{"schema_version":"2.3.0","dataset_version":"m1-m1001-v1","id":"fibonacci-m730-p2220","name":"Fibonacci M730P2220","modulus":730,"pisano_period":2220,"conventions":{"index_origin":0,"clock_labels":[2220,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,2218,2219],"orientation":"clockwise from north","zero_display":730,"alpha_circle_positions":2220,"beta_circle_positions":730,"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":[0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,257,137,394,531,195,726,191,187,378,565,213,48,261,309,570,149,719,138,127,265,392,657,319,246,565,81,646,727,643,640,553,463,286,19,305,324,629,223,122,345,467,82,549,631,450,351,71,422,493,185,678,133,81,214,295,509,74,583,657,510,437,217,654,141,65,206,271,477,18,495,513,278,61,339,400,9,409,418,97,515,612,397,279,676,225,171,396,567,233,70,303,373,676,319,265,584,119,703,92,65,157,222,379,601,250,121,371,492,133,625,28,653,681,604,555,429,254,683,207,160,367,527,164,691,125,86,211,297,508,75,583,658,511,439,220,659,149,78,227,305,532,107,639,16,655,671,596,537,403,210,613,93,706,69,45,114,159,273,432,705,407,382,59,441,500,211,711,192,173,365,538,173,711,154,135,289,424,713,407,390,67,457,524,251,45,296,341,637,248,155,403,558,231,59,290,349,639,258,167,425,592,287,149,436,585,291,146,437,583,290,143,433,576,279,125,404,529,203,2,205,207,412,619,301,190,491,681,442,393,105,498,603,371,244,615,129,14,143,157,300,457,27,484,511,265,46,311,357,668,295,233,528,31,559,590,419,279,698,247,215,462,677,409,356,35,391,426,87,513,600,383,253,636,159,65,224,289,513,72,585,657,512,439,221,660,151,81,232,313,545,128,673,71,14,85,99,184,283,467,20,487,507,264,41,305,346,651,267,188,455,643,368,281,649,200,119,319,438,27,465,492,227,719,216,205,421,626,317,213,530,13,543,556,369,195,564,29,593,622,485,377,132,509,641,420,331,21,352,373,725,368,363,1,364,365,729,364,363,727,360,357,717,344,331,675,276,221,497,718,485,473,228,701,199,170,369,539,178,717,165,152,317,469,56,525,581,376,227,603,100,703,73,46,119,165,284,449,3,452,455,177,632,79,711,60,41,101,142,243,385,628,283,181,464,645,379,294,673,237,180,417,597,284,151,435,586,291,147,438,585,293,148,441,589,300,159,459,618,347,235,582,87,669,26,695,721,686,677,633,580,483,333,86,419,505,194,699,163,132,295,427,722,419,411,100,511,611,392,273,665,208,143,351,494,115,609,724,603,597,470,337,77,414,491,175,666,111,47,158,205,363,568,201,39,240,279,519,68,587,655,512,437,219,656,145,71,216,287,503,60,563,623,456,349,75,424,499,193,692,155,117,272,389,661,320,251,571,92,663,25,688,713,671,654,595,519,384,173,557,0,557,557,384,211,595,76,671,17,688,705,663,638,571,479,320,69,389,458,117,575,692,537,499,306,75,381,456,107,563,670,503,443,216,659,145,74,219,293,512,75,587,662,519,451,240,691,201,162,363,525,158,683,111,64,175,239,414,653,337,260,597,127,724,121,115,236,351,587,208,65,273,338,611,219,100,319,419,8,427,435,132,567,699,536,505,311,86,397,483,150,633,53,686,9,695,704,669,643,582,495,347,112,459,571,300,141,441,582,293,145,438,583,291,144,435,579,284,133,417,550,237,57,294,351,645,266,181,447,628,345,243,588,101,689,60,19,79,98,177,275,452,727,449,446,165,611,46,657,703,630,603,503,376,149,525,674,469,413,152,565,717,552,539,361,170,531,701,502,473,245,718,233,221,454,675,399,344,13,357,370,727,367,364,1,365,366,1,367,368,5,373,378,21,399,420,89,509,598,377,245,622,137,29,166,195,361,556,187,13,200,213,413,626,309,205,514,719,503,492,265,27,292,319,611,200,81,281,362,643,275,188,463,651,384,305,689,264,223,487,710,467,447,184,631,85,716,71,57,128,185,313,498,81,579,660,509,439,218,657,145,72,217,289,506,65,571,636,477,383,130,513,643,426,339,35,374,409,53,462,515,247,32,279,311,590,171,31,202,233,435,668,373,311,684,265,219,484,703,457,430,157,587,14,601,615,486,371,127,498,625,393,288,681,239,190,429,619,318,207,525,2,527,529,326,125,451,576,297,143,440,583,293,146,439,585,294,149,443,592,305,167,472,639,381,290,671,231,172,403,575,248,93,341,434,45,479,524,273,67,340,407,17,424,441,135,576,711,557,538,365,173,538,711,519,500,289,59,348,407,25,432,457,159,616,45,661,706,637,613,520,403,193,596,59,655,714,639,623,532,425,227,652,149,71,220,291,511,72,583,655,508,433,211,644,125,39,164,203,367,570,207,47,254,301,555,126,681,77,28,105,133,238,371,609,250,129,379,508,157,665,92,27,119,146,265,411,676,357,303,660,233,163,396,559,225,54,279,333,612,215,97,312,409,721,400,391,61,452,513,235,18,253,271,524,65,589,654,513,437,220,657,147,74,221,295,516,81,597,678,545,493,308,71,379,450,99,549,648,467,385,122,507,629,406,305,711,286,267,553,90,643,3,646,649,565,484,319,73,392,465,127,592,719,581,570,421,261,682,213,165,378,543,191,4,195,199,394,593,257,120,377,497,144,641,55,696,21,717,8,725,3,728,1,729,0,729,729,728,727,725,722,717,709,696,675,641,586,497,353,120,473,593,336,199,535,4,539,543,352,165,517,682,469,421,160,581,11,592,603,465,338,73,411,484,165,649,84,3,87,90,177,267,444,711,425,406,101,507,608,385,263,648,181,99,280,379,659,308,237,545,52,597,649,516,435,221,656,147,73,220,293,513,76,589,665,524,459,253,712,235,217,452,669,391,330,721,321,312,633,215,118,333,451,54,505,559,334,163,497,660,427,357,54,411,465,146,611,27,638,665,573,508,351,129,480,609,359,238,597,105,702,77,49,126,175,301,476,47,523,570,363,203,566,39,605,644,519,433,222,655,147,72,219,291,510,71,581,652,503,425,198,623,91,714,75,59,134,193,327,520,117,637,24,661,685,616,571,457,298,25,323,348,671,289,230,519,19,538,557,365,192,557,19,576,595,441,306,17,323,340,663,273,206,479,685,434,389,93,482,575,327,172,499,671,440,381,91,472,563,305,138,443,581,294,145,439,584,293,147,440,587,297,154,451,605,326,201,527,728,525,523,318,111,429,540,239,49,288,337,625,232,127,359,486,115,601,716,587,573,430,273,703,246,219,465,684,419,373,62,435,497,202,699,171,140,311,451,32,483,515,268,53,321,374,695,339,304,643,217,130,347,477,94,571,665,506,441,217,658,145,73,218,291,509,70,579,649,498,417,185,602,57,659,716,645,631,546,447,263,710,243,223,466,689,425,384,79,463,542,275,87,362,449,81,530,611,411,292,703,265,238,503,11,514,525,309,104,413,517,200,717,187,174,361,535,166,701,137,108,245,353,598,221,89,310,399,709,378,357,5,362,367,729,366,365,1,366,367,3,370,373,13,386,399,55,454,509,233,12,245,257,502,29,531,560,361,191,552,13,565,578,413,261,674,205,149,354,503,127,630,27,657,684,611,565,446,281,727,278,275,553,98,651,19,670,689,629,588,487,345,102,447,549,266,85,351,436,57,493,550,313,133,446,579,295,144,439,583,292,145,437,582,289,141,430,571,271,112,383,495,148,643,61,704,35,9,44,53,97,150,247,397,644,311,225,536,31,567,598,435,303,8,311,319,630,219,119,338,457,65,522,587,379,236,615,121,6,127,133,260,393,653,316,239,555,64,619,683,572,525,367,162,529,691,490,451,211,662,143,75,218,293,511,74,585,659,514,443,227,670,167,107,274,381,655,306,231,537,38,575,613,458,341,69,410,479,159,638,67,705,42,17,59,76,135,211,346,557,173,0,173,173,346,519,135,654,59,713,42,25,67,92,159,251,410,661,341,272,613,155,38,193,231,424,655,349,274,623,167,60,227,287,514,71,585,656,511,437,218,655,143,68,211,279,490,39,529,568,367,205,572,47,619,666,555,491,316,77,393,470,133,603,6,609,615,494,379,143,522,665,457,392,119,511,630,411,311,722,303,295,598,163,31,194,225,419,644,333,247,580,97,677,44,721,35,26,61,87,148,235,383,618,271,159,430,589,289,148,437,585,292,147,439,586,295,151,446,597,313,180,493,673,436,379,85,464,549,283,102,385,487,142,629,41,670,711,651,632,553,455,278,3,281,284,565,119,684,73,27,100,127,227,354,581,205,56,261,317,578,165,13,178,191,369,560,199,29,228,257,485,12,497,509,276,55,331,386,717,373,360,3,363,366,729,365,364,729,363,362,725,357,352,709,331,310,641,221,132,353,485,108,593,701,564,535,369,174,543,717,530,517,317,104,421,525,216,11,227,238,465,703,438,411,119,530,649,449,368,87,455,542,267,79,346,425,41,466,507,243,20,263,283,546,99,645,14,659,673,602,545,417,232,649,151,70,221,291,512,73,585,658,513,441,224,665,159,94,253,347,600,217,87,304,391,695,356,321,677,268,215,483,698,451,419,140,559,699,528,497,295,62,357,419,46,465,511,246,27,273,300,573,143,716,129,115,244,359,603,232,105,337,442,49,491,540,301,111,412,523,205,728,203,201,404,605,279,154,433,587,290,147,437,584,291,145,436,581,287,138,425,563,258,91,349,440,59,499,558,327,155,482,637,389,296,685,251,206,457,663,390,323,713,306,289,595,154,19,173,192,365,557,192,19,211,230,441,671,382,323,705,298,273,571,114,685,69,24,93,117,210,327,537,134,671,75,16,91,107,198,305,503,78,581,659,510,439,219,658,147,75,222,297,519,86,605,691,566,527,363,160,523,683,476,429,175,604,49,653,702,625,597,492,359,121,480,601,351,222,573,65,638,703,611,584,465,319,54,373,427,70,497,567,334,171,505,676,451,397,118,515,633,418,321,9,330,339,669,278,217,495,712,477,459,206,665,141,76,217,293,510,73,583,656,509,435,214,649,133,52,185,237,422,659,351,280,631,181,82,263,345,608,223,101,324,425,19,444,463,177,640,87,727,84,81,165,246,411,657,338,265,603,138,11,149,160,309,469,48,517,565,352,187,539,726,535,531,336,137,473,610,353,233,586,89,675,34,709,13,722,5,727,2,729,1],"display_values":[730,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,257,137,394,531,195,726,191,187,378,565,213,48,261,309,570,149,719,138,127,265,392,657,319,246,565,81,646,727,643,640,553,463,286,19,305,324,629,223,122,345,467,82,549,631,450,351,71,422,493,185,678,133,81,214,295,509,74,583,657,510,437,217,654,141,65,206,271,477,18,495,513,278,61,339,400,9,409,418,97,515,612,397,279,676,225,171,396,567,233,70,303,373,676,319,265,584,119,703,92,65,157,222,379,601,250,121,371,492,133,625,28,653,681,604,555,429,254,683,207,160,367,527,164,691,125,86,211,297,508,75,583,658,511,439,220,659,149,78,227,305,532,107,639,16,655,671,596,537,403,210,613,93,706,69,45,114,159,273,432,705,407,382,59,441,500,211,711,192,173,365,538,173,711,154,135,289,424,713,407,390,67,457,524,251,45,296,341,637,248,155,403,558,231,59,290,349,639,258,167,425,592,287,149,436,585,291,146,437,583,290,143,433,576,279,125,404,529,203,2,205,207,412,619,301,190,491,681,442,393,105,498,603,371,244,615,129,14,143,157,300,457,27,484,511,265,46,311,357,668,295,233,528,31,559,590,419,279,698,247,215,462,677,409,356,35,391,426,87,513,600,383,253,636,159,65,224,289,513,72,585,657,512,439,221,660,151,81,232,313,545,128,673,71,14,85,99,184,283,467,20,487,507,264,41,305,346,651,267,188,455,643,368,281,649,200,119,319,438,27,465,492,227,719,216,205,421,626,317,213,530,13,543,556,369,195,564,29,593,622,485,377,132,509,641,420,331,21,352,373,725,368,363,1,364,365,729,364,363,727,360,357,717,344,331,675,276,221,497,718,485,473,228,701,199,170,369,539,178,717,165,152,317,469,56,525,581,376,227,603,100,703,73,46,119,165,284,449,3,452,455,177,632,79,711,60,41,101,142,243,385,628,283,181,464,645,379,294,673,237,180,417,597,284,151,435,586,291,147,438,585,293,148,441,589,300,159,459,618,347,235,582,87,669,26,695,721,686,677,633,580,483,333,86,419,505,194,699,163,132,295,427,722,419,411,100,511,611,392,273,665,208,143,351,494,115,609,724,603,597,470,337,77,414,491,175,666,111,47,158,205,363,568,201,39,240,279,519,68,587,655,512,437,219,656,145,71,216,287,503,60,563,623,456,349,75,424,499,193,692,155,117,272,389,661,320,251,571,92,663,25,688,713,671,654,595,519,384,173,557,730,557,557,384,211,595,76,671,17,688,705,663,638,571,479,320,69,389,458,117,575,692,537,499,306,75,381,456,107,563,670,503,443,216,659,145,74,219,293,512,75,587,662,519,451,240,691,201,162,363,525,158,683,111,64,175,239,414,653,337,260,597,127,724,121,115,236,351,587,208,65,273,338,611,219,100,319,419,8,427,435,132,567,699,536,505,311,86,397,483,150,633,53,686,9,695,704,669,643,582,495,347,112,459,571,300,141,441,582,293,145,438,583,291,144,435,579,284,133,417,550,237,57,294,351,645,266,181,447,628,345,243,588,101,689,60,19,79,98,177,275,452,727,449,446,165,611,46,657,703,630,603,503,376,149,525,674,469,413,152,565,717,552,539,361,170,531,701,502,473,245,718,233,221,454,675,399,344,13,357,370,727,367,364,1,365,366,1,367,368,5,373,378,21,399,420,89,509,598,377,245,622,137,29,166,195,361,556,187,13,200,213,413,626,309,205,514,719,503,492,265,27,292,319,611,200,81,281,362,643,275,188,463,651,384,305,689,264,223,487,710,467,447,184,631,85,716,71,57,128,185,313,498,81,579,660,509,439,218,657,145,72,217,289,506,65,571,636,477,383,130,513,643,426,339,35,374,409,53,462,515,247,32,279,311,590,171,31,202,233,435,668,373,311,684,265,219,484,703,457,430,157,587,14,601,615,486,371,127,498,625,393,288,681,239,190,429,619,318,207,525,2,527,529,326,125,451,576,297,143,440,583,293,146,439,585,294,149,443,592,305,167,472,639,381,290,671,231,172,403,575,248,93,341,434,45,479,524,273,67,340,407,17,424,441,135,576,711,557,538,365,173,538,711,519,500,289,59,348,407,25,432,457,159,616,45,661,706,637,613,520,403,193,596,59,655,714,639,623,532,425,227,652,149,71,220,291,511,72,583,655,508,433,211,644,125,39,164,203,367,570,207,47,254,301,555,126,681,77,28,105,133,238,371,609,250,129,379,508,157,665,92,27,119,146,265,411,676,357,303,660,233,163,396,559,225,54,279,333,612,215,97,312,409,721,400,391,61,452,513,235,18,253,271,524,65,589,654,513,437,220,657,147,74,221,295,516,81,597,678,545,493,308,71,379,450,99,549,648,467,385,122,507,629,406,305,711,286,267,553,90,643,3,646,649,565,484,319,73,392,465,127,592,719,581,570,421,261,682,213,165,378,543,191,4,195,199,394,593,257,120,377,497,144,641,55,696,21,717,8,725,3,728,1,729,730,729,729,728,727,725,722,717,709,696,675,641,586,497,353,120,473,593,336,199,535,4,539,543,352,165,517,682,469,421,160,581,11,592,603,465,338,73,411,484,165,649,84,3,87,90,177,267,444,711,425,406,101,507,608,385,263,648,181,99,280,379,659,308,237,545,52,597,649,516,435,221,656,147,73,220,293,513,76,589,665,524,459,253,712,235,217,452,669,391,330,721,321,312,633,215,118,333,451,54,505,559,334,163,497,660,427,357,54,411,465,146,611,27,638,665,573,508,351,129,480,609,359,238,597,105,702,77,49,126,175,301,476,47,523,570,363,203,566,39,605,644,519,433,222,655,147,72,219,291,510,71,581,652,503,425,198,623,91,714,75,59,134,193,327,520,117,637,24,661,685,616,571,457,298,25,323,348,671,289,230,519,19,538,557,365,192,557,19,576,595,441,306,17,323,340,663,273,206,479,685,434,389,93,482,575,327,172,499,671,440,381,91,472,563,305,138,443,581,294,145,439,584,293,147,440,587,297,154,451,605,326,201,527,728,525,523,318,111,429,540,239,49,288,337,625,232,127,359,486,115,601,716,587,573,430,273,703,246,219,465,684,419,373,62,435,497,202,699,171,140,311,451,32,483,515,268,53,321,374,695,339,304,643,217,130,347,477,94,571,665,506,441,217,658,145,73,218,291,509,70,579,649,498,417,185,602,57,659,716,645,631,546,447,263,710,243,223,466,689,425,384,79,463,542,275,87,362,449,81,530,611,411,292,703,265,238,503,11,514,525,309,104,413,517,200,717,187,174,361,535,166,701,137,108,245,353,598,221,89,310,399,709,378,357,5,362,367,729,366,365,1,366,367,3,370,373,13,386,399,55,454,509,233,12,245,257,502,29,531,560,361,191,552,13,565,578,413,261,674,205,149,354,503,127,630,27,657,684,611,565,446,281,727,278,275,553,98,651,19,670,689,629,588,487,345,102,447,549,266,85,351,436,57,493,550,313,133,446,579,295,144,439,583,292,145,437,582,289,141,430,571,271,112,383,495,148,643,61,704,35,9,44,53,97,150,247,397,644,311,225,536,31,567,598,435,303,8,311,319,630,219,119,338,457,65,522,587,379,236,615,121,6,127,133,260,393,653,316,239,555,64,619,683,572,525,367,162,529,691,490,451,211,662,143,75,218,293,511,74,585,659,514,443,227,670,167,107,274,381,655,306,231,537,38,575,613,458,341,69,410,479,159,638,67,705,42,17,59,76,135,211,346,557,173,730,173,173,346,519,135,654,59,713,42,25,67,92,159,251,410,661,341,272,613,155,38,193,231,424,655,349,274,623,167,60,227,287,514,71,585,656,511,437,218,655,143,68,211,279,490,39,529,568,367,205,572,47,619,666,555,491,316,77,393,470,133,603,6,609,615,494,379,143,522,665,457,392,119,511,630,411,311,722,303,295,598,163,31,194,225,419,644,333,247,580,97,677,44,721,35,26,61,87,148,235,383,618,271,159,430,589,289,148,437,585,292,147,439,586,295,151,446,597,313,180,493,673,436,379,85,464,549,283,102,385,487,142,629,41,670,711,651,632,553,455,278,3,281,284,565,119,684,73,27,100,127,227,354,581,205,56,261,317,578,165,13,178,191,369,560,199,29,228,257,485,12,497,509,276,55,331,386,717,373,360,3,363,366,729,365,364,729,363,362,725,357,352,709,331,310,641,221,132,353,485,108,593,701,564,535,369,174,543,717,530,517,317,104,421,525,216,11,227,238,465,703,438,411,119,530,649,449,368,87,455,542,267,79,346,425,41,466,507,243,20,263,283,546,99,645,14,659,673,602,545,417,232,649,151,70,221,291,512,73,585,658,513,441,224,665,159,94,253,347,600,217,87,304,391,695,356,321,677,268,215,483,698,451,419,140,559,699,528,497,295,62,357,419,46,465,511,246,27,273,300,573,143,716,129,115,244,359,603,232,105,337,442,49,491,540,301,111,412,523,205,728,203,201,404,605,279,154,433,587,290,147,437,584,291,145,436,581,287,138,425,563,258,91,349,440,59,499,558,327,155,482,637,389,296,685,251,206,457,663,390,323,713,306,289,595,154,19,173,192,365,557,192,19,211,230,441,671,382,323,705,298,273,571,114,685,69,24,93,117,210,327,537,134,671,75,16,91,107,198,305,503,78,581,659,510,439,219,658,147,75,222,297,519,86,605,691,566,527,363,160,523,683,476,429,175,604,49,653,702,625,597,492,359,121,480,601,351,222,573,65,638,703,611,584,465,319,54,373,427,70,497,567,334,171,505,676,451,397,118,515,633,418,321,9,330,339,669,278,217,495,712,477,459,206,665,141,76,217,293,510,73,583,656,509,435,214,649,133,52,185,237,422,659,351,280,631,181,82,263,345,608,223,101,324,425,19,444,463,177,640,87,727,84,81,165,246,411,657,338,265,603,138,11,149,160,309,469,48,517,565,352,187,539,726,535,531,336,137,473,610,353,233,586,89,675,34,709,13,722,5,727,2,729,1]},"gamma":{"alpha_indices":[0,4,8,12,19,20,21,24,26,27,28,29,30,33,37,39,41,51,55,58,60,61,66,68,74,75,78,79,83,84,85,86,89,91,96,98,100,101,102,103,106,117,123,128,130,131,134,143,145,153,158,163,165,167,169,170,171,172,173,174,175,179,182,183,188,190,195,200,207,208,212,213,220,221,228,229,236,242,244,245,246,247,250,251,255,257,263,267,272,276,282,283,284,285,288,289,293,294,295,296,300,302,311,317,318,322,323,333,334,335,336,339,344,347,349,350,351,357,360,362,367,371,373,375,376,377,380,381,387,391,394,395,400,404,410,413,416,419,420,424,430,432,434,435,436,437,440,442,443,444,445,448,450,451,452,453,456,457,458,464,466,467,472,474,479,484,488,491,493,494,498,501,502,506,508,509,510,511,512,518,522,525,528,530,536,544,549,551,552,555,558,565,566,571,574,577,579,580,581,582,588,592,595,598,600,602,603,604,605,608,612,616,622,626,629,635,636,637,638,644,645,646,649,652,654,655,658,660,661,662,663,666,668,669,670,671,674,676,677,678,679,680,683,685,686,687,690,694,700,703,705,706,710,716,717,721,730,731,734,741,747,748,749,750,760,766,769,774,776,781,788,789,792,797,803,807,808,809,810,814,816,822,823,826,828,829,834,838,841,845,849,851,860,861,864,866,867,868,871,873,874,875,882,883,890,891,898,899,902,907,910,913,919,920,921,922,928,929,933,936,938,940,951,952,961,963,971,975,976,980,981,982,985,989,991,997,1001,1003,1004,1005,1008,1010,1011,1012,1013,1014,1017,1024,1026,1032,1033,1036,1037,1041,1042,1043,1044,1050,1051,1052,1053,1057,1061,1063,1065,1067,1075,1080,1082,1084,1085,1086,1087,1090,1095,1098,1101,1102,1103,1106,1109,1110,1111,1112,1117,1119,1120,1125,1128,1133,1135,1144,1145,1148,1150,1152,1153,1154,1155,1156,1157,1158,1159,1163,1167,1169,1174,1177,1179,1180,1183,1187,1192,1198,1200,1202,1203,1204,1207,1209,1215,1217,1218,1219,1220,1223,1226,1228,1229,1230,1231,1234,1235,1236,1239,1245,1246,1249,1252,1254,1256,1257,1258,1259,1260,1266,1269,1270,1274,1276,1278,1287,1291,1296,1299,1301,1302,1306,1307,1313,1316,1321,1326,1329,1334,1337,1342,1345,1347,1348,1349,1350,1353,1359,1364,1366,1368,1369,1370,1371,1375,1378,1379,1384,1388,1391,1397,1402,1408,1411,1413,1414,1417,1420,1422,1423,1426,1431,1436,1439,1442,1450,1451,1456,1458,1464,1471,1473,1474,1478,1479,1482,1484,1489,1494,1499,1503,1508,1512,1515,1516,1517,1518,1528,1533,1535,1536,1537,1538,1541,1543,1549,1551,1557,1559,1565,1571,1575,1580,1583,1585,1586,1590,1591,1596,1600,1602,1606,1610,1615,1617,1625,1630,1639,1641,1642,1643,1649,1652,1655,1656,1660,1665,1669,1670,1671,1674,1678,1688,1695,1700,1709,1711,1719,1720,1724,1727,1728,1729,1730,1734,1740,1741,1744,1750,1753,1763,1767,1769,1775,1777,1783,1785,1792,1794,1801,1802,1807,1812,1814,1818,1822,1825,1829,1833,1836,1839,1843,1845,1846,1847,1848,1849,1852,1853,1856,1863,1866,1869,1871,1872,1873,1874,1880,1881,1885,1887,1888,1894,1897,1903,1904,1908,1909,1910,1916,1922,1925,1927,1928,1931,1935,1937,1942,1946,1952,1953,1957,1960,1962,1963,1964,1965,1966,1969,1973,1975,1980,1982,1988,1991,1996,1999,2004,2007,2013,2014,2024,2025,2028,2034,2037,2041,2045,2047,2049,2051,2052,2053,2054,2055,2056,2057,2060,2064,2067,2070,2072,2074,2075,2076,2077,2078,2084,2089,2094,2096,2097,2100,2102,2103,2104,2110,2112,2117,2119,2126,2128,2129,2130,2131,2132,2135,2137,2138,2141,2145,2150,2156,2159,2165,2169,2172,2174,2176,2178,2179,2180,2181,2182,2183,2186,2187,2191,2193,2199,2201,2202,2210,2218],"clock_positions":[2220,4,8,12,19,20,21,24,26,27,28,29,30,33,37,39,41,51,55,58,60,61,66,68,74,75,78,79,83,84,85,86,89,91,96,98,100,101,102,103,106,117,123,128,130,131,134,143,145,153,158,163,165,167,169,170,171,172,173,174,175,179,182,183,188,190,195,200,207,208,212,213,220,221,228,229,236,242,244,245,246,247,250,251,255,257,263,267,272,276,282,283,284,285,288,289,293,294,295,296,300,302,311,317,318,322,323,333,334,335,336,339,344,347,349,350,351,357,360,362,367,371,373,375,376,377,380,381,387,391,394,395,400,404,410,413,416,419,420,424,430,432,434,435,436,437,440,442,443,444,445,448,450,451,452,453,456,457,458,464,466,467,472,474,479,484,488,491,493,494,498,501,502,506,508,509,510,511,512,518,522,525,528,530,536,544,549,551,552,555,558,565,566,571,574,577,579,580,581,582,588,592,595,598,600,602,603,604,605,608,612,616,622,626,629,635,636,637,638,644,645,646,649,652,654,655,658,660,661,662,663,666,668,669,670,671,674,676,677,678,679,680,683,685,686,687,690,694,700,703,705,706,710,716,717,721,730,731,734,741,747,748,749,750,760,766,769,774,776,781,788,789,792,797,803,807,808,809,810,814,816,822,823,826,828,829,834,838,841,845,849,851,860,861,864,866,867,868,871,873,874,875,882,883,890,891,898,899,902,907,910,913,919,920,921,922,928,929,933,936,938,940,951,952,961,963,971,975,976,980,981,982,985,989,991,997,1001,1003,1004,1005,1008,1010,1011,1012,1013,1014,1017,1024,1026,1032,1033,1036,1037,1041,1042,1043,1044,1050,1051,1052,1053,1057,1061,1063,1065,1067,1075,1080,1082,1084,1085,1086,1087,1090,1095,1098,1101,1102,1103,1106,1109,1110,1111,1112,1117,1119,1120,1125,1128,1133,1135,1144,1145,1148,1150,1152,1153,1154,1155,1156,1157,1158,1159,1163,1167,1169,1174,1177,1179,1180,1183,1187,1192,1198,1200,1202,1203,1204,1207,1209,1215,1217,1218,1219,1220,1223,1226,1228,1229,1230,1231,1234,1235,1236,1239,1245,1246,1249,1252,1254,1256,1257,1258,1259,1260,1266,1269,1270,1274,1276,1278,1287,1291,1296,1299,1301,1302,1306,1307,1313,1316,1321,1326,1329,1334,1337,1342,1345,1347,1348,1349,1350,1353,1359,1364,1366,1368,1369,1370,1371,1375,1378,1379,1384,1388,1391,1397,1402,1408,1411,1413,1414,1417,1420,1422,1423,1426,1431,1436,1439,1442,1450,1451,1456,1458,1464,1471,1473,1474,1478,1479,1482,1484,1489,1494,1499,1503,1508,1512,1515,1516,1517,1518,1528,1533,1535,1536,1537,1538,1541,1543,1549,1551,1557,1559,1565,1571,1575,1580,1583,1585,1586,1590,1591,1596,1600,1602,1606,1610,1615,1617,1625,1630,1639,1641,1642,1643,1649,1652,1655,1656,1660,1665,1669,1670,1671,1674,1678,1688,1695,1700,1709,1711,1719,1720,1724,1727,1728,1729,1730,1734,1740,1741,1744,1750,1753,1763,1767,1769,1775,1777,1783,1785,1792,1794,1801,1802,1807,1812,1814,1818,1822,1825,1829,1833,1836,1839,1843,1845,1846,1847,1848,1849,1852,1853,1856,1863,1866,1869,1871,1872,1873,1874,1880,1881,1885,1887,1888,1894,1897,1903,1904,1908,1909,1910,1916,1922,1925,1927,1928,1931,1935,1937,1942,1946,1952,1953,1957,1960,1962,1963,1964,1965,1966,1969,1973,1975,1980,1982,1988,1991,1996,1999,2004,2007,2013,2014,2024,2025,2028,2034,2037,2041,2045,2047,2049,2051,2052,2053,2054,2055,2056,2057,2060,2064,2067,2070,2072,2074,2075,2076,2077,2078,2084,2089,2094,2096,2097,2100,2102,2103,2104,2110,2112,2117,2119,2126,2128,2129,2130,2131,2132,2135,2137,2138,2141,2145,2150,2156,2159,2165,2169,2172,2174,2176,2178,2179,2180,2181,2182,2183,2186,2187,2191,2193,2199,2201,2202,2210,2218],"clockwise_values":[730,3,21,144,531,195,726,378,213,48,261,309,570,138,657,246,81,324,345,549,450,351,678,81,657,510,654,141,477,18,495,513,339,9,612,279,225,171,396,567,303,222,492,681,555,429,207,297,75,78,639,537,210,93,69,45,114,159,273,432,705,441,711,192,711,135,390,45,558,231,639,258,585,291,576,279,207,681,393,105,498,603,615,129,300,27,357,528,279,462,426,87,513,600,636,159,513,72,585,657,660,81,99,507,264,651,267,438,27,465,492,216,213,543,369,195,564,132,420,21,363,729,363,360,357,717,675,276,228,369,717,165,525,603,165,3,177,711,60,243,645,294,237,180,417,597,435,291,147,438,585,441,300,159,459,618,582,87,669,633,483,333,699,132,411,273,351,609,603,597,414,666,111,363,201,39,240,279,519,219,216,60,456,75,117,663,654,519,384,730,384,705,663,69,117,537,306,75,381,456,216,219,75,519,240,201,162,363,525,111,414,597,351,273,219,435,132,567,699,483,150,633,9,669,582,495,459,300,141,441,582,438,291,144,435,579,417,237,57,294,351,645,447,345,243,588,60,177,165,657,630,603,525,717,552,531,675,399,357,366,378,21,399,420,195,213,309,492,27,81,651,384,264,447,57,498,81,579,660,657,72,636,477,513,426,339,462,279,171,435,684,219,615,486,498,393,288,681,429,318,207,525,576,297,585,294,639,381,231,93,45,273,441,135,576,711,711,519,348,432,159,45,714,639,291,72,39,570,207,555,126,681,105,609,129,27,411,357,303,660,396,225,54,279,333,612,312,513,18,654,513,657,147,516,81,597,678,450,99,549,648,507,711,267,90,3,465,570,261,213,165,378,543,195,120,144,696,21,717,3,729,730,729,729,717,696,675,120,336,543,165,603,465,411,165,84,3,87,90,177,267,444,711,507,648,99,237,597,516,435,147,513,459,669,330,321,312,633,333,54,660,357,54,411,465,27,573,351,129,480,609,597,105,702,126,570,363,39,519,222,147,72,219,291,510,198,714,75,327,117,24,348,519,192,576,441,306,663,273,93,327,381,138,294,147,297,201,525,318,111,429,540,288,486,573,273,246,219,465,684,435,699,171,483,321,339,477,441,291,579,498,417,57,645,546,447,243,384,87,81,411,525,309,717,174,108,399,378,357,729,366,366,3,399,12,531,552,261,354,630,27,657,684,651,588,345,102,447,549,351,57,579,144,582,141,495,9,150,225,567,435,303,630,219,522,615,6,393,555,525,162,75,585,381,306,231,537,69,159,705,42,135,730,519,135,654,42,159,231,60,585,279,39,666,555,393,603,6,609,615,522,630,411,303,225,333,87,618,159,585,147,597,180,549,102,711,651,3,684,27,354,261,165,369,228,12,276,717,360,3,363,366,729,729,363,357,132,108,564,369,174,543,717,525,216,465,438,411,87,267,507,243,546,99,645,417,291,585,513,441,159,600,87,321,483,699,528,357,465,246,27,273,300,573,129,603,105,540,111,201,279,147,291,138,258,558,327,663,390,306,192,192,441,705,273,114,69,24,93,117,210,327,537,75,198,78,510,219,147,75,222,297,519,363,429,702,597,492,480,351,222,573,465,54,567,171,633,321,9,330,339,669,495,477,459,141,510,435,237,351,345,324,444,177,87,84,81,165,246,411,657,603,138,309,48,726,531,336,675,729],"triangle_paths":[]},"beta":{"interval_sums":[4,26,178,2008,0,0,378,565,0,0,0,0,868,784,319,565,4282,974,549,631,0,1171,133,1675,0,654,0,542,0,0,0,339,400,1439,397,676,0,0,0,303,3353,1722,1439,604,0,937,2331,508,3219,1171,1938,403,613,706,0,0,0,0,0,0,848,711,0,1249,154,1833,1299,2080,0,698,0,2056,0,2032,0,1468,2013,442,0,0,0,615,0,314,457,1617,1196,1599,1160,1868,0,0,0,636,0,578,0,0,0,1172,151,2061,1441,0,692,0,3222,0,0,0,946,1569,543,556,0,0,2106,1150,331,1818,730,364,727,0,0,675,0,2394,1070,717,0,994,1184,1041,733,907,711,0,284,1941,379,673,0,0,0,435,586,0,0,0,441,589,0,0,0,582,0,0,2805,580,0,1204,163,1863,1614,1016,609,724,0,884,666,0,410,568,0,0,0,0,2259,872,790,1186,349,1963,2556,2097,595,0,730,1114,2258,0,2008,847,1267,499,0,0,0,2286,878,805,1249,451,691,0,0,0,841,478,1250,1323,860,949,1273,0,0,0,1835,0,0,739,1399,643,0,459,571,0,0,0,438,583,0,0,0,417,550,0,0,0,0,447,628,0,0,790,196,2349,657,703,0,1028,2273,0,1070,3547,0,357,2194,1114,0,0,0,2772,1317,1039,1941,265,1422,2212,0,994,1887,1687,626,0,0,0,1166,145,1648,0,513,643,0,871,794,901,466,1352,265,3433,0,498,625,0,0,429,619,0,0,1960,0,2044,0,2128,0,961,1398,775,1003,1255,0,0,0,2171,0,848,432,457,616,5043,0,2899,511,3159,734,0,602,0,0,105,742,250,1801,530,676,0,0,396,559,0,0,0,0,312,2434,235,1702,0,657,0,590,0,0,0,1796,0,0,0,974,1340,286,553,643,3128,2019,421,682,0,0,0,195,1443,874,696,0,0,733,729,0,0,0,2902,709,0,2077,1066,1277,352,3433,0,411,484,649,0,0,0,0,0,0,0,932,1256,181,1626,597,649,0,877,586,1854,1869,391,721,0,0,333,451,2058,427,0,0,0,757,1303,508,0,0,0,597,0,0,126,1522,0,769,1249,433,655,0,0,0,0,2232,714,0,386,520,637,3636,1190,1479,576,595,0,680,0,2193,1057,1782,1431,1024,1461,1027,1536,1255,523,0,0,0,288,1680,2019,430,703,0,0,0,854,699,0,934,836,1069,1641,1836,1311,579,649,0,787,1375,631,0,973,1803,1359,811,1141,2526,0,1234,187,1900,1816,709,0,734,0,366,367,1142,1251,1033,1112,1569,1028,630,0,0,0,3834,2007,487,0,0,0,351,436,1935,295,1896,289,1767,1591,194,1599,567,598,0,638,0,979,1202,121,520,1208,1938,367,3177,1096,3061,655,0,0,2025,889,705,0,152,1287,692,0,0,772,184,2934,2492,1099,2899,490,2907,0,884,603,0,0,0,1016,2144,0,1033,1281,1063,2488,766,271,1893,292,1917,313,2530,283,2354,0,1918,1249,73,454,842,895,382,788,742,1006,772,373,0,0,0,0,729,0,1087,2564,838,1294,535,0,0,0,1889,0,476,703,0,2115,997,1357,0,566,0,0,2493,1323,585,658,0,889,694,217,1746,1160,2267,0,854,465,511,0,0,0,0,859,718,232,1319,301,2071,1009,1464,1021,1449,988,1438,0,3558,0,1036,1230,922,460,1376,298,571,685,0,0,0,0,0,0,805,214,808,1240,439,658,0,0,0,0,2475,1842,1481,625,0,480,601,0,0,2601,319,1367,334,2662,418,0,0,0,0,495,712,0,871,586,1821,1233,1081,1437,932,444,463,640,727,0,0,0,0,0,603,0,320,469,2160,535,0,2481,2212,1],"interval_residues":[4,26,178,548,0,0,378,565,0,0,0,0,138,54,319,565,632,244,549,631,0,441,133,215,0,654,0,542,0,0,0,339,400,709,397,676,0,0,0,303,433,262,709,604,0,207,141,508,299,441,478,403,613,706,0,0,0,0,0,0,118,711,0,519,154,373,569,620,0,698,0,596,0,572,0,8,553,442,0,0,0,615,0,314,457,157,466,139,430,408,0,0,0,636,0,578,0,0,0,442,151,601,711,0,692,0,302,0,0,0,216,109,543,556,0,0,646,420,331,358,0,364,727,0,0,675,0,204,340,717,0,264,454,311,3,177,711,0,284,481,379,673,0,0,0,435,586,0,0,0,441,589,0,0,0,582,0,0,615,580,0,474,163,403,154,286,609,724,0,154,666,0,410,568,0,0,0,0,69,142,60,456,349,503,366,637,595,0,0,384,68,0,548,117,537,499,0,0,0,96,148,75,519,451,691,0,0,0,111,478,520,593,130,219,543,0,0,0,375,0,0,9,669,643,0,459,571,0,0,0,438,583,0,0,0,417,550,0,0,0,0,447,628,0,0,60,196,159,657,703,0,298,83,0,340,627,0,357,4,384,0,0,0,582,587,309,481,265,692,22,0,264,427,227,626,0,0,0,436,145,188,0,513,643,0,141,64,171,466,622,265,513,0,498,625,0,0,429,619,0,0,500,0,584,0,668,0,231,668,45,273,525,0,0,0,711,0,118,432,457,616,663,0,709,511,239,4,0,602,0,0,105,12,250,341,530,676,0,0,396,559,0,0,0,0,312,244,235,242,0,657,0,590,0,0,0,336,0,0,0,244,610,286,553,643,208,559,421,682,0,0,0,195,713,144,696,0,0,3,729,0,0,0,712,709,0,617,336,547,352,513,0,411,484,649,0,0,0,0,0,0,0,202,526,181,166,597,649,0,147,586,394,409,391,721,0,0,333,451,598,427,0,0,0,27,573,508,0,0,0,597,0,0,126,62,0,39,519,433,655,0,0,0,0,42,714,0,386,520,637,716,460,19,576,595,0,680,0,3,327,322,701,294,1,297,76,525,523,0,0,0,288,220,559,430,703,0,0,0,124,699,0,204,106,339,181,376,581,579,649,0,57,645,631,0,243,343,629,81,411,336,0,504,187,440,356,709,0,4,0,366,367,412,521,303,382,109,298,630,0,0,0,184,547,487,0,0,0,351,436,475,295,436,289,307,131,194,139,567,598,0,638,0,249,472,121,520,478,478,367,257,366,141,655,0,0,565,159,705,0,152,557,692,0,0,42,184,14,302,369,709,490,717,0,154,603,0,0,0,286,684,0,303,551,333,298,36,271,433,292,457,313,340,283,164,0,458,519,73,454,112,165,382,58,12,276,42,373,0,0,0,0,729,0,357,374,108,564,535,0,0,0,429,0,476,703,0,655,267,627,0,566,0,0,303,593,585,658,0,159,694,217,286,430,77,0,124,465,511,0,0,0,0,129,718,232,589,301,611,279,4,291,719,258,708,0,638,0,306,500,192,460,646,298,571,685,0,0,0,0,0,0,75,214,78,510,439,658,0,0,0,0,285,382,21,625,0,480,601,0,0,411,319,637,334,472,418,0,0,0,0,495,712,0,141,586,361,503,351,707,202,444,463,640,727,0,0,0,0,0,603,0,320,469,700,535,0,291,22,1],"display_cycle":[4,26,178,548,730,730,378,565,730,730,730,730,138,54,319,565,632,244,549,631,730,441,133,215,730,654,730,542,730,730,730,339,400,709,397,676,730,730,730,303,433,262,709,604,730,207,141,508,299,441,478,403,613,706,730,730,730,730,730,730,118,711,730,519,154,373,569,620,730,698,730,596,730,572,730,8,553,442,730,730,730,615,730,314,457,157,466,139,430,408,730,730,730,636,730,578,730,730,730,442,151,601,711,730,692,730,302,730,730,730,216,109,543,556,730,730,646,420,331,358,730,364,727,730,730,675,730,204,340,717,730,264,454,311,3,177,711,730,284,481,379,673,730,730,730,435,586,730,730,730,441,589,730,730,730,582,730,730,615,580,730,474,163,403,154,286,609,724,730,154,666,730,410,568,730,730,730,730,69,142,60,456,349,503,366,637,595,730,730,384,68,730,548,117,537,499,730,730,730,96,148,75,519,451,691,730,730,730,111,478,520,593,130,219,543,730,730,730,375,730,730,9,669,643,730,459,571,730,730,730,438,583,730,730,730,417,550,730,730,730,730,447,628,730,730,60,196,159,657,703,730,298,83,730,340,627,730,357,4,384,730,730,730,582,587,309,481,265,692,22,730,264,427,227,626,730,730,730,436,145,188,730,513,643,730,141,64,171,466,622,265,513,730,498,625,730,730,429,619,730,730,500,730,584,730,668,730,231,668,45,273,525,730,730,730,711,730,118,432,457,616,663,730,709,511,239,4,730,602,730,730,105,12,250,341,530,676,730,730,396,559,730,730,730,730,312,244,235,242,730,657,730,590,730,730,730,336,730,730,730,244,610,286,553,643,208,559,421,682,730,730,730,195,713,144,696,730,730,3,729,730,730,730,712,709,730,617,336,547,352,513,730,411,484,649,730,730,730,730,730,730,730,202,526,181,166,597,649,730,147,586,394,409,391,721,730,730,333,451,598,427,730,730,730,27,573,508,730,730,730,597,730,730,126,62,730,39,519,433,655,730,730,730,730,42,714,730,386,520,637,716,460,19,576,595,730,680,730,3,327,322,701,294,1,297,76,525,523,730,730,730,288,220,559,430,703,730,730,730,124,699,730,204,106,339,181,376,581,579,649,730,57,645,631,730,243,343,629,81,411,336,730,504,187,440,356,709,730,4,730,366,367,412,521,303,382,109,298,630,730,730,730,184,547,487,730,730,730,351,436,475,295,436,289,307,131,194,139,567,598,730,638,730,249,472,121,520,478,478,367,257,366,141,655,730,730,565,159,705,730,152,557,692,730,730,42,184,14,302,369,709,490,717,730,154,603,730,730,730,286,684,730,303,551,333,298,36,271,433,292,457,313,340,283,164,730,458,519,73,454,112,165,382,58,12,276,42,373,730,730,730,730,729,730,357,374,108,564,535,730,730,730,429,730,476,703,730,655,267,627,730,566,730,730,303,593,585,658,730,159,694,217,286,430,77,730,124,465,511,730,730,730,730,129,718,232,589,301,611,279,4,291,719,258,708,730,638,730,306,500,192,460,646,298,571,685,730,730,730,730,730,730,75,214,78,510,439,658,730,730,730,730,285,382,21,625,730,480,601,730,730,411,319,637,334,472,418,730,730,730,730,495,712,730,141,586,361,503,351,707,202,444,463,640,727,730,730,730,730,730,603,730,320,469,700,535,730,291,22,1],"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":19,"interior_indices":[13,14,15,16,17,18],"interior_values":[233,377,610,257,137,394],"sum":2008,"residue":548},{"from_index":19,"to_index":20,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":20,"to_index":21,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":21,"to_index":24,"interior_indices":[22,23],"interior_values":[191,187],"sum":378,"residue":378},{"from_index":24,"to_index":26,"interior_indices":[25],"interior_values":[565],"sum":565,"residue":565},{"from_index":26,"to_index":27,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":27,"to_index":28,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":28,"to_index":29,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":29,"to_index":30,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":30,"to_index":33,"interior_indices":[31,32],"interior_values":[149,719],"sum":868,"residue":138},{"from_index":33,"to_index":37,"interior_indices":[34,35,36],"interior_values":[127,265,392],"sum":784,"residue":54},{"from_index":37,"to_index":39,"interior_indices":[38],"interior_values":[319],"sum":319,"residue":319},{"from_index":39,"to_index":41,"interior_indices":[40],"interior_values":[565],"sum":565,"residue":565},{"from_index":41,"to_index":51,"interior_indices":[42,43,44,45,46,47,48,49,50],"interior_values":[646,727,643,640,553,463,286,19,305],"sum":4282,"residue":632},{"from_index":51,"to_index":55,"interior_indices":[52,53,54],"interior_values":[629,223,122],"sum":974,"residue":244},{"from_index":55,"to_index":58,"interior_indices":[56,57],"interior_values":[467,82],"sum":549,"residue":549},{"from_index":58,"to_index":60,"interior_indices":[59],"interior_values":[631],"sum":631,"residue":631},{"from_index":60,"to_index":61,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":61,"to_index":66,"interior_indices":[62,63,64,65],"interior_values":[71,422,493,185],"sum":1171,"residue":441},{"from_index":66,"to_index":68,"interior_indices":[67],"interior_values":[133],"sum":133,"residue":133},{"from_index":68,"to_index":74,"interior_indices":[69,70,71,72,73],"interior_values":[214,295,509,74,583],"sum":1675,"residue":215},{"from_index":74,"to_index":75,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":75,"to_index":78,"interior_indices":[76,77],"interior_values":[437,217],"sum":654,"residue":654},{"from_index":78,"to_index":79,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":79,"to_index":83,"interior_indices":[80,81,82],"interior_values":[65,206,271],"sum":542,"residue":542},{"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":86,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":86,"to_index":89,"interior_indices":[87,88],"interior_values":[278,61],"sum":339,"residue":339},{"from_index":89,"to_index":91,"interior_indices":[90],"interior_values":[400],"sum":400,"residue":400},{"from_index":91,"to_index":96,"interior_indices":[92,93,94,95],"interior_values":[409,418,97,515],"sum":1439,"residue":709},{"from_index":96,"to_index":98,"interior_indices":[97],"interior_values":[397],"sum":397,"residue":397},{"from_index":98,"to_index":100,"interior_indices":[99],"interior_values":[676],"sum":676,"residue":676},{"from_index":100,"to_index":101,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":101,"to_index":102,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":102,"to_index":103,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":103,"to_index":106,"interior_indices":[104,105],"interior_values":[233,70],"sum":303,"residue":303},{"from_index":106,"to_index":117,"interior_indices":[107,108,109,110,111,112,113,114,115,116],"interior_values":[373,676,319,265,584,119,703,92,65,157],"sum":3353,"residue":433},{"from_index":117,"to_index":123,"interior_indices":[118,119,120,121,122],"interior_values":[379,601,250,121,371],"sum":1722,"residue":262},{"from_index":123,"to_index":128,"interior_indices":[124,125,126,127],"interior_values":[133,625,28,653],"sum":1439,"residue":709},{"from_index":128,"to_index":130,"interior_indices":[129],"interior_values":[604],"sum":604,"residue":604},{"from_index":130,"to_index":131,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":131,"to_index":134,"interior_indices":[132,133],"interior_values":[254,683],"sum":937,"residue":207},{"from_index":134,"to_index":143,"interior_indices":[135,136,137,138,139,140,141,142],"interior_values":[160,367,527,164,691,125,86,211],"sum":2331,"residue":141},{"from_index":143,"to_index":145,"interior_indices":[144],"interior_values":[508],"sum":508,"residue":508},{"from_index":145,"to_index":153,"interior_indices":[146,147,148,149,150,151,152],"interior_values":[583,658,511,439,220,659,149],"sum":3219,"residue":299},{"from_index":153,"to_index":158,"interior_indices":[154,155,156,157],"interior_values":[227,305,532,107],"sum":1171,"residue":441},{"from_index":158,"to_index":163,"interior_indices":[159,160,161,162],"interior_values":[16,655,671,596],"sum":1938,"residue":478},{"from_index":163,"to_index":165,"interior_indices":[164],"interior_values":[403],"sum":403,"residue":403},{"from_index":165,"to_index":167,"interior_indices":[166],"interior_values":[613],"sum":613,"residue":613},{"from_index":167,"to_index":169,"interior_indices":[168],"interior_values":[706],"sum":706,"residue":706},{"from_index":169,"to_index":170,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":170,"to_index":171,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":171,"to_index":172,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":172,"to_index":173,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":173,"to_index":174,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":174,"to_index":175,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":175,"to_index":179,"interior_indices":[176,177,178],"interior_values":[407,382,59],"sum":848,"residue":118},{"from_index":179,"to_index":182,"interior_indices":[180,181],"interior_values":[500,211],"sum":711,"residue":711},{"from_index":182,"to_index":183,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":183,"to_index":188,"interior_indices":[184,185,186,187],"interior_values":[173,365,538,173],"sum":1249,"residue":519},{"from_index":188,"to_index":190,"interior_indices":[189],"interior_values":[154],"sum":154,"residue":154},{"from_index":190,"to_index":195,"interior_indices":[191,192,193,194],"interior_values":[289,424,713,407],"sum":1833,"residue":373},{"from_index":195,"to_index":200,"interior_indices":[196,197,198,199],"interior_values":[67,457,524,251],"sum":1299,"residue":569},{"from_index":200,"to_index":207,"interior_indices":[201,202,203,204,205,206],"interior_values":[296,341,637,248,155,403],"sum":2080,"residue":620},{"from_index":207,"to_index":208,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":208,"to_index":212,"interior_indices":[209,210,211],"interior_values":[59,290,349],"sum":698,"residue":698},{"from_index":212,"to_index":213,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":213,"to_index":220,"interior_indices":[214,215,216,217,218,219],"interior_values":[167,425,592,287,149,436],"sum":2056,"residue":596},{"from_index":220,"to_index":221,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":221,"to_index":228,"interior_indices":[222,223,224,225,226,227],"interior_values":[146,437,583,290,143,433],"sum":2032,"residue":572},{"from_index":228,"to_index":229,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":229,"to_index":236,"interior_indices":[230,231,232,233,234,235],"interior_values":[125,404,529,203,2,205],"sum":1468,"residue":8},{"from_index":236,"to_index":242,"interior_indices":[237,238,239,240,241],"interior_values":[412,619,301,190,491],"sum":2013,"residue":553},{"from_index":242,"to_index":244,"interior_indices":[243],"interior_values":[442],"sum":442,"residue":442},{"from_index":244,"to_index":245,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":245,"to_index":246,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":246,"to_index":247,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":247,"to_index":250,"interior_indices":[248,249],"interior_values":[371,244],"sum":615,"residue":615},{"from_index":250,"to_index":251,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":251,"to_index":255,"interior_indices":[252,253,254],"interior_values":[14,143,157],"sum":314,"residue":314},{"from_index":255,"to_index":257,"interior_indices":[256],"interior_values":[457],"sum":457,"residue":457},{"from_index":257,"to_index":263,"interior_indices":[258,259,260,261,262],"interior_values":[484,511,265,46,311],"sum":1617,"residue":157},{"from_index":263,"to_index":267,"interior_indices":[264,265,266],"interior_values":[668,295,233],"sum":1196,"residue":466},{"from_index":267,"to_index":272,"interior_indices":[268,269,270,271],"interior_values":[31,559,590,419],"sum":1599,"residue":139},{"from_index":272,"to_index":276,"interior_indices":[273,274,275],"interior_values":[698,247,215],"sum":1160,"residue":430},{"from_index":276,"to_index":282,"interior_indices":[277,278,279,280,281],"interior_values":[677,409,356,35,391],"sum":1868,"residue":408},{"from_index":282,"to_index":283,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":283,"to_index":284,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":284,"to_index":285,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":285,"to_index":288,"interior_indices":[286,287],"interior_values":[383,253],"sum":636,"residue":636},{"from_index":288,"to_index":289,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":289,"to_index":293,"interior_indices":[290,291,292],"interior_values":[65,224,289],"sum":578,"residue":578},{"from_index":293,"to_index":294,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":294,"to_index":295,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":295,"to_index":296,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":296,"to_index":300,"interior_indices":[297,298,299],"interior_values":[512,439,221],"sum":1172,"residue":442},{"from_index":300,"to_index":302,"interior_indices":[301],"interior_values":[151],"sum":151,"residue":151},{"from_index":302,"to_index":311,"interior_indices":[303,304,305,306,307,308,309,310],"interior_values":[232,313,545,128,673,71,14,85],"sum":2061,"residue":601},{"from_index":311,"to_index":317,"interior_indices":[312,313,314,315,316],"interior_values":[184,283,467,20,487],"sum":1441,"residue":711},{"from_index":317,"to_index":318,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":318,"to_index":322,"interior_indices":[319,320,321],"interior_values":[41,305,346],"sum":692,"residue":692},{"from_index":322,"to_index":323,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":323,"to_index":333,"interior_indices":[324,325,326,327,328,329,330,331,332],"interior_values":[188,455,643,368,281,649,200,119,319],"sum":3222,"residue":302},{"from_index":333,"to_index":334,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":334,"to_index":335,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":335,"to_index":336,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":336,"to_index":339,"interior_indices":[337,338],"interior_values":[227,719],"sum":946,"residue":216},{"from_index":339,"to_index":344,"interior_indices":[340,341,342,343],"interior_values":[205,421,626,317],"sum":1569,"residue":109},{"from_index":344,"to_index":347,"interior_indices":[345,346],"interior_values":[530,13],"sum":543,"residue":543},{"from_index":347,"to_index":349,"interior_indices":[348],"interior_values":[556],"sum":556,"residue":556},{"from_index":349,"to_index":350,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":350,"to_index":351,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":351,"to_index":357,"interior_indices":[352,353,354,355,356],"interior_values":[29,593,622,485,377],"sum":2106,"residue":646},{"from_index":357,"to_index":360,"interior_indices":[358,359],"interior_values":[509,641],"sum":1150,"residue":420},{"from_index":360,"to_index":362,"interior_indices":[361],"interior_values":[331],"sum":331,"residue":331},{"from_index":362,"to_index":367,"interior_indices":[363,364,365,366],"interior_values":[352,373,725,368],"sum":1818,"residue":358},{"from_index":367,"to_index":371,"interior_indices":[368,369,370],"interior_values":[1,364,365],"sum":730,"residue":0},{"from_index":371,"to_index":373,"interior_indices":[372],"interior_values":[364],"sum":364,"residue":364},{"from_index":373,"to_index":375,"interior_indices":[374],"interior_values":[727],"sum":727,"residue":727},{"from_index":375,"to_index":376,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":376,"to_index":377,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":377,"to_index":380,"interior_indices":[378,379],"interior_values":[344,331],"sum":675,"residue":675},{"from_index":380,"to_index":381,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":381,"to_index":387,"interior_indices":[382,383,384,385,386],"interior_values":[221,497,718,485,473],"sum":2394,"residue":204},{"from_index":387,"to_index":391,"interior_indices":[388,389,390],"interior_values":[701,199,170],"sum":1070,"residue":340},{"from_index":391,"to_index":394,"interior_indices":[392,393],"interior_values":[539,178],"sum":717,"residue":717},{"from_index":394,"to_index":395,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":395,"to_index":400,"interior_indices":[396,397,398,399],"interior_values":[152,317,469,56],"sum":994,"residue":264},{"from_index":400,"to_index":404,"interior_indices":[401,402,403],"interior_values":[581,376,227],"sum":1184,"residue":454},{"from_index":404,"to_index":410,"interior_indices":[405,406,407,408,409],"interior_values":[100,703,73,46,119],"sum":1041,"residue":311},{"from_index":410,"to_index":413,"interior_indices":[411,412],"interior_values":[284,449],"sum":733,"residue":3},{"from_index":413,"to_index":416,"interior_indices":[414,415],"interior_values":[452,455],"sum":907,"residue":177},{"from_index":416,"to_index":419,"interior_indices":[417,418],"interior_values":[632,79],"sum":711,"residue":711},{"from_index":419,"to_index":420,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":420,"to_index":424,"interior_indices":[421,422,423],"interior_values":[41,101,142],"sum":284,"residue":284},{"from_index":424,"to_index":430,"interior_indices":[425,426,427,428,429],"interior_values":[385,628,283,181,464],"sum":1941,"residue":481},{"from_index":430,"to_index":432,"interior_indices":[431],"interior_values":[379],"sum":379,"residue":379},{"from_index":432,"to_index":434,"interior_indices":[433],"interior_values":[673],"sum":673,"residue":673},{"from_index":434,"to_index":435,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":435,"to_index":436,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":436,"to_index":437,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":437,"to_index":440,"interior_indices":[438,439],"interior_values":[284,151],"sum":435,"residue":435},{"from_index":440,"to_index":442,"interior_indices":[441],"interior_values":[586],"sum":586,"residue":586},{"from_index":442,"to_index":443,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":443,"to_index":444,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":444,"to_index":445,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":445,"to_index":448,"interior_indices":[446,447],"interior_values":[293,148],"sum":441,"residue":441},{"from_index":448,"to_index":450,"interior_indices":[449],"interior_values":[589],"sum":589,"residue":589},{"from_index":450,"to_index":451,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":451,"to_index":452,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":452,"to_index":453,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":453,"to_index":456,"interior_indices":[454,455],"interior_values":[347,235],"sum":582,"residue":582},{"from_index":456,"to_index":457,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":457,"to_index":458,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":458,"to_index":464,"interior_indices":[459,460,461,462,463],"interior_values":[26,695,721,686,677],"sum":2805,"residue":615},{"from_index":464,"to_index":466,"interior_indices":[465],"interior_values":[580],"sum":580,"residue":580},{"from_index":466,"to_index":467,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":467,"to_index":472,"interior_indices":[468,469,470,471],"interior_values":[86,419,505,194],"sum":1204,"residue":474},{"from_index":472,"to_index":474,"interior_indices":[473],"interior_values":[163],"sum":163,"residue":163},{"from_index":474,"to_index":479,"interior_indices":[475,476,477,478],"interior_values":[295,427,722,419],"sum":1863,"residue":403},{"from_index":479,"to_index":484,"interior_indices":[480,481,482,483],"interior_values":[100,511,611,392],"sum":1614,"residue":154},{"from_index":484,"to_index":488,"interior_indices":[485,486,487],"interior_values":[665,208,143],"sum":1016,"residue":286},{"from_index":488,"to_index":491,"interior_indices":[489,490],"interior_values":[494,115],"sum":609,"residue":609},{"from_index":491,"to_index":493,"interior_indices":[492],"interior_values":[724],"sum":724,"residue":724},{"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":[470,337,77],"sum":884,"residue":154},{"from_index":498,"to_index":501,"interior_indices":[499,500],"interior_values":[491,175],"sum":666,"residue":666},{"from_index":501,"to_index":502,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":502,"to_index":506,"interior_indices":[503,504,505],"interior_values":[47,158,205],"sum":410,"residue":410},{"from_index":506,"to_index":508,"interior_indices":[507],"interior_values":[568],"sum":568,"residue":568},{"from_index":508,"to_index":509,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":509,"to_index":510,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":510,"to_index":511,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":511,"to_index":512,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":512,"to_index":518,"interior_indices":[513,514,515,516,517],"interior_values":[68,587,655,512,437],"sum":2259,"residue":69},{"from_index":518,"to_index":522,"interior_indices":[519,520,521],"interior_values":[656,145,71],"sum":872,"residue":142},{"from_index":522,"to_index":525,"interior_indices":[523,524],"interior_values":[287,503],"sum":790,"residue":60},{"from_index":525,"to_index":528,"interior_indices":[526,527],"interior_values":[563,623],"sum":1186,"residue":456},{"from_index":528,"to_index":530,"interior_indices":[529],"interior_values":[349],"sum":349,"residue":349},{"from_index":530,"to_index":536,"interior_indices":[531,532,533,534,535],"interior_values":[424,499,193,692,155],"sum":1963,"residue":503},{"from_index":536,"to_index":544,"interior_indices":[537,538,539,540,541,542,543],"interior_values":[272,389,661,320,251,571,92],"sum":2556,"residue":366},{"from_index":544,"to_index":549,"interior_indices":[545,546,547,548],"interior_values":[25,688,713,671],"sum":2097,"residue":637},{"from_index":549,"to_index":551,"interior_indices":[550],"interior_values":[595],"sum":595,"residue":595},{"from_index":551,"to_index":552,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":552,"to_index":555,"interior_indices":[553,554],"interior_values":[173,557],"sum":730,"residue":0},{"from_index":555,"to_index":558,"interior_indices":[556,557],"interior_values":[557,557],"sum":1114,"residue":384},{"from_index":558,"to_index":565,"interior_indices":[559,560,561,562,563,564],"interior_values":[211,595,76,671,17,688],"sum":2258,"residue":68},{"from_index":565,"to_index":566,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":566,"to_index":571,"interior_indices":[567,568,569,570],"interior_values":[638,571,479,320],"sum":2008,"residue":548},{"from_index":571,"to_index":574,"interior_indices":[572,573],"interior_values":[389,458],"sum":847,"residue":117},{"from_index":574,"to_index":577,"interior_indices":[575,576],"interior_values":[575,692],"sum":1267,"residue":537},{"from_index":577,"to_index":579,"interior_indices":[578],"interior_values":[499],"sum":499,"residue":499},{"from_index":579,"to_index":580,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":580,"to_index":581,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":581,"to_index":582,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":582,"to_index":588,"interior_indices":[583,584,585,586,587],"interior_values":[107,563,670,503,443],"sum":2286,"residue":96},{"from_index":588,"to_index":592,"interior_indices":[589,590,591],"interior_values":[659,145,74],"sum":878,"residue":148},{"from_index":592,"to_index":595,"interior_indices":[593,594],"interior_values":[293,512],"sum":805,"residue":75},{"from_index":595,"to_index":598,"interior_indices":[596,597],"interior_values":[587,662],"sum":1249,"residue":519},{"from_index":598,"to_index":600,"interior_indices":[599],"interior_values":[451],"sum":451,"residue":451},{"from_index":600,"to_index":602,"interior_indices":[601],"interior_values":[691],"sum":691,"residue":691},{"from_index":602,"to_index":603,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":603,"to_index":604,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":604,"to_index":605,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":605,"to_index":608,"interior_indices":[606,607],"interior_values":[158,683],"sum":841,"residue":111},{"from_index":608,"to_index":612,"interior_indices":[609,610,611],"interior_values":[64,175,239],"sum":478,"residue":478},{"from_index":612,"to_index":616,"interior_indices":[613,614,615],"interior_values":[653,337,260],"sum":1250,"residue":520},{"from_index":616,"to_index":622,"interior_indices":[617,618,619,620,621],"interior_values":[127,724,121,115,236],"sum":1323,"residue":593},{"from_index":622,"to_index":626,"interior_indices":[623,624,625],"interior_values":[587,208,65],"sum":860,"residue":130},{"from_index":626,"to_index":629,"interior_indices":[627,628],"interior_values":[338,611],"sum":949,"residue":219},{"from_index":629,"to_index":635,"interior_indices":[630,631,632,633,634],"interior_values":[100,319,419,8,427],"sum":1273,"residue":543},{"from_index":635,"to_index":636,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":636,"to_index":637,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":637,"to_index":638,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":638,"to_index":644,"interior_indices":[639,640,641,642,643],"interior_values":[536,505,311,86,397],"sum":1835,"residue":375},{"from_index":644,"to_index":645,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":645,"to_index":646,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":646,"to_index":649,"interior_indices":[647,648],"interior_values":[53,686],"sum":739,"residue":9},{"from_index":649,"to_index":652,"interior_indices":[650,651],"interior_values":[695,704],"sum":1399,"residue":669},{"from_index":652,"to_index":654,"interior_indices":[653],"interior_values":[643],"sum":643,"residue":643},{"from_index":654,"to_index":655,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":655,"to_index":658,"interior_indices":[656,657],"interior_values":[347,112],"sum":459,"residue":459},{"from_index":658,"to_index":660,"interior_indices":[659],"interior_values":[571],"sum":571,"residue":571},{"from_index":660,"to_index":661,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":661,"to_index":662,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":662,"to_index":663,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":663,"to_index":666,"interior_indices":[664,665],"interior_values":[293,145],"sum":438,"residue":438},{"from_index":666,"to_index":668,"interior_indices":[667],"interior_values":[583],"sum":583,"residue":583},{"from_index":668,"to_index":669,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":669,"to_index":670,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":670,"to_index":671,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":671,"to_index":674,"interior_indices":[672,673],"interior_values":[284,133],"sum":417,"residue":417},{"from_index":674,"to_index":676,"interior_indices":[675],"interior_values":[550],"sum":550,"residue":550},{"from_index":676,"to_index":677,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":677,"to_index":678,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":678,"to_index":679,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":679,"to_index":680,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":680,"to_index":683,"interior_indices":[681,682],"interior_values":[266,181],"sum":447,"residue":447},{"from_index":683,"to_index":685,"interior_indices":[684],"interior_values":[628],"sum":628,"residue":628},{"from_index":685,"to_index":686,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":686,"to_index":687,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":687,"to_index":690,"interior_indices":[688,689],"interior_values":[101,689],"sum":790,"residue":60},{"from_index":690,"to_index":694,"interior_indices":[691,692,693],"interior_values":[19,79,98],"sum":196,"residue":196},{"from_index":694,"to_index":700,"interior_indices":[695,696,697,698,699],"interior_values":[275,452,727,449,446],"sum":2349,"residue":159},{"from_index":700,"to_index":703,"interior_indices":[701,702],"interior_values":[611,46],"sum":657,"residue":657},{"from_index":703,"to_index":705,"interior_indices":[704],"interior_values":[703],"sum":703,"residue":703},{"from_index":705,"to_index":706,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":706,"to_index":710,"interior_indices":[707,708,709],"interior_values":[503,376,149],"sum":1028,"residue":298},{"from_index":710,"to_index":716,"interior_indices":[711,712,713,714,715],"interior_values":[674,469,413,152,565],"sum":2273,"residue":83},{"from_index":716,"to_index":717,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":717,"to_index":721,"interior_indices":[718,719,720],"interior_values":[539,361,170],"sum":1070,"residue":340},{"from_index":721,"to_index":730,"interior_indices":[722,723,724,725,726,727,728,729],"interior_values":[701,502,473,245,718,233,221,454],"sum":3547,"residue":627},{"from_index":730,"to_index":731,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":731,"to_index":734,"interior_indices":[732,733],"interior_values":[344,13],"sum":357,"residue":357},{"from_index":734,"to_index":741,"interior_indices":[735,736,737,738,739,740],"interior_values":[370,727,367,364,1,365],"sum":2194,"residue":4},{"from_index":741,"to_index":747,"interior_indices":[742,743,744,745,746],"interior_values":[1,367,368,5,373],"sum":1114,"residue":384},{"from_index":747,"to_index":748,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":748,"to_index":749,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":749,"to_index":750,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":750,"to_index":760,"interior_indices":[751,752,753,754,755,756,757,758,759],"interior_values":[89,509,598,377,245,622,137,29,166],"sum":2772,"residue":582},{"from_index":760,"to_index":766,"interior_indices":[761,762,763,764,765],"interior_values":[361,556,187,13,200],"sum":1317,"residue":587},{"from_index":766,"to_index":769,"interior_indices":[767,768],"interior_values":[413,626],"sum":1039,"residue":309},{"from_index":769,"to_index":774,"interior_indices":[770,771,772,773],"interior_values":[205,514,719,503],"sum":1941,"residue":481},{"from_index":774,"to_index":776,"interior_indices":[775],"interior_values":[265],"sum":265,"residue":265},{"from_index":776,"to_index":781,"interior_indices":[777,778,779,780],"interior_values":[292,319,611,200],"sum":1422,"residue":692},{"from_index":781,"to_index":788,"interior_indices":[782,783,784,785,786,787],"interior_values":[281,362,643,275,188,463],"sum":2212,"residue":22},{"from_index":788,"to_index":789,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":789,"to_index":792,"interior_indices":[790,791],"interior_values":[305,689],"sum":994,"residue":264},{"from_index":792,"to_index":797,"interior_indices":[793,794,795,796],"interior_values":[223,487,710,467],"sum":1887,"residue":427},{"from_index":797,"to_index":803,"interior_indices":[798,799,800,801,802],"interior_values":[184,631,85,716,71],"sum":1687,"residue":227},{"from_index":803,"to_index":807,"interior_indices":[804,805,806],"interior_values":[128,185,313],"sum":626,"residue":626},{"from_index":807,"to_index":808,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":808,"to_index":809,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":809,"to_index":810,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":810,"to_index":814,"interior_indices":[811,812,813],"interior_values":[509,439,218],"sum":1166,"residue":436},{"from_index":814,"to_index":816,"interior_indices":[815],"interior_values":[145],"sum":145,"residue":145},{"from_index":816,"to_index":822,"interior_indices":[817,818,819,820,821],"interior_values":[217,289,506,65,571],"sum":1648,"residue":188},{"from_index":822,"to_index":823,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":823,"to_index":826,"interior_indices":[824,825],"interior_values":[383,130],"sum":513,"residue":513},{"from_index":826,"to_index":828,"interior_indices":[827],"interior_values":[643],"sum":643,"residue":643},{"from_index":828,"to_index":829,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":829,"to_index":834,"interior_indices":[830,831,832,833],"interior_values":[35,374,409,53],"sum":871,"residue":141},{"from_index":834,"to_index":838,"interior_indices":[835,836,837],"interior_values":[515,247,32],"sum":794,"residue":64},{"from_index":838,"to_index":841,"interior_indices":[839,840],"interior_values":[311,590],"sum":901,"residue":171},{"from_index":841,"to_index":845,"interior_indices":[842,843,844],"interior_values":[31,202,233],"sum":466,"residue":466},{"from_index":845,"to_index":849,"interior_indices":[846,847,848],"interior_values":[668,373,311],"sum":1352,"residue":622},{"from_index":849,"to_index":851,"interior_indices":[850],"interior_values":[265],"sum":265,"residue":265},{"from_index":851,"to_index":860,"interior_indices":[852,853,854,855,856,857,858,859],"interior_values":[484,703,457,430,157,587,14,601],"sum":3433,"residue":513},{"from_index":860,"to_index":861,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":861,"to_index":864,"interior_indices":[862,863],"interior_values":[371,127],"sum":498,"residue":498},{"from_index":864,"to_index":866,"interior_indices":[865],"interior_values":[625],"sum":625,"residue":625},{"from_index":866,"to_index":867,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":867,"to_index":868,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":868,"to_index":871,"interior_indices":[869,870],"interior_values":[239,190],"sum":429,"residue":429},{"from_index":871,"to_index":873,"interior_indices":[872],"interior_values":[619],"sum":619,"residue":619},{"from_index":873,"to_index":874,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":874,"to_index":875,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":875,"to_index":882,"interior_indices":[876,877,878,879,880,881],"interior_values":[2,527,529,326,125,451],"sum":1960,"residue":500},{"from_index":882,"to_index":883,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":883,"to_index":890,"interior_indices":[884,885,886,887,888,889],"interior_values":[143,440,583,293,146,439],"sum":2044,"residue":584},{"from_index":890,"to_index":891,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":891,"to_index":898,"interior_indices":[892,893,894,895,896,897],"interior_values":[149,443,592,305,167,472],"sum":2128,"residue":668},{"from_index":898,"to_index":899,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":899,"to_index":902,"interior_indices":[900,901],"interior_values":[290,671],"sum":961,"residue":231},{"from_index":902,"to_index":907,"interior_indices":[903,904,905,906],"interior_values":[172,403,575,248],"sum":1398,"residue":668},{"from_index":907,"to_index":910,"interior_indices":[908,909],"interior_values":[341,434],"sum":775,"residue":45},{"from_index":910,"to_index":913,"interior_indices":[911,912],"interior_values":[479,524],"sum":1003,"residue":273},{"from_index":913,"to_index":919,"interior_indices":[914,915,916,917,918],"interior_values":[67,340,407,17,424],"sum":1255,"residue":525},{"from_index":919,"to_index":920,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":920,"to_index":921,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":921,"to_index":922,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":922,"to_index":928,"interior_indices":[923,924,925,926,927],"interior_values":[557,538,365,173,538],"sum":2171,"residue":711},{"from_index":928,"to_index":929,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":929,"to_index":933,"interior_indices":[930,931,932],"interior_values":[500,289,59],"sum":848,"residue":118},{"from_index":933,"to_index":936,"interior_indices":[934,935],"interior_values":[407,25],"sum":432,"residue":432},{"from_index":936,"to_index":938,"interior_indices":[937],"interior_values":[457],"sum":457,"residue":457},{"from_index":938,"to_index":940,"interior_indices":[939],"interior_values":[616],"sum":616,"residue":616},{"from_index":940,"to_index":951,"interior_indices":[941,942,943,944,945,946,947,948,949,950],"interior_values":[661,706,637,613,520,403,193,596,59,655],"sum":5043,"residue":663},{"from_index":951,"to_index":952,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":952,"to_index":961,"interior_indices":[953,954,955,956,957,958,959,960],"interior_values":[623,532,425,227,652,149,71,220],"sum":2899,"residue":709},{"from_index":961,"to_index":963,"interior_indices":[962],"interior_values":[511],"sum":511,"residue":511},{"from_index":963,"to_index":971,"interior_indices":[964,965,966,967,968,969,970],"interior_values":[583,655,508,433,211,644,125],"sum":3159,"residue":239},{"from_index":971,"to_index":975,"interior_indices":[972,973,974],"interior_values":[164,203,367],"sum":734,"residue":4},{"from_index":975,"to_index":976,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":976,"to_index":980,"interior_indices":[977,978,979],"interior_values":[47,254,301],"sum":602,"residue":602},{"from_index":980,"to_index":981,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":981,"to_index":982,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":982,"to_index":985,"interior_indices":[983,984],"interior_values":[77,28],"sum":105,"residue":105},{"from_index":985,"to_index":989,"interior_indices":[986,987,988],"interior_values":[133,238,371],"sum":742,"residue":12},{"from_index":989,"to_index":991,"interior_indices":[990],"interior_values":[250],"sum":250,"residue":250},{"from_index":991,"to_index":997,"interior_indices":[992,993,994,995,996],"interior_values":[379,508,157,665,92],"sum":1801,"residue":341},{"from_index":997,"to_index":1001,"interior_indices":[998,999,1000],"interior_values":[119,146,265],"sum":530,"residue":530},{"from_index":1001,"to_index":1003,"interior_indices":[1002],"interior_values":[676],"sum":676,"residue":676},{"from_index":1003,"to_index":1004,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1004,"to_index":1005,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1005,"to_index":1008,"interior_indices":[1006,1007],"interior_values":[233,163],"sum":396,"residue":396},{"from_index":1008,"to_index":1010,"interior_indices":[1009],"interior_values":[559],"sum":559,"residue":559},{"from_index":1010,"to_index":1011,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1011,"to_index":1012,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1012,"to_index":1013,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1013,"to_index":1014,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1014,"to_index":1017,"interior_indices":[1015,1016],"interior_values":[215,97],"sum":312,"residue":312},{"from_index":1017,"to_index":1024,"interior_indices":[1018,1019,1020,1021,1022,1023],"interior_values":[409,721,400,391,61,452],"sum":2434,"residue":244},{"from_index":1024,"to_index":1026,"interior_indices":[1025],"interior_values":[235],"sum":235,"residue":235},{"from_index":1026,"to_index":1032,"interior_indices":[1027,1028,1029,1030,1031],"interior_values":[253,271,524,65,589],"sum":1702,"residue":242},{"from_index":1032,"to_index":1033,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1033,"to_index":1036,"interior_indices":[1034,1035],"interior_values":[437,220],"sum":657,"residue":657},{"from_index":1036,"to_index":1037,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1037,"to_index":1041,"interior_indices":[1038,1039,1040],"interior_values":[74,221,295],"sum":590,"residue":590},{"from_index":1041,"to_index":1042,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1042,"to_index":1043,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1043,"to_index":1044,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1044,"to_index":1050,"interior_indices":[1045,1046,1047,1048,1049],"interior_values":[545,493,308,71,379],"sum":1796,"residue":336},{"from_index":1050,"to_index":1051,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1051,"to_index":1052,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1052,"to_index":1053,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1053,"to_index":1057,"interior_indices":[1054,1055,1056],"interior_values":[467,385,122],"sum":974,"residue":244},{"from_index":1057,"to_index":1061,"interior_indices":[1058,1059,1060],"interior_values":[629,406,305],"sum":1340,"residue":610},{"from_index":1061,"to_index":1063,"interior_indices":[1062],"interior_values":[286],"sum":286,"residue":286},{"from_index":1063,"to_index":1065,"interior_indices":[1064],"interior_values":[553],"sum":553,"residue":553},{"from_index":1065,"to_index":1067,"interior_indices":[1066],"interior_values":[643],"sum":643,"residue":643},{"from_index":1067,"to_index":1075,"interior_indices":[1068,1069,1070,1071,1072,1073,1074],"interior_values":[646,649,565,484,319,73,392],"sum":3128,"residue":208},{"from_index":1075,"to_index":1080,"interior_indices":[1076,1077,1078,1079],"interior_values":[127,592,719,581],"sum":2019,"residue":559},{"from_index":1080,"to_index":1082,"interior_indices":[1081],"interior_values":[421],"sum":421,"residue":421},{"from_index":1082,"to_index":1084,"interior_indices":[1083],"interior_values":[682],"sum":682,"residue":682},{"from_index":1084,"to_index":1085,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1085,"to_index":1086,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1086,"to_index":1087,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1087,"to_index":1090,"interior_indices":[1088,1089],"interior_values":[191,4],"sum":195,"residue":195},{"from_index":1090,"to_index":1095,"interior_indices":[1091,1092,1093,1094],"interior_values":[199,394,593,257],"sum":1443,"residue":713},{"from_index":1095,"to_index":1098,"interior_indices":[1096,1097],"interior_values":[377,497],"sum":874,"residue":144},{"from_index":1098,"to_index":1101,"interior_indices":[1099,1100],"interior_values":[641,55],"sum":696,"residue":696},{"from_index":1101,"to_index":1102,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1102,"to_index":1103,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1103,"to_index":1106,"interior_indices":[1104,1105],"interior_values":[8,725],"sum":733,"residue":3},{"from_index":1106,"to_index":1109,"interior_indices":[1107,1108],"interior_values":[728,1],"sum":729,"residue":729},{"from_index":1109,"to_index":1110,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1110,"to_index":1111,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1111,"to_index":1112,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1112,"to_index":1117,"interior_indices":[1113,1114,1115,1116],"interior_values":[728,727,725,722],"sum":2902,"residue":712},{"from_index":1117,"to_index":1119,"interior_indices":[1118],"interior_values":[709],"sum":709,"residue":709},{"from_index":1119,"to_index":1120,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1120,"to_index":1125,"interior_indices":[1121,1122,1123,1124],"interior_values":[641,586,497,353],"sum":2077,"residue":617},{"from_index":1125,"to_index":1128,"interior_indices":[1126,1127],"interior_values":[473,593],"sum":1066,"residue":336},{"from_index":1128,"to_index":1133,"interior_indices":[1129,1130,1131,1132],"interior_values":[199,535,4,539],"sum":1277,"residue":547},{"from_index":1133,"to_index":1135,"interior_indices":[1134],"interior_values":[352],"sum":352,"residue":352},{"from_index":1135,"to_index":1144,"interior_indices":[1136,1137,1138,1139,1140,1141,1142,1143],"interior_values":[517,682,469,421,160,581,11,592],"sum":3433,"residue":513},{"from_index":1144,"to_index":1145,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1145,"to_index":1148,"interior_indices":[1146,1147],"interior_values":[338,73],"sum":411,"residue":411},{"from_index":1148,"to_index":1150,"interior_indices":[1149],"interior_values":[484],"sum":484,"residue":484},{"from_index":1150,"to_index":1152,"interior_indices":[1151],"interior_values":[649],"sum":649,"residue":649},{"from_index":1152,"to_index":1153,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1153,"to_index":1154,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1154,"to_index":1155,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1155,"to_index":1156,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1156,"to_index":1157,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1157,"to_index":1158,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1158,"to_index":1159,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1159,"to_index":1163,"interior_indices":[1160,1161,1162],"interior_values":[425,406,101],"sum":932,"residue":202},{"from_index":1163,"to_index":1167,"interior_indices":[1164,1165,1166],"interior_values":[608,385,263],"sum":1256,"residue":526},{"from_index":1167,"to_index":1169,"interior_indices":[1168],"interior_values":[181],"sum":181,"residue":181},{"from_index":1169,"to_index":1174,"interior_indices":[1170,1171,1172,1173],"interior_values":[280,379,659,308],"sum":1626,"residue":166},{"from_index":1174,"to_index":1177,"interior_indices":[1175,1176],"interior_values":[545,52],"sum":597,"residue":597},{"from_index":1177,"to_index":1179,"interior_indices":[1178],"interior_values":[649],"sum":649,"residue":649},{"from_index":1179,"to_index":1180,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1180,"to_index":1183,"interior_indices":[1181,1182],"interior_values":[221,656],"sum":877,"residue":147},{"from_index":1183,"to_index":1187,"interior_indices":[1184,1185,1186],"interior_values":[73,220,293],"sum":586,"residue":586},{"from_index":1187,"to_index":1192,"interior_indices":[1188,1189,1190,1191],"interior_values":[76,589,665,524],"sum":1854,"residue":394},{"from_index":1192,"to_index":1198,"interior_indices":[1193,1194,1195,1196,1197],"interior_values":[253,712,235,217,452],"sum":1869,"residue":409},{"from_index":1198,"to_index":1200,"interior_indices":[1199],"interior_values":[391],"sum":391,"residue":391},{"from_index":1200,"to_index":1202,"interior_indices":[1201],"interior_values":[721],"sum":721,"residue":721},{"from_index":1202,"to_index":1203,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1203,"to_index":1204,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1204,"to_index":1207,"interior_indices":[1205,1206],"interior_values":[215,118],"sum":333,"residue":333},{"from_index":1207,"to_index":1209,"interior_indices":[1208],"interior_values":[451],"sum":451,"residue":451},{"from_index":1209,"to_index":1215,"interior_indices":[1210,1211,1212,1213,1214],"interior_values":[505,559,334,163,497],"sum":2058,"residue":598},{"from_index":1215,"to_index":1217,"interior_indices":[1216],"interior_values":[427],"sum":427,"residue":427},{"from_index":1217,"to_index":1218,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1218,"to_index":1219,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1219,"to_index":1220,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1220,"to_index":1223,"interior_indices":[1221,1222],"interior_values":[146,611],"sum":757,"residue":27},{"from_index":1223,"to_index":1226,"interior_indices":[1224,1225],"interior_values":[638,665],"sum":1303,"residue":573},{"from_index":1226,"to_index":1228,"interior_indices":[1227],"interior_values":[508],"sum":508,"residue":508},{"from_index":1228,"to_index":1229,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1229,"to_index":1230,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1230,"to_index":1231,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1231,"to_index":1234,"interior_indices":[1232,1233],"interior_values":[359,238],"sum":597,"residue":597},{"from_index":1234,"to_index":1235,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1235,"to_index":1236,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1236,"to_index":1239,"interior_indices":[1237,1238],"interior_values":[77,49],"sum":126,"residue":126},{"from_index":1239,"to_index":1245,"interior_indices":[1240,1241,1242,1243,1244],"interior_values":[175,301,476,47,523],"sum":1522,"residue":62},{"from_index":1245,"to_index":1246,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1246,"to_index":1249,"interior_indices":[1247,1248],"interior_values":[203,566],"sum":769,"residue":39},{"from_index":1249,"to_index":1252,"interior_indices":[1250,1251],"interior_values":[605,644],"sum":1249,"residue":519},{"from_index":1252,"to_index":1254,"interior_indices":[1253],"interior_values":[433],"sum":433,"residue":433},{"from_index":1254,"to_index":1256,"interior_indices":[1255],"interior_values":[655],"sum":655,"residue":655},{"from_index":1256,"to_index":1257,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1257,"to_index":1258,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1258,"to_index":1259,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1259,"to_index":1260,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1260,"to_index":1266,"interior_indices":[1261,1262,1263,1264,1265],"interior_values":[71,581,652,503,425],"sum":2232,"residue":42},{"from_index":1266,"to_index":1269,"interior_indices":[1267,1268],"interior_values":[623,91],"sum":714,"residue":714},{"from_index":1269,"to_index":1270,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1270,"to_index":1274,"interior_indices":[1271,1272,1273],"interior_values":[59,134,193],"sum":386,"residue":386},{"from_index":1274,"to_index":1276,"interior_indices":[1275],"interior_values":[520],"sum":520,"residue":520},{"from_index":1276,"to_index":1278,"interior_indices":[1277],"interior_values":[637],"sum":637,"residue":637},{"from_index":1278,"to_index":1287,"interior_indices":[1279,1280,1281,1282,1283,1284,1285,1286],"interior_values":[661,685,616,571,457,298,25,323],"sum":3636,"residue":716},{"from_index":1287,"to_index":1291,"interior_indices":[1288,1289,1290],"interior_values":[671,289,230],"sum":1190,"residue":460},{"from_index":1291,"to_index":1296,"interior_indices":[1292,1293,1294,1295],"interior_values":[19,538,557,365],"sum":1479,"residue":19},{"from_index":1296,"to_index":1299,"interior_indices":[1297,1298],"interior_values":[557,19],"sum":576,"residue":576},{"from_index":1299,"to_index":1301,"interior_indices":[1300],"interior_values":[595],"sum":595,"residue":595},{"from_index":1301,"to_index":1302,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1302,"to_index":1306,"interior_indices":[1303,1304,1305],"interior_values":[17,323,340],"sum":680,"residue":680},{"from_index":1306,"to_index":1307,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1307,"to_index":1313,"interior_indices":[1308,1309,1310,1311,1312],"interior_values":[206,479,685,434,389],"sum":2193,"residue":3},{"from_index":1313,"to_index":1316,"interior_indices":[1314,1315],"interior_values":[482,575],"sum":1057,"residue":327},{"from_index":1316,"to_index":1321,"interior_indices":[1317,1318,1319,1320],"interior_values":[172,499,671,440],"sum":1782,"residue":322},{"from_index":1321,"to_index":1326,"interior_indices":[1322,1323,1324,1325],"interior_values":[91,472,563,305],"sum":1431,"residue":701},{"from_index":1326,"to_index":1329,"interior_indices":[1327,1328],"interior_values":[443,581],"sum":1024,"residue":294},{"from_index":1329,"to_index":1334,"interior_indices":[1330,1331,1332,1333],"interior_values":[145,439,584,293],"sum":1461,"residue":1},{"from_index":1334,"to_index":1337,"interior_indices":[1335,1336],"interior_values":[440,587],"sum":1027,"residue":297},{"from_index":1337,"to_index":1342,"interior_indices":[1338,1339,1340,1341],"interior_values":[154,451,605,326],"sum":1536,"residue":76},{"from_index":1342,"to_index":1345,"interior_indices":[1343,1344],"interior_values":[527,728],"sum":1255,"residue":525},{"from_index":1345,"to_index":1347,"interior_indices":[1346],"interior_values":[523],"sum":523,"residue":523},{"from_index":1347,"to_index":1348,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1348,"to_index":1349,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1349,"to_index":1350,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1350,"to_index":1353,"interior_indices":[1351,1352],"interior_values":[239,49],"sum":288,"residue":288},{"from_index":1353,"to_index":1359,"interior_indices":[1354,1355,1356,1357,1358],"interior_values":[337,625,232,127,359],"sum":1680,"residue":220},{"from_index":1359,"to_index":1364,"interior_indices":[1360,1361,1362,1363],"interior_values":[115,601,716,587],"sum":2019,"residue":559},{"from_index":1