocin responsiveness. Human myometrial-cell experiments and records from 2,367 patients add distinct translational observations.","relevance":"a direct OXTR connection to the Alpha theme.","limit":"genetic perturbation and promoter experiments strengthen mechanism. Animal, cell and retrospective components need separate appraisal; the human observations can be confounded. Uterine findings do not establish effects in brain tissue.","access":"final publication abstract and selected full-text results. The 2024 preprint is superseded for this register and is not counted as another study.","scoreParts":{"design":3,"validation":2,"review":2,"provenance":1},"score":8,"scoreReason":"Genetic and promoter experiments support mechanism; the human observational component has separate confounding limits.","jadad":"Not applicable","citationCount":3,"citationSource":"Crossref cited-by count","citationChecked":"17 October 2026","crossrefTitle":"Interaction between time-of-day and oxytocin efficacy in mice and humans with and without gestational diabetes"},{"id":"E04","title":"Cryptochromes mediate rhythmic repression of the glucocorticoid receptor","author":"Lamia et al.","year":"2011","journal":"Nature","doi":"10.1038/nature10700","theme":"Alpha · receptor regulation","hero":null,"methods":"Mouse cells and mice; genetic and biochemical experiments","finding":"Cry1/Cry2 interacted with the glucocorticoid receptor and altered glucocorticoid-responsive transcription in mouse cells, with related metabolic phenotypes in mice.","relevance":"direct circadian–receptor evidence provides a natural NR3C1 example beyond oxytocin.","limit":"molecular interactions, genetic perturbations and physiological observations complement one another. Multiple pathways change in knockout animals; the results do not isolate a universal geometric explanation or establish human clinical effects.","access":"primary abstract and selected experimental/results text. NR3C1 identifies the receptor target; the principal genetic perturbations here involved cryptochromes.","scoreParts":{"design":3,"validation":2,"review":2,"provenance":1},"score":8,"scoreReason":"Genetic perturbations, molecular interactions and physiological measurements support the reported mechanism.","jadad":"Not applicable","citationCount":550,"citationSource":"Crossref cited-by count","citationChecked":"17 October 2026","crossrefTitle":"Cryptochromes mediate rhythmic repression of the glucocorticoid receptor"},{"id":"E05","title":"Experimental and theoretical study of mitotic spindle orientation","author":"Théry et al.","year":"2007","journal":"Nature","doi":"10.1038/nature05786","theme":"Beta · mitotic geometry","hero":null,"methods":"Human HeLa cells; controlled adhesion geometry and modelling","finding":"controlled adhesion patterns in human HeLa cells, combined with a physical model, accounted for spindle-orientation distributions across different microenvironment geometries.","relevance":"direct evidence that geometry is a meaningful biological variable; supports interest in the Beta/division theme and related shape families.","limit":"manipulation of the cell environment offers more than an observational resemblance. The model uses specific force assumptions and a transformed cell line. Division orientation is distinct from division rate, population doubling or a Fibonacci sequence.","access":"publisher abstract and figure descriptions. Full methods and sample accounting remain to be appraised.","scoreParts":{"design":3,"validation":1,"review":1,"provenance":1},"score":6,"scoreReason":"Controlled adhesion geometry tests a quantitative model; full methods and sample accounting remain open for appraisal.","jadad":"Not applicable","citationCount":424,"citationSource":"Crossref cited-by count","citationChecked":"17 October 2026","crossrefTitle":"Experimental and theoretical study of mitotic spindle orientation"},{"id":"E06","title":"Oxytocin promotes epicardial cell activation and heart regeneration after cardiac injury","author":"Wasserman et al.","year":"2022","journal":"Frontiers in Cell and Developmental Biology","doi":"10.3389/fcell.2022.985298","theme":"Beta · proliferation","hero":"beta","methods":"Human stem-cell-derived epicardial cells and zebrafish","finding":"OXT promoted activation and proliferation-related outcomes in human stem-cell-derived epicardial cells; OXTR knockdown removed the response. Zebrafish experiments supplied a separate regeneration context.","relevance":"a direct