364,"to_index":1366,"interior_indices":[1365],"interior_values":[430],"sum":430,"residue":430},{"from_index":1366,"to_index":1368,"interior_indices":[1367],"interior_values":[703],"sum":703,"residue":703},{"from_index":1368,"to_index":1369,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1369,"to_index":1370,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1370,"to_index":1371,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1371,"to_index":1375,"interior_indices":[1372,1373,1374],"interior_values":[419,373,62],"sum":854,"residue":124},{"from_index":1375,"to_index":1378,"interior_indices":[1376,1377],"interior_values":[497,202],"sum":699,"residue":699},{"from_index":1378,"to_index":1379,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1379,"to_index":1384,"interior_indices":[1380,1381,1382,1383],"interior_values":[140,311,451,32],"sum":934,"residue":204},{"from_index":1384,"to_index":1388,"interior_indices":[1385,1386,1387],"interior_values":[515,268,53],"sum":836,"residue":106},{"from_index":1388,"to_index":1391,"interior_indices":[1389,1390],"interior_values":[374,695],"sum":1069,"residue":339},{"from_index":1391,"to_index":1397,"interior_indices":[1392,1393,1394,1395,1396],"interior_values":[304,643,217,130,347],"sum":1641,"residue":181},{"from_index":1397,"to_index":1402,"interior_indices":[1398,1399,1400,1401],"interior_values":[94,571,665,506],"sum":1836,"residue":376},{"from_index":1402,"to_index":1408,"interior_indices":[1403,1404,1405,1406,1407],"interior_values":[217,658,145,73,218],"sum":1311,"residue":581},{"from_index":1408,"to_index":1411,"interior_indices":[1409,1410],"interior_values":[509,70],"sum":579,"residue":579},{"from_index":1411,"to_index":1413,"interior_indices":[1412],"interior_values":[649],"sum":649,"residue":649},{"from_index":1413,"to_index":1414,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1414,"to_index":1417,"interior_indices":[1415,1416],"interior_values":[185,602],"sum":787,"residue":57},{"from_index":1417,"to_index":1420,"interior_indices":[1418,1419],"interior_values":[659,716],"sum":1375,"residue":645},{"from_index":1420,"to_index":1422,"interior_indices":[1421],"interior_values":[631],"sum":631,"residue":631},{"from_index":1422,"to_index":1423,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1423,"to_index":1426,"interior_indices":[1424,1425],"interior_values":[263,710],"sum":973,"residue":243},{"from_index":1426,"to_index":1431,"interior_indices":[1427,1428,1429,1430],"interior_values":[223,466,689,425],"sum":1803,"residue":343},{"from_index":1431,"to_index":1436,"interior_indices":[1432,1433,1434,1435],"interior_values":[79,463,542,275],"sum":1359,"residue":629},{"from_index":1436,"to_index":1439,"interior_indices":[1437,1438],"interior_values":[362,449],"sum":811,"residue":81},{"from_index":1439,"to_index":1442,"interior_indices":[1440,1441],"interior_values":[530,611],"sum":1141,"residue":411},{"from_index":1442,"to_index":1450,"interior_indices":[1443,1444,1445,1446,1447,1448,1449],"interior_values":[292,703,265,238,503,11,514],"sum":2526,"residue":336},{"from_index":1450,"to_index":1451,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1451,"to_index":1456,"interior_indices":[1452,1453,1454,1455],"interior_values":[104,413,517,200],"sum":1234,"residue":504},{"from_index":1456,"to_index":1458,"interior_indices":[1457],"interior_values":[187],"sum":187,"residue":187},{"from_index":1458,"to_index":1464,"interior_indices":[1459,1460,1461,1462,1463],"interior_values":[361,535,166,701,137],"sum":1900,"residue":440},{"from_index":1464,"to_index":1471,"interior_indices":[1465,1466,1467,1468,1469,1470],"interior_values":[245,353,598,221,89,310],"sum":1816,"residue":356},{"from_index":1471,"to_index":1473,"interior_indices":[1472],"interior_values":[709],"sum":709,"residue":709},{"from_index":1473,"to_index":1474,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1474,"to_index":1478,"interior_indices":[1475,1476,1477],"interior_values":[5,362,367],"sum":734,"residue":4},{"from_index":1478,"to_index":1479,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1479,"to_index":1482,"interior_indices":[1480,1481],"interior_values":[365,1],"sum":366,"residue":366},{"from_index":1482,"to_index":1484,"interior_indices":[1483],"interior_values":[367],"sum":367,"residue":367},{"from_index":1484,"to_index":1489,"interior_indices":[1485,1486,1487,1488],"interior_values":[370,373,13,386],"sum":1142,"residue":412},{"from_index":1489,"to_index":1494,"interior_indices":[1490,1491,1492,1493],"interior_values":[55,454,509,233],"sum":1251,"residue":521},{"from_index":1494,"to_index":1499,"interior_indices":[1495,1496,1497,1498],"interior_values":[245,257,502,29],"sum":1033,"residue":303},{"from_index":1499,"to_index":1503,"interior_indices":[1500,1501,1502],"interior_values":[560,361,191],"sum":1112,"residue":382},{"from_index":1503,"to_index":1508,"interior_indices":[1504,1505,1506,1507],"interior_values":[13,565,578,413],"sum":1569,"residue":109},{"from_index":1508,"to_index":1512,"interior_indices":[1509,1510,1511],"interior_values":[674,205,149],"sum":1028,"residue":298},{"from_index":1512,"to_index":1515,"interior_indices":[1513,1514],"interior_values":[503,127],"sum":630,"residue":630},{"from_index":1515,"to_index":1516,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1516,"to_index":1517,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1517,"to_index":1518,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1518,"to_index":1528,"interior_indices":[1519,1520,1521,1522,1523,1524,1525,1526,1527],"interior_values":[611,565,446,281,727,278,275,553,98],"sum":3834,"residue":184},{"from_index":1528,"to_index":1533,"interior_indices":[1529,1530,1531,1532],"interior_values":[19,670,689,629],"sum":2007,"residue":547},{"from_index":1533,"to_index":1535,"interior_indices":[1534],"interior_values":[487],"sum":487,"residue":487},{"from_index":1535,"to_index":1536,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1536,"to_index":1537,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1537,"to_index":1538,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1538,"to_index":1541,"interior_indices":[1539,1540],"interior_values":[266,85],"sum":351,"residue":351},{"from_index":1541,"to_index":1543,"interior_indices":[1542],"interior_values":[436],"sum":436,"residue":436},{"from_index":1543,"to_index":1549,"interior_indices":[1544,1545,1546,1547,1548],"interior_values":[493,550,313,133,446],"sum":1935,"residue":475},{"from_index":1549,"to_index":1551,"interior_indices":[1550],"interior_values":[295],"sum":295,"residue":295},{"from_index":1551,"to_index":1557,"interior_indices":[1552,1553,1554,1555,1556],"interior_values":[439,583,292,145,437],"sum":1896,"residue":436},{"from_index":1557,"to_index":1559,"interior_indices":[1558],"interior_values":[289],"sum":289,"residue":289},{"from_index":1559,"to_index":1565,"interior_indices":[1560,1561,1562,1563,1564],"interior_values":[430,571,271,112,383],"sum":1767,"residue":307},{"from_index":1565,"to_index":1571,"interior_indices":[1566,1567,1568,1569,1570],"interior_values":[148,643,61,704,35],"sum":1591,"residue":131},{"from_index":1571,"to_index":1575,"interior_indices":[1572,1573,1574],"interior_values":[44,53,97],"sum":194,"residue":194},{"from_index":1575,"to_index":1580,"interior_indices":[1576,1577,1578,1579],"interior_values":[247,397,644,311],"sum":1599,"residue":139},{"from_index":1580,"to_index":1583,"interior_indices":[1581,1582],"interior_values":[536,31],"sum":567,"residue":567},{"from_index":1583,"to_index":1585,"interior_indices":[1584],"interior_values":[598],"sum":598,"residue":598},{"from_index":1585,"to_index":1586,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1586,"to_index":1590,"interior_indices":[1587,1588,1589],"interior_values":[8,311,319],"sum":638,"residue":638},{"from_index":1590,"to_index":1591,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1591,"to_index":1596,"interior_indices":[1592,1593,1594,1595],"interior_values":[119,338,457,65],"sum":979,"residue":249},{"from_index":1596,"to_index":1600,"interior_indices":[1597,1598,1599],"interior_values":[587,379,236],"sum":1202,"residue":472},{"from_index":1600,"to_index":1602,"interior_indices":[1601],"interior_values":[121],"sum":121,"residue":121},{"from_index":1602,"to_index":1606,"interior_indices":[1603,1604,1605],"interior_values":[127,133,260],"sum":520,"residue":520},{"from_index":1606,"to_index":1610,"interior_indices":[1607,1608,1609],"interior_values":[653,316,239],"sum":1208,"residue":478},{"from_index":1610,"to_index":1615,"interior_indices":[1611,1612,1613,1614],"interior_values":[64,619,683,572],"sum":1938,"residue":478},{"from_index":1615,"to_index":1617,"interior_indices":[1616],"interior_values":[367],"sum":367,"residue":367},{"from_index":1617,"to_index":1625,"interior_indices":[1618,1619,1620,1621,1622,1623,1624],"interior_values":[529,691,490,451,211,662,143],"sum":3177,"residue":257},{"from_index":1625,"to_index":1630,"interior_indices":[1626,1627,1628,1629],"interior_values":[218,293,511,74],"sum":1096,"residue":366},{"from_index":1630,"to_index":1639,"interior_indices":[1631,1632,1633,1634,1635,1636,1637,1638],"interior_values":[659,514,443,227,670,167,107,274],"sum":3061,"residue":141},{"from_index":1639,"to_index":1641,"interior_indices":[1640],"interior_values":[655],"sum":655,"residue":655},{"from_index":1641,"to_index":1642,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1642,"to_index":1643,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1643,"to_index":1649,"interior_indices":[1644,1645,1646,1647,1648],"interior_values":[38,575,613,458,341],"sum":2025,"residue":565},{"from_index":1649,"to_index":1652,"interior_indices":[1650,1651],"interior_values":[410,479],"sum":889,"residue":159},{"from_index":1652,"to_index":1655,"interior_indices":[1653,1654],"interior_values":[638,67],"sum":705,"residue":705},{"from_index":1655,"to_index":1656,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1656,"to_index":1660,"interior_indices":[1657,1658,1659],"interior_values":[17,59,76],"sum":152,"residue":152},{"from_index":1660,"to_index":1665,"interior_indices":[1661,1662,1663,1664],"interior_values":[211,346,557,173],"sum":1287,"residue":557},{"from_index":1665,"to_index":1669,"interior_indices":[1666,1667,1668],"interior_values":[173,173,346],"sum":692,"residue":692},{"from_index":1669,"to_index":1670,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1670,"to_index":1671,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1671,"to_index":1674,"interior_indices":[1672,1673],"interior_values":[59,713],"sum":772,"residue":42},{"from_index":1674,"to_index":1678,"interior_indices":[1675,1676,1677],"interior_values":[25,67,92],"sum":184,"residue":184},{"from_index":1678,"to_index":1688,"interior_indices":[1679,1680,1681,1682,1683,1684,1685,1686,1687],"interior_values":[251,410,661,341,272,613,155,38,193],"sum":2934,"residue":14},{"from_index":1688,"to_index":1695,"interior_indices":[1689,1690,1691,1692,1693,1694],"interior_values":[424,655,349,274,623,167],"sum":2492,"residue":302},{"from_index":1695,"to_index":1700,"interior_indices":[1696,1697,1698,1699],"interior_values":[227,287,514,71],"sum":1099,"residue":369},{"from_index":1700,"to_index":1709,"interior_indices":[1701,1702,1703,1704,1705,1706,1707,1708],"interior_values":[656,511,437,218,655,143,68,211],"sum":2899,"residue":709},{"from_index":1709,"to_index":1711,"interior_indices":[1710],"interior_values":[490],"sum":490,"residue":490},{"from_index":1711,"to_index":1719,"interior_indices":[1712,1713,1714,1715,1716,1717,1718],"interior_values":[529,568,367,205,572,47,619],"sum":2907,"residue":717},{"from_index":1719,"to_index":1720,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1720,"to_index":1724,"interior_indices":[1721,1722,1723],"interior_values":[491,316,77],"sum":884,"residue":154},{"from_index":1724,"to_index":1727,"interior_indices":[1725,1726],"interior_values":[470,133],"sum":603,"residue":603},{"from_index":1727,"to_index":1728,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1728,"to_index":1729,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1729,"to_index":1730,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1730,"to_index":1734,"interior_indices":[1731,1732,1733],"interior_values":[494,379,143],"sum":1016,"residue":286},{"from_index":1734,"to_index":1740,"interior_indices":[1735,1736,1737,1738,1739],"interior_values":[665,457,392,119,511],"sum":2144,"residue":684},{"from_index":1740,"to_index":1741,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1741,"to_index":1744,"interior_indices":[1742,1743],"interior_values":[311,722],"sum":1033,"residue":303},{"from_index":1744,"to_index":1750,"interior_indices":[1745,1746,1747,1748,1749],"interior_values":[295,598,163,31,194],"sum":1281,"residue":551},{"from_index":1750,"to_index":1753,"interior_indices":[1751,1752],"interior_values":[419,644],"sum":1063,"residue":333},{"from_index":1753,"to_index":1763,"interior_indices":[1754,1755,1756,1757,1758,1759,1760,1761,1762],"interior_values":[247,580,97,677,44,721,35,26,61],"sum":2488,"residue":298},{"from_index":1763,"to_index":1767,"interior_indices":[1764,1765,1766],"interior_values":[148,235,383],"sum":766,"residue":36},{"from_index":1767,"to_index":1769,"interior_indices":[1768],"interior_values":[271],"sum":271,"residue":271},{"from_index":1769,"to_index":1775,"interior_indices":[1770,1771,1772,1773,1774],"interior_values":[430,589,289,148,437],"sum":1893,"residue":433},{"from_index":1775,"to_index":1777,"interior_indices":[1776],"interior_values":[292],"sum":292,"residue":292},{"from_index":1777,"to_index":1783,"interior_indices":[1778,1779,1780,1781,1782],"interior_values":[439,586,295,151,446],"sum":1917,"residue":457},{"from_index":1783,"to_index":1785,"interior_indices":[1784],"interior_values":[313],"sum":313,"residue":313},{"from_index":1785,"to_index":1792,"interior_indices":[1786,1787,1788,1789,1790,1791],"interior_values":[493,673,436,379,85,464],"sum":2530,"residue":340},{"from_index":1792,"to_index":1794,"interior_indices":[1793],"interior_values":[283],"sum":283,"residue":283},{"from_index":1794,"to_index":1801,"interior_indices":[1795,1796,1797,1798,1799,1800],"interior_values":[385,487,142,629,41,670],"sum":2354,"residue":164},{"from_index":1801,"to_index":1802,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1802,"to_index":1807,"interior_indices":[1803,1804,1805,1806],"interior_values":[632,553,455,278],"sum":1918,"residue":458},{"from_index":1807,"to_index":1812,"interior_indices":[1808,1809,1810,1811],"interior_values":[281,284,565,119],"sum":1249,"residue":519},{"from_index":1812,"to_index":1814,"interior_indices":[1813],"interior_values":[73],"sum":73,"residue":73},{"from_index":1814,"to_index":1818,"interior_indices":[1815,1816,1817],"interior_values":[100,127,227],"sum":454,"residue":454},{"from_index":1818,"to_index":1822,"interior_indices":[1819,1820,1821],"interior_values":[581,205,56],"sum":842,"residue":112},{"from_index":1822,"to_index":1825,"interior_indices":[1823,1824],"interior_values":[317,578],"sum":895,"residue":165},{"from_index":1825,"to_index":1829,"interior_indices":[1826,1827,1828],"interior_values":[13,178,191],"sum":382,"residue":382},{"from_index":1829,"to_index":1833,"interior_indices":[1830,1831,1832],"interior_values":[560,199,29],"sum":788,"residue":58},{"from_index":1833,"to_index":1836,"interior_indices":[1834,1835],"interior_values":[257,485],"sum":742,"residue":12},{"from_index":1836,"to_index":1839,"interior_indices":[1837,1838],"interior_values":[497,509],"sum":1006,"residue":276},{"from_index":1839,"to_index":1843,"interior_indices":[1840,1841,1842],"interior_values":[55,331,386],"sum":772,"residue":42},{"from_index":1843,"to_index":1845,"interior_indices":[1844],"interior_values":[373],"sum":373,"residue":373},{"from_index":1845,"to_index":1846,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1846,"to_index":1847,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1847,"to_index":1848,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1848,"to_index":1849,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1849,"to_index":1852,"interior_indices":[1850,1851],"interior_values":[365,364],"sum":729,"residue":729},{"from_index":1852,"to_index":1853,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1853,"to_index":1856,"interior_indices":[1854,1855],"interior_values":[362,725],"sum":1087,"residue":357},{"from_index":1856,"to_index":1863,"interior_indices":[1857,1858,1859,1860,1861,1862],"interior_values":[352,709,331,310,641,221],"sum":2564,"residue":374},{"from_index":1863,"to_index":1866,"interior_indices":[1864,1865],"interior_values":[353,485],"sum":838,"residue":108},{"from_index":1866,"to_index":1869,"interior_indices":[1867,1868],"interior_values":[593,701],"sum":1294,"residue":564},{"from_index":1869,"to_index":1871,"interior_indices":[1870],"interior_values":[535],"sum":535,"residue":535},{"from_index":1871,"to_index":1872,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1872,"to_index":1873,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1873,"to_index":1874,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1874,"to_index":1880,"interior_indices":[1875,1876,1877,1878,1879],"interior_values":[530,517,317,104,421],"sum":1889,"residue":429},{"from_index":1880,"to_index":1881,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1881,"to_index":1885,"interior_indices":[1882,1883,1884],"interior_values":[11,227,238],"sum":476,"residue":476},{"from_index":1885,"to_index":1887,"interior_indices":[1886],"interior_values":[703],"sum":703,"residue":703},{"from_index":1887,"to_index":1888,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1888,"to_index":1894,"interior_indices":[1889,1890,1891,1892,1893],"interior_values":[119,530,649,449,368],"sum":2115,"residue":655},{"from_index":1894,"to_index":1897,"interior_indices":[1895,1896],"interior_values":[455,542],"sum":997,"residue":267},{"from_index":1897,"to_index":1903,"interior_indices":[1898,1899,1900,1901,1902],"interior_values":[79,346,425,41,466],"sum":1357,"residue":627},{"from_index":1903,"to_index":1904,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1904,"to_index":1908,"interior_indices":[1905,1906,1907],"interior_values":[20,263,283],"sum":566,"residue":566},{"from_index":1908,"to_index":1909,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1909,"to_index":1910,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1910,"to_index":1916,"interior_indices":[1911,1912,1913,1914,1915],"interior_values":[14,659,673,602,545],"sum":2493,"residue":303},{"from_index":1916,"to_index":1922,"interior_indices":[1917,1918,1919,1920,1921],"interior_values":[232,649,151,70,221],"sum":1323,"residue":593},{"from_index":1922,"to_index":1925,"interior_indices":[1923,1924],"interior_values":[512,73],"sum":585,"residue":585},{"from_index":1925,"to_index":1927,"interior_indices":[1926],"interior_values":[658],"sum":658,"residue":658},{"from_index":1927,"to_index":1928,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1928,"to_index":1931,"interior_indices":[1929,1930],"interior_values":[224,665],"sum":889,"residue":159},{"from_index":1931,"to_index":1935,"interior_indices":[1932,1933,1934],"interior_values":[94,253,347],"sum":694,"residue":694},{"from_index":1935,"to_index":1937,"interior_indices":[1936],"interior_values":[217],"sum":217,"residue":217},{"from_index":1937,"to_index":1942,"interior_indices":[1938,1939,1940,1941],"interior_values":[304,391,695,356],"sum":1746,"residue":286},{"from_index":1942,"to_index":1946,"interior_indices":[1943,1944,1945],"interior_values":[677,268,215],"sum":1160,"residue":430},{"from_index":1946,"to_index":1952,"interior_indices":[1947,1948,1949,1950,1951],"interior_values":[698,451,419,140,559],"sum":2267,"residue":77},{"from_index":1952,"to_index":1953,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1953,"to_index":1957,"interior_indices":[1954,1955,1956],"interior_values":[497,295,62],"sum":854,"residue":124},{"from_index":1957,"to_index":1960,"interior_indices":[1958,1959],"interior_values":[419,46],"sum":465,"residue":465},{"from_index":1960,"to_index":1962,"interior_indices":[1961],"interior_values":[511],"sum":511,"residue":511},{"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":1966,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1966,"to_index":1969,"interior_indices":[1967,1968],"interior_values":[143,716],"sum":859,"residue":129},{"from_index":1969,"to_index":1973,"interior_indices":[1970,1971,1972],"interior_values":[115,244,359],"sum":718,"residue":718},{"from_index":1973,"to_index":1975,"interior_indices":[1974],"interior_values":[232],"sum":232,"residue":232},{"from_index":1975,"to_index":1980,"interior_indices":[1976,1977,1978,1979],"interior_values":[337,442,49,491],"sum":1319,"residue":589},{"from_index":1980,"to_index":1982,"interior_indices":[1981],"interior_values":[301],"sum":301,"residue":301},{"from_index":1982,"to_index":1988,"interior_indices":[1983,1984,1985,1986,1987],"interior_values":[412,523,205,728,203],"sum":2071,"residue":611},{"from_index":1988,"to_index":1991,"interior_indices":[1989,1990],"interior_values":[404,605],"sum":1009,"residue":279},{"from_index":1991,"to_index":1996,"interior_indices":[1992,1993,1994,1995],"interior_values":[154,433,587,290],"sum":1464,"residue":4},{"from_index":1996,"to_index":1999,"interior_indices":[1997,1998],"interior_values":[437,584],"sum":1021,"residue":291},{"from_index":1999,"to_index":2004,"interior_indices":[2000,2001,2002,2003],"interior_values":[145,436,581,287],"sum":1449,"residue":719},{"from_index":2004,"to_index":2007,"interior_indices":[2005,2006],"interior_values":[425,563],"sum":988,"residue":258},{"from_index":2007,"to_index":2013,"interior_indices":[2008,2009,2010,2011,2012],"interior_values":[91,349,440,59,499],"sum":1438,"residue":708},{"from_index":2013,"to_index":2014,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2014,"to_index":2024,"interior_indices":[2015,2016,2017,2018,2019,2020,2021,2022,2023],"interior_values":[155,482,637,389,296,685,251,206,457],"sum":3558,"residue":638},{"from_index":2024,"to_index":2025,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2025,"to_index":2028,"interior_indices":[2026,2027],"interior_values":[323,713],"sum":1036,"residue":306},{"from_index":2028,"to_index":2034,"interior_indices":[2029,2030,2031,2032,2033],"interior_values":[289,595,154,19,173],"sum":1230,"residue":500},{"from_index":2034,"to_index":2037,"interior_indices":[2035,2036],"interior_values":[365,557],"sum":922,"residue":192},{"from_index":2037,"to_index":2041,"interior_indices":[2038,2039,2040],"interior_values":[19,211,230],"sum":460,"residue":460},{"from_index":2041,"to_index":2045,"interior_indices":[2042,2043,2044],"interior_values":[671,382,323],"sum":1376,"residue":646},{"from_index":2045,"to_index":2047,"interior_indices":[2046],"interior_values":[298],"sum":298,"residue":298},{"from_index":2047,"to_index":2049,"interior_indices":[2048],"interior_values":[571],"sum":571,"residue":571},{"from_index":2049,"to_index":2051,"interior_indices":[2050],"interior_values":[685],"sum":685,"residue":685},{"from_index":2051,"to_index":2052,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2052,"to_index":2053,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2053,"to_index":2054,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2054,"to_index":2055,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"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":2060,"interior_indices":[2058,2059],"interior_values":[134,671],"sum":805,"residue":75},{"from_index":2060,"to_index":2064,"interior_indices":[2061,2062,2063],"interior_values":[16,91,107],"sum":214,"residue":214},{"from_index":2064,"to_index":2067,"interior_indices":[2065,2066],"interior_values":[305,503],"sum":808,"residue":78},{"from_index":2067,"to_index":2070,"interior_indices":[2068,2069],"interior_values":[581,659],"sum":1240,"residue":510},{"from_index":2070,"to_index":2072,"interior_indices":[2071],"interior_values":[439],"sum":439,"residue":439},{"from_index":2072,"to_index":2074,"interior_indices":[2073],"interior_values":[658],"sum":658,"residue":658},{"from_index":2074,"to_index":2075,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2075,"to_index":2076,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2076,"to_index":2077,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2077,"to_index":2078,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2078,"to_index":2084,"interior_indices":[2079,2080,2081,2082,2083],"interior_values":[86,605,691,566,527],"sum":2475,"residue":285},{"from_index":2084,"to_index":2089,"interior_indices":[2085,2086,2087,2088],"interior_values":[160,523,683,476],"sum":1842,"residue":382},{"from_index":2089,"to_index":2094,"interior_indices":[2090,2091,2092,2093],"interior_values":[175,604,49,653],"sum":1481,"residue":21},{"from_index":2094,"to_index":2096,"interior_indices":[2095],"interior_values":[625],"sum":625,"residue":625},{"from_index":2096,"to_index":2097,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2097,"to_index":2100,"interior_indices":[2098,2099],"interior_values":[359,121],"sum":480,"residue":480},{"from_index":2100,"to_index":2102,"interior_indices":[2101],"interior_values":[601],"sum":601,"residue":601},{"from_index":2102,"to_index":2103,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2103,"to_index":2104,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2104,"to_index":2110,"interior_indices":[2105,2106,2107,2108,2109],"interior_values":[65,638,703,611,584],"sum":2601,"residue":411},{"from_index":2110,"to_index":2112,"interior_indices":[2111],"interior_values":[319],"sum":319,"residue":319},{"from_index":2112,"to_index":2117,"interior_indices":[2113,2114,2115,2116],"interior_values":[373,427,70,497],"sum":1367,"residue":637},{"from_index":2117,"to_index":2119,"interior_indices":[2118],"interior_values":[334],"sum":334,"residue":334},{"from_index":2119,"to_index":2126,"interior_indices":[2120,2121,2122,2123,2124,2125],"interior_values":[505,676,451,397,118,515],"sum":2662,"residue":472},{"from_index":2126,"to_index":2128,"interior_indices":[2127],"interior_values":[418],"sum":418,"residue":418},{"from_index":2128,"to_index":2129,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2129,"to_index":2130,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2130,"to_index":2131,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2131,"to_index":2132,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2132,"to_index":2135,"interior_indices":[2133,2134],"interior_values":[278,217],"sum":495,"residue":495},{"from_index":2135,"to_index":2137,"interior_indices":[2136],"interior_values":[712],"sum":712,"residue":712},{"from_index":2137,"to_index":2138,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2138,"to_index":2141,"interior_indices":[2139,2140],"interior_values":[206,665],"sum":871,"residue":141},{"from_index":2141,"to_index":2145,"interior_indices":[2142,2143,2144],"interior_values":[76,217,293],"sum":586,"residue":586},{"from_index":2145,"to_index":2150,"interior_indices":[2146,2147,2148,2149],"interior_values":[73,583,656,509],"sum":1821,"residue":361},{"from_index":2150,"to_index":2156,"interior_indices":[2151,2152,2153,2154,2155],"interior_values":[214,649,133,52,185],"sum":1233,"residue":503},{"from_index":2156,"to_index":2159,"interior_indices":[2157,2158],"interior_values":[422,659],"sum":1081,"residue":351},{"from_index":2159,"to_index":2165,"interior_indices":[2160,2161,2162,2163,2164],"interior_values":[280,631,181,82,263],"sum":1437,"residue":707},{"from_index":2165,"to_index":2169,"interior_indices":[2166,2167,2168],"interior_values":[608,223,101],"sum":932,"residue":202},{"from_index":2169,"to_index":2172,"interior_indices":[2170,2171],"interior_values":[425,19],"sum":444,"residue":444},{"from_index":2172,"to_index":2174,"interior_indices":[2173],"interior_values":[463],"sum":463,"residue":463},{"from_index":2174,"to_index":2176,"interior_indices":[2175],"interior_values":[640],"sum":640,"residue":640},{"from_index":2176,"to_index":2178,"interior_indices":[2177],"interior_values":[727],"sum":727,"residue":727},{"from_index":2178,"to_index":2179,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2179,"to_index":2180,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2180,"to_index":2181,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2181,"to_index":2182,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2182,"to_index":2183,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2183,"to_index":2186,"interior_indices":[2184,2185],"interior_values":[338,265],"sum":603,"residue":603},{"from_index":2186,"to_index":2187,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2187,"to_index":2191,"interior_indices":[2188,2189,2190],"interior_values":[11,149,160],"sum":320,"residue":320},{"from_index":2191,"to_index":2193,"interior_indices":[2192],"interior_values":[469],"sum":469,"residue":469},{"from_index":2193,"to_index":2199,"interior_indices":[2194,2195,2196,2197,2198],"interior_values":[517,565,352,187,539],"sum":2160,"residue":700},{"from_index":2199,"to_index":2201,"interior_indices":[2200],"interior_values":[535],"sum":535,"residue":535},{"from_index":2201,"to_index":2202,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2202,"to_index":2210,"interior_indices":[2203,2204,2205,2206,2207,2208,2209],"interior_values":[137,473,610,353,233,586,89],"sum":2481,"residue":291},{"from_index":2210,"to_index":2218,"interior_indices":[2211,2212,2213,2214,2215,2216,2217],"interior_values":[34,709,13,722,5,727,2],"sum":2212,"residue":22},{"from_index":2218,"to_index":0,"interior_indices":[2219],"interior_values":[1],"sum":1,"residue":1}],"minimal_cycle":[4,26,178,548,0,0,378,565,0,0,0,0,138,54,319,565,632,244,549,631,0,441,133,215,0,654,0,542,0,0,0,339,400,709,397,676,0,0,0,303,433,262,709,604,0,207,141,508,299,441,478,403,613,706,0,0,0,0,0,0,118,711,0,519,154,373,569,620,0,698,0,596,0,572,0,8,553,442,0,0,0,615,0,314,457,157,466,139,430,408,0,0,0,636,0,578,0,0,0,442,151,601,711,0,692,0,302,0,0,0,216,109,543,556,0,0,646,420,331,358,0,364,727,0,0,675,0,204,340,717,0,264,454,311,3,177,711,0,284,481,379,673,0,0,0,435,586,0,0,0,441,589,0,0,0,582,0,0,615,580,0,474,163,403,154,286,609,724,0,154,666,0,410,568,0,0,0,0,69,142,60,456,349,503,366,637,595,0,0,384,68,0,548,117,537,499,0,0,0,96,148,75,519,451,691,0,0,0,111,478,520,593,130,219,543,0,0,0,375,0,0,9,669,643,0,459,571,0,0,0,438,583,0,0,0,417,550,0,0,0,0,447,628,0,0,60,196,159,657,703,0,298,83,0,340,627,0,357,4,384,0,0,0,582,587,309,481,265,692,22,0,264,427,227,626,0,0,0,436,145,188,0,513,643,0,141,64,171,466,622,265,513,0,498,625,0,0,429,619,0,0,500,0,584,0,668,0,231,668,45,273,525,0,0,0,711,0,118,432,457,616,663,0,709,511,239,4,0,602,0,0,105,12,250,341,530,676,0,0,396,559,0,0,0,0,312,244,235,242,0,657,0,590,0,0,0,336,0,0,0,244,610,286,553,643,208,559,421,682,0,0,0,195,713,144,696,0,0,3,729,0,0,0,712,709,0,617,336,547,352,513,0,411,484,649,0,0,0,0,0,0,0,202,526,181,166,597,649,0,147,586,394,409,391,721,0,0,333,451,598,427,0,0,0,27,573,508,0,0,0,597,0,0,126,62,0,39,519,433,655,0,0,0,0,42,714,0,386,520,637,716,460,19,576,595,0,680,0,3,327,322,701,294,1,297,76,525,523,0,0,0,288,220,559,430,703,0,0,0,124,699,0,204,106,339,181,376,581,579,649,0,57,645,631,0,243,343,629,81,411,336,0,504,187,440,356,709,0,4,0,366,367,412,521,303,382,109,298,630,0,0,0,184,547,487,0,0,0,351,436,475,295,436,289,307,131,194,139,567,598,0,638,0,249,472,121,520,478,478,367,257,366,141,655,0,0,565,159,705,0,152,557,692,0,0,42,184,14,302,369,709,490,717,0,154,603,0,0,0,286,684,0,303,551,333,298,36,271,433,292,457,313,340,283,164,0,458,519,73,454,112,165,382,58,12,276,42,373,0,0,0,0,729,0,357,374,108,564,535,0,0,0,429,0,476,703,0,655,267,627,0,566,0,0,303,593,585,658,0,159,694,217,286,430,77,0,124,465,511,0,0,0,0,129,718,232,589,301,611,279,4,291,719,258,708,0,638,0,306,500,192,460,646,298,571,685,0,0,0,0,0,0,75,214,78,510,439,658,0,0,0,0,285,382,21,625,0,480,601,0,0,411,319,637,334,472,418,0,0,0,0,495,712,0,141,586,361,503,351,707,202,444,463,640,727,0,0,0,0,0,603,0,320,469,700,535,0,291,22,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[2220,4],"start_interval_values":[1,1,2],"circle_positions":730,"cycle_length":740,"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":[0,740,1480],"clock_positions":[2220,740,1480],"native_values":[730,365,365],"rotation_degrees":0.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[730,365,365],"beta":{"interval_sums":[268275,276670,263165],"interval_residues":[365,0,365],"display_cycle":[365,730,365],"intervals":[{"from_index":0,"to_index":740,"sum":268275,"residue":365},{"from_index":740,"to_index":1480,"sum":276670,"residue":0},{"from_index":1480,"to_index":0,"sum":263165,"residue":365}],"minimal_cycle":[365,0,365],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":365,"start_interval_clock_positions":[2220,740],"circle_positions":730,"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":[1,741,1481],"clock_positions":[1,741,1481],"native_values":[1,366,1],"rotation_degrees":0.16216216216216217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,366,1],"beta":{"interval_sums":[268639,276669,263164],"interval_residues":[729,729,364],"display_cycle":[729,729,364],"intervals":[{"from_index":1,"to_index":741,"sum":268639,"residue":729},{"from_index":741,"to_index":1481,"sum":276669,"residue":729},{"from_index":1481,"to_index":1,"sum":263164,"residue":364}],"minimal_cycle":[729,729,364],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":729,"start_interval_clock_positions":[1,741],"circle_positions":730,"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":[2,742,1482],"clock_positions":[2,742,1482],"native_values":[1,1,366],"rotation_degrees":0.32432432432432434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,1,366],"beta":{"interval_sums":[269004,276669,262799],"interval_residues":[364,729,729],"display_cycle":[364,729,729],"intervals":[{"from_index":2,"to_index":742,"sum":269004,"residue":364},{"from_index":742,"to_index":1482,"sum":276669,"residue":729},{"from_index":1482,"to_index":2,"sum":262799,"residue":729}],"minimal_cycle":[364,729,729],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":364,"start_interval_clock_positions":[2,742],"circle_positions":730,"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":[3,743,1483],"clock_positions":[3,743,1483],"native_values":[2,367,367],"rotation_degrees":0.4864864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,367,367],"beta":{"interval_sums":[269003,276668,262433],"interval_residues":[363,728,363],"display_cycle":[363,728,363],"intervals":[{"from_index":3,"to_index":743,"sum":269003,"residue":363},{"from_index":743,"to_index":1483,"sum":276668,"residue":728},{"from_index":1483,"to_index":3,"sum":262433,"residue":363}],"minimal_cycle":[363,728,363],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":363,"start_interval_clock_positions":[3,743],"circle_positions":730,"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":[4,744,1484],"clock_positions":[4,744,1484],"native_values":[3,368,3],"rotation_degrees":0.6486486486486487,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,368,3],"beta":{"interval_sums":[269367,276667,262432],"interval_residues":[727,727,362],"display_cycle":[727,727,362],"intervals":[{"from_index":4,"to_index":744,"sum":269367,"residue":727},{"from_index":744,"to_index":1484,"sum":276667,"residue":727},{"from_index":1484,"to_index":4,"sum":262432,"residue":362}],"minimal_cycle":[727,727,362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":727,"start_interval_clock_positions":[4,744],"circle_positions":730,"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":[5,745,1485],"clock_positions":[5,745,1485],"native_values":[5,5,370],"rotation_degrees":0.8108108108108109,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,5,370],"beta":{"interval_sums":[269730,276665,262065],"interval_residues":[360,725,725],"display_cycle":[360,725,725],"intervals":[{"from_index":5,"to_index":745,"sum":269730,"residue":360},{"from_index":745,"to_index":1485,"sum":276665,"residue":725},{"from_index":1485,"to_index":5,"sum":262065,"residue":725}],"minimal_cycle":[360,725,725],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":360,"start_interval_clock_positions":[5,745],"circle_positions":730,"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":[6,746,1486],"clock_positions":[6,746,1486],"native_values":[8,373,373],"rotation_degrees":0.972972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,373,373],"beta":{"interval_sums":[269727,276662,261697],"interval_residues":[357,722,357],"display_cycle":[357,722,357],"intervals":[{"from_index":6,"to_index":746,"sum":269727,"residue":357},{"from_index":746,"to_index":1486,"sum":276662,"residue":722},{"from_index":1486,"to_index":6,"sum":261697,"residue":357}],"minimal_cycle":[357,722,357],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":357,"start_interval_clock_positions":[6,746],"circle_positions":730,"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":[7,747,1487],"clock_positions":[7,747,1487],"native_values":[13,378,13],"rotation_degrees":1.135135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,378,13],"beta":{"interval_sums":[270087,276657,261692],"interval_residues":[717,717,352],"display_cycle":[717,717,352],"intervals":[{"from_index":7,"to_index":747,"sum":270087,"residue":717},{"from_index":747,"to_index":1487,"sum":276657,"residue":717},{"from_index":1487,"to_index":7,"sum":261692,"residue":352}],"minimal_cycle":[717,717,352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":717,"start_interval_clock_positions":[7,747],"circle_positions":730,"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":[8,748,1488],"clock_positions":[8,748,1488],"native_values":[21,21,386],"rotation_degrees":1.2972972972972974,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,21,386],"beta":{"interval_sums":[270444,276649,261319],"interval_residues":[344,709,709],"display_cycle":[344,709,709],"intervals":[{"from_index":8,"to_index":748,"sum":270444,"residue":344},{"from_index":748,"to_index":1488,"sum":276649,"residue":709},{"from_index":1488,"to_index":8,"sum":261319,"residue":709}],"minimal_cycle":[344,709,709],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":344,"start_interval_clock_positions":[8,748],"circle_positions":730,"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":[9,749,1489],"clock_positions":[9,749,1489],"native_values":[34,399,399],"rotation_degrees":1.4594594594594594,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,399,399],"beta":{"interval_sums":[270431,276636,260941],"interval_residues":[331,696,331],"display_cycle":[331,696,331],"intervals":[{"from_index":9,"to_index":749,"sum":270431,"residue":331},{"from_index":749,"to_index":1489,"sum":276636,"residue":696},{"from_index":1489,"to_index":9,"sum":260941,"residue":331}],"minimal_cycle":[331,696,331],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":331,"start_interval_clock_positions":[9,749],"circle_positions":730,"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":[10,750,1490],"clock_positions":[10,750,1490],"native_values":[55,420,55],"rotation_degrees":1.6216216216216217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,420,55],"beta":{"interval_sums":[270775,276615,260920],"interval_residues":[675,675,310],"display_cycle":[675,675,310],"intervals":[{"from_index":10,"to_index":750,"sum":270775,"residue":675},{"from_index":750,"to_index":1490,"sum":276615,"residue":675},{"from_index":1490,"to_index":10,"sum":260920,"residue":310}],"minimal_cycle":[675,675,310],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":675,"start_interval_clock_positions":[10,750],"circle_positions":730,"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":[11,751,1491],"clock_positions":[11,751,1491],"native_values":[89,89,454],"rotation_degrees":1.7837837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,89,454],"beta":{"interval_sums":[271106,276581,260521],"interval_residues":[276,641,641],"display_cycle":[276,641,641],"intervals":[{"from_index":11,"to_index":751,"sum":271106,"residue":276},{"from_index":751,"to_index":1491,"sum":276581,"residue":641},{"from_index":1491,"to_index":11,"sum":260521,"residue":641}],"minimal_cycle":[276,641,641],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":276,"start_interval_clock_positions":[11,751],"circle_positions":730,"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":[12,752,1492],"clock_positions":[12,752,1492],"native_values":[144,509,509],"rotation_degrees":1.945945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,509,509],"beta":{"interval_sums":[271051,276526,260101],"interval_residues":[221,586,221],"display_cycle":[221,586,221],"intervals":[{"from_index":12,"to_index":752,"sum":271051,"residue":221},{"from_index":752,"to_index":1492,"sum":276526,"residue":586},{"from_index":1492,"to_index":12,"sum":260101,"residue":221}],"minimal_cycle":[221,586,221],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":221,"start_interval_clock_positions":[12,752],"circle_positions":730,"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":[13,753,1493],"clock_positions":[13,753,1493],"native_values":[233,598,233],"rotation_degrees":2.108108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,598,233],"beta":{"interval_sums":[271327,276437,260012],"interval_residues":[497,497,132],"display_cycle":[497,497,132],"intervals":[{"from_index":13,"to_index":753,"sum":271327,"residue":497},{"from_index":753,"to_index":1493,"sum":276437,"residue":497},{"from_index":1493,"to_index":13,"sum":260012,"residue":132}],"minimal_cycle":[497,497,132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":497,"start_interval_clock_positions":[13,753],"circle_positions":730,"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":[14,754,1494],"clock_positions":[14,754,1494],"native_values":[377,377,12],"rotation_degrees":2.27027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,377,12],"beta":{"interval_sums":[271548,276293,260233],"interval_residues":[718,353,353],"display_cycle":[718,353,353],"intervals":[{"from_index":14,"to_index":754,"sum":271548,"residue":718},{"from_index":754,"to_index":1494,"sum":276293,"residue":353},{"from_index":1494,"to_index":14,"sum":260233,"residue":353}],"minimal_cycle":[718,353,353],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":718,"start_interval_clock_positions":[14,754],"circle_positions":730,"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":[15,755,1495],"clock_positions":[15,755,1495],"native_values":[610,245,245],"rotation_degrees":2.4324324324324325,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,245,245],"beta":{"interval_sums":[271315,276060,260365],"interval_residues":[485,120,485],"display_cycle":[485,120,485],"intervals":[{"from_index":15,"to_index":755,"sum":271315,"residue":485},{"from_index":755,"to_index":1495,"sum":276060,"residue":120},{"from_index":1495,"to_index":15,"sum":260365,"residue":485}],"minimal_cycle":[485,120,485],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":485,"start_interval_clock_positions":[15,755],"circle_positions":730,"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":[16,756,1496],"clock_positions":[16,756,1496],"native_values":[257,622,257],"rotation_degrees":2.5945945945945947,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,622,257],"beta":{"interval_sums":[271303,275683,260718],"interval_residues":[473,473,108],"display_cycle":[473,473,108],"intervals":[{"from_index":16,"to_index":756,"sum":271303,"residue":473},{"from_index":756,"to_index":1496,"sum":275683,"residue":473},{"from_index":1496,"to_index":16,"sum":260718,"residue":108}],"minimal_cycle":[473,473,108],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":473,"start_interval_clock_positions":[16,756],"circle_positions":730,"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":[17,757,1497],"clock_positions":[17,757,1497],"native_values":[137,137,502],"rotation_degrees":2.7567567567567566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,137,502],"beta":{"interval_sums":[271788,275803,260473],"interval_residues":[228,593,593],"display_cycle":[228,593,593],"intervals":[{"from_index":17,"to_index":757,"sum":271788,"residue":228},{"from_index":757,"to_index":1497,"sum":275803,"residue":593},{"from_index":1497,"to_index":17,"sum":260473,"residue":593}],"minimal_cycle":[228,593,593],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[17,757],"circle_positions":730,"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":[18,758,1498],"clock_positions":[18,758,1498],"native_values":[394,29,29],"rotation_degrees":2.918918918918919,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[394,29,29],"beta":{"interval_sums":[271531,276276,260581],"interval_residues":[701,336,701],"display_cycle":[701,336,701],"intervals":[{"from_index":18,"to_index":758,"sum":271531,"residue":701},{"from_index":758,"to_index":1498,"sum":276276,"residue":336},{"from_index":1498,"to_index":18,"sum":260581,"residue":701}],"minimal_cycle":[701,336,701],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":701,"start_interval_clock_positions":[18,758],"circle_positions":730,"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":[19,759,1499],"clock_positions":[19,759,1499],"native_values":[531,166,531],"rotation_degrees":3.081081081081081,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[531,166,531],"beta":{"interval_sums":[271029,276139,260444],"interval_residues":[199,199,564],"display_cycle":[199,199,564],"intervals":[{"from_index":19,"to_index":759,"sum":271029,"residue":199},{"from_index":759,"to_index":1499,"sum":276139,"residue":199},{"from_index":1499,"to_index":19,"sum":260444,"residue":564}],"minimal_cycle":[199,199,564],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":199,"start_interval_clock_positions":[19,759],"circle_positions":730,"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":[20,760,1500],"clock_positions":[20,760,1500],"native_values":[195,195,560],"rotation_degrees":3.2432432432432434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,195,560],"beta":{"interval_sums":[271000,276475,260415],"interval_residues":[170,535,535],"display_cycle":[170,535,535],"intervals":[{"from_index":20,"to_index":760,"sum":271000,"residue":170},{"from_index":760,"to_index":1500,"sum":276475,"residue":535},{"from_index":1500,"to_index":20,"sum":260415,"residue":535}],"minimal_cycle":[170,535,535],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[20,760],"circle_positions":730,"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":[21,761,1501],"clock_positions":[21,761,1501],"native_values":[726,361,361],"rotation_degrees":3.4054054054054053,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[726,361,361],"beta":{"interval_sums":[270469,276674,260249],"interval_residues":[369,4,369],"display_cycle":[369,4,369],"intervals":[{"from_index":21,"to_index":761,"sum":270469,"residue":369},{"from_index":761,"to_index":1501,"sum":276674,"residue":4},{"from_index":1501,"to_index":21,"sum":260249,"residue":369}],"minimal_cycle":[369,4,369],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":369,"start_interval_clock_positions":[21,761],"circle_positions":730,"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":[22,762,1502],"clock_positions":[22,762,1502],"native_values":[191,556,191],"rotation_degrees":3.5675675675675675,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[191,556,191],"beta":{"interval_sums":[270639,276479,260784],"interval_residues":[539,539,174],"display_cycle":[539,539,174],"intervals":[{"from_index":22,"to_index":762,"sum":270639,"residue":539},{"from_index":762,"to_index":1502,"sum":276479,"residue":539},{"from_index":1502,"to_index":22,"sum":260784,"residue":174}],"minimal_cycle":[539,539,174],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":539,"start_interval_clock_positions":[22,762],"circle_positions":730,"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":[23,763,1503],"clock_positions":[23,763,1503],"native_values":[187,187,552],"rotation_degrees":3.72972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[187,187,552],"beta":{"interval_sums":[271008,276483,260423],"interval_residues":[178,543,543],"display_cycle":[178,543,543],"intervals":[{"from_index":23,"to_index":763,"sum":271008,"residue":178},{"from_index":763,"to_index":1503,"sum":276483,"residue":543},{"from_index":1503,"to_index":23,"sum":260423,"residue":543}],"minimal_cycle":[178,543,543],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":178,"start_interval_clock_positions":[23,763],"circle_positions":730,"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":[24,764,1504],"clock_positions":[24,764,1504],"native_values":[378,13,13],"rotation_degrees":3.891891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[378,13,13],"beta":{"interval_sums":[270817,277022,260597],"interval_residues":[717,352,717],"display_cycle":[717,352,717],"intervals":[{"from_index":24,"to_index":764,"sum":270817,"residue":717},{"from_index":764,"to_index":1504,"sum":277022,"residue":352},{"from_index":1504,"to_index":24,"sum":260597,"residue":717}],"minimal_cycle":[717,352,717],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":717,"start_interval_clock_positions":[24,764],"circle_positions":730,"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":[25,765,1505],"clock_positions":[25,765,1505],"native_values":[565,200,565],"rotation_degrees":4.054054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,200,565],"beta":{"interval_sums":[270265,276835,260410],"interval_residues":[165,165,530],"display_cycle":[165,165,530],"intervals":[{"from_index":25,"to_index":765,"sum":270265,"residue":165},{"from_index":765,"to_index":1505,"sum":276835,"residue":165},{"from_index":1505,"to_index":25,"sum":260410,"residue":530}],"minimal_cycle":[165,165,530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":165,"start_interval_clock_positions":[25,765],"circle_positions":730,"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":[26,766,1506],"clock_positions":[26,766,1506],"native_values":[213,213,578],"rotation_degrees":4.216216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,213,578],"beta":{"interval_sums":[270252,277187,260397],"interval_residues":[152,517,517],"display_cycle":[152,517,517],"intervals":[{"from_index":26,"to_index":766,"sum":270252,"residue":152},{"from_index":766,"to_index":1506,"sum":277187,"residue":517},{"from_index":1506,"to_index":26,"sum":260397,"residue":517}],"minimal_cycle":[152,517,517],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":152,"start_interval_clock_positions":[26,766],"circle_positions":730,"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":[27,767,1507],"clock_positions":[27,767,1507],"native_values":[48,413,413],"rotation_degrees":4.378378378378378,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[48,413,413],"beta":{"interval_sums":[270417,277352,260197],"interval_residues":[317,682,317],"display_cycle":[317,682,317],"intervals":[{"from_index":27,"to_index":767,"sum":270417,"residue":317},{"from_index":767,"to_index":1507,"sum":277352,"residue":682},{"from_index":1507,"to_index":27,"sum":260197,"residue":317}],"minimal_cycle":[317,682,317],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":317,"start_interval_clock_positions":[27,767],"circle_positions":730,"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":[28,768,1508],"clock_positions":[28,768,1508],"native_values":[261,626,261],"rotation_degrees":4.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,626,261],"beta":{"interval_sums":[270569,277139,259984],"interval_residues":[469,469,104],"display_cycle":[469,469,104],"intervals":[{"from_index":28,"to_index":768,"sum":270569,"residue":469},{"from_index":768,"to_index":1508,"sum":277139,"residue":469},{"from_index":1508,"to_index":28,"sum":259984,"residue":104}],"minimal_cycle":[469,469,104],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":469,"start_interval_clock_positions":[28,768],"circle_positions":730,"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":[29,769,1509],"clock_positions":[29,769,1509],"native_values":[309,309,674],"rotation_degrees":4.702702702702703,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,309,674],"beta":{"interval_sums":[270886,277091,259571],"interval_residues":[56,421,421],"display_cycle":[56,421,421],"intervals":[{"from_index":29,"to_index":769,"sum":270886,"residue":56},{"from_index":769,"to_index":1509,"sum":277091,"residue":421},{"from_index":1509,"to_index":29,"sum":259571,"residue":421}],"minimal_cycle":[56,421,421],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":56,"start_interval_clock_positions":[29,769],"circle_positions":730,"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":[30,770,1510],"clock_positions":[30,770,1510],"native_values":[570,205,205],"rotation_degrees":4.864864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[570,205,205],"beta":{"interval_sums":[270625,277560,259675],"interval_residues":[525,160,525],"display_cycle":[525,160,525],"intervals":[{"from_index":30,"to_index":770,"sum":270625,"residue":525},{"from_index":770,"to_index":1510,"sum":277560,"residue":160},{"from_index":1510,"to_index":30,"sum":259675,"residue":525}],"minimal_cycle":[525,160,525],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":525,"start_interval_clock_positions":[30,770],"circle_positions":730,"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":[31,771,1511],"clock_positions":[31,771,1511],"native_values":[149,514,149],"rotation_degrees":5.027027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,514,149],"beta":{"interval_sums":[270681,277251,260096],"interval_residues":[581,581,216],"display_cycle":[581,581,216],"intervals":[{"from_index":31,"to_index":771,"sum":270681,"residue":581},{"from_index":771,"to_index":1511,"sum":277251,"residue":581},{"from_index":1511,"to_index":31,"sum":260096,"residue":216}],"minimal_cycle":[581,581,216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":581,"start_interval_clock_positions":[31,771],"circle_positions":730,"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":[32,772,1512],"clock_positions":[32,772,1512],"native_values":[719,719,354],"rotation_degrees":5.1891891891891895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[719,719,354],"beta":{"interval_sums":[270476,276681,259891],"interval_residues":[376,11,11],"display_cycle":[376,11,11],"intervals":[{"from_index":32,"to_index":772,"sum":270476,"residue":376},{"from_index":772,"to_index":1512,"sum":276681,"residue":11},{"from_index":1512,"to_index":32,"sum":259891,"residue":11}],"minimal_cycle":[376,11,11],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":376,"start_interval_clock_positions":[32,772],"circle_positions":730,"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":[33,773,1513],"clock_positions":[33,773,1513],"native_values":[138,503,503],"rotation_degrees":5.351351351351352,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[138,503,503],"beta":{"interval_sums":[271057,276532,260107],"interval_residues":[227,592,227],"display_cycle":[227,592,227],"intervals":[{"from_index":33,"to_index":773,"sum":271057,"residue":227},{"from_index":773,"to_index":1513,"sum":276532,"residue":592},{"from_index":1513,"to_index":33,"sum":260107,"residue":227}],"minimal_cycle":[227,592,227],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":227,"start_interval_clock_positions":[33,773],"circle_positions":730,"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":[34,774,1514],"clock_positions":[34,774,1514],"native_values":[127,492,127],"rotation_degrees":5.513513513513513,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,492,127],"beta":{"interval_sums":[271433,276543,260118],"interval_residues":[603,603,238],"display_cycle":[603,603,238],"intervals":[{"from_index":34,"to_index":774,"sum":271433,"residue":603},{"from_index":774,"to_index":1514,"sum":276543,"residue":603},{"from_index":1514,"to_index":34,"sum":260118,"residue":238}],"minimal_cycle":[603,603,238],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":603,"start_interval_clock_positions":[34,774],"circle_positions":730,"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":[35,775,1515],"clock_positions":[35,775,1515],"native_values":[265,265,630],"rotation_degrees":5.675675675675675,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,265,630],"beta":{"interval_sums":[271660,276405,259615],"interval_residues":[100,465,465],"display_cycle":[100,465,465],"intervals":[{"from_index":35,"to_index":775,"sum":271660,"residue":100},{"from_index":775,"to_index":1515,"sum":276405,"residue":465},{"from_index":1515,"to_index":35,"sum":259615,"residue":465}],"minimal_cycle":[100,465,465],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":100,"start_interval_clock_positions":[35,775],"circle_positions":730,"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":[36,776,1516],"clock_positions":[36,776,1516],"native_values":[392,27,27],"rotation_degrees":5.837837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[392,27,27],"beta":{"interval_sums":[271533,277008,259853],"interval_residues":[703,338,703],"display_cycle":[703,338,703],"intervals":[{"from_index":36,"to_index":776,"sum":271533,"residue":703},{"from_index":776,"to_index":1516,"sum":277008,"residue":338},{"from_index":1516,"to_index":36,"sum":259853,"residue":703}],"minimal_cycle":[703,338,703],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":703,"start_interval_clock_positions":[36,776],"circle_positions":730,"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":[37,777,1517],"clock_positions":[37,777,1517],"native_values":[657,292,657],"rotation_degrees":6.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,292,657],"beta":{"interval_sums":[270903,276743,259588],"interval_residues":[73,73,438],"display_cycle":[73,73,438],"intervals":[{"from_index":37,"to_index":777,"sum":270903,"residue":73},{"from_index":777,"to_index":1517,"sum":276743,"residue":73},{"from_index":1517,"to_index":37,"sum":259588,"residue":438}],"minimal_cycle":[73,73,438],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":73,"start_interval_clock_positions":[37,777],"circle_positions":730,"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":[38,778,1518],"clock_positions":[38,778,1518],"native_values":[319,319,684],"rotation_degrees":6.162162162162162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[319,319,684],"beta":{"interval_sums":[270876,277081,259561],"interval_residues":[46,411,411],"display_cycle":[46,411,411],"intervals":[{"from_index":38,"to_index":778,"sum":270876,"residue":46},{"from_index":778,"to_index":1518,"sum":277081,"residue":411},{"from_index":1518,"to_index":38,"sum":259561,"residue":411}],"minimal_cycle":[46,411,411],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[38,778],"circle_positions":730,"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":[39,779,1519],"clock_positions":[39,779,1519],"native_values":[246,611,611],"rotation_degrees":6.324324324324325,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[246,611,611],"beta":{"interval_sums":[270949,277154,259269],"interval_residues":[119,484,119],"display_cycle":[119,484,119],"intervals":[{"from_index":39,"to_index":779,"sum":270949,"residue":119},{"from_index":779,"to_index":1519,"sum":277154,"residue":484},{"from_index":1519,"to_index":39,"sum":259269,"residue":119}],"minimal_cycle":[119,484,119],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":119,"start_interval_clock_positions":[39,779],"circle_positions":730,"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":[40,780,1520],"clock_positions":[40,780,1520],"native_values":[565,200,565],"rotation_degrees":6.486486486486487,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,200,565],"beta":{"interval_sums":[270995,277565,258950],"interval_residues":[165,165,530],"display_cycle":[165,165,530],"intervals":[{"from_index":40,"to_index":780,"sum":270995,"residue":165},{"from_index":780,"to_index":1520,"sum":277565,"residue":165},{"from_index":1520,"to_index":40,"sum":258950,"residue":530}],"minimal_cycle":[165,165,530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":165,"start_interval_clock_positions":[40,780],"circle_positions":730,"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":[41,781,1521],"clock_positions":[41,781,1521],"native_values":[81,81,446],"rotation_degrees":6.648648648648648,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,81,446],"beta":{"interval_sums":[271114,278049,259069],"interval_residues":[284,649,649],"display_cycle":[284,649,649],"intervals":[{"from_index":41,"to_index":781,"sum":271114,"residue":284},{"from_index":781,"to_index":1521,"sum":278049,"residue":649},{"from_index":1521,"to_index":41,"sum":259069,"residue":649}],"minimal_cycle":[284,649,649],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":284,"start_interval_clock_positions":[41,781],"circle_positions":730,"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":[42,782,1522],"clock_positions":[42,782,1522],"native_values":[646,281,281],"rotation_degrees":6.8108108108108105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[646,281,281],"beta":{"interval_sums":[270549,278214,258869],"interval_residues":[449,84,449],"display_cycle":[449,84,449],"intervals":[{"from_index":42,"to_index":782,"sum":270549,"residue":449},{"from_index":782,"to_index":1522,"sum":278214,"residue":84},{"from_index":1522,"to_index":42,"sum":258869,"residue":449}],"minimal_cycle":[449,84,449],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":449,"start_interval_clock_positions":[42,782],"circle_positions":730,"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":[43,783,1523],"clock_positions":[43,783,1523],"native_values":[727,362,727],"rotation_degrees":6.972972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[727,362,727],"beta":{"interval_sums":[270103,278133,258788],"interval_residues":[3,3,368],"display_cycle":[3,3,368],"intervals":[{"from_index":43,"to_index":783,"sum":270103,"residue":3},{"from_index":783,"to_index":1523,"sum":278133,"residue":3},{"from_index":1523,"to_index":43,"sum":258788,"residue":368}],"minimal_cycle":[3,3,368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":3,"start_interval_clock_positions":[43,783],"circle_positions":730,"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":[44,784,1524],"clock_positions":[44,784,1524],"native_values":[643,643,278],"rotation_degrees":7.135135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[643,643,278],"beta":{"interval_sums":[269822,278217,259237],"interval_residues":[452,87,87],"display_cycle":[452,87,87],"intervals":[{"from_index":44,"to_index":784,"sum":269822,"residue":452},{"from_index":784,"to_index":1524,"sum":278217,"residue":87},{"from_index":1524,"to_index":44,"sum":259237,"residue":87}],"minimal_cycle":[452,87,87],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[44,784],"circle_positions":730,"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":[45,785,1525],"clock_positions":[45,785,1525],"native_values":[640,275,275],"rotation_degrees":7.297297297297297,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[640,275,275],"beta":{"interval_sums":[269825,278220,259605],"interval_residues":[455,90,455],"display_cycle":[455,90,455],"intervals":[{"from_index":45,"to_index":785,"sum":269825,"residue":455},{"from_index":785,"to_index":1525,"sum":278220,"residue":90},{"from_index":1525,"to_index":45,"sum":259605,"residue":455}],"minimal_cycle":[455,90,455],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":455,"start_interval_clock_positions":[45,785],"circle_positions":730,"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":[46,786,1526],"clock_positions":[46,786,1526],"native_values":[553,188,553],"rotation_degrees":7.45945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[553,188,553],"beta":{"interval_sums":[269547,278307,259692],"interval_residues":[177,177,542],"display_cycle":[177,177,542],"intervals":[{"from_index":46,"to_index":786,"sum":269547,"residue":177},{"from_index":786,"to_index":1526,"sum":278307,"residue":177},{"from_index":1526,"to_index":46,"sum":259692,"residue":542}],"minimal_cycle":[177,177,542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":177,"start_interval_clock_positions":[46,786],"circle_positions":730,"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":[47,787,1527],"clock_positions":[47,787,1527],"native_values":[463,463,98],"rotation_degrees":7.621621621621622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[463,463,98],"beta":{"interval_sums":[269272,278397,260147],"interval_residues":[632,267,267],"display_cycle":[632,267,267],"intervals":[{"from_index":47,"to_index":787,"sum":269272,"residue":632},{"from_index":787,"to_index":1527,"sum":278397,"residue":267},{"from_index":1527,"to_index":47,"sum":260147,"residue":267}],"minimal_cycle":[632,267,267],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":632,"start_interval_clock_positions":[47,787],"circle_positions":730,"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":[48,788,1528],"clock_positions":[48,788,1528],"native_values":[286,651,651],"rotation_degrees":7.783783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[286,651,651],"beta":{"interval_sums":[269449,277844,259959],"interval_residues":[79,444,79],"display_cycle":[79,444,79],"intervals":[{"from_index":48,"to_index":788,"sum":269449,"residue":79},{"from_index":788,"to_index":1528,"sum":277844,"residue":444},{"from_index":1528,"to_index":48,"sum":259959,"residue":79}],"minimal_cycle":[79,444,79],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":79,"start_interval_clock_positions":[48,788],"circle_positions":730,"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":[49,789,1529],"clock_positions":[49,789,1529],"native_values":[19,384,19],"rotation_degrees":7.945945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[19,384,19],"beta":{"interval_sums":[270081,278111,260226],"interval_residues":[711,711,346],"display_cycle":[711,711,346],"intervals":[{"from_index":49,"to_index":789,"sum":270081,"residue":711},{"from_index":789,"to_index":1529,"sum":278111,"residue":711},{"from_index":1529,"to_index":49,"sum":260226,"residue":346}],"minimal_cycle":[711,711,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":711,"start_interval_clock_positions":[49,789],"circle_positions":730,"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":[50,790,1530],"clock_positions":[50,790,1530],"native_values":[305,305,670],"rotation_degrees":8.108108108108109,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,305,670],"beta":{"interval_sums":[270160,277825,259575],"interval_residues":[60,425,425],"display_cycle":[60,425,425],"intervals":[{"from_index":50,"to_index":790,"sum":270160,"residue":60},{"from_index":790,"to_index":1530,"sum":277825,"residue":425},{"from_index":1530,"to_index":50,"sum":259575,"residue":425}],"minimal_cycle":[60,425,425],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[50,790],"circle_positions":730,"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":[51,791,1531],"clock_positions":[51,791,1531],"native_values":[324,689,689],"rotation_degrees":8.27027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[324,689,689],"beta":{"interval_sums":[270141,277806,259191],"interval_residues":[41,406,41],"display_cycle":[41,406,41],"intervals":[{"from_index":51,"to_index":791,"sum":270141,"residue":41},{"from_index":791,"to_index":1531,"sum":277806,"residue":406},{"from_index":1531,"to_index":51,"sum":259191,"residue":41}],"minimal_cycle":[41,406,41],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":41,"start_interval_clock_positions":[51,791],"circle_positions":730,"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":[52,792,1532],"clock_positions":[52,792,1532],"native_values":[629,264,629],"rotation_degrees":8.432432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[629,264,629],"beta":{"interval_sums":[270201,278231,258886],"interval_residues":[101,101,466],"display_cycle":[101,101,466],"intervals":[{"from_index":52,"to_index":792,"sum":270201,"residue":101},{"from_index":792,"to_index":1532,"sum":278231,"residue":101},{"from_index":1532,"to_index":52,"sum":258886,"residue":466}],"minimal_cycle":[101,101,466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":101,"start_interval_clock_positions":[52,792],"circle_positions":730,"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":[53,793,1533],"clock_positions":[53,793,1533],"native_values":[223,223,588],"rotation_degrees":8.594594594594595,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,223,588],"beta":{"interval_sums":[270242,278637,258927],"interval_residues":[142,507,507],"display_cycle":[142,507,507],"intervals":[{"from_index":53,"to_index":793,"sum":270242,"residue":142},{"from_index":793,"to_index":1533,"sum":278637,"residue":507},{"from_index":1533,"to_index":53,"sum":258927,"residue":507}],"minimal_cycle":[142,507,507],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":142,"start_interval_clock_positions":[53,793],"circle_positions":730,"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":[54,794,1534],"clock_positions":[54,794,1534],"native_values":[122,487,487],"rotation_degrees":8.756756756756756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[122,487,487],"beta":{"interval_sums":[270343,278738,258663],"interval_residues":[243,608,243],"display_cycle":[243,608,243],"intervals":[{"from_index":54,"to_index":794,"sum":270343,"residue":243},{"from_index":794,"to_index":1534,"sum":278738,"residue":608},{"from_index":1534,"to_index":54,"sum":258663,"residue":243}],"minimal_cycle":[243,608,243],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":243,"start_interval_clock_positions":[54,794],"circle_positions":730,"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":[55,795,1535],"clock_positions":[55,795,1535],"native_values":[345,710,345],"rotation_degrees":8.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,710,345],"beta":{"interval_sums":[270485,278515,258440],"interval_residues":[385,385,20],"display_cycle":[385,385,20],"intervals":[{"from_index":55,"to_index":795,"sum":270485,"residue":385},{"from_index":795,"to_index":1535,"sum":278515,"residue":385},{"from_index":1535,"to_index":55,"sum":258440,"residue":20}],"minimal_cycle":[385,385,20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":385,"start_interval_clock_positions":[55,795],"circle_positions":730,"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":[56,796,1536],"clock_positions":[56,796,1536],"native_values":[467,467,102],"rotation_degrees":9.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[467,467,102],"beta":{"interval_sums":[270728,278393,258683],"interval_residues":[628,263,263],"display_cycle":[628,263,263],"intervals":[{"from_index":56,"to_index":796,"sum":270728,"residue":628},{"from_index":796,"to_index":1536,"sum":278393,"residue":263},{"from_index":1536,"to_index":56,"sum":258683,"residue":263}],"minimal_cycle":[628,263,263],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[56,796],"circle_positions":730,"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":[57,797,1537],"clock_positions":[57,797,1537],"native_values":[82,447,447],"rotation_degrees":9.243243243243244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[82,447,447],"beta":{"interval_sums":[271113,278048,258703],"interval_residues":[283,648,283],"display_cycle":[283,648,283],"intervals":[{"from_index":57,"to_index":797,"sum":271113,"residue":283},{"from_index":797,"to_index":1537,"sum":278048,"residue":648},{"from_index":1537,"to_index":57,"sum":258703,"residue":283}],"minimal_cycle":[283,648,283],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":283,"start_interval_clock_positions":[57,797],"circle_positions":730,"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":[58,798,1538],"clock_positions":[58,798,1538],"native_values":[549,184,549],"rotation_degrees":9.405405405405405,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[549,184,549],"beta":{"interval_sums":[271011,278311,258236],"interval_residues":[181,181,546],"display_cycle":[181,181,546],"intervals":[{"from_index":58,"to_index":798,"sum":271011,"residue":181},{"from_index":798,"to_index":1538,"sum":278311,"residue":181},{"from_index":1538,"to_index":58,"sum":258236,"residue":546}],"minimal_cycle":[181,181,546],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":181,"start_interval_clock_positions":[58,798],"circle_positions":730,"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":[59,799,1539],"clock_positions":[59,799,1539],"native_values":[631,631,266],"rotation_degrees":9.567567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[631,631,266],"beta":{"interval_sums":[270564,278229,258519],"interval_residues":[464,99,99],"display_cycle":[464,99,99],"intervals":[{"from_index":59,"to_index":799,"sum":270564,"residue":464},{"from_index":799,"to_index":1539,"sum":278229,"residue":99},{"from_index":1539,"to_index":59,"sum":258519,"residue":99}],"minimal_cycle":[464,99,99],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":464,"start_interval_clock_positions":[59,799],"circle_positions":730,"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":[60,800,1540],"clock_positions":[60,800,1540],"native_values":[450,85,85],"rotation_degrees":9.72972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[450,85,85],"beta":{"interval_sums":[270745,278410,259065],"interval_residues":[645,280,645],"display_cycle":[645,280,645],"intervals":[{"from_index":60,"to_index":800,"sum":270745,"residue":645},{"from_index":800,"to_index":1540,"sum":278410,"residue":280},{"from_index":1540,"to_index":60,"sum":259065,"residue":645}],"minimal_cycle":[645,280,645],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":645,"start_interval_clock_positions":[60,800],"circle_positions":730,"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":[61,801,1541],"clock_positions":[61,801,1541],"native_values":[351,716,351],"rotation_degrees":9.891891891891891,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,716,351],"beta":{"interval_sums":[270479,277779,259164],"interval_residues":[379,379,14],"display_cycle":[379,379,14],"intervals":[{"from_index":61,"to_index":801,"sum":270479,"residue":379},{"from_index":801,"to_index":1541,"sum":277779,"residue":379},{"from_index":1541,"to_index":61,"sum":259164,"residue":14}],"minimal_cycle":[379,379,14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":379,"start_interval_clock_positions":[61,801],"circle_positions":730,"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":[62,802,1542],"clock_positions":[62,802,1542],"native_values":[71,71,436],"rotation_degrees":10.054054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[71,71,436],"beta":{"interval_sums":[271124,278059,259079],"interval_residues":[294,659,659],"display_cycle":[294,659,659],"intervals":[{"from_index":62,"to_index":802,"sum":271124,"residue":294},{"from_index":802,"to_index":1542,"sum":278059,"residue":659},{"from_index":1542,"to_index":62,"sum":259079,"residue":659}],"minimal_cycle":[294,659,659],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[62,802],"circle_positions":730,"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":[63,803,1543],"clock_positions":[63,803,1543],"native_values":[422,57,57],"rotation_degrees":10.216216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[422,57,57],"beta":{"interval_sums":[270773,278438,259093],"interval_residues":[673,308,673],"display_cycle":[673,308,673],"intervals":[{"from_index":63,"to_index":803,"sum":270773,"residue":673},{"from_index":803,"to_index":1543,"sum":278438,"residue":308},{"from_index":1543,"to_index":63,"sum":259093,"residue":673}],"minimal_cycle":[673,308,673],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":673,"start_interval_clock_positions":[63,803],"circle_positions":730,"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":[64,804,1544],"clock_positions":[64,804,1544],"native_values":[493,128,493],"rotation_degrees":10.378378378378379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[493,128,493],"beta":{"interval_sums":[270337,278367,259022],"interval_residues":[237,237,602],"display_cycle":[237,237,602],"intervals":[{"from_index":64,"to_index":804,"sum":270337,"residue":237},{"from_index":804,"to_index":1544,"sum":278367,"residue":237},{"from_index":1544,"to_index":64,"sum":259022,"residue":602}],"minimal_cycle":[237,237,602],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":237,"start_interval_clock_positions":[64,804],"circle_positions":730,"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":[65,805,1545],"clock_positions":[65,805,1545],"native_values":[185,185,550],"rotation_degrees":10.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[185,185,550],"beta":{"interval_sums":[270280,278675,258965],"interval_residues":[180,545,545],"display_cycle":[180,545,545],"intervals":[{"from_index":65,"to_index":805,"sum":270280,"residue":180},{"from_index":805,"to_index":1545,"sum":278675,"residue":545},{"from_index":1545,"to_index":65,"sum":258965,"residue":545}],"minimal_cycle":[180,545,545],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[65,805],"circle_positions":730,"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":[66,806,1546],"clock_positions":[66,806,1546],"native_values":[678,313,313],"rotation_degrees":10.702702702702704,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[678,313,313],"beta":{"interval_sums":[269787,278912,258837],"interval_residues":[417,52,417],"display_cycle":[417,52,417],"intervals":[{"from_index":66,"to_index":806,"sum":269787,"residue":417},{"from_index":806,"to_index":1546,"sum":278912,"residue":52},{"from_index":1546,"to_index":66,"sum":258837,"residue":417}],"minimal_cycle":[417,52,417],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":417,"start_interval_clock_positions":[66,806],"circle_positions":730,"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":[67,807,1547],"clock_positions":[67,807,1547],"native_values":[133,498,133],"rotation_degrees":10.864864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,498,133],"beta":{"interval_sums":[269967,278727,259382],"interval_residues":[597,597,232],"display_cycle":[597,597,232],"intervals":[{"from_index":67,"to_index":807,"sum":269967,"residue":597},{"from_index":807,"to_index":1547,"sum":278727,"residue":597},{"from_index":1547,"to_index":67,"sum":259382,"residue":232}],"minimal_cycle":[597,597,232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":597,"start_interval_clock_positions":[67,807],"circle_positions":730,"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":[68,808,1548],"clock_positions":[68,808,1548],"native_values":[81,81,446],"rotation_degrees":11.027027027027026,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,81,446],"beta":{"interval_sums":[270384,278779,259069],"interval_residues":[284,649,649],"display_cycle":[284,649,649],"intervals":[{"from_index":68,"to_index":808,"sum":270384,"residue":284},{"from_index":808,"to_index":1548,"sum":278779,"residue":649},{"from_index":1548,"to_index":68,"sum":259069,"residue":649}],"minimal_cycle":[284,649,649],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":284,"start_interval_clock_positions":[68,808],"circle_positions":730,"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":[69,809,1549],"clock_positions":[69,809,1549],"native_values":[214,579,579],"rotation_degrees":11.18918918918919,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[214,579,579],"beta":{"interval_sums":[270251,278646,258571],"interval_residues":[151,516,151],"display_cycle":[151,516,151],"intervals":[{"from_index":69,"to_index":809,"sum":270251,"residue":151},{"from_index":809,"to_index":1549,"sum":278646,"residue":516},{"from_index":1549,"to_index":69,"sum":258571,"residue":151}],"minimal_cycle":[151,516,151],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":151,"start_interval_clock_positions":[69,809],"circle_positions":730,"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":[70,810,1550],"clock_positions":[70,810,1550],"native_values":[295,660,295],"rotation_degrees":11.35135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,660,295],"beta":{"interval_sums":[270535,278565,258490],"interval_residues":[435,435,70],"display_cycle":[435,435,70],"intervals":[{"from_index":70,"to_index":810,"sum":270535,"residue":435},{"from_index":810,"to_index":1550,"sum":278565,"residue":435},{"from_index":1550,"to_index":70,"sum":258490,"residue":70}],"minimal_cycle":[435,435,70],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":435,"start_interval_clock_positions":[70,810],"circle_positions":730,"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":[71,811,1551],"clock_positions":[71,811,1551],"native_values":[509,509,144],"rotation_degrees":11.513513513513514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[509,509,144],"beta":{"interval_sums":[270686,278351,258641],"interval_residues":[586,221,221],"display_cycle":[586,221,221],"intervals":[{"from_index":71,"to_index":811,"sum":270686,"residue":586},{"from_index":811,"to_index":1551,"sum":278351,"residue":221},{"from_index":1551,"to_index":71,"sum":258641,"residue":221}],"minimal_cycle":[586,221,221],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[71,811],"circle_positions":730,"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":[72,812,1552],"clock_positions":[72,812,1552],"native_values":[74,439,439],"rotation_degrees":11.675675675675675,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[74,439,439],"beta":{"interval_sums":[271121,278056,258711],"interval_residues":[291,656,291],"display_cycle":[291,656,291],"intervals":[{"from_index":72,"to_index":812,"sum":271121,"residue":291},{"from_index":812,"to_index":1552,"sum":278056,"residue":656},{"from_index":1552,"to_index":72,"sum":258711,"residue":291}],"minimal_cycle":[291,656,291],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":291,"start_interval_clock_positions":[72,812],"circle_positions":730,"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":[73,813,1553],"clock_positions":[73,813,1553],"native_values":[583,218,583],"rotation_degrees":11.837837837837839,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[583,218,583],"beta":{"interval_sums":[270977,278277,258202],"interval_residues":[147,147,512],"display_cycle":[147,147,512],"intervals":[{"from_index":73,"to_index":813,"sum":270977,"residue":147},{"from_index":813,"to_index":1553,"sum":278277,"residue":147},{"from_index":1553,"to_index":73,"sum":258202,"residue":512}],"minimal_cycle":[147,147,512],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":147,"start_interval_clock_positions":[73,813],"circle_positions":730,"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":[74,814,1554],"clock_positions":[74,814,1554],"native_values":[657,657,292],"rotation_degrees":12.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,657,292],"beta":{"interval_sums":[270538,278203,258493],"interval_residues":[438,73,73],"display_cycle":[438,73,73],"intervals":[{"from_index":74,"to_index":814,"sum":270538,"residue":438},{"from_index":814,"to_index":1554,"sum":278203,"residue":73},{"from_index":1554,"to_index":74,"sum":258493,"residue":73}],"minimal_cycle":[438,73,73],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":438,"start_interval_clock_positions":[74,814],"circle_positions":730,"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":[75,815,1555],"clock_positions":[75,815,1555],"native_values":[510,145,145],"rotation_degrees":12.162162162162161,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[510,145,145],"beta":{"interval_sums":[270685,278350,259005],"interval_residues":[585,220,585],"display_cycle":[585,220,585],"intervals":[{"from_index":75,"to_index":815,"sum":270685,"residue":585},{"from_index":815,"to_index":1555,"sum":278350,"residue":220},{"from_index":1555,"to_index":75,"sum":259005,"residue":585}],"minimal_cycle":[585,220,585],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":585,"start_interval_clock_positions":[75,815],"circle_positions":730,"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":[76,816,1556],"clock_positions":[76,816,1556],"native_values":[437,72,437],"rotation_degrees":12.324324324324325,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[437,72,437],"beta":{"interval_sums":[270393,278423,259078],"interval_residues":[293,293,658],"display_cycle":[293,293,658],"intervals":[{"from_index":76,"to_index":816,"sum":270393,"residue":293},{"from_index":816,"to_index":1556,"sum":278423,"residue":293},{"from_index":1556,"to_index":76,"sum":259078,"residue":658}],"minimal_cycle":[293,293,658],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":293,"start_interval_clock_positions":[76,816],"circle_positions":730,"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":[77,817,1557],"clock_positions":[77,817,1557],"native_values":[217,217,582],"rotation_degrees":12.486486486486486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[217,217,582],"beta":{"interval_sums":[270248,278643,258933],"interval_residues":[148,513,513],"display_cycle":[148,513,513],"intervals":[{"from_index":77,"to_index":817,"sum":270248,"residue":148},{"from_index":817,"to_index":1557,"sum":278643,"residue":513},{"from_index":1557,"to_index":77,"sum":258933,"residue":513}],"minimal_cycle":[148,513,513],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[77,817],"circle_positions":730,"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":[78,818,1558],"clock_positions":[78,818,1558],"native_values":[654,289,289],"rotation_degrees":12.64864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[654,289,289],"beta":{"interval_sums":[269811,278936,258861],"interval_residues":[441,76,441],"display_cycle":[441,76,441],"intervals":[{"from_index":78,"to_index":818,"sum":269811,"residue":441},{"from_index":818,"to_index":1558,"sum":278936,"residue":76},{"from_index":1558,"to_index":78,"sum":258861,"residue":441}],"minimal_cycle":[441,76,441],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":441,"start_interval_clock_positions":[78,818],"circle_positions":730,"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":[79,819,1559],"clock_positions":[79,819,1559],"native_values":[141,506,141],"rotation_degrees":12.81081081081081,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,506,141],"beta":{"interval_sums":[269959,278719,259374],"interval_residues":[589,589,224],"display_cycle":[589,589,224],"intervals":[{"from_index":79,"to_index":819,"sum":269959,"residue":589},{"from_index":819,"to_index":1559,"sum":278719,"residue":589},{"from_index":1559,"to_index":79,"sum":259374,"residue":224}],"minimal_cycle":[589,589,224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":589,"start_interval_clock_positions":[79,819],"circle_positions":730,"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":[80,820,1560],"clock_positions":[80,820,1560],"native_values":[65,65,430],"rotation_degrees":12.972972972972974,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,65,430],"beta":{"interval_sums":[270400,278795,259085],"interval_residues":[300,665,665],"display_cycle":[300,665,665],"intervals":[{"from_index":80,"to_index":820,"sum":270400,"residue":300},{"from_index":820,"to_index":1560,"sum":278795,"residue":665},{"from_index":1560,"to_index":80,"sum":259085,"residue":665}],"minimal_cycle":[300,665,665],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":300,"start_interval_clock_positions":[80,820],"circle_positions":730,"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":[81,821,1561],"clock_positions":[81,821,1561],"native_values":[206,571,571],"rotation_degrees":13.135135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[206,571,571],"beta":{"interval_sums":[270259,278654,258579],"interval_residues":[159,524,159],"display_cycle":[159,524,159],"intervals":[{"from_index":81,"to_index":821,"sum":270259,"residue":159},{"from_index":821,"to_index":1561,"sum":278654,"residue":524},{"from_index":1561,"to_index":81,"sum":258579,"residue":159}],"minimal_cycle":[159,524,159],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":159,"start_interval_clock_positions":[81,821],"circle_positions":730,"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":[82,822,1562],"clock_positions":[82,822,1562],"native_values":[271,636,271],"rotation_degrees":13.297297297297296,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[271,636,271],"beta":{"interval_sums":[270559,278589,258514],"interval_residues":[459,459,94],"display_cycle":[459,459,94],"intervals":[{"from_index":82,"to_index":822,"sum":270559,"residue":459},{"from_index":822,"to_index":1562,"sum":278589,"residue":459},{"from_index":1562,"to_index":82,"sum":258514,"residue":94}],"minimal_cycle":[459,459,94],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":459,"start_interval_clock_positions":[82,822],"circle_positions":730,"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":[83,823,1563],"clock_positions":[83,823,1563],"native_values":[477,477,112],"rotation_degrees":13.45945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,477,112],"beta":{"interval_sums":[270718,278383,258673],"interval_residues":[618,253,253],"display_cycle":[618,253,253],"intervals":[{"from_index":83,"to_index":823,"sum":270718,"residue":618},{"from_index":823,"to_index":1563,"sum":278383,"residue":253},{"from_index":1563,"to_index":83,"sum":258673,"residue":253}],"minimal_cycle":[618,253,253],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":618,"start_interval_clock_positions":[83,823],"circle_positions":730,"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":[84,824,1564],"clock_positions":[84,824,1564],"native_values":[18,383,383],"rotation_degrees":13.621621621621621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[18,383,383],"beta":{"interval_sums":[271177,278112,258767],"interval_residues":[347,712,347],"display_cycle":[347,712,347],"intervals":[{"from_index":84,"to_index":824,"sum":271177,"residue":347},{"from_index":824,"to_index":1564,"sum":278112,"residue":712},{"from_index":1564,"to_index":84,"sum":258767,"residue":347}],"minimal_cycle":[347,712,347],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":347,"start_interval_clock_positions":[84,824],"circle_positions":730,"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":[85,825,1565],"clock_positions":[85,825,1565],"native_values":[495,130,495],"rotation_degrees":13.783783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[495,130,495],"beta":{"interval_sums":[271065,278365,258290],"interval_residues":[235,235,600],"display_cycle":[235,235,600],"intervals":[{"from_index":85,"to_index":825,"sum":271065,"residue":235},{"from_index":825,"to_index":1565,"sum":278365,"residue":235},{"from_index":1565,"to_index":85,"sum":258290,"residue":600}],"minimal_cycle":[235,235,600],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":235,"start_interval_clock_positions":[85,825],"circle_positions":730,"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":[86,826,1566],"clock_positions":[86,826,1566],"native_values":[513,513,148],"rotation_degrees":13.945945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,513,148],"beta":{"interval_sums":[270682,278347,258637],"interval_residues":[582,217,217],"display_cycle":[582,217,217],"intervals":[{"from_index":86,"to_index":826,"sum":270682,"residue":582},{"from_index":826,"to_index":1566,"sum":278347,"residue":217},{"from_index":1566,"to_index":86,"sum":258637,"residue":217}],"minimal_cycle":[582,217,217],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":582,"start_interval_clock_positions":[86,826],"circle_positions":730,"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":[87,827,1567],"clock_positions":[87,827,1567],"native_values":[278,643,643],"rotation_degrees":14.108108108108109,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,643,643],"beta":{"interval_sums":[270917,277852,258507],"interval_residues":[87,452,87],"display_cycle":[87,452,87],"intervals":[{"from_index":87,"to_index":827,"sum":270917,"residue":87},{"from_index":827,"to_index":1567,"sum":277852,"residue":452},{"from_index":1567,"to_index":87,"sum":258507,"residue":87}],"minimal_cycle":[87,452,87],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":87,"start_interval_clock_positions":[87,827],"circle_positions":730,"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":[88,828,1568],"clock_positions":[88,828,1568],"native_values":[61,426,61],"rotation_degrees":14.27027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,426,61],"beta":{"interval_sums":[271499,278069,258724],"interval_residues":[669,669,304],"display_cycle":[669,669,304],"intervals":[{"from_index":88,"to_index":828,"sum":271499,"residue":669},{"from_index":828,"to_index":1568,"sum":278069,"residue":669},{"from_index":1568,"to_index":88,"sum":258724,"residue":304}],"minimal_cycle":[669,669,304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":669,"start_interval_clock_positions":[88,828],"circle_positions":730,"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":[89,829,1569],"clock_positions":[89,829,1569],"native_values":[339,339,704],"rotation_degrees":14.432432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[339,339,704],"beta":{"interval_sums":[271586,277791,258081],"interval_residues":[26,391,391],"display_cycle":[26,391,391],"intervals":[{"from_index":89,"to_index":829,"sum":271586,"residue":26},{"from_index":829,"to_index":1569,"sum":277791,"residue":391},{"from_index":1569,"to_index":89,"sum":258081,"residue":391}],"minimal_cycle":[26,391,391],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[89,829],"circle_positions":730,"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":[90,830,1570],"clock_positions":[90,830,1570],"native_values":[400,35,35],"rotation_degrees":14.594594594594595,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[400,35,35],"beta":{"interval_sums":[271525,278460,258385],"interval_residues":[695,330,695],"display_cycle":[695,330,695],"intervals":[{"from_index":90,"to_index":830,"sum":271525,"residue":695},{"from_index":830,"to_index":1570,"sum":278460,"residue":330},{"from_index":1570,"to_index":90,"sum":258385,"residue":695}],"minimal_cycle":[695,330,695],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":695,"start_interval_clock_positions":[90,830],"circle_positions":730,"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":[91,831,1571],"clock_positions":[91,831,1571],"native_values":[9,374,9],"rotation_degrees":14.756756756756756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,374,9],"beta":{"interval_sums":[271551,278121,258776],"interval_residues":[721,721,356],"display_cycle":[721,721,356],"intervals":[{"from_index":91,"to_index":831,"sum":271551,"residue":721},{"from_index":831,"to_index":1571,"sum":278121,"residue":721},{"from_index":1571,"to_index":91,"sum":258776,"residue":356}],"minimal_cycle":[721,721,356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":721,"start_interval_clock_positions":[91,831],"circle_positions":730,"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":[92,832,1572],"clock_positions":[92,832,1572],"native_values":[409,409,44],"rotation_degrees":14.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,409,44],"beta":{"interval_sums":[271516,277721,258741],"interval_residues":[686,321,321],"display_cycle":[686,321,321],"intervals":[{"from_index":92,"to_index":832,"sum":271516,"residue":686},{"from_index":832,"to_index":1572,"sum":277721,"residue":321},{"from_index":1572,"to_index":92,"sum":258741,"residue":321}],"minimal_cycle":[686,321,321],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":686,"start_interval_clock_positions":[92,832],"circle_positions":730,"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":[93,833,1573],"clock_positions":[93,833,1573],"native_values":[418,53,53],"rotation_degrees":15.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[418,53,53],"beta":{"interval_sums":[271507,277712,259097],"interval_residues":[677,312,677],"display_cycle":[677,312,677],"intervals":[{"from_index":93,"to_index":833,"sum":271507,"residue":677},{"from_index":833,"to_index":1573,"sum":277712,"residue":312},{"from_index":1573,"to_index":93,"sum":259097,"residue":677}],"minimal_cycle":[677,312,677],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":677,"start_interval_clock_positions":[93,833],"circle_positions":730,"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":[94,834,1574],"clock_positions":[94,834,1574],"native_values":[97,462,97],"rotation_degrees":15.243243243243244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[97,462,97],"beta":{"interval_sums":[271463,277303,259418],"interval_residues":[633,633,268],"display_cycle":[633,633,268],"intervals":[{"from_index":94,"to_index":834,"sum":271463,"residue":633},{"from_index":834,"to_index":1574,"sum":277303,"residue":633},{"from_index":1574,"to_index":94,"sum":259418,"residue":268}],"minimal_cycle":[633,633,268],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":633,"start_interval_clock_positions":[94,834],"circle_positions":730,"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":[95,835,1575],"clock_positions":[95,835,1575],"native_values":[515,515,150],"rotation_degrees":15.405405405405405,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[515,515,150],"beta":{"interval_sums":[271410,276885,259365],"interval_residues":[580,215,215],"display_cycle":[580,215,215],"intervals":[{"from_index":95,"to_index":835,"sum":271410,"residue":580},{"from_index":835,"to_index":1575,"sum":276885,"residue":215},{"from_index":1575,"to_index":95,"sum":259365,"residue":215}],"minimal_cycle":[580,215,215],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":580,"start_interval_clock_positions":[95,835],"circle_positions":730,"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":[96,836,1576],"clock_positions":[96,836,1576],"native_values":[612,247,247],"rotation_degrees":15.567567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[612,247,247],"beta":{"interval_sums":[271313,276788,259633],"interval_residues":[483,118,483],"display_cycle":[483,118,483],"intervals":[{"from_index":96,"to_index":836,"sum":271313,"residue":483},{"from_index":836,"to_index":1576,"sum":276788,"residue":118},{"from_index":1576,"to_index":96,"sum":259633,"residue":483}],"minimal_cycle":[483,118,483],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":483,"start_interval_clock_positions":[96,836],"circle_positions":730,"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":[97,837,1577],"clock_positions":[97,837,1577],"native_values":[397,32,397],"rotation_degrees":15.72972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,32,397],"beta":{"interval_sums":[271163,277003,259848],"interval_residues":[333,333,698],"display_cycle":[333,333,698],"intervals":[{"from_index":97,"to_index":837,"sum":271163,"residue":333},{"from_index":837,"to_index":1577,"sum":277003,"residue":333},{"from_index":1577,"to_index":97,"sum":259848,"residue":698}],"minimal_cycle":[333,333,698],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":333,"start_interval_clock_positions":[97,837],"circle_positions":730,"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":[98,838,1578],"clock_positions":[98,838,1578],"native_values":[279,279,644],"rotation_degrees":15.891891891891891,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,279,644],"beta":{"interval_sums":[270916,277121,259601],"interval_residues":[86,451,451],"display_cycle":[86,451,451],"intervals":[{"from_index":98,"to_index":838,"sum":270916,"residue":86},{"from_index":838,"to_index":1578,"sum":277121,"residue":451},{"from_index":1578,"to_index":98,"sum":259601,"residue":451}],"minimal_cycle":[86,451,451],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":86,"start_interval_clock_positions":[98,838],"circle_positions":730,"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":[99,839,1579],"clock_positions":[99,839,1579],"native_values":[676,311,311],"rotation_degrees":16.054054054054053,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[676,311,311],"beta":{"interval_sums":[270519,277454,259569],"interval_residues":[419,54,419],"display_cycle":[419,54,419],"intervals":[{"from_index":99,"to_index":839,"sum":270519,"residue":419},{"from_index":839,"to_index":1579,"sum":277454,"residue":54},{"from_index":1579,"to_index":99,"sum":259569,"residue":419}],"minimal_cycle":[419,54,419],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":419,"start_interval_clock_positions":[99,839],"circle_positions":730,"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":[100,840,1580],"clock_positions":[100,840,1580],"native_values":[225,590,225],"rotation_degrees":16.216216216216218,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[225,590,225],"beta":{"interval_sums":[270605,277175,260020],"interval_residues":[505,505,140],"display_cycle":[505,505,140],"intervals":[{"from_index":100,"to_index":840,"sum":270605,"residue":505},{"from_index":840,"to_index":1580,"sum":277175,"residue":505},{"from_index":1580,"to_index":100,"sum":260020,"residue":140}],"minimal_cycle":[505,505,140],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":505,"start_interval_clock_positions":[100,840],"circle_positions":730,"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":[101,841,1581],"clock_positions":[101,841,1581],"native_values":[171,171,536],"rotation_degrees":16.37837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,171,536],"beta":{"interval_sums":[271024,277229,259709],"interval_residues":[194,559,559],"display_cycle":[194,559,559],"intervals":[{"from_index":101,"to_index":841,"sum":271024,"residue":194},{"from_index":841,"to_index":1581,"sum":277229,"residue":559},{"from_index":1581,"to_index":101,"sum":259709,"residue":559}],"minimal_cycle":[194,559,559],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[101,841],"circle_positions":730,"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":[102,842,1582],"clock_positions":[102,842,1582],"native_values":[396,31,31],"rotation_degrees":16.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[396,31,31],"beta":{"interval_sums":[270799,277734,259849],"interval_residues":[699,334,699],"display_cycle":[699,334,699],"intervals":[{"from_index":102,"to_index":842,"sum":270799,"residue":699},{"from_index":842,"to_index":1582,"sum":277734,"residue":334},{"from_index":1582,"to_index":102,"sum":259849,"residue":699}],"minimal_cycle":[699,334,699],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":699,"start_interval_clock_positions":[102,842],"circle_positions":730,"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":[103,843,1583],"clock_positions":[103,843,1583],"native_values":[567,202,567],"rotation_degrees":16.7027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,202,567],"beta":{"interval_sums":[270263,277563,259678],"interval_residues":[163,163,528],"display_cycle":[163,163,528],"intervals":[{"from_index":103,"to_index":843,"sum":270263,"residue":163},{"from_index":843,"to_index":1583,"sum":277563,"residue":163},{"from_index":1583,"to_index":103,"sum":259678,"residue":528}],"minimal_cycle":[163,163,528],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":163,"start_interval_clock_positions":[103,843],"circle_positions":730,"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":[104,844,1584],"clock_positions":[104,844,1584],"native_values":[233,233,598],"rotation_degrees":16.864864864864863,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,233,598],"beta":{"interval_sums":[270232,277897,259647],"interval_residues":[132,497,497],"display_cycle":[132,497,497],"intervals":[{"from_index":104,"to_index":844,"sum":270232,"residue":132},{"from_index":844,"to_index":1584,"sum":277897,"residue":497},{"from_index":1584,"to_index":104,"sum":259647,"residue":497}],"minimal_cycle":[132,497,497],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[104,844],"circle_positions":730,"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":[105,845,1585],"clock_positions":[105,845,1585],"native_values":[70,435,435],"rotation_degrees":17.027027027027028,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[70,435,435],"beta":{"interval_sums":[270395,278060,259445],"interval_residues":[295,660,295],"display_cycle":[295,660,295],"intervals":[{"from_index":105,"to_index":845,"sum":270395,"residue":295},{"from_index":845,"to_index":1585,"sum":278060,"residue":660},{"from_index":1585,"to_index":105,"sum":259445,"residue":295}],"minimal_cycle":[295,660,295],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":295,"start_interval_clock_positions":[105,845],"circle_positions":730,"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":[106,846,1586],"clock_positions":[106,846,1586],"native_values":[303,668,303],"rotation_degrees":17.18918918918919,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[303,668,303],"beta":{"interval_sums":[270527,277827,259212],"interval_residues":[427,427,62],"display_cycle":[427,427,62],"intervals":[{"from_index":106,"to_index":846,"sum":270527,"residue":427},{"from_index":846,"to_index":1586,"sum":277827,"residue":427},{"from_index":1586,"to_index":106,"sum":259212,"residue":62}],"minimal_cycle":[427,427,62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":427,"start_interval_clock_positions":[106,846],"circle_positions":730,"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":[107,847,1587],"clock_positions":[107,847,1587],"native_values":[373,373,8],"rotation_degrees":17.35135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[373,373,8],"beta":{"interval_sums":[270822,277757,259507],"interval_residues":[722,357,357],"display_cycle":[722,357,357],"intervals":[{"from_index":107,"to_index":847,"sum":270822,"residue":722},{"from_index":847,"to_index":1587,"sum":277757,"residue":357},{"from_index":1587,"to_index":107,"sum":259507,"residue":357}],"minimal_cycle":[722,357,357],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":722,"start_interval_clock_positions":[107,847],"circle_positions":730,"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":[108,848,1588],"clock_positions":[108,848,1588],"native_values":[676,311,311],"rotation_degrees":17.513513513513512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[676,311,311],"beta":{"interval_sums":[270519,277454,259569],"interval_residues":[419,54,419],"display_cycle":[419,54,419],"intervals":[{"from_index":108,"to_index":848,"sum":270519,"residue":419},{"from_index":848,"to_index":1588,"sum":277454,"residue":54},{"from_index":1588,"to_index":108,"sum":259569,"residue":419}],"minimal_cycle":[419,54,419],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":419,"start_interval_clock_positions":[108,848],"circle_positions":730,"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":[109,849,1589],"clock_positions":[109,849,1589],"native_values":[319,684,319],"rotation_degrees":17.675675675675677,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[319,684,319],"beta":{"interval_sums":[270511,277081,259926],"interval_residues":[411,411,46],"display_cycle":[411,411,46],"intervals":[{"from_index":109,"to_index":849,"sum":270511,"residue":411},{"from_index":849,"to_index":1589,"sum":277081,"residue":411},{"from_index":1589,"to_index":109,"sum":259926,"residue":46}],"minimal_cycle":[411,411,46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":411,"start_interval_clock_positions":[109,849],"circle_positions":730,"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":[110,850,1590],"clock_positions":[110,850,1590],"native_values":[265,265,630],"rotation_degrees":17.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,265,630],"beta":{"interval_sums":[270930,277135,259615],"interval_residues":[100,465,465],"display_cycle":[100,465,465],"intervals":[{"from_index":110,"to_index":850,"sum":270930,"residue":100},{"from_index":850,"to_index":1590,"sum":277135,"residue":465},{"from_index":1590,"to_index":110,"sum":259615,"residue":465}],"minimal_cycle":[100,465,465],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":100,"start_interval_clock_positions":[110,850],"circle_positions":730,"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":[111,851,1591],"clock_positions":[111,851,1591],"native_values":[584,219,219],"rotation_degrees":18.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[584,219,219],"beta":{"interval_sums":[270611,277546,259661],"interval_residues":[511,146,511],"display_cycle":[511,146,511],"intervals":[{"from_index":111,"to_index":851,"sum":270611,"residue":511},{"from_index":851,"to_index":1591,"sum":277546,"residue":146},{"from_index":1591,"to_index":111,"sum":259661,"residue":511}],"minimal_cycle":[511,146,511],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":511,"start_interval_clock_positions":[111,851],"circle_positions":730,"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":[112,852,1592],"clock_positions":[112,852,1592],"native_values":[119,484,119],"rotation_degrees":18.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,484,119],"beta":{"interval_sums":[270711,277281,260126],"interval_residues":[611,611,246],"display_cycle":[611,611,246],"intervals":[{"from_index":112,"to_index":852,"sum":270711,"residue":611},{"from_index":852,"to_index":1592,"sum":277281,"residue":611},{"from_index":1592,"to_index":112,"sum":260126,"residue":246}],"minimal_cycle":[611,611,246],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":611,"start_interval_clock_positions":[112,852],"circle_positions":730,"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":[113,853,1593],"clock_positions":[113,853,1593],"native_values":[703,703,338],"rotation_degrees":18.324324324324323,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[703,703,338],"beta":{"interval_sums":[270492,276697,259907],"interval_residues":[392,27,27],"display_cycle":[392,27,27],"intervals":[{"from_index":113,"to_index":853,"sum":270492,"residue":392},{"from_index":853,"to_index":1593,"sum":276697,"residue":27},{"from_index":1593,"to_index":113,"sum":259907,"residue":27}],"minimal_cycle":[392,27,27],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[113,853],"circle_positions":730,"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":[114,854,1594],"clock_positions":[114,854,1594],"native_values":[92,457,457],"rotation_degrees":18.486486486486488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[92,457,457],"beta":{"interval_sums":[271103,276578,260153],"interval_residues":[273,638,273],"display_cycle":[273,638,273],"intervals":[{"from_index":114,"to_index":854,"sum":271103,"residue":273},{"from_index":854,"to_index":1594,"sum":276578,"residue":638},{"from_index":1594,"to_index":114,"sum":260153,"residue":273}],"minimal_cycle":[273,638,273],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":273,"start_interval_clock_positions":[114,854],"circle_positions":730,"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":[115,855,1595],"clock_positions":[115,855,1595],"native_values":[65,430,65],"rotation_degrees":18.64864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,430,65],"beta":{"interval_sums":[271495,276605,260180],"interval_residues":[665,665,300],"display_cycle":[665,665,300],"intervals":[{"from_index":115,"to_index":855,"sum":271495,"residue":665},{"from_index":855,"to_index":1595,"sum":276605,"residue":665},{"from_index":1595,"to_index":115,"sum":260180,"residue":300}],"minimal_cycle":[665,665,300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":665,"start_interval_clock_positions":[115,855],"circle_positions":730,"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":[116,856,1596],"clock_positions":[116,856,1596],"native_values":[157,157,522],"rotation_degrees":18.81081081081081,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,157,522],"beta":{"interval_sums":[271768,276513,259723],"interval_residues":[208,573,573],"display_cycle":[208,573,573],"intervals":[{"from_index":116,"to_index":856,"sum":271768,"residue":208},{"from_index":856,"to_index":1596,"sum":276513,"residue":573},{"from_index":1596,"to_index":116,"sum":259723,"residue":573}],"minimal_cycle":[208,573,573],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[116,856],"circle_positions":730,"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":[117,857,1597],"clock_positions":[117,857,1597],"native_values":[222,587,587],"rotation_degrees":18.972972972972972,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[222,587,587],"beta":{"interval_sums":[271703,276448,259293],"interval_residues":[143,508,143],"display_cycle":[143,508,143],"intervals":[{"from_index":117,"to_index":857,"sum":271703,"residue":143},{"from_index":857,"to_index":1597,"sum":276448,"residue":508},{"from_index":1597,"to_index":117,"sum":259293,"residue":143}],"minimal_cycle":[143,508,143],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":143,"start_interval_clock_positions":[117,857],"circle_positions":730,"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":[118,858,1598],"clock_positions":[118,858,1598],"native_values":[379,14,379],"rotation_degrees":19.135135135135137,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[379,14,379],"beta":{"interval_sums":[271911,277021,259136],"interval_residues":[351,351,716],"display_cycle":[351,351,716],"intervals":[{"from_index":118,"to_index":858,"sum":271911,"residue":351},{"from_index":858,"to_index":1598,"sum":277021,"residue":351},{"from_index":1598,"to_index":118,"sum":259136,"residue":716}],"minimal_cycle":[351,351,716],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":351,"start_interval_clock_positions":[118,858],"circle_positions":730,"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":[119,859,1599],"clock_positions":[119,859,1599],"native_values":[601,601,236],"rotation_degrees":19.2972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[601,601,236],"beta":{"interval_sums":[271324,276799,259279],"interval_residues":[494,129,129],"display_cycle":[494,129,129],"intervals":[{"from_index":119,"to_index":859,"sum":271324,"residue":494},{"from_index":859,"to_index":1599,"sum":276799,"residue":129},{"from_index":1599,"to_index":119,"sum":259279,"residue":129}],"minimal_cycle":[494,129,129],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":494,"start_interval_clock_positions":[119,859],"circle_positions":730,"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":[120,860,1600],"clock_positions":[120,860,1600],"native_values":[250,615,615],"rotation_degrees":19.45945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[250,615,615],"beta":{"interval_sums":[271675,276420,259265],"interval_residues":[115,480,115],"display_cycle":[115,480,115],"intervals":[{"from_index":120,"to_index":860,"sum":271675,"residue":115},{"from_index":860,"to_index":1600,"sum":276420,"residue":480},{"from_index":1600,"to_index":120,"sum":259265,"residue":115}],"minimal_cycle":[115,480,115],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":115,"start_interval_clock_positions":[120,860],"circle_positions":730,"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":[121,861,1601],"clock_positions":[121,861,1601],"native_values":[121,486,121],"rotation_degrees":19.62162162162162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[121,486,121],"beta":{"interval_sums":[272169,276549,259394],"interval_residues":[609,609,244],"display_cycle":[609,609,244],"intervals":[{"from_index":121,"to_index":861,"sum":272169,"residue":609},{"from_index":861,"to_index":1601,"sum":276549,"residue":609},{"from_index":1601,"to_index":121,"sum":259394,"residue":244}],"minimal_cycle":[609,609,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":609,"start_interval_clock_positions":[121,861],"circle_positions":730,"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":[122,862,1602],"clock_positions":[122,862,1602],"native_values":[371,371,6],"rotation_degrees":19.783783783783782,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[371,371,6],"beta":{"interval_sums":[272284,276299,259509],"interval_residues":[724,359,359],"display_cycle":[724,359,359],"intervals":[{"from_index":122,"to_index":862,"sum":272284,"residue":724},{"from_index":862,"to_index":1602,"sum":276299,"residue":359},{"from_index":1602,"to_index":122,"sum":259509,"residue":359}],"minimal_cycle":[724,359,359],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":724,"start_interval_clock_positions":[122,862],"circle_positions":730,"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":[123,863,1603],"clock_positions":[123,863,1603],"native_values":[492,127,127],"rotation_degrees":19.945945945945947,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,127,127],"beta":{"interval_sums":[272163,276178,259753],"interval_residues":[603,238,603],"display_cycle":[603,238,603],"intervals":[{"from_index":123,"to_index":863,"sum":272163,"residue":603},{"from_index":863,"to_index":1603,"sum":276178,"residue":238},{"from_index":1603,"to_index":123,"sum":259753,"residue":603}],"minimal_cycle":[603,238,603],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":603,"start_interval_clock_positions":[123,863],"circle_positions":730,"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":[124,864,1604],"clock_positions":[124,864,1604],"native_values":[133,498,133],"rotation_degrees":20.10810810810811,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,498,133],"beta":{"interval_sums":[272157,275807,260112],"interval_residues":[597,597,232],"display_cycle":[597,597,232],"intervals":[{"from_index":124,"to_index":864,"sum":272157,"residue":597},{"from_index":864,"to_index":1604,"sum":275807,"residue":597},{"from_index":1604,"to_index":124,"sum":260112,"residue":232}],"minimal_cycle":[597,597,232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":597,"start_interval_clock_positions":[124,864],"circle_positions":730,"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":[125,865,1605],"clock_positions":[125,865,1605],"native_values":[625,625,260],"rotation_degrees":20.27027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[625,625,260],"beta":{"interval_sums":[272030,275315,259985],"interval_residues":[470,105,105],"display_cycle":[470,105,105],"intervals":[{"from_index":125,"to_index":865,"sum":272030,"residue":470},{"from_index":865,"to_index":1605,"sum":275315,"residue":105},{"from_index":1605,"to_index":125,"sum":259985,"residue":105}],"minimal_cycle":[470,105,105],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[125,865],"circle_positions":730,"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":[126,866,1606],"clock_positions":[126,866,1606],"native_values":[28,393,393],"rotation_degrees":20.43243243243243,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[28,393,393],"beta":{"interval_sums":[272627,275182,260217],"interval_residues":[337,702,337],"display_cycle":[337,702,337],"intervals":[{"from_index":126,"to_index":866,"sum":272627,"residue":337},{"from_index":866,"to_index":1606,"sum":275182,"residue":702},{"from_index":1606,"to_index":126,"sum":260217,"residue":337}],"minimal_cycle":[337,702,337],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":337,"start_interval_clock_positions":[126,866],"circle_positions":730,"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":[127,867,1607],"clock_positions":[127,867,1607],"native_values":[653,288,653],"rotation_degrees":20.594594594594593,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,288,653],"beta":{"interval_sums":[272367,275287,259592],"interval_residues":[77,77,442],"display_cycle":[77,77,442],"intervals":[{"from_index":127,"to_index":867,"sum":272367,"residue":77},{"from_index":867,"to_index":1607,"sum":275287,"residue":77},{"from_index":1607,"to_index":127,"sum":259592,"residue":442}],"minimal_cycle":[77,77,442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":77,"start_interval_clock_positions":[127,867],"circle_positions":730,"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":[128,868,1608],"clock_positions":[128,868,1608],"native_values":[681,681,316],"rotation_degrees":20.756756756756758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[681,681,316],"beta":{"interval_sums":[271974,275259,259929],"interval_residues":[414,49,49],"display_cycle":[414,49,49],"intervals":[{"from_index":128,"to_index":868,"sum":271974,"residue":414},{"from_index":868,"to_index":1608,"sum":275259,"residue":49},{"from_index":1608,"to_index":128,"sum":259929,"residue":49}],"minimal_cycle":[414,49,49],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[128,868],"circle_positions":730,"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":[129,869,1609],"clock_positions":[129,869,1609],"native_values":[604,239,239],"rotation_degrees":20.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[604,239,239],"beta":{"interval_sums":[272051,275336,260371],"interval_residues":[491,126,491],"display_cycle":[491,126,491],"intervals":[{"from_index":129,"to_index":869,"sum":272051,"residue":491},{"from_index":869,"to_index":1609,"sum":275336,"residue":126},{"from_index":1609,"to_index":129,"sum":260371,"residue":491}],"minimal_cycle":[491,126,491],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":491,"start_interval_clock_positions":[129,869],"circle_positions":730,"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":[130,870,1610],"clock_positions":[130,870,1610],"native_values":[555,190,555],"rotation_degrees":21.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[555,190,555],"beta":{"interval_sums":[271735,275385,260420],"interval_residues":[175,175,540],"display_cycle":[175,175,540],"intervals":[{"from_index":130,"to_index":870,"sum":271735,"residue":175},{"from_index":870,"to_index":1610,"sum":275385,"residue":175},{"from_index":1610,"to_index":130,"sum":260420,"residue":540}],"minimal_cycle":[175,175,540],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":175,"start_interval_clock_positions":[130,870],"circle_positions":730,"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":[131,871,1611],"clock_positions":[131,871,1611],"native_values":[429,429,64],"rotation_degrees":21.243243243243242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,429,64],"beta":{"interval_sums":[271496,275511,260911],"interval_residues":[666,301,301],"display_cycle":[666,301,301],"intervals":[{"from_index":131,"to_index":871,"sum":271496,"residue":666},{"from_index":871,"to_index":1611,"sum":275511,"residue":301},{"from_index":1611,"to_index":131,"sum":260911,"residue":301}],"minimal_cycle":[666,301,301],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":666,"start_interval_clock_positions":[131,871],"circle_positions":730,"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":[132,872,1612],"clock_positions":[132,872,1612],"native_values":[254,619,619],"rotation_degrees":21.405405405405407,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[254,619,619],"beta":{"interval_sums":[271671,274956,260721],"interval_residues":[111,476,111],"display_cycle":[111,476,111],"intervals":[{"from_index":132,"to_index":872,"sum":271671,"residue":111},{"from_index":872,"to_index":1612,"sum":274956,"residue":476},{"from_index":1612,"to_index":132,"sum":260721,"residue":111}],"minimal_cycle":[111,476,111],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":111,"start_interval_clock_positions":[132,872],"circle_positions":730,"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":[133,873,1613],"clock_positions":[133,873,1613],"native_values":[683,318,683],"rotation_degrees":21.56756756756757,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[683,318,683],"beta":{"interval_sums":[271607,275257,260292],"interval_residues":[47,47,412],"display_cycle":[47,47,412],"intervals":[{"from_index":133,"to_index":873,"sum":271607,"residue":47},{"from_index":873,"to_index":1613,"sum":275257,"residue":47},{"from_index":1613,"to_index":133,"sum":260292,"residue":412}],"minimal_cycle":[47,47,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":47,"start_interval_clock_positions":[133,873],"circle_positions":730,"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":[134,874,1614],"clock_positions":[134,874,1614],"native_values":[207,207,572],"rotation_degrees":21.72972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[207,207,572],"beta":{"interval_sums":[271718,275733,260403],"interval_residues":[158,523,523],"display_cycle":[158,523,523],"intervals":[{"from_index":134,"to_index":874,"sum":271718,"residue":158},{"from_index":874,"to_index":1614,"sum":275733,"residue":523},{"from_index":1614,"to_index":134,"sum":260403,"residue":523}],"minimal_cycle":[158,523,523],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":158,"start_interval_clock_positions":[134,874],"circle_positions":730,"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":[135,875,1615],"clock_positions":[135,875,1615],"native_values":[160,525,525],"rotation_degrees":21.89189189189189,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[160,525,525],"beta":{"interval_sums":[271765,275780,260085],"interval_residues":[205,570,205],"display_cycle":[205,570,205],"intervals":[{"from_index":135,"to_index":875,"sum":271765,"residue":205},{"from_index":875,"to_index":1615,"sum":275780,"residue":570},{"from_index":1615,"to_index":135,"sum":260085,"residue":205}],"minimal_cycle":[205,570,205],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":205,"start_interval_clock_positions":[135,875],"circle_positions":730,"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":[136,876,1616],"clock_positions":[136,876,1616],"native_values":[367,2,367],"rotation_degrees":22.054054054054053,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[367,2,367],"beta":{"interval_sums":[271923,276303,259878],"interval_residues":[363,363,728],"display_cycle":[363,363,728],"intervals":[{"from_index":136,"to_index":876,"sum":271923,"residue":363},{"from_index":876,"to_index":1616,"sum":276303,"residue":363},{"from_index":1616,"to_index":136,"sum":259878,"residue":728}],"minimal_cycle":[363,363,728],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":363,"start_interval_clock_positions":[136,876],"circle_positions":730,"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":[137,877,1617],"clock_positions":[137,877,1617],"native_values":[527,527,162],"rotation_degrees":22.216216216216218,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,527,162],"beta":{"interval_sums":[271398,276143,260083],"interval_residues":[568,203,203],"display_cycle":[568,203,203],"intervals":[{"from_index":137,"to_index":877,"sum":271398,"residue":568},{"from_index":877,"to_index":1617,"sum":276143,"residue":203},{"from_index":1617,"to_index":137,"sum":260083,"residue":203}],"minimal_cycle":[568,203,203],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":568,"start_interval_clock_positions":[137,877],"circle_positions":730,"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":[138,878,1618],"clock_positions":[138,878,1618],"native_values":[164,529,529],"rotation_degrees":22.37837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[164,529,529],"beta":{"interval_sums":[271761,275776,260081],"interval_residues":[201,566,201],"display_cycle":[201,566,201],"intervals":[{"from_index":138,"to_index":878,"sum":271761,"residue":201},{"from_index":878,"to_index":1618,"sum":275776,"residue":566},{"from_index":1618,"to_index":138,"sum":260081,"residue":201}],"minimal_cycle":[201,566,201],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":201,"start_interval_clock_positions":[138,878],"circle_positions":730,"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":[139,879,1619],"clock_positions":[139,879,1619],"native_values":[691,326,691],"rotation_degrees":22.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,326,691],"beta":{"interval_sums":[271599,275979,259554],"interval_residues":[39,39,404],"display_cycle":[39,39,404],"intervals":[{"from_index":139,"to_index":879,"sum":271599,"residue":39},{"from_index":879,"to_index":1619,"sum":275979,"residue":39},{"from_index":1619,"to_index":139,"sum":259554,"residue":404}],"minimal_cycle":[39,39,404],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":39,"start_interval_clock_positions":[139,879],"circle_positions":730,"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":[140,880,1620],"clock_positions":[140,880,1620],"native_values":[125,125,490],"rotation_degrees":22.7027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,125,490],"beta":{"interval_sums":[271800,276545,259755],"interval_residues":[240,605,605],"display_cycle":[240,605,605],"intervals":[{"from_index":140,"to_index":880,"sum":271800,"residue":240},{"from_index":880,"to_index":1620,"sum":276545,"residue":605},{"from_index":1620,"to_index":140,"sum":259755,"residue":605}],"minimal_cycle":[240,605,605],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[140,880],"circle_positions":730,"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":[141,881,1621],"clock_positions":[141,881,1621],"native_values":[86,451,451],"rotation_degrees":22.864864864864863,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[86,451,451],"beta":{"interval_sums":[271839,276584,259429],"interval_residues":[279,644,279],"display_cycle":[279,644,279],"intervals":[{"from_index":141,"to_index":881,"sum":271839,"residue":279},{"from_index":881,"to_index":1621,"sum":276584,"residue":644},{"from_index":1621,"to_index":141,"sum":259429,"residue":279}],"minimal_cycle":[279,644,279],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":279,"start_interval_clock_positions":[141,881],"circle_positions":730,"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":[142,882,1622],"clock_positions":[142,882,1622],"native_values":[211,576,211],"rotation_degrees":23.027027027027028,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,576,211],"beta":{"interval_sums":[272079,276459,259304],"interval_residues":[519,519,154],"display_cycle":[519,519,154],"intervals":[{"from_index":142,"to_index":882,"sum":272079,"residue":519},{"from_index":882,"to_index":1622,"sum":276459,"residue":519},{"from_index":1622,"to_index":142,"sum":259304,"residue":154}],"minimal_cycle":[519,519,154],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":519,"start_interval_clock_positions":[142,882],"circle_positions":730,"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":[143,883,1623],"clock_positions":[143,883,1623],"native_values":[297,297,662],"rotation_degrees":23.18918918918919,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[297,297,662],"beta":{"interval_sums":[272358,276373,258853],"interval_residues":[68,433,433],"display_cycle":[68,433,433],"intervals":[{"from_index":143,"to_index":883,"sum":272358,"residue":68},{"from_index":883,"to_index":1623,"sum":276373,"residue":433},{"from_index":1623,"to_index":143,"sum":258853,"residue":433}],"minimal_cycle":[68,433,433],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":68,"start_interval_clock_positions":[143,883],"circle_positions":730,"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":[144,884,1624],"clock_positions":[144,884,1624],"native_values":[508,143,143],"rotation_degrees":23.35135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[508,143,143],"beta":{"interval_sums":[272147,276892,259007],"interval_residues":[587,222,587],"display_cycle":[587,222,587],"intervals":[{"from_index":144,"to_index":884,"sum":272147,"residue":587},{"from_index":884,"to_index":1624,"sum":276892,"residue":222},{"from_index":1624,"to_index":144,"sum":259007,"residue":587}],"minimal_cycle":[587,222,587],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":587,"start_interval_clock_positions":[144,884],"circle_positions":730,"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":[145,885,1625],"clock_positions":[145,885,1625],"native_values":[75,440,75],"rotation_degrees":23.513513513513512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,440,75],"beta":{"interval_sums":[272215,276595,259440],"interval_residues":[655,655,290],"display_cycle":[655,655,290],"intervals":[{"from_index":145,"to_index":885,"sum":272215,"residue":655},{"from_index":885,"to_index":1625,"sum":276595,"residue":655},{"from_index":1625,"to_index":145,"sum":259440,"residue":290}],"minimal_cycle":[655,655,290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":655,"start_interval_clock_positions":[145,885],"circle_positions":730,"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":[146,886,1626],"clock_positions":[146,886,1626],"native_values":[583,583,218],"rotation_degrees":23.675675675675677,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[583,583,218],"beta":{"interval_sums":[272072,276087,259297],"interval_residues":[512,147,147],"display_cycle":[512,147,147],"intervals":[{"from_index":146,"to_index":886,"sum":272072,"residue":512},{"from_index":886,"to_index":1626,"sum":276087,"residue":147},{"from_index":1626,"to_index":146,"sum":259297,"residue":147}],"minimal_cycle":[512,147,147],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":512,"start_interval_clock_positions":[146,886],"circle_positions":730,"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":[147,887,1627],"clock_positions":[147,887,1627],"native_values":[658,293,293],"rotation_degrees":23.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[658,293,293],"beta":{"interval_sums":[271997,276012,259587],"interval_residues":[437,72,437],"display_cycle":[437,72,437],"intervals":[{"from_index":147,"to_index":887,"sum":271997,"residue":437},{"from_index":887,"to_index":1627,"sum":276012,"residue":72},{"from_index":1627,"to_index":147,"sum":259587,"residue":437}],"minimal_cycle":[437,72,437],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":437,"start_interval_clock_positions":[147,887],"circle_positions":730,"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":[148,888,1628],"clock_positions":[148,888,1628],"native_values":[511,146,511],"rotation_degrees":24.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[511,146,511],"beta":{"interval_sums":[271779,276159,259734],"interval_residues":[219,219,584],"display_cycle":[219,219,584],"intervals":[{"from_index":148,"to_index":888,"sum":271779,"residue":219},{"from_index":888,"to_index":1628,"sum":276159,"residue":219},{"from_index":1628,"to_index":148,"sum":259734,"residue":584}],"minimal_cycle":[219,219,584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":219,"start_interval_clock_positions":[148,888],"circle_positions":730,"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":[149,889,1629],"clock_positions":[149,889,1629],"native_values":[439,439,74],"rotation_degrees":24.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[439,439,74],"beta":{"interval_sums":[271486,276231,260171],"interval_residues":[656,291,291],"display_cycle":[656,291,291],"intervals":[{"from_index":149,"to_index":889,"sum":271486,"residue":656},{"from_index":889,"to_index":1629,"sum":276231,"residue":291},{"from_index":1629,"to_index":149,"sum":260171,"residue":291}],"minimal_cycle":[656,291,291],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":656,"start_interval_clock_positions":[149,889],"circle_positions":730,"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":[150,890,1630],"clock_positions":[150,890,1630],"native_values":[220,585,585],"rotation_degrees":24.324324324324323,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[220,585,585],"beta":{"interval_sums":[271705,275720,260025],"interval_residues":[145,510,145],"display_cycle":[145,510,145],"intervals":[{"from_index":150,"to_index":890,"sum":271705,"residue":145},{"from_index":890,"to_index":1630,"sum":275720,"residue":510},{"from_index":1630,"to_index":150,"sum":260025,"residue":145}],"minimal_cycle":[145,510,145],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":145,"start_interval_clock_positions":[150,890],"circle_positions":730,"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":[151,891,1631],"clock_positions":[151,891,1631],"native_values":[659,294,659],"rotation_degrees":24.486486486486488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[659,294,659],"beta":{"interval_sums":[271631,276011,259586],"interval_residues":[71,71,436],"display_cycle":[71,71,436],"intervals":[{"from_index":151,"to_index":891,"sum":271631,"residue":71},{"from_index":891,"to_index":1631,"sum":276011,"residue":71},{"from_index":1631,"to_index":151,"sum":259586,"residue":436}],"minimal_cycle":[71,71,436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":71,"start_interval_clock_positions":[151,891],"circle_positions":730,"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":[152,892,1632],"clock_positions":[152,892,1632],"native_values":[149,149,514],"rotation_degrees":24.64864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,149,514],"beta":{"interval_sums":[271776,276521,259731],"interval_residues":[216,581,581],"display_cycle":[216,581,581],"intervals":[{"from_index":152,"to_index":892,"sum":271776,"residue":216},{"from_index":892,"to_index":1632,"sum":276521,"residue":581},{"from_index":1632,"to_index":152,"sum":259731,"residue":581}],"minimal_cycle":[216,581,581],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[152,892],"circle_positions":730,"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":[153,893,1633],"clock_positions":[153,893,1633],"native_values":[78,443,443],"rotation_degrees":24.81081081081081,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[78,443,443],"beta":{"interval_sums":[271847,276592,259437],"interval_residues":[287,652,287],"display_cycle":[287,652,287],"intervals":[{"from_index":153,"to_index":893,"sum":271847,"residue":287},{"from_index":893,"to_index":1633,"sum":276592,"residue":652},{"from_index":1633,"to_index":153,"sum":259437,"residue":287}],"minimal_cycle":[287,652,287],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":287,"start_interval_clock_positions":[153,893],"circle_positions":730,"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":[154,894,1634],"clock_positions":[154,894,1634],"native_values":[227,592,227],"rotation_degrees":24.972972972972972,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,592,227],"beta":{"interval_sums":[272063,276443,259288],"interval_residues":[503,503,138],"display_cycle":[503,503,138],"intervals":[{"from_index":154,"to_index":894,"sum":272063,"residue":503},{"from_index":894,"to_index":1634,"sum":276443,"residue":503},{"from_index":1634,"to_index":154,"sum":259288,"residue":138}],"minimal_cycle":[503,503,138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":503,"start_interval_clock_positions":[154,894],"circle_positions":730,"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":[155,895,1635],"clock_positions":[155,895,1635],"native_values":[305,305,670],"rotation_degrees":25.135135135135137,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,305,670],"beta":{"interval_sums":[272350,276365,258845],"interval_residues":[60,425,425],"display_cycle":[60,425,425],"intervals":[{"from_index":155,"to_index":895,"sum":272350,"residue":60},{"from_index":895,"to_index":1635,"sum":276365,"residue":425},{"from_index":1635,"to_index":155,"sum":258845,"residue":425}],"minimal_cycle":[60,425,425],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[155,895],"circle_positions":730,"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":[156,896,1636],"clock_positions":[156,896,1636],"native_values":[532,167,167],"rotation_degrees":25.2972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[532,167,167],"beta":{"interval_sums":[272123,276868,258983],"interval_residues":[563,198,563],"display_cycle":[563,198,563],"intervals":[{"from_index":156,"to_index":896,"sum":272123,"residue":563},{"from_index":896,"to_index":1636,"sum":276868,"residue":198},{"from_index":1636,"to_index":156,"sum":258983,"residue":563}],"minimal_cycle":[563,198,563],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":563,"start_interval_clock_positions":[156,896],"circle_positions":730,"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":[157,897,1637],"clock_positions":[157,897,1637],"native_values":[107,472,107],"rotation_degrees":25.45945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[107,472,107],"beta":{"interval_sums":[272183,276563,259408],"interval_residues":[623,623,258],"display_cycle":[623,623,258],"intervals":[{"from_index":157,"to_index":897,"sum":272183,"residue":623},{"from_index":897,"to_index":1637,"sum":276563,"residue":623},{"from_index":1637,"to_index":157,"sum":259408,"residue":258}],"minimal_cycle":[623,623,258],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":623,"start_interval_clock_positions":[157,897],"circle_positions":730,"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":[158,898,1638],"clock_positions":[158,898,1638],"native_values":[639,639,274],"rotation_degrees":25.62162162162162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[639,639,274],"beta":{"interval_sums":[272016,276031,259241],"interval_residues":[456,91,91],"display_cycle":[456,91,91],"intervals":[{"from_index":158,"to_index":898,"sum":272016,"residue":456},{"from_index":898,"to_index":1638,"sum":276031,"residue":91},{"from_index":1638,"to_index":158,"sum":259241,"residue":91}],"minimal_cycle":[456,91,91],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[158,898],"circle_positions":730,"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":[159,899,1639],"clock_positions":[159,899,1639],"native_values":[16,381,381],"rotation_degrees":25.783783783783782,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[16,381,381],"beta":{"interval_sums":[272639,275924,259499],"interval_residues":[349,714,349],"display_cycle":[349,714,349],"intervals":[{"from_index":159,"to_index":899,"sum":272639,"residue":349},{"from_index":899,"to_index":1639,"sum":275924,"residue":714},{"from_index":1639,"to_index":159,"sum":259499,"residue":349}],"minimal_cycle":[349,714,349],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":349,"start_interval_clock_positions":[159,899],"circle_positions":730,"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":[160,900,1640],"clock_positions":[160,900,1640],"native_values":[655,290,655],"rotation_degrees":25.945945945945947,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[655,290,655],"beta":{"interval_sums":[272365,276015,258860],"interval_residues":[75,75,440],"display_cycle":[75,75,440],"intervals":[{"from_index":160,"to_index":900,"sum":272365,"residue":75},{"from_index":900,"to_index":1640,"sum":276015,"residue":75},{"from_index":1640,"to_index":160,"sum":258860,"residue":440}],"minimal_cycle":[75,75,440],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":75,"start_interval_clock_positions":[160,900],"circle_positions":730,"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":[161,901,1641],"clock_positions":[161,901,1641],"native_values":[671,671,306],"rotation_degrees":26.10810810810811,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,671,306],"beta":{"interval_sums":[271984,275999,259209],"interval_residues":[424,59,59],"display_cycle":[424,59,59],"intervals":[{"from_index":161,"to_index":901,"sum":271984,"residue":424},{"from_index":901,"to_index":1641,"sum":275999,"residue":59},{"from_index":1641,"to_index":161,"sum":259209,"residue":59}],"minimal_cycle":[424,59,59],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[161,901],"circle_positions":730,"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":[162,902,1642],"clock_positions":[162,902,1642],"native_values":[596,231,231],"rotation_degrees":26.27027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[596,231,231],"beta":{"interval_sums":[272059,276074,259649],"interval_residues":[499,134,499],"display_cycle":[499,134,499],"intervals":[{"from_index":162,"to_index":902,"sum":272059,"residue":499},{"from_index":902,"to_index":1642,"sum":276074,"residue":134},{"from_index":1642,"to_index":162,"sum":259649,"residue":499}],"minimal_cycle":[499,134,499],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":499,"start_interval_clock_positions":[162,902],"circle_positions":730,"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":[163,903,1643],"clock_positions":[163,903,1643],"native_values":[537,172,537],"rotation_degrees":26.43243243243243,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[537,172,537],"beta":{"interval_sums":[271753,276133,259708],"interval_residues":[193,193,558],"display_cycle":[193,193,558],"intervals":[{"from_index":163,"to_index":903,"sum":271753,"residue":193},{"from_index":903,"to_index":1643,"sum":276133,"residue":193},{"from_index":1643,"to_index":163,"sum":259708,"residue":558}],"minimal_cycle":[193,193,558],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":193,"start_interval_clock_positions":[163,903],"circle_positions":730,"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":[164,904,1644],"clock_positions":[164,904,1644],"native_values":[403,403,38],"rotation_degrees":26.594594594594593,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[403,403,38],"beta":{"interval_sums":[271522,276267,260207],"interval_residues":[692,327,327],"display_cycle":[692,327,327],"intervals":[{"from_index":164,"to_index":904,"sum":271522,"residue":692},{"from_index":904,"to_index":1644,"sum":276267,"residue":327},{"from_index":1644,"to_index":164,"sum":260207,"residue":327}],"minimal_cycle":[692,327,327],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":692,"start_interval_clock_positions":[164,904],"circle_positions":730,"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":[165,905,1645],"clock_positions":[165,905,1645],"native_values":[210,575,575],"rotation_degrees":26.756756756756758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[210,575,575],"beta":{"interval_sums":[271715,275730,260035],"interval_residues":[155,520,155],"display_cycle":[155,520,155],"intervals":[{"from_index":165,"to_index":905,"sum":271715,"residue":155},{"from_index":905,"to_index":1645,"sum":275730,"residue":520},{"from_index":1645,"to_index":165,"sum":260035,"residue":155}],"minimal_cycle":[155,520,155],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":155,"start_interval_clock_positions":[165,905],"circle_positions":730,"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":[166,906,1646],"clock_positions":[166,906,1646],"native_values":[613,248,613],"rotation_degrees":26.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[613,248,613],"beta":{"interval_sums":[271677,276057,259632],"interval_residues":[117,117,482],"display_cycle":[117,117,482],"intervals":[{"from_index":166,"to_index":906,"sum":271677,"residue":117},{"from_index":906,"to_index":1646,"sum":276057,"residue":117},{"from_index":1646,"to_index":166,"sum":259632,"residue":482}],"minimal_cycle":[117,117,482],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":117,"start_interval_clock_positions":[166,906],"circle_positions":730,"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":[167,907,1647],"clock_positions":[167,907,1647],"native_values":[93,93,458],"rotation_degrees":27.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,93,458],"beta":{"interval_sums":[271832,276577,259787],"interval_residues":[272,637,637],"display_cycle":[272,637,637],"intervals":[{"from_index":167,"to_index":907,"sum":271832,"residue":272},{"from_index":907,"to_index":1647,"sum":276577,"residue":637},{"from_index":1647,"to_index":167,"sum":259787,"residue":637}],"minimal_cycle":[272,637,637],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":272,"start_interval_clock_positions":[167,907],"circle_positions":730,"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":[168,908,1648],"clock_positions":[168,908,1648],"native_values":[706,341,341],"rotation_degrees":27.243243243243242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[706,341,341],"beta":{"interval_sums":[271219,276694,259539],"interval_residues":[389,24,389],"display_cycle":[389,24,389],"intervals":[{"from_index":168,"to_index":908,"sum":271219,"residue":389},{"from_index":908,"to_index":1648,"sum":276694,"residue":24},{"from_index":1648,"to_index":168,"sum":259539,"residue":389}],"minimal_cycle":[389,24,389],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":389,"start_interval_clock_positions":[168,908],"circle_positions":730,"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":[169,909,1649],"clock_positions":[169,909,1649],"native_values":[69,434,69],"rotation_degrees":27.405405405405407,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[69,434,69],"beta":{"interval_sums":[271491,276601,260176],"interval_residues":[661,661,296],"display_cycle":[661,661,296],"intervals":[{"from_index":169,"to_index":909,"sum":271491,"residue":661},{"from_index":909,"to_index":1649,"sum":276601,"residue":661},{"from_index":1649,"to_index":169,"sum":260176,"residue":296}],"minimal_cycle":[661,661,296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":661,"start_interval_clock_positions":[169,909],"circle_positions":730,"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":[170,910,1650],"clock_positions":[170,910,1650],"native_values":[45,45,410],"rotation_degrees":27.56756756756757,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,45,410],"beta":{"interval_sums":[271880,276625,259835],"interval_residues":[320,685,685],"display_cycle":[320,685,685],"intervals":[{"from_index":170,"to_index":910,"sum":271880,"residue":320},{"from_index":910,"to_index":1650,"sum":276625,"residue":685},{"from_index":1650,"to_index":170,"sum":259835,"residue":685}],"minimal_cycle":[320,685,685],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[170,910],"circle_positions":730,"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":[171,911,1651],"clock_positions":[171,911,1651],"native_values":[114,479,479],"rotation_degrees":27.72972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[114,479,479],"beta":{"interval_sums":[271811,276556,259401],"interval_residues":[251,616,251],"display_cycle":[251,616,251],"intervals":[{"from_index":171,"to_index":911,"sum":271811,"residue":251},{"from_index":911,"to_index":1651,"sum":276556,"residue":616},{"from_index":1651,"to_index":171,"sum":259401,"residue":251}],"minimal_cycle":[251,616,251],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":251,"start_interval_clock_positions":[171,911],"circle_positions":730,"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":[172,912,1652],"clock_positions":[172,912,1652],"native_values":[159,524,159],"rotation_degrees":27.89189189189189,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[159,524,159],"beta":{"interval_sums":[272131,276511,259356],"interval_residues":[571,571,206],"display_cycle":[571,571,206],"intervals":[{"from_index":172,"to_index":912,"sum":272131,"residue":571},{"from_index":912,"to_index":1652,"sum":276511,"residue":571},{"from_index":1652,"to_index":172,"sum":259356,"residue":206}],"minimal_cycle":[571,571,206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":571,"start_interval_clock_positions":[172,912],"circle_positions":730,"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":[173,913,1653],"clock_positions":[173,913,1653],"native_values":[273,273,638],"rotation_degrees":28.054054054054053,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[273,273,638],"beta":{"interval_sums":[272382,276397,258877],"interval_residues":[92,457,457],"display_cycle":[92,457,457],"intervals":[{"from_index":173,"to_index":913,"sum":272382,"residue":92},{"from_index":913,"to_index":1653,"sum":276397,"residue":457},{"from_index":1653,"to_index":173,"sum":258877,"residue":457}],"minimal_cycle":[92,457,457],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[173,913],"circle_positions":730,"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":[174,914,1654],"clock_positions":[174,914,1654],"native_values":[432,67,67],"rotation_degrees":28.216216216216218,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[432,67,67],"beta":{"interval_sums":[272223,276968,259083],"interval_residues":[663,298,663],"display_cycle":[663,298,663],"intervals":[{"from_index":174,"to_index":914,"sum":272223,"residue":663},{"from_index":914,"to_index":1654,"sum":276968,"residue":298},{"from_index":1654,"to_index":174,"sum":259083,"residue":663}],"minimal_cycle":[663,298,663],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":663,"start_interval_clock_positions":[174,914],"circle_positions":730,"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":[175,915,1655],"clock_positions":[175,915,1655],"native_values":[705,340,705],"rotation_degrees":28.37837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,340,705],"beta":{"interval_sums":[271585,276695,258810],"interval_residues":[25,25,390],"display_cycle":[25,25,390],"intervals":[{"from_index":175,"to_index":915,"sum":271585,"residue":25},{"from_index":915,"to_index":1655,"sum":276695,"residue":25},{"from_index":1655,"to_index":175,"sum":258810,"residue":390}],"minimal_cycle":[25,25,390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":25,"start_interval_clock_positions":[175,915],"circle_positions":730,"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":[176,916,1656],"clock_positions":[176,916,1656],"native_values":[407,407,42],"rotation_degrees":28.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[407,407,42],"beta":{"interval_sums":[271518,276993,259473],"interval_residues":[688,323,323],"display_cycle":[688,323,323],"intervals":[{"from_index":176,"to_index":916,"sum":271518,"residue":688},{"from_index":916,"to_index":1656,"sum":276993,"residue":323},{"from_index":1656,"to_index":176,"sum":259473,"residue":323}],"minimal_cycle":[688,323,323],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":688,"start_interval_clock_positions":[176,916],"circle_positions":730,"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":[177,917,1657],"clock_positions":[177,917,1657],"native_values":[382,17,17],"rotation_degrees":28.7027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[382,17,17],"beta":{"interval_sums":[271543,277018,259863],"interval_residues":[713,348,713],"display_cycle":[713,348,713],"intervals":[{"from_index":177,"to_index":917,"sum":271543,"residue":713},{"from_index":917,"to_index":1657,"sum":277018,"residue":348},{"from_index":1657,"to_index":177,"sum":259863,"residue":713}],"minimal_cycle":[713,348,713],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":713,"start_interval_clock_positions":[177,917],"circle_positions":730,"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":[178,918,1658],"clock_positions":[178,918,1658],"native_values":[59,424,59],"rotation_degrees":28.864864864864863,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[59,424,59],"beta":{"interval_sums":[271501,276611,260186],"interval_residues":[671,671,306],"display_cycle":[671,671,306],"intervals":[{"from_index":178,"to_index":918,"sum":271501,"residue":671},{"from_index":918,"to_index":1658,"sum":276611,"residue":671},{"from_index":1658,"to_index":178,"sum":260186,"residue":306}],"minimal_cycle":[671,671,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":671,"start_interval_clock_positions":[178,918],"circle_positions":730,"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":[179,919,1659],"clock_positions":[179,919,1659],"native_values":[441,441,76],"rotation_degrees":29.027027027027028,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,441,76],"beta":{"interval_sums":[271484,276229,260169],"interval_residues":[654,289,289],"display_cycle":[654,289,289],"intervals":[{"from_index":179,"to_index":919,"sum":271484,"residue":654},{"from_index":919,"to_index":1659,"sum":276229,"residue":289},{"from_index":1659,"to_index":179,"sum":260169,"residue":289}],"minimal_cycle":[654,289,289],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":654,"start_interval_clock_positions":[179,919],"circle_positions":730,"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":[180,920,1660],"clock_positions":[180,920,1660],"native_values":[500,135,135],"rotation_degrees":29.18918918918919,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[500,135,135],"beta":{"interval_sums":[271425,276170,260475],"interval_residues":[595,230,595],"display_cycle":[595,230,595],"intervals":[{"from_index":180,"to_index":920,"sum":271425,"residue":595},{"from_index":920,"to_index":1660,"sum":276170,"residue":230},{"from_index":1660,"to_index":180,"sum":260475,"residue":595}],"minimal_cycle":[595,230,595],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":595,"start_interval_clock_positions":[180,920],"circle_positions":730,"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":[181,921,1661],"clock_positions":[181,921,1661],"native_values":[211,576,211],"rotation_degrees":29.35135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,576,211],"beta":{"interval_sums":[271349,275729,260764],"interval_residues":[519,519,154],"display_cycle":[519,519,154],"intervals":[{"from_index":181,"to_index":921,"sum":271349,"residue":519},{"from_index":921,"to_index":1661,"sum":275729,"residue":519},{"from_index":1661,"to_index":181,"sum":260764,"residue":154}],"minimal_cycle":[519,519,154],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":519,"start_interval_clock_positions":[181,921],"circle_positions":730,"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":[182,922,1662],"clock_positions":[182,922,1662],"native_values":[711,711,346],"rotation_degrees":29.513513513513512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[711,711,346],"beta":{"interval_sums":[271214,275229,260629],"interval_residues":[384,19,19],"display_cycle":[384,19,19],"intervals":[{"from_index":182,"to_index":922,"sum":271214,"residue":384},{"from_index":922,"to_index":1662,"sum":275229,"residue":19},{"from_index":1662,"to_index":182,"sum":260629,"residue":19}],"minimal_cycle":[384,19,19],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[182,922],"circle_positions":730,"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":[183,923,1663],"clock_positions":[183,923,1663],"native_values":[192,557,557],"rotation_degrees":29.675675675675677,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[192,557,557],"beta":{"interval_sums":[271733,275018,260783],"interval_residues":[173,538,173],"display_cycle":[173,538,173],"intervals":[{"from_index":183,"to_index":923,"sum":271733,"residue":173},{"from_index":923,"to_index":1663,"sum":275018,"residue":538},{"from_index":1663,"to_index":183,"sum":260783,"residue":173}],"minimal_cycle":[173,538,173],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":173,"start_interval_clock_positions":[183,923],"circle_positions":730,"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":[184,924,1664],"clock_positions":[184,924,1664],"native_values":[173,538,173],"rotation_degrees":29.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,538,173],"beta":{"interval_sums":[272117,275037,260802],"interval_residues":[557,557,192],"display_cycle":[557,557,192],"intervals":[{"from_index":184,"to_index":924,"sum":272117,"residue":557},{"from_index":924,"to_index":1664,"sum":275037,"residue":557},{"from_index":1664,"to_index":184,"sum":260802,"residue":192}],"minimal_cycle":[557,557,192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":557,"start_interval_clock_positions":[184,924],"circle_positions":730,"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":[185,925,1665],"clock_positions":[185,925,1665],"native_values":[365,365,730],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[365,365,730],"beta":{"interval_sums":[272290,274845,260975],"interval_residues":[0,365,365],"display_cycle":[730,365,365],"intervals":[{"from_index":185,"to_index":925,"sum":272290,"residue":0},{"from_index":925,"to_index":1665,"sum":274845,"residue":365},{"from_index":1665,"to_index":185,"sum":260975,"residue":365}],"minimal_cycle":[0,365,365],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":730,"start_interval_clock_positions":[185,925],"circle_positions":730,"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":[186,926,1666],"clock_positions":[186,926,1666],"native_values":[538,173,173],"rotation_degrees":30.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[538,173,173],"beta":{"interval_sums":[272117,274672,261167],"interval_residues":[557,192,557],"display_cycle":[557,192,557],"intervals":[{"from_index":186,"to_index":926,"sum":272117,"residue":557},{"from_index":926,"to_index":1666,"sum":274672,"residue":192},{"from_index":1666,"to_index":186,"sum":261167,"residue":557}],"minimal_cycle":[557,192,557],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":557,"start_interval_clock_positions":[186,926],"circle_positions":730,"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":[187,927,1667],"clock_positions":[187,927,1667],"native_values":[173,538,173],"rotation_degrees":30.324324324324323,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,538,173],"beta":{"interval_sums":[272117,274307,261532],"interval_residues":[557,557,192],"display_cycle":[557,557,192],"intervals":[{"from_index":187,"to_index":927,"sum":272117,"residue":557},{"from_index":927,"to_index":1667,"sum":274307,"residue":557},{"from_index":1667,"to_index":187,"sum":261532,"residue":192}],"minimal_cycle":[557,557,192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":557,"start_interval_clock_positions":[187,927],"circle_positions":730,"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":[188,928,1668],"clock_positions":[188,928,1668],"native_values":[711,711,346],"rotation_degrees":30.486486486486488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[711,711,346],"beta":{"interval_sums":[271944,273769,261359],"interval_residues":[384,19,19],"display_cycle":[384,19,19],"intervals":[{"from_index":188,"to_index":928,"sum":271944,"residue":384},{"from_index":928,"to_index":1668,"sum":273769,"residue":19},{"from_index":1668,"to_index":188,"sum":261359,"residue":19}],"minimal_cycle":[384,19,19],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[188,928],"circle_positions":730,"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":[189,929,1669],"clock_positions":[189,929,1669],"native_values":[154,519,519],"rotation_degrees":30.64864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[154,519,519],"beta":{"interval_sums":[272501,273596,261551],"interval_residues":[211,576,211],"display_cycle":[211,576,211],"intervals":[{"from_index":189,"to_index":929,"sum":272501,"residue":211},{"from_index":929,"to_index":1669,"sum":273596,"residue":576},{"from_index":1669,"to_index":189,"sum":261551,"residue":211}],"minimal_cycle":[211,576,211],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":211,"start_interval_clock_positions":[189,929],"circle_positions":730,"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":[190,930,1670],"clock_positions":[190,930,1670],"native_values":[135,500,135],"rotation_degrees":30.81081081081081,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,500,135],"beta":{"interval_sums":[272885,273615,261570],"interval_residues":[595,595,230],"display_cycle":[595,595,230],"intervals":[{"from_index":190,"to_index":930,"sum":272885,"residue":595},{"from_index":930,"to_index":1670,"sum":273615,"residue":595},{"from_index":1670,"to_index":190,"sum":261570,"residue":230}],"minimal_cycle":[595,595,230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":595,"start_interval_clock_positions":[190,930],"circle_positions":730,"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":[191,931,1671],"clock_positions":[191,931,1671],"native_values":[289,289,654],"rotation_degrees":30.972972972972972,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[289,289,654],"beta":{"interval_sums":[273096,273461,261051],"interval_residues":[76,441,441],"display_cycle":[76,441,441],"intervals":[{"from_index":191,"to_index":931,"sum":273096,"residue":76},{"from_index":931,"to_index":1671,"sum":273461,"residue":441},{"from_index":1671,"to_index":191,"sum":261051,"residue":441}],"minimal_cycle":[76,441,441],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[191,931],"circle_positions":730,"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":[192,932,1672],"clock_positions":[192,932,1672],"native_values":[424,59,59],"rotation_degrees":31.135135135135137,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[424,59,59],"beta":{"interval_sums":[272961,274056,261281],"interval_residues":[671,306,671],"display_cycle":[671,306,671],"intervals":[{"from_index":192,"to_index":932,"sum":272961,"residue":671},{"from_index":932,"to_index":1672,"sum":274056,"residue":306},{"from_index":1672,"to_index":192,"sum":261281,"residue":671}],"minimal_cycle":[671,306,671],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":671,"start_interval_clock_positions":[192,932],"circle_positions":730,"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":[193,933,1673],"clock_positions":[193,933,1673],"native_values":[713,348,713],"rotation_degrees":31.2972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[713,348,713],"beta":{"interval_sums":[272307,273767,260992],"interval_residues":[17,17,382],"display_cycle":[17,17,382],"intervals":[{"from_index":193,"to_index":933,"sum":272307,"residue":17},{"from_index":933,"to_index":1673,"sum":273767,"residue":17},{"from_index":1673,"to_index":193,"sum":260992,"residue":382}],"minimal_cycle":[17,17,382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":17,"start_interval_clock_positions":[193,933],"circle_positions":730,"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":[194,934,1674],"clock_positions":[194,934,1674],"native_values":[407,407,42],"rotation_degrees":31.45945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[407,407,42],"beta":{"interval_sums":[272248,274073,261663],"interval_residues":[688,323,323],"display_cycle":[688,323,323],"intervals":[{"from_index":194,"to_index":934,"sum":272248,"residue":688},{"from_index":934,"to_index":1674,"sum":274073,"residue":323},{"from_index":1674,"to_index":194,"sum":261663,"residue":323}],"minimal_cycle":[688,323,323],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":688,"start_interval_clock_positions":[194,934],"circle_positions":730,"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":[195,935,1675],"clock_positions":[195,935,1675],"native_values":[390,25,25],"rotation_degrees":31.62162162162162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[390,25,25],"beta":{"interval_sums":[272265,274090,262045],"interval_residues":[705,340,705],"display_cycle":[705,340,705],"intervals":[{"from_index":195,"to_index":935,"sum":272265,"residue":705},{"from_index":935,"to_index":1675,"sum":274090,"residue":340},{"from_index":1675,"to_index":195,"sum":262045,"residue":705}],"minimal_cycle":[705,340,705],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":705,"start_interval_clock_positions":[195,935],"circle_positions":730,"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":[196,936,1676],"clock_positions":[196,936,1676],"native_values":[67,432,67],"rotation_degrees":31.783783783783782,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[67,432,67],"beta":{"interval_sums":[272223,273683,262368],"interval_residues":[663,663,298],"display_cycle":[663,663,298],"intervals":[{"from_index":196,"to_index":936,"sum":272223,"residue":663},{"from_index":936,"to_index":1676,"sum":273683,"residue":663},{"from_index":1676,"to_index":196,"sum":262368,"residue":298}],"minimal_cycle":[663,663,298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":663,"start_interval_clock_positions":[196,936],"circle_positions":730,"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":[197,937,1677],"clock_positions":[197,937,1677],"native_values":[457,457,92],"rotation_degrees":31.945945945945947,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,457,92],"beta":{"interval_sums":[272198,273293,262343],"interval_residues":[638,273,273],"display_cycle":[638,273,273],"intervals":[{"from_index":197,"to_index":937,"sum":272198,"residue":638},{"from_index":937,"to_index":1677,"sum":273293,"residue":273},{"from_index":1677,"to_index":197,"sum":262343,"residue":273}],"minimal_cycle":[638,273,273],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[197,937],"circle_positions":730,"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":[198,938,1678],"clock_positions":[198,938,1678],"native_values":[524,159,159],"rotation_degrees":32.108108108108105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[524,159,159],"beta":{"interval_sums":[272131,273226,262641],"interval_residues":[571,206,571],"display_cycle":[571,206,571],"intervals":[{"from_index":198,"to_index":938,"sum":272131,"residue":571},{"from_index":938,"to_index":1678,"sum":273226,"residue":206},{"from_index":1678,"to_index":198,"sum":262641,"residue":571}],"minimal_cycle":[571,206,571],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":571,"start_interval_clock_positions":[198,938],"circle_positions":730,"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":[199,939,1679],"clock_positions":[199,939,1679],"native_values":[251,616,251],"rotation_degrees":32.270270270270274,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[251,616,251],"beta":{"interval_sums":[272039,272769,262914],"interval_residues":[479,479,114],"display_cycle":[479,479,114],"intervals":[{"from_index":199,"to_index":939,"sum":272039,"residue":479},{"from_index":939,"to_index":1679,"sum":272769,"residue":479},{"from_index":1679,"to_index":199,"sum":262914,"residue":114}],"minimal_cycle":[479,479,114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":479,"start_interval_clock_positions":[199,939],"circle_positions":730,"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":[200,940,1680],"clock_positions":[200,940,1680],"native_values":[45,45,410],"rotation_degrees":32.432432432432435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,45,410],"beta":{"interval_sums":[272610,272975,262755],"interval_residues":[320,685,685],"display_cycle":[320,685,685],"intervals":[{"from_index":200,"to_index":940,"sum":272610,"residue":320},{"from_index":940,"to_index":1680,"sum":272975,"residue":685},{"from_index":1680,"to_index":200,"sum":262755,"residue":685}],"minimal_cycle":[320,685,685],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[200,940],"circle_positions":730,"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":[201,941,1681],"clock_positions":[201,941,1681],"native_values":[296,661,661],"rotation_degrees":32.