OXTR-related example for the Beta research theme.","limit":"receptor knockdown strengthens causal interpretation within the model. Check independent cell lines and differentiation batches; images are subsamples, not donors. Cultured epicardial cells and fish regeneration do not establish regeneration of adult human hearts.","access":"primary full-text methods/results and relevant figure captions, including OXTR knockdown and proliferation measurements.","scoreParts":{"design":3,"validation":2,"review":3,"provenance":1},"score":9,"scoreReason":"Receptor knockdown provides a mechanistic test alongside cell and zebrafish experiments; methods and results appraised.","jadad":"Not applicable","citationCount":25,"citationSource":"Crossref cited-by count","citationChecked":"17 October 2026","crossrefTitle":"Oxytocin promotes epicardial cell activation and heart regeneration after cardiac injury"},{"id":"E07","title":"Oxytocin stimulates hippocampal neurogenesis via oxytocin receptor expressed in CA3 pyramidal neurons","author":"Lin et al.","year":"2017","journal":"Nature Communications","doi":"10.1038/s41467-017-00675-5","theme":"Beta · survival / proliferation","hero":null,"methods":"Mice; conditional Oxtr deletion","finding":"conditional Oxtr deletion in mouse hippocampal excitatory neurons affected survival and maturation of newly generated neurons, while measured progenitor proliferation and early differentiation were unchanged.","relevance":"direct evidence that the biological outcome must be named precisely. It bounds generalisations from E06 without contradicting a different tissue-specific finding.","limit":"conditional genetics help localise the process. Appraise cell-type specificity, blinding and precision; an unchanged measured outcome does not prove absence of every possible effect.","access":"primary results/discussion. Retained deliberately to avoid presenting all OXTR growth-related findings as evidence of duplication.","scoreParts":{"design":3,"validation":2,"review":2,"provenance":1},"score":8,"scoreReason":"Conditional genetics and cell-outcome measurements distinguish survival from proliferation in this mouse system.","jadad":"Not applicable","citationCount":149,"citationSource":"Crossref cited-by count","citationChecked":"17 October 2026","crossrefTitle":"Oxytocin stimulates hippocampal neurogenesis via oxytocin receptor expressed in CA3 pyramidal neurons"},{"id":"E08","title":"Structural basis for the activation and ligand recognition of the human oxytocin receptor","author":"Waltenspühl et al.","year":"2022","journal":"Nature Communications","doi":"10.1038/s41467-022-31325-0","theme":"Gamma · molecular recognition","hero":"gamma","methods":"Engineered human receptor complex; cryo-EM and functional assays","finding":"cryo-EM at 3.2 Å and functional experiments characterised OXT recognition and receptor activation. All nine peptide residues participate in binding.","relevance":"a direct structural foundation for Gamma's molecular-recognition theme; useful context, but not confirmation, for the OXT-specific Epsilon proposal.","limit":"structure–function comparisons strengthen interpretation. Receptor stabilisation and an engineered G protein affect generalisation. The six-residue disulfide loop is not itself an aromatic hexagon; the reported contacts do not establish an Epsilon trajectory.","access":"full primary article main text, receptor-engineering description and functional-assay captions. No new molecular analysis performed.","scoreParts":{"design":3,"validation":2,"review":3,"provenance":1},"score":9,"scoreReason":"Structural observations and functional residue tests provide complementary evidence; main text and assay descriptions appraised.","jadad":"Not applicable","citationCount":46,"citationSource":"Crossref cited-by count","citationChecked":"17 October 2026","crossrefTitle":"Structural basis for the activation and ligand recognition of the human oxytocin receptor"},{"id":"E09","title":"X-ray structures and mechanism of the human serotonin transporter","author":"Coleman, Green & Gouaux","year":"2016","journal":"Nature","doi":"10.1038/nature17629","theme":"Gamma · molecular recognition","hero":null,"methods":"Engineered human serotonin transporter; crystallography and assays","finding":"structures of human SERT bound to antidepressants identified central and allosteric binding sites and explained aspects of inhibitor recognition.","relevance":"direct structural evidence broadens Gamma beyond OXTR to SLC6A4.","limit":"structural and binding/transport measurements are complementary. Thermostabilised constructs were used; the ts3 construct had no detectable transport activity. Results describe particular inhibitor-bound conformations rather than every physiological state.","access":"publisher abstract and selected primary methods/results. These data concern the protein product and ligand recognition, not regulation of SLC6A4 gene expression.","scoreParts":{"design":2,"validation":2,"review":2,"provenance":1},"score":7,"scoreReason":"Structures and functional measurements complement one another; engineered constructs constrain interpretation.","jadad":"Not applicable","citationCount":674,"citationSource":"Crossref cited-by count","citationChecked":"17 October 2026","crossrefTitle":"X-ray structures and mechanism of the human serotonin transporter"},{"id":"E10","title":"Structure of a D2 dopamine receptor–G-protein complex in a lipid membrane","author":"Yin et al.","year":"2020","journal":"Nature","doi":"10.1038/s41586-020-2379-5","theme":"Gamma · molecular recognition","hero":null,"methods":"Engineered human DRD2 complex in a lipid membrane; cryo-EM","finding":"cryo-EM characterised an agonist-bound DRD2–Gi complex within a reconstituted phospholipid membrane, identifying receptor, G-protein and lipid interactions.","relevance":"direct evidence for the structural context of molecular recognition; another Gamma hero example.","limit":"including a lipid environment improves contextual relevance relative to isolated detergent structures. The receptor complex is engineered and ligand-bound; it does not represent every receptor state or establish clinical outcomes.","access":"primary abstract and selected full-text structural results, with deposited structural metadata checked. No geometric correspondence to the Atlas was analysed.","scoreParts":{"design":2,"validation":1,"review":2,"provenance":1},"score":6,"scoreReason":"A membrane-reconstituted structural observation provides a defined molecular state; independent functional validation needs fuller appraisal.","jadad":"Not applicable","citationCount":199,"citationSource":"Crossref cited-by count","citationChecked":"17 October 2026","crossrefTitle":"Structure of a D2 dopamine receptor–G-protein complex in a lipid membrane"},{"id":"E11","title":"Assembly of a π–π stack of ligands in the binding site of an acetylcholine-binding protein","author":"Stornaiuolo et al.","year":"2013","journal":"Nature Communications","doi":"10.1038/ncomms2900","theme":"Epsilon · aromatic stacking","hero":"epsilon","methods":"Molluscan binding protein; crystallography and solution assays","finding":"an Aplysia acetylcholine-binding protein accommodated a stack of three aromatic ligands. Solution binding measurements supported the structural observation.","relevance":"direct experimental support for π-stacking as a molecular-recognition phenomenon; an Epsilon reference that does not depend on OXTR.","limit":"crystallography, mutagenesis and solution assays help address crystallographic-artifact concerns. This soluble molluscan protein is a model for receptor ligand-binding domains, not a complete human receptor. Neither the three-ligand count nor the stacked geometry establishes the Atlas traversal.","access":"full primary main text, including solution validation and scope of the receptor model.","scoreParts":{"design":3,"validation":2,"review":3,"provenance":1},"score":9,"scoreReason":"Structures, mutagenesis and solution assays support the binding interpretation; full main text appraised.","jadad":"Not applicable","citationCount":66,"citationSource":"Crossref cited-by count","citationChecked":"17 October 2026","crossrefTitle":"Assembly of a π–π stack of ligands in the binding site of an acetylcholine-binding protein"},{"id":"E12","title":"Targeted disruption of pi–pi stacking in Malaysian banana lectin reduces mitogenicity while preserving antiviral activity","author":"Covés-Datson et al.","year":"2021","journal":"Scientific Reports","doi":"10.1038/s41598-020-80577-7","theme":"Epsilon · aromatic stacking","hero":null,"methods":"Engineered plant lectin; structures and cellular assays","finding":"an F84T mutation disrupted aromatic stacking in Malay BanLec, reduced mitogenic activity and retained antiviral activity in the studied assays.","relevance":"a direct structure–function example for Epsilon; also connects molecular interactions with proliferation as a biological