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[296,661,661],"beta":{"interval_sums":[272359,272724,262139],"interval_residues":[69,434,69],"display_cycle":[69,434,69],"intervals":[{"from_index":201,"to_index":941,"sum":272359,"residue":69},{"from_index":941,"to_index":1681,"sum":272724,"residue":434},{"from_index":1681,"to_index":201,"sum":262139,"residue":69}],"minimal_cycle":[69,434,69],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":69,"start_interval_clock_positions":[201,941],"circle_positions":730,"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":[202,942,1682],"clock_positions":[202,942,1682],"native_values":[341,706,341],"rotation_degrees":32.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,706,341],"beta":{"interval_sums":[272679,272679,262094],"interval_residues":[389,389,24],"display_cycle":[389,389,24],"intervals":[{"from_index":202,"to_index":942,"sum":272679,"residue":389},{"from_index":942,"to_index":1682,"sum":272679,"residue":389},{"from_index":1682,"to_index":202,"sum":262094,"residue":24}],"minimal_cycle":[389,389,24],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":389,"start_interval_clock_positions":[202,942],"circle_positions":730,"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":[203,943,1683],"clock_positions":[203,943,1683],"native_values":[637,637,272],"rotation_degrees":32.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[637,637,272],"beta":{"interval_sums":[272748,272383,262163],"interval_residues":[458,93,93],"display_cycle":[458,93,93],"intervals":[{"from_index":203,"to_index":943,"sum":272748,"residue":458},{"from_index":943,"to_index":1683,"sum":272383,"residue":93},{"from_index":1683,"to_index":203,"sum":262163,"residue":93}],"minimal_cycle":[458,93,93],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":458,"start_interval_clock_positions":[203,943],"circle_positions":730,"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":[204,944,1684],"clock_positions":[204,944,1684],"native_values":[248,613,613],"rotation_degrees":33.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[248,613,613],"beta":{"interval_sums":[273137,272042,262187],"interval_residues":[117,482,117],"display_cycle":[117,482,117],"intervals":[{"from_index":204,"to_index":944,"sum":273137,"residue":117},{"from_index":944,"to_index":1684,"sum":272042,"residue":482},{"from_index":1684,"to_index":204,"sum":262187,"residue":117}],"minimal_cycle":[117,482,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":117,"start_interval_clock_positions":[204,944],"circle_positions":730,"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":[205,945,1685],"clock_positions":[205,945,1685],"native_values":[155,520,155],"rotation_degrees":33.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,520,155],"beta":{"interval_sums":[273595,272135,262280],"interval_residues":[575,575,210],"display_cycle":[575,575,210],"intervals":[{"from_index":205,"to_index":945,"sum":273595,"residue":575},{"from_index":945,"to_index":1685,"sum":272135,"residue":575},{"from_index":1685,"to_index":205,"sum":262280,"residue":210}],"minimal_cycle":[575,575,210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":575,"start_interval_clock_positions":[205,945],"circle_positions":730,"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":[206,946,1686],"clock_positions":[206,946,1686],"native_values":[403,403,38],"rotation_degrees":33.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[403,403,38],"beta":{"interval_sums":[273712,271887,262397],"interval_residues":[692,327,327],"display_cycle":[692,327,327],"intervals":[{"from_index":206,"to_index":946,"sum":273712,"residue":692},{"from_index":946,"to_index":1686,"sum":271887,"residue":327},{"from_index":1686,"to_index":206,"sum":262397,"residue":327}],"minimal_cycle":[692,327,327],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":692,"start_interval_clock_positions":[206,946],"circle_positions":730,"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":[207,947,1687],"clock_positions":[207,947,1687],"native_values":[558,193,193],"rotation_degrees":33.567567567567565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[558,193,193],"beta":{"interval_sums":[273557,271732,262607],"interval_residues":[537,172,537],"display_cycle":[537,172,537],"intervals":[{"from_index":207,"to_index":947,"sum":273557,"residue":537},{"from_index":947,"to_index":1687,"sum":271732,"residue":172},{"from_index":1687,"to_index":207,"sum":262607,"residue":537}],"minimal_cycle":[537,172,537],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":537,"start_interval_clock_positions":[207,947],"circle_positions":730,"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":[208,948,1688],"clock_positions":[208,948,1688],"native_values":[231,596,231],"rotation_degrees":33.729729729729726,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[231,596,231],"beta":{"interval_sums":[273519,271329,262934],"interval_residues":[499,499,134],"display_cycle":[499,499,134],"intervals":[{"from_index":208,"to_index":948,"sum":273519,"residue":499},{"from_index":948,"to_index":1688,"sum":271329,"residue":499},{"from_index":1688,"to_index":208,"sum":262934,"residue":134}],"minimal_cycle":[499,499,134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":499,"start_interval_clock_positions":[208,948],"circle_positions":730,"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":[209,949,1689],"clock_positions":[209,949,1689],"native_values":[59,59,424],"rotation_degrees":33.891891891891895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[59,59,424],"beta":{"interval_sums":[274056,271501,262741],"interval_residues":[306,671,671],"display_cycle":[306,671,671],"intervals":[{"from_index":209,"to_index":949,"sum":274056,"residue":306},{"from_index":949,"to_index":1689,"sum":271501,"residue":671},{"from_index":1689,"to_index":209,"sum":262741,"residue":671}],"minimal_cycle":[306,671,671],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[209,949],"circle_positions":730,"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":[210,950,1690],"clock_positions":[210,950,1690],"native_values":[290,655,655],"rotation_degrees":34.054054054054056,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[290,655,655],"beta":{"interval_sums":[273825,271270,262145],"interval_residues":[75,440,75],"display_cycle":[75,440,75],"intervals":[{"from_index":210,"to_index":950,"sum":273825,"residue":75},{"from_index":950,"to_index":1690,"sum":271270,"residue":440},{"from_index":1690,"to_index":210,"sum":262145,"residue":75}],"minimal_cycle":[75,440,75],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":75,"start_interval_clock_positions":[210,950],"circle_positions":730,"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":[211,951,1691],"clock_positions":[211,951,1691],"native_values":[349,714,349],"rotation_degrees":34.21621621621622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,714,349],"beta":{"interval_sums":[274131,271211,262086],"interval_residues":[381,381,16],"display_cycle":[381,381,16],"intervals":[{"from_index":211,"to_index":951,"sum":274131,"residue":381},{"from_index":951,"to_index":1691,"sum":271211,"residue":381},{"from_index":1691,"to_index":211,"sum":262086,"residue":16}],"minimal_cycle":[381,381,16],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":381,"start_interval_clock_positions":[211,951],"circle_positions":730,"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":[212,952,1692],"clock_positions":[212,952,1692],"native_values":[639,639,274],"rotation_degrees":34.37837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[639,639,274],"beta":{"interval_sums":[274206,270921,262161],"interval_residues":[456,91,91],"display_cycle":[456,91,91],"intervals":[{"from_index":212,"to_index":952,"sum":274206,"residue":456},{"from_index":952,"to_index":1692,"sum":270921,"residue":91},{"from_index":1692,"to_index":212,"sum":262161,"residue":91}],"minimal_cycle":[456,91,91],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[212,952],"circle_positions":730,"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":[213,953,1693],"clock_positions":[213,953,1693],"native_values":[258,623,623],"rotation_degrees":34.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[258,623,623],"beta":{"interval_sums":[274587,270572,262177],"interval_residues":[107,472,107],"display_cycle":[107,472,107],"intervals":[{"from_index":213,"to_index":953,"sum":274587,"residue":107},{"from_index":953,"to_index":1693,"sum":270572,"residue":472},{"from_index":1693,"to_index":213,"sum":262177,"residue":107}],"minimal_cycle":[107,472,107],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":107,"start_interval_clock_positions":[213,953],"circle_positions":730,"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":[214,954,1694],"clock_positions":[214,954,1694],"native_values":[167,532,167],"rotation_degrees":34.7027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,532,167],"beta":{"interval_sums":[275043,270663,262268],"interval_residues":[563,563,198],"display_cycle":[563,563,198],"intervals":[{"from_index":214,"to_index":954,"sum":275043,"residue":563},{"from_index":954,"to_index":1694,"sum":270663,"residue":563},{"from_index":1694,"to_index":214,"sum":262268,"residue":198}],"minimal_cycle":[563,563,198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":563,"start_interval_clock_positions":[214,954],"circle_positions":730,"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":[215,955,1695],"clock_positions":[215,955,1695],"native_values":[425,425,60],"rotation_degrees":34.86486486486486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[425,425,60],"beta":{"interval_sums":[275150,270405,262375],"interval_residues":[670,305,305],"display_cycle":[670,305,305],"intervals":[{"from_index":215,"to_index":955,"sum":275150,"residue":670},{"from_index":955,"to_index":1695,"sum":270405,"residue":305},{"from_index":1695,"to_index":215,"sum":262375,"residue":305}],"minimal_cycle":[670,305,305],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":670,"start_interval_clock_positions":[215,955],"circle_positions":730,"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":[216,956,1696],"clock_positions":[216,956,1696],"native_values":[592,227,227],"rotation_degrees":35.027027027027025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[592,227,227],"beta":{"interval_sums":[274983,270238,262573],"interval_residues":[503,138,503],"display_cycle":[503,138,503],"intervals":[{"from_index":216,"to_index":956,"sum":274983,"residue":503},{"from_index":956,"to_index":1696,"sum":270238,"residue":138},{"from_index":1696,"to_index":216,"sum":262573,"residue":503}],"minimal_cycle":[503,138,503],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":503,"start_interval_clock_positions":[216,956],"circle_positions":730,"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":[217,957,1697],"clock_positions":[217,957,1697],"native_values":[287,652,287],"rotation_degrees":35.189189189189186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,652,287],"beta":{"interval_sums":[274923,269813,262878],"interval_residues":[443,443,78],"display_cycle":[443,443,78],"intervals":[{"from_index":217,"to_index":957,"sum":274923,"residue":443},{"from_index":957,"to_index":1697,"sum":269813,"residue":443},{"from_index":1697,"to_index":217,"sum":262878,"residue":78}],"minimal_cycle":[443,443,78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":443,"start_interval_clock_positions":[217,957],"circle_positions":730,"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":[218,958,1698],"clock_positions":[218,958,1698],"native_values":[149,149,514],"rotation_degrees":35.351351351351354,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,149,514],"beta":{"interval_sums":[275426,269951,262651],"interval_residues":[216,581,581],"display_cycle":[216,581,581],"intervals":[{"from_index":218,"to_index":958,"sum":275426,"residue":216},{"from_index":958,"to_index":1698,"sum":269951,"residue":581},{"from_index":1698,"to_index":218,"sum":262651,"residue":581}],"minimal_cycle":[216,581,581],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[218,958],"circle_positions":730,"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":[219,959,1699],"clock_positions":[219,959,1699],"native_values":[436,71,71],"rotation_degrees":35.513513513513516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[436,71,71],"beta":{"interval_sums":[275139,270394,262729],"interval_residues":[659,294,659],"display_cycle":[659,294,659],"intervals":[{"from_index":219,"to_index":959,"sum":275139,"residue":659},{"from_index":959,"to_index":1699,"sum":270394,"residue":294},{"from_index":1699,"to_index":219,"sum":262729,"residue":659}],"minimal_cycle":[659,294,659],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":659,"start_interval_clock_positions":[219,959],"circle_positions":730,"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":[220,960,1700],"clock_positions":[220,960,1700],"native_values":[585,220,585],"rotation_degrees":35.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[585,220,585],"beta":{"interval_sums":[274625,270245,262580],"interval_residues":[145,145,510],"display_cycle":[145,145,510],"intervals":[{"from_index":220,"to_index":960,"sum":274625,"residue":145},{"from_index":960,"to_index":1700,"sum":270245,"residue":145},{"from_index":1700,"to_index":220,"sum":262580,"residue":510}],"minimal_cycle":[145,145,510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":145,"start_interval_clock_positions":[220,960],"circle_positions":730,"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":[221,961,1701],"clock_positions":[221,961,1701],"native_values":[291,291,656],"rotation_degrees":35.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,291,656],"beta":{"interval_sums":[274554,270539,262509],"interval_residues":[74,439,439],"display_cycle":[74,439,439],"intervals":[{"from_index":221,"to_index":961,"sum":274554,"residue":74},{"from_index":961,"to_index":1701,"sum":270539,"residue":439},{"from_index":1701,"to_index":221,"sum":262509,"residue":439}],"minimal_cycle":[74,439,439],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[221,961],"circle_positions":730,"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":[222,962,1702],"clock_positions":[222,962,1702],"native_values":[146,511,511],"rotation_degrees":36.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[146,511,511],"beta":{"interval_sums":[274699,270684,262289],"interval_residues":[219,584,219],"display_cycle":[219,584,219],"intervals":[{"from_index":222,"to_index":962,"sum":274699,"residue":219},{"from_index":962,"to_index":1702,"sum":270684,"residue":584},{"from_index":1702,"to_index":222,"sum":262289,"residue":219}],"minimal_cycle":[219,584,219],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":219,"start_interval_clock_positions":[222,962],"circle_positions":730,"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":[223,963,1703],"clock_positions":[223,963,1703],"native_values":[437,72,437],"rotation_degrees":36.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[437,72,437],"beta":{"interval_sums":[274773,271123,261998],"interval_residues":[293,293,658],"display_cycle":[293,293,658],"intervals":[{"from_index":223,"to_index":963,"sum":274773,"residue":293},{"from_index":963,"to_index":1703,"sum":271123,"residue":293},{"from_index":1703,"to_index":223,"sum":261998,"residue":658}],"minimal_cycle":[293,293,658],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":293,"start_interval_clock_positions":[223,963],"circle_positions":730,"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":[224,964,1704],"clock_positions":[224,964,1704],"native_values":[583,583,218],"rotation_degrees":36.32432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[583,583,218],"beta":{"interval_sums":[274262,270977,262217],"interval_residues":[512,147,147],"display_cycle":[512,147,147],"intervals":[{"from_index":224,"to_index":964,"sum":274262,"residue":512},{"from_index":964,"to_index":1704,"sum":270977,"residue":147},{"from_index":1704,"to_index":224,"sum":262217,"residue":147}],"minimal_cycle":[512,147,147],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":512,"start_interval_clock_positions":[224,964],"circle_positions":730,"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":[225,965,1705],"clock_positions":[225,965,1705],"native_values":[290,655,655],"rotation_degrees":36.486486486486484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[290,655,655],"beta":{"interval_sums":[274555,270540,262145],"interval_residues":[75,440,75],"display_cycle":[75,440,75],"intervals":[{"from_index":225,"to_index":965,"sum":274555,"residue":75},{"from_index":965,"to_index":1705,"sum":270540,"residue":440},{"from_index":1705,"to_index":225,"sum":262145,"residue":75}],"minimal_cycle":[75,440,75],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":75,"start_interval_clock_positions":[225,965],"circle_positions":730,"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":[226,966,1706],"clock_positions":[226,966,1706],"native_values":[143,508,143],"rotation_degrees":36.648648648648646,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[143,508,143],"beta":{"interval_sums":[275067,270687,262292],"interval_residues":[587,587,222],"display_cycle":[587,587,222],"intervals":[{"from_index":226,"to_index":966,"sum":275067,"residue":587},{"from_index":966,"to_index":1706,"sum":270687,"residue":587},{"from_index":1706,"to_index":226,"sum":262292,"residue":222}],"minimal_cycle":[587,587,222],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":587,"start_interval_clock_positions":[226,966],"circle_positions":730,"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":[227,967,1707],"clock_positions":[227,967,1707],"native_values":[433,433,68],"rotation_degrees":36.810810810810814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,433,68],"beta":{"interval_sums":[275142,270397,262367],"interval_residues":[662,297,297],"display_cycle":[662,297,297],"intervals":[{"from_index":227,"to_index":967,"sum":275142,"residue":662},{"from_index":967,"to_index":1707,"sum":270397,"residue":297},{"from_index":1707,"to_index":227,"sum":262367,"residue":297}],"minimal_cycle":[662,297,297],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":662,"start_interval_clock_positions":[227,967],"circle_positions":730,"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":[228,968,1708],"clock_positions":[228,968,1708],"native_values":[576,211,211],"rotation_degrees":36.972972972972975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[576,211,211],"beta":{"interval_sums":[274999,270254,262589],"interval_residues":[519,154,519],"display_cycle":[519,154,519],"intervals":[{"from_index":228,"to_index":968,"sum":274999,"residue":519},{"from_index":968,"to_index":1708,"sum":270254,"residue":154},{"from_index":1708,"to_index":228,"sum":262589,"residue":519}],"minimal_cycle":[519,154,519],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":519,"start_interval_clock_positions":[228,968],"circle_positions":730,"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":[229,969,1709],"clock_positions":[229,969,1709],"native_values":[279,644,279],"rotation_degrees":37.13513513513514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,644,279],"beta":{"interval_sums":[274931,269821,262886],"interval_residues":[451,451,86],"display_cycle":[451,451,86],"intervals":[{"from_index":229,"to_index":969,"sum":274931,"residue":451},{"from_index":969,"to_index":1709,"sum":269821,"residue":451},{"from_index":1709,"to_index":229,"sum":262886,"residue":86}],"minimal_cycle":[451,451,86],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":451,"start_interval_clock_positions":[229,969],"circle_positions":730,"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":[230,970,1710],"clock_positions":[230,970,1710],"native_values":[125,125,490],"rotation_degrees":37.2972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,125,490],"beta":{"interval_sums":[275450,269975,262675],"interval_residues":[240,605,605],"display_cycle":[240,605,605],"intervals":[{"from_index":230,"to_index":970,"sum":275450,"residue":240},{"from_index":970,"to_index":1710,"sum":269975,"residue":605},{"from_index":1710,"to_index":230,"sum":262675,"residue":605}],"minimal_cycle":[240,605,605],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[230,970],"circle_positions":730,"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":[231,971,1711],"clock_positions":[231,971,1711],"native_values":[404,39,39],"rotation_degrees":37.45945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[404,39,39],"beta":{"interval_sums":[275171,270426,262761],"interval_residues":[691,326,691],"display_cycle":[691,326,691],"intervals":[{"from_index":231,"to_index":971,"sum":275171,"residue":691},{"from_index":971,"to_index":1711,"sum":270426,"residue":326},{"from_index":1711,"to_index":231,"sum":262761,"residue":691}],"minimal_cycle":[691,326,691],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":691,"start_interval_clock_positions":[231,971],"circle_positions":730,"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":[232,972,1712],"clock_positions":[232,972,1712],"native_values":[529,164,529],"rotation_degrees":37.62162162162162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[529,164,529],"beta":{"interval_sums":[274681,270301,262636],"interval_residues":[201,201,566],"display_cycle":[201,201,566],"intervals":[{"from_index":232,"to_index":972,"sum":274681,"residue":201},{"from_index":972,"to_index":1712,"sum":270301,"residue":201},{"from_index":1712,"to_index":232,"sum":262636,"residue":566}],"minimal_cycle":[201,201,566],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":201,"start_interval_clock_positions":[232,972],"circle_positions":730,"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":[233,973,1713],"clock_positions":[233,973,1713],"native_values":[203,203,568],"rotation_degrees":37.78378378378378,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,203,568],"beta":{"interval_sums":[274642,270627,262597],"interval_residues":[162,527,527],"display_cycle":[162,527,527],"intervals":[{"from_index":233,"to_index":973,"sum":274642,"residue":162},{"from_index":973,"to_index":1713,"sum":270627,"residue":527},{"from_index":1713,"to_index":233,"sum":262597,"residue":527}],"minimal_cycle":[162,527,527],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":162,"start_interval_clock_positions":[233,973],"circle_positions":730,"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":[234,974,1714],"clock_positions":[234,974,1714],"native_values":[2,367,367],"rotation_degrees":37.945945945945944,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,367,367],"beta":{"interval_sums":[274843,270828,262433],"interval_residues":[363,728,363],"display_cycle":[363,728,363],"intervals":[{"from_index":234,"to_index":974,"sum":274843,"residue":363},{"from_index":974,"to_index":1714,"sum":270828,"residue":728},{"from_index":1714,"to_index":234,"sum":262433,"residue":363}],"minimal_cycle":[363,728,363],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":363,"start_interval_clock_positions":[234,974],"circle_positions":730,"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":[235,975,1715],"clock_positions":[235,975,1715],"native_values":[205,570,205],"rotation_degrees":38.108108108108105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,570,205],"beta":{"interval_sums":[275005,270625,262230],"interval_residues":[525,525,160],"display_cycle":[525,525,160],"intervals":[{"from_index":235,"to_index":975,"sum":275005,"residue":525},{"from_index":975,"to_index":1715,"sum":270625,"residue":525},{"from_index":1715,"to_index":235,"sum":262230,"residue":160}],"minimal_cycle":[525,525,160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":525,"start_interval_clock_positions":[235,975],"circle_positions":730,"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":[236,976,1716],"clock_positions":[236,976,1716],"native_values":[207,207,572],"rotation_degrees":38.270270270270274,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[207,207,572],"beta":{"interval_sums":[275368,270623,261863],"interval_residues":[158,523,523],"display_cycle":[158,523,523],"intervals":[{"from_index":236,"to_index":976,"sum":275368,"residue":158},{"from_index":976,"to_index":1716,"sum":270623,"residue":523},{"from_index":1716,"to_index":236,"sum":261863,"residue":523}],"minimal_cycle":[158,523,523],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":158,"start_interval_clock_positions":[236,976],"circle_positions":730,"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":[237,977,1717],"clock_positions":[237,977,1717],"native_values":[412,47,47],"rotation_degrees":38.432432432432435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[412,47,47],"beta":{"interval_sums":[275163,271148,262023],"interval_residues":[683,318,683],"display_cycle":[683,318,683],"intervals":[{"from_index":237,"to_index":977,"sum":275163,"residue":683},{"from_index":977,"to_index":1717,"sum":271148,"residue":318},{"from_index":1717,"to_index":237,"sum":262023,"residue":683}],"minimal_cycle":[683,318,683],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":683,"start_interval_clock_positions":[237,977],"circle_positions":730,"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":[238,978,1718],"clock_positions":[238,978,1718],"native_values":[619,254,619],"rotation_degrees":38.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[619,254,619],"beta":{"interval_sums":[274591,270941,261816],"interval_residues":[111,111,476],"display_cycle":[111,111,476],"intervals":[{"from_index":238,"to_index":978,"sum":274591,"residue":111},{"from_index":978,"to_index":1718,"sum":270941,"residue":111},{"from_index":1718,"to_index":238,"sum":261816,"residue":476}],"minimal_cycle":[111,111,476],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":111,"start_interval_clock_positions":[238,978],"circle_positions":730,"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":[239,979,1719],"clock_positions":[239,979,1719],"native_values":[301,301,666],"rotation_degrees":38.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,301,666],"beta":{"interval_sums":[274544,271259,261769],"interval_residues":[64,429,429],"display_cycle":[64,429,429],"intervals":[{"from_index":239,"to_index":979,"sum":274544,"residue":64},{"from_index":979,"to_index":1719,"sum":271259,"residue":429},{"from_index":1719,"to_index":239,"sum":261769,"residue":429}],"minimal_cycle":[64,429,429],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":64,"start_interval_clock_positions":[239,979],"circle_positions":730,"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":[240,980,1720],"clock_positions":[240,980,1720],"native_values":[190,555,555],"rotation_degrees":38.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[190,555,555],"beta":{"interval_sums":[274655,271370,261515],"interval_residues":[175,540,175],"display_cycle":[175,540,175],"intervals":[{"from_index":240,"to_index":980,"sum":274655,"residue":175},{"from_index":980,"to_index":1720,"sum":271370,"residue":540},{"from_index":1720,"to_index":240,"sum":261515,"residue":175}],"minimal_cycle":[175,540,175],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":175,"start_interval_clock_positions":[240,980],"circle_positions":730,"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":[241,981,1721],"clock_positions":[241,981,1721],"native_values":[491,126,491],"rotation_degrees":39.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[491,126,491],"beta":{"interval_sums":[274719,271799,261214],"interval_residues":[239,239,604],"display_cycle":[239,239,604],"intervals":[{"from_index":241,"to_index":981,"sum":274719,"residue":239},{"from_index":981,"to_index":1721,"sum":271799,"residue":239},{"from_index":1721,"to_index":241,"sum":261214,"residue":604}],"minimal_cycle":[239,239,604],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":239,"start_interval_clock_positions":[241,981],"circle_positions":730,"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":[242,982,1722],"clock_positions":[242,982,1722],"native_values":[681,681,316],"rotation_degrees":39.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[681,681,316],"beta":{"interval_sums":[274164,271609,261389],"interval_residues":[414,49,49],"display_cycle":[414,49,49],"intervals":[{"from_index":242,"to_index":982,"sum":274164,"residue":414},{"from_index":982,"to_index":1722,"sum":271609,"residue":49},{"from_index":1722,"to_index":242,"sum":261389,"residue":49}],"minimal_cycle":[414,49,49],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[242,982],"circle_positions":730,"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":[243,983,1723],"clock_positions":[243,983,1723],"native_values":[442,77,77],"rotation_degrees":39.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[442,77,77],"beta":{"interval_sums":[274403,271848,261993],"interval_residues":[653,288,653],"display_cycle":[653,288,653],"intervals":[{"from_index":243,"to_index":983,"sum":274403,"residue":653},{"from_index":983,"to_index":1723,"sum":271848,"residue":288},{"from_index":1723,"to_index":243,"sum":261993,"residue":653}],"minimal_cycle":[653,288,653],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":653,"start_interval_clock_positions":[243,983],"circle_positions":730,"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":[244,984,1724],"clock_positions":[244,984,1724],"native_values":[393,28,393],"rotation_degrees":39.567567567567565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[393,28,393],"beta":{"interval_sums":[274087,271897,262042],"interval_residues":[337,337,702],"display_cycle":[337,337,702],"intervals":[{"from_index":244,"to_index":984,"sum":274087,"residue":337},{"from_index":984,"to_index":1724,"sum":271897,"residue":337},{"from_index":1724,"to_index":244,"sum":262042,"residue":702}],"minimal_cycle":[337,337,702],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":337,"start_interval_clock_positions":[244,984],"circle_positions":730,"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":[245,985,1725],"clock_positions":[245,985,1725],"native_values":[105,105,470],"rotation_degrees":39.729729729729726,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[105,105,470],"beta":{"interval_sums":[274010,272185,261965],"interval_residues":[260,625,625],"display_cycle":[260,625,625],"intervals":[{"from_index":245,"to_index":985,"sum":274010,"residue":260},{"from_index":985,"to_index":1725,"sum":272185,"residue":625},{"from_index":1725,"to_index":245,"sum":261965,"residue":625}],"minimal_cycle":[260,625,625],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":260,"start_interval_clock_positions":[245,985],"circle_positions":730,"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":[246,986,1726],"clock_positions":[246,986,1726],"native_values":[498,133,133],"rotation_degrees":39.891891891891895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[498,133,133],"beta":{"interval_sums":[273617,272522,261937],"interval_residues":[597,232,597],"display_cycle":[597,232,597],"intervals":[{"from_index":246,"to_index":986,"sum":273617,"residue":597},{"from_index":986,"to_index":1726,"sum":272522,"residue":232},{"from_index":1726,"to_index":246,"sum":261937,"residue":597}],"minimal_cycle":[597,232,597],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":597,"start_interval_clock_positions":[246,986],"circle_positions":730,"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":[247,987,1727],"clock_positions":[247,987,1727],"native_values":[603,238,603],"rotation_degrees":40.054054054054056,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[603,238,603],"beta":{"interval_sums":[273147,272417,261832],"interval_residues":[127,127,492],"display_cycle":[127,127,492],"intervals":[{"from_index":247,"to_index":987,"sum":273147,"residue":127},{"from_index":987,"to_index":1727,"sum":272417,"residue":127},{"from_index":1727,"to_index":247,"sum":261832,"residue":492}],"minimal_cycle":[127,127,492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":127,"start_interval_clock_positions":[247,987],"circle_positions":730,"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":[248,988,1728],"clock_positions":[248,988,1728],"native_values":[371,371,6],"rotation_degrees":40.21621621621622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[371,371,6],"beta":{"interval_sums":[273014,272649,262429],"interval_residues":[724,359,359],"display_cycle":[724,359,359],"intervals":[{"from_index":248,"to_index":988,"sum":273014,"residue":724},{"from_index":988,"to_index":1728,"sum":272649,"residue":359},{"from_index":1728,"to_index":248,"sum":262429,"residue":359}],"minimal_cycle":[724,359,359],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":724,"start_interval_clock_positions":[248,988],"circle_positions":730,"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":[249,989,1729],"clock_positions":[249,989,1729],"native_values":[244,609,609],"rotation_degrees":40.37837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[244,609,609],"beta":{"interval_sums":[273141,272046,262191],"interval_residues":[121,486,121],"display_cycle":[121,486,121],"intervals":[{"from_index":249,"to_index":989,"sum":273141,"residue":121},{"from_index":989,"to_index":1729,"sum":272046,"residue":486},{"from_index":1729,"to_index":249,"sum":262191,"residue":121}],"minimal_cycle":[121,486,121],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":121,"start_interval_clock_positions":[249,989],"circle_positions":730,"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":[250,990,1730],"clock_positions":[250,990,1730],"native_values":[615,250,615],"rotation_degrees":40.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[615,250,615],"beta":{"interval_sums":[273135,272405,261820],"interval_residues":[115,115,480],"display_cycle":[115,115,480],"intervals":[{"from_index":250,"to_index":990,"sum":273135,"residue":115},{"from_index":990,"to_index":1730,"sum":272405,"residue":115},{"from_index":1730,"to_index":250,"sum":261820,"residue":480}],"minimal_cycle":[115,115,480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":115,"start_interval_clock_positions":[250,990],"circle_positions":730,"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":[251,991,1731],"clock_positions":[251,991,1731],"native_values":[129,129,494],"rotation_degrees":40.7027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[129,129,494],"beta":{"interval_sums":[273256,272891,261941],"interval_residues":[236,601,601],"display_cycle":[236,601,601],"intervals":[{"from_index":251,"to_index":991,"sum":273256,"residue":236},{"from_index":991,"to_index":1731,"sum":272891,"residue":601},{"from_index":1731,"to_index":251,"sum":261941,"residue":601}],"minimal_cycle":[236,601,601],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[251,991],"circle_positions":730,"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":[252,992,1732],"clock_positions":[252,992,1732],"native_values":[14,379,379],"rotation_degrees":40.86486486486486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[14,379,379],"beta":{"interval_sums":[273371,273006,261691],"interval_residues":[351,716,351],"display_cycle":[351,716,351],"intervals":[{"from_index":252,"to_index":992,"sum":273371,"residue":351},{"from_index":992,"to_index":1732,"sum":273006,"residue":716},{"from_index":1732,"to_index":252,"sum":261691,"residue":351}],"minimal_cycle":[351,716,351],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":351,"start_interval_clock_positions":[252,992],"circle_positions":730,"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":[253,993,1733],"clock_positions":[253,993,1733],"native_values":[143,508,143],"rotation_degrees":41.027027027027025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[143,508,143],"beta":{"interval_sums":[273607,272877,261562],"interval_residues":[587,587,222],"display_cycle":[587,587,222],"intervals":[{"from_index":253,"to_index":993,"sum":273607,"residue":587},{"from_index":993,"to_index":1733,"sum":272877,"residue":587},{"from_index":1733,"to_index":253,"sum":261562,"residue":222}],"minimal_cycle":[587,587,222],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":587,"start_interval_clock_positions":[253,993],"circle_positions":730,"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":[254,994,1734],"clock_positions":[254,994,1734],"native_values":[157,157,522],"rotation_degrees":41.189189189189186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,157,522],"beta":{"interval_sums":[273958,272863,261183],"interval_residues":[208,573,573],"display_cycle":[208,573,573],"intervals":[{"from_index":254,"to_index":994,"sum":273958,"residue":208},{"from_index":994,"to_index":1734,"sum":272863,"residue":573},{"from_index":1734,"to_index":254,"sum":261183,"residue":573}],"minimal_cycle":[208,573,573],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[254,994],"circle_positions":730,"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":[255,995,1735],"clock_positions":[255,995,1735],"native_values":[300,665,665],"rotation_degrees":41.351351351351354,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,665,665],"beta":{"interval_sums":[273815,272720,260675],"interval_residues":[65,430,65],"display_cycle":[65,430,65],"intervals":[{"from_index":255,"to_index":995,"sum":273815,"residue":65},{"from_index":995,"to_index":1735,"sum":272720,"residue":430},{"from_index":1735,"to_index":255,"sum":260675,"residue":65}],"minimal_cycle":[65,430,65],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":65,"start_interval_clock_positions":[255,995],"circle_positions":730,"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":[256,996,1736],"clock_positions":[256,996,1736],"native_values":[457,92,457],"rotation_degrees":41.513513513513516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,92,457],"beta":{"interval_sums":[274023,273293,260518],"interval_residues":[273,273,638],"display_cycle":[273,273,638],"intervals":[{"from_index":256,"to_index":996,"sum":274023,"residue":273},{"from_index":996,"to_index":1736,"sum":273293,"residue":273},{"from_index":1736,"to_index":256,"sum":260518,"residue":638}],"minimal_cycle":[273,273,638],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":273,"start_interval_clock_positions":[256,996],"circle_positions":730,"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":[257,997,1737],"clock_positions":[257,997,1737],"native_values":[27,27,392],"rotation_degrees":41.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,27,392],"beta":{"interval_sums":[274088,273723,260583],"interval_residues":[338,703,703],"display_cycle":[338,703,703],"intervals":[{"from_index":257,"to_index":997,"sum":274088,"residue":338},{"from_index":997,"to_index":1737,"sum":273723,"residue":703},{"from_index":1737,"to_index":257,"sum":260583,"residue":703}],"minimal_cycle":[338,703,703],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[257,997],"circle_positions":730,"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":[258,998,1738],"clock_positions":[258,998,1738],"native_values":[484,119,119],"rotation_degrees":41.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[484,119,119],"beta":{"interval_sums":[273631,273996,260491],"interval_residues":[611,246,611],"display_cycle":[611,246,611],"intervals":[{"from_index":258,"to_index":998,"sum":273631,"residue":611},{"from_index":998,"to_index":1738,"sum":273996,"residue":246},{"from_index":1738,"to_index":258,"sum":260491,"residue":611}],"minimal_cycle":[611,246,611],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":611,"start_interval_clock_positions":[258,998],"circle_positions":730,"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":[259,999,1739],"clock_positions":[259,999,1739],"native_values":[511,146,511],"rotation_degrees":42.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[511,146,511],"beta":{"interval_sums":[273239,273969,260464],"interval_residues":[219,219,584],"display_cycle":[219,219,584],"intervals":[{"from_index":259,"to_index":999,"sum":273239,"residue":219},{"from_index":999,"to_index":1739,"sum":273969,"residue":219},{"from_index":1739,"to_index":259,"sum":260464,"residue":584}],"minimal_cycle":[219,219,584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":219,"start_interval_clock_positions":[259,999],"circle_positions":730,"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":[260,1000,1740],"clock_positions":[260,1000,1740],"native_values":[265,265,630],"rotation_degrees":42.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,265,630],"beta":{"interval_sums":[273120,274215,260345],"interval_residues":[100,465,465],"display_cycle":[100,465,465],"intervals":[{"from_index":260,"to_index":1000,"sum":273120,"residue":100},{"from_index":1000,"to_index":1740,"sum":274215,"residue":465},{"from_index":1740,"to_index":260,"sum":260345,"residue":465}],"minimal_cycle":[100,465,465],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":100,"start_interval_clock_positions":[260,1000],"circle_positions":730,"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":[261,1001,1741],"clock_positions":[261,1001,1741],"native_values":[46,411,411],"rotation_degrees":42.32432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[46,411,411],"beta":{"interval_sums":[273339,274434,260199],"interval_residues":[319,684,319],"display_cycle":[319,684,319],"intervals":[{"from_index":261,"to_index":1001,"sum":273339,"residue":319},{"from_index":1001,"to_index":1741,"sum":274434,"residue":684},{"from_index":1741,"to_index":261,"sum":260199,"residue":319}],"minimal_cycle":[319,684,319],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":319,"start_interval_clock_positions":[261,1001],"circle_positions":730,"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":[262,1002,1742],"clock_positions":[262,1002,1742],"native_values":[311,676,311],"rotation_degrees":42.486486486486484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,676,311],"beta":{"interval_sums":[273439,274169,259934],"interval_residues":[419,419,54],"display_cycle":[419,419,54],"intervals":[{"from_index":262,"to_index":1002,"sum":273439,"residue":419},{"from_index":1002,"to_index":1742,"sum":274169,"residue":419},{"from_index":1742,"to_index":262,"sum":259934,"residue":54}],"minimal_cycle":[419,419,54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":419,"start_interval_clock_positions":[262,1002],"circle_positions":730,"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":[263,1003,1743],"clock_positions":[263,1003,1743],"native_values":[357,357,722],"rotation_degrees":42.648648648648646,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,357,722],"beta":{"interval_sums":[273758,274123,259523],"interval_residues":[8,373,373],"display_cycle":[8,373,373],"intervals":[{"from_index":263,"to_index":1003,"sum":273758,"residue":8},{"from_index":1003,"to_index":1743,"sum":274123,"residue":373},{"from_index":1743,"to_index":263,"sum":259523,"residue":373}],"minimal_cycle":[8,373,373],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[263,1003],"circle_positions":730,"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":[264,1004,1744],"clock_positions":[264,1004,1744],"native_values":[668,303,303],"rotation_degrees":42.810810810810814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[668,303,303],"beta":{"interval_sums":[273447,274542,259577],"interval_residues":[427,62,427],"display_cycle":[427,62,427],"intervals":[{"from_index":264,"to_index":1004,"sum":273447,"residue":427},{"from_index":1004,"to_index":1744,"sum":274542,"residue":62},{"from_index":1744,"to_index":264,"sum":259577,"residue":427}],"minimal_cycle":[427,62,427],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":427,"start_interval_clock_positions":[264,1004],"circle_positions":730,"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":[265,1005,1745],"clock_positions":[265,1005,1745],"native_values":[295,660,295],"rotation_degrees":42.972972972972975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,660,295],"beta":{"interval_sums":[273455,274185,259950],"interval_residues":[435,435,70],"display_cycle":[435,435,70],"intervals":[{"from_index":265,"to_index":1005,"sum":273455,"residue":435},{"from_index":1005,"to_index":1745,"sum":274185,"residue":435},{"from_index":1745,"to_index":265,"sum":259950,"residue":70}],"minimal_cycle":[435,435,70],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":435,"start_interval_clock_positions":[265,1005],"circle_positions":730,"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":[266,1006,1746],"clock_positions":[266,1006,1746],"native_values":[233,233,598],"rotation_degrees":43.13513513513514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,233,598],"beta":{"interval_sums":[273882,274247,259647],"interval_residues":[132,497,497],"display_cycle":[132,497,497],"intervals":[{"from_index":266,"to_index":1006,"sum":273882,"residue":132},{"from_index":1006,"to_index":1746,"sum":274247,"residue":497},{"from_index":1746,"to_index":266,"sum":259647,"residue":497}],"minimal_cycle":[132,497,497],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[266,1006],"circle_positions":730,"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":[267,1007,1747],"clock_positions":[267,1007,1747],"native_values":[528,163,163],"rotation_degrees":43.2972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[528,163,163],"beta":{"interval_sums":[273587,274682,259717],"interval_residues":[567,202,567],"display_cycle":[567,202,567],"intervals":[{"from_index":267,"to_index":1007,"sum":273587,"residue":567},{"from_index":1007,"to_index":1747,"sum":274682,"residue":202},{"from_index":1747,"to_index":267,"sum":259717,"residue":567}],"minimal_cycle":[567,202,567],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":567,"start_interval_clock_positions":[267,1007],"circle_positions":730,"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":[268,1008,1748],"clock_positions":[268,1008,1748],"native_values":[31,396,31],"rotation_degrees":43.45945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,396,31],"beta":{"interval_sums":[273719,274449,260214],"interval_residues":[699,699,334],"display_cycle":[699,699,334],"intervals":[{"from_index":268,"to_index":1008,"sum":273719,"residue":699},{"from_index":1008,"to_index":1748,"sum":274449,"residue":699},{"from_index":1748,"to_index":268,"sum":260214,"residue":334}],"minimal_cycle":[699,699,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":699,"start_interval_clock_positions":[268,1008],"circle_positions":730,"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":[269,1009,1749],"clock_positions":[269,1009,1749],"native_values":[559,559,194],"rotation_degrees":43.62162162162162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[559,559,194],"beta":{"interval_sums":[273556,273921,260051],"interval_residues":[536,171,171],"display_cycle":[536,171,171],"intervals":[{"from_index":269,"to_index":1009,"sum":273556,"residue":536},{"from_index":1009,"to_index":1749,"sum":273921,"residue":171},{"from_index":1749,"to_index":269,"sum":260051,"residue":171}],"minimal_cycle":[536,171,171],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":536,"start_interval_clock_positions":[269,1009],"circle_positions":730,"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":[270,1010,1750],"clock_positions":[270,1010,1750],"native_values":[590,225,225],"rotation_degrees":43.78378378378378,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[590,225,225],"beta":{"interval_sums":[273525,273890,260385],"interval_residues":[505,140,505],"display_cycle":[505,140,505],"intervals":[{"from_index":270,"to_index":1010,"sum":273525,"residue":505},{"from_index":1010,"to_index":1750,"sum":273890,"residue":140},{"from_index":1750,"to_index":270,"sum":260385,"residue":505}],"minimal_cycle":[505,140,505],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":505,"start_interval_clock_positions":[270,1010],"circle_positions":730,"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":[271,1011,1751],"clock_positions":[271,1011,1751],"native_values":[419,54,419],"rotation_degrees":43.945945945945944,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[419,54,419],"beta":{"interval_sums":[273331,274061,260556],"interval_residues":[311,311,676],"display_cycle":[311,311,676],"intervals":[{"from_index":271,"to_index":1011,"sum":273331,"residue":311},{"from_index":1011,"to_index":1751,"sum":274061,"residue":311},{"from_index":1751,"to_index":271,"sum":260556,"residue":676}],"minimal_cycle":[311,311,676],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":311,"start_interval_clock_positions":[271,1011],"circle_positions":730,"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":[272,1012,1752],"clock_positions":[272,1012,1752],"native_values":[279,279,644],"rotation_degrees":44.108108108108105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,279,644],"beta":{"interval_sums":[273106,274201,260331],"interval_residues":[86,451,451],"display_cycle":[86,451,451],"intervals":[{"from_index":272,"to_index":1012,"sum":273106,"residue":86},{"from_index":1012,"to_index":1752,"sum":274201,"residue":451},{"from_index":1752,"to_index":272,"sum":260331,"residue":451}],"minimal_cycle":[86,451,451],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":86,"start_interval_clock_positions":[272,1012],"circle_positions":730,"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":[273,1013,1753],"clock_positions":[273,1013,1753],"native_values":[698,333,333],"rotation_degrees":44.270270270270274,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[698,333,333],"beta":{"interval_sums":[272687,274512,260277],"interval_residues":[397,32,397],"display_cycle":[397,32,397],"intervals":[{"from_index":273,"to_index":1013,"sum":272687,"residue":397},{"from_index":1013,"to_index":1753,"sum":274512,"residue":32},{"from_index":1753,"to_index":273,"sum":260277,"residue":397}],"minimal_cycle":[397,32,397],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":397,"start_interval_clock_positions":[273,1013],"circle_positions":730,"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":[274,1014,1754],"clock_positions":[274,1014,1754],"native_values":[247,612,247],"rotation_degrees":44.432432432432435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,612,247],"beta":{"interval_sums":[272773,274233,260728],"interval_residues":[483,483,118],"display_cycle":[483,483,118],"intervals":[{"from_index":274,"to_index":1014,"sum":272773,"residue":483},{"from_index":1014,"to_index":1754,"sum":274233,"residue":483},{"from_index":1754,"to_index":274,"sum":260728,"residue":118}],"minimal_cycle":[483,483,118],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":483,"start_interval_clock_positions":[274,1014],"circle_positions":730,"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":[275,1015,1755],"clock_positions":[275,1015,1755],"native_values":[215,215,580],"rotation_degrees":44.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[215,215,580],"beta":{"interval_sums":[273170,274265,260395],"interval_residues":[150,515,515],"display_cycle":[150,515,515],"intervals":[{"from_index":275,"to_index":1015,"sum":273170,"residue":150},{"from_index":1015,"to_index":1755,"sum":274265,"residue":515},{"from_index":1755,"to_index":275,"sum":260395,"residue":515}],"minimal_cycle":[150,515,515],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[275,1015],"circle_positions":730,"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":[276,1016,1756],"clock_positions":[276,1016,1756],"native_values":[462,97,97],"rotation_degrees":44.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[462,97,97],"beta":{"interval_sums":[272923,274748,260513],"interval_residues":[633,268,633],"display_cycle":[633,268,633],"intervals":[{"from_index":276,"to_index":1016,"sum":272923,"residue":633},{"from_index":1016,"to_index":1756,"sum":274748,"residue":268},{"from_index":1756,"to_index":276,"sum":260513,"residue":633}],"minimal_cycle":[633,268,633],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":633,"start_interval_clock_positions":[276,1016],"circle_positions":730,"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":[277,1017,1757],"clock_positions":[277,1017,1757],"native_values":[677,312,677],"rotation_degrees":44.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[677,312,677],"beta":{"interval_sums":[272343,274533,260298],"interval_residues":[53,53,418],"display_cycle":[53,53,418],"intervals":[{"from_index":277,"to_index":1017,"sum":272343,"residue":53},{"from_index":1017,"to_index":1757,"sum":274533,"residue":53},{"from_index":1757,"to_index":277,"sum":260298,"residue":418}],"minimal_cycle":[53,53,418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":53,"start_interval_clock_positions":[277,1017],"circle_positions":730,"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":[278,1018,1758],"clock_positions":[278,1018,1758],"native_values":[409,409,44],"rotation_degrees":45.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,409,44],"beta":{"interval_sums":[272246,274801,260931],"interval_residues":[686,321,321],"display_cycle":[686,321,321],"intervals":[{"from_index":278,"to_index":1018,"sum":272246,"residue":686},{"from_index":1018,"to_index":1758,"sum":274801,"residue":321},{"from_index":1758,"to_index":278,"sum":260931,"residue":321}],"minimal_cycle":[686,321,321],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":686,"start_interval_clock_positions":[278,1018],"circle_positions":730,"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":[279,1019,1759],"clock_positions":[279,1019,1759],"native_values":[356,721,721],"rotation_degrees":45.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[356,721,721],"beta":{"interval_sums":[272299,274124,260619],"interval_residues":[9,374,9],"display_cycle":[9,374,9],"intervals":[{"from_index":279,"to_index":1019,"sum":272299,"residue":9},{"from_index":1019,"to_index":1759,"sum":274124,"residue":374},{"from_index":1759,"to_index":279,"sum":260619,"residue":9}],"minimal_cycle":[9,374,9],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":9,"start_interval_clock_positions":[279,1019],"circle_positions":730,"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":[280,1020,1760],"clock_positions":[280,1020,1760],"native_values":[35,400,35],"rotation_degrees":45.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[35,400,35],"beta":{"interval_sums":[272985,274445,260940],"interval_residues":[695,695,330],"display_cycle":[695,695,330],"intervals":[{"from_index":280,"to_index":1020,"sum":272985,"residue":695},{"from_index":1020,"to_index":1760,"sum":274445,"residue":695},{"from_index":1760,"to_index":280,"sum":260940,"residue":330}],"minimal_cycle":[695,695,330],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":695,"start_interval_clock_positions":[280,1020],"circle_positions":730,"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":[281,1021,1761],"clock_positions":[281,1021,1761],"native_values":[391,391,26],"rotation_degrees":45.567567567567565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,391,26],"beta":{"interval_sums":[272994,274089,260949],"interval_residues":[704,339,339],"display_cycle":[704,339,339],"intervals":[{"from_index":281,"to_index":1021,"sum":272994,"residue":704},{"from_index":1021,"to_index":1761,"sum":274089,"residue":339},{"from_index":1761,"to_index":281,"sum":260949,"residue":339}],"minimal_cycle":[704,339,339],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":704,"start_interval_clock_positions":[281,1021],"circle_positions":730,"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":[282,1022,1762],"clock_positions":[282,1022,1762],"native_values":[426,61,61],"rotation_degrees":45.729729729729726,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[426,61,61],"beta":{"interval_sums":[272959,274054,261279],"interval_residues":[669,304,669],"display_cycle":[669,304,669],"intervals":[{"from_index":282,"to_index":1022,"sum":272959,"residue":669},{"from_index":1022,"to_index":1762,"sum":274054,"residue":304},{"from_index":1762,"to_index":282,"sum":261279,"residue":669}],"minimal_cycle":[669,304,669],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":669,"start_interval_clock_positions":[282,1022],"circle_positions":730,"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":[283,1023,1763],"clock_positions":[283,1023,1763],"native_values":[87,452,87],"rotation_degrees":45.891891891891895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[87,452,87],"beta":{"interval_sums":[272933,273663,261618],"interval_residues":[643,643,278],"display_cycle":[643,643,278],"intervals":[{"from_index":283,"to_index":1023,"sum":272933,"residue":643},{"from_index":1023,"to_index":1763,"sum":273663,"residue":643},{"from_index":1763,"to_index":283,"sum":261618,"residue":278}],"minimal_cycle":[643,643,278],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":643,"start_interval_clock_positions":[283,1023],"circle_positions":730,"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":[284,1024,1764],"clock_positions":[284,1024,1764],"native_values":[513,513,148],"rotation_degrees":46.054054054054056,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,513,148],"beta":{"interval_sums":[272872,273237,261557],"interval_residues":[582,217,217],"display_cycle":[582,217,217],"intervals":[{"from_index":284,"to_index":1024,"sum":272872,"residue":582},{"from_index":1024,"to_index":1764,"sum":273237,"residue":217},{"from_index":1764,"to_index":284,"sum":261557,"residue":217}],"minimal_cycle":[582,217,217],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":582,"start_interval_clock_positions":[284,1024],"circle_positions":730,"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":[285,1025,1765],"clock_positions":[285,1025,1765],"native_values":[600,235,235],"rotation_degrees":46.21621621621622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[600,235,235],"beta":{"interval_sums":[272785,273150,261835],"interval_residues":[495,130,495],"display_cycle":[495,130,495],"intervals":[{"from_index":285,"to_index":1025,"sum":272785,"residue":495},{"from_index":1025,"to_index":1765,"sum":273150,"residue":130},{"from_index":1765,"to_index":285,"sum":261835,"residue":495}],"minimal_cycle":[495,130,495],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":495,"start_interval_clock_positions":[285,1025],"circle_positions":730,"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":[286,1026,1766],"clock_positions":[286,1026,1766],"native_values":[383,18,383],"rotation_degrees":46.37837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[383,18,383],"beta":{"interval_sums":[272637,273367,262052],"interval_residues":[347,347,712],"display_cycle":[347,347,712],"intervals":[{"from_index":286,"to_index":1026,"sum":272637,"residue":347},{"from_index":1026,"to_index":1766,"sum":273367,"residue":347},{"from_index":1766,"to_index":286,"sum":262052,"residue":712}],"minimal_cycle":[347,347,712],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":347,"start_interval_clock_positions":[286,1026],"circle_positions":730,"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":[287,1027,1767],"clock_positions":[287,1027,1767],"native_values":[253,253,618],"rotation_degrees":46.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[253,253,618],"beta":{"interval_sums":[272402,273497,261817],"interval_residues":[112,477,477],"display_cycle":[112,477,477],"intervals":[{"from_index":287,"to_index":1027,"sum":272402,"residue":112},{"from_index":1027,"to_index":1767,"sum":273497,"residue":477},{"from_index":1767,"to_index":287,"sum":261817,"residue":477}],"minimal_cycle":[112,477,477],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":112,"start_interval_clock_positions":[287,1027],"circle_positions":730,"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":[288,1028,1768],"clock_positions":[288,1028,1768],"native_values":[636,271,271],"rotation_degrees":46.7027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[636,271,271],"beta":{"interval_sums":[272019,273844,261799],"interval_residues":[459,94,459],"display_cycle":[459,94,459],"intervals":[{"from_index":288,"to_index":1028,"sum":272019,"residue":459},{"from_index":1028,"to_index":1768,"sum":273844,"residue":94},{"from_index":1768,"to_index":288,"sum":261799,"residue":459}],"minimal_cycle":[459,94,459],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":459,"start_interval_clock_positions":[288,1028],"circle_positions":730,"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":[289,1029,1769],"clock_positions":[289,1029,1769],"native_values":[159,524,159],"rotation_degrees":46.86486486486486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[159,524,159],"beta":{"interval_sums":[272131,273591,262276],"interval_residues":[571,571,206],"display_cycle":[571,571,206],"intervals":[{"from_index":289,"to_index":1029,"sum":272131,"residue":571},{"from_index":1029,"to_index":1769,"sum":273591,"residue":571},{"from_index":1769,"to_index":289,"sum":262276,"residue":206}],"minimal_cycle":[571,571,206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":571,"start_interval_clock_positions":[289,1029],"circle_positions":730,"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":[290,1030,1770],"clock_positions":[290,1030,1770],"native_values":[65,65,430],"rotation_degrees":47.027027027027025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,65,430],"beta":{"interval_sums":[272590,273685,262005],"interval_residues":[300,665,665],"display_cycle":[300,665,665],"intervals":[{"from_index":290,"to_index":1030,"sum":272590,"residue":300},{"from_index":1030,"to_index":1770,"sum":273685,"residue":665},{"from_index":1770,"to_index":290,"sum":262005,"residue":665}],"minimal_cycle":[300,665,665],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":300,"start_interval_clock_positions":[290,1030],"circle_positions":730,"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":[291,1031,1771],"clock_positions":[291,1031,1771],"native_values":[224,589,589],"rotation_degrees":47.189189189189186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[224,589,589],"beta":{"interval_sums":[272431,273526,261481],"interval_residues":[141,506,141],"display_cycle":[141,506,141],"intervals":[{"from_index":291,"to_index":1031,"sum":272431,"residue":141},{"from_index":1031,"to_index":1771,"sum":273526,"residue":506},{"from_index":1771,"to_index":291,"sum":261481,"residue":141}],"minimal_cycle":[141,506,141],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":141,"start_interval_clock_positions":[291,1031],"circle_positions":730,"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":[292,1032,1772],"clock_positions":[292,1032,1772],"native_values":[289,654,289],"rotation_degrees":47.351351351351354,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[289,654,289],"beta":{"interval_sums":[272731,273461,261416],"interval_residues":[441,441,76],"display_cycle":[441,441,76],"intervals":[{"from_index":292,"to_index":1032,"sum":272731,"residue":441},{"from_index":1032,"to_index":1772,"sum":273461,"residue":441},{"from_index":1772,"to_index":292,"sum":261416,"residue":76}],"minimal_cycle":[441,441,76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":441,"start_interval_clock_positions":[292,1032],"circle_positions":730,"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":[293,1033,1773],"clock_positions":[293,1033,1773],"native_values":[513,513,148],"rotation_degrees":47.513513513513516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,513,148],"beta":{"interval_sums":[272872,273237,261557],"interval_residues":[582,217,217],"display_cycle":[582,217,217],"intervals":[{"from_index":293,"to_index":1033,"sum":272872,"residue":582},{"from_index":1033,"to_index":1773,"sum":273237,"residue":217},{"from_index":1773,"to_index":293,"sum":261557,"residue":217}],"minimal_cycle":[582,217,217],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":582,"start_interval_clock_positions":[293,1033],"circle_positions":730,"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":[294,1034,1774],"clock_positions":[294,1034,1774],"native_values":[72,437,437],"rotation_degrees":47.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[72,437,437],"beta":{"interval_sums":[273313,272948,261633],"interval_residues":[293,658,293],"display_cycle":[293,658,293],"intervals":[{"from_index":294,"to_index":1034,"sum":273313,"residue":293},{"from_index":1034,"to_index":1774,"sum":272948,"residue":658},{"from_index":1774,"to_index":294,"sum":261633,"residue":293}],"minimal_cycle":[293,658,293],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":293,"start_interval_clock_positions":[294,1034],"circle_positions":730,"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":[295,1035,1775],"clock_positions":[295,1035,1775],"native_values":[585,220,585],"rotation_degrees":47.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[585,220,585],"beta":{"interval_sums":[273165,273165,261120],"interval_residues":[145,145,510],"display_cycle":[145,145,510],"intervals":[{"from_index":295,"to_index":1035,"sum":273165,"residue":145},{"from_index":1035,"to_index":1775,"sum":273165,"residue":145},{"from_index":1775,"to_index":295,"sum":261120,"residue":510}],"minimal_cycle":[145,145,510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":145,"start_interval_clock_positions":[295,1035],"circle_positions":730,"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":[296,1036,1776],"clock_positions":[296,1036,1776],"native_values":[657,657,292],"rotation_degrees":48.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,657,292],"beta":{"interval_sums":[272728,273093,261413],"interval_residues":[438,73,73],"display_cycle":[438,73,73],"intervals":[{"from_index":296,"to_index":1036,"sum":272728,"residue":438},{"from_index":1036,"to_index":1776,"sum":273093,"residue":73},{"from_index":1776,"to_index":296,"sum":261413,"residue":73}],"minimal_cycle":[438,73,73],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":438,"start_interval_clock_positions":[296,1036],"circle_positions":730,"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":[297,1037,1777],"clock_positions":[297,1037,1777],"native_values":[512,147,147],"rotation_degrees":48.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[512,147,147],"beta":{"interval_sums":[272873,273238,261923],"interval_residues":[583,218,583],"display_cycle":[583,218,583],"intervals":[{"from_index":297,"to_index":1037,"sum":272873,"residue":583},{"from_index":1037,"to_index":1777,"sum":273238,"residue":218},{"from_index":1777,"to_index":297,"sum":261923,"residue":583}],"minimal_cycle":[583,218,583],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":583,"start_interval_clock_positions":[297,1037],"circle_positions":730,"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":[298,1038,1778],"clock_positions":[298,1038,1778],"native_values":[439,74,439],"rotation_degrees":48.32432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[439,74,439],"beta":{"interval_sums":[272581,273311,261996],"interval_residues":[291,291,656],"display_cycle":[291,291,656],"intervals":[{"from_index":298,"to_index":1038,"sum":272581,"residue":291},{"from_index":1038,"to_index":1778,"sum":273311,"residue":291},{"from_index":1778,"to_index":298,"sum":261996,"residue":656}],"minimal_cycle":[291,291,656],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":291,"start_interval_clock_positions":[298,1038],"circle_positions":730,"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":[299,1039,1779],"clock_positions":[299,1039,1779],"native_values":[221,221,586],"rotation_degrees":48.486486486486484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,221,586],"beta":{"interval_sums":[272434,273529,261849],"interval_residues":[144,509,509],"display_cycle":[144,509,509],"intervals":[{"from_index":299,"to_index":1039,"sum":272434,"residue":144},{"from_index":1039,"to_index":1779,"sum":273529,"residue":509},{"from_index":1779,"to_index":299,"sum":261849,"residue":509}],"minimal_cycle":[144,509,509],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[299,1039],"circle_positions":730,"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":[300,1040,1780],"clock_positions":[300,1040,1780],"native_values":[660,295,295],"rotation_degrees":48.648648648648646,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[660,295,295],"beta":{"interval_sums":[271995,273820,261775],"interval_residues":[435,70,435],"display_cycle":[435,70,435],"intervals":[{"from_index":300,"to_index":1040,"sum":271995,"residue":435},{"from_index":1040,"to_index":1780,"sum":273820,"residue":70},{"from_index":1780,"to_index":300,"sum":261775,"residue":435}],"minimal_cycle":[435,70,435],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":435,"start_interval_clock_positions":[300,1040],"circle_positions":730,"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":[301,1041,1781],"clock_positions":[301,1041,1781],"native_values":[151,516,151],"rotation_degrees":48.810810810810814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,516,151],"beta":{"interval_sums":[272139,273599,262284],"interval_residues":[579,579,214],"display_cycle":[579,579,214],"intervals":[{"from_index":301,"to_index":1041,"sum":272139,"residue":579},{"from_index":1041,"to_index":1781,"sum":273599,"residue":579},{"from_index":1781,"to_index":301,"sum":262284,"residue":214}],"minimal_cycle":[579,579,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":579,"start_interval_clock_positions":[301,1041],"circle_positions":730,"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":[302,1042,1782],"clock_positions":[302,1042,1782],"native_values":[81,81,446],"rotation_degrees":48.972972972972975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,81,446],"beta":{"interval_sums":[272574,273669,261989],"interval_residues":[284,649,649],"display_cycle":[284,649,649],"intervals":[{"from_index":302,"to_index":1042,"sum":272574,"residue":284},{"from_index":1042,"to_index":1782,"sum":273669,"residue":649},{"from_index":1782,"to_index":302,"sum":261989,"residue":649}],"minimal_cycle":[284,649,649],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":284,"start_interval_clock_positions":[302,1042],"circle_positions":730,"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":[303,1043,1783],"clock_positions":[303,1043,1783],"native_values":[232,597,597],"rotation_degrees":49.13513513513514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[232,597,597],"beta":{"interval_sums":[272423,273518,261473],"interval_residues":[133,498,133],"display_cycle":[133,498,133],"intervals":[{"from_index":303,"to_index":1043,"sum":272423,"residue":133},{"from_index":1043,"to_index":1783,"sum":273518,"residue":498},{"from_index":1783,"to_index":303,"sum":261473,"residue":133}],"minimal_cycle":[133,498,133],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":133,"start_interval_clock_positions":[303,1043],"circle_positions":730,"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":[304,1044,1784],"clock_positions":[304,1044,1784],"native_values":[313,678,313],"rotation_degrees":49.2972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,678,313],"beta":{"interval_sums":[272707,273437,261392],"interval_residues":[417,417,52],"display_cycle":[417,417,52],"intervals":[{"from_index":304,"to_index":1044,"sum":272707,"residue":417},{"from_index":1044,"to_index":1784,"sum":273437,"residue":417},{"from_index":1784,"to_index":304,"sum":261392,"residue":52}],"minimal_cycle":[417,417,52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":417,"start_interval_clock_positions":[304,1044],"circle_positions":730,"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":[305,1045,1785],"clock_positions":[305,1045,1785],"native_values":[545,545,180],"rotation_degrees":49.45945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,545,180],"beta":{"interval_sums":[272840,273205,261525],"interval_residues":[550,185,185],"display_cycle":[550,185,185],"intervals":[{"from_index":305,"to_index":1045,"sum":272840,"residue":550},{"from_index":1045,"to_index":1785,"sum":273205,"residue":185},{"from_index":1785,"to_index":305,"sum":261525,"residue":185}],"minimal_cycle":[550,185,185],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":550,"start_interval_clock_positions":[305,1045],"circle_positions":730,"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":[306,1046,1786],"clock_positions":[306,1046,1786],"native_values":[128,493,493],"rotation_degrees":49.62162162162162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[128,493,493],"beta":{"interval_sums":[273257,272892,261577],"interval_residues":[237,602,237],"display_cycle":[237,602,237],"intervals":[{"from_index":306,"to_index":1046,"sum":273257,"residue":237},{"from_index":1046,"to_index":1786,"sum":272892,"residue":602},{"from_index":1786,"to_index":306,"sum":261577,"residue":237}],"minimal_cycle":[237,602,237],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":237,"start_interval_clock_positions":[306,1046],"circle_positions":730,"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":[307,1047,1787],"clock_positions":[307,1047,1787],"native_values":[673,308,673],"rotation_degrees":49.78378378378378,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[673,308,673],"beta":{"interval_sums":[273077,273077,261032],"interval_residues":[57,57,422],"display_cycle":[57,57,422],"intervals":[{"from_index":307,"to_index":1047,"sum":273077,"residue":57},{"from_index":1047,"to_index":1787,"sum":273077,"residue":57},{"from_index":1787,"to_index":307,"sum":261032,"residue":422}],"minimal_cycle":[57,57,422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":57,"start_interval_clock_positions":[307,1047],"circle_positions":730,"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":[308,1048,1788],"clock_positions":[308,1048,1788],"native_values":[71,71,436],"rotation_degrees":49.945945945945944,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[71,71,436],"beta":{"interval_sums":[273314,273679,261269],"interval_residues":[294,659,659],"display_cycle":[294,659,659],"intervals":[{"from_index":308,"to_index":1048,"sum":273314,"residue":294},{"from_index":1048,"to_index":1788,"sum":273679,"residue":659},{"from_index":1788,"to_index":308,"sum":261269,"residue":659}],"minimal_cycle":[294,659,659],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[308,1048],"circle_positions":730,"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":[309,1049,1789],"clock_positions":[309,1049,1789],"native_values":[14,379,379],"rotation_degrees":50.108108108108105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[14,379,379],"beta":{"interval_sums":[273371,273736,260961],"interval_residues":[351,716,351],"display_cycle":[351,716,351],"intervals":[{"from_index":309,"to_index":1049,"sum":273371,"residue":351},{"from_index":1049,"to_index":1789,"sum":273736,"residue":716},{"from_index":1789,"to_index":309,"sum":260961,"residue":351}],"minimal_cycle":[351,716,351],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":351,"start_interval_clock_positions":[309,1049],"circle_positions":730,"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":[310,1050,1790],"clock_positions":[310,1050,1790],"native_values":[85,450,85],"rotation_degrees":50.270270270270274,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,450,85],"beta":{"interval_sums":[273665,273665,260890],"interval_residues":[645,645,280],"display_cycle":[645,645,280],"intervals":[{"from_index":310,"to_index":1050,"sum":273665,"residue":645},{"from_index":1050,"to_index":1790,"sum":273665,"residue":645},{"from_index":1790,"to_index":310,"sum":260890,"residue":280}],"minimal_cycle":[645,645,280],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":645,"start_interval_clock_positions":[310,1050],"circle_positions":730,"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":[311,1051,1791],"clock_positions":[311,1051,1791],"native_values":[99,99,464],"rotation_degrees":50.432432432432435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[99,99,464],"beta":{"interval_sums":[274016,273651,260511],"interval_residues":[266,631,631],"display_cycle":[266,631,631],"intervals":[{"from_index":311,"to_index":1051,"sum":274016,"residue":266},{"from_index":1051,"to_index":1791,"sum":273651,"residue":631},{"from_index":1791,"to_index":311,"sum":260511,"residue":631}],"minimal_cycle":[266,631,631],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[311,1051],"circle_positions":730,"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":[312,1052,1792],"clock_positions":[312,1052,1792],"native_values":[184,549,549],"rotation_degrees":50.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[184,549,549],"beta":{"interval_sums":[273931,273566,260061],"interval_residues":[181,546,181],"display_cycle":[181,546,181],"intervals":[{"from_index":312,"to_index":1052,"sum":273931,"residue":181},{"from_index":1052,"to_index":1792,"sum":273566,"residue":546},{"from_index":1792,"to_index":312,"sum":260061,"residue":181}],"minimal_cycle":[181,546,181],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":181,"start_interval_clock_positions":[312,1052],"circle_positions":730,"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":[313,1053,1793],"clock_positions":[313,1053,1793],"native_values":[283,648,283],"rotation_degrees":50.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,648,283],"beta":{"interval_sums":[274197,273467,259962],"interval_residues":[447,447,82],"display_cycle":[447,447,82],"intervals":[{"from_index":313,"to_index":1053,"sum":274197,"residue":447},{"from_index":1053,"to_index":1793,"sum":273467,"residue":447},{"from_index":1793,"to_index":313,"sum":259962,"residue":82}],"minimal_cycle":[447,447,82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":447,"start_interval_clock_positions":[313,1053],"circle_positions":730,"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":[314,1054,1794],"clock_positions":[314,1054,1794],"native_values":[467,467,102],"rotation_degrees":50.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[467,467,102],"beta":{"interval_sums":[274378,273283,260143],"interval_residues":[628,263,263],"display_cycle":[628,263,263],"intervals":[{"from_index":314,"to_index":1054,"sum":274378,"residue":628},{"from_index":1054,"to_index":1794,"sum":273283,"residue":263},{"from_index":1794,"to_index":314,"sum":260143,"residue":263}],"minimal_cycle":[628,263,263],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[314,1054],"circle_positions":730,"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":[315,1055,1795],"clock_positions":[315,1055,1795],"native_values":[20,385,385],"rotation_degrees":51.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[20,385,385],"beta":{"interval_sums":[274825,273000,260225],"interval_residues":[345,710,345],"display_cycle":[345,710,345],"intervals":[{"from_index":315,"to_index":1055,"sum":274825,"residue":345},{"from_index":1055,"to_index":1795,"sum":273000,"residue":710},{"from_index":1795,"to_index":315,"sum":260225,"residue":345}],"minimal_cycle":[345,710,345],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":345,"start_interval_clock_positions":[315,1055],"circle_positions":730,"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":[316,1056,1796],"clock_positions":[316,1056,1796],"native_values":[487,122,487],"rotation_degrees":51.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[487,122,487],"beta":{"interval_sums":[274723,273263,259758],"interval_residues":[243,243,608],"display_cycle":[243,243,608],"intervals":[{"from_index":316,"to_index":1056,"sum":274723,"residue":243},{"from_index":1056,"to_index":1796,"sum":273263,"residue":243},{"from_index":1796,"to_index":316,"sum":259758,"residue":608}],"minimal_cycle":[243,243,608],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":243,"start_interval_clock_positions":[316,1056],"circle_positions":730,"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":[317,1057,1797],"clock_positions":[317,1057,1797],"native_values":[507,507,142],"rotation_degrees":51.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[507,507,142],"beta":{"interval_sums":[274338,273243,260103],"interval_residues":[588,223,223],"display_cycle":[588,223,223],"intervals":[{"from_index":317,"to_index":1057,"sum":274338,"residue":588},{"from_index":1057,"to_index":1797,"sum":273243,"residue":223},{"from_index":1797,"to_index":317,"sum":260103,"residue":223}],"minimal_cycle":[588,223,223],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[317,1057],"circle_positions":730,"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":[318,1058,1798],"clock_positions":[318,1058,1798],"native_values":[264,629,629],"rotation_degrees":51.567567567567565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[264,629,629],"beta":{"interval_sums":[274581,272756,259981],"interval_residues":[101,466,101],"display_cycle":[101,466,101],"intervals":[{"from_index":318,"to_index":1058,"sum":274581,"residue":101},{"from_index":1058,"to_index":1798,"sum":272756,"residue":466},{"from_index":1798,"to_index":318,"sum":259981,"residue":101}],"minimal_cycle":[101,466,101],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":101,"start_interval_clock_positions":[318,1058],"circle_positions":730,"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":[319,1059,1799],"clock_positions":[319,1059,1799],"native_values":[41,406,41],"rotation_degrees":51.729729729729726,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,406,41],"beta":{"interval_sums":[275169,272979,260204],"interval_residues":[689,689,324],"display_cycle":[689,689,324],"intervals":[{"from_index":319,"to_index":1059,"sum":275169,"residue":689},{"from_index":1059,"to_index":1799,"sum":272979,"residue":689},{"from_index":1799,"to_index":319,"sum":260204,"residue":324}],"minimal_cycle":[689,689,324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":689,"start_interval_clock_positions":[319,1059],"circle_positions":730,"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":[320,1060,1800],"clock_positions":[320,1060,1800],"native_values":[305,305,670],"rotation_degrees":51.891891891891895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,305,670],"beta":{"interval_sums":[275270,272715,259575],"interval_residues":[60,425,425],"display_cycle":[60,425,425],"intervals":[{"from_index":320,"to_index":1060,"sum":275270,"residue":60},{"from_index":1060,"to_index":1800,"sum":272715,"residue":425},{"from_index":1800,"to_index":320,"sum":259575,"residue":425}],"minimal_cycle":[60,425,425],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[320,1060],"circle_positions":730,"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":[321,1061,1801],"clock_positions":[321,1061,1801],"native_values":[346,711,711],"rotation_degrees":52.054054054054056,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[346,711,711],"beta":{"interval_sums":[275229,272674,259169],"interval_residues":[19,384,19],"display_cycle":[19,384,19],"intervals":[{"from_index":321,"to_index":1061,"sum":275229,"residue":19},{"from_index":1061,"to_index":1801,"sum":272674,"residue":384},{"from_index":1801,"to_index":321,"sum":259169,"residue":19}],"minimal_cycle":[19,384,19],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":19,"start_interval_clock_positions":[321,1061],"circle_positions":730,"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":[322,1062,1802],"clock_positions":[322,1062,1802],"native_values":[651,286,651],"rotation_degrees":52.21621621621622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[651,286,651],"beta":{"interval_sums":[275289,273099,258864],"interval_residues":[79,79,444],"display_cycle":[79,79,444],"intervals":[{"from_index":322,"to_index":1062,"sum":275289,"residue":79},{"from_index":1062,"to_index":1802,"sum":273099,"residue":79},{"from_index":1802,"to_index":322,"sum":258864,"residue":444}],"minimal_cycle":[79,79,444],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":79,"start_interval_clock_positions":[322,1062],"circle_positions":730,"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":[323,1063,1803],"clock_positions":[323,1063,1803],"native_values":[267,267,632],"rotation_degrees":52.37837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[267,267,632],"beta":{"interval_sums":[275308,273483,258883],"interval_residues":[98,463,463],"display_cycle":[98,463,463],"intervals":[{"from_index":323,"to_index":1063,"sum":275308,"residue":98},{"from_index":1063,"to_index":1803,"sum":273483,"residue":463},{"from_index":1803,"to_index":323,"sum":258883,"residue":463}],"minimal_cycle":[98,463,463],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":98,"start_interval_clock_positions":[323,1063],"circle_positions":730,"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":[324,1064,1804],"clock_positions":[324,1064,1804],"native_values":[188,553,553],"rotation_degrees":52.