outcome.","limit":"structural checks and functional comparisons strengthen the rationale. Mutation can change several properties simultaneously, so this is not a pure isolation of one energetic contribution. Plant-lectin effects do not establish OXTR behaviour or clinical benefit.","access":"primary abstract and main structural/results sections. Published in 2021 despite “2020” appearing within the DOI.","scoreParts":{"design":3,"validation":2,"review":2,"provenance":1},"score":8,"scoreReason":"Targeted mutation and structural / cellular comparisons connect aromatic organisation with biological outcomes.","jadad":"Not applicable","citationCount":24,"citationSource":"Crossref cited-by count","citationChecked":"17 October 2026","crossrefTitle":"Targeted disruption of pi–pi stacking in Malaysian banana lectin reduces mitogenicity while preserving antiviral activity"},{"id":"E13","title":"Reconstruction of molecular orbital densities from photoemission data","author":"Puschnig et al.","year":"2009","journal":"Science","doi":"10.1126/science.1176105","theme":"Valence electron orbitals","hero":null,"methods":"Organic molecular films; photoemission and calculations","finding":"photoemission measurements and Fourier reconstruction yielded orbital-density distributions for pentacene films and p-sexiphenyl monolayers, compared with density-functional calculations.","relevance":"direct physics evidence for studying spatial electronic structure; contextual to the valence-electron theme and more distant from biological significance.","limit":"comparison of measurement and theory is valuable. Reconstruction is model-dependent and the samples are non-living materials. Orbital densities are not classical electron orbits or evidence of unicursal electron motion.","access":"primary abstract and metadata. No biological role, creation-of-life claim or numeric WSS assignment follows from this paper.","scoreParts":{"design":2,"validation":1,"review":1,"provenance":1},"score":5,"scoreReason":"Measurement and reconstruction are compared with calculations; current appraisal is abstract-level.","jadad":"Not applicable","citationCount":334,"citationSource":"Crossref cited-by count","citationChecked":"17 October 2026","crossrefTitle":"Reconstruction of Molecular Orbital Densities from Photoemission Data"},{"id":"E14","title":"CD38 is critical for social behaviour by regulating oxytocin secretion","author":"Jin et al.","year":"2007","journal":"Nature","doi":"10.1038/nature05526","theme":"Supporting OXT context","hero":null,"methods":"Mice; Cd38 knockout and rescue experiments","finding":"Cd38-knockout mice showed altered oxytocin secretion and behavioural phenotypes. Oxytocin replacement or hypothalamic delivery of human CD38 rescued selected outcomes.","relevance":"direct support for CD38 involvement in the oxytocin system. Retained as supporting hero context without forcing it into a particular sequence family.","limit":"knockout plus rescue strengthens causal interpretation in mice. Global deletion, behavioural measurement and human translation require careful appraisal. This concerns secretion, not proof of OXTR-expression regulation or geometric correspondence.","access":"primary abstract and figure descriptions. Full methods are needed before formal risk-of-bias grading.","scoreParts":{"design":3,"validation":1,"review":1,"provenance":1},"score":6,"scoreReason":"Knockout and rescue experiments test the secretion mechanism; full methods remain open for appraisal.","jadad":"Not applicable","citationCount":585,"citationSource":"Crossref cited-by count","citationChecked":"17 October 2026","crossrefTitle":"CD38 is critical for social behaviour by regulating oxytocin secretion"}]},"views":[{"id":"alpha","name":"Alpha","svg":"pilot-v1/views/m926/alpha.svg","png":"pilot-v1/views/m926/alpha.png"},{"id":"beta","name":"Beta","svg":"pilot-v1/views/m926/beta.svg","png":"pilot-v1/views/m926/beta.png"},{"id":"gamma","name":"Gamma","svg":"pilot-v1/views/m926/gamma.svg","png":"pilot-v1/views/m926/gamma.png"},{"id":"fibonacci-m926p2784","name":"Fibonacci M926P2784","svg":"pilot-v1/views/m926/fibonacci-m926p2784.svg","png":"pilot-v1/views/m926/fibonacci-m926p2784.png"}],"formation_interval_encoding":{"version":"alpha-endpoints-v1","rule":"For each formation interval, walk clockwise from from_index + 1 to to_index, excluding both endpoints and wrapping modulo P. Read values from alpha.residues. Endpoints, sum and residue are retained."},"family":{"m9":false,"label":null}}