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[188,553,553],"beta":{"interval_sums":[275387,273562,258597],"interval_residues":[177,542,177],"display_cycle":[177,542,177],"intervals":[{"from_index":324,"to_index":1064,"sum":275387,"residue":177},{"from_index":1064,"to_index":1804,"sum":273562,"residue":542},{"from_index":1804,"to_index":324,"sum":258597,"residue":177}],"minimal_cycle":[177,542,177],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":177,"start_interval_clock_positions":[324,1064],"circle_positions":730,"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":[325,1065,1805],"clock_positions":[325,1065,1805],"native_values":[455,90,455],"rotation_degrees":52.7027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[455,90,455],"beta":{"interval_sums":[275485,274025,258330],"interval_residues":[275,275,640],"display_cycle":[275,275,640],"intervals":[{"from_index":325,"to_index":1065,"sum":275485,"residue":275},{"from_index":1065,"to_index":1805,"sum":274025,"residue":275},{"from_index":1805,"to_index":325,"sum":258330,"residue":640}],"minimal_cycle":[275,275,640],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":275,"start_interval_clock_positions":[325,1065],"circle_positions":730,"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":[326,1066,1806],"clock_positions":[326,1066,1806],"native_values":[643,643,278],"rotation_degrees":52.86486486486486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[643,643,278],"beta":{"interval_sums":[274932,273837,258507],"interval_residues":[452,87,87],"display_cycle":[452,87,87],"intervals":[{"from_index":326,"to_index":1066,"sum":274932,"residue":452},{"from_index":1066,"to_index":1806,"sum":273837,"residue":87},{"from_index":1806,"to_index":326,"sum":258507,"residue":87}],"minimal_cycle":[452,87,87],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[326,1066],"circle_positions":730,"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":[327,1067,1807],"clock_positions":[327,1067,1807],"native_values":[368,3,3],"rotation_degrees":53.027027027027025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[368,3,3],"beta":{"interval_sums":[275207,274112,259147],"interval_residues":[727,362,727],"display_cycle":[727,362,727],"intervals":[{"from_index":327,"to_index":1067,"sum":275207,"residue":727},{"from_index":1067,"to_index":1807,"sum":274112,"residue":362},{"from_index":1807,"to_index":327,"sum":259147,"residue":727}],"minimal_cycle":[727,362,727],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":727,"start_interval_clock_positions":[327,1067],"circle_positions":730,"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":[328,1068,1808],"clock_positions":[328,1068,1808],"native_values":[281,646,281],"rotation_degrees":53.189189189189186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[281,646,281],"beta":{"interval_sums":[274929,273469,259234],"interval_residues":[449,449,84],"display_cycle":[449,449,84],"intervals":[{"from_index":328,"to_index":1068,"sum":274929,"residue":449},{"from_index":1068,"to_index":1808,"sum":273469,"residue":449},{"from_index":1808,"to_index":328,"sum":259234,"residue":84}],"minimal_cycle":[449,449,84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":449,"start_interval_clock_positions":[328,1068],"circle_positions":730,"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":[329,1069,1809],"clock_positions":[329,1069,1809],"native_values":[649,649,284],"rotation_degrees":53.351351351351354,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[649,649,284],"beta":{"interval_sums":[274926,273101,259231],"interval_residues":[446,81,81],"display_cycle":[446,81,81],"intervals":[{"from_index":329,"to_index":1069,"sum":274926,"residue":446},{"from_index":1069,"to_index":1809,"sum":273101,"residue":81},{"from_index":1809,"to_index":329,"sum":259231,"residue":81}],"minimal_cycle":[446,81,81],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[329,1069],"circle_positions":730,"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":[330,1070,1810],"clock_positions":[330,1070,1810],"native_values":[200,565,565],"rotation_degrees":53.513513513513516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,565,565],"beta":{"interval_sums":[275375,272820,259315],"interval_residues":[165,530,165],"display_cycle":[165,530,165],"intervals":[{"from_index":330,"to_index":1070,"sum":275375,"residue":165},{"from_index":1070,"to_index":1810,"sum":272820,"residue":530},{"from_index":1810,"to_index":330,"sum":259315,"residue":165}],"minimal_cycle":[165,530,165],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":165,"start_interval_clock_positions":[330,1070],"circle_positions":730,"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":[331,1071,1811],"clock_positions":[331,1071,1811],"native_values":[119,484,119],"rotation_degrees":53.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,484,119],"beta":{"interval_sums":[275821,272901,259396],"interval_residues":[611,611,246],"display_cycle":[611,611,246],"intervals":[{"from_index":331,"to_index":1071,"sum":275821,"residue":611},{"from_index":1071,"to_index":1811,"sum":272901,"residue":611},{"from_index":1811,"to_index":331,"sum":259396,"residue":246}],"minimal_cycle":[611,611,246],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":611,"start_interval_clock_positions":[331,1071],"circle_positions":730,"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":[332,1072,1812],"clock_positions":[332,1072,1812],"native_values":[319,319,684],"rotation_degrees":53.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[319,319,684],"beta":{"interval_sums":[275986,272701,258831],"interval_residues":[46,411,411],"display_cycle":[46,411,411],"intervals":[{"from_index":332,"to_index":1072,"sum":275986,"residue":46},{"from_index":1072,"to_index":1812,"sum":272701,"residue":411},{"from_index":1812,"to_index":332,"sum":258831,"residue":411}],"minimal_cycle":[46,411,411],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[332,1072],"circle_positions":730,"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":[333,1073,1813],"clock_positions":[333,1073,1813],"native_values":[438,73,73],"rotation_degrees":54.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[438,73,73],"beta":{"interval_sums":[275867,273312,259077],"interval_residues":[657,292,657],"display_cycle":[657,292,657],"intervals":[{"from_index":333,"to_index":1073,"sum":275867,"residue":657},{"from_index":1073,"to_index":1813,"sum":273312,"residue":292},{"from_index":1813,"to_index":333,"sum":259077,"residue":657}],"minimal_cycle":[657,292,657],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":657,"start_interval_clock_positions":[333,1073],"circle_positions":730,"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":[334,1074,1814],"clock_positions":[334,1074,1814],"native_values":[27,392,27],"rotation_degrees":54.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,392,27],"beta":{"interval_sums":[275913,272993,259488],"interval_residues":[703,703,338],"display_cycle":[703,703,338],"intervals":[{"from_index":334,"to_index":1074,"sum":275913,"residue":703},{"from_index":1074,"to_index":1814,"sum":272993,"residue":703},{"from_index":1814,"to_index":334,"sum":259488,"residue":338}],"minimal_cycle":[703,703,338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":703,"start_interval_clock_positions":[334,1074],"circle_positions":730,"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":[335,1075,1815],"clock_positions":[335,1075,1815],"native_values":[465,465,100],"rotation_degrees":54.32432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[465,465,100],"beta":{"interval_sums":[275840,272555,259415],"interval_residues":[630,265,265],"display_cycle":[630,265,265],"intervals":[{"from_index":335,"to_index":1075,"sum":275840,"residue":630},{"from_index":1075,"to_index":1815,"sum":272555,"residue":265},{"from_index":1815,"to_index":335,"sum":259415,"residue":265}],"minimal_cycle":[630,265,265],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":630,"start_interval_clock_positions":[335,1075],"circle_positions":730,"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":[336,1076,1816],"clock_positions":[336,1076,1816],"native_values":[492,127,127],"rotation_degrees":54.486486486486484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,127,127],"beta":{"interval_sums":[275813,272528,259753],"interval_residues":[603,238,603],"display_cycle":[603,238,603],"intervals":[{"from_index":336,"to_index":1076,"sum":275813,"residue":603},{"from_index":1076,"to_index":1816,"sum":272528,"residue":238},{"from_index":1816,"to_index":336,"sum":259753,"residue":603}],"minimal_cycle":[603,238,603],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":603,"start_interval_clock_positions":[336,1076],"circle_positions":730,"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":[337,1077,1817],"clock_positions":[337,1077,1817],"native_values":[227,592,227],"rotation_degrees":54.648648648648646,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,592,227],"beta":{"interval_sums":[275713,272063,260018],"interval_residues":[503,503,138],"display_cycle":[503,503,138],"intervals":[{"from_index":337,"to_index":1077,"sum":275713,"residue":503},{"from_index":1077,"to_index":1817,"sum":272063,"residue":503},{"from_index":1817,"to_index":337,"sum":260018,"residue":138}],"minimal_cycle":[503,503,138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":503,"start_interval_clock_positions":[337,1077],"circle_positions":730,"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":[338,1078,1818],"clock_positions":[338,1078,1818],"native_values":[719,719,354],"rotation_degrees":54.810810810810814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[719,719,354],"beta":{"interval_sums":[275586,271571,259891],"interval_residues":[376,11,11],"display_cycle":[376,11,11],"intervals":[{"from_index":338,"to_index":1078,"sum":275586,"residue":376},{"from_index":1078,"to_index":1818,"sum":271571,"residue":11},{"from_index":1818,"to_index":338,"sum":259891,"residue":11}],"minimal_cycle":[376,11,11],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":376,"start_interval_clock_positions":[338,1078],"circle_positions":730,"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":[339,1079,1819],"clock_positions":[339,1079,1819],"native_values":[216,581,581],"rotation_degrees":54.972972972972975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[216,581,581],"beta":{"interval_sums":[276089,271344,260029],"interval_residues":[149,514,149],"display_cycle":[149,514,149],"intervals":[{"from_index":339,"to_index":1079,"sum":276089,"residue":149},{"from_index":1079,"to_index":1819,"sum":271344,"residue":514},{"from_index":1819,"to_index":339,"sum":260029,"residue":149}],"minimal_cycle":[149,514,149],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":149,"start_interval_clock_positions":[339,1079],"circle_positions":730,"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":[340,1080,1820],"clock_positions":[340,1080,1820],"native_values":[205,570,205],"rotation_degrees":55.13513513513514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,570,205],"beta":{"interval_sums":[276465,271355,260040],"interval_residues":[525,525,160],"display_cycle":[525,525,160],"intervals":[{"from_index":340,"to_index":1080,"sum":276465,"residue":525},{"from_index":1080,"to_index":1820,"sum":271355,"residue":525},{"from_index":1820,"to_index":340,"sum":260040,"residue":160}],"minimal_cycle":[525,525,160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":525,"start_interval_clock_positions":[340,1080],"circle_positions":730,"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":[341,1081,1821],"clock_positions":[341,1081,1821],"native_values":[421,421,56],"rotation_degrees":55.2972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[421,421,56],"beta":{"interval_sums":[276614,271139,260189],"interval_residues":[674,309,309],"display_cycle":[674,309,309],"intervals":[{"from_index":341,"to_index":1081,"sum":276614,"residue":674},{"from_index":1081,"to_index":1821,"sum":271139,"residue":309},{"from_index":1821,"to_index":341,"sum":260189,"residue":309}],"minimal_cycle":[674,309,309],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":674,"start_interval_clock_positions":[341,1081],"circle_positions":730,"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":[342,1082,1822],"clock_positions":[342,1082,1822],"native_values":[626,261,261],"rotation_degrees":55.45945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[626,261,261],"beta":{"interval_sums":[276409,270934,260349],"interval_residues":[469,104,469],"display_cycle":[469,104,469],"intervals":[{"from_index":342,"to_index":1082,"sum":276409,"residue":469},{"from_index":1082,"to_index":1822,"sum":270934,"residue":104},{"from_index":1822,"to_index":342,"sum":260349,"residue":469}],"minimal_cycle":[469,104,469],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":469,"start_interval_clock_positions":[342,1082],"circle_positions":730,"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":[343,1083,1823],"clock_positions":[343,1083,1823],"native_values":[317,682,317],"rotation_degrees":55.62162162162162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,682,317],"beta":{"interval_sums":[276353,270513,260658],"interval_residues":[413,413,48],"display_cycle":[413,413,48],"intervals":[{"from_index":343,"to_index":1083,"sum":276353,"residue":413},{"from_index":1083,"to_index":1823,"sum":270513,"residue":413},{"from_index":1823,"to_index":343,"sum":260658,"residue":48}],"minimal_cycle":[413,413,48],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":413,"start_interval_clock_positions":[343,1083],"circle_positions":730,"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":[344,1084,1824],"clock_positions":[344,1084,1824],"native_values":[213,213,578],"rotation_degrees":55.78378378378378,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,213,578],"beta":{"interval_sums":[276822,270617,260397],"interval_residues":[152,517,517],"display_cycle":[152,517,517],"intervals":[{"from_index":344,"to_index":1084,"sum":276822,"residue":152},{"from_index":1084,"to_index":1824,"sum":270617,"residue":517},{"from_index":1824,"to_index":344,"sum":260397,"residue":517}],"minimal_cycle":[152,517,517],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":152,"start_interval_clock_positions":[344,1084],"circle_positions":730,"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":[345,1085,1825],"clock_positions":[345,1085,1825],"native_values":[530,165,165],"rotation_degrees":55.945945945945944,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[530,165,165],"beta":{"interval_sums":[276505,271030,260445],"interval_residues":[565,200,565],"display_cycle":[565,200,565],"intervals":[{"from_index":345,"to_index":1085,"sum":276505,"residue":565},{"from_index":1085,"to_index":1825,"sum":271030,"residue":200},{"from_index":1825,"to_index":345,"sum":260445,"residue":565}],"minimal_cycle":[565,200,565],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":565,"start_interval_clock_positions":[345,1085],"circle_positions":730,"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":[346,1086,1826],"clock_positions":[346,1086,1826],"native_values":[13,378,13],"rotation_degrees":56.108108108108105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,378,13],"beta":{"interval_sums":[276657,270817,260962],"interval_residues":[717,717,352],"display_cycle":[717,717,352],"intervals":[{"from_index":346,"to_index":1086,"sum":276657,"residue":717},{"from_index":1086,"to_index":1826,"sum":270817,"residue":717},{"from_index":1826,"to_index":346,"sum":260962,"residue":352}],"minimal_cycle":[717,717,352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":717,"start_interval_clock_positions":[346,1086],"circle_positions":730,"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":[347,1087,1827],"clock_positions":[347,1087,1827],"native_values":[543,543,178],"rotation_degrees":56.270270270270274,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[543,543,178],"beta":{"interval_sums":[276492,270287,260797],"interval_residues":[552,187,187],"display_cycle":[552,187,187],"intervals":[{"from_index":347,"to_index":1087,"sum":276492,"residue":552},{"from_index":1087,"to_index":1827,"sum":270287,"residue":187},{"from_index":1827,"to_index":347,"sum":260797,"residue":187}],"minimal_cycle":[552,187,187],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[347,1087],"circle_positions":730,"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":[348,1088,1828],"clock_positions":[348,1088,1828],"native_values":[556,191,191],"rotation_degrees":56.432432432432435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[556,191,191],"beta":{"interval_sums":[276479,270274,261149],"interval_residues":[539,174,539],"display_cycle":[539,174,539],"intervals":[{"from_index":348,"to_index":1088,"sum":276479,"residue":539},{"from_index":1088,"to_index":1828,"sum":270274,"residue":174},{"from_index":1828,"to_index":348,"sum":261149,"residue":539}],"minimal_cycle":[539,174,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":539,"start_interval_clock_positions":[348,1088],"circle_positions":730,"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":[349,1089,1829],"clock_positions":[349,1089,1829],"native_values":[369,4,369],"rotation_degrees":56.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[369,4,369],"beta":{"interval_sums":[276301,270461,261336],"interval_residues":[361,361,726],"display_cycle":[361,361,726],"intervals":[{"from_index":349,"to_index":1089,"sum":276301,"residue":361},{"from_index":1089,"to_index":1829,"sum":270461,"residue":361},{"from_index":1829,"to_index":349,"sum":261336,"residue":726}],"minimal_cycle":[361,361,726],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":361,"start_interval_clock_positions":[349,1089],"circle_positions":730,"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":[350,1090,1830],"clock_positions":[350,1090,1830],"native_values":[195,195,560],"rotation_degrees":56.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,195,560],"beta":{"interval_sums":[276110,270635,261145],"interval_residues":[170,535,535],"display_cycle":[170,535,535],"intervals":[{"from_index":350,"to_index":1090,"sum":276110,"residue":170},{"from_index":1090,"to_index":1830,"sum":270635,"residue":535},{"from_index":1830,"to_index":350,"sum":261145,"residue":535}],"minimal_cycle":[170,535,535],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[350,1090],"circle_positions":730,"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":[351,1091,1831],"clock_positions":[351,1091,1831],"native_values":[564,199,199],"rotation_degrees":56.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[564,199,199],"beta":{"interval_sums":[275741,270996,261141],"interval_residues":[531,166,531],"display_cycle":[531,166,531],"intervals":[{"from_index":351,"to_index":1091,"sum":275741,"residue":531},{"from_index":1091,"to_index":1831,"sum":270996,"residue":166},{"from_index":1831,"to_index":351,"sum":261141,"residue":531}],"minimal_cycle":[531,166,531],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":531,"start_interval_clock_positions":[351,1091],"circle_positions":730,"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":[352,1092,1832],"clock_positions":[352,1092,1832],"native_values":[29,394,29],"rotation_degrees":57.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,394,29],"beta":{"interval_sums":[275911,270801,261676],"interval_residues":[701,701,336],"display_cycle":[701,701,336],"intervals":[{"from_index":352,"to_index":1092,"sum":275911,"residue":701},{"from_index":1092,"to_index":1832,"sum":270801,"residue":701},{"from_index":1832,"to_index":352,"sum":261676,"residue":336}],"minimal_cycle":[701,701,336],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":701,"start_interval_clock_positions":[352,1092],"circle_positions":730,"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":[353,1093,1833],"clock_positions":[353,1093,1833],"native_values":[593,593,228],"rotation_degrees":57.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[593,593,228],"beta":{"interval_sums":[275712,270237,261477],"interval_residues":[502,137,137],"display_cycle":[502,137,137],"intervals":[{"from_index":353,"to_index":1093,"sum":275712,"residue":502},{"from_index":1093,"to_index":1833,"sum":270237,"residue":137},{"from_index":1833,"to_index":353,"sum":261477,"residue":137}],"minimal_cycle":[502,137,137],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[353,1093],"circle_positions":730,"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":[354,1094,1834],"clock_positions":[354,1094,1834],"native_values":[622,257,257],"rotation_degrees":57.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[622,257,257],"beta":{"interval_sums":[275683,270208,261813],"interval_residues":[473,108,473],"display_cycle":[473,108,473],"intervals":[{"from_index":354,"to_index":1094,"sum":275683,"residue":473},{"from_index":1094,"to_index":1834,"sum":270208,"residue":108},{"from_index":1834,"to_index":354,"sum":261813,"residue":473}],"minimal_cycle":[473,108,473],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":473,"start_interval_clock_positions":[354,1094],"circle_positions":730,"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":[355,1095,1835],"clock_positions":[355,1095,1835],"native_values":[485,120,485],"rotation_degrees":57.567567567567565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,120,485],"beta":{"interval_sums":[275455,270345,261950],"interval_residues":[245,245,610],"display_cycle":[245,245,610],"intervals":[{"from_index":355,"to_index":1095,"sum":275455,"residue":245},{"from_index":1095,"to_index":1835,"sum":270345,"residue":245},{"from_index":1835,"to_index":355,"sum":261950,"residue":610}],"minimal_cycle":[245,245,610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":245,"start_interval_clock_positions":[355,1095],"circle_positions":730,"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":[356,1096,1836],"clock_positions":[356,1096,1836],"native_values":[377,377,12],"rotation_degrees":57.729729729729726,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,377,12],"beta":{"interval_sums":[275198,270453,262423],"interval_residues":[718,353,353],"display_cycle":[718,353,353],"intervals":[{"from_index":356,"to_index":1096,"sum":275198,"residue":718},{"from_index":1096,"to_index":1836,"sum":270453,"residue":353},{"from_index":1836,"to_index":356,"sum":262423,"residue":353}],"minimal_cycle":[718,353,353],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":718,"start_interval_clock_positions":[356,1096],"circle_positions":730,"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":[357,1097,1837],"clock_positions":[357,1097,1837],"native_values":[132,497,497],"rotation_degrees":57.891891891891895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,497,497],"beta":{"interval_sums":[275443,269968,262303],"interval_residues":[233,598,233],"display_cycle":[233,598,233],"intervals":[{"from_index":357,"to_index":1097,"sum":275443,"residue":233},{"from_index":1097,"to_index":1837,"sum":269968,"residue":598},{"from_index":1837,"to_index":357,"sum":262303,"residue":233}],"minimal_cycle":[233,598,233],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":233,"start_interval_clock_positions":[357,1097],"circle_positions":730,"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":[358,1098,1838],"clock_positions":[358,1098,1838],"native_values":[509,144,509],"rotation_degrees":58.054054054054056,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[509,144,509],"beta":{"interval_sums":[275431,270321,261926],"interval_residues":[221,221,586],"display_cycle":[221,221,586],"intervals":[{"from_index":358,"to_index":1098,"sum":275431,"residue":221},{"from_index":1098,"to_index":1838,"sum":270321,"residue":221},{"from_index":1838,"to_index":358,"sum":261926,"residue":586}],"minimal_cycle":[221,221,586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":221,"start_interval_clock_positions":[358,1098],"circle_positions":730,"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":[359,1099,1839],"clock_positions":[359,1099,1839],"native_values":[641,641,276],"rotation_degrees":58.21621621621622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,641,276],"beta":{"interval_sums":[274934,270189,262159],"interval_residues":[454,89,89],"display_cycle":[454,89,89],"intervals":[{"from_index":359,"to_index":1099,"sum":274934,"residue":454},{"from_index":1099,"to_index":1839,"sum":270189,"residue":89},{"from_index":1839,"to_index":359,"sum":262159,"residue":89}],"minimal_cycle":[454,89,89],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":454,"start_interval_clock_positions":[359,1099],"circle_positions":730,"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":[360,1100,1840],"clock_positions":[360,1100,1840],"native_values":[420,55,55],"rotation_degrees":58.37837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[420,55,55],"beta":{"interval_sums":[275155,270410,262745],"interval_residues":[675,310,675],"display_cycle":[675,310,675],"intervals":[{"from_index":360,"to_index":1100,"sum":275155,"residue":675},{"from_index":1100,"to_index":1840,"sum":270410,"residue":310},{"from_index":1840,"to_index":360,"sum":262745,"residue":675}],"minimal_cycle":[675,310,675],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":675,"start_interval_clock_positions":[360,1100],"circle_positions":730,"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":[361,1101,1841],"clock_positions":[361,1101,1841],"native_values":[331,696,331],"rotation_degrees":58.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,696,331],"beta":{"interval_sums":[274879,269769,262834],"interval_residues":[399,399,34],"display_cycle":[399,399,34],"intervals":[{"from_index":361,"to_index":1101,"sum":274879,"residue":399},{"from_index":1101,"to_index":1841,"sum":269769,"residue":399},{"from_index":1841,"to_index":361,"sum":262834,"residue":34}],"minimal_cycle":[399,399,34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":399,"start_interval_clock_positions":[361,1101],"circle_positions":730,"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":[362,1102,1842],"clock_positions":[362,1102,1842],"native_values":[21,21,386],"rotation_degrees":58.7027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,21,386],"beta":{"interval_sums":[275554,270079,262779],"interval_residues":[344,709,709],"display_cycle":[344,709,709],"intervals":[{"from_index":362,"to_index":1102,"sum":275554,"residue":344},{"from_index":1102,"to_index":1842,"sum":270079,"residue":709},{"from_index":1842,"to_index":362,"sum":262779,"residue":709}],"minimal_cycle":[344,709,709],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":344,"start_interval_clock_positions":[362,1102],"circle_positions":730,"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":[363,1103,1843],"clock_positions":[363,1103,1843],"native_values":[352,717,717],"rotation_degrees":58.86486486486486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[352,717,717],"beta":{"interval_sums":[275223,269748,262083],"interval_residues":[13,378,13],"display_cycle":[13,378,13],"intervals":[{"from_index":363,"to_index":1103,"sum":275223,"residue":13},{"from_index":1103,"to_index":1843,"sum":269748,"residue":378},{"from_index":1843,"to_index":363,"sum":262083,"residue":13}],"minimal_cycle":[13,378,13],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":13,"start_interval_clock_positions":[363,1103],"circle_positions":730,"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":[364,1104,1844],"clock_positions":[364,1104,1844],"native_values":[373,8,373],"rotation_degrees":59.027027027027025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[373,8,373],"beta":{"interval_sums":[275567,270457,262062],"interval_residues":[357,357,722],"display_cycle":[357,357,722],"intervals":[{"from_index":364,"to_index":1104,"sum":275567,"residue":357},{"from_index":1104,"to_index":1844,"sum":270457,"residue":357},{"from_index":1844,"to_index":364,"sum":262062,"residue":722}],"minimal_cycle":[357,357,722],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":357,"start_interval_clock_positions":[364,1104],"circle_positions":730,"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":[365,1105,1845],"clock_positions":[365,1105,1845],"native_values":[725,725,360],"rotation_degrees":59.189189189189186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[725,725,360],"beta":{"interval_sums":[274850,270105,262075],"interval_residues":[370,5,5],"display_cycle":[370,5,5],"intervals":[{"from_index":365,"to_index":1105,"sum":274850,"residue":370},{"from_index":1105,"to_index":1845,"sum":270105,"residue":5},{"from_index":1845,"to_index":365,"sum":262075,"residue":5}],"minimal_cycle":[370,5,5],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[365,1105],"circle_positions":730,"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":[366,1106,1846],"clock_positions":[366,1106,1846],"native_values":[368,3,3],"rotation_degrees":59.351351351351354,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[368,3,3],"beta":{"interval_sums":[275207,270462,262797],"interval_residues":[727,362,727],"display_cycle":[727,362,727],"intervals":[{"from_index":366,"to_index":1106,"sum":275207,"residue":727},{"from_index":1106,"to_index":1846,"sum":270462,"residue":362},{"from_index":1846,"to_index":366,"sum":262797,"residue":727}],"minimal_cycle":[727,362,727],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":727,"start_interval_clock_positions":[366,1106],"circle_positions":730,"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":[367,1107,1847],"clock_positions":[367,1107,1847],"native_values":[363,728,363],"rotation_degrees":59.513513513513516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[363,728,363],"beta":{"interval_sums":[274847,269737,262802],"interval_residues":[367,367,2],"display_cycle":[367,367,2],"intervals":[{"from_index":367,"to_index":1107,"sum":274847,"residue":367},{"from_index":1107,"to_index":1847,"sum":269737,"residue":367},{"from_index":1847,"to_index":367,"sum":262802,"residue":2}],"minimal_cycle":[367,367,2],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":367,"start_interval_clock_positions":[367,1107],"circle_positions":730,"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":[368,1108,1848],"clock_positions":[368,1108,1848],"native_values":[1,1,366],"rotation_degrees":59.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,1,366],"beta":{"interval_sums":[275574,270099,262799],"interval_residues":[364,729,729],"display_cycle":[364,729,729],"intervals":[{"from_index":368,"to_index":1108,"sum":275574,"residue":364},{"from_index":1108,"to_index":1848,"sum":270099,"residue":729},{"from_index":1848,"to_index":368,"sum":262799,"residue":729}],"minimal_cycle":[364,729,729],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":364,"start_interval_clock_positions":[368,1108],"circle_positions":730,"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":[369,1109,1849],"clock_positions":[369,1109,1849],"native_values":[364,729,729],"rotation_degrees":59.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[364,729,729],"beta":{"interval_sums":[275211,269736,262071],"interval_residues":[1,366,1],"display_cycle":[1,366,1],"intervals":[{"from_index":369,"to_index":1109,"sum":275211,"residue":1},{"from_index":1109,"to_index":1849,"sum":269736,"residue":366},{"from_index":1849,"to_index":369,"sum":262071,"residue":1}],"minimal_cycle":[1,366,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[369,1109],"circle_positions":730,"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":[370,1110,1850],"clock_positions":[370,1110,1850],"native_values":[365,730,365],"rotation_degrees":60.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[365,730,365],"beta":{"interval_sums":[275575,270465,262070],"interval_residues":[365,365,0],"display_cycle":[365,365,730],"intervals":[{"from_index":370,"to_index":1110,"sum":275575,"residue":365},{"from_index":1110,"to_index":1850,"sum":270465,"residue":365},{"from_index":1850,"to_index":370,"sum":262070,"residue":0}],"minimal_cycle":[365,365,0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":365,"start_interval_clock_positions":[370,1110],"circle_positions":730,"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":[371,1111,1851],"clock_positions":[371,1111,1851],"native_values":[729,729,364],"rotation_degrees":60.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[729,729,364],"beta":{"interval_sums":[274846,270101,262071],"interval_residues":[366,1,1],"display_cycle":[366,1,1],"intervals":[{"from_index":371,"to_index":1111,"sum":274846,"residue":366},{"from_index":1111,"to_index":1851,"sum":270101,"residue":1},{"from_index":1851,"to_index":371,"sum":262071,"residue":1}],"minimal_cycle":[366,1,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":366,"start_interval_clock_positions":[371,1111],"circle_positions":730,"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":[372,1112,1852],"clock_positions":[372,1112,1852],"native_values":[364,729,729],"rotation_degrees":60.32432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[364,729,729],"beta":{"interval_sums":[275211,269736,262071],"interval_residues":[1,366,1],"display_cycle":[1,366,1],"intervals":[{"from_index":372,"to_index":1112,"sum":275211,"residue":1},{"from_index":1112,"to_index":1852,"sum":269736,"residue":366},{"from_index":1852,"to_index":372,"sum":262071,"residue":1}],"minimal_cycle":[1,366,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[372,1112],"circle_positions":730,"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":[373,1113,1853],"clock_positions":[373,1113,1853],"native_values":[363,728,363],"rotation_degrees":60.486486486486484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[363,728,363],"beta":{"interval_sums":[275577,269737,262072],"interval_residues":[367,367,2],"display_cycle":[367,367,2],"intervals":[{"from_index":373,"to_index":1113,"sum":275577,"residue":367},{"from_index":1113,"to_index":1853,"sum":269737,"residue":367},{"from_index":1853,"to_index":373,"sum":262072,"residue":2}],"minimal_cycle":[367,367,2],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":367,"start_interval_clock_positions":[373,1113],"circle_positions":730,"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":[374,1114,1854],"clock_positions":[374,1114,1854],"native_values":[727,727,362],"rotation_degrees":60.648648648648646,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[727,727,362],"beta":{"interval_sums":[275578,269373,262073],"interval_residues":[368,3,3],"display_cycle":[368,3,3],"intervals":[{"from_index":374,"to_index":1114,"sum":275578,"residue":368},{"from_index":1114,"to_index":1854,"sum":269373,"residue":3},{"from_index":1854,"to_index":374,"sum":262073,"residue":3}],"minimal_cycle":[368,3,3],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":368,"start_interval_clock_positions":[374,1114],"circle_positions":730,"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":[375,1115,1855],"clock_positions":[375,1115,1855],"native_values":[360,725,725],"rotation_degrees":60.810810810810814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[360,725,725],"beta":{"interval_sums":[275945,269010,262075],"interval_residues":[5,370,5],"display_cycle":[5,370,5],"intervals":[{"from_index":375,"to_index":1115,"sum":275945,"residue":5},{"from_index":1115,"to_index":1855,"sum":269010,"residue":370},{"from_index":1855,"to_index":375,"sum":262075,"residue":5}],"minimal_cycle":[5,370,5],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":5,"start_interval_clock_positions":[375,1115],"circle_positions":730,"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":[376,1116,1856],"clock_positions":[376,1116,1856],"native_values":[357,722,357],"rotation_degrees":60.972972972972975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,722,357],"beta":{"interval_sums":[276313,269013,262078],"interval_residues":[373,373,8],"display_cycle":[373,373,8],"intervals":[{"from_index":376,"to_index":1116,"sum":276313,"residue":373},{"from_index":1116,"to_index":1856,"sum":269013,"residue":373},{"from_index":1856,"to_index":376,"sum":262078,"residue":8}],"minimal_cycle":[373,373,8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":373,"start_interval_clock_positions":[376,1116],"circle_positions":730,"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":[377,1117,1857],"clock_positions":[377,1117,1857],"native_values":[717,717,352],"rotation_degrees":61.13513513513514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[717,717,352],"beta":{"interval_sums":[276318,268653,262083],"interval_residues":[378,13,13],"display_cycle":[378,13,13],"intervals":[{"from_index":377,"to_index":1117,"sum":276318,"residue":378},{"from_index":1117,"to_index":1857,"sum":268653,"residue":13},{"from_index":1857,"to_index":377,"sum":262083,"residue":13}],"minimal_cycle":[378,13,13],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[377,1117],"circle_positions":730,"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":[378,1118,1858],"clock_positions":[378,1118,1858],"native_values":[344,709,709],"rotation_degrees":61.2972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[344,709,709],"beta":{"interval_sums":[276691,268296,262091],"interval_residues":[21,386,21],"display_cycle":[21,386,21],"intervals":[{"from_index":378,"to_index":1118,"sum":276691,"residue":21},{"from_index":1118,"to_index":1858,"sum":268296,"residue":386},{"from_index":1858,"to_index":378,"sum":262091,"residue":21}],"minimal_cycle":[21,386,21],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":21,"start_interval_clock_positions":[378,1118],"circle_positions":730,"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":[379,1119,1859],"clock_positions":[379,1119,1859],"native_values":[331,696,331],"rotation_degrees":61.45945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,696,331],"beta":{"interval_sums":[277069,268309,262104],"interval_residues":[399,399,34],"display_cycle":[399,399,34],"intervals":[{"from_index":379,"to_index":1119,"sum":277069,"residue":399},{"from_index":1119,"to_index":1859,"sum":268309,"residue":399},{"from_index":1859,"to_index":379,"sum":262104,"residue":34}],"minimal_cycle":[399,399,34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":399,"start_interval_clock_positions":[379,1119],"circle_positions":730,"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":[380,1120,1860],"clock_positions":[380,1120,1860],"native_values":[675,675,310],"rotation_degrees":61.62162162162162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[675,675,310],"beta":{"interval_sums":[277090,267965,262125],"interval_residues":[420,55,55],"display_cycle":[420,55,55],"intervals":[{"from_index":380,"to_index":1120,"sum":277090,"residue":420},{"from_index":1120,"to_index":1860,"sum":267965,"residue":55},{"from_index":1860,"to_index":380,"sum":262125,"residue":55}],"minimal_cycle":[420,55,55],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":420,"start_interval_clock_positions":[380,1120],"circle_positions":730,"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":[381,1121,1861],"clock_positions":[381,1121,1861],"native_values":[276,641,641],"rotation_degrees":61.78378378378378,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[276,641,641],"beta":{"interval_sums":[277489,267634,262159],"interval_residues":[89,454,89],"display_cycle":[89,454,89],"intervals":[{"from_index":381,"to_index":1121,"sum":277489,"residue":89},{"from_index":1121,"to_index":1861,"sum":267634,"residue":454},{"from_index":1861,"to_index":381,"sum":262159,"residue":89}],"minimal_cycle":[89,454,89],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[381,1121],"circle_positions":730,"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":[382,1122,1862],"clock_positions":[382,1122,1862],"native_values":[221,586,221],"rotation_degrees":61.945945945945944,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,586,221],"beta":{"interval_sums":[277909,267689,262214],"interval_residues":[509,509,144],"display_cycle":[509,509,144],"intervals":[{"from_index":382,"to_index":1122,"sum":277909,"residue":509},{"from_index":1122,"to_index":1862,"sum":267689,"residue":509},{"from_index":1862,"to_index":382,"sum":262214,"residue":144}],"minimal_cycle":[509,509,144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":509,"start_interval_clock_positions":[382,1122],"circle_positions":730,"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":[383,1123,1863],"clock_positions":[383,1123,1863],"native_values":[497,497,132],"rotation_degrees":62.108108108108105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[497,497,132],"beta":{"interval_sums":[277998,267413,262303],"interval_residues":[598,233,233],"display_cycle":[598,233,233],"intervals":[{"from_index":383,"to_index":1123,"sum":277998,"residue":598},{"from_index":1123,"to_index":1863,"sum":267413,"residue":233},{"from_index":1863,"to_index":383,"sum":262303,"residue":233}],"minimal_cycle":[598,233,233],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":598,"start_interval_clock_positions":[383,1123],"circle_positions":730,"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":[384,1124,1864],"clock_positions":[384,1124,1864],"native_values":[718,353,353],"rotation_degrees":62.270270270270274,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[718,353,353],"beta":{"interval_sums":[277777,267192,262447],"interval_residues":[377,12,377],"display_cycle":[377,12,377],"intervals":[{"from_index":384,"to_index":1124,"sum":277777,"residue":377},{"from_index":1124,"to_index":1864,"sum":267192,"residue":12},{"from_index":1864,"to_index":384,"sum":262447,"residue":377}],"minimal_cycle":[377,12,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[384,1124],"circle_positions":730,"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":[385,1125,1865],"clock_positions":[385,1125,1865],"native_values":[485,120,485],"rotation_degrees":62.432432432432435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,120,485],"beta":{"interval_sums":[277645,267425,262680],"interval_residues":[245,245,610],"display_cycle":[245,245,610],"intervals":[{"from_index":385,"to_index":1125,"sum":277645,"residue":245},{"from_index":1125,"to_index":1865,"sum":267425,"residue":245},{"from_index":1865,"to_index":385,"sum":262680,"residue":610}],"minimal_cycle":[245,245,610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":245,"start_interval_clock_positions":[385,1125],"circle_positions":730,"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":[386,1126,1866],"clock_positions":[386,1126,1866],"native_values":[473,473,108],"rotation_degrees":62.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,473,108],"beta":{"interval_sums":[277292,267437,263057],"interval_residues":[622,257,257],"display_cycle":[622,257,257],"intervals":[{"from_index":386,"to_index":1126,"sum":277292,"residue":622},{"from_index":1126,"to_index":1866,"sum":267437,"residue":257},{"from_index":1866,"to_index":386,"sum":263057,"residue":257}],"minimal_cycle":[622,257,257],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":622,"start_interval_clock_positions":[386,1126],"circle_positions":730,"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":[387,1127,1867],"clock_positions":[387,1127,1867],"native_values":[228,593,593],"rotation_degrees":62.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[228,593,593],"beta":{"interval_sums":[277537,266952,262937],"interval_residues":[137,502,137],"display_cycle":[137,502,137],"intervals":[{"from_index":387,"to_index":1127,"sum":277537,"residue":137},{"from_index":1127,"to_index":1867,"sum":266952,"residue":502},{"from_index":1867,"to_index":387,"sum":262937,"residue":137}],"minimal_cycle":[137,502,137],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":137,"start_interval_clock_positions":[387,1127],"circle_positions":730,"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":[388,1128,1868],"clock_positions":[388,1128,1868],"native_values":[701,336,701],"rotation_degrees":62.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[701,336,701],"beta":{"interval_sums":[277429,267209,262464],"interval_residues":[29,29,394],"display_cycle":[29,29,394],"intervals":[{"from_index":388,"to_index":1128,"sum":277429,"residue":29},{"from_index":1128,"to_index":1868,"sum":267209,"residue":29},{"from_index":1868,"to_index":388,"sum":262464,"residue":394}],"minimal_cycle":[29,29,394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":29,"start_interval_clock_positions":[388,1128],"circle_positions":730,"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":[389,1129,1869],"clock_positions":[389,1129,1869],"native_values":[199,199,564],"rotation_degrees":63.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[199,199,564],"beta":{"interval_sums":[277566,267711,262601],"interval_residues":[166,531,531],"display_cycle":[166,531,531],"intervals":[{"from_index":389,"to_index":1129,"sum":277566,"residue":166},{"from_index":1129,"to_index":1869,"sum":267711,"residue":531},{"from_index":1869,"to_index":389,"sum":262601,"residue":531}],"minimal_cycle":[166,531,531],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":166,"start_interval_clock_positions":[389,1129],"circle_positions":730,"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":[390,1130,1870],"clock_positions":[390,1130,1870],"native_values":[170,535,535],"rotation_degrees":63.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[170,535,535],"beta":{"interval_sums":[277595,267740,262265],"interval_residues":[195,560,195],"display_cycle":[195,560,195],"intervals":[{"from_index":390,"to_index":1130,"sum":277595,"residue":195},{"from_index":1130,"to_index":1870,"sum":267740,"residue":560},{"from_index":1870,"to_index":390,"sum":262265,"residue":195}],"minimal_cycle":[195,560,195],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":195,"start_interval_clock_positions":[390,1130],"circle_positions":730,"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":[391,1131,1871],"clock_positions":[391,1131,1871],"native_values":[369,4,369],"rotation_degrees":63.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[369,4,369],"beta":{"interval_sums":[277761,268271,262066],"interval_residues":[361,361,726],"display_cycle":[361,361,726],"intervals":[{"from_index":391,"to_index":1131,"sum":277761,"residue":361},{"from_index":1131,"to_index":1871,"sum":268271,"residue":361},{"from_index":1871,"to_index":391,"sum":262066,"residue":726}],"minimal_cycle":[361,361,726],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":361,"start_interval_clock_positions":[391,1131],"circle_positions":730,"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":[392,1132,1872],"clock_positions":[392,1132,1872],"native_values":[539,539,174],"rotation_degrees":63.567567567567565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[539,539,174],"beta":{"interval_sums":[277226,268101,262261],"interval_residues":[556,191,191],"display_cycle":[556,191,191],"intervals":[{"from_index":392,"to_index":1132,"sum":277226,"residue":556},{"from_index":1132,"to_index":1872,"sum":268101,"residue":191},{"from_index":1872,"to_index":392,"sum":262261,"residue":191}],"minimal_cycle":[556,191,191],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":556,"start_interval_clock_positions":[392,1132],"circle_positions":730,"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":[393,1133,1873],"clock_positions":[393,1133,1873],"native_values":[178,543,543],"rotation_degrees":63.729729729729726,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[178,543,543],"beta":{"interval_sums":[277587,267732,262257],"interval_residues":[187,552,187],"display_cycle":[187,552,187],"intervals":[{"from_index":393,"to_index":1133,"sum":277587,"residue":187},{"from_index":1133,"to_index":1873,"sum":267732,"residue":552},{"from_index":1873,"to_index":393,"sum":262257,"residue":187}],"minimal_cycle":[187,552,187],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":187,"start_interval_clock_positions":[393,1133],"circle_positions":730,"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":[394,1134,1874],"clock_positions":[394,1134,1874],"native_values":[717,352,717],"rotation_degrees":63.891891891891895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[717,352,717],"beta":{"interval_sums":[277413,267923,261718],"interval_residues":[13,13,378],"display_cycle":[13,13,378],"intervals":[{"from_index":394,"to_index":1134,"sum":277413,"residue":13},{"from_index":1134,"to_index":1874,"sum":267923,"residue":13},{"from_index":1874,"to_index":394,"sum":261718,"residue":378}],"minimal_cycle":[13,13,378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":13,"start_interval_clock_positions":[394,1134],"circle_positions":730,"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":[395,1135,1875],"clock_positions":[395,1135,1875],"native_values":[165,165,530],"rotation_degrees":64.05405405405405,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,165,530],"beta":{"interval_sums":[277600,268475,261905],"interval_residues":[200,565,565],"display_cycle":[200,565,565],"intervals":[{"from_index":395,"to_index":1135,"sum":277600,"residue":200},{"from_index":1135,"to_index":1875,"sum":268475,"residue":565},{"from_index":1875,"to_index":395,"sum":261905,"residue":565}],"minimal_cycle":[200,565,565],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[395,1135],"circle_positions":730,"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":[396,1136,1876],"clock_positions":[396,1136,1876],"native_values":[152,517,517],"rotation_degrees":64.21621621621621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[152,517,517],"beta":{"interval_sums":[277613,268488,261553],"interval_residues":[213,578,213],"display_cycle":[213,578,213],"intervals":[{"from_index":396,"to_index":1136,"sum":277613,"residue":213},{"from_index":1136,"to_index":1876,"sum":268488,"residue":578},{"from_index":1876,"to_index":396,"sum":261553,"residue":213}],"minimal_cycle":[213,578,213],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":213,"start_interval_clock_positions":[396,1136],"circle_positions":730,"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":[397,1137,1877],"clock_positions":[397,1137,1877],"native_values":[317,682,317],"rotation_degrees":64.37837837837837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,682,317],"beta":{"interval_sums":[277813,268323,261388],"interval_residues":[413,413,48],"display_cycle":[413,413,48],"intervals":[{"from_index":397,"to_index":1137,"sum":277813,"residue":413},{"from_index":1137,"to_index":1877,"sum":268323,"residue":413},{"from_index":1877,"to_index":397,"sum":261388,"residue":48}],"minimal_cycle":[413,413,48],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":413,"start_interval_clock_positions":[397,1137],"circle_positions":730,"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":[398,1138,1878],"clock_positions":[398,1138,1878],"native_values":[469,469,104],"rotation_degrees":64.54054054054055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,469,104],"beta":{"interval_sums":[278026,268171,261601],"interval_residues":[626,261,261],"display_cycle":[626,261,261],"intervals":[{"from_index":398,"to_index":1138,"sum":278026,"residue":626},{"from_index":1138,"to_index":1878,"sum":268171,"residue":261},{"from_index":1878,"to_index":398,"sum":261601,"residue":261}],"minimal_cycle":[626,261,261],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":626,"start_interval_clock_positions":[398,1138],"circle_positions":730,"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":[399,1139,1879],"clock_positions":[399,1139,1879],"native_values":[56,421,421],"rotation_degrees":64.70270270270271,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[56,421,421],"beta":{"interval_sums":[278439,267854,261649],"interval_residues":[309,674,309],"display_cycle":[309,674,309],"intervals":[{"from_index":399,"to_index":1139,"sum":278439,"residue":309},{"from_index":1139,"to_index":1879,"sum":267854,"residue":674},{"from_index":1879,"to_index":399,"sum":261649,"residue":309}],"minimal_cycle":[309,674,309],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":309,"start_interval_clock_positions":[399,1139],"circle_positions":730,"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":[400,1140,1880],"clock_positions":[400,1140,1880],"native_values":[525,160,525],"rotation_degrees":64.86486486486487,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[525,160,525],"beta":{"interval_sums":[278335,268115,261180],"interval_residues":[205,205,570],"display_cycle":[205,205,570],"intervals":[{"from_index":400,"to_index":1140,"sum":278335,"residue":205},{"from_index":1140,"to_index":1880,"sum":268115,"residue":205},{"from_index":1880,"to_index":400,"sum":261180,"residue":570}],"minimal_cycle":[205,205,570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":205,"start_interval_clock_positions":[400,1140],"circle_positions":730,"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":[401,1141,1881],"clock_positions":[401,1141,1881],"native_values":[581,581,216],"rotation_degrees":65.02702702702703,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[581,581,216],"beta":{"interval_sums":[277914,268059,261489],"interval_residues":[514,149,149],"display_cycle":[514,149,149],"intervals":[{"from_index":401,"to_index":1141,"sum":277914,"residue":514},{"from_index":1141,"to_index":1881,"sum":268059,"residue":149},{"from_index":1881,"to_index":401,"sum":261489,"residue":149}],"minimal_cycle":[514,149,149],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":514,"start_interval_clock_positions":[401,1141],"circle_positions":730,"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":[402,1142,1882],"clock_positions":[402,1142,1882],"native_values":[376,11,11],"rotation_degrees":65.1891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[376,11,11],"beta":{"interval_sums":[278119,268264,262059],"interval_residues":[719,354,719],"display_cycle":[719,354,719],"intervals":[{"from_index":402,"to_index":1142,"sum":278119,"residue":719},{"from_index":1142,"to_index":1882,"sum":268264,"residue":354},{"from_index":1882,"to_index":402,"sum":262059,"residue":719}],"minimal_cycle":[719,354,719],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":719,"start_interval_clock_positions":[402,1142],"circle_positions":730,"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":[403,1143,1883],"clock_positions":[403,1143,1883],"native_values":[227,592,227],"rotation_degrees":65.35135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,592,227],"beta":{"interval_sums":[277903,267683,262208],"interval_residues":[503,503,138],"display_cycle":[503,503,138],"intervals":[{"from_index":403,"to_index":1143,"sum":277903,"residue":503},{"from_index":1143,"to_index":1883,"sum":267683,"residue":503},{"from_index":1883,"to_index":403,"sum":262208,"residue":138}],"minimal_cycle":[503,503,138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":503,"start_interval_clock_positions":[403,1143],"circle_positions":730,"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":[404,1144,1884],"clock_positions":[404,1144,1884],"native_values":[603,603,238],"rotation_degrees":65.51351351351352,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[603,603,238],"beta":{"interval_sums":[277892,267307,262197],"interval_residues":[492,127,127],"display_cycle":[492,127,127],"intervals":[{"from_index":404,"to_index":1144,"sum":277892,"residue":492},{"from_index":1144,"to_index":1884,"sum":267307,"residue":127},{"from_index":1884,"to_index":404,"sum":262197,"residue":127}],"minimal_cycle":[492,127,127],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":492,"start_interval_clock_positions":[404,1144],"circle_positions":730,"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":[405,1145,1885],"clock_positions":[405,1145,1885],"native_values":[100,465,465],"rotation_degrees":65.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[100,465,465],"beta":{"interval_sums":[278395,267080,262335],"interval_residues":[265,630,265],"display_cycle":[265,630,265],"intervals":[{"from_index":405,"to_index":1145,"sum":278395,"residue":265},{"from_index":1145,"to_index":1885,"sum":267080,"residue":630},{"from_index":1885,"to_index":405,"sum":262335,"residue":265}],"minimal_cycle":[265,630,265],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[405,1145],"circle_positions":730,"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":[406,1146,1886],"clock_positions":[406,1146,1886],"native_values":[703,338,703],"rotation_degrees":65.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[703,338,703],"beta":{"interval_sums":[278157,267207,261732],"interval_residues":[27,27,392],"display_cycle":[27,27,392],"intervals":[{"from_index":406,"to_index":1146,"sum":278157,"residue":27},{"from_index":1146,"to_index":1886,"sum":267207,"residue":27},{"from_index":1886,"to_index":406,"sum":261732,"residue":392}],"minimal_cycle":[27,27,392],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":27,"start_interval_clock_positions":[406,1146],"circle_positions":730,"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":[407,1147,1887],"clock_positions":[407,1147,1887],"native_values":[73,73,438],"rotation_degrees":66.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,73,438],"beta":{"interval_sums":[278422,267837,261997],"interval_residues":[292,657,657],"display_cycle":[292,657,657],"intervals":[{"from_index":407,"to_index":1147,"sum":278422,"residue":292},{"from_index":1147,"to_index":1887,"sum":267837,"residue":657},{"from_index":1887,"to_index":407,"sum":261997,"residue":657}],"minimal_cycle":[292,657,657],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[407,1147],"circle_positions":730,"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":[408,1148,1888],"clock_positions":[408,1148,1888],"native_values":[46,411,411],"rotation_degrees":66.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[46,411,411],"beta":{"interval_sums":[278449,267864,261659],"interval_residues":[319,684,319],"display_cycle":[319,684,319],"intervals":[{"from_index":408,"to_index":1148,"sum":278449,"residue":319},{"from_index":1148,"to_index":1888,"sum":267864,"residue":684},{"from_index":1888,"to_index":408,"sum":261659,"residue":319}],"minimal_cycle":[319,684,319],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":319,"start_interval_clock_positions":[408,1148],"circle_positions":730,"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":[409,1149,1889],"clock_positions":[409,1149,1889],"native_values":[119,484,119],"rotation_degrees":66.32432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,484,119],"beta":{"interval_sums":[278741,267791,261586],"interval_residues":[611,611,246],"display_cycle":[611,611,246],"intervals":[{"from_index":409,"to_index":1149,"sum":278741,"residue":611},{"from_index":1149,"to_index":1889,"sum":267791,"residue":611},{"from_index":1889,"to_index":409,"sum":261586,"residue":246}],"minimal_cycle":[611,611,246],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":611,"start_interval_clock_positions":[409,1149],"circle_positions":730,"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":[410,1150,1890],"clock_positions":[410,1150,1890],"native_values":[165,165,530],"rotation_degrees":66.48648648648648,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,165,530],"beta":{"interval_sums":[279060,267745,261175],"interval_residues":[200,565,565],"display_cycle":[200,565,565],"intervals":[{"from_index":410,"to_index":1150,"sum":279060,"residue":200},{"from_index":1150,"to_index":1890,"sum":267745,"residue":565},{"from_index":1890,"to_index":410,"sum":261175,"residue":565}],"minimal_cycle":[200,565,565],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[410,1150],"circle_positions":730,"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":[411,1151,1891],"clock_positions":[411,1151,1891],"native_values":[284,649,649],"rotation_degrees":66.64864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[284,649,649],"beta":{"interval_sums":[278941,267626,260691],"interval_residues":[81,446,81],"display_cycle":[81,446,81],"intervals":[{"from_index":411,"to_index":1151,"sum":278941,"residue":81},{"from_index":1151,"to_index":1891,"sum":267626,"residue":446},{"from_index":1891,"to_index":411,"sum":260691,"residue":81}],"minimal_cycle":[81,446,81],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":81,"start_interval_clock_positions":[411,1151],"circle_positions":730,"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":[412,1152,1892],"clock_positions":[412,1152,1892],"native_values":[449,84,449],"rotation_degrees":66.8108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,84,449],"beta":{"interval_sums":[279141,268191,260526],"interval_residues":[281,281,646],"display_cycle":[281,281,646],"intervals":[{"from_index":412,"to_index":1152,"sum":279141,"residue":281},{"from_index":1152,"to_index":1892,"sum":268191,"residue":281},{"from_index":1892,"to_index":412,"sum":260526,"residue":646}],"minimal_cycle":[281,281,646],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":281,"start_interval_clock_positions":[412,1152],"circle_positions":730,"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":[413,1153,1893],"clock_positions":[413,1153,1893],"native_values":[3,3,368],"rotation_degrees":66.97297297297297,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,3,368],"beta":{"interval_sums":[279222,268637,260607],"interval_residues":[362,727,727],"display_cycle":[362,727,727],"intervals":[{"from_index":413,"to_index":1153,"sum":279222,"residue":362},{"from_index":1153,"to_index":1893,"sum":268637,"residue":727},{"from_index":1893,"to_index":413,"sum":260607,"residue":727}],"minimal_cycle":[362,727,727],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[413,1153],"circle_positions":730,"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":[414,1154,1894],"clock_positions":[414,1154,1894],"native_values":[452,87,87],"rotation_degrees":67.13513513513513,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[452,87,87],"beta":{"interval_sums":[278773,268918,260523],"interval_residues":[643,278,643],"display_cycle":[643,278,643],"intervals":[{"from_index":414,"to_index":1154,"sum":278773,"residue":643},{"from_index":1154,"to_index":1894,"sum":268918,"residue":278},{"from_index":1894,"to_index":414,"sum":260523,"residue":643}],"minimal_cycle":[643,278,643],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":643,"start_interval_clock_positions":[414,1154],"circle_positions":730,"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":[415,1155,1895],"clock_positions":[415,1155,1895],"native_values":[455,90,455],"rotation_degrees":67.29729729729729,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[455,90,455],"beta":{"interval_sums":[278405,268915,260520],"interval_residues":[275,275,640],"display_cycle":[275,275,640],"intervals":[{"from_index":415,"to_index":1155,"sum":278405,"residue":275},{"from_index":1155,"to_index":1895,"sum":268915,"residue":275},{"from_index":1895,"to_index":415,"sum":260520,"residue":640}],"minimal_cycle":[275,275,640],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":275,"start_interval_clock_positions":[415,1155],"circle_positions":730,"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":[416,1156,1896],"clock_positions":[416,1156,1896],"native_values":[177,177,542],"rotation_degrees":67.45945945945945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,177,542],"beta":{"interval_sums":[278318,269193,260433],"interval_residues":[188,553,553],"display_cycle":[188,553,553],"intervals":[{"from_index":416,"to_index":1156,"sum":278318,"residue":188},{"from_index":1156,"to_index":1896,"sum":269193,"residue":553},{"from_index":1896,"to_index":416,"sum":260433,"residue":553}],"minimal_cycle":[188,553,553],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[416,1156],"circle_positions":730,"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":[417,1157,1897],"clock_positions":[417,1157,1897],"native_values":[632,267,267],"rotation_degrees":67.62162162162163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[632,267,267],"beta":{"interval_sums":[277863,269468,260343],"interval_residues":[463,98,463],"display_cycle":[463,98,463],"intervals":[{"from_index":417,"to_index":1157,"sum":277863,"residue":463},{"from_index":1157,"to_index":1897,"sum":269468,"residue":98},{"from_index":1897,"to_index":417,"sum":260343,"residue":463}],"minimal_cycle":[463,98,463],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":463,"start_interval_clock_positions":[417,1157],"circle_positions":730,"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":[418,1158,1898],"clock_positions":[418,1158,1898],"native_values":[79,444,79],"rotation_degrees":67.78378378378379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,444,79],"beta":{"interval_sums":[278051,269291,260896],"interval_residues":[651,651,286],"display_cycle":[651,651,286],"intervals":[{"from_index":418,"to_index":1158,"sum":278051,"residue":651},{"from_index":1158,"to_index":1898,"sum":269291,"residue":651},{"from_index":1898,"to_index":418,"sum":260896,"residue":286}],"minimal_cycle":[651,651,286],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":651,"start_interval_clock_positions":[418,1158],"circle_positions":730,"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":[419,1159,1899],"clock_positions":[419,1159,1899],"native_values":[711,711,346],"rotation_degrees":67.94594594594595,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[711,711,346],"beta":{"interval_sums":[277784,268659,260629],"interval_residues":[384,19,19],"display_cycle":[384,19,19],"intervals":[{"from_index":419,"to_index":1159,"sum":277784,"residue":384},{"from_index":1159,"to_index":1899,"sum":268659,"residue":19},{"from_index":1899,"to_index":419,"sum":260629,"residue":19}],"minimal_cycle":[384,19,19],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[419,1159],"circle_positions":730,"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":[420,1160,1900],"clock_positions":[420,1160,1900],"native_values":[60,425,425],"rotation_degrees":68.10810810810811,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,425,425],"beta":{"interval_sums":[278435,268580,260915],"interval_residues":[305,670,305],"display_cycle":[305,670,305],"intervals":[{"from_index":420,"to_index":1160,"sum":278435,"residue":305},{"from_index":1160,"to_index":1900,"sum":268580,"residue":670},{"from_index":1900,"to_index":420,"sum":260915,"residue":305}],"minimal_cycle":[305,670,305],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":305,"start_interval_clock_positions":[420,1160],"circle_positions":730,"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":[421,1161,1901],"clock_positions":[421,1161,1901],"native_values":[41,406,41],"rotation_degrees":68.27027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,406,41],"beta":{"interval_sums":[278819,268599,260934],"interval_residues":[689,689,324],"display_cycle":[689,689,324],"intervals":[{"from_index":421,"to_index":1161,"sum":278819,"residue":689},{"from_index":1161,"to_index":1901,"sum":268599,"residue":689},{"from_index":1901,"to_index":421,"sum":260934,"residue":324}],"minimal_cycle":[689,689,324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":689,"start_interval_clock_positions":[421,1161],"circle_positions":730,"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":[422,1162,1902],"clock_positions":[422,1162,1902],"native_values":[101,101,466],"rotation_degrees":68.43243243243244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,101,466],"beta":{"interval_sums":[279124,268539,260509],"interval_residues":[264,629,629],"display_cycle":[264,629,629],"intervals":[{"from_index":422,"to_index":1162,"sum":279124,"residue":264},{"from_index":1162,"to_index":1902,"sum":268539,"residue":629},{"from_index":1902,"to_index":422,"sum":260509,"residue":629}],"minimal_cycle":[264,629,629],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":264,"start_interval_clock_positions":[422,1162],"circle_positions":730,"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":[423,1163,1903],"clock_positions":[423,1163,1903],"native_values":[142,507,507],"rotation_degrees":68.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[142,507,507],"beta":{"interval_sums":[279083,268498,260103],"interval_residues":[223,588,223],"display_cycle":[223,588,223],"intervals":[{"from_index":423,"to_index":1163,"sum":279083,"residue":223},{"from_index":1163,"to_index":1903,"sum":268498,"residue":588},{"from_index":1903,"to_index":423,"sum":260103,"residue":223}],"minimal_cycle":[223,588,223],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":223,"start_interval_clock_positions":[423,1163],"circle_positions":730,"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":[424,1164,1904],"clock_positions":[424,1164,1904],"native_values":[243,608,243],"rotation_degrees":68.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,608,243],"beta":{"interval_sums":[279347,268397,260002],"interval_residues":[487,487,122],"display_cycle":[487,487,122],"intervals":[{"from_index":424,"to_index":1164,"sum":279347,"residue":487},{"from_index":1164,"to_index":1904,"sum":268397,"residue":487},{"from_index":1904,"to_index":424,"sum":260002,"residue":122}],"minimal_cycle":[487,487,122],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":487,"start_interval_clock_positions":[424,1164],"circle_positions":730,"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":[425,1165,1905],"clock_positions":[425,1165,1905],"native_values":[385,385,20],"rotation_degrees":68.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[385,385,20],"beta":{"interval_sums":[279570,268255,260225],"interval_residues":[710,345,345],"display_cycle":[710,345,345],"intervals":[{"from_index":425,"to_index":1165,"sum":279570,"residue":710},{"from_index":1165,"to_index":1905,"sum":268255,"residue":345},{"from_index":1905,"to_index":425,"sum":260225,"residue":345}],"minimal_cycle":[710,345,345],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":710,"start_interval_clock_positions":[425,1165],"circle_positions":730,"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":[426,1166,1906],"clock_positions":[426,1166,1906],"native_values":[628,263,263],"rotation_degrees":69.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[628,263,263],"beta":{"interval_sums":[279327,268012,260347],"interval_residues":[467,102,467],"display_cycle":[467,102,467],"intervals":[{"from_index":426,"to_index":1166,"sum":279327,"residue":467},{"from_index":1166,"to_index":1906,"sum":268012,"residue":102},{"from_index":1906,"to_index":426,"sum":260347,"residue":467}],"minimal_cycle":[467,102,467],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":467,"start_interval_clock_positions":[426,1166],"circle_positions":730,"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":[427,1167,1907],"clock_positions":[427,1167,1907],"native_values":[283,648,283],"rotation_degrees":69.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,648,283],"beta":{"interval_sums":[279307,267627,260692],"interval_residues":[447,447,82],"display_cycle":[447,447,82],"intervals":[{"from_index":427,"to_index":1167,"sum":279307,"residue":447},{"from_index":1167,"to_index":1907,"sum":267627,"residue":447},{"from_index":1907,"to_index":427,"sum":260692,"residue":82}],"minimal_cycle":[447,447,82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":447,"start_interval_clock_positions":[427,1167],"circle_positions":730,"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":[428,1168,1908],"clock_positions":[428,1168,1908],"native_values":[181,181,546],"rotation_degrees":69.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,181,546],"beta":{"interval_sums":[279774,267729,260429],"interval_residues":[184,549,549],"display_cycle":[184,549,549],"intervals":[{"from_index":428,"to_index":1168,"sum":279774,"residue":184},{"from_index":1168,"to_index":1908,"sum":267729,"residue":549},{"from_index":1908,"to_index":428,"sum":260429,"residue":549}],"minimal_cycle":[184,549,549],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":184,"start_interval_clock_positions":[428,1168],"circle_positions":730,"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":[429,1169,1909],"clock_positions":[429,1169,1909],"native_values":[464,99,99],"rotation_degrees":69.56756756756756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[464,99,99],"beta":{"interval_sums":[279491,268176,260511],"interval_residues":[631,266,631],"display_cycle":[631,266,631],"intervals":[{"from_index":429,"to_index":1169,"sum":279491,"residue":631},{"from_index":1169,"to_index":1909,"sum":268176,"residue":266},{"from_index":1909,"to_index":429,"sum":260511,"residue":631}],"minimal_cycle":[631,266,631],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":631,"start_interval_clock_positions":[429,1169],"circle_positions":730,"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":[430,1170,1910],"clock_positions":[430,1170,1910],"native_values":[645,280,645],"rotation_degrees":69.72972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[645,280,645],"beta":{"interval_sums":[278945,267995,260330],"interval_residues":[85,85,450],"display_cycle":[85,85,450],"intervals":[{"from_index":430,"to_index":1170,"sum":278945,"residue":85},{"from_index":1170,"to_index":1910,"sum":267995,"residue":85},{"from_index":1910,"to_index":430,"sum":260330,"residue":450}],"minimal_cycle":[85,85,450],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":85,"start_interval_clock_positions":[430,1170],"circle_positions":730,"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":[431,1171,1911],"clock_positions":[431,1171,1911],"native_values":[379,379,14],"rotation_degrees":69.89189189189189,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[379,379,14],"beta":{"interval_sums":[278846,268261,260961],"interval_residues":[716,351,351],"display_cycle":[716,351,351],"intervals":[{"from_index":431,"to_index":1171,"sum":278846,"residue":716},{"from_index":1171,"to_index":1911,"sum":268261,"residue":351},{"from_index":1911,"to_index":431,"sum":260961,"residue":351}],"minimal_cycle":[716,351,351],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":716,"start_interval_clock_positions":[431,1171],"circle_positions":730,"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":[432,1172,1912],"clock_positions":[432,1172,1912],"native_values":[294,659,659],"rotation_degrees":70.05405405405405,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[294,659,659],"beta":{"interval_sums":[278931,267616,260681],"interval_residues":[71,436,71],"display_cycle":[71,436,71],"intervals":[{"from_index":432,"to_index":1172,"sum":278931,"residue":71},{"from_index":1172,"to_index":1912,"sum":267616,"residue":436},{"from_index":1912,"to_index":432,"sum":260681,"residue":71}],"minimal_cycle":[71,436,71],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":71,"start_interval_clock_positions":[432,1172],"circle_positions":730,"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":[433,1173,1913],"clock_positions":[433,1173,1913],"native_values":[673,308,673],"rotation_degrees":70.21621621621621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[673,308,673],"beta":{"interval_sums":[278917,267967,260302],"interval_residues":[57,57,422],"display_cycle":[57,57,422],"intervals":[{"from_index":433,"to_index":1173,"sum":278917,"residue":57},{"from_index":1173,"to_index":1913,"sum":267967,"residue":57},{"from_index":1913,"to_index":433,"sum":260302,"residue":422}],"minimal_cycle":[57,57,422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":57,"start_interval_clock_positions":[433,1173],"circle_positions":730,"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":[434,1174,1914],"clock_positions":[434,1174,1914],"native_values":[237,237,602],"rotation_degrees":70.37837837837837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,237,602],"beta":{"interval_sums":[278988,268403,260373],"interval_residues":[128,493,493],"display_cycle":[128,493,493],"intervals":[{"from_index":434,"to_index":1174,"sum":278988,"residue":128},{"from_index":1174,"to_index":1914,"sum":268403,"residue":493},{"from_index":1914,"to_index":434,"sum":260373,"residue":493}],"minimal_cycle":[128,493,493],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":128,"start_interval_clock_positions":[434,1174],"circle_positions":730,"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":[435,1175,1915],"clock_positions":[435,1175,1915],"native_values":[180,545,545],"rotation_degrees":70.54054054054055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,545,545],"beta":{"interval_sums":[279045,268460,260065],"interval_residues":[185,550,185],"display_cycle":[185,550,185],"intervals":[{"from_index":435,"to_index":1175,"sum":279045,"residue":185},{"from_index":1175,"to_index":1915,"sum":268460,"residue":550},{"from_index":1915,"to_index":435,"sum":260065,"residue":185}],"minimal_cycle":[185,550,185],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":185,"start_interval_clock_positions":[435,1175],"circle_positions":730,"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":[436,1176,1916],"clock_positions":[436,1176,1916],"native_values":[417,52,417],"rotation_degrees":70.70270270270271,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,52,417],"beta":{"interval_sums":[279173,268953,259828],"interval_residues":[313,313,678],"display_cycle":[313,313,678],"intervals":[{"from_index":436,"to_index":1176,"sum":279173,"residue":313},{"from_index":1176,"to_index":1916,"sum":268953,"residue":313},{"from_index":1916,"to_index":436,"sum":259828,"residue":678}],"minimal_cycle":[313,313,678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":313,"start_interval_clock_positions":[436,1176],"circle_positions":730,"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":[437,1177,1917],"clock_positions":[437,1177,1917],"native_values":[597,597,232],"rotation_degrees":70.86486486486487,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,597,232],"beta":{"interval_sums":[278628,268773,260013],"interval_residues":[498,133,133],"display_cycle":[498,133,133],"intervals":[{"from_index":437,"to_index":1177,"sum":278628,"residue":498},{"from_index":1177,"to_index":1917,"sum":268773,"residue":133},{"from_index":1917,"to_index":437,"sum":260013,"residue":133}],"minimal_cycle":[498,133,133],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[437,1177],"circle_positions":730,"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":[438,1178,1918],"clock_positions":[438,1178,1918],"native_values":[284,649,649],"rotation_degrees":71.02702702702703,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[284,649,649],"beta":{"interval_sums":[278941,268356,259961],"interval_residues":[81,446,81],"display_cycle":[81,446,81],"intervals":[{"from_index":438,"to_index":1178,"sum":278941,"residue":81},{"from_index":1178,"to_index":1918,"sum":268356,"residue":446},{"from_index":1918,"to_index":438,"sum":259961,"residue":81}],"minimal_cycle":[81,446,81],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":81,"start_interval_clock_positions":[438,1178],"circle_positions":730,"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":[439,1179,1919],"clock_positions":[439,1179,1919],"native_values":[151,516,151],"rotation_degrees":71.1891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,516,151],"beta":{"interval_sums":[279439,268489,260094],"interval_residues":[579,579,214],"display_cycle":[579,579,214],"intervals":[{"from_index":439,"to_index":1179,"sum":279439,"residue":579},{"from_index":1179,"to_index":1919,"sum":268489,"residue":579},{"from_index":1919,"to_index":439,"sum":260094,"residue":214}],"minimal_cycle":[579,579,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":579,"start_interval_clock_positions":[439,1179],"circle_positions":730,"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":[440,1180,1920],"clock_positions":[440,1180,1920],"native_values":[435,435,70],"rotation_degrees":71.35135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[435,435,70],"beta":{"interval_sums":[279520,268205,260175],"interval_residues":[660,295,295],"display_cycle":[660,295,295],"intervals":[{"from_index":440,"to_index":1180,"sum":279520,"residue":660},{"from_index":1180,"to_index":1920,"sum":268205,"residue":295},{"from_index":1920,"to_index":440,"sum":260175,"residue":295}],"minimal_cycle":[660,295,295],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":660,"start_interval_clock_positions":[440,1180],"circle_positions":730,"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":[441,1181,1921],"clock_positions":[441,1181,1921],"native_values":[586,221,221],"rotation_degrees":71.51351351351352,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[586,221,221],"beta":{"interval_sums":[279369,268054,260389],"interval_residues":[509,144,509],"display_cycle":[509,144,509],"intervals":[{"from_index":441,"to_index":1181,"sum":279369,"residue":509},{"from_index":1181,"to_index":1921,"sum":268054,"residue":144},{"from_index":1921,"to_index":441,"sum":260389,"residue":509}],"minimal_cycle":[509,144,509],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":509,"start_interval_clock_positions":[441,1181],"circle_positions":730,"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":[442,1182,1922],"clock_positions":[442,1182,1922],"native_values":[291,656,291],"rotation_degrees":71.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,656,291],"beta":{"interval_sums":[279299,267619,260684],"interval_residues":[439,439,74],"display_cycle":[439,439,74],"intervals":[{"from_index":442,"to_index":1182,"sum":279299,"residue":439},{"from_index":1182,"to_index":1922,"sum":267619,"residue":439},{"from_index":1922,"to_index":442,"sum":260684,"residue":74}],"minimal_cycle":[439,439,74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":439,"start_interval_clock_positions":[442,1182],"circle_positions":730,"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":[443,1183,1923],"clock_positions":[443,1183,1923],"native_values":[147,147,512],"rotation_degrees":71.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[147,147,512],"beta":{"interval_sums":[279808,267763,260463],"interval_residues":[218,583,583],"display_cycle":[218,583,583],"intervals":[{"from_index":443,"to_index":1183,"sum":279808,"residue":218},{"from_index":1183,"to_index":1923,"sum":267763,"residue":583},{"from_index":1923,"to_index":443,"sum":260463,"residue":583}],"minimal_cycle":[218,583,583],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":218,"start_interval_clock_positions":[443,1183],"circle_positions":730,"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":[444,1184,1924],"clock_positions":[444,1184,1924],"native_values":[438,73,73],"rotation_degrees":72.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[438,73,73],"beta":{"interval_sums":[279517,268202,260537],"interval_residues":[657,292,657],"display_cycle":[657,292,657],"intervals":[{"from_index":444,"to_index":1184,"sum":279517,"residue":657},{"from_index":1184,"to_index":1924,"sum":268202,"residue":292},{"from_index":1924,"to_index":444,"sum":260537,"residue":657}],"minimal_cycle":[657,292,657],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":657,"start_interval_clock_positions":[444,1184],"circle_positions":730,"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":[445,1185,1925],"clock_positions":[445,1185,1925],"native_values":[585,220,585],"rotation_degrees":72.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[585,220,585],"beta":{"interval_sums":[279005,268055,260390],"interval_residues":[145,145,510],"display_cycle":[145,145,510],"intervals":[{"from_index":445,"to_index":1185,"sum":279005,"residue":145},{"from_index":1185,"to_index":1925,"sum":268055,"residue":145},{"from_index":1925,"to_index":445,"sum":260390,"residue":510}],"minimal_cycle":[145,145,510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":145,"start_interval_clock_positions":[445,1185],"circle_positions":730,"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":[446,1186,1926],"clock_positions":[446,1186,1926],"native_values":[293,293,658],"rotation_degrees":72.32432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[293,293,658],"beta":{"interval_sums":[278932,268347,260317],"interval_residues":[72,437,437],"display_cycle":[72,437,437],"intervals":[{"from_index":446,"to_index":1186,"sum":278932,"residue":72},{"from_index":1186,"to_index":1926,"sum":268347,"residue":437},{"from_index":1926,"to_index":446,"sum":260317,"residue":437}],"minimal_cycle":[72,437,437],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[446,1186],"circle_positions":730,"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":[447,1187,1927],"clock_positions":[447,1187,1927],"native_values":[148,513,513],"rotation_degrees":72.48648648648648,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[148,513,513],"beta":{"interval_sums":[279077,268492,260097],"interval_residues":[217,582,217],"display_cycle":[217,582,217],"intervals":[{"from_index":447,"to_index":1187,"sum":279077,"residue":217},{"from_index":1187,"to_index":1927,"sum":268492,"residue":582},{"from_index":1927,"to_index":447,"sum":260097,"residue":217}],"minimal_cycle":[217,582,217],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":217,"start_interval_clock_positions":[447,1187],"circle_positions":730,"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":[448,1188,1928],"clock_positions":[448,1188,1928],"native_values":[441,76,441],"rotation_degrees":72.64864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,76,441],"beta":{"interval_sums":[279149,268929,259804],"interval_residues":[289,289,654],"display_cycle":[289,289,654],"intervals":[{"from_index":448,"to_index":1188,"sum":279149,"residue":289},{"from_index":1188,"to_index":1928,"sum":268929,"residue":289},{"from_index":1928,"to_index":448,"sum":259804,"residue":654}],"minimal_cycle":[289,289,654],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":289,"start_interval_clock_positions":[448,1188],"circle_positions":730,"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":[449,1189,1929],"clock_positions":[449,1189,1929],"native_values":[589,589,224],"rotation_degrees":72.8108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[589,589,224],"beta":{"interval_sums":[278636,268781,260021],"interval_residues":[506,141,141],"display_cycle":[506,141,141],"intervals":[{"from_index":449,"to_index":1189,"sum":278636,"residue":506},{"from_index":1189,"to_index":1929,"sum":268781,"residue":141},{"from_index":1929,"to_index":449,"sum":260021,"residue":141}],"minimal_cycle":[506,141,141],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":506,"start_interval_clock_positions":[449,1189],"circle_positions":730,"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":[450,1190,1930],"clock_positions":[450,1190,1930],"native_values":[300,665,665],"rotation_degrees":72.97297297297297,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,665,665],"beta":{"interval_sums":[278925,268340,259945],"interval_residues":[65,430,65],"display_cycle":[65,430,65],"intervals":[{"from_index":450,"to_index":1190,"sum":278925,"residue":65},{"from_index":1190,"to_index":1930,"sum":268340,"residue":430},{"from_index":1930,"to_index":450,"sum":259945,"residue":65}],"minimal_cycle":[65,430,65],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":65,"start_interval_clock_positions":[450,1190],"circle_positions":730,"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":[451,1191,1931],"clock_positions":[451,1191,1931],"native_values":[159,524,159],"rotation_degrees":73.13513513513513,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[159,524,159],"beta":{"interval_sums":[279431,268481,260086],"interval_residues":[571,571,206],"display_cycle":[571,571,206],"intervals":[{"from_index":451,"to_index":1191,"sum":279431,"residue":571},{"from_index":1191,"to_index":1931,"sum":268481,"residue":571},{"from_index":1931,"to_index":451,"sum":260086,"residue":206}],"minimal_cycle":[571,571,206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":571,"start_interval_clock_positions":[451,1191],"circle_positions":730,"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":[452,1192,1932],"clock_positions":[452,1192,1932],"native_values":[459,459,94],"rotation_degrees":73.29729729729729,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[459,459,94],"beta":{"interval_sums":[279496,268181,260151],"interval_residues":[636,271,271],"display_cycle":[636,271,271],"intervals":[{"from_index":452,"to_index":1192,"sum":279496,"residue":636},{"from_index":1192,"to_index":1932,"sum":268181,"residue":271},{"from_index":1932,"to_index":452,"sum":260151,"residue":271}],"minimal_cycle":[636,271,271],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":636,"start_interval_clock_positions":[452,1192],"circle_positions":730,"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":[453,1193,1933],"clock_positions":[453,1193,1933],"native_values":[618,253,253],"rotation_degrees":73.45945945945945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[618,253,253],"beta":{"interval_sums":[279337,268022,260357],"interval_residues":[477,112,477],"display_cycle":[477,112,477],"intervals":[{"from_index":453,"to_index":1193,"sum":279337,"residue":477},{"from_index":1193,"to_index":1933,"sum":268022,"residue":112},{"from_index":1933,"to_index":453,"sum":260357,"residue":477}],"minimal_cycle":[477,112,477],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":477,"start_interval_clock_positions":[453,1193],"circle_positions":730,"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":[454,1194,1934],"clock_positions":[454,1194,1934],"native_values":[347,712,347],"rotation_degrees":73.62162162162163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,712,347],"beta":{"interval_sums":[279243,267563,260628],"interval_residues":[383,383,18],"display_cycle":[383,383,18],"intervals":[{"from_index":454,"to_index":1194,"sum":279243,"residue":383},{"from_index":1194,"to_index":1934,"sum":267563,"residue":383},{"from_index":1934,"to_index":454,"sum":260628,"residue":18}],"minimal_cycle":[383,383,18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":383,"start_interval_clock_positions":[454,1194],"circle_positions":730,"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":[455,1195,1935],"clock_positions":[455,1195,1935],"native_values":[235,235,600],"rotation_degrees":73.78378378378379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,235,600],"beta":{"interval_sums":[279720,267675,260375],"interval_residues":[130,495,495],"display_cycle":[130,495,495],"intervals":[{"from_index":455,"to_index":1195,"sum":279720,"residue":130},{"from_index":1195,"to_index":1935,"sum":267675,"residue":495},{"from_index":1935,"to_index":455,"sum":260375,"residue":495}],"minimal_cycle":[130,495,495],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[455,1195],"circle_positions":730,"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":[456,1196,1936],"clock_positions":[456,1196,1936],"native_values":[582,217,217],"rotation_degrees":73.94594594594595,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[582,217,217],"beta":{"interval_sums":[279373,268058,260393],"interval_residues":[513,148,513],"display_cycle":[513,148,513],"intervals":[{"from_index":456,"to_index":1196,"sum":279373,"residue":513},{"from_index":1196,"to_index":1936,"sum":268058,"residue":148},{"from_index":1936,"to_index":456,"sum":260393,"residue":513}],"minimal_cycle":[513,148,513],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":513,"start_interval_clock_positions":[456,1196],"circle_positions":730,"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":[457,1197,1937],"clock_positions":[457,1197,1937],"native_values":[87,452,87],"rotation_degrees":74.10810810810811,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[87,452,87],"beta":{"interval_sums":[279503,267823,260888],"interval_residues":[643,643,278],"display_cycle":[643,643,278],"intervals":[{"from_index":457,"to_index":1197,"sum":279503,"residue":643},{"from_index":1197,"to_index":1937,"sum":267823,"residue":643},{"from_index":1937,"to_index":457,"sum":260888,"residue":278}],"minimal_cycle":[643,643,278],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":643,"start_interval_clock_positions":[457,1197],"circle_positions":730,"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":[458,1198,1938],"clock_positions":[458,1198,1938],"native_values":[669,669,304],"rotation_degrees":74.27027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,669,304],"beta":{"interval_sums":[279286,267241,260671],"interval_residues":[426,61,61],"display_cycle":[426,61,61],"intervals":[{"from_index":458,"to_index":1198,"sum":279286,"residue":426},{"from_index":1198,"to_index":1938,"sum":267241,"residue":61},{"from_index":1938,"to_index":458,"sum":260671,"residue":61}],"minimal_cycle":[426,61,61],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":426,"start_interval_clock_positions":[458,1198],"circle_positions":730,"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":[459,1199,1939],"clock_positions":[459,1199,1939],"native_values":[26,391,391],"rotation_degrees":74.43243243243244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[26,391,391],"beta":{"interval_sums":[279929,267154,260949],"interval_residues":[339,704,339],"display_cycle":[339,704,339],"intervals":[{"from_index":459,"to_index":1199,"sum":279929,"residue":339},{"from_index":1199,"to_index":1939,"sum":267154,"residue":704},{"from_index":1939,"to_index":459,"sum":260949,"residue":339}],"minimal_cycle":[339,704,339],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":339,"start_interval_clock_positions":[459,1199],"circle_positions":730,"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":[460,1200,1940],"clock_positions":[460,1200,1940],"native_values":[695,330,695],"rotation_degrees":74.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[695,330,695],"beta":{"interval_sums":[279625,267215,260280],"interval_residues":[35,35,400],"display_cycle":[35,35,400],"intervals":[{"from_index":460,"to_index":1200,"sum":279625,"residue":35},{"from_index":1200,"to_index":1940,"sum":267215,"residue":35},{"from_index":1940,"to_index":460,"sum":260280,"residue":400}],"minimal_cycle":[35,35,400],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":35,"start_interval_clock_positions":[460,1200],"circle_positions":730,"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":[461,1201,1941],"clock_positions":[461,1201,1941],"native_values":[721,721,356],"rotation_degrees":74.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[721,721,356],"beta":{"interval_sums":[279234,267189,260619],"interval_residues":[374,9,9],"display_cycle":[374,9,9],"intervals":[{"from_index":461,"to_index":1201,"sum":279234,"residue":374},{"from_index":1201,"to_index":1941,"sum":267189,"residue":9},{"from_index":1941,"to_index":461,"sum":260619,"residue":9}],"minimal_cycle":[374,9,9],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":374,"start_interval_clock_positions":[461,1201],"circle_positions":730,"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":[462,1202,1942],"clock_positions":[462,1202,1942],"native_values":[686,321,321],"rotation_degrees":74.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[686,321,321],"beta":{"interval_sums":[279269,267224,261019],"interval_residues":[409,44,409],"display_cycle":[409,44,409],"intervals":[{"from_index":462,"to_index":1202,"sum":279269,"residue":409},{"from_index":1202,"to_index":1942,"sum":267224,"residue":44},{"from_index":1942,"to_index":462,"sum":261019,"residue":409}],"minimal_cycle":[409,44,409],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":409,"start_interval_clock_positions":[462,1202],"circle_positions":730,"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":[463,1203,1943],"clock_positions":[463,1203,1943],"native_values":[677,312,677],"rotation_degrees":75.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[677,312,677],"beta":{"interval_sums":[278913,267233,261028],"interval_residues":[53,53,418],"display_cycle":[53,53,418],"intervals":[{"from_index":463,"to_index":1203,"sum":278913,"residue":53},{"from_index":1203,"to_index":1943,"sum":267233,"residue":53},{"from_index":1943,"to_index":463,"sum":261028,"residue":418}],"minimal_cycle":[53,53,418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":53,"start_interval_clock_positions":[463,1203],"circle_positions":730,"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":[464,1204,1944],"clock_positions":[464,1204,1944],"native_values":[633,633,268],"rotation_degrees":75.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[633,633,268],"beta":{"interval_sums":[278592,267277,261437],"interval_residues":[462,97,97],"display_cycle":[462,97,97],"intervals":[{"from_index":464,"to_index":1204,"sum":278592,"residue":462},{"from_index":1204,"to_index":1944,"sum":267277,"residue":97},{"from_index":1944,"to_index":464,"sum":261437,"residue":97}],"minimal_cycle":[462,97,97],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":462,"start_interval_clock_positions":[464,1204],"circle_positions":730,"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":[465,1205,1945],"clock_positions":[465,1205,1945],"native_values":[580,215,215],"rotation_degrees":75.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[580,215,215],"beta":{"interval_sums":[278645,267330,261855],"interval_residues":[515,150,515],"display_cycle":[515,150,515],"intervals":[{"from_index":465,"to_index":1205,"sum":278645,"residue":515},{"from_index":1205,"to_index":1945,"sum":267330,"residue":150},{"from_index":1945,"to_index":465,"sum":261855,"residue":515}],"minimal_cycle":[515,150,515],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":515,"start_interval_clock_positions":[465,1205],"circle_positions":730,"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":[466,1206,1946],"clock_positions":[466,1206,1946],"native_values":[483,118,483],"rotation_degrees":75.56756756756756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,118,483],"beta":{"interval_sums":[278377,267427,261952],"interval_residues":[247,247,612],"display_cycle":[247,247,612],"intervals":[{"from_index":466,"to_index":1206,"sum":278377,"residue":247},{"from_index":1206,"to_index":1946,"sum":267427,"residue":247},{"from_index":1946,"to_index":466,"sum":261952,"residue":612}],"minimal_cycle":[247,247,612],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":247,"start_interval_clock_positions":[466,1206],"circle_positions":730,"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":[467,1207,1947],"clock_positions":[467,1207,1947],"native_values":[333,333,698],"rotation_degrees":75.72972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,333,698],"beta":{"interval_sums":[278162,267577,261737],"interval_residues":[32,397,397],"display_cycle":[32,397,397],"intervals":[{"from_index":467,"to_index":1207,"sum":278162,"residue":32},{"from_index":1207,"to_index":1947,"sum":267577,"residue":397},{"from_index":1947,"to_index":467,"sum":261737,"residue":397}],"minimal_cycle":[32,397,397],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":32,"start_interval_clock_positions":[467,1207],"circle_positions":730,"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":[468,1208,1948],"clock_positions":[468,1208,1948],"native_values":[86,451,451],"rotation_degrees":75.89189189189189,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[86,451,451],"beta":{"interval_sums":[278409,267824,261619],"interval_residues":[279,644,279],"display_cycle":[279,644,279],"intervals":[{"from_index":468,"to_index":1208,"sum":278409,"residue":279},{"from_index":1208,"to_index":1948,"sum":267824,"residue":644},{"from_index":1948,"to_index":468,"sum":261619,"residue":279}],"minimal_cycle":[279,644,279],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":279,"start_interval_clock_positions":[468,1208],"circle_positions":730,"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":[469,1209,1949],"clock_positions":[469,1209,1949],"native_values":[419,54,419],"rotation_degrees":76.05405405405405,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[419,54,419],"beta":{"interval_sums":[278441,268221,261286],"interval_residues":[311,311,676],"display_cycle":[311,311,676],"intervals":[{"from_index":469,"to_index":1209,"sum":278441,"residue":311},{"from_index":1209,"to_index":1949,"sum":268221,"residue":311},{"from_index":1949,"to_index":469,"sum":261286,"residue":676}],"minimal_cycle":[311,311,676],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":311,"start_interval_clock_positions":[469,1209],"circle_positions":730,"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":[470,1210,1950],"clock_positions":[470,1210,1950],"native_values":[505,505,140],"rotation_degrees":76.21621621621621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[505,505,140],"beta":{"interval_sums":[277990,268135,261565],"interval_residues":[590,225,225],"display_cycle":[590,225,225],"intervals":[{"from_index":470,"to_index":1210,"sum":277990,"residue":590},{"from_index":1210,"to_index":1950,"sum":268135,"residue":225},{"from_index":1950,"to_index":470,"sum":261565,"residue":225}],"minimal_cycle":[590,225,225],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":590,"start_interval_clock_positions":[470,1210],"circle_positions":730,"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":[471,1211,1951],"clock_positions":[471,1211,1951],"native_values":[194,559,559],"rotation_degrees":76.37837837837837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[194,559,559],"beta":{"interval_sums":[278301,267716,261511],"interval_residues":[171,536,171],"display_cycle":[171,536,171],"intervals":[{"from_index":471,"to_index":1211,"sum":278301,"residue":171},{"from_index":1211,"to_index":1951,"sum":267716,"residue":536},{"from_index":1951,"to_index":471,"sum":261511,"residue":171}],"minimal_cycle":[171,536,171],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":171,"start_interval_clock_positions":[471,1211],"circle_positions":730,"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":[472,1212,1952],"clock_positions":[472,1212,1952],"native_values":[699,334,699],"rotation_degrees":76.54054054054055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[699,334,699],"beta":{"interval_sums":[278161,267941,261006],"interval_residues":[31,31,396],"display_cycle":[31,31,396],"intervals":[{"from_index":472,"to_index":1212,"sum":278161,"residue":31},{"from_index":1212,"to_index":1952,"sum":267941,"residue":31},{"from_index":1952,"to_index":472,"sum":261006,"residue":396}],"minimal_cycle":[31,31,396],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":31,"start_interval_clock_positions":[472,1212],"circle_positions":730,"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":[473,1213,1953],"clock_positions":[473,1213,1953],"native_values":[163,163,528],"rotation_degrees":76.70270270270271,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[163,163,528],"beta":{"interval_sums":[278332,268477,261177],"interval_residues":[202,567,567],"display_cycle":[202,567,567],"intervals":[{"from_index":473,"to_index":1213,"sum":278332,"residue":202},{"from_index":1213,"to_index":1953,"sum":268477,"residue":567},{"from_index":1953,"to_index":473,"sum":261177,"residue":567}],"minimal_cycle":[202,567,567],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[473,1213],"circle_positions":730,"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":[474,1214,1954],"clock_positions":[474,1214,1954],"native_values":[132,497,497],"rotation_degrees":76.86486486486487,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,497,497],"beta":{"interval_sums":[278363,268508,260843],"interval_residues":[233,598,233],"display_cycle":[233,598,233],"intervals":[{"from_index":474,"to_index":1214,"sum":278363,"residue":233},{"from_index":1214,"to_index":1954,"sum":268508,"residue":598},{"from_index":1954,"to_index":474,"sum":260843,"residue":233}],"minimal_cycle":[233,598,233],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":233,"start_interval_clock_positions":[474,1214],"circle_positions":730,"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":[475,1215,1955],"clock_positions":[475,1215,1955],"native_values":[295,660,295],"rotation_degrees":77.02702702702703,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,660,295],"beta":{"interval_sums":[278565,268345,260680],"interval_residues":[435,435,70],"display_cycle":[435,435,70],"intervals":[{"from_index":475,"to_index":1215,"sum":278565,"residue":435},{"from_index":1215,"to_index":1955,"sum":268345,"residue":435},{"from_index":1955,"to_index":475,"sum":260680,"residue":70}],"minimal_cycle":[435,435,70],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":435,"start_interval_clock_positions":[475,1215],"circle_positions":730,"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":[476,1216,1956],"clock_positions":[476,1216,1956],"native_values":[427,427,62],"rotation_degrees":77.1891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[427,427,62],"beta":{"interval_sums":[278798,268213,260913],"interval_residues":[668,303,303],"display_cycle":[668,303,303],"intervals":[{"from_index":476,"to_index":1216,"sum":278798,"residue":668},{"from_index":1216,"to_index":1956,"sum":268213,"residue":303},{"from_index":1956,"to_index":476,"sum":260913,"residue":303}],"minimal_cycle":[668,303,303],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":668,"start_interval_clock_positions":[476,1216],"circle_positions":730,"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":[477,1217,1957],"clock_positions":[477,1217,1957],"native_values":[722,357,357],"rotation_degrees":77.35135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[722,357,357],"beta":{"interval_sums":[278503,267918,260983],"interval_residues":[373,8,373],"display_cycle":[373,8,373],"intervals":[{"from_index":477,"to_index":1217,"sum":278503,"residue":373},{"from_index":1217,"to_index":1957,"sum":267918,"residue":8},{"from_index":1957,"to_index":477,"sum":260983,"residue":373}],"minimal_cycle":[373,8,373],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":373,"start_interval_clock_positions":[477,1217],"circle_positions":730,"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":[478,1218,1958],"clock_positions":[478,1218,1958],"native_values":[419,54,419],"rotation_degrees":77.51351351351352,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[419,54,419],"beta":{"interval_sums":[278441,268221,261286],"interval_residues":[311,311,676],"display_cycle":[311,311,676],"intervals":[{"from_index":478,"to_index":1218,"sum":278441,"residue":311},{"from_index":1218,"to_index":1958,"sum":268221,"residue":311},{"from_index":1958,"to_index":478,"sum":261286,"residue":676}],"minimal_cycle":[311,311,676],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":311,"start_interval_clock_positions":[478,1218],"circle_positions":730,"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":[479,1219,1959],"clock_positions":[479,1219,1959],"native_values":[411,411,46],"rotation_degrees":77.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[411,411,46],"beta":{"interval_sums":[278084,268229,261659],"interval_residues":[684,319,319],"display_cycle":[684,319,319],"intervals":[{"from_index":479,"to_index":1219,"sum":278084,"residue":684},{"from_index":1219,"to_index":1959,"sum":268229,"residue":319},{"from_index":1959,"to_index":479,"sum":261659,"residue":319}],"minimal_cycle":[684,319,319],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":684,"start_interval_clock_positions":[479,1219],"circle_positions":730,"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":[480,1220,1960],"clock_positions":[480,1220,1960],"native_values":[100,465,465],"rotation_degrees":77.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[100,465,465],"beta":{"interval_sums":[278395,267810,261605],"interval_residues":[265,630,265],"display_cycle":[265,630,265],"intervals":[{"from_index":480,"to_index":1220,"sum":278395,"residue":265},{"from_index":1220,"to_index":1960,"sum":267810,"residue":630},{"from_index":1960,"to_index":480,"sum":261605,"residue":265}],"minimal_cycle":[265,630,265],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[480,1220],"circle_positions":730,"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":[481,1221,1961],"clock_positions":[481,1221,1961],"native_values":[511,146,511],"rotation_degrees":78.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[511,146,511],"beta":{"interval_sums":[278349,268129,261194],"interval_residues":[219,219,584],"display_cycle":[219,219,584],"intervals":[{"from_index":481,"to_index":1221,"sum":278349,"residue":219},{"from_index":1221,"to_index":1961,"sum":268129,"residue":219},{"from_index":1961,"to_index":481,"sum":261194,"residue":584}],"minimal_cycle":[219,219,584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":219,"start_interval_clock_positions":[481,1221],"circle_positions":730,"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":[482,1222,1962],"clock_positions":[482,1222,1962],"native_values":[611,611,246],"rotation_degrees":78.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[611,611,246],"beta":{"interval_sums":[277884,268029,261459],"interval_residues":[484,119,119],"display_cycle":[484,119,119],"intervals":[{"from_index":482,"to_index":1222,"sum":277884,"residue":484},{"from_index":1222,"to_index":1962,"sum":268029,"residue":119},{"from_index":1962,"to_index":482,"sum":261459,"residue":119}],"minimal_cycle":[484,119,119],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":484,"start_interval_clock_positions":[482,1222],"circle_positions":730,"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":[483,1223,1963],"clock_positions":[483,1223,1963],"native_values":[392,27,27],"rotation_degrees":78.32432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[392,27,27],"beta":{"interval_sums":[278103,268248,262043],"interval_residues":[703,338,703],"display_cycle":[703,338,703],"intervals":[{"from_index":483,"to_index":1223,"sum":278103,"residue":703},{"from_index":1223,"to_index":1963,"sum":268248,"residue":338},{"from_index":1963,"to_index":483,"sum":262043,"residue":703}],"minimal_cycle":[703,338,703],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":703,"start_interval_clock_positions":[483,1223],"circle_positions":730,"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":[484,1224,1964],"clock_positions":[484,1224,1964],"native_values":[273,638,273],"rotation_degrees":78.48648648648648,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[273,638,273],"beta":{"interval_sums":[277857,267637,262162],"interval_residues":[457,457,92],"display_cycle":[457,457,92],"intervals":[{"from_index":484,"to_index":1224,"sum":277857,"residue":457},{"from_index":1224,"to_index":1964,"sum":267637,"residue":457},{"from_index":1964,"to_index":484,"sum":262162,"residue":92}],"minimal_cycle":[457,457,92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":457,"start_interval_clock_positions":[484,1224],"circle_positions":730,"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":[485,1225,1965],"clock_positions":[485,1225,1965],"native_values":[665,665,300],"rotation_degrees":78.64864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[665,665,300],"beta":{"interval_sums":[277830,267245,262135],"interval_residues":[430,65,65],"display_cycle":[430,65,65],"intervals":[{"from_index":485,"to_index":1225,"sum":277830,"residue":430},{"from_index":1225,"to_index":1965,"sum":267245,"residue":65},{"from_index":1965,"to_index":485,"sum":262135,"residue":65}],"minimal_cycle":[430,65,65],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[485,1225],"circle_positions":730,"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":[486,1226,1966],"clock_positions":[486,1226,1966],"native_values":[208,573,573],"rotation_degrees":78.8108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[208,573,573],"beta":{"interval_sums":[278287,266972,262227],"interval_residues":[157,522,157],"display_cycle":[157,522,157],"intervals":[{"from_index":486,"to_index":1226,"sum":278287,"residue":157},{"from_index":1226,"to_index":1966,"sum":266972,"residue":522},{"from_index":1966,"to_index":486,"sum":262227,"residue":157}],"minimal_cycle":[157,522,157],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":157,"start_interval_clock_positions":[486,1226],"circle_positions":730,"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":[487,1227,1967],"clock_positions":[487,1227,1967],"native_values":[143,508,143],"rotation_degrees":78.97297297297297,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[143,508,143],"beta":{"interval_sums":[278717,267037,262292],"interval_residues":[587,587,222],"display_cycle":[587,587,222],"intervals":[{"from_index":487,"to_index":1227,"sum":278717,"residue":587},{"from_index":1227,"to_index":1967,"sum":267037,"residue":587},{"from_index":1967,"to_index":487,"sum":262292,"residue":222}],"minimal_cycle":[587,587,222],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":587,"start_interval_clock_positions":[487,1227],"circle_positions":730,"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":[488,1228,1968],"clock_positions":[488,1228,1968],"native_values":[351,351,716],"rotation_degrees":79.13513513513513,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,351,716],"beta":{"interval_sums":[278874,266829,261719],"interval_residues":[14,379,379],"display_cycle":[14,379,379],"intervals":[{"from_index":488,"to_index":1228,"sum":278874,"residue":14},{"from_index":1228,"to_index":1968,"sum":266829,"residue":379},{"from_index":1968,"to_index":488,"sum":261719,"residue":379}],"minimal_cycle":[14,379,379],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[488,1228],"circle_positions":730,"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":[489,1229,1969],"clock_positions":[489,1229,1969],"native_values":[494,129,129],"rotation_degrees":79.29729729729729,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[494,129,129],"beta":{"interval_sums":[278731,267416,261941],"interval_residues":[601,236,601],"display_cycle":[601,236,601],"intervals":[{"from_index":489,"to_index":1229,"sum":278731,"residue":601},{"from_index":1229,"to_index":1969,"sum":267416,"residue":236},{"from_index":1969,"to_index":489,"sum":261941,"residue":601}],"minimal_cycle":[601,236,601],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":601,"start_interval_clock_positions":[489,1229],"circle_positions":730,"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":[490,1230,1970],"clock_positions":[490,1230,1970],"native_values":[115,480,115],"rotation_degrees":79.45945945945945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,480,115],"beta":{"interval_sums":[278745,267065,262320],"interval_residues":[615,615,250],"display_cycle":[615,615,250],"intervals":[{"from_index":490,"to_index":1230,"sum":278745,"residue":615},{"from_index":1230,"to_index":1970,"sum":267065,"residue":615},{"from_index":1970,"to_index":490,"sum":262320,"residue":250}],"minimal_cycle":[615,615,250],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":615,"start_interval_clock_positions":[490,1230],"circle_positions":730,"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":[491,1231,1971],"clock_positions":[491,1231,1971],"native_values":[609,609,244],"rotation_degrees":79.62162162162163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[609,609,244],"beta":{"interval_sums":[278616,266571,262191],"interval_residues":[486,121,121],"display_cycle":[486,121,121],"intervals":[{"from_index":491,"to_index":1231,"sum":278616,"residue":486},{"from_index":1231,"to_index":1971,"sum":266571,"residue":121},{"from_index":1971,"to_index":491,"sum":262191,"residue":121}],"minimal_cycle":[486,121,121],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":486,"start_interval_clock_positions":[491,1231],"circle_positions":730,"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":[492,1232,1972],"clock_positions":[492,1232,1972],"native_values":[724,359,359],"rotation_degrees":79.78378378378379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[724,359,359],"beta":{"interval_sums":[278501,266456,262441],"interval_residues":[371,6,371],"display_cycle":[371,6,371],"intervals":[{"from_index":492,"to_index":1232,"sum":278501,"residue":371},{"from_index":1232,"to_index":1972,"sum":266456,"residue":6},{"from_index":1972,"to_index":492,"sum":262441,"residue":371}],"minimal_cycle":[371,6,371],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":371,"start_interval_clock_positions":[492,1232],"circle_positions":730,"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":[493,1233,1973],"clock_positions":[493,1233,1973],"native_values":[603,238,603],"rotation_degrees":79.94594594594595,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[603,238,603],"beta":{"interval_sums":[278257,266577,262562],"interval_residues":[127,127,492],"display_cycle":[127,127,492],"intervals":[{"from_index":493,"to_index":1233,"sum":278257,"residue":127},{"from_index":1233,"to_index":1973,"sum":266577,"residue":127},{"from_index":1973,"to_index":493,"sum":262562,"residue":492}],"minimal_cycle":[127,127,492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":127,"start_interval_clock_positions":[493,1233],"circle_positions":730,"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":[494,1234,1974],"clock_positions":[494,1234,1974],"native_values":[597,597,232],"rotation_degrees":80.10810810810811,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,597,232],"beta":{"interval_sums":[277898,266583,262933],"interval_residues":[498,133,133],"display_cycle":[498,133,133],"intervals":[{"from_index":494,"to_index":1234,"sum":277898,"residue":498},{"from_index":1234,"to_index":1974,"sum":266583,"residue":133},{"from_index":1974,"to_index":494,"sum":262933,"residue":133}],"minimal_cycle":[498,133,133],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[494,1234],"circle_positions":730,"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":[495,1235,1975],"clock_positions":[495,1235,1975],"native_values":[470,105,105],"rotation_degrees":80.27027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[470,105,105],"beta":{"interval_sums":[278025,266710,263425],"interval_residues":[625,260,625],"display_cycle":[625,260,625],"intervals":[{"from_index":495,"to_index":1235,"sum":278025,"residue":625},{"from_index":1235,"to_index":1975,"sum":266710,"residue":260},{"from_index":1975,"to_index":495,"sum":263425,"residue":625}],"minimal_cycle":[625,260,625],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":625,"start_interval_clock_positions":[495,1235],"circle_positions":730,"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":[496,1236,1976],"clock_positions":[496,1236,1976],"native_values":[337,702,337],"rotation_degrees":80.43243243243244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,702,337],"beta":{"interval_sums":[277793,266113,263558],"interval_residues":[393,393,28],"display_cycle":[393,393,28],"intervals":[{"from_index":496,"to_index":1236,"sum":277793,"residue":393},{"from_index":1236,"to_index":1976,"sum":266113,"residue":393},{"from_index":1976,"to_index":496,"sum":263558,"residue":28}],"minimal_cycle":[393,393,28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":393,"start_interval_clock_positions":[496,1236],"circle_positions":730,"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":[497,1237,1977],"clock_positions":[497,1237,1977],"native_values":[77,77,442],"rotation_degrees":80.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,77,442],"beta":{"interval_sums":[278418,266373,263453],"interval_residues":[288,653,653],"display_cycle":[288,653,653],"intervals":[{"from_index":497,"to_index":1237,"sum":278418,"residue":288},{"from_index":1237,"to_index":1977,"sum":266373,"residue":653},{"from_index":1977,"to_index":497,"sum":263453,"residue":653}],"minimal_cycle":[288,653,653],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[497,1237],"circle_positions":730,"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":[498,1238,1978],"clock_positions":[498,1238,1978],"native_values":[414,49,49],"rotation_degrees":80.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[414,49,49],"beta":{"interval_sums":[278081,266766,263481],"interval_residues":[681,316,681],"display_cycle":[681,316,681],"intervals":[{"from_index":498,"to_index":1238,"sum":278081,"residue":681},{"from_index":1238,"to_index":1978,"sum":266766,"residue":316},{"from_index":1978,"to_index":498,"sum":263481,"residue":681}],"minimal_cycle":[681,316,681],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":681,"start_interval_clock_positions":[498,1238],"circle_positions":730,"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":[499,1239,1979],"clock_positions":[499,1239,1979],"native_values":[491,126,491],"rotation_degrees":80.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[491,126,491],"beta":{"interval_sums":[277639,266689,263404],"interval_residues":[239,239,604],"display_cycle":[239,239,604],"intervals":[{"from_index":499,"to_index":1239,"sum":277639,"residue":239},{"from_index":1239,"to_index":1979,"sum":266689,"residue":239},{"from_index":1979,"to_index":499,"sum":263404,"residue":604}],"minimal_cycle":[239,239,604],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":239,"start_interval_clock_positions":[499,1239],"circle_positions":730,"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":[500,1240,1980],"clock_positions":[500,1240,1980],"native_values":[175,175,540],"rotation_degrees":81.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[175,175,540],"beta":{"interval_sums":[277590,267005,263355],"interval_residues":[190,555,555],"display_cycle":[190,555,555],"intervals":[{"from_index":500,"to_index":1240,"sum":277590,"residue":190},{"from_index":1240,"to_index":1980,"sum":267005,"residue":555},{"from_index":1980,"to_index":500,"sum":263355,"residue":555}],"minimal_cycle":[190,555,555],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":190,"start_interval_clock_positions":[500,1240],"circle_positions":730,"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":[501,1241,1981],"clock_positions":[501,1241,1981],"native_values":[666,301,301],"rotation_degrees":81.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[666,301,301],"beta":{"interval_sums":[277099,267244,263229],"interval_residues":[429,64,429],"display_cycle":[429,64,429],"intervals":[{"from_index":501,"to_index":1241,"sum":277099,"residue":429},{"from_index":1241,"to_index":1981,"sum":267244,"residue":64},{"from_index":1981,"to_index":501,"sum":263229,"residue":429}],"minimal_cycle":[429,64,429],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":429,"start_interval_clock_positions":[501,1241],"circle_positions":730,"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":[502,1242,1982],"clock_positions":[502,1242,1982],"native_values":[111,476,111],"rotation_degrees":81.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[111,476,111],"beta":{"interval_sums":[277289,267069,263784],"interval_residues":[619,619,254],"display_cycle":[619,619,254],"intervals":[{"from_index":502,"to_index":1242,"sum":277289,"residue":619},{"from_index":1242,"to_index":1982,"sum":267069,"residue":619},{"from_index":1982,"to_index":502,"sum":263784,"residue":254}],"minimal_cycle":[619,619,254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":619,"start_interval_clock_positions":[502,1242],"circle_positions":730,"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":[503,1243,1983],"clock_positions":[503,1243,1983],"native_values":[47,47,412],"rotation_degrees":81.56756756756756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,47,412],"beta":{"interval_sums":[277718,267133,263483],"interval_residues":[318,683,683],"display_cycle":[318,683,683],"intervals":[{"from_index":503,"to_index":1243,"sum":277718,"residue":318},{"from_index":1243,"to_index":1983,"sum":267133,"residue":683},{"from_index":1983,"to_index":503,"sum":263483,"residue":683}],"minimal_cycle":[318,683,683],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":318,"start_interval_clock_positions":[503,1243],"circle_positions":730,"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":[504,1244,1984],"clock_positions":[504,1244,1984],"native_values":[158,523,523],"rotation_degrees":81.72972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[158,523,523],"beta":{"interval_sums":[277607,267022,263007],"interval_residues":[207,572,207],"display_cycle":[207,572,207],"intervals":[{"from_index":504,"to_index":1244,"sum":277607,"residue":207},{"from_index":1244,"to_index":1984,"sum":267022,"residue":572},{"from_index":1984,"to_index":504,"sum":263007,"residue":207}],"minimal_cycle":[207,572,207],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":207,"start_interval_clock_positions":[504,1244],"circle_positions":730,"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":[505,1245,1985],"clock_positions":[505,1245,1985],"native_values":[205,570,205],"rotation_degrees":81.89189189189189,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,570,205],"beta":{"interval_sums":[277925,266975,262960],"interval_residues":[525,525,160],"display_cycle":[525,525,160],"intervals":[{"from_index":505,"to_index":1245,"sum":277925,"residue":525},{"from_index":1245,"to_index":1985,"sum":266975,"residue":525},{"from_index":1985,"to_index":505,"sum":262960,"residue":160}],"minimal_cycle":[525,525,160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":525,"start_interval_clock_positions":[505,1245],"circle_positions":730,"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":[506,1246,1986],"clock_positions":[506,1246,1986],"native_values":[363,363,728],"rotation_degrees":82.05405405405405,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[363,363,728],"beta":{"interval_sums":[278132,266817,262437],"interval_residues":[2,367,367],"display_cycle":[2,367,367],"intervals":[{"from_index":506,"to_index":1246,"sum":278132,"residue":2},{"from_index":1246,"to_index":1986,"sum":266817,"residue":367},{"from_index":1986,"to_index":506,"sum":262437,"residue":367}],"minimal_cycle":[2,367,367],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[506,1246],"circle_positions":730,"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":[507,1247,1987],"clock_positions":[507,1247,1987],"native_values":[568,203,203],"rotation_degrees":82.21621621621621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[568,203,203],"beta":{"interval_sums":[277927,267342,262597],"interval_residues":[527,162,527],"display_cycle":[527,162,527],"intervals":[{"from_index":507,"to_index":1247,"sum":277927,"residue":527},{"from_index":1247,"to_index":1987,"sum":267342,"residue":162},{"from_index":1987,"to_index":507,"sum":262597,"residue":527}],"minimal_cycle":[527,162,527],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":527,"start_interval_clock_positions":[507,1247],"circle_positions":730,"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":[508,1248,1988],"clock_positions":[508,1248,1988],"native_values":[201,566,201],"rotation_degrees":82.37837837837837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[201,566,201],"beta":{"interval_sums":[277929,266979,262964],"interval_residues":[529,529,164],"display_cycle":[529,529,164],"intervals":[{"from_index":508,"to_index":1248,"sum":277929,"residue":529},{"from_index":1248,"to_index":1988,"sum":266979,"residue":529},{"from_index":1988,"to_index":508,"sum":262964,"residue":164}],"minimal_cycle":[529,529,164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":529,"start_interval_clock_positions":[508,1248],"circle_positions":730,"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":[509,1249,1989],"clock_positions":[509,1249,1989],"native_values":[39,39,404],"rotation_degrees":82.54054054054055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[39,39,404],"beta":{"interval_sums":[278456,267141,262761],"interval_residues":[326,691,691],"display_cycle":[326,691,691],"intervals":[{"from_index":509,"to_index":1249,"sum":278456,"residue":326},{"from_index":1249,"to_index":1989,"sum":267141,"residue":691},{"from_index":1989,"to_index":509,"sum":262761,"residue":691}],"minimal_cycle":[326,691,691],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[509,1249],"circle_positions":730,"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":[510,1250,1990],"clock_positions":[510,1250,1990],"native_values":[240,605,605],"rotation_degrees":82.70270270270271,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[240,605,605],"beta":{"interval_sums":[278255,266940,262195],"interval_residues":[125,490,125],"display_cycle":[125,490,125],"intervals":[{"from_index":510,"to_index":1250,"sum":278255,"residue":125},{"from_index":1250,"to_index":1990,"sum":266940,"residue":490},{"from_index":1990,"to_index":510,"sum":262195,"residue":125}],"minimal_cycle":[125,490,125],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":125,"start_interval_clock_positions":[510,1250],"circle_positions":730,"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":[511,1251,1991],"clock_positions":[511,1251,1991],"native_values":[279,644,279],"rotation_degrees":82.86486486486487,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,644,279],"beta":{"interval_sums":[278581,266901,262156],"interval_residues":[451,451,86],"display_cycle":[451,451,86],"intervals":[{"from_index":511,"to_index":1251,"sum":278581,"residue":451},{"from_index":1251,"to_index":1991,"sum":266901,"residue":451},{"from_index":1991,"to_index":511,"sum":262156,"residue":86}],"minimal_cycle":[451,451,86],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":451,"start_interval_clock_positions":[511,1251],"circle_positions":730,"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":[512,1252,1992],"clock_positions":[512,1252,1992],"native_values":[519,519,154],"rotation_degrees":83.02702702702703,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[519,519,154],"beta":{"interval_sums":[278706,266661,262281],"interval_residues":[576,211,211],"display_cycle":[576,211,211],"intervals":[{"from_index":512,"to_index":1252,"sum":278706,"residue":576},{"from_index":1252,"to_index":1992,"sum":266661,"residue":211},{"from_index":1992,"to_index":512,"sum":262281,"residue":211}],"minimal_cycle":[576,211,211],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":576,"start_interval_clock_positions":[512,1252],"circle_positions":730,"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":[513,1253,1993],"clock_positions":[513,1253,1993],"native_values":[68,433,433],"rotation_degrees":83.1891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[68,433,433],"beta":{"interval_sums":[279157,266382,262367],"interval_residues":[297,662,297],"display_cycle":[297,662,297],"intervals":[{"from_index":513,"to_index":1253,"sum":279157,"residue":297},{"from_index":1253,"to_index":1993,"sum":266382,"residue":662},{"from_index":1993,"to_index":513,"sum":262367,"residue":297}],"minimal_cycle":[297,662,297],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":297,"start_interval_clock_positions":[513,1253],"circle_positions":730,"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":[514,1254,1994],"clock_positions":[514,1254,1994],"native_values":[587,222,587],"rotation_degrees":83.35135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,222,587],"beta":{"interval_sums":[279003,266593,261848],"interval_residues":[143,143,508],"display_cycle":[143,143,508],"intervals":[{"from_index":514,"to_index":1254,"sum":279003,"residue":143},{"from_index":1254,"to_index":1994,"sum":266593,"residue":143},{"from_index":1994,"to_index":514,"sum":261848,"residue":508}],"minimal_cycle":[143,143,508],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":143,"start_interval_clock_positions":[514,1254],"circle_positions":730,"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":[515,1255,1995],"clock_positions":[515,1255,1995],"native_values":[655,655,290],"rotation_degrees":83.51351351351352,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[655,655,290],"beta":{"interval_sums":[278570,266525,262145],"interval_residues":[440,75,75],"display_cycle":[440,75,75],"intervals":[{"from_index":515,"to_index":1255,"sum":278570,"residue":440},{"from_index":1255,"to_index":1995,"sum":266525,"residue":75},{"from_index":1995,"to_index":515,"sum":262145,"residue":75}],"minimal_cycle":[440,75,75],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[515,1255],"circle_positions":730,"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":[516,1256,1996],"clock_positions":[516,1256,1996],"native_values":[512,147,147],"rotation_degrees":83.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[512,147,147],"beta":{"interval_sums":[278713,266668,262653],"interval_residues":[583,218,583],"display_cycle":[583,218,583],"intervals":[{"from_index":516,"to_index":1256,"sum":278713,"residue":583},{"from_index":1256,"to_index":1996,"sum":266668,"residue":218},{"from_index":1996,"to_index":516,"sum":262653,"residue":583}],"minimal_cycle":[583,218,583],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":583,"start_interval_clock_positions":[516,1256],"circle_positions":730,"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":[517,1257,1997],"clock_positions":[517,1257,1997],"native_values":[437,72,437],"rotation_degrees":83.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[437,72,437],"beta":{"interval_sums":[278423,266743,262728],"interval_residues":[293,293,658],"display_cycle":[293,293,658],"intervals":[{"from_index":517,"to_index":1257,"sum":278423,"residue":293},{"from_index":1257,"to_index":1997,"sum":266743,"residue":293},{"from_index":1997,"to_index":517,"sum":262728,"residue":658}],"minimal_cycle":[293,293,658],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":293,"start_interval_clock_positions":[517,1257],"circle_positions":730,"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":[518,1258,1998],"clock_positions":[518,1258,1998],"native_values":[219,219,584],"rotation_degrees":84.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,219,584],"beta":{"interval_sums":[278276,266961,262581],"interval_residues":[146,511,511],"display_cycle":[146,511,511],"intervals":[{"from_index":518,"to_index":1258,"sum":278276,"residue":146},{"from_index":1258,"to_index":1998,"sum":266961,"residue":511},{"from_index":1998,"to_index":518,"sum":262581,"residue":511}],"minimal_cycle":[146,511,511],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[518,1258],"circle_positions":730,"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":[519,1259,1999],"clock_positions":[519,1259,1999],"native_values":[656,291,291],"rotation_degrees":84.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[656,291,291],"beta":{"interval_sums":[277839,267254,262509],"interval_residues":[439,74,439],"display_cycle":[439,74,439],"intervals":[{"from_index":519,"to_index":1259,"sum":277839,"residue":439},{"from_index":1259,"to_index":1999,"sum":267254,"residue":74},{"from_index":1999,"to_index":519,"sum":262509,"residue":439}],"minimal_cycle":[439,74,439],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":439,"start_interval_clock_positions":[519,1259],"circle_positions":730,"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":[520,1260,2000],"clock_positions":[520,1260,2000],"native_values":[145,510,145],"rotation_degrees":84.32432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[145,510,145],"beta":{"interval_sums":[277985,267035,263020],"interval_residues":[585,585,220],"display_cycle":[585,585,220],"intervals":[{"from_index":520,"to_index":1260,"sum":277985,"residue":585},{"from_index":1260,"to_index":2000,"sum":267035,"residue":585},{"from_index":2000,"to_index":520,"sum":263020,"residue":220}],"minimal_cycle":[585,585,220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":585,"start_interval_clock_positions":[520,1260],"circle_positions":730,"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":[521,1261,2001],"clock_positions":[521,1261,2001],"native_values":[71,71,436],"rotation_degrees":84.48648648648648,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[71,71,436],"beta":{"interval_sums":[278424,267109,262729],"interval_residues":[294,659,659],"display_cycle":[294,659,659],"intervals":[{"from_index":521,"to_index":1261,"sum":278424,"residue":294},{"from_index":1261,"to_index":2001,"sum":267109,"residue":659},{"from_index":2001,"to_index":521,"sum":262729,"residue":659}],"minimal_cycle":[294,659,659],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[521,1261],"circle_positions":730,"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":[522,1262,2002],"clock_positions":[522,1262,2002],"native_values":[216,581,581],"rotation_degrees":84.64864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[216,581,581],"beta":{"interval_sums":[278279,266964,262219],"interval_residues":[149,514,149],"display_cycle":[149,514,149],"intervals":[{"from_index":522,"to_index":1262,"sum":278279,"residue":149},{"from_index":1262,"to_index":2002,"sum":266964,"residue":514},{"from_index":2002,"to_index":522,"sum":262219,"residue":149}],"minimal_cycle":[149,514,149],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":149,"start_interval_clock_positions":[522,1262],"circle_positions":730,"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":[523,1263,2003],"clock_positions":[523,1263,2003],"native_values":[287,652,287],"rotation_degrees":84.8108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,652,287],"beta":{"interval_sums":[278573,266893,262148],"interval_residues":[443,443,78],"display_cycle":[443,443,78],"intervals":[{"from_index":523,"to_index":1263,"sum":278573,"residue":443},{"from_index":1263,"to_index":2003,"sum":266893,"residue":443},{"from_index":2003,"to_index":523,"sum":262148,"residue":78}],"minimal_cycle":[443,443,78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":443,"start_interval_clock_positions":[523,1263],"circle_positions":730,"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":[524,1264,2004],"clock_positions":[524,1264,2004],"native_values":[503,503,138],"rotation_degrees":84.97297297297297,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[503,503,138],"beta":{"interval_sums":[278722,266677,262297],"interval_residues":[592,227,227],"display_cycle":[592,227,227],"intervals":[{"from_index":524,"to_index":1264,"sum":278722,"residue":592},{"from_index":1264,"to_index":2004,"sum":266677,"residue":227},{"from_index":2004,"to_index":524,"sum":262297,"residue":227}],"minimal_cycle":[592,227,227],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":592,"start_interval_clock_positions":[524,1264],"circle_positions":730,"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":[525,1265,2005],"clock_positions":[525,1265,2005],"native_values":[60,425,425],"rotation_degrees":85.13513513513513,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,425,425],"beta":{"interval_sums":[279165,266390,262375],"interval_residues":[305,670,305],"display_cycle":[305,670,305],"intervals":[{"from_index":525,"to_index":1265,"sum":279165,"residue":305},{"from_index":1265,"to_index":2005,"sum":266390,"residue":670},{"from_index":2005,"to_index":525,"sum":262375,"residue":305}],"minimal_cycle":[305,670,305],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":305,"start_interval_clock_positions":[525,1265],"circle_positions":730,"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":[526,1266,2006],"clock_positions":[526,1266,2006],"native_values":[563,198,563],"rotation_degrees":85.29729729729729,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[563,198,563],"beta":{"interval_sums":[279027,266617,261872],"interval_residues":[167,167,532],"display_cycle":[167,167,532],"intervals":[{"from_index":526,"to_index":1266,"sum":279027,"residue":167},{"from_index":1266,"to_index":2006,"sum":266617,"residue":167},{"from_index":2006,"to_index":526,"sum":261872,"residue":532}],"minimal_cycle":[167,167,532],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":167,"start_interval_clock_positions":[526,1266],"circle_positions":730,"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":[527,1267,2007],"clock_positions":[527,1267,2007],"native_values":[623,623,258],"rotation_degrees":85.45945945945945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[623,623,258],"beta":{"interval_sums":[278602,266557,262177],"interval_residues":[472,107,107],"display_cycle":[472,107,107],"intervals":[{"from_index":527,"to_index":1267,"sum":278602,"residue":472},{"from_index":1267,"to_index":2007,"sum":266557,"residue":107},{"from_index":2007,"to_index":527,"sum":262177,"residue":107}],"minimal_cycle":[472,107,107],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":472,"start_interval_clock_positions":[527,1267],"circle_positions":730,"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":[528,1268,2008],"clock_positions":[528,1268,2008],"native_values":[456,91,91],"rotation_degrees":85.62162162162163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[456,91,91],"beta":{"interval_sums":[278769,266724,262709],"interval_residues":[639,274,639],"display_cycle":[639,274,639],"intervals":[{"from_index":528,"to_index":1268,"sum":278769,"residue":639},{"from_index":1268,"to_index":2008,"sum":266724,"residue":274},{"from_index":2008,"to_index":528,"sum":262709,"residue":639}],"minimal_cycle":[639,274,639],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":639,"start_interval_clock_positions":[528,1268],"circle_positions":730,"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":[529,1269,2009],"clock_positions":[529,1269,2009],"native_values":[349,714,349],"rotation_degrees":85.78378378378379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,714,349],"beta":{"interval_sums":[278511,266101,262816],"interval_residues":[381,381,16],"display_cycle":[381,381,16],"intervals":[{"from_index":529,"to_index":1269,"sum":278511,"residue":381},{"from_index":1269,"to_index":2009,"sum":266101,"residue":381},{"from_index":2009,"to_index":529,"sum":262816,"residue":16}],"minimal_cycle":[381,381,16],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":381,"start_interval_clock_positions":[529,1269],"circle_positions":730,"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":[530,1270,2010],"clock_positions":[530,1270,2010],"native_values":[75,75,440],"rotation_degrees":85.94594594594595,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,75,440],"beta":{"interval_sums":[279150,266375,262725],"interval_residues":[290,655,655],"display_cycle":[290,655,655],"intervals":[{"from_index":530,"to_index":1270,"sum":279150,"residue":290},{"from_index":1270,"to_index":2010,"sum":266375,"residue":655},{"from_index":2010,"to_index":530,"sum":262725,"residue":655}],"minimal_cycle":[290,655,655],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[530,1270],"circle_positions":730,"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":[531,1271,2011],"clock_positions":[531,1271,2011],"native_values":[424,59,59],"rotation_degrees":86.10810810810811,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[424,59,59],"beta":{"interval_sums":[278801,266756,262741],"interval_residues":[671,306,671],"display_cycle":[671,306,671],"intervals":[{"from_index":531,"to_index":1271,"sum":278801,"residue":671},{"from_index":1271,"to_index":2011,"sum":266756,"residue":306},{"from_index":2011,"to_index":531,"sum":262741,"residue":671}],"minimal_cycle":[671,306,671],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":671,"start_interval_clock_positions":[531,1271],"circle_positions":730,"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":[532,1272,2012],"clock_positions":[532,1272,2012],"native_values":[499,134,499],"rotation_degrees":86.27027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[499,134,499],"beta":{"interval_sums":[278361,266681,262666],"interval_residues":[231,231,596],"display_cycle":[231,231,596],"intervals":[{"from_index":532,"to_index":1272,"sum":278361,"residue":231},{"from_index":1272,"to_index":2012,"sum":266681,"residue":231},{"from_index":2012,"to_index":532,"sum":262666,"residue":596}],"minimal_cycle":[231,231,596],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":231,"start_interval_clock_positions":[532,1272],"circle_positions":730,"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":[533,1273,2013],"clock_positions":[533,1273,2013],"native_values":[193,193,558],"rotation_degrees":86.43243243243244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,193,558],"beta":{"interval_sums":[278302,266987,262607],"interval_residues":[172,537,537],"display_cycle":[172,537,537],"intervals":[{"from_index":533,"to_index":1273,"sum":278302,"residue":172},{"from_index":1273,"to_index":2013,"sum":266987,"residue":537},{"from_index":2013,"to_index":533,"sum":262607,"residue":537}],"minimal_cycle":[172,537,537],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":172,"start_interval_clock_positions":[533,1273],"circle_positions":730,"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":[534,1274,2014],"clock_positions":[534,1274,2014],"native_values":[692,327,327],"rotation_degrees":86.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[692,327,327],"beta":{"interval_sums":[277803,267218,262473],"interval_residues":[403,38,403],"display_cycle":[403,38,403],"intervals":[{"from_index":534,"to_index":1274,"sum":277803,"residue":403},{"from_index":1274,"to_index":2014,"sum":267218,"residue":38},{"from_index":2014,"to_index":534,"sum":262473,"residue":403}],"minimal_cycle":[403,38,403],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":403,"start_interval_clock_positions":[534,1274],"circle_positions":730,"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":[535,1275,2015],"clock_positions":[535,1275,2015],"native_values":[155,520,155],"rotation_degrees":86.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,520,155],"beta":{"interval_sums":[277975,267025,263010],"interval_residues":[575,575,210],"display_cycle":[575,575,210],"intervals":[{"from_index":535,"to_index":1275,"sum":277975,"residue":575},{"from_index":1275,"to_index":2015,"sum":267025,"residue":575},{"from_index":2015,"to_index":535,"sum":263010,"residue":210}],"minimal_cycle":[575,575,210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":575,"start_interval_clock_positions":[535,1275],"circle_positions":730,"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":[536,1276,2016],"clock_positions":[536,1276,2016],"native_values":[117,117,482],"rotation_degrees":86.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,117,482],"beta":{"interval_sums":[278378,267063,262683],"interval_residues":[248,613,613],"display_cycle":[248,613,613],"intervals":[{"from_index":536,"to_index":1276,"sum":278378,"residue":248},{"from_index":1276,"to_index":2016,"sum":267063,"residue":613},{"from_index":2016,"to_index":536,"sum":262683,"residue":613}],"minimal_cycle":[248,613,613],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[536,1276],"circle_positions":730,"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":[537,1277,2017],"clock_positions":[537,1277,2017],"native_values":[272,637,637],"rotation_degrees":87.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[272,637,637],"beta":{"interval_sums":[278223,266908,262163],"interval_residues":[93,458,93],"display_cycle":[93,458,93],"intervals":[{"from_index":537,"to_index":1277,"sum":278223,"residue":93},{"from_index":1277,"to_index":2017,"sum":266908,"residue":458},{"from_index":2017,"to_index":537,"sum":262163,"residue":93}],"minimal_cycle":[93,458,93],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":93,"start_interval_clock_positions":[537,1277],"circle_positions":730,"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":[538,1278,2018],"clock_positions":[538,1278,2018],"native_values":[389,24,389],"rotation_degrees":87.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[389,24,389],"beta":{"interval_sums":[278471,267521,262046],"interval_residues":[341,341,706],"display_cycle":[341,341,706],"intervals":[{"from_index":538,"to_index":1278,"sum":278471,"residue":341},{"from_index":1278,"to_index":2018,"sum":267521,"residue":341},{"from_index":2018,"to_index":538,"sum":262046,"residue":706}],"minimal_cycle":[341,341,706],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":341,"start_interval_clock_positions":[538,1278],"circle_positions":730,"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":[539,1279,2019],"clock_positions":[539,1279,2019],"native_values":[661,661,296],"rotation_degrees":87.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[661,661,296],"beta":{"interval_sums":[277834,267249,262139],"interval_residues":[434,69,69],"display_cycle":[434,69,69],"intervals":[{"from_index":539,"to_index":1279,"sum":277834,"residue":434},{"from_index":1279,"to_index":2019,"sum":267249,"residue":69},{"from_index":2019,"to_index":539,"sum":262139,"residue":69}],"minimal_cycle":[434,69,69],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[539,1279],"circle_positions":730,"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":[540,1280,2020],"clock_positions":[540,1280,2020],"native_values":[320,685,685],"rotation_degrees":87.56756756756756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[320,685,685],"beta":{"interval_sums":[278175,266860,262115],"interval_residues":[45,410,45],"display_cycle":[45,410,45],"intervals":[{"from_index":540,"to_index":1280,"sum":278175,"residue":45},{"from_index":1280,"to_index":2020,"sum":266860,"residue":410},{"from_index":2020,"to_index":540,"sum":262115,"residue":45}],"minimal_cycle":[45,410,45],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":45,"start_interval_clock_positions":[540,1280],"circle_positions":730,"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":[541,1281,2021],"clock_positions":[541,1281,2021],"native_values":[251,616,251],"rotation_degrees":87.72972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[251,616,251],"beta":{"interval_sums":[278609,266929,262184],"interval_residues":[479,479,114],"display_cycle":[479,479,114],"intervals":[{"from_index":541,"to_index":1281,"sum":278609,"residue":479},{"from_index":1281,"to_index":2021,"sum":266929,"residue":479},{"from_index":2021,"to_index":541,"sum":262184,"residue":114}],"minimal_cycle":[479,479,114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":479,"start_interval_clock_positions":[541,1281],"circle_positions":730,"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":[542,1282,2022],"clock_positions":[542,1282,2022],"native_values":[571,571,206],"rotation_degrees":87.89189189189189,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[571,571,206],"beta":{"interval_sums":[278654,266609,262229],"interval_residues":[524,159,159],"display_cycle":[524,159,159],"intervals":[{"from_index":542,"to_index":1282,"sum":278654,"residue":524},{"from_index":1282,"to_index":2022,"sum":266609,"residue":159},{"from_index":2022,"to_index":542,"sum":262229,"residue":159}],"minimal_cycle":[524,159,159],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[542,1282],"circle_positions":730,"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":[543,1283,2023],"clock_positions":[543,1283,2023],"native_values":[92,457,457],"rotation_degrees":88.05405405405405,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[92,457,457],"beta":{"interval_sums":[279133,266358,262343],"interval_residues":[273,638,273],"display_cycle":[273,638,273],"intervals":[{"from_index":543,"to_index":1283,"sum":279133,"residue":273},{"from_index":1283,"to_index":2023,"sum":266358,"residue":638},{"from_index":2023,"to_index":543,"sum":262343,"residue":273}],"minimal_cycle":[273,638,273],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":273,"start_interval_clock_positions":[543,1283],"circle_positions":730,"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":[544,1284,2024],"clock_positions":[544,1284,2024],"native_values":[663,298,663],"rotation_degrees":88.21621621621621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[663,298,663],"beta":{"interval_sums":[278927,266517,261772],"interval_residues":[67,67,432],"display_cycle":[67,67,432],"intervals":[{"from_index":544,"to_index":1284,"sum":278927,"residue":67},{"from_index":1284,"to_index":2024,"sum":266517,"residue":67},{"from_index":2024,"to_index":544,"sum":261772,"residue":432}],"minimal_cycle":[67,67,432],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":67,"start_interval_clock_positions":[544,1284],"circle_positions":730,"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":[545,1285,2025],"clock_positions":[545,1285,2025],"native_values":[25,25,390],"rotation_degrees":88.37837837837837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[25,25,390],"beta":{"interval_sums":[279200,267155,262045],"interval_residues":[340,705,705],"display_cycle":[340,705,705],"intervals":[{"from_index":545,"to_index":1285,"sum":279200,"residue":340},{"from_index":1285,"to_index":2025,"sum":267155,"residue":705},{"from_index":2025,"to_index":545,"sum":262045,"residue":705}],"minimal_cycle":[340,705,705],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":340,"start_interval_clock_positions":[545,1285],"circle_positions":730,"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":[546,1286,2026],"clock_positions":[546,1286,2026],"native_values":[688,323,323],"rotation_degrees":88.54054054054055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[688,323,323],"beta":{"interval_sums":[278537,267222,261747],"interval_residues":[407,42,407],"display_cycle":[407,42,407],"intervals":[{"from_index":546,"to_index":1286,"sum":278537,"residue":407},{"from_index":1286,"to_index":2026,"sum":267222,"residue":42},{"from_index":2026,"to_index":546,"sum":261747,"residue":407}],"minimal_cycle":[407,42,407],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":407,"start_interval_clock_positions":[546,1286],"circle_positions":730,"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":[547,1287,2027],"clock_positions":[547,1287,2027],"native_values":[713,348,713],"rotation_degrees":88.70270270270271,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[713,348,713],"beta":{"interval_sums":[278147,267197,261722],"interval_residues":[17,17,382],"display_cycle":[17,17,382],"intervals":[{"from_index":547,"to_index":1287,"sum":278147,"residue":17},{"from_index":1287,"to_index":2027,"sum":267197,"residue":17},{"from_index":2027,"to_index":547,"sum":261722,"residue":382}],"minimal_cycle":[17,17,382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":17,"start_interval_clock_positions":[547,1287],"circle_positions":730,"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":[548,1288,2028],"clock_positions":[548,1288,2028],"native_values":[671,671,306],"rotation_degrees":88.86486486486487,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,671,306],"beta":{"interval_sums":[277824,267239,262129],"interval_residues":[424,59,59],"display_cycle":[424,59,59],"intervals":[{"from_index":548,"to_index":1288,"sum":277824,"residue":424},{"from_index":1288,"to_index":2028,"sum":267239,"residue":59},{"from_index":2028,"to_index":548,"sum":262129,"residue":59}],"minimal_cycle":[424,59,59],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[548,1288],"circle_positions":730,"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":[549,1289,2029],"clock_positions":[549,1289,2029],"native_values":[654,289,289],"rotation_degrees":89.02702702702703,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[654,289,289],"beta":{"interval_sums":[277841,267256,262511],"interval_residues":[441,76,441],"display_cycle":[441,76,441],"intervals":[{"from_index":549,"to_index":1289,"sum":277841,"residue":441},{"from_index":1289,"to_index":2029,"sum":267256,"residue":76},{"from_index":2029,"to_index":549,"sum":262511,"residue":441}],"minimal_cycle":[441,76,441],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":441,"start_interval_clock_positions":[549,1289],"circle_positions":730,"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":[550,1290,2030],"clock_positions":[550,1290,2030],"native_values":[595,230,595],"rotation_degrees":89.1891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[595,230,595],"beta":{"interval_sums":[277535,267315,262570],"interval_residues":[135,135,500],"display_cycle":[135,135,500],"intervals":[{"from_index":550,"to_index":1290,"sum":277535,"residue":135},{"from_index":1290,"to_index":2030,"sum":267315,"residue":135},{"from_index":2030,"to_index":550,"sum":262570,"residue":500}],"minimal_cycle":[135,135,500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":135,"start_interval_clock_positions":[550,1290],"circle_positions":730,"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":[551,1291,2031],"clock_positions":[551,1291,2031],"native_values":[519,519,154],"rotation_degrees":89.35135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[519,519,154],"beta":{"interval_sums":[277246,267391,263011],"interval_residues":[576,211,211],"display_cycle":[576,211,211],"intervals":[{"from_index":551,"to_index":1291,"sum":277246,"residue":576},{"from_index":1291,"to_index":2031,"sum":267391,"residue":211},{"from_index":2031,"to_index":551,"sum":263011,"residue":211}],"minimal_cycle":[576,211,211],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":576,"start_interval_clock_positions":[551,1291],"circle_positions":730,"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":[552,1292,2032],"clock_positions":[552,1292,2032],"native_values":[384,19,19],"rotation_degrees":89.51351351351352,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[384,19,19],"beta":{"interval_sums":[277381,267526,263511],"interval_residues":[711,346,711],"display_cycle":[711,346,711],"intervals":[{"from_index":552,"to_index":1292,"sum":277381,"residue":711},{"from_index":1292,"to_index":2032,"sum":267526,"residue":346},{"from_index":2032,"to_index":552,"sum":263511,"residue":711}],"minimal_cycle":[711,346,711],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":711,"start_interval_clock_positions":[552,1292],"circle_positions":730,"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":[553,1293,2033],"clock_positions":[553,1293,2033],"native_values":[173,538,173],"rotation_degrees":89.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,538,173],"beta":{"interval_sums":[277227,267007,263722],"interval_residues":[557,557,192],"display_cycle":[557,557,192],"intervals":[{"from_index":553,"to_index":1293,"sum":277227,"residue":557},{"from_index":1293,"to_index":2033,"sum":267007,"residue":557},{"from_index":2033,"to_index":553,"sum":263722,"residue":192}],"minimal_cycle":[557,557,192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":557,"start_interval_clock_positions":[553,1293],"circle_positions":730,"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":[554,1294,2034],"clock_positions":[554,1294,2034],"native_values":[557,557,192],"rotation_degrees":89.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,557,192],"beta":{"interval_sums":[277208,266623,263703],"interval_residues":[538,173,173],"display_cycle":[538,173,173],"intervals":[{"from_index":554,"to_index":1294,"sum":277208,"residue":538},{"from_index":1294,"to_index":2034,"sum":266623,"residue":173},{"from_index":2034,"to_index":554,"sum":263703,"residue":173}],"minimal_cycle":[538,173,173],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":538,"start_interval_clock_positions":[554,1294],"circle_positions":730,"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":[555,1295,2035],"clock_positions":[555,1295,2035],"native_values":[730,365,365],"rotation_degrees":90.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[730,365,365],"beta":{"interval_sums":[277765,266450,263895],"interval_residues":[365,0,365],"display_cycle":[365,730,365],"intervals":[{"from_index":555,"to_index":1295,"sum":277765,"residue":365},{"from_index":1295,"to_index":2035,"sum":266450,"residue":0},{"from_index":2035,"to_index":555,"sum":263895,"residue":365}],"minimal_cycle":[365,0,365],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":365,"start_interval_clock_positions":[555,1295],"circle_positions":730,"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":[556,1296,2036],"clock_positions":[556,1296,2036],"native_values":[557,192,557],"rotation_degrees":90.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,192,557],"beta":{"interval_sums":[277573,266623,263338],"interval_residues":[173,173,538],"display_cycle":[173,173,538],"intervals":[{"from_index":556,"to_index":1296,"sum":277573,"residue":173},{"from_index":1296,"to_index":2036,"sum":266623,"residue":173},{"from_index":2036,"to_index":556,"sum":263338,"residue":538}],"minimal_cycle":[173,173,538],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":173,"start_interval_clock_positions":[556,1296],"circle_positions":730,"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":[557,1297,2037],"clock_positions":[557,1297,2037],"native_values":[557,557,192],"rotation_degrees":90.32432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,557,192],"beta":{"interval_sums":[277208,266623,263703],"interval_residues":[538,173,173],"display_cycle":[538,173,173],"intervals":[{"from_index":557,"to_index":1297,"sum":277208,"residue":538},{"from_index":1297,"to_index":2037,"sum":266623,"residue":173},{"from_index":2037,"to_index":557,"sum":263703,"residue":173}],"minimal_cycle":[538,173,173],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":538,"start_interval_clock_positions":[557,1297],"circle_positions":730,"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":[558,1298,2038],"clock_positions":[558,1298,2038],"native_values":[384,19,19],"rotation_degrees":90.48648648648648,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[384,19,19],"beta":{"interval_sums":[277381,266796,264241],"interval_residues":[711,346,711],"display_cycle":[711,346,711],"intervals":[{"from_index":558,"to_index":1298,"sum":277381,"residue":711},{"from_index":1298,"to_index":2038,"sum":266796,"residue":346},{"from_index":2038,"to_index":558,"sum":264241,"residue":711}],"minimal_cycle":[711,346,711],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":711,"start_interval_clock_positions":[558,1298],"circle_positions":730,"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":[559,1299,2039],"clock_positions":[559,1299,2039],"native_values":[211,576,211],"rotation_degrees":90.64864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,576,211],"beta":{"interval_sums":[277189,266239,264414],"interval_residues":[519,519,154],"display_cycle":[519,519,154],"intervals":[{"from_index":559,"to_index":1299,"sum":277189,"residue":519},{"from_index":1299,"to_index":2039,"sum":266239,"residue":519},{"from_index":2039,"to_index":559,"sum":264414,"residue":154}],"minimal_cycle":[519,519,154],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":519,"start_interval_clock_positions":[559,1299],"circle_positions":730,"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":[560,1300,2040],"clock_positions":[560,1300,2040],"native_values":[595,595,230],"rotation_degrees":90.8108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[595,595,230],"beta":{"interval_sums":[277170,265855,264395],"interval_residues":[500,135,135],"display_cycle":[500,135,135],"intervals":[{"from_index":560,"to_index":1300,"sum":277170,"residue":500},{"from_index":1300,"to_index":2040,"sum":265855,"residue":135},{"from_index":2040,"to_index":560,"sum":264395,"residue":135}],"minimal_cycle":[500,135,135],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[560,1300],"circle_positions":730,"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":[561,1301,2041],"clock_positions":[561,1301,2041],"native_values":[76,441,441],"rotation_degrees":90.97297297297297,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[76,441,441],"beta":{"interval_sums":[277689,265644,264549],"interval_residues":[289,654,289],"display_cycle":[289,654,289],"intervals":[{"from_index":561,"to_index":1301,"sum":277689,"residue":289},{"from_index":1301,"to_index":2041,"sum":265644,"residue":654},{"from_index":2041,"to_index":561,"sum":264549,"residue":289}],"minimal_cycle":[289,654,289],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":289,"start_interval_clock_positions":[561,1301],"circle_positions":730,"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":[562,1302,2042],"clock_positions":[562,1302,2042],"native_values":[671,306,671],"rotation_degrees":91.13513513513513,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,306,671],"beta":{"interval_sums":[277459,265779,263954],"interval_residues":[59,59,424],"display_cycle":[59,59,424],"intervals":[{"from_index":562,"to_index":1302,"sum":277459,"residue":59},{"from_index":1302,"to_index":2042,"sum":265779,"residue":59},{"from_index":2042,"to_index":562,"sum":263954,"residue":424}],"minimal_cycle":[59,59,424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":59,"start_interval_clock_positions":[562,1302],"circle_positions":730,"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":[563,1303,2043],"clock_positions":[563,1303,2043],"native_values":[17,17,382],"rotation_degrees":91.29729729729729,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,17,382],"beta":{"interval_sums":[277748,266433,264243],"interval_residues":[348,713,713],"display_cycle":[348,713,713],"intervals":[{"from_index":563,"to_index":1303,"sum":277748,"residue":348},{"from_index":1303,"to_index":2043,"sum":266433,"residue":713},{"from_index":2043,"to_index":563,"sum":264243,"residue":713}],"minimal_cycle":[348,713,713],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[563,1303],"circle_positions":730,"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":[564,1304,2044],"clock_positions":[564,1304,2044],"native_values":[688,323,323],"rotation_degrees":91.45945945945945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[688,323,323],"beta":{"interval_sums":[277077,266492,263937],"interval_residues":[407,42,407],"display_cycle":[407,42,407],"intervals":[{"from_index":564,"to_index":1304,"sum":277077,"residue":407},{"from_index":1304,"to_index":2044,"sum":266492,"residue":42},{"from_index":2044,"to_index":564,"sum":263937,"residue":407}],"minimal_cycle":[407,42,407],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":407,"start_interval_clock_positions":[564,1304],"circle_positions":730,"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":[565,1305,2045],"clock_positions":[565,1305,2045],"native_values":[705,340,705],"rotation_degrees":91.62162162162163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,340,705],"beta":{"interval_sums":[276695,266475,263920],"interval_residues":[25,25,390],"display_cycle":[25,25,390],"intervals":[{"from_index":565,"to_index":1305,"sum":276695,"residue":25},{"from_index":1305,"to_index":2045,"sum":266475,"residue":25},{"from_index":2045,"to_index":565,"sum":263920,"residue":390}],"minimal_cycle":[25,25,390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":25,"start_interval_clock_positions":[565,1305],"circle_positions":730,"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":[566,1306,2046],"clock_positions":[566,1306,2046],"native_values":[663,663,298],"rotation_degrees":91.78378378378379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[663,663,298],"beta":{"interval_sums":[276372,266517,264327],"interval_residues":[432,67,67],"display_cycle":[432,67,67],"intervals":[{"from_index":566,"to_index":1306,"sum":276372,"residue":432},{"from_index":1306,"to_index":2046,"sum":266517,"residue":67},{"from_index":2046,"to_index":566,"sum":264327,"residue":67}],"minimal_cycle":[432,67,67],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":432,"start_interval_clock_positions":[566,1306],"circle_positions":730,"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":[567,1307,2047],"clock_positions":[567,1307,2047],"native_values":[638,273,273],"rotation_degrees":91.94594594594595,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[638,273,273],"beta":{"interval_sums":[276397,266542,264717],"interval_residues":[457,92,457],"display_cycle":[457,92,457],"intervals":[{"from_index":567,"to_index":1307,"sum":276397,"residue":457},{"from_index":1307,"to_index":2047,"sum":266542,"residue":92},{"from_index":2047,"to_index":567,"sum":264717,"residue":457}],"minimal_cycle":[457,92,457],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":457,"start_interval_clock_positions":[567,1307],"circle_positions":730,"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":[568,1308,2048],"clock_positions":[568,1308,2048],"native_values":[571,206,571],"rotation_degrees":92.10810810810811,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[571,206,571],"beta":{"interval_sums":[276099,266609,264784],"interval_residues":[159,159,524],"display_cycle":[159,159,524],"intervals":[{"from_index":568,"to_index":1308,"sum":276099,"residue":159},{"from_index":1308,"to_index":2048,"sum":266609,"residue":159},{"from_index":2048,"to_index":568,"sum":264784,"residue":524}],"minimal_cycle":[159,159,524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":159,"start_interval_clock_positions":[568,1308],"circle_positions":730,"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":[569,1309,2049],"clock_positions":[569,1309,2049],"native_values":[479,479,114],"rotation_degrees":92.27027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[479,479,114],"beta":{"interval_sums":[275826,266701,265241],"interval_residues":[616,251,251],"display_cycle":[616,251,251],"intervals":[{"from_index":569,"to_index":1309,"sum":275826,"residue":616},{"from_index":1309,"to_index":2049,"sum":266701,"residue":251},{"from_index":2049,"to_index":569,"sum":265241,"residue":251}],"minimal_cycle":[616,251,251],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":616,"start_interval_clock_positions":[569,1309],"circle_positions":730,"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":[570,1310,2050],"clock_positions":[570,1310,2050],"native_values":[320,685,685],"rotation_degrees":92.43243243243244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[320,685,685],"beta":{"interval_sums":[275985,266130,265035],"interval_residues":[45,410,45],"display_cycle":[45,410,45],"intervals":[{"from_index":570,"to_index":1310,"sum":275985,"residue":45},{"from_index":1310,"to_index":2050,"sum":266130,"residue":410},{"from_index":2050,"to_index":570,"sum":265035,"residue":45}],"minimal_cycle":[45,410,45],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":45,"start_interval_clock_positions":[570,1310],"circle_positions":730,"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":[571,1311,2051],"clock_positions":[571,1311,2051],"native_values":[69,434,69],"rotation_degrees":92.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[69,434,69],"beta":{"interval_sums":[276601,266381,265286],"interval_residues":[661,661,296],"display_cycle":[661,661,296],"intervals":[{"from_index":571,"to_index":1311,"sum":276601,"residue":661},{"from_index":1311,"to_index":2051,"sum":266381,"residue":661},{"from_index":2051,"to_index":571,"sum":265286,"residue":296}],"minimal_cycle":[661,661,296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":661,"start_interval_clock_positions":[571,1311],"circle_positions":730,"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":[572,1312,2052],"clock_positions":[572,1312,2052],"native_values":[389,389,24],"rotation_degrees":92.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[389,389,24],"beta":{"interval_sums":[276646,266061,265331],"interval_residues":[706,341,341],"display_cycle":[706,341,341],"intervals":[{"from_index":572,"to_index":1312,"sum":276646,"residue":706},{"from_index":1312,"to_index":2052,"sum":266061,"residue":341},{"from_index":2052,"to_index":572,"sum":265331,"residue":341}],"minimal_cycle":[706,341,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":706,"start_interval_clock_positions":[572,1312],"circle_positions":730,"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":[573,1313,2053],"clock_positions":[573,1313,2053],"native_values":[458,93,93],"rotation_degrees":92.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[458,93,93],"beta":{"interval_sums":[276577,265992,265627],"interval_residues":[637,272,637],"display_cycle":[637,272,637],"intervals":[{"from_index":573,"to_index":1313,"sum":276577,"residue":637},{"from_index":1313,"to_index":2053,"sum":265992,"residue":272},{"from_index":2053,"to_index":573,"sum":265627,"residue":637}],"minimal_cycle":[637,272,637],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":637,"start_interval_clock_positions":[573,1313],"circle_positions":730,"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":[574,1314,2054],"clock_positions":[574,1314,2054],"native_values":[117,482,117],"rotation_degrees":93.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,482,117],"beta":{"interval_sums":[276553,265603,265968],"interval_residues":[613,613,248],"display_cycle":[613,613,248],"intervals":[{"from_index":574,"to_index":1314,"sum":276553,"residue":613},{"from_index":1314,"to_index":2054,"sum":265603,"residue":613},{"from_index":2054,"to_index":574,"sum":265968,"residue":248}],"minimal_cycle":[613,613,248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":613,"start_interval_clock_positions":[574,1314],"circle_positions":730,"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":[575,1315,2055],"clock_positions":[575,1315,2055],"native_values":[575,575,210],"rotation_degrees":93.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[575,575,210],"beta":{"interval_sums":[276460,265145,265875],"interval_residues":[520,155,155],"display_cycle":[520,155,155],"intervals":[{"from_index":575,"to_index":1315,"sum":276460,"residue":520},{"from_index":1315,"to_index":2055,"sum":265145,"residue":155},{"from_index":2055,"to_index":575,"sum":265875,"residue":155}],"minimal_cycle":[520,155,155],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":520,"start_interval_clock_positions":[575,1315],"circle_positions":730,"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":[576,1316,2056],"clock_positions":[576,1316,2056],"native_values":[692,327,327],"rotation_degrees":93.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[692,327,327],"beta":{"interval_sums":[276343,265028,266123],"interval_residues":[403,38,403],"display_cycle":[403,38,403],"intervals":[{"from_index":576,"to_index":1316,"sum":276343,"residue":403},{"from_index":1316,"to_index":2056,"sum":265028,"residue":38},{"from_index":2056,"to_index":576,"sum":266123,"residue":403}],"minimal_cycle":[403,38,403],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":403,"start_interval_clock_positions":[576,1316],"circle_positions":730,"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":[577,1317,2057],"clock_positions":[577,1317,2057],"native_values":[537,172,537],"rotation_degrees":93.56756756756756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[537,172,537],"beta":{"interval_sums":[276133,265183,266278],"interval_residues":[193,193,558],"display_cycle":[193,193,558],"intervals":[{"from_index":577,"to_index":1317,"sum":276133,"residue":193},{"from_index":1317,"to_index":2057,"sum":265183,"residue":193},{"from_index":2057,"to_index":577,"sum":266278,"residue":558}],"minimal_cycle":[193,193,558],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":193,"start_interval_clock_positions":[577,1317],"circle_positions":730,"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":[578,1318,2058],"clock_positions":[578,1318,2058],"native_values":[499,499,134],"rotation_degrees":93.72972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[499,499,134],"beta":{"interval_sums":[275806,265221,266681],"interval_residues":[596,231,231],"display_cycle":[596,231,231],"intervals":[{"from_index":578,"to_index":1318,"sum":275806,"residue":596},{"from_index":1318,"to_index":2058,"sum":265221,"residue":231},{"from_index":2058,"to_index":578,"sum":266681,"residue":231}],"minimal_cycle":[596,231,231],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":596,"start_interval_clock_positions":[578,1318],"circle_positions":730,"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":[579,1319,2059],"clock_positions":[579,1319,2059],"native_values":[306,671,671],"rotation_degrees":93.89189189189189,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[306,671,671],"beta":{"interval_sums":[275999,264684,266509],"interval_residues":[59,424,59],"display_cycle":[59,424,59],"intervals":[{"from_index":579,"to_index":1319,"sum":275999,"residue":59},{"from_index":1319,"to_index":2059,"sum":264684,"residue":424},{"from_index":2059,"to_index":579,"sum":266509,"residue":59}],"minimal_cycle":[59,424,59],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":59,"start_interval_clock_positions":[579,1319],"circle_positions":730,"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":[580,1320,2060],"clock_positions":[580,1320,2060],"native_values":[75,440,75],"rotation_degrees":94.05405405405405,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,440,75],"beta":{"interval_sums":[276595,264915,266740],"interval_residues":[655,655,290],"display_cycle":[655,655,290],"intervals":[{"from_index":580,"to_index":1320,"sum":276595,"residue":655},{"from_index":1320,"to_index":2060,"sum":264915,"residue":655},{"from_index":2060,"to_index":580,"sum":266740,"residue":290}],"minimal_cycle":[655,655,290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":655,"start_interval_clock_positions":[580,1320],"circle_positions":730,"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":[581,1321,2061],"clock_positions":[581,1321,2061],"native_values":[381,381,16],"rotation_degrees":94.21621621621621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,381,16],"beta":{"interval_sums":[276654,264609,266799],"interval_residues":[714,349,349],"display_cycle":[714,349,349],"intervals":[{"from_index":581,"to_index":1321,"sum":276654,"residue":714},{"from_index":1321,"to_index":2061,"sum":264609,"residue":349},{"from_index":2061,"to_index":581,"sum":266799,"residue":349}],"minimal_cycle":[714,349,349],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":714,"start_interval_clock_positions":[581,1321],"circle_positions":730,"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":[582,1322,2062],"clock_positions":[582,1322,2062],"native_values":[456,91,91],"rotation_degrees":94.37837837837837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[456,91,91],"beta":{"interval_sums":[276579,264534,267089],"interval_residues":[639,274,639],"display_cycle":[639,274,639],"intervals":[{"from_index":582,"to_index":1322,"sum":276579,"residue":639},{"from_index":1322,"to_index":2062,"sum":264534,"residue":274},{"from_index":2062,"to_index":582,"sum":267089,"residue":639}],"minimal_cycle":[639,274,639],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":639,"start_interval_clock_positions":[582,1322],"circle_positions":730,"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":[583,1323,2063],"clock_positions":[583,1323,2063],"native_values":[107,472,107],"rotation_degrees":94.54054054054055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[107,472,107],"beta":{"interval_sums":[276563,264153,267438],"interval_residues":[623,623,258],"display_cycle":[623,623,258],"intervals":[{"from_index":583,"to_index":1323,"sum":276563,"residue":623},{"from_index":1323,"to_index":2063,"sum":264153,"residue":623},{"from_index":2063,"to_index":583,"sum":267438,"residue":258}],"minimal_cycle":[623,623,258],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":623,"start_interval_clock_positions":[583,1323],"circle_positions":730,"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":[584,1324,2064],"clock_positions":[584,1324,2064],"native_values":[563,563,198],"rotation_degrees":94.70270270270271,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[563,563,198],"beta":{"interval_sums":[276472,263697,267347],"interval_residues":[532,167,167],"display_cycle":[532,167,167],"intervals":[{"from_index":584,"to_index":1324,"sum":276472,"residue":532},{"from_index":1324,"to_index":2064,"sum":263697,"residue":167},{"from_index":2064,"to_index":584,"sum":267347,"residue":167}],"minimal_cycle":[532,167,167],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":532,"start_interval_clock_positions":[584,1324],"circle_positions":730,"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":[585,1325,2065],"clock_positions":[585,1325,2065],"native_values":[670,305,305],"rotation_degrees":94.86486486486487,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[670,305,305],"beta":{"interval_sums":[276365,263590,267605],"interval_residues":[425,60,425],"display_cycle":[425,60,425],"intervals":[{"from_index":585,"to_index":1325,"sum":276365,"residue":425},{"from_index":1325,"to_index":2065,"sum":263590,"residue":60},{"from_index":2065,"to_index":585,"sum":267605,"residue":425}],"minimal_cycle":[425,60,425],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":425,"start_interval_clock_positions":[585,1325],"circle_positions":730,"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":[586,1326,2066],"clock_positions":[586,1326,2066],"native_values":[503,138,503],"rotation_degrees":95.02702702702703,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[503,138,503],"beta":{"interval_sums":[276167,263757,267772],"interval_residues":[227,227,592],"display_cycle":[227,227,592],"intervals":[{"from_index":586,"to_index":1326,"sum":276167,"residue":227},{"from_index":1326,"to_index":2066,"sum":263757,"residue":227},{"from_index":2066,"to_index":586,"sum":267772,"residue":592}],"minimal_cycle":[227,227,592],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":227,"start_interval_clock_positions":[586,1326],"circle_positions":730,"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":[587,1327,2067],"clock_positions":[587,1327,2067],"native_values":[443,443,78],"rotation_degrees":95.1891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,443,78],"beta":{"interval_sums":[275862,263817,268197],"interval_residues":[652,287,287],"display_cycle":[652,287,287],"intervals":[{"from_index":587,"to_index":1327,"sum":275862,"residue":652},{"from_index":1327,"to_index":2067,"sum":263817,"residue":287},{"from_index":2067,"to_index":587,"sum":268197,"residue":287}],"minimal_cycle":[652,287,287],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[587,1327],"circle_positions":730,"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":[588,1328,2068],"clock_positions":[588,1328,2068],"native_values":[216,581,581],"rotation_degrees":95.35135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[216,581,581],"beta":{"interval_sums":[276089,263314,268059],"interval_residues":[149,514,149],"display_cycle":[149,514,149],"intervals":[{"from_index":588,"to_index":1328,"sum":276089,"residue":149},{"from_index":1328,"to_index":2068,"sum":263314,"residue":514},{"from_index":2068,"to_index":588,"sum":268059,"residue":149}],"minimal_cycle":[149,514,149],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":149,"start_interval_clock_positions":[588,1328],"circle_positions":730,"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":[589,1329,2069],"clock_positions":[589,1329,2069],"native_values":[659,294,659],"rotation_degrees":95.51351351351352,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[659,294,659],"beta":{"interval_sums":[276011,263601,267616],"interval_residues":[71,71,436],"display_cycle":[71,71,436],"intervals":[{"from_index":589,"to_index":1329,"sum":276011,"residue":71},{"from_index":1329,"to_index":2069,"sum":263601,"residue":71},{"from_index":2069,"to_index":589,"sum":267616,"residue":436}],"minimal_cycle":[71,71,436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":71,"start_interval_clock_positions":[589,1329],"circle_positions":730,"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":[590,1330,2070],"clock_positions":[590,1330,2070],"native_values":[145,145,510],"rotation_degrees":95.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[145,145,510],"beta":{"interval_sums":[276160,264115,267765],"interval_residues":[220,585,585],"display_cycle":[220,585,585],"intervals":[{"from_index":590,"to_index":1330,"sum":276160,"residue":220},{"from_index":1330,"to_index":2070,"sum":264115,"residue":585},{"from_index":2070,"to_index":590,"sum":267765,"residue":585}],"minimal_cycle":[220,585,585],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[590,1330],"circle_positions":730,"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":[591,1331,2071],"clock_positions":[591,1331,2071],"native_values":[74,439,439],"rotation_degrees":95.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[74,439,439],"beta":{"interval_sums":[276231,264186,267471],"interval_residues":[291,656,291],"display_cycle":[291,656,291],"intervals":[{"from_index":591,"to_index":1331,"sum":276231,"residue":291},{"from_index":1331,"to_index":2071,"sum":264186,"residue":656},{"from_index":2071,"to_index":591,"sum":267471,"residue":291}],"minimal_cycle":[291,656,291],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":291,"start_interval_clock_positions":[591,1331],"circle_positions":730,"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":[592,1332,2072],"clock_positions":[592,1332,2072],"native_values":[219,584,219],"rotation_degrees":96.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,584,219],"beta":{"interval_sums":[276451,264041,267326],"interval_residues":[511,511,146],"display_cycle":[511,511,146],"intervals":[{"from_index":592,"to_index":1332,"sum":276451,"residue":511},{"from_index":1332,"to_index":2072,"sum":264041,"residue":511},{"from_index":2072,"to_index":592,"sum":267326,"residue":146}],"minimal_cycle":[511,511,146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":511,"start_interval_clock_positions":[592,1332],"circle_positions":730,"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":[593,1333,2073],"clock_positions":[593,1333,2073],"native_values":[293,293,658],"rotation_degrees":96.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[293,293,658],"beta":{"interval_sums":[276742,263967,266887],"interval_residues":[72,437,437],"display_cycle":[72,437,437],"intervals":[{"from_index":593,"to_index":1333,"sum":276742,"residue":72},{"from_index":1333,"to_index":2073,"sum":263967,"residue":437},{"from_index":2073,"to_index":593,"sum":266887,"residue":437}],"minimal_cycle":[72,437,437],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[593,1333],"circle_positions":730,"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":[594,1334,2074],"clock_positions":[594,1334,2074],"native_values":[512,147,147],"rotation_degrees":96.32432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[512,147,147],"beta":{"interval_sums":[276523,264478,267033],"interval_residues":[583,218,583],"display_cycle":[583,218,583],"intervals":[{"from_index":594,"to_index":1334,"sum":276523,"residue":583},{"from_index":1334,"to_index":2074,"sum":264478,"residue":218},{"from_index":2074,"to_index":594,"sum":267033,"residue":583}],"minimal_cycle":[583,218,583],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":583,"start_interval_clock_positions":[594,1334],"circle_positions":730,"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":[595,1335,2075],"clock_positions":[595,1335,2075],"native_values":[75,440,75],"rotation_degrees":96.48648648648648,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,440,75],"beta":{"interval_sums":[276595,264185,267470],"interval_residues":[655,655,290],"display_cycle":[655,655,290],"intervals":[{"from_index":595,"to_index":1335,"sum":276595,"residue":655},{"from_index":1335,"to_index":2075,"sum":264185,"residue":655},{"from_index":2075,"to_index":595,"sum":267470,"residue":290}],"minimal_cycle":[655,655,290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":655,"start_interval_clock_positions":[595,1335],"circle_positions":730,"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":[596,1336,2076],"clock_positions":[596,1336,2076],"native_values":[587,587,222],"rotation_degrees":96.64864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,587,222],"beta":{"interval_sums":[276448,263673,267323],"interval_residues":[508,143,143],"display_cycle":[508,143,143],"intervals":[{"from_index":596,"to_index":1336,"sum":276448,"residue":508},{"from_index":1336,"to_index":2076,"sum":263673,"residue":143},{"from_index":2076,"to_index":596,"sum":267323,"residue":143}],"minimal_cycle":[508,143,143],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":508,"start_interval_clock_positions":[596,1336],"circle_positions":730,"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":[597,1337,2077],"clock_positions":[597,1337,2077],"native_values":[662,297,297],"rotation_degrees":96.8108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[662,297,297],"beta":{"interval_sums":[276373,263598,267613],"interval_residues":[433,68,433],"display_cycle":[433,68,433],"intervals":[{"from_index":597,"to_index":1337,"sum":276373,"residue":433},{"from_index":1337,"to_index":2077,"sum":263598,"residue":68},{"from_index":2077,"to_index":597,"sum":267613,"residue":433}],"minimal_cycle":[433,68,433],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":433,"start_interval_clock_positions":[597,1337],"circle_positions":730,"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":[598,1338,2078],"clock_positions":[598,1338,2078],"native_values":[519,154,519],"rotation_degrees":96.97297297297297,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[519,154,519],"beta":{"interval_sums":[276151,263741,267756],"interval_residues":[211,211,576],"display_cycle":[211,211,576],"intervals":[{"from_index":598,"to_index":1338,"sum":276151,"residue":211},{"from_index":1338,"to_index":2078,"sum":263741,"residue":211},{"from_index":2078,"to_index":598,"sum":267756,"residue":576}],"minimal_cycle":[211,211,576],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":211,"start_interval_clock_positions":[598,1338],"circle_positions":730,"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":[599,1339,2079],"clock_positions":[599,1339,2079],"native_values":[451,451,86],"rotation_degrees":97.13513513513513,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,451,86],"beta":{"interval_sums":[275854,263809,268189],"interval_residues":[644,279,279],"display_cycle":[644,279,279],"intervals":[{"from_index":599,"to_index":1339,"sum":275854,"residue":644},{"from_index":1339,"to_index":2079,"sum":263809,"residue":279},{"from_index":2079,"to_index":599,"sum":268189,"residue":279}],"minimal_cycle":[644,279,279],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[599,1339],"circle_positions":730,"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":[600,1340,2080],"clock_positions":[600,1340,2080],"native_values":[240,605,605],"rotation_degrees":97.29729729729729,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[240,605,605],"beta":{"interval_sums":[276065,263290,268035],"interval_residues":[125,490,125],"display_cycle":[125,490,125],"intervals":[{"from_index":600,"to_index":1340,"sum":276065,"residue":125},{"from_index":1340,"to_index":2080,"sum":263290,"residue":490},{"from_index":2080,"to_index":600,"sum":268035,"residue":125}],"minimal_cycle":[125,490,125],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":125,"start_interval_clock_positions":[600,1340],"circle_positions":730,"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":[601,1341,2081],"clock_positions":[601,1341,2081],"native_values":[691,326,691],"rotation_degrees":97.45945945945945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,326,691],"beta":{"interval_sums":[275979,263569,267584],"interval_residues":[39,39,404],"display_cycle":[39,39,404],"intervals":[{"from_index":601,"to_index":1341,"sum":275979,"residue":39},{"from_index":1341,"to_index":2081,"sum":263569,"residue":39},{"from_index":2081,"to_index":601,"sum":267584,"residue":404}],"minimal_cycle":[39,39,404],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":39,"start_interval_clock_positions":[601,1341],"circle_positions":730,"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":[602,1342,2082],"clock_positions":[602,1342,2082],"native_values":[201,201,566],"rotation_degrees":97.62162162162163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[201,201,566],"beta":{"interval_sums":[276104,264059,267709],"interval_residues":[164,529,529],"display_cycle":[164,529,529],"intervals":[{"from_index":602,"to_index":1342,"sum":276104,"residue":164},{"from_index":1342,"to_index":2082,"sum":264059,"residue":529},{"from_index":2082,"to_index":602,"sum":267709,"residue":529}],"minimal_cycle":[164,529,529],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[602,1342],"circle_positions":730,"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":[603,1343,2083],"clock_positions":[603,1343,2083],"native_values":[162,527,527],"rotation_degrees":97.78378378378379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[162,527,527],"beta":{"interval_sums":[276143,264098,267383],"interval_residues":[203,568,203],"display_cycle":[203,568,203],"intervals":[{"from_index":603,"to_index":1343,"sum":276143,"residue":203},{"from_index":1343,"to_index":2083,"sum":264098,"residue":568},{"from_index":2083,"to_index":603,"sum":267383,"residue":203}],"minimal_cycle":[203,568,203],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":203,"start_interval_clock_positions":[603,1343],"circle_positions":730,"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":[604,1344,2084],"clock_positions":[604,1344,2084],"native_values":[363,728,363],"rotation_degrees":97.94594594594595,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[363,728,363],"beta":{"interval_sums":[276307,263897,267182],"interval_residues":[367,367,2],"display_cycle":[367,367,2],"intervals":[{"from_index":604,"to_index":1344,"sum":276307,"residue":367},{"from_index":1344,"to_index":2084,"sum":263897,"residue":367},{"from_index":2084,"to_index":604,"sum":267182,"residue":2}],"minimal_cycle":[367,367,2],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":367,"start_interval_clock_positions":[604,1344],"circle_positions":730,"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":[605,1345,2085],"clock_positions":[605,1345,2085],"native_values":[525,525,160],"rotation_degrees":98.10810810810811,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[525,525,160],"beta":{"interval_sums":[276510,263735,267385],"interval_residues":[570,205,205],"display_cycle":[570,205,205],"intervals":[{"from_index":605,"to_index":1345,"sum":276510,"residue":570},{"from_index":1345,"to_index":2085,"sum":263735,"residue":205},{"from_index":2085,"to_index":605,"sum":267385,"residue":205}],"minimal_cycle":[570,205,205],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[605,1345],"circle_positions":730,"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":[606,1346,2086],"clock_positions":[606,1346,2086],"native_values":[158,523,523],"rotation_degrees":98.27027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[158,523,523],"beta":{"interval_sums":[276877,263372,267387],"interval_residues":[207,572,207],"display_cycle":[207,572,207],"intervals":[{"from_index":606,"to_index":1346,"sum":276877,"residue":207},{"from_index":1346,"to_index":2086,"sum":263372,"residue":572},{"from_index":2086,"to_index":606,"sum":267387,"residue":207}],"minimal_cycle":[207,572,207],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":207,"start_interval_clock_positions":[606,1346],"circle_positions":730,"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":[607,1347,2087],"clock_positions":[607,1347,2087],"native_values":[683,318,683],"rotation_degrees":98.43243243243244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[683,318,683],"beta":{"interval_sums":[276717,263577,266862],"interval_residues":[47,47,412],"display_cycle":[47,47,412],"intervals":[{"from_index":607,"to_index":1347,"sum":276717,"residue":47},{"from_index":1347,"to_index":2087,"sum":263577,"residue":47},{"from_index":2087,"to_index":607,"sum":266862,"residue":412}],"minimal_cycle":[47,47,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":47,"start_interval_clock_positions":[607,1347],"circle_positions":730,"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":[608,1348,2088],"clock_positions":[608,1348,2088],"native_values":[111,111,476],"rotation_degrees":98.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[111,111,476],"beta":{"interval_sums":[276924,264149,267069],"interval_residues":[254,619,619],"display_cycle":[254,619,619],"intervals":[{"from_index":608,"to_index":1348,"sum":276924,"residue":254},{"from_index":1348,"to_index":2088,"sum":264149,"residue":619},{"from_index":2088,"to_index":608,"sum":267069,"residue":619}],"minimal_cycle":[254,619,619],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":254,"start_interval_clock_positions":[608,1348],"circle_positions":730,"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":[609,1349,2089],"clock_positions":[609,1349,2089],"native_values":[64,429,429],"rotation_degrees":98.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[64,429,429],"beta":{"interval_sums":[276971,264196,266751],"interval_residues":[301,666,301],"display_cycle":[301,666,301],"intervals":[{"from_index":609,"to_index":1349,"sum":276971,"residue":301},{"from_index":1349,"to_index":2089,"sum":264196,"residue":666},{"from_index":2089,"to_index":609,"sum":266751,"residue":301}],"minimal_cycle":[301,666,301],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":301,"start_interval_clock_positions":[609,1349],"circle_positions":730,"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":[610,1350,2090],"clock_positions":[610,1350,2090],"native_values":[175,540,175],"rotation_degrees":98.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[175,540,175],"beta":{"interval_sums":[277225,264085,266640],"interval_residues":[555,555,190],"display_cycle":[555,555,190],"intervals":[{"from_index":610,"to_index":1350,"sum":277225,"residue":555},{"from_index":1350,"to_index":2090,"sum":264085,"residue":555},{"from_index":2090,"to_index":610,"sum":266640,"residue":190}],"minimal_cycle":[555,555,190],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":555,"start_interval_clock_positions":[610,1350],"circle_positions":730,"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":[611,1351,2091],"clock_positions":[611,1351,2091],"native_values":[239,239,604],"rotation_degrees":99.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,239,604],"beta":{"interval_sums":[277526,264021,266211],"interval_residues":[126,491,491],"display_cycle":[126,491,491],"intervals":[{"from_index":611,"to_index":1351,"sum":277526,"residue":126},{"from_index":1351,"to_index":2091,"sum":264021,"residue":491},{"from_index":2091,"to_index":611,"sum":266211,"residue":491}],"minimal_cycle":[126,491,491],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[611,1351],"circle_positions":730,"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":[612,1352,2092],"clock_positions":[612,1352,2092],"native_values":[414,49,49],"rotation_degrees":99.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[414,49,49],"beta":{"interval_sums":[277351,264576,266401],"interval_residues":[681,316,681],"display_cycle":[681,316,681],"intervals":[{"from_index":612,"to_index":1352,"sum":277351,"residue":681},{"from_index":1352,"to_index":2092,"sum":264576,"residue":316},{"from_index":2092,"to_index":612,"sum":266401,"residue":681}],"minimal_cycle":[681,316,681],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":681,"start_interval_clock_positions":[612,1352],"circle_positions":730,"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":[613,1353,2093],"clock_positions":[613,1353,2093],"native_values":[653,288,653],"rotation_degrees":99.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,288,653],"beta":{"interval_sums":[276747,264337,266162],"interval_residues":[77,77,442],"display_cycle":[77,77,442],"intervals":[{"from_index":613,"to_index":1353,"sum":276747,"residue":77},{"from_index":1353,"to_index":2093,"sum":264337,"residue":77},{"from_index":2093,"to_index":613,"sum":266162,"residue":442}],"minimal_cycle":[77,77,442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":77,"start_interval_clock_positions":[613,1353],"circle_positions":730,"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":[614,1354,2094],"clock_positions":[614,1354,2094],"native_values":[337,337,702],"rotation_degrees":99.56756756756756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,337,702],"beta":{"interval_sums":[276698,264653,266113],"interval_residues":[28,393,393],"display_cycle":[28,393,393],"intervals":[{"from_index":614,"to_index":1354,"sum":276698,"residue":28},{"from_index":1354,"to_index":2094,"sum":264653,"residue":393},{"from_index":2094,"to_index":614,"sum":266113,"residue":393}],"minimal_cycle":[28,393,393],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[614,1354],"circle_positions":730,"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":[615,1355,2095],"clock_positions":[615,1355,2095],"native_values":[260,625,625],"rotation_degrees":99.72972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[260,625,625],"beta":{"interval_sums":[276775,264730,265825],"interval_residues":[105,470,105],"display_cycle":[105,470,105],"intervals":[{"from_index":615,"to_index":1355,"sum":276775,"residue":105},{"from_index":1355,"to_index":2095,"sum":264730,"residue":470},{"from_index":2095,"to_index":615,"sum":265825,"residue":105}],"minimal_cycle":[105,470,105],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":105,"start_interval_clock_positions":[615,1355],"circle_positions":730,"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":[616,1356,2096],"clock_positions":[616,1356,2096],"native_values":[597,232,597],"rotation_degrees":99.89189189189189,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,232,597],"beta":{"interval_sums":[276803,265123,265488],"interval_residues":[133,133,498],"display_cycle":[133,133,498],"intervals":[{"from_index":616,"to_index":1356,"sum":276803,"residue":133},{"from_index":1356,"to_index":2096,"sum":265123,"residue":133},{"from_index":2096,"to_index":616,"sum":265488,"residue":498}],"minimal_cycle":[133,133,498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":133,"start_interval_clock_positions":[616,1356],"circle_positions":730,"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":[617,1357,2097],"clock_positions":[617,1357,2097],"native_values":[127,127,492],"rotation_degrees":100.05405405405405,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,127,492],"beta":{"interval_sums":[276908,265593,265593],"interval_residues":[238,603,603],"display_cycle":[238,603,603],"intervals":[{"from_index":617,"to_index":1357,"sum":276908,"residue":238},{"from_index":1357,"to_index":2097,"sum":265593,"residue":603},{"from_index":2097,"to_index":617,"sum":265593,"residue":603}],"minimal_cycle":[238,603,603],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":238,"start_interval_clock_positions":[617,1357],"circle_positions":730,"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":[618,1358,2098],"clock_positions":[618,1358,2098],"native_values":[724,359,359],"rotation_degrees":100.21621621621621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[724,359,359],"beta":{"interval_sums":[276311,265726,265361],"interval_residues":[371,6,371],"display_cycle":[371,6,371],"intervals":[{"from_index":618,"to_index":1358,"sum":276311,"residue":371},{"from_index":1358,"to_index":2098,"sum":265726,"residue":6},{"from_index":2098,"to_index":618,"sum":265361,"residue":371}],"minimal_cycle":[371,6,371],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":371,"start_interval_clock_positions":[618,1358],"circle_positions":730,"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":[619,1359,2099],"clock_positions":[619,1359,2099],"native_values":[121,486,121],"rotation_degrees":100.37837837837837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[121,486,121],"beta":{"interval_sums":[276549,265599,265964],"interval_residues":[609,609,244],"display_cycle":[609,609,244],"intervals":[{"from_index":619,"to_index":1359,"sum":276549,"residue":609},{"from_index":1359,"to_index":2099,"sum":265599,"residue":609},{"from_index":2099,"to_index":619,"sum":265964,"residue":244}],"minimal_cycle":[609,609,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":609,"start_interval_clock_positions":[619,1359],"circle_positions":730,"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":[620,1360,2100],"clock_positions":[620,1360,2100],"native_values":[115,115,480],"rotation_degrees":100.54054054054055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,115,480],"beta":{"interval_sums":[276920,265605,265605],"interval_residues":[250,615,615],"display_cycle":[250,615,615],"intervals":[{"from_index":620,"to_index":1360,"sum":276920,"residue":250},{"from_index":1360,"to_index":2100,"sum":265605,"residue":615},{"from_index":2100,"to_index":620,"sum":265605,"residue":615}],"minimal_cycle":[250,615,615],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":250,"start_interval_clock_positions":[620,1360],"circle_positions":730,"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":[621,1361,2101],"clock_positions":[621,1361,2101],"native_values":[236,601,601],"rotation_degrees":100.70270270270271,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[236,601,601],"beta":{"interval_sums":[276799,265484,265119],"interval_residues":[129,494,129],"display_cycle":[129,494,129],"intervals":[{"from_index":621,"to_index":1361,"sum":276799,"residue":129},{"from_index":1361,"to_index":2101,"sum":265484,"residue":494},{"from_index":2101,"to_index":621,"sum":265119,"residue":129}],"minimal_cycle":[129,494,129],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":129,"start_interval_clock_positions":[621,1361],"circle_positions":730,"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":[622,1362,2102],"clock_positions":[622,1362,2102],"native_values":[351,716,351],"rotation_degrees":100.86486486486487,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,716,351],"beta":{"interval_sums":[277049,265369,265004],"interval_residues":[379,379,14],"display_cycle":[379,379,14],"intervals":[{"from_index":622,"to_index":1362,"sum":277049,"residue":379},{"from_index":1362,"to_index":2102,"sum":265369,"residue":379},{"from_index":2102,"to_index":622,"sum":265004,"residue":14}],"minimal_cycle":[379,379,14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":379,"start_interval_clock_positions":[622,1362],"circle_positions":730,"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":[623,1363,2103],"clock_positions":[623,1363,2103],"native_values":[587,587,222],"rotation_degrees":101.02702702702703,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,587,222],"beta":{"interval_sums":[277178,265133,265133],"interval_residues":[508,143,143],"display_cycle":[508,143,143],"intervals":[{"from_index":623,"to_index":1363,"sum":277178,"residue":508},{"from_index":1363,"to_index":2103,"sum":265133,"residue":143},{"from_index":2103,"to_index":623,"sum":265133,"residue":143}],"minimal_cycle":[508,143,143],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":508,"start_interval_clock_positions":[623,1363],"circle_positions":730,"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":[624,1364,2104],"clock_positions":[624,1364,2104],"native_values":[208,573,573],"rotation_degrees":101.1891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[208,573,573],"beta":{"interval_sums":[277557,264782,265147],"interval_residues":[157,522,157],"display_cycle":[157,522,157],"intervals":[{"from_index":624,"to_index":1364,"sum":277557,"residue":157},{"from_index":1364,"to_index":2104,"sum":264782,"residue":522},{"from_index":2104,"to_index":624,"sum":265147,"residue":157}],"minimal_cycle":[157,522,157],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":157,"start_interval_clock_positions":[624,1364],"circle_positions":730,"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":[625,1365,2105],"clock_positions":[625,1365,2105],"native_values":[65,430,65],"rotation_degrees":101.35135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,430,65],"beta":{"interval_sums":[278065,264925,265290],"interval_residues":[665,665,300],"display_cycle":[665,665,300],"intervals":[{"from_index":625,"to_index":1365,"sum":278065,"residue":665},{"from_index":1365,"to_index":2105,"sum":264925,"residue":665},{"from_index":2105,"to_index":625,"sum":265290,"residue":300}],"minimal_cycle":[665,665,300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":665,"start_interval_clock_positions":[625,1365],"circle_positions":730,"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":[626,1366,2106],"clock_positions":[626,1366,2106],"native_values":[273,273,638],"rotation_degrees":101.51351351351352,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[273,273,638],"beta":{"interval_sums":[278222,264717,264717],"interval_residues":[92,457,457],"display_cycle":[92,457,457],"intervals":[{"from_index":626,"to_index":1366,"sum":278222,"residue":92},{"from_index":1366,"to_index":2106,"sum":264717,"residue":457},{"from_index":2106,"to_index":626,"sum":264717,"residue":457}],"minimal_cycle":[92,457,457],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[626,1366],"circle_positions":730,"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":[627,1367,2107],"clock_positions":[627,1367,2107],"native_values":[338,703,703],"rotation_degrees":101.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[338,703,703],"beta":{"interval_sums":[278157,264652,264287],"interval_residues":[27,392,27],"display_cycle":[27,392,27],"intervals":[{"from_index":627,"to_index":1367,"sum":278157,"residue":27},{"from_index":1367,"to_index":2107,"sum":264652,"residue":392},{"from_index":2107,"to_index":627,"sum":264287,"residue":27}],"minimal_cycle":[27,392,27],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":27,"start_interval_clock_positions":[627,1367],"circle_positions":730,"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":[628,1368,2108],"clock_positions":[628,1368,2108],"native_values":[611,246,611],"rotation_degrees":101.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[611,246,611],"beta":{"interval_sums":[278249,265109,264014],"interval_residues":[119,119,484],"display_cycle":[119,119,484],"intervals":[{"from_index":628,"to_index":1368,"sum":278249,"residue":119},{"from_index":1368,"to_index":2108,"sum":265109,"residue":119},{"from_index":2108,"to_index":628,"sum":264014,"residue":484}],"minimal_cycle":[119,119,484],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":119,"start_interval_clock_positions":[628,1368],"circle_positions":730,"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":[629,1369,2109],"clock_positions":[629,1369,2109],"native_values":[219,219,584],"rotation_degrees":102.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,219,584],"beta":{"interval_sums":[278276,265501,264041],"interval_residues":[146,511,511],"display_cycle":[146,511,511],"intervals":[{"from_index":629,"to_index":1369,"sum":278276,"residue":146},{"from_index":1369,"to_index":2109,"sum":265501,"residue":511},{"from_index":2109,"to_index":629,"sum":264041,"residue":511}],"minimal_cycle":[146,511,511],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[629,1369],"circle_positions":730,"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":[630,1370,2110],"clock_positions":[630,1370,2110],"native_values":[100,465,465],"rotation_degrees":102.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[100,465,465],"beta":{"interval_sums":[278395,265620,263795],"interval_residues":[265,630,265],"display_cycle":[265,630,265],"intervals":[{"from_index":630,"to_index":1370,"sum":278395,"residue":265},{"from_index":1370,"to_index":2110,"sum":265620,"residue":630},{"from_index":2110,"to_index":630,"sum":263795,"residue":265}],"minimal_cycle":[265,630,265],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[630,1370],"circle_positions":730,"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":[631,1371,2111],"clock_positions":[631,1371,2111],"native_values":[319,684,319],"rotation_degrees":102.32432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[319,684,319],"beta":{"interval_sums":[278541,265401,263576],"interval_residues":[411,411,46],"display_cycle":[411,411,46],"intervals":[{"from_index":631,"to_index":1371,"sum":278541,"residue":411},{"from_index":1371,"to_index":2111,"sum":265401,"residue":411},{"from_index":2111,"to_index":631,"sum":263576,"residue":46}],"minimal_cycle":[411,411,46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":411,"start_interval_clock_positions":[631,1371],"circle_positions":730,"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":[632,1372,2112],"clock_positions":[632,1372,2112],"native_values":[419,419,54],"rotation_degrees":102.48648648648648,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[419,419,54],"beta":{"interval_sums":[278806,265301,263841],"interval_residues":[676,311,311],"display_cycle":[676,311,311],"intervals":[{"from_index":632,"to_index":1372,"sum":278806,"residue":676},{"from_index":1372,"to_index":2112,"sum":265301,"residue":311},{"from_index":2112,"to_index":632,"sum":263841,"residue":311}],"minimal_cycle":[676,311,311],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":676,"start_interval_clock_positions":[632,1372],"circle_positions":730,"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":[633,1373,2113],"clock_positions":[633,1373,2113],"native_values":[8,373,373],"rotation_degrees":102.64864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,373,373],"beta":{"interval_sums":[279217,264982,263887],"interval_residues":[357,722,357],"display_cycle":[357,722,357],"intervals":[{"from_index":633,"to_index":1373,"sum":279217,"residue":357},{"from_index":1373,"to_index":2113,"sum":264982,"residue":722},{"from_index":2113,"to_index":633,"sum":263887,"residue":357}],"minimal_cycle":[357,722,357],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":357,"start_interval_clock_positions":[633,1373],"circle_positions":730,"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":[634,1374,2114],"clock_positions":[634,1374,2114],"native_values":[427,62,427],"rotation_degrees":102.8108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[427,62,427],"beta":{"interval_sums":[279163,265293,263468],"interval_residues":[303,303,668],"display_cycle":[303,303,668],"intervals":[{"from_index":634,"to_index":1374,"sum":279163,"residue":303},{"from_index":1374,"to_index":2114,"sum":265293,"residue":303},{"from_index":2114,"to_index":634,"sum":263468,"residue":668}],"minimal_cycle":[303,303,668],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":303,"start_interval_clock_positions":[634,1374],"circle_positions":730,"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":[635,1375,2115],"clock_positions":[635,1375,2115],"native_values":[435,435,70],"rotation_degrees":102.97297297297297,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[435,435,70],"beta":{"interval_sums":[278790,265285,263825],"interval_residues":[660,295,295],"display_cycle":[660,295,295],"intervals":[{"from_index":635,"to_index":1375,"sum":278790,"residue":660},{"from_index":1375,"to_index":2115,"sum":265285,"residue":295},{"from_index":2115,"to_index":635,"sum":263825,"residue":295}],"minimal_cycle":[660,295,295],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":660,"start_interval_clock_positions":[635,1375],"circle_positions":730,"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":[636,1376,2116],"clock_positions":[636,1376,2116],"native_values":[132,497,497],"rotation_degrees":103.13513513513513,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,497,497],"beta":{"interval_sums":[279093,264858,263763],"interval_residues":[233,598,233],"display_cycle":[233,598,233],"intervals":[{"from_index":636,"to_index":1376,"sum":279093,"residue":233},{"from_index":1376,"to_index":2116,"sum":264858,"residue":598},{"from_index":2116,"to_index":636,"sum":263763,"residue":233}],"minimal_cycle":[233,598,233],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":233,"start_interval_clock_positions":[636,1376],"circle_positions":730,"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":[637,1377,2117],"clock_positions":[637,1377,2117],"native_values":[567,202,567],"rotation_degrees":103.29729729729729,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,202,567],"beta":{"interval_sums":[279023,265153,263328],"interval_residues":[163,163,528],"display_cycle":[163,163,528],"intervals":[{"from_index":637,"to_index":1377,"sum":279023,"residue":163},{"from_index":1377,"to_index":2117,"sum":265153,"residue":163},{"from_index":2117,"to_index":637,"sum":263328,"residue":528}],"minimal_cycle":[163,163,528],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":163,"start_interval_clock_positions":[637,1377],"circle_positions":730,"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":[638,1378,2118],"clock_positions":[638,1378,2118],"native_values":[699,699,334],"rotation_degrees":103.45945945945945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[699,699,334],"beta":{"interval_sums":[278526,265021,263561],"interval_residues":[396,31,31],"display_cycle":[396,31,31],"intervals":[{"from_index":638,"to_index":1378,"sum":278526,"residue":396},{"from_index":1378,"to_index":2118,"sum":265021,"residue":31},{"from_index":2118,"to_index":638,"sum":263561,"residue":31}],"minimal_cycle":[396,31,31],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":396,"start_interval_clock_positions":[638,1378],"circle_positions":730,"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":[639,1379,2119],"clock_positions":[639,1379,2119],"native_values":[536,171,171],"rotation_degrees":103.62162162162163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[536,171,171],"beta":{"interval_sums":[278689,265184,264089],"interval_residues":[559,194,559],"display_cycle":[559,194,559],"intervals":[{"from_index":639,"to_index":1379,"sum":278689,"residue":559},{"from_index":1379,"to_index":2119,"sum":265184,"residue":194},{"from_index":2119,"to_index":639,"sum":264089,"residue":559}],"minimal_cycle":[559,194,559],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":559,"start_interval_clock_positions":[639,1379],"circle_positions":730,"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":[640,1380,2120],"clock_positions":[640,1380,2120],"native_values":[505,140,505],"rotation_degrees":103.78378378378379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[505,140,505],"beta":{"interval_sums":[278355,265215,264120],"interval_residues":[225,225,590],"display_cycle":[225,225,590],"intervals":[{"from_index":640,"to_index":1380,"sum":278355,"residue":225},{"from_index":1380,"to_index":2120,"sum":265215,"residue":225},{"from_index":2120,"to_index":640,"sum":264120,"residue":590}],"minimal_cycle":[225,225,590],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":225,"start_interval_clock_positions":[640,1380],"circle_positions":730,"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":[641,1381,2121],"clock_positions":[641,1381,2121],"native_values":[311,311,676],"rotation_degrees":103.94594594594595,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,311,676],"beta":{"interval_sums":[278184,265409,263949],"interval_residues":[54,419,419],"display_cycle":[54,419,419],"intervals":[{"from_index":641,"to_index":1381,"sum":278184,"residue":54},{"from_index":1381,"to_index":2121,"sum":265409,"residue":419},{"from_index":2121,"to_index":641,"sum":263949,"residue":419}],"minimal_cycle":[54,419,419],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[641,1381],"circle_positions":730,"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":[642,1382,2122],"clock_positions":[642,1382,2122],"native_values":[86,451,451],"rotation_degrees":104.10810810810811,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[86,451,451],"beta":{"interval_sums":[278409,265634,263809],"interval_residues":[279,644,279],"display_cycle":[279,644,279],"intervals":[{"from_index":642,"to_index":1382,"sum":278409,"residue":279},{"from_index":1382,"to_index":2122,"sum":265634,"residue":644},{"from_index":2122,"to_index":642,"sum":263809,"residue":279}],"minimal_cycle":[279,644,279],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":279,"start_interval_clock_positions":[642,1382],"circle_positions":730,"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":[643,1383,2123],"clock_positions":[643,1383,2123],"native_values":[397,32,397],"rotation_degrees":104.27027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,32,397],"beta":{"interval_sums":[278463,266053,263498],"interval_residues":[333,333,698],"display_cycle":[333,333,698],"intervals":[{"from_index":643,"to_index":1383,"sum":278463,"residue":333},{"from_index":1383,"to_index":2123,"sum":266053,"residue":333},{"from_index":2123,"to_index":643,"sum":263498,"residue":698}],"minimal_cycle":[333,333,698],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":333,"start_interval_clock_positions":[643,1383],"circle_positions":730,"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":[644,1384,2124],"clock_positions":[644,1384,2124],"native_values":[483,483,118],"rotation_degrees":104.43243243243244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,483,118],"beta":{"interval_sums":[278012,265967,263777],"interval_residues":[612,247,247],"display_cycle":[612,247,247],"intervals":[{"from_index":644,"to_index":1384,"sum":278012,"residue":612},{"from_index":1384,"to_index":2124,"sum":265967,"residue":247},{"from_index":2124,"to_index":644,"sum":263777,"residue":247}],"minimal_cycle":[612,247,247],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":612,"start_interval_clock_positions":[644,1384],"circle_positions":730,"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":[645,1385,2125],"clock_positions":[645,1385,2125],"native_values":[150,515,515],"rotation_degrees":104.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[150,515,515],"beta":{"interval_sums":[278345,265570,263745],"interval_residues":[215,580,215],"display_cycle":[215,580,215],"intervals":[{"from_index":645,"to_index":1385,"sum":278345,"residue":215},{"from_index":1385,"to_index":2125,"sum":265570,"residue":580},{"from_index":2125,"to_index":645,"sum":263745,"residue":215}],"minimal_cycle":[215,580,215],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":215,"start_interval_clock_positions":[645,1385],"circle_positions":730,"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":[646,1386,2126],"clock_positions":[646,1386,2126],"native_values":[633,268,633],"rotation_degrees":104.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[633,268,633],"beta":{"interval_sums":[278227,265817,263262],"interval_residues":[97,97,462],"display_cycle":[97,97,462],"intervals":[{"from_index":646,"to_index":1386,"sum":278227,"residue":97},{"from_index":1386,"to_index":2126,"sum":265817,"residue":97},{"from_index":2126,"to_index":646,"sum":263262,"residue":462}],"minimal_cycle":[97,97,462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":97,"start_interval_clock_positions":[646,1386],"circle_positions":730,"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":[647,1387,2127],"clock_positions":[647,1387,2127],"native_values":[53,53,418],"rotation_degrees":104.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,53,418],"beta":{"interval_sums":[278442,266397,263477],"interval_residues":[312,677,677],"display_cycle":[312,677,677],"intervals":[{"from_index":647,"to_index":1387,"sum":278442,"residue":312},{"from_index":1387,"to_index":2127,"sum":266397,"residue":677},{"from_index":2127,"to_index":647,"sum":263477,"residue":677}],"minimal_cycle":[312,677,677],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[647,1387],"circle_positions":730,"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":[648,1388,2128],"clock_positions":[648,1388,2128],"native_values":[686,321,321],"rotation_degrees":105.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[686,321,321],"beta":{"interval_sums":[277809,266494,263209],"interval_residues":[409,44,409],"display_cycle":[409,44,409],"intervals":[{"from_index":648,"to_index":1388,"sum":277809,"residue":409},{"from_index":1388,"to_index":2128,"sum":266494,"residue":44},{"from_index":2128,"to_index":648,"sum":263209,"residue":409}],"minimal_cycle":[409,44,409],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":409,"start_interval_clock_positions":[648,1388],"circle_positions":730,"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":[649,1389,2129],"clock_positions":[649,1389,2129],"native_values":[9,374,9],"rotation_degrees":105.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,374,9],"beta":{"interval_sums":[278121,266441,263886],"interval_residues":[721,721,356],"display_cycle":[721,721,356],"intervals":[{"from_index":649,"to_index":1389,"sum":278121,"residue":721},{"from_index":1389,"to_index":2129,"sum":266441,"residue":721},{"from_index":2129,"to_index":649,"sum":263886,"residue":356}],"minimal_cycle":[721,721,356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":721,"start_interval_clock_positions":[649,1389],"circle_positions":730,"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":[650,1390,2130],"clock_positions":[650,1390,2130],"native_values":[695,695,330],"rotation_degrees":105.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[695,695,330],"beta":{"interval_sums":[277800,265755,263565],"interval_residues":[400,35,35],"display_cycle":[400,35,35],"intervals":[{"from_index":650,"to_index":1390,"sum":277800,"residue":400},{"from_index":1390,"to_index":2130,"sum":265755,"residue":35},{"from_index":2130,"to_index":650,"sum":263565,"residue":35}],"minimal_cycle":[400,35,35],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":400,"start_interval_clock_positions":[650,1390],"circle_positions":730,"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":[651,1391,2131],"clock_positions":[651,1391,2131],"native_values":[704,339,339],"rotation_degrees":105.56756756756756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[704,339,339],"beta":{"interval_sums":[277791,265746,263921],"interval_residues":[391,26,391],"display_cycle":[391,26,391],"intervals":[{"from_index":651,"to_index":1391,"sum":277791,"residue":391},{"from_index":1391,"to_index":2131,"sum":265746,"residue":26},{"from_index":2131,"to_index":651,"sum":263921,"residue":391}],"minimal_cycle":[391,26,391],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":391,"start_interval_clock_positions":[651,1391],"circle_positions":730,"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":[652,1392,2132],"clock_positions":[652,1392,2132],"native_values":[669,304,669],"rotation_degrees":105.72972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,304,669],"beta":{"interval_sums":[277461,265781,263956],"interval_residues":[61,61,426],"display_cycle":[61,61,426],"intervals":[{"from_index":652,"to_index":1392,"sum":277461,"residue":61},{"from_index":1392,"to_index":2132,"sum":265781,"residue":61},{"from_index":2132,"to_index":652,"sum":263956,"residue":426}],"minimal_cycle":[61,61,426],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":61,"start_interval_clock_positions":[652,1392],"circle_positions":730,"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":[653,1393,2133],"clock_positions":[653,1393,2133],"native_values":[643,643,278],"rotation_degrees":105.89189189189189,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[643,643,278],"beta":{"interval_sums":[277122,265807,264347],"interval_residues":[452,87,87],"display_cycle":[452,87,87],"intervals":[{"from_index":653,"to_index":1393,"sum":277122,"residue":452},{"from_index":1393,"to_index":2133,"sum":265807,"residue":87},{"from_index":2133,"to_index":653,"sum":264347,"residue":87}],"minimal_cycle":[452,87,87],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[653,1393],"circle_positions":730,"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":[654,1394,2134],"clock_positions":[654,1394,2134],"native_values":[582,217,217],"rotation_degrees":106.05405405405405,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[582,217,217],"beta":{"interval_sums":[277183,265868,264773],"interval_residues":[513,148,513],"display_cycle":[513,148,513],"intervals":[{"from_index":654,"to_index":1394,"sum":277183,"residue":513},{"from_index":1394,"to_index":2134,"sum":265868,"residue":148},{"from_index":2134,"to_index":654,"sum":264773,"residue":513}],"minimal_cycle":[513,148,513],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":513,"start_interval_clock_positions":[654,1394],"circle_positions":730,"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":[655,1395,2135],"clock_positions":[655,1395,2135],"native_values":[495,130,495],"rotation_degrees":106.21621621621621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[495,130,495],"beta":{"interval_sums":[276905,265955,264860],"interval_residues":[235,235,600],"display_cycle":[235,235,600],"intervals":[{"from_index":655,"to_index":1395,"sum":276905,"residue":235},{"from_index":1395,"to_index":2135,"sum":265955,"residue":235},{"from_index":2135,"to_index":655,"sum":264860,"residue":600}],"minimal_cycle":[235,235,600],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":235,"start_interval_clock_positions":[655,1395],"circle_positions":730,"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":[656,1396,2136],"clock_positions":[656,1396,2136],"native_values":[347,347,712],"rotation_degrees":106.37837837837837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,347,712],"beta":{"interval_sums":[276688,266103,264643],"interval_residues":[18,383,383],"display_cycle":[18,383,383],"intervals":[{"from_index":656,"to_index":1396,"sum":276688,"residue":18},{"from_index":1396,"to_index":2136,"sum":266103,"residue":383},{"from_index":2136,"to_index":656,"sum":264643,"residue":383}],"minimal_cycle":[18,383,383],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[656,1396],"circle_positions":730,"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":[657,1397,2137],"clock_positions":[657,1397,2137],"native_values":[112,477,477],"rotation_degrees":106.54054054054055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[112,477,477],"beta":{"interval_sums":[276923,266338,264513],"interval_residues":[253,618,253],"display_cycle":[253,618,253],"intervals":[{"from_index":657,"to_index":1397,"sum":276923,"residue":253},{"from_index":1397,"to_index":2137,"sum":266338,"residue":618},{"from_index":2137,"to_index":657,"sum":264513,"residue":253}],"minimal_cycle":[253,618,253],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":253,"start_interval_clock_positions":[657,1397],"circle_positions":730,"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":[658,1398,2138],"clock_positions":[658,1398,2138],"native_values":[459,94,459],"rotation_degrees":106.70270270270271,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[459,94,459],"beta":{"interval_sums":[276941,266721,264166],"interval_residues":[271,271,636],"display_cycle":[271,271,636],"intervals":[{"from_index":658,"to_index":1398,"sum":276941,"residue":271},{"from_index":1398,"to_index":2138,"sum":266721,"residue":271},{"from_index":2138,"to_index":658,"sum":264166,"residue":636}],"minimal_cycle":[271,271,636],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":271,"start_interval_clock_positions":[658,1398],"circle_positions":730,"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":[659,1399,2139],"clock_positions":[659,1399,2139],"native_values":[571,571,206],"rotation_degrees":106.86486486486487,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[571,571,206],"beta":{"interval_sums":[276464,266609,264419],"interval_residues":[524,159,159],"display_cycle":[524,159,159],"intervals":[{"from_index":659,"to_index":1399,"sum":276464,"residue":524},{"from_index":1399,"to_index":2139,"sum":266609,"residue":159},{"from_index":2139,"to_index":659,"sum":264419,"residue":159}],"minimal_cycle":[524,159,159],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[659,1399],"circle_positions":730,"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":[660,1400,2140],"clock_positions":[660,1400,2140],"native_values":[300,665,665],"rotation_degrees":107.02702702702703,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,665,665],"beta":{"interval_sums":[276735,266150,264325],"interval_residues":[65,430,65],"display_cycle":[65,430,65],"intervals":[{"from_index":660,"to_index":1400,"sum":276735,"residue":65},{"from_index":1400,"to_index":2140,"sum":266150,"residue":430},{"from_index":2140,"to_index":660,"sum":264325,"residue":65}],"minimal_cycle":[65,430,65],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":65,"start_interval_clock_positions":[660,1400],"circle_positions":730,"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":[661,1401,2141],"clock_positions":[661,1401,2141],"native_values":[141,506,141],"rotation_degrees":107.1891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,506,141],"beta":{"interval_sums":[277259,266309,264484],"interval_residues":[589,589,224],"display_cycle":[589,589,224],"intervals":[{"from_index":661,"to_index":1401,"sum":277259,"residue":589},{"from_index":1401,"to_index":2141,"sum":266309,"residue":589},{"from_index":2141,"to_index":661,"sum":264484,"residue":224}],"minimal_cycle":[589,589,224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":589,"start_interval_clock_positions":[661,1401],"circle_positions":730,"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":[662,1402,2142],"clock_positions":[662,1402,2142],"native_values":[441,441,76],"rotation_degrees":107.35135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,441,76],"beta":{"interval_sums":[277324,266009,264549],"interval_residues":[654,289,289],"display_cycle":[654,289,289],"intervals":[{"from_index":662,"to_index":1402,"sum":277324,"residue":654},{"from_index":1402,"to_index":2142,"sum":266009,"residue":289},{"from_index":2142,"to_index":662,"sum":264549,"residue":289}],"minimal_cycle":[654,289,289],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":654,"start_interval_clock_positions":[662,1402],"circle_positions":730,"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":[663,1403,2143],"clock_positions":[663,1403,2143],"native_values":[582,217,217],"rotation_degrees":107.51351351351352,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[582,217,217],"beta":{"interval_sums":[277183,265868,264773],"interval_residues":[513,148,513],"display_cycle":[513,148,513],"intervals":[{"from_index":663,"to_index":1403,"sum":277183,"residue":513},{"from_index":1403,"to_index":2143,"sum":265868,"residue":148},{"from_index":2143,"to_index":663,"sum":264773,"residue":513}],"minimal_cycle":[513,148,513],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":513,"start_interval_clock_positions":[663,1403],"circle_positions":730,"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":[664,1404,2144],"clock_positions":[664,1404,2144],"native_values":[293,658,293],"rotation_degrees":107.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[293,658,293],"beta":{"interval_sums":[277107,265427,265062],"interval_residues":[437,437,72],"display_cycle":[437,437,72],"intervals":[{"from_index":664,"to_index":1404,"sum":277107,"residue":437},{"from_index":1404,"to_index":2144,"sum":265427,"residue":437},{"from_index":2144,"to_index":664,"sum":265062,"residue":72}],"minimal_cycle":[437,437,72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":437,"start_interval_clock_positions":[664,1404],"circle_positions":730,"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":[665,1405,2145],"clock_positions":[665,1405,2145],"native_values":[145,145,510],"rotation_degrees":107.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[145,145,510],"beta":{"interval_sums":[277620,265575,264845],"interval_residues":[220,585,585],"display_cycle":[220,585,585],"intervals":[{"from_index":665,"to_index":1405,"sum":277620,"residue":220},{"from_index":1405,"to_index":2145,"sum":265575,"residue":585},{"from_index":2145,"to_index":665,"sum":264845,"residue":585}],"minimal_cycle":[220,585,585],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[665,1405],"circle_positions":730,"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":[666,1406,2146],"clock_positions":[666,1406,2146],"native_values":[438,73,73],"rotation_degrees":108.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[438,73,73],"beta":{"interval_sums":[277327,266012,264917],"interval_residues":[657,292,657],"display_cycle":[657,292,657],"intervals":[{"from_index":666,"to_index":1406,"sum":277327,"residue":657},{"from_index":1406,"to_index":2146,"sum":266012,"residue":292},{"from_index":2146,"to_index":666,"sum":264917,"residue":657}],"minimal_cycle":[657,292,657],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":657,"start_interval_clock_positions":[666,1406],"circle_positions":730,"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":[667,1407,2147],"clock_positions":[667,1407,2147],"native_values":[583,218,583],"rotation_degrees":108.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[583,218,583],"beta":{"interval_sums":[276817,265867,264772],"interval_residues":[147,147,512],"display_cycle":[147,147,512],"intervals":[{"from_index":667,"to_index":1407,"sum":276817,"residue":147},{"from_index":1407,"to_index":2147,"sum":265867,"residue":147},{"from_index":2147,"to_index":667,"sum":264772,"residue":512}],"minimal_cycle":[147,147,512],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":147,"start_interval_clock_positions":[667,1407],"circle_positions":730,"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":[668,1408,2148],"clock_positions":[668,1408,2148],"native_values":[291,291,656],"rotation_degrees":108.32432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,291,656],"beta":{"interval_sums":[276744,266159,264699],"interval_residues":[74,439,439],"display_cycle":[74,439,439],"intervals":[{"from_index":668,"to_index":1408,"sum":276744,"residue":74},{"from_index":1408,"to_index":2148,"sum":266159,"residue":439},{"from_index":2148,"to_index":668,"sum":264699,"residue":439}],"minimal_cycle":[74,439,439],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[668,1408],"circle_positions":730,"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":[669,1409,2149],"clock_positions":[669,1409,2149],"native_values":[144,509,509],"rotation_degrees":108.48648648648648,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,509,509],"beta":{"interval_sums":[276891,266306,264481],"interval_residues":[221,586,221],"display_cycle":[221,586,221],"intervals":[{"from_index":669,"to_index":1409,"sum":276891,"residue":221},{"from_index":1409,"to_index":2149,"sum":266306,"residue":586},{"from_index":2149,"to_index":669,"sum":264481,"residue":221}],"minimal_cycle":[221,586,221],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":221,"start_interval_clock_positions":[669,1409],"circle_positions":730,"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":[670,1410,2150],"clock_positions":[670,1410,2150],"native_values":[435,70,435],"rotation_degrees":108.64864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[435,70,435],"beta":{"interval_sums":[276965,266745,264190],"interval_residues":[295,295,660],"display_cycle":[295,295,660],"intervals":[{"from_index":670,"to_index":1410,"sum":276965,"residue":295},{"from_index":1410,"to_index":2150,"sum":266745,"residue":295},{"from_index":2150,"to_index":670,"sum":264190,"residue":660}],"minimal_cycle":[295,295,660],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":295,"start_interval_clock_positions":[670,1410],"circle_positions":730,"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":[671,1411,2151],"clock_positions":[671,1411,2151],"native_values":[579,579,214],"rotation_degrees":108.8108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[579,579,214],"beta":{"interval_sums":[276456,266601,264411],"interval_residues":[516,151,151],"display_cycle":[516,151,151],"intervals":[{"from_index":671,"to_index":1411,"sum":276456,"residue":516},{"from_index":1411,"to_index":2151,"sum":266601,"residue":151},{"from_index":2151,"to_index":671,"sum":264411,"residue":151}],"minimal_cycle":[516,151,151],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":516,"start_interval_clock_positions":[671,1411],"circle_positions":730,"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":[672,1412,2152],"clock_positions":[672,1412,2152],"native_values":[284,649,649],"rotation_degrees":108.97297297297297,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[284,649,649],"beta":{"interval_sums":[276751,266166,264341],"interval_residues":[81,446,81],"display_cycle":[81,446,81],"intervals":[{"from_index":672,"to_index":1412,"sum":276751,"residue":81},{"from_index":1412,"to_index":2152,"sum":266166,"residue":446},{"from_index":2152,"to_index":672,"sum":264341,"residue":81}],"minimal_cycle":[81,446,81],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":81,"start_interval_clock_positions":[672,1412],"circle_positions":730,"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":[673,1413,2153],"clock_positions":[673,1413,2153],"native_values":[133,498,133],"rotation_degrees":109.13513513513513,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,498,133],"beta":{"interval_sums":[277267,266317,264492],"interval_residues":[597,597,232],"display_cycle":[597,597,232],"intervals":[{"from_index":673,"to_index":1413,"sum":277267,"residue":597},{"from_index":1413,"to_index":2153,"sum":266317,"residue":597},{"from_index":2153,"to_index":673,"sum":264492,"residue":232}],"minimal_cycle":[597,597,232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":597,"start_interval_clock_positions":[673,1413],"circle_positions":730,"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":[674,1414,2154],"clock_positions":[674,1414,2154],"native_values":[417,417,52],"rotation_degrees":109.29729729729729,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,417,52],"beta":{"interval_sums":[277348,266033,264573],"interval_residues":[678,313,313],"display_cycle":[678,313,313],"intervals":[{"from_index":674,"to_index":1414,"sum":277348,"residue":678},{"from_index":1414,"to_index":2154,"sum":266033,"residue":313},{"from_index":2154,"to_index":674,"sum":264573,"residue":313}],"minimal_cycle":[678,313,313],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[674,1414],"circle_positions":730,"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":[675,1415,2155],"clock_positions":[675,1415,2155],"native_values":[550,185,185],"rotation_degrees":109.45945945945945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[550,185,185],"beta":{"interval_sums":[277215,265900,264805],"interval_residues":[545,180,545],"display_cycle":[545,180,545],"intervals":[{"from_index":675,"to_index":1415,"sum":277215,"residue":545},{"from_index":1415,"to_index":2155,"sum":265900,"residue":180},{"from_index":2155,"to_index":675,"sum":264805,"residue":545}],"minimal_cycle":[545,180,545],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":545,"start_interval_clock_positions":[675,1415],"circle_positions":730,"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":[676,1416,2156],"clock_positions":[676,1416,2156],"native_values":[237,602,237],"rotation_degrees":109.62162162162163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,602,237],"beta":{"interval_sums":[277163,265483,265118],"interval_residues":[493,493,128],"display_cycle":[493,493,128],"intervals":[{"from_index":676,"to_index":1416,"sum":277163,"residue":493},{"from_index":1416,"to_index":2156,"sum":265483,"residue":493},{"from_index":2156,"to_index":676,"sum":265118,"residue":128}],"minimal_cycle":[493,493,128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":493,"start_interval_clock_positions":[676,1416],"circle_positions":730,"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":[677,1417,2157],"clock_positions":[677,1417,2157],"native_values":[57,57,422],"rotation_degrees":109.78378378378379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,57,422],"beta":{"interval_sums":[277708,265663,264933],"interval_residues":[308,673,673],"display_cycle":[308,673,673],"intervals":[{"from_index":677,"to_index":1417,"sum":277708,"residue":308},{"from_index":1417,"to_index":2157,"sum":265663,"residue":673},{"from_index":2157,"to_index":677,"sum":264933,"residue":673}],"minimal_cycle":[308,673,673],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":308,"start_interval_clock_positions":[677,1417],"circle_positions":730,"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":[678,1418,2158],"clock_positions":[678,1418,2158],"native_values":[294,659,659],"rotation_degrees":109.94594594594595,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[294,659,659],"beta":{"interval_sums":[277471,265426,264331],"interval_residues":[71,436,71],"display_cycle":[71,436,71],"intervals":[{"from_index":678,"to_index":1418,"sum":277471,"residue":71},{"from_index":1418,"to_index":2158,"sum":265426,"residue":436},{"from_index":2158,"to_index":678,"sum":264331,"residue":71}],"minimal_cycle":[71,436,71],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":71,"start_interval_clock_positions":[678,1418],"circle_positions":730,"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":[679,1419,2159],"clock_positions":[679,1419,2159],"native_values":[351,716,351],"rotation_degrees":110.10810810810811,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,716,351],"beta":{"interval_sums":[277779,265369,264274],"interval_residues":[379,379,14],"display_cycle":[379,379,14],"intervals":[{"from_index":679,"to_index":1419,"sum":277779,"residue":379},{"from_index":1419,"to_index":2159,"sum":265369,"residue":379},{"from_index":2159,"to_index":679,"sum":264274,"residue":14}],"minimal_cycle":[379,379,14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":379,"start_interval_clock_positions":[679,1419],"circle_positions":730,"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":[680,1420,2160],"clock_positions":[680,1420,2160],"native_values":[645,645,280],"rotation_degrees":110.27027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[645,645,280],"beta":{"interval_sums":[277850,265075,264345],"interval_residues":[450,85,85],"display_cycle":[450,85,85],"intervals":[{"from_index":680,"to_index":1420,"sum":277850,"residue":450},{"from_index":1420,"to_index":2160,"sum":265075,"residue":85},{"from_index":2160,"to_index":680,"sum":264345,"residue":85}],"minimal_cycle":[450,85,85],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":450,"start_interval_clock_positions":[680,1420],"circle_positions":730,"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":[681,1421,2161],"clock_positions":[681,1421,2161],"native_values":[266,631,631],"rotation_degrees":110.43243243243244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[266,631,631],"beta":{"interval_sums":[278229,264724,264359],"interval_residues":[99,464,99],"display_cycle":[99,464,99],"intervals":[{"from_index":681,"to_index":1421,"sum":278229,"residue":99},{"from_index":1421,"to_index":2161,"sum":264724,"residue":464},{"from_index":2161,"to_index":681,"sum":264359,"residue":99}],"minimal_cycle":[99,464,99],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":99,"start_interval_clock_positions":[681,1421],"circle_positions":730,"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":[682,1422,2162],"clock_positions":[682,1422,2162],"native_values":[181,546,181],"rotation_degrees":110.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,546,181],"beta":{"interval_sums":[278679,264809,264444],"interval_residues":[549,549,184],"display_cycle":[549,549,184],"intervals":[{"from_index":682,"to_index":1422,"sum":278679,"residue":549},{"from_index":1422,"to_index":2162,"sum":264809,"residue":549},{"from_index":2162,"to_index":682,"sum":264444,"residue":184}],"minimal_cycle":[549,549,184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":549,"start_interval_clock_positions":[682,1422],"circle_positions":730,"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":[683,1423,2163],"clock_positions":[683,1423,2163],"native_values":[447,447,82],"rotation_degrees":110.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[447,447,82],"beta":{"interval_sums":[278778,264543,264543],"interval_residues":[648,283,283],"display_cycle":[648,283,283],"intervals":[{"from_index":683,"to_index":1423,"sum":278778,"residue":648},{"from_index":1423,"to_index":2163,"sum":264543,"residue":283},{"from_index":2163,"to_index":683,"sum":264543,"residue":283}],"minimal_cycle":[648,283,283],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":648,"start_interval_clock_positions":[683,1423],"circle_positions":730,"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":[684,1424,2164],"clock_positions":[684,1424,2164],"native_values":[628,263,263],"rotation_degrees":110.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[628,263,263],"beta":{"interval_sums":[278597,264362,264727],"interval_residues":[467,102,467],"display_cycle":[467,102,467],"intervals":[{"from_index":684,"to_index":1424,"sum":278597,"residue":467},{"from_index":1424,"to_index":2164,"sum":264362,"residue":102},{"from_index":2164,"to_index":684,"sum":264727,"residue":467}],"minimal_cycle":[467,102,467],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":467,"start_interval_clock_positions":[684,1424],"circle_positions":730,"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":[685,1425,2165],"clock_positions":[685,1425,2165],"native_values":[345,710,345],"rotation_degrees":111.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,710,345],"beta":{"interval_sums":[278515,263915,265010],"interval_residues":[385,385,20],"display_cycle":[385,385,20],"intervals":[{"from_index":685,"to_index":1425,"sum":278515,"residue":385},{"from_index":1425,"to_index":2165,"sum":263915,"residue":385},{"from_index":2165,"to_index":685,"sum":265010,"residue":20}],"minimal_cycle":[385,385,20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":385,"start_interval_clock_positions":[685,1425],"circle_positions":730,"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":[686,1426,2166],"clock_positions":[686,1426,2166],"native_values":[243,243,608],"rotation_degrees":111.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,243,608],"beta":{"interval_sums":[278982,264017,264747],"interval_residues":[122,487,487],"display_cycle":[122,487,487],"intervals":[{"from_index":686,"to_index":1426,"sum":278982,"residue":122},{"from_index":1426,"to_index":2166,"sum":264017,"residue":487},{"from_index":2166,"to_index":686,"sum":264747,"residue":487}],"minimal_cycle":[122,487,487],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[686,1426],"circle_positions":730,"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":[687,1427,2167],"clock_positions":[687,1427,2167],"native_values":[588,223,223],"rotation_degrees":111.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[588,223,223],"beta":{"interval_sums":[278637,264402,264767],"interval_residues":[507,142,507],"display_cycle":[507,142,507],"intervals":[{"from_index":687,"to_index":1427,"sum":278637,"residue":507},{"from_index":1427,"to_index":2167,"sum":264402,"residue":142},{"from_index":2167,"to_index":687,"sum":264767,"residue":507}],"minimal_cycle":[507,142,507],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":507,"start_interval_clock_positions":[687,1427],"circle_positions":730,"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":[688,1428,2168],"clock_positions":[688,1428,2168],"native_values":[101,466,101],"rotation_degrees":111.56756756756756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,466,101],"beta":{"interval_sums":[278759,264159,265254],"interval_residues":[629,629,264],"display_cycle":[629,629,264],"intervals":[{"from_index":688,"to_index":1428,"sum":278759,"residue":629},{"from_index":1428,"to_index":2168,"sum":264159,"residue":629},{"from_index":2168,"to_index":688,"sum":265254,"residue":264}],"minimal_cycle":[629,629,264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":629,"start_interval_clock_positions":[688,1428],"circle_positions":730,"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":[689,1429,2169],"clock_positions":[689,1429,2169],"native_values":[689,689,324],"rotation_degrees":111.72972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[689,689,324],"beta":{"interval_sums":[278536,263571,265031],"interval_residues":[406,41,41],"display_cycle":[406,41,41],"intervals":[{"from_index":689,"to_index":1429,"sum":278536,"residue":406},{"from_index":1429,"to_index":2169,"sum":263571,"residue":41},{"from_index":2169,"to_index":689,"sum":265031,"residue":41}],"minimal_cycle":[406,41,41],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[689,1429],"circle_positions":730,"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":[690,1430,2170],"clock_positions":[690,1430,2170],"native_values":[60,425,425],"rotation_degrees":111.89189189189189,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,425,425],"beta":{"interval_sums":[279165,263470,265295],"interval_residues":[305,670,305],"display_cycle":[305,670,305],"intervals":[{"from_index":690,"to_index":1430,"sum":279165,"residue":305},{"from_index":1430,"to_index":2170,"sum":263470,"residue":670},{"from_index":2170,"to_index":690,"sum":265295,"residue":305}],"minimal_cycle":[305,670,305],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":305,"start_interval_clock_positions":[690,1430],"circle_positions":730,"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":[691,1431,2171],"clock_positions":[691,1431,2171],"native_values":[19,384,19],"rotation_degrees":112.05405405405405,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[19,384,19],"beta":{"interval_sums":[279571,263511,265336],"interval_residues":[711,711,346],"display_cycle":[711,711,346],"intervals":[{"from_index":691,"to_index":1431,"sum":279571,"residue":711},{"from_index":1431,"to_index":2171,"sum":263511,"residue":711},{"from_index":2171,"to_index":691,"sum":265336,"residue":346}],"minimal_cycle":[711,711,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":711,"start_interval_clock_positions":[691,1431],"circle_positions":730,"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":[692,1432,2172],"clock_positions":[692,1432,2172],"native_values":[79,79,444],"rotation_degrees":112.21621621621621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,79,444],"beta":{"interval_sums":[279876,263451,264911],"interval_residues":[286,651,651],"display_cycle":[286,651,651],"intervals":[{"from_index":692,"to_index":1432,"sum":279876,"residue":286},{"from_index":1432,"to_index":2172,"sum":263451,"residue":651},{"from_index":2172,"to_index":692,"sum":264911,"residue":651}],"minimal_cycle":[286,651,651],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[692,1432],"circle_positions":730,"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":[693,1433,2173],"clock_positions":[693,1433,2173],"native_values":[98,463,463],"rotation_degrees":112.37837837837837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[98,463,463],"beta":{"interval_sums":[279857,263432,264527],"interval_residues":[267,632,267],"display_cycle":[267,632,267],"intervals":[{"from_index":693,"to_index":1433,"sum":279857,"residue":267},{"from_index":1433,"to_index":2173,"sum":263432,"residue":632},{"from_index":2173,"to_index":693,"sum":264527,"residue":267}],"minimal_cycle":[267,632,267],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":267,"start_interval_clock_positions":[693,1433],"circle_positions":730,"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":[694,1434,2174],"clock_positions":[694,1434,2174],"native_values":[177,542,177],"rotation_degrees":112.54054054054055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,542,177],"beta":{"interval_sums":[280143,263353,264448],"interval_residues":[553,553,188],"display_cycle":[553,553,188],"intervals":[{"from_index":694,"to_index":1434,"sum":280143,"residue":553},{"from_index":1434,"to_index":2174,"sum":263353,"residue":553},{"from_index":2174,"to_index":694,"sum":264448,"residue":188}],"minimal_cycle":[553,553,188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":553,"start_interval_clock_positions":[694,1434],"circle_positions":730,"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":[695,1435,2175],"clock_positions":[695,1435,2175],"native_values":[275,275,640],"rotation_degrees":112.70270270270271,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[275,275,640],"beta":{"interval_sums":[280410,263255,263985],"interval_residues":[90,455,455],"display_cycle":[90,455,455],"intervals":[{"from_index":695,"to_index":1435,"sum":280410,"residue":90},{"from_index":1435,"to_index":2175,"sum":263255,"residue":455},{"from_index":2175,"to_index":695,"sum":263985,"residue":455}],"minimal_cycle":[90,455,455],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[695,1435],"circle_positions":730,"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":[696,1436,2176],"clock_positions":[696,1436,2176],"native_values":[452,87,87],"rotation_degrees":112.86486486486487,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[452,87,87],"beta":{"interval_sums":[280233,263808,264173],"interval_residues":[643,278,643],"display_cycle":[643,278,643],"intervals":[{"from_index":696,"to_index":1436,"sum":280233,"residue":643},{"from_index":1436,"to_index":2176,"sum":263808,"residue":278},{"from_index":2176,"to_index":696,"sum":264173,"residue":643}],"minimal_cycle":[643,278,643],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":643,"start_interval_clock_positions":[696,1436],"circle_positions":730,"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":[697,1437,2177],"clock_positions":[697,1437,2177],"native_values":[727,362,727],"rotation_degrees":113.02702702702703,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[727,362,727],"beta":{"interval_sums":[279593,263533,263898],"interval_residues":[3,3,368],"display_cycle":[3,3,368],"intervals":[{"from_index":697,"to_index":1437,"sum":279593,"residue":3},{"from_index":1437,"to_index":2177,"sum":263533,"residue":3},{"from_index":2177,"to_index":697,"sum":263898,"residue":368}],"minimal_cycle":[3,3,368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":3,"start_interval_clock_positions":[697,1437],"circle_positions":730,"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":[698,1438,2178],"clock_positions":[698,1438,2178],"native_values":[449,449,84],"rotation_degrees":113.1891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,449,84],"beta":{"interval_sums":[279506,263811,264541],"interval_residues":[646,281,281],"display_cycle":[646,281,281],"intervals":[{"from_index":698,"to_index":1438,"sum":279506,"residue":646},{"from_index":1438,"to_index":2178,"sum":263811,"residue":281},{"from_index":2178,"to_index":698,"sum":264541,"residue":281}],"minimal_cycle":[646,281,281],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":646,"start_interval_clock_positions":[698,1438],"circle_positions":730,"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":[699,1439,2179],"clock_positions":[699,1439,2179],"native_values":[446,81,81],"rotation_degrees":113.35135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[446,81,81],"beta":{"interval_sums":[279509,263814,264909],"interval_residues":[649,284,649],"display_cycle":[649,284,649],"intervals":[{"from_index":699,"to_index":1439,"sum":279509,"residue":649},{"from_index":1439,"to_index":2179,"sum":263814,"residue":284},{"from_index":2179,"to_index":699,"sum":264909,"residue":649}],"minimal_cycle":[649,284,649],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":649,"start_interval_clock_positions":[699,1439],"circle_positions":730,"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":[700,1440,2180],"clock_positions":[700,1440,2180],"native_values":[165,530,165],"rotation_degrees":113.51351351351352,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,530,165],"beta":{"interval_sums":[279425,263365,265190],"interval_residues":[565,565,200],"display_cycle":[565,565,200],"intervals":[{"from_index":700,"to_index":1440,"sum":279425,"residue":565},{"from_index":1440,"to_index":2180,"sum":263365,"residue":565},{"from_index":2180,"to_index":700,"sum":265190,"residue":200}],"minimal_cycle":[565,565,200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":565,"start_interval_clock_positions":[700,1440],"circle_positions":730,"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":[701,1441,2181],"clock_positions":[701,1441,2181],"native_values":[611,611,246],"rotation_degrees":113.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[611,611,246],"beta":{"interval_sums":[279344,262919,265109],"interval_residues":[484,119,119],"display_cycle":[484,119,119],"intervals":[{"from_index":701,"to_index":1441,"sum":279344,"residue":484},{"from_index":1441,"to_index":2181,"sum":262919,"residue":119},{"from_index":2181,"to_index":701,"sum":265109,"residue":119}],"minimal_cycle":[484,119,119],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":484,"start_interval_clock_positions":[701,1441],"circle_positions":730,"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":[702,1442,2182],"clock_positions":[702,1442,2182],"native_values":[46,411,411],"rotation_degrees":113.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[46,411,411],"beta":{"interval_sums":[279909,262754,265309],"interval_residues":[319,684,319],"display_cycle":[319,684,319],"intervals":[{"from_index":702,"to_index":1442,"sum":279909,"residue":319},{"from_index":1442,"to_index":2182,"sum":262754,"residue":684},{"from_index":2182,"to_index":702,"sum":265309,"residue":319}],"minimal_cycle":[319,684,319],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":319,"start_interval_clock_positions":[702,1442],"circle_positions":730,"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":[703,1443,2183],"clock_positions":[703,1443,2183],"native_values":[657,292,657],"rotation_degrees":114.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,292,657],"beta":{"interval_sums":[279663,262873,264698],"interval_residues":[73,73,438],"display_cycle":[73,73,438],"intervals":[{"from_index":703,"to_index":1443,"sum":279663,"residue":73},{"from_index":1443,"to_index":2183,"sum":262873,"residue":73},{"from_index":2183,"to_index":703,"sum":264698,"residue":438}],"minimal_cycle":[73,73,438],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":73,"start_interval_clock_positions":[703,1443],"circle_positions":730,"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":[704,1444,2184],"clock_positions":[704,1444,2184],"native_values":[703,703,338],"rotation_degrees":114.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[703,703,338],"beta":{"interval_sums":[279252,262827,265017],"interval_residues":[392,27,27],"display_cycle":[392,27,27],"intervals":[{"from_index":704,"to_index":1444,"sum":279252,"residue":392},{"from_index":1444,"to_index":2184,"sum":262827,"residue":27},{"from_index":2184,"to_index":704,"sum":265017,"residue":27}],"minimal_cycle":[392,27,27],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[704,1444],"circle_positions":730,"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":[705,1445,2185],"clock_positions":[705,1445,2185],"native_values":[630,265,265],"rotation_degrees":114.32432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[630,265,265],"beta":{"interval_sums":[279325,262900,265455],"interval_residues":[465,100,465],"display_cycle":[465,100,465],"intervals":[{"from_index":705,"to_index":1445,"sum":279325,"residue":465},{"from_index":1445,"to_index":2185,"sum":262900,"residue":100},{"from_index":2185,"to_index":705,"sum":265455,"residue":465}],"minimal_cycle":[465,100,465],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":465,"start_interval_clock_positions":[705,1445],"circle_positions":730,"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":[706,1446,2186],"clock_positions":[706,1446,2186],"native_values":[603,238,603],"rotation_degrees":114.48648648648648,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[603,238,603],"beta":{"interval_sums":[278987,262927,265482],"interval_residues":[127,127,492],"display_cycle":[127,127,492],"intervals":[{"from_index":706,"to_index":1446,"sum":278987,"residue":127},{"from_index":1446,"to_index":2186,"sum":262927,"residue":127},{"from_index":2186,"to_index":706,"sum":265482,"residue":492}],"minimal_cycle":[127,127,492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":127,"start_interval_clock_positions":[706,1446],"circle_positions":730,"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":[707,1447,2187],"clock_positions":[707,1447,2187],"native_values":[503,503,138],"rotation_degrees":114.64864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[503,503,138],"beta":{"interval_sums":[278722,263027,265947],"interval_residues":[592,227,227],"display_cycle":[592,227,227],"intervals":[{"from_index":707,"to_index":1447,"sum":278722,"residue":592},{"from_index":1447,"to_index":2187,"sum":263027,"residue":227},{"from_index":2187,"to_index":707,"sum":265947,"residue":227}],"minimal_cycle":[592,227,227],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":592,"start_interval_clock_positions":[707,1447],"circle_positions":730,"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":[708,1448,2188],"clock_positions":[708,1448,2188],"native_values":[376,11,11],"rotation_degrees":114.8108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[376,11,11],"beta":{"interval_sums":[278849,263154,266439],"interval_residues":[719,354,719],"display_cycle":[719,354,719],"intervals":[{"from_index":708,"to_index":1448,"sum":278849,"residue":719},{"from_index":1448,"to_index":2188,"sum":263154,"residue":354},{"from_index":2188,"to_index":708,"sum":266439,"residue":719}],"minimal_cycle":[719,354,719],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":719,"start_interval_clock_positions":[708,1448],"circle_positions":730,"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":[709,1449,2189],"clock_positions":[709,1449,2189],"native_values":[149,514,149],"rotation_degrees":114.97297297297297,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,514,149],"beta":{"interval_sums":[278711,262651,266666],"interval_residues":[581,581,216],"display_cycle":[581,581,216],"intervals":[{"from_index":709,"to_index":1449,"sum":278711,"residue":581},{"from_index":1449,"to_index":2189,"sum":262651,"residue":581},{"from_index":2189,"to_index":709,"sum":266666,"residue":216}],"minimal_cycle":[581,581,216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":581,"start_interval_clock_positions":[709,1449],"circle_positions":730,"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":[710,1450,2190],"clock_positions":[710,1450,2190],"native_values":[525,525,160],"rotation_degrees":115.13513513513513,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[525,525,160],"beta":{"interval_sums":[278700,262275,266655],"interval_residues":[570,205,205],"display_cycle":[570,205,205],"intervals":[{"from_index":710,"to_index":1450,"sum":278700,"residue":570},{"from_index":1450,"to_index":2190,"sum":262275,"residue":205},{"from_index":2190,"to_index":710,"sum":266655,"residue":205}],"minimal_cycle":[570,205,205],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[710,1450],"circle_positions":730,"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":[711,1451,2191],"clock_positions":[711,1451,2191],"native_values":[674,309,309],"rotation_degrees":115.29729729729729,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[674,309,309],"beta":{"interval_sums":[278551,262126,266871],"interval_residues":[421,56,421],"display_cycle":[421,56,421],"intervals":[{"from_index":711,"to_index":1451,"sum":278551,"residue":421},{"from_index":1451,"to_index":2191,"sum":262126,"residue":56},{"from_index":2191,"to_index":711,"sum":266871,"residue":421}],"minimal_cycle":[421,56,421],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":421,"start_interval_clock_positions":[711,1451],"circle_positions":730,"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":[712,1452,2192],"clock_positions":[712,1452,2192],"native_values":[469,104,469],"rotation_degrees":115.45945945945945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,104,469],"beta":{"interval_sums":[278391,262331,267076],"interval_residues":[261,261,626],"display_cycle":[261,261,626],"intervals":[{"from_index":712,"to_index":1452,"sum":278391,"residue":261},{"from_index":1452,"to_index":2192,"sum":262331,"residue":261},{"from_index":2192,"to_index":712,"sum":267076,"residue":626}],"minimal_cycle":[261,261,626],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":261,"start_interval_clock_positions":[712,1452],"circle_positions":730,"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":[713,1453,2193],"clock_positions":[713,1453,2193],"native_values":[413,413,48],"rotation_degrees":115.62162162162163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[413,413,48],"beta":{"interval_sums":[278082,262387,267497],"interval_residues":[682,317,317],"display_cycle":[682,317,317],"intervals":[{"from_index":713,"to_index":1453,"sum":278082,"residue":682},{"from_index":1453,"to_index":2193,"sum":262387,"residue":317},{"from_index":2193,"to_index":713,"sum":267497,"residue":317}],"minimal_cycle":[682,317,317],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":682,"start_interval_clock_positions":[713,1453],"circle_positions":730,"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":[714,1454,2194],"clock_positions":[714,1454,2194],"native_values":[152,517,517],"rotation_degrees":115.78378378378379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[152,517,517],"beta":{"interval_sums":[278343,261918,267393],"interval_residues":[213,578,213],"display_cycle":[213,578,213],"intervals":[{"from_index":714,"to_index":1454,"sum":278343,"residue":213},{"from_index":1454,"to_index":2194,"sum":261918,"residue":578},{"from_index":2194,"to_index":714,"sum":267393,"residue":213}],"minimal_cycle":[213,578,213],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":213,"start_interval_clock_positions":[714,1454],"circle_positions":730,"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":[715,1455,2195],"clock_positions":[715,1455,2195],"native_values":[565,200,565],"rotation_degrees":115.94594594594595,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,200,565],"beta":{"interval_sums":[278295,262235,266980],"interval_residues":[165,165,530],"display_cycle":[165,165,530],"intervals":[{"from_index":715,"to_index":1455,"sum":278295,"residue":165},{"from_index":1455,"to_index":2195,"sum":262235,"residue":165},{"from_index":2195,"to_index":715,"sum":266980,"residue":530}],"minimal_cycle":[165,165,530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":165,"start_interval_clock_positions":[715,1455],"circle_positions":730,"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":[716,1456,2196],"clock_positions":[716,1456,2196],"native_values":[717,717,352],"rotation_degrees":116.10810810810811,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[717,717,352],"beta":{"interval_sums":[277778,262083,267193],"interval_residues":[378,13,13],"display_cycle":[378,13,13],"intervals":[{"from_index":716,"to_index":1456,"sum":277778,"residue":378},{"from_index":1456,"to_index":2196,"sum":262083,"residue":13},{"from_index":2196,"to_index":716,"sum":267193,"residue":13}],"minimal_cycle":[378,13,13],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[716,1456],"circle_positions":730,"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":[717,1457,2197],"clock_positions":[717,1457,2197],"native_values":[552,187,187],"rotation_degrees":116.27027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[552,187,187],"beta":{"interval_sums":[277943,262248,267723],"interval_residues":[543,178,543],"display_cycle":[543,178,543],"intervals":[{"from_index":717,"to_index":1457,"sum":277943,"residue":543},{"from_index":1457,"to_index":2197,"sum":262248,"residue":178},{"from_index":2197,"to_index":717,"sum":267723,"residue":543}],"minimal_cycle":[543,178,543],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":543,"start_interval_clock_positions":[717,1457],"circle_positions":730,"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":[718,1458,2198],"clock_positions":[718,1458,2198],"native_values":[539,174,539],"rotation_degrees":116.43243243243244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[539,174,539],"beta":{"interval_sums":[277591,262261,267736],"interval_residues":[191,191,556],"display_cycle":[191,191,556],"intervals":[{"from_index":718,"to_index":1458,"sum":277591,"residue":191},{"from_index":1458,"to_index":2198,"sum":262261,"residue":191},{"from_index":2198,"to_index":718,"sum":267736,"residue":556}],"minimal_cycle":[191,191,556],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":191,"start_interval_clock_positions":[718,1458],"circle_positions":730,"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":[719,1459,2199],"clock_positions":[719,1459,2199],"native_values":[361,361,726],"rotation_degrees":116.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[361,361,726],"beta":{"interval_sums":[277404,262439,267549],"interval_residues":[4,369,369],"display_cycle":[4,369,369],"intervals":[{"from_index":719,"to_index":1459,"sum":277404,"residue":4},{"from_index":1459,"to_index":2199,"sum":262439,"residue":369},{"from_index":2199,"to_index":719,"sum":267549,"residue":369}],"minimal_cycle":[4,369,369],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[719,1459],"circle_positions":730,"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":[720,1460,2200],"clock_positions":[720,1460,2200],"native_values":[170,535,535],"rotation_degrees":116.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[170,535,535],"beta":{"interval_sums":[277595,262630,267375],"interval_residues":[195,560,195],"display_cycle":[195,560,195],"intervals":[{"from_index":720,"to_index":1460,"sum":277595,"residue":195},{"from_index":1460,"to_index":2200,"sum":262630,"residue":560},{"from_index":2200,"to_index":720,"sum":267375,"residue":195}],"minimal_cycle":[195,560,195],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":195,"start_interval_clock_positions":[720,1460],"circle_positions":730,"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":[721,1461,2201],"clock_positions":[721,1461,2201],"native_values":[531,166,531],"rotation_degrees":116.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[531,166,531],"beta":{"interval_sums":[277599,262999,267014],"interval_residues":[199,199,564],"display_cycle":[199,199,564],"intervals":[{"from_index":721,"to_index":1461,"sum":277599,"residue":199},{"from_index":1461,"to_index":2201,"sum":262999,"residue":199},{"from_index":2201,"to_index":721,"sum":267014,"residue":564}],"minimal_cycle":[199,199,564],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":199,"start_interval_clock_positions":[721,1461],"circle_positions":730,"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":[722,1462,2202],"clock_positions":[722,1462,2202],"native_values":[701,701,336],"rotation_degrees":117.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[701,701,336],"beta":{"interval_sums":[277064,262829,267209],"interval_residues":[394,29,29],"display_cycle":[394,29,29],"intervals":[{"from_index":722,"to_index":1462,"sum":277064,"residue":394},{"from_index":1462,"to_index":2202,"sum":262829,"residue":29},{"from_index":2202,"to_index":722,"sum":267209,"residue":29}],"minimal_cycle":[394,29,29],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[722,1462],"circle_positions":730,"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":[723,1463,2203],"clock_positions":[723,1463,2203],"native_values":[502,137,137],"rotation_degrees":117.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,137,137],"beta":{"interval_sums":[277263,263028,267773],"interval_residues":[593,228,593],"display_cycle":[593,228,593],"intervals":[{"from_index":723,"to_index":1463,"sum":277263,"residue":593},{"from_index":1463,"to_index":2203,"sum":263028,"residue":228},{"from_index":2203,"to_index":723,"sum":267773,"residue":593}],"minimal_cycle":[593,228,593],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":593,"start_interval_clock_positions":[723,1463],"circle_positions":730,"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":[724,1464,2204],"clock_positions":[724,1464,2204],"native_values":[473,108,473],"rotation_degrees":117.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,108,473],"beta":{"interval_sums":[276927,263057,267802],"interval_residues":[257,257,622],"display_cycle":[257,257,622],"intervals":[{"from_index":724,"to_index":1464,"sum":276927,"residue":257},{"from_index":1464,"to_index":2204,"sum":263057,"residue":257},{"from_index":2204,"to_index":724,"sum":267802,"residue":622}],"minimal_cycle":[257,257,622],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":257,"start_interval_clock_positions":[724,1464],"circle_positions":730,"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":[725,1465,2205],"clock_positions":[725,1465,2205],"native_values":[245,245,610],"rotation_degrees":117.56756756756756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[245,245,610],"beta":{"interval_sums":[276790,263285,267665],"interval_residues":[120,485,485],"display_cycle":[120,485,485],"intervals":[{"from_index":725,"to_index":1465,"sum":276790,"residue":120},{"from_index":1465,"to_index":2205,"sum":263285,"residue":485},{"from_index":2205,"to_index":725,"sum":267665,"residue":485}],"minimal_cycle":[120,485,485],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[725,1465],"circle_positions":730,"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":[726,1466,2206],"clock_positions":[726,1466,2206],"native_values":[718,353,353],"rotation_degrees":117.72972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[718,353,353],"beta":{"interval_sums":[276317,263542,267557],"interval_residues":[377,12,377],"display_cycle":[377,12,377],"intervals":[{"from_index":726,"to_index":1466,"sum":276317,"residue":377},{"from_index":1466,"to_index":2206,"sum":263542,"residue":12},{"from_index":2206,"to_index":726,"sum":267557,"residue":377}],"minimal_cycle":[377,12,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[726,1466],"circle_positions":730,"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":[727,1467,2207],"clock_positions":[727,1467,2207],"native_values":[233,598,233],"rotation_degrees":117.89189189189189,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,598,233],"beta":{"interval_sums":[276437,263297,268042],"interval_residues":[497,497,132],"display_cycle":[497,497,132],"intervals":[{"from_index":727,"to_index":1467,"sum":276437,"residue":497},{"from_index":1467,"to_index":2207,"sum":263297,"residue":497},{"from_index":2207,"to_index":727,"sum":268042,"residue":132}],"minimal_cycle":[497,497,132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":497,"start_interval_clock_positions":[727,1467],"circle_positions":730,"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":[728,1468,2208],"clock_positions":[728,1468,2208],"native_values":[221,221,586],"rotation_degrees":118.05405405405405,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,221,586],"beta":{"interval_sums":[276814,263309,267689],"interval_residues":[144,509,509],"display_cycle":[144,509,509],"intervals":[{"from_index":728,"to_index":1468,"sum":276814,"residue":144},{"from_index":1468,"to_index":2208,"sum":263309,"residue":509},{"from_index":2208,"to_index":728,"sum":267689,"residue":509}],"minimal_cycle":[144,509,509],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[728,1468],"circle_positions":730,"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":[729,1469,2209],"clock_positions":[729,1469,2209],"native_values":[454,89,89],"rotation_degrees":118.21621621621621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[454,89,89],"beta":{"interval_sums":[276581,263806,267821],"interval_residues":[641,276,641],"display_cycle":[641,276,641],"intervals":[{"from_index":729,"to_index":1469,"sum":276581,"residue":641},{"from_index":1469,"to_index":2209,"sum":263806,"residue":276},{"from_index":2209,"to_index":729,"sum":267821,"residue":641}],"minimal_cycle":[641,276,641],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":641,"start_interval_clock_positions":[729,1469],"circle_positions":730,"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":[730,1470,2210],"clock_positions":[730,1470,2210],"native_values":[675,310,675],"rotation_degrees":118.37837837837837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[675,310,675],"beta":{"interval_sums":[275995,263585,267600],"interval_residues":[55,55,420],"display_cycle":[55,55,420],"intervals":[{"from_index":730,"to_index":1470,"sum":275995,"residue":55},{"from_index":1470,"to_index":2210,"sum":263585,"residue":55},{"from_index":2210,"to_index":730,"sum":267600,"residue":420}],"minimal_cycle":[55,55,420],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":55,"start_interval_clock_positions":[730,1470],"circle_positions":730,"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":[731,1471,2211],"clock_positions":[731,1471,2211],"native_values":[399,399,34],"rotation_degrees":118.54054054054055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[399,399,34],"beta":{"interval_sums":[275906,263861,268241],"interval_residues":[696,331,331],"display_cycle":[696,331,331],"intervals":[{"from_index":731,"to_index":1471,"sum":275906,"residue":696},{"from_index":1471,"to_index":2211,"sum":263861,"residue":331},{"from_index":2211,"to_index":731,"sum":268241,"residue":331}],"minimal_cycle":[696,331,331],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":696,"start_interval_clock_positions":[731,1471],"circle_positions":730,"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":[732,1472,2212],"clock_positions":[732,1472,2212],"native_values":[344,709,709],"rotation_degrees":118.70270270270271,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[344,709,709],"beta":{"interval_sums":[275961,263186,267931],"interval_residues":[21,386,21],"display_cycle":[21,386,21],"intervals":[{"from_index":732,"to_index":1472,"sum":275961,"residue":21},{"from_index":1472,"to_index":2212,"sum":263186,"residue":386},{"from_index":2212,"to_index":732,"sum":267931,"residue":21}],"minimal_cycle":[21,386,21],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":21,"start_interval_clock_positions":[732,1472],"circle_positions":730,"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":[733,1473,2213],"clock_positions":[733,1473,2213],"native_values":[13,378,13],"rotation_degrees":118.86486486486487,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,378,13],"beta":{"interval_sums":[276657,263517,268262],"interval_residues":[717,717,352],"display_cycle":[717,717,352],"intervals":[{"from_index":733,"to_index":1473,"sum":276657,"residue":717},{"from_index":1473,"to_index":2213,"sum":263517,"residue":717},{"from_index":2213,"to_index":733,"sum":268262,"residue":352}],"minimal_cycle":[717,717,352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":717,"start_interval_clock_positions":[733,1473],"circle_positions":730,"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":[734,1474,2214],"clock_positions":[734,1474,2214],"native_values":[357,357,722],"rotation_degrees":119.02702702702703,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,357,722],"beta":{"interval_sums":[276678,263173,267553],"interval_residues":[8,373,373],"display_cycle":[8,373,373],"intervals":[{"from_index":734,"to_index":1474,"sum":276678,"residue":8},{"from_index":1474,"to_index":2214,"sum":263173,"residue":373},{"from_index":2214,"to_index":734,"sum":267553,"residue":373}],"minimal_cycle":[8,373,373],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[734,1474],"circle_positions":730,"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":[735,1475,2215],"clock_positions":[735,1475,2215],"native_values":[370,5,5],"rotation_degrees":119.1891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[370,5,5],"beta":{"interval_sums":[276665,263890,267905],"interval_residues":[725,360,725],"display_cycle":[725,360,725],"intervals":[{"from_index":735,"to_index":1475,"sum":276665,"residue":725},{"from_index":1475,"to_index":2215,"sum":263890,"residue":360},{"from_index":2215,"to_index":735,"sum":267905,"residue":725}],"minimal_cycle":[725,360,725],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":725,"start_interval_clock_positions":[735,1475],"circle_positions":730,"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":[736,1476,2216],"clock_positions":[736,1476,2216],"native_values":[727,362,727],"rotation_degrees":119.35135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[727,362,727],"beta":{"interval_sums":[275943,263533,267548],"interval_residues":[3,3,368],"display_cycle":[3,3,368],"intervals":[{"from_index":736,"to_index":1476,"sum":275943,"residue":3},{"from_index":1476,"to_index":2216,"sum":263533,"residue":3},{"from_index":2216,"to_index":736,"sum":267548,"residue":368}],"minimal_cycle":[3,3,368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":3,"start_interval_clock_positions":[736,1476],"circle_positions":730,"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":[737,1477,2217],"clock_positions":[737,1477,2217],"native_values":[367,367,2],"rotation_degrees":119.51351351351352,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[367,367,2],"beta":{"interval_sums":[275938,263893,268273],"interval_residues":[728,363,363],"display_cycle":[728,363,363],"intervals":[{"from_index":737,"to_index":1477,"sum":275938,"residue":728},{"from_index":1477,"to_index":2217,"sum":263893,"residue":363},{"from_index":2217,"to_index":737,"sum":268273,"residue":363}],"minimal_cycle":[728,363,363],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":728,"start_interval_clock_positions":[737,1477],"circle_positions":730,"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":[738,1478,2218],"clock_positions":[738,1478,2218],"native_values":[364,729,729],"rotation_degrees":119.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[364,729,729],"beta":{"interval_sums":[275941,263166,267911],"interval_residues":[1,366,1],"display_cycle":[1,366,1],"intervals":[{"from_index":738,"to_index":1478,"sum":275941,"residue":1},{"from_index":1478,"to_index":2218,"sum":263166,"residue":366},{"from_index":2218,"to_index":738,"sum":267911,"residue":1}],"minimal_cycle":[1,366,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[738,1478],"circle_positions":730,"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":[739,1479,2219],"clock_positions":[739,1479,2219],"native_values":[1,366,1],"rotation_degrees":119.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,366,1],"beta":{"interval_sums":[276669,263529,268274],"interval_residues":[729,729,364],"display_cycle":[729,729,364],"intervals":[{"from_index":739,"to_index":1479,"sum":276669,"residue":729},{"from_index":1479,"to_index":2219,"sum":263529,"residue":729},{"from_index":2219,"to_index":739,"sum":268274,"residue":364}],"minimal_cycle":[729,729,364],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":729,"start_interval_clock_positions":[739,1479],"circle_positions":730,"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":[0,370,740,1110,1480,1850],"clock_positions":[2220,370,740,1110,1480,1850],"native_values":[730,365,365,730,365,365],"rotation_degrees":0.0,"north_south":true,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[730,365,365],"beta":{"interval_sums":[126288,141622,133588,143082,127018,135782],"interval_residues":[728,2,728,2,728,2],"display_cycle":[728,2,728,2,728,2],"intervals":[{"from_index":0,"to_index":370,"sum":126288,"residue":728},{"from_index":370,"to_index":740,"sum":141622,"residue":2},{"from_index":740,"to_index":1110,"sum":133588,"residue":728},{"from_index":1110,"to_index":1480,"sum":143082,"residue":2},{"from_index":1480,"to_index":1850,"sum":127018,"residue":728},{"from_index":1850,"to_index":0,"sum":135782,"residue":2}],"minimal_cycle":[728,2],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":728,"start_interval_clock_positions":[2220,370],"circle_positions":730,"cycle_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":[1,371,741,1111,1481,1851],"clock_positions":[1,371,741,1111,1481,1851],"native_values":[1,729,366,729,1,364],"rotation_degrees":0.16216216216216217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,729,366,729,1,364],"beta":{"interval_sums":[126652,141258,133222,142718,127382,135418],"interval_residues":[362,368,362,368,362,368],"display_cycle":[362,368,362,368,362,368],"intervals":[{"from_index":1,"to_index":371,"sum":126652,"residue":362},{"from_index":371,"to_index":741,"sum":141258,"residue":368},{"from_index":741,"to_index":1111,"sum":133222,"residue":362},{"from_index":1111,"to_index":1481,"sum":142718,"residue":368},{"from_index":1481,"to_index":1851,"sum":127382,"residue":362},{"from_index":1851,"to_index":1,"sum":135418,"residue":368}],"minimal_cycle":[362,368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[1,371],"circle_positions":730,"cycle_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":[2,372,742,1112,1482,1852],"clock_positions":[2,372,742,1112,1482,1852],"native_values":[1,364,1,729,366,729],"rotation_degrees":0.32432432432432434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,364,1,729,366,729],"beta":{"interval_sums":[127380,141260,133950,141990,127380,134690],"interval_residues":[360,370,360,370,360,370],"display_cycle":[360,370,360,370,360,370],"intervals":[{"from_index":2,"to_index":372,"sum":127380,"residue":360},{"from_index":372,"to_index":742,"sum":141260,"residue":370},{"from_index":742,"to_index":1112,"sum":133950,"residue":360},{"from_index":1112,"to_index":1482,"sum":141990,"residue":370},{"from_index":1482,"to_index":1852,"sum":127380,"residue":360},{"from_index":1852,"to_index":2,"sum":134690,"residue":370}],"minimal_cycle":[360,370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":360,"start_interval_clock_positions":[2,372],"circle_positions":730,"cycle_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":[3,373,743,1113,1483,1853],"clock_positions":[3,373,743,1113,1483,1853],"native_values":[2,363,367,728,367,363],"rotation_degrees":0.4864864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,363,367,728,367,363],"beta":{"interval_sums":[127742,140898,134312,141628,127742,134328],"interval_residues":[722,8,722,8,722,8],"display_cycle":[722,8,722,8,722,8],"intervals":[{"from_index":3,"to_index":373,"sum":127742,"residue":722},{"from_index":373,"to_index":743,"sum":140898,"residue":8},{"from_index":743,"to_index":1113,"sum":134312,"residue":722},{"from_index":1113,"to_index":1483,"sum":141628,"residue":8},{"from_index":1483,"to_index":1853,"sum":127742,"residue":722},{"from_index":1853,"to_index":3,"sum":134328,"residue":8}],"minimal_cycle":[722,8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":722,"start_interval_clock_positions":[3,373],"circle_positions":730,"cycle_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":[4,374,744,1114,1484,1854],"clock_positions":[4,374,744,1114,1484,1854],"native_values":[3,727,368,727,3,362],"rotation_degrees":0.6486486486486487,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,727,368,727,3,362],"beta":{"interval_sums":[128102,140538,134672,141268,128102,133968],"interval_residues":[352,378,352,378,352,378],"display_cycle":[352,378,352,378,352,378],"intervals":[{"from_index":4,"to_index":374,"sum":128102,"residue":352},{"from_index":374,"to_index":744,"sum":140538,"residue":378},{"from_index":744,"to_index":1114,"sum":134672,"residue":352},{"from_index":1114,"to_index":1484,"sum":141268,"residue":378},{"from_index":1484,"to_index":1854,"sum":128102,"residue":352},{"from_index":1854,"to_index":4,"sum":133968,"residue":378}],"minimal_cycle":[352,378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[4,374],"circle_positions":730,"cycle_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":[5,375,745,1115,1485,1855],"clock_positions":[5,375,745,1115,1485,1855],"native_values":[5,360,5,725,370,725],"rotation_degrees":0.8108108108108109,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,360,5,725,370,725],"beta":{"interval_sums":[128824,140546,135394,140546,128094,133246],"interval_residues":[344,386,344,386,344,386],"display_cycle":[344,386,344,386,344,386],"intervals":[{"from_index":5,"to_index":375,"sum":128824,"residue":344},{"from_index":375,"to_index":745,"sum":140546,"residue":386},{"from_index":745,"to_index":1115,"sum":135394,"residue":344},{"from_index":1115,"to_index":1485,"sum":140546,"residue":386},{"from_index":1485,"to_index":1855,"sum":128094,"residue":344},{"from_index":1855,"to_index":5,"sum":133246,"residue":386}],"minimal_cycle":[344,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":344,"start_interval_clock_positions":[5,375],"circle_positions":730,"cycle_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":[6,376,746,1116,1486,1856],"clock_positions":[6,376,746,1116,1486,1856],"native_values":[8,357,373,722,373,357],"rotation_degrees":0.972972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,357,373,722,373,357],"beta":{"interval_sums":[129176,140194,135746,140194,128446,132894],"interval_residues":[696,34,696,34,696,34],"display_cycle":[696,34,696,34,696,34],"intervals":[{"from_index":6,"to_index":376,"sum":129176,"residue":696},{"from_index":376,"to_index":746,"sum":140194,"residue":34},{"from_index":746,"to_index":1116,"sum":135746,"residue":696},{"from_index":1116,"to_index":1486,"sum":140194,"residue":34},{"from_index":1486,"to_index":1856,"sum":128446,"residue":696},{"from_index":1856,"to_index":6,"sum":132894,"residue":34}],"minimal_cycle":[696,34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":696,"start_interval_clock_positions":[6,376],"circle_positions":730,"cycle_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":[7,377,747,1117,1487,1857],"clock_positions":[7,377,747,1117,1487,1857],"native_values":[13,717,378,717,13,352],"rotation_degrees":1.135135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,717,378,717,13,352],"beta":{"interval_sums":[129520,139850,136090,139850,128790,132550],"interval_residues":[310,420,310,420,310,420],"display_cycle":[310,420,310,420,310,420],"intervals":[{"from_index":7,"to_index":377,"sum":129520,"residue":310},{"from_index":377,"to_index":747,"sum":139850,"residue":420},{"from_index":747,"to_index":1117,"sum":136090,"residue":310},{"from_index":1117,"to_index":1487,"sum":139850,"residue":420},{"from_index":1487,"to_index":1857,"sum":128790,"residue":310},{"from_index":1857,"to_index":7,"sum":132550,"residue":420}],"minimal_cycle":[310,420],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":310,"start_interval_clock_positions":[7,377],"circle_positions":730,"cycle_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":[8,378,748,1118,1488,1858],"clock_positions":[8,378,748,1118,1488,1858],"native_values":[21,344,21,709,386,709],"rotation_degrees":1.2972972972972974,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,344,21,709,386,709],"beta":{"interval_sums":[130216,139884,136786,139154,128756,131854],"interval_residues":[276,454,276,454,276,454],"display_cycle":[276,454,276,454,276,454],"intervals":[{"from_index":8,"to_index":378,"sum":130216,"residue":276},{"from_index":378,"to_index":748,"sum":139884,"residue":454},{"from_index":748,"to_index":1118,"sum":136786,"residue":276},{"from_index":1118,"to_index":1488,"sum":139154,"residue":454},{"from_index":1488,"to_index":1858,"sum":128756,"residue":276},{"from_index":1858,"to_index":8,"sum":131854,"residue":454}],"minimal_cycle":[276,454],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":276,"start_interval_clock_positions":[8,378],"circle_positions":730,"cycle_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":[9,379,749,1119,1489,1859],"clock_positions":[9,379,749,1119,1489,1859],"native_values":[34,331,399,696,399,331],"rotation_degrees":1.4594594594594594,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,331,399,696,399,331],"beta":{"interval_sums":[130526,139574,137096,138844,129066,131544],"interval_residues":[586,144,586,144,586,144],"display_cycle":[586,144,586,144,586,144],"intervals":[{"from_index":9,"to_index":379,"sum":130526,"residue":586},{"from_index":379,"to_index":749,"sum":139574,"residue":144},{"from_index":749,"to_index":1119,"sum":137096,"residue":586},{"from_index":1119,"to_index":1489,"sum":138844,"residue":144},{"from_index":1489,"to_index":1859,"sum":129066,"residue":586},{"from_index":1859,"to_index":9,"sum":131544,"residue":144}],"minimal_cycle":[586,144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[9,379],"circle_positions":730,"cycle_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":[10,380,750,1120,1490,1860],"clock_positions":[10,380,750,1120,1490,1860],"native_values":[55,675,420,675,55,310],"rotation_degrees":1.6216216216216217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,675,420,675,55,310],"beta":{"interval_sums":[130802,139298,137372,138568,129342,131268],"interval_residues":[132,598,132,598,132,598],"display_cycle":[132,598,132,598,132,598],"intervals":[{"from_index":10,"to_index":380,"sum":130802,"residue":132},{"from_index":380,"to_index":750,"sum":139298,"residue":598},{"from_index":750,"to_index":1120,"sum":137372,"residue":132},{"from_index":1120,"to_index":1490,"sum":138568,"residue":598},{"from_index":1490,"to_index":1860,"sum":129342,"residue":132},{"from_index":1860,"to_index":10,"sum":131268,"residue":598}],"minimal_cycle":[132,598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[10,380],"circle_positions":730,"cycle_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":[11,381,751,1121,1491,1861],"clock_positions":[11,381,751,1121,1491,1861],"native_values":[89,276,89,641,454,641],"rotation_degrees":1.7837837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,276,89,641,454,641],"beta":{"interval_sums":[131388,139442,137958,137982,129198,130682],"interval_residues":[718,12,718,12,718,12],"display_cycle":[718,12,718,12,718,12],"intervals":[{"from_index":11,"to_index":381,"sum":131388,"residue":718},{"from_index":381,"to_index":751,"sum":139442,"residue":12},{"from_index":751,"to_index":1121,"sum":137958,"residue":718},{"from_index":1121,"to_index":1491,"sum":137982,"residue":12},{"from_index":1491,"to_index":1861,"sum":129198,"residue":718},{"from_index":1861,"to_index":11,"sum":130682,"residue":12}],"minimal_cycle":[718,12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":718,"start_interval_clock_positions":[11,381],"circle_positions":730,"cycle_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":[12,382,752,1122,1492,1862],"clock_positions":[12,382,752,1122,1492,1862],"native_values":[144,221,509,586,509,221],"rotation_degrees":1.945945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,221,509,586,509,221],"beta":{"interval_sums":[131520,139310,138090,137850,129330,130550],"interval_residues":[120,610,120,610,120,610],"display_cycle":[120,610,120,610,120,610],"intervals":[{"from_index":12,"to_index":382,"sum":131520,"residue":120},{"from_index":382,"to_index":752,"sum":139310,"residue":610},{"from_index":752,"to_index":1122,"sum":138090,"residue":120},{"from_index":1122,"to_index":1492,"sum":137850,"residue":610},{"from_index":1492,"to_index":1862,"sum":129330,"residue":120},{"from_index":1862,"to_index":12,"sum":130550,"residue":610}],"minimal_cycle":[120,610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[12,382],"circle_positions":730,"cycle_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":[13,383,753,1123,1493,1863],"clock_positions":[13,383,753,1123,1493,1863],"native_values":[233,497,598,497,233,132],"rotation_degrees":2.108108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,497,598,497,233,132],"beta":{"interval_sums":[131508,139322,138078,137862,129318,130562],"interval_residues":[108,622,108,622,108,622],"display_cycle":[108,622,108,622,108,622],"intervals":[{"from_index":13,"to_index":383,"sum":131508,"residue":108},{"from_index":383,"to_index":753,"sum":139322,"residue":622},{"from_index":753,"to_index":1123,"sum":138078,"residue":108},{"from_index":1123,"to_index":1493,"sum":137862,"residue":622},{"from_index":1493,"to_index":1863,"sum":129318,"residue":108},{"from_index":1863,"to_index":13,"sum":130562,"residue":622}],"minimal_cycle":[108,622],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":108,"start_interval_clock_positions":[13,383],"circle_positions":730,"cycle_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":[14,384,754,1124,1494,1864],"clock_positions":[14,384,754,1124,1494,1864],"native_values":[377,718,377,353,12,353],"rotation_degrees":2.27027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,718,377,353,12,353],"beta":{"interval_sums":[131628,139202,138198,137742,129438,130442],"interval_residues":[228,502,228,502,228,502],"display_cycle":[228,502,228,502,228,502],"intervals":[{"from_index":14,"to_index":384,"sum":131628,"residue":228},{"from_index":384,"to_index":754,"sum":139202,"residue":502},{"from_index":754,"to_index":1124,"sum":138198,"residue":228},{"from_index":1124,"to_index":1494,"sum":137742,"residue":502},{"from_index":1494,"to_index":1864,"sum":129438,"residue":228},{"from_index":1864,"to_index":14,"sum":130442,"residue":502}],"minimal_cycle":[228,502],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[14,384],"circle_positions":730,"cycle_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":[15,385,755,1125,1495,1865],"clock_positions":[15,385,755,1125,1495,1865],"native_values":[610,485,245,120,245,485],"rotation_degrees":2.4324324324324325,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,485,245,120,245,485],"beta":{"interval_sums":[131736,139094,138306,137634,129546,130334],"interval_residues":[336,394,336,394,336,394],"display_cycle":[336,394,336,394,336,394],"intervals":[{"from_index":15,"to_index":385,"sum":131736,"residue":336},{"from_index":385,"to_index":755,"sum":139094,"residue":394},{"from_index":755,"to_index":1125,"sum":138306,"residue":336},{"from_index":1125,"to_index":1495,"sum":137634,"residue":394},{"from_index":1495,"to_index":1865,"sum":129546,"residue":336},{"from_index":1865,"to_index":15,"sum":130334,"residue":394}],"minimal_cycle":[336,394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[15,385],"circle_positions":730,"cycle_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":[16,386,756,1126,1496,1866],"clock_positions":[16,386,756,1126,1496,1866],"native_values":[257,473,622,473,257,108],"rotation_degrees":2.5945945945945947,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,473,622,473,257,108],"beta":{"interval_sums":[131964,138866,137804,137406,129774,130836],"interval_residues":[564,166,564,166,564,166],"display_cycle":[564,166,564,166,564,166],"intervals":[{"from_index":16,"to_index":386,"sum":131964,"residue":564},{"from_index":386,"to_index":756,"sum":138866,"residue":166},{"from_index":756,"to_index":1126,"sum":137804,"residue":564},{"from_index":1126,"to_index":1496,"sum":137406,"residue":166},{"from_index":1496,"to_index":1866,"sum":129774,"residue":564},{"from_index":1866,"to_index":16,"sum":130836,"residue":166}],"minimal_cycle":[564,166],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":564,"start_interval_clock_positions":[16,386],"circle_positions":730,"cycle_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":[17,387,757,1127,1497,1867],"clock_positions":[17,387,757,1127,1497,1867],"native_values":[137,228,137,593,502,593],"rotation_degrees":2.7567567567567566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,228,137,593,502,593],"beta":{"interval_sums":[132300,139260,138140,137070,129380,130500],"interval_residues":[170,560,170,560,170,560],"display_cycle":[170,560,170,560,170,560],"intervals":[{"from_index":17,"to_index":387,"sum":132300,"residue":170},{"from_index":387,"to_index":757,"sum":139260,"residue":560},{"from_index":757,"to_index":1127,"sum":138140,"residue":170},{"from_index":1127,"to_index":1497,"sum":137070,"residue":560},{"from_index":1497,"to_index":1867,"sum":129380,"residue":170},{"from_index":1867,"to_index":17,"sum":130500,"residue":560}],"minimal_cycle":[170,560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[17,387],"circle_positions":730,"cycle_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":[18,388,758,1128,1498,1868],"clock_positions":[18,388,758,1128,1498,1868],"native_values":[394,701,29,336,29,701],"rotation_degrees":2.918918918918919,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[394,701,29,336,29,701],"beta":{"interval_sums":[132134,138696,138704,137236,129944,129936],"interval_residues":[4,726,4,726,4,726],"display_cycle":[4,726,4,726,4,726],"intervals":[{"from_index":18,"to_index":388,"sum":132134,"residue":4},{"from_index":388,"to_index":758,"sum":138696,"residue":726},{"from_index":758,"to_index":1128,"sum":138704,"residue":4},{"from_index":1128,"to_index":1498,"sum":137236,"residue":726},{"from_index":1498,"to_index":1868,"sum":129944,"residue":4},{"from_index":1868,"to_index":18,"sum":129936,"residue":726}],"minimal_cycle":[4,726],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[18,388],"circle_positions":730,"cycle_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":[19,389,759,1129,1499,1869],"clock_positions":[19,389,759,1129,1499,1869],"native_values":[531,199,166,199,531,564],"rotation_degrees":3.081081081081081,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[531,199,166,199,531,564],"beta":{"interval_sums":[132304,138526,138874,137066,130114,129766],"interval_residues":[174,556,174,556,174,556],"display_cycle":[174,556,174,556,174,556],"intervals":[{"from_index":19,"to_index":389,"sum":132304,"residue":174},{"from_index":389,"to_index":759,"sum":138526,"residue":556},{"from_index":759,"to_index":1129,"sum":138874,"residue":174},{"from_index":1129,"to_index":1499,"sum":137066,"residue":556},{"from_index":1499,"to_index":1869,"sum":130114,"residue":174},{"from_index":1869,"to_index":19,"sum":129766,"residue":556}],"minimal_cycle":[174,556],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[19,389],"circle_positions":730,"cycle_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":[20,390,760,1130,1500,1870],"clock_positions":[20,390,760,1130,1500,1870],"native_values":[195,170,195,535,560,535],"rotation_degrees":3.2432432432432434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,170,195,535,560,535],"beta":{"interval_sums":[132308,138522,138878,137062,130118,129762],"interval_residues":[178,552,178,552,178,552],"display_cycle":[178,552,178,552,178,552],"intervals":[{"from_index":20,"to_index":390,"sum":132308,"residue":178},{"from_index":390,"to_index":760,"sum":138522,"residue":552},{"from_index":760,"to_index":1130,"sum":138878,"residue":178},{"from_index":1130,"to_index":1500,"sum":137062,"residue":552},{"from_index":1500,"to_index":1870,"sum":130118,"residue":178},{"from_index":1870,"to_index":20,"sum":129762,"residue":552}],"minimal_cycle":[178,552],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":178,"start_interval_clock_positions":[20,390],"circle_positions":730,"cycle_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":[21,391,761,1131,1501,1871],"clock_positions":[21,391,761,1131,1501,1871],"native_values":[726,369,361,4,361,369],"rotation_degrees":3.4054054054054053,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[726,369,361,4,361,369],"beta":{"interval_sums":[131752,138348,139052,137618,130292,129588],"interval_residues":[352,378,352,378,352,378],"display_cycle":[352,378,352,378,352,378],"intervals":[{"from_index":21,"to_index":391,"sum":131752,"residue":352},{"from_index":391,"to_index":761,"sum":138348,"residue":378},{"from_index":761,"to_index":1131,"sum":139052,"residue":352},{"from_index":1131,"to_index":1501,"sum":137618,"residue":378},{"from_index":1501,"to_index":1871,"sum":130292,"residue":352},{"from_index":1871,"to_index":21,"sum":129588,"residue":378}],"minimal_cycle":[352,378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[21,391],"circle_positions":730,"cycle_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":[22,392,762,1132,1502,1872],"clock_positions":[22,392,762,1132,1502,1872],"native_values":[191,539,556,539,191,174],"rotation_degrees":3.5675675675675675,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[191,539,556,539,191,174],"beta":{"interval_sums":[131930,138170,138500,137440,130470,130140],"interval_residues":[530,200,530,200,530,200],"display_cycle":[530,200,530,200,530,200],"intervals":[{"from_index":22,"to_index":392,"sum":131930,"residue":530},{"from_index":392,"to_index":762,"sum":138170,"residue":200},{"from_index":762,"to_index":1132,"sum":138500,"residue":530},{"from_index":1132,"to_index":1502,"sum":137440,"residue":200},{"from_index":1502,"to_index":1872,"sum":130470,"residue":530},{"from_index":1872,"to_index":22,"sum":130140,"residue":200}],"minimal_cycle":[530,200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[22,392],"circle_positions":730,"cycle_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":[23,393,763,1133,1503,1873],"clock_positions":[23,393,763,1133,1503,1873],"native_values":[187,178,187,543,552,543],"rotation_degrees":3.72972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[187,178,187,543,552,543],"beta":{"interval_sums":[132282,138548,138852,137088,130092,129788],"interval_residues":[152,578,152,578,152,578],"display_cycle":[152,578,152,578,152,578],"intervals":[{"from_index":23,"to_index":393,"sum":132282,"residue":152},{"from_index":393,"to_index":763,"sum":138548,"residue":578},{"from_index":763,"to_index":1133,"sum":138852,"residue":152},{"from_index":1133,"to_index":1503,"sum":137088,"residue":578},{"from_index":1503,"to_index":1873,"sum":130092,"residue":152},{"from_index":1873,"to_index":23,"sum":129788,"residue":578}],"minimal_cycle":[152,578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":152,"start_interval_clock_positions":[23,393],"circle_positions":730,"cycle_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":[24,394,764,1134,1504,1874],"clock_positions":[24,394,764,1134,1504,1874],"native_values":[378,717,13,352,13,717],"rotation_degrees":3.891891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[378,717,13,352,13,717],"beta":{"interval_sums":[132082,138018,139382,137288,130622,129258],"interval_residues":[682,48,682,48,682,48],"display_cycle":[682,48,682,48,682,48],"intervals":[{"from_index":24,"to_index":394,"sum":132082,"residue":682},{"from_index":394,"to_index":764,"sum":138018,"residue":48},{"from_index":764,"to_index":1134,"sum":139382,"residue":682},{"from_index":1134,"to_index":1504,"sum":137288,"residue":48},{"from_index":1504,"to_index":1874,"sum":130622,"residue":682},{"from_index":1874,"to_index":24,"sum":129258,"residue":48}],"minimal_cycle":[682,48],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":682,"start_interval_clock_positions":[24,394],"circle_positions":730,"cycle_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":[25,395,765,1135,1505,1875],"clock_positions":[25,395,765,1135,1505,1875],"native_values":[565,165,200,165,565,530],"rotation_degrees":4.054054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,165,200,165,565,530],"beta":{"interval_sums":[132234,137866,139534,137136,130774,129106],"interval_residues":[104,626,104,626,104,626],"display_cycle":[104,626,104,626,104,626],"intervals":[{"from_index":25,"to_index":395,"sum":132234,"residue":104},{"from_index":395,"to_index":765,"sum":137866,"residue":626},{"from_index":765,"to_index":1135,"sum":139534,"residue":104},{"from_index":1135,"to_index":1505,"sum":137136,"residue":626},{"from_index":1505,"to_index":1875,"sum":130774,"residue":104},{"from_index":1875,"to_index":25,"sum":129106,"residue":626}],"minimal_cycle":[104,626],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":104,"start_interval_clock_positions":[25,395],"circle_positions":730,"cycle_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":[26,396,766,1136,1506,1876],"clock_positions":[26,396,766,1136,1506,1876],"native_values":[213,152,213,517,578,517],"rotation_degrees":4.216216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,152,213,517,578,517],"beta":{"interval_sums":[132186,137914,139486,137184,130726,129154],"interval_residues":[56,674,56,674,56,674],"display_cycle":[56,674,56,674,56,674],"intervals":[{"from_index":26,"to_index":396,"sum":132186,"residue":56},{"from_index":396,"to_index":766,"sum":137914,"residue":674},{"from_index":766,"to_index":1136,"sum":139486,"residue":56},{"from_index":1136,"to_index":1506,"sum":137184,"residue":674},{"from_index":1506,"to_index":1876,"sum":130726,"residue":56},{"from_index":1876,"to_index":26,"sum":129154,"residue":674}],"minimal_cycle":[56,674],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":56,"start_interval_clock_positions":[26,396],"circle_positions":730,"cycle_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":[27,397,767,1137,1507,1877],"clock_positions":[27,397,767,1137,1507,1877],"native_values":[48,317,413,682,413,317],"rotation_degrees":4.378378378378378,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[48,317,413,682,413,317],"beta":{"interval_sums":[132290,137810,139590,137080,130830,129050],"interval_residues":[160,570,160,570,160,570],"display_cycle":[160,570,160,570,160,570],"intervals":[{"from_index":27,"to_index":397,"sum":132290,"residue":160},{"from_index":397,"to_index":767,"sum":137810,"residue":570},{"from_index":767,"to_index":1137,"sum":139590,"residue":160},{"from_index":1137,"to_index":1507,"sum":137080,"residue":570},{"from_index":1507,"to_index":1877,"sum":130830,"residue":160},{"from_index":1877,"to_index":27,"sum":129050,"residue":570}],"minimal_cycle":[160,570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":160,"start_interval_clock_positions":[27,397],"circle_positions":730,"cycle_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":[28,398,768,1138,1508,1878],"clock_positions":[28,398,768,1138,1508,1878],"native_values":[261,469,626,469,261,104],"rotation_degrees":4.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,469,626,469,261,104],"beta":{"interval_sums":[132346,137754,139646,137024,130886,128994],"interval_residues":[216,514,216,514,216,514],"display_cycle":[216,514,216,514,216,514],"intervals":[{"from_index":28,"to_index":398,"sum":132346,"residue":216},{"from_index":398,"to_index":768,"sum":137754,"residue":514},{"from_index":768,"to_index":1138,"sum":139646,"residue":216},{"from_index":1138,"to_index":1508,"sum":137024,"residue":514},{"from_index":1508,"to_index":1878,"sum":130886,"residue":216},{"from_index":1878,"to_index":28,"sum":128994,"residue":514}],"minimal_cycle":[216,514],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[28,398],"circle_positions":730,"cycle_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":[29,399,769,1139,1509,1879],"clock_positions":[29,399,769,1139,1509,1879],"native_values":[309,56,309,421,674,421],"rotation_degrees":4.702702702702703,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,56,309,421,674,421],"beta":{"interval_sums":[132506,138324,139806,136864,130316,128834],"interval_residues":[376,354,376,354,376,354],"display_cycle":[376,354,376,354,376,354],"intervals":[{"from_index":29,"to_index":399,"sum":132506,"residue":376},{"from_index":399,"to_index":769,"sum":138324,"residue":354},{"from_index":769,"to_index":1139,"sum":139806,"residue":376},{"from_index":1139,"to_index":1509,"sum":136864,"residue":354},{"from_index":1509,"to_index":1879,"sum":130316,"residue":376},{"from_index":1879,"to_index":29,"sum":128834,"residue":354}],"minimal_cycle":[376,354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":376,"start_interval_clock_positions":[29,399],"circle_positions":730,"cycle_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":[30,400,770,1140,1510,1880],"clock_positions":[30,400,770,1140,1510,1880],"native_values":[570,525,205,160,205,525],"rotation_degrees":4.864864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[570,525,205,160,205,525],"beta":{"interval_sums":[131992,138108,140022,137378,130532,128618],"interval_residues":[592,138,592,138,592,138],"display_cycle":[592,138,592,138,592,138],"intervals":[{"from_index":30,"to_index":400,"sum":131992,"residue":592},{"from_index":400,"to_index":770,"sum":138108,"residue":138},{"from_index":770,"to_index":1140,"sum":140022,"residue":592},{"from_index":1140,"to_index":1510,"sum":137378,"residue":138},{"from_index":1510,"to_index":1880,"sum":130532,"residue":592},{"from_index":1880,"to_index":30,"sum":128618,"residue":138}],"minimal_cycle":[592,138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":592,"start_interval_clock_positions":[30,400],"circle_positions":730,"cycle_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":[31,401,771,1141,1511,1881],"clock_positions":[31,401,771,1141,1511,1881],"native_values":[149,581,514,581,149,216],"rotation_degrees":5.027027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,581,514,581,149,216],"beta":{"interval_sums":[132368,137732,139668,137002,130908,128972],"interval_residues":[238,492,238,492,238,492],"display_cycle":[238,492,238,492,238,492],"intervals":[{"from_index":31,"to_index":401,"sum":132368,"residue":238},{"from_index":401,"to_index":771,"sum":137732,"residue":492},{"from_index":771,"to_index":1141,"sum":139668,"residue":238},{"from_index":1141,"to_index":1511,"sum":137002,"residue":492},{"from_index":1511,"to_index":1881,"sum":130908,"residue":238},{"from_index":1881,"to_index":31,"sum":128972,"residue":492}],"minimal_cycle":[238,492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":238,"start_interval_clock_positions":[31,401],"circle_positions":730,"cycle_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":[32,402,772,1142,1512,1882],"clock_positions":[32,402,772,1142,1512,1882],"native_values":[719,376,719,11,354,11],"rotation_degrees":5.1891891891891895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[719,376,719,11,354,11],"beta":{"interval_sums":[132230,137870,139530,137140,130770,129110],"interval_residues":[100,630,100,630,100,630],"display_cycle":[100,630,100,630,100,630],"intervals":[{"from_index":32,"to_index":402,"sum":132230,"residue":100},{"from_index":402,"to_index":772,"sum":137870,"residue":630},{"from_index":772,"to_index":1142,"sum":139530,"residue":100},{"from_index":1142,"to_index":1512,"sum":137140,"residue":630},{"from_index":1512,"to_index":1882,"sum":130770,"residue":100},{"from_index":1882,"to_index":32,"sum":129110,"residue":630}],"minimal_cycle":[100,630],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":100,"start_interval_clock_positions":[32,402],"circle_positions":730,"cycle_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":[33,403,773,1143,1513,1883],"clock_positions":[33,403,773,1143,1513,1883],"native_values":[138,227,503,592,503,227],"rotation_degrees":5.351351351351352,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[138,227,503,592,503,227],"beta":{"interval_sums":[132468,138362,139038,136902,130278,129602],"interval_residues":[338,392,338,392,338,392],"display_cycle":[338,392,338,392,338,392],"intervals":[{"from_index":33,"to_index":403,"sum":132468,"residue":338},{"from_index":403,"to_index":773,"sum":138362,"residue":392},{"from_index":773,"to_index":1143,"sum":139038,"residue":338},{"from_index":1143,"to_index":1513,"sum":136902,"residue":392},{"from_index":1513,"to_index":1883,"sum":130278,"residue":338},{"from_index":1883,"to_index":33,"sum":129602,"residue":392}],"minimal_cycle":[338,392],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[33,403],"circle_positions":730,"cycle_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":[34,404,774,1144,1514,1884],"clock_positions":[34,404,774,1144,1514,1884],"native_values":[127,603,492,603,127,238],"rotation_degrees":5.513513513513513,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,603,492,603,127,238],"beta":{"interval_sums":[132568,138262,139138,136802,130378,129502],"interval_residues":[438,292,438,292,438,292],"display_cycle":[438,292,438,292,438,292],"intervals":[{"from_index":34,"to_index":404,"sum":132568,"residue":438},{"from_index":404,"to_index":774,"sum":138262,"residue":292},{"from_index":774,"to_index":1144,"sum":139138,"residue":438},{"from_index":1144,"to_index":1514,"sum":136802,"residue":292},{"from_index":1514,"to_index":1884,"sum":130378,"residue":438},{"from_index":1884,"to_index":34,"sum":129502,"residue":292}],"minimal_cycle":[438,292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":438,"start_interval_clock_positions":[34,404],"circle_positions":730,"cycle_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":[35,405,775,1145,1515,1885],"clock_positions":[35,405,775,1145,1515,1885],"native_values":[265,100,265,465,630,465],"rotation_degrees":5.675675675675675,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,100,265,465,630,465],"beta":{"interval_sums":[132906,138654,139476,136464,129986,129164],"interval_residues":[46,684,46,684,46,684],"display_cycle":[46,684,46,684,46,684],"intervals":[{"from_index":35,"to_index":405,"sum":132906,"residue":46},{"from_index":405,"to_index":775,"sum":138654,"residue":684},{"from_index":775,"to_index":1145,"sum":139476,"residue":46},{"from_index":1145,"to_index":1515,"sum":136464,"residue":684},{"from_index":1515,"to_index":1885,"sum":129986,"residue":46},{"from_index":1885,"to_index":35,"sum":129164,"residue":684}],"minimal_cycle":[46,684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[35,405],"circle_positions":730,"cycle_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":[36,406,776,1146,1516,1886],"clock_positions":[36,406,776,1146,1516,1886],"native_values":[392,703,27,338,27,703],"rotation_degrees":5.837837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[392,703,27,338,27,703],"beta":{"interval_sums":[132614,138216,139914,136756,130424,128726],"interval_residues":[484,246,484,246,484,246],"display_cycle":[484,246,484,246,484,246],"intervals":[{"from_index":36,"to_index":406,"sum":132614,"residue":484},{"from_index":406,"to_index":776,"sum":138216,"residue":246},{"from_index":776,"to_index":1146,"sum":139914,"residue":484},{"from_index":1146,"to_index":1516,"sum":136756,"residue":246},{"from_index":1516,"to_index":1886,"sum":130424,"residue":484},{"from_index":1886,"to_index":36,"sum":128726,"residue":246}],"minimal_cycle":[484,246],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":484,"start_interval_clock_positions":[36,406],"circle_positions":730,"cycle_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":[37,407,777,1147,1517,1887],"clock_positions":[37,407,777,1147,1517,1887],"native_values":[657,73,292,73,657,438],"rotation_degrees":6.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,73,292,73,657,438],"beta":{"interval_sums":[132660,138170,139960,136710,130470,128680],"interval_residues":[530,200,530,200,530,200],"display_cycle":[530,200,530,200,530,200],"intervals":[{"from_index":37,"to_index":407,"sum":132660,"residue":530},{"from_index":407,"to_index":777,"sum":138170,"residue":200},{"from_index":777,"to_index":1147,"sum":139960,"residue":530},{"from_index":1147,"to_index":1517,"sum":136710,"residue":200},{"from_index":1517,"to_index":1887,"sum":130470,"residue":530},{"from_index":1887,"to_index":37,"sum":128680,"residue":200}],"minimal_cycle":[530,200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[37,407],"circle_positions":730,"cycle_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":[38,408,778,1148,1518,1888],"clock_positions":[38,408,778,1148,1518,1888],"native_values":[319,46,319,411,684,411],"rotation_degrees":6.162162162162162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[319,46,319,411,684,411],"beta":{"interval_sums":[132414,138416,139714,136956,130224,128926],"interval_residues":[284,446,284,446,284,446],"display_cycle":[284,446,284,446,284,446],"intervals":[{"from_index":38,"to_index":408,"sum":132414,"residue":284},{"from_index":408,"to_index":778,"sum":138416,"residue":446},{"from_index":778,"to_index":1148,"sum":139714,"residue":284},{"from_index":1148,"to_index":1518,"sum":136956,"residue":446},{"from_index":1518,"to_index":1888,"sum":130224,"residue":284},{"from_index":1888,"to_index":38,"sum":128926,"residue":446}],"minimal_cycle":[284,446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":284,"start_interval_clock_positions":[38,408],"circle_positions":730,"cycle_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":[39,409,779,1149,1519,1889],"clock_positions":[39,409,779,1149,1519,1889],"native_values":[246,119,611,484,611,119],"rotation_degrees":6.324324324324325,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[246,119,611,484,611,119],"beta":{"interval_sums":[132214,138616,139514,137156,130024,129126],"interval_residues":[84,646,84,646,84,646],"display_cycle":[84,646,84,646,84,646],"intervals":[{"from_index":39,"to_index":409,"sum":132214,"residue":84},{"from_index":409,"to_index":779,"sum":138616,"residue":646},{"from_index":779,"to_index":1149,"sum":139514,"residue":84},{"from_index":1149,"to_index":1519,"sum":137156,"residue":646},{"from_index":1519,"to_index":1889,"sum":130024,"residue":84},{"from_index":1889,"to_index":39,"sum":129126,"residue":646}],"minimal_cycle":[84,646],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[39,409],"circle_positions":730,"cycle_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":[40,410,780,1150,1520,1890],"clock_positions":[40,410,780,1150,1520,1890],"native_values":[565,165,200,165,565,530],"rotation_degrees":6.486486486486487,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,165,200,165,565,530],"beta":{"interval_sums":[131768,139062,139798,137602,129578,128842],"interval_residues":[368,362,368,362,368,362],"display_cycle":[368,362,368,362,368,362],"intervals":[{"from_index":40,"to_index":410,"sum":131768,"residue":368},{"from_index":410,"to_index":780,"sum":139062,"residue":362},{"from_index":780,"to_index":1150,"sum":139798,"residue":368},{"from_index":1150,"to_index":1520,"sum":137602,"residue":362},{"from_index":1520,"to_index":1890,"sum":129578,"residue":368},{"from_index":1890,"to_index":40,"sum":128842,"residue":362}],"minimal_cycle":[368,362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":368,"start_interval_clock_positions":[40,410],"circle_positions":730,"cycle_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":[41,411,781,1151,1521,1891],"clock_positions":[41,411,781,1151,1521,1891],"native_values":[81,284,81,649,446,649],"rotation_degrees":6.648648648648648,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,284,81,649,446,649],"beta":{"interval_sums":[131852,138978,139882,137518,129662,128758],"interval_residues":[452,278,452,278,452,278],"display_cycle":[452,278,452,278,452,278],"intervals":[{"from_index":41,"to_index":411,"sum":131852,"residue":452},{"from_index":411,"to_index":781,"sum":138978,"residue":278},{"from_index":781,"to_index":1151,"sum":139882,"residue":452},{"from_index":1151,"to_index":1521,"sum":137518,"residue":278},{"from_index":1521,"to_index":1891,"sum":129662,"residue":452},{"from_index":1891,"to_index":41,"sum":128758,"residue":278}],"minimal_cycle":[452,278],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[41,411],"circle_positions":730,"cycle_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":[42,412,782,1152,1522,1892],"clock_positions":[42,412,782,1152,1522,1892],"native_values":[646,449,281,84,281,449],"rotation_degrees":6.8108108108108105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[646,449,281,84,281,449],"beta":{"interval_sums":[131490,138610,140250,137880,130030,128390],"interval_residues":[90,640,90,640,90,640],"display_cycle":[90,640,90,640,90,640],"intervals":[{"from_index":42,"to_index":412,"sum":131490,"residue":90},{"from_index":412,"to_index":782,"sum":138610,"residue":640},{"from_index":782,"to_index":1152,"sum":140250,"residue":90},{"from_index":1152,"to_index":1522,"sum":137880,"residue":640},{"from_index":1522,"to_index":1892,"sum":130030,"residue":90},{"from_index":1892,"to_index":42,"sum":128390,"residue":640}],"minimal_cycle":[90,640],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[42,412],"circle_positions":730,"cycle_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":[43,413,783,1153,1523,1893],"clock_positions":[43,413,783,1153,1523,1893],"native_values":[727,3,362,3,727,368],"rotation_degrees":6.972972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[727,3,362,3,727,368],"beta":{"interval_sums":[131212,138888,139972,138158,129752,128668],"interval_residues":[542,188,542,188,542,188],"display_cycle":[542,188,542,188,542,188],"intervals":[{"from_index":43,"to_index":413,"sum":131212,"residue":542},{"from_index":413,"to_index":783,"sum":138888,"residue":188},{"from_index":783,"to_index":1153,"sum":139972,"residue":542},{"from_index":1153,"to_index":1523,"sum":138158,"residue":188},{"from_index":1523,"to_index":1893,"sum":129752,"residue":542},{"from_index":1893,"to_index":43,"sum":128668,"residue":188}],"minimal_cycle":[542,188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[43,413],"circle_positions":730,"cycle_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":[44,414,784,1154,1524,1894],"clock_positions":[44,414,784,1154,1524,1894],"native_values":[643,452,643,87,278,87],"rotation_degrees":7.135135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[643,452,643,87,278,87],"beta":{"interval_sums":[130572,138798,139332,138798,129842,129308],"interval_residues":[632,98,632,98,632,98],"display_cycle":[632,98,632,98,632,98],"intervals":[{"from_index":44,"to_index":414,"sum":130572,"residue":632},{"from_index":414,"to_index":784,"sum":138798,"residue":98},{"from_index":784,"to_index":1154,"sum":139332,"residue":632},{"from_index":1154,"to_index":1524,"sum":138798,"residue":98},{"from_index":1524,"to_index":1894,"sum":129842,"residue":632},{"from_index":1894,"to_index":44,"sum":129308,"residue":98}],"minimal_cycle":[632,98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":632,"start_interval_clock_positions":[44,414],"circle_positions":730,"cycle_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":[45,415,785,1155,1525,1895],"clock_positions":[45,415,785,1155,1525,1895],"native_values":[640,455,275,90,275,455],"rotation_degrees":7.297297297297297,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[640,455,275,90,275,455],"beta":{"interval_sums":[130384,138986,139144,138986,129654,129496],"interval_residues":[444,286,444,286,444,286],"display_cycle":[444,286,444,286,444,286],"intervals":[{"from_index":45,"to_index":415,"sum":130384,"residue":444},{"from_index":415,"to_index":785,"sum":138986,"residue":286},{"from_index":785,"to_index":1155,"sum":139144,"residue":444},{"from_index":1155,"to_index":1525,"sum":138986,"residue":286},{"from_index":1525,"to_index":1895,"sum":129654,"residue":444},{"from_index":1895,"to_index":45,"sum":129496,"residue":286}],"minimal_cycle":[444,286],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[45,415],"circle_positions":730,"cycle_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":[46,416,786,1156,1526,1896],"clock_positions":[46,416,786,1156,1526,1896],"native_values":[553,177,188,177,553,542],"rotation_degrees":7.45945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[553,177,188,177,553,542],"beta":{"interval_sums":[130286,139084,139046,139084,129556,129594],"interval_residues":[346,384,346,384,346,384],"display_cycle":[346,384,346,384,346,384],"intervals":[{"from_index":46,"to_index":416,"sum":130286,"residue":346},{"from_index":416,"to_index":786,"sum":139084,"residue":384},{"from_index":786,"to_index":1156,"sum":139046,"residue":346},{"from_index":1156,"to_index":1526,"sum":139084,"residue":384},{"from_index":1526,"to_index":1896,"sum":129556,"residue":346},{"from_index":1896,"to_index":46,"sum":129594,"residue":384}],"minimal_cycle":[346,384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[46,416],"circle_positions":730,"cycle_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":[47,417,787,1157,1527,1897],"clock_positions":[47,417,787,1157,1527,1897],"native_values":[463,632,463,267,98,267],"rotation_degrees":7.621621621621622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[463,632,463,267,98,267],"beta":{"interval_sums":[130000,138640,138760,139370,130000,129880],"interval_residues":[60,670,60,670,60,670],"display_cycle":[60,670,60,670,60,670],"intervals":[{"from_index":47,"to_index":417,"sum":130000,"residue":60},{"from_index":417,"to_index":787,"sum":138640,"residue":670},{"from_index":787,"to_index":1157,"sum":138760,"residue":60},{"from_index":1157,"to_index":1527,"sum":139370,"residue":670},{"from_index":1527,"to_index":1897,"sum":130000,"residue":60},{"from_index":1897,"to_index":47,"sum":129880,"residue":670}],"minimal_cycle":[60,670],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[47,417],"circle_positions":730,"cycle_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":[48,418,788,1158,1528,1898],"clock_positions":[48,418,788,1158,1528,1898],"native_values":[286,79,651,444,651,79],"rotation_degrees":7.783783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[286,79,651,444,651,79],"beta":{"interval_sums":[130346,139024,138376,139024,129616,130264],"interval_residues":[406,324,406,324,406,324],"display_cycle":[406,324,406,324,406,324],"intervals":[{"from_index":48,"to_index":418,"sum":130346,"residue":406},{"from_index":418,"to_index":788,"sum":139024,"residue":324},{"from_index":788,"to_index":1158,"sum":138376,"residue":406},{"from_index":1158,"to_index":1528,"sum":139024,"residue":324},{"from_index":1528,"to_index":1898,"sum":129616,"residue":406},{"from_index":1898,"to_index":48,"sum":130264,"residue":324}],"minimal_cycle":[406,324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[48,418],"circle_positions":730,"cycle_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":[49,419,789,1159,1529,1899],"clock_positions":[49,419,789,1159,1529,1899],"native_values":[19,711,384,711,19,346],"rotation_degrees":7.945945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[19,711,384,711,19,346],"beta":{"interval_sums":[130406,138964,138436,138964,129676,130204],"interval_residues":[466,264,466,264,466,264],"display_cycle":[466,264,466,264,466,264],"intervals":[{"from_index":49,"to_index":419,"sum":130406,"residue":466},{"from_index":419,"to_index":789,"sum":138964,"residue":264},{"from_index":789,"to_index":1159,"sum":138436,"residue":466},{"from_index":1159,"to_index":1529,"sum":138964,"residue":264},{"from_index":1529,"to_index":1899,"sum":129676,"residue":466},{"from_index":1899,"to_index":49,"sum":130204,"residue":264}],"minimal_cycle":[466,264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[49,419],"circle_positions":730,"cycle_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":[50,420,790,1160,1530,1900],"clock_positions":[50,420,790,1160,1530,1900],"native_values":[305,60,305,425,670,425],"rotation_degrees":8.108108108108109,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,60,305,425,670,425],"beta":{"interval_sums":[130812,139288,138842,138558,129352,129798],"interval_residues":[142,588,142,588,142,588],"display_cycle":[142,588,142,588,142,588],"intervals":[{"from_index":50,"to_index":420,"sum":130812,"residue":142},{"from_index":420,"to_index":790,"sum":139288,"residue":588},{"from_index":790,"to_index":1160,"sum":138842,"residue":142},{"from_index":1160,"to_index":1530,"sum":138558,"residue":588},{"from_index":1530,"to_index":1900,"sum":129352,"residue":142},{"from_index":1900,"to_index":50,"sum":129798,"residue":588}],"minimal_cycle":[142,588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":142,"start_interval_clock_positions":[50,420],"circle_positions":730,"cycle_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":[51,421,791,1161,1531,1901],"clock_positions":[51,421,791,1161,1531,1901],"native_values":[324,41,689,406,689,41],"rotation_degrees":8.27027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[324,41,689,406,689,41],"beta":{"interval_sums":[130548,139552,138578,138822,129088,130062],"interval_residues":[608,122,608,122,608,122],"display_cycle":[608,122,608,122,608,122],"intervals":[{"from_index":51,"to_index":421,"sum":130548,"residue":608},{"from_index":421,"to_index":791,"sum":139552,"residue":122},{"from_index":791,"to_index":1161,"sum":138578,"residue":608},{"from_index":1161,"to_index":1531,"sum":138822,"residue":122},{"from_index":1531,"to_index":1901,"sum":129088,"residue":608},{"from_index":1901,"to_index":51,"sum":130062,"residue":122}],"minimal_cycle":[608,122],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":608,"start_interval_clock_positions":[51,421],"circle_positions":730,"cycle_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":[52,422,792,1162,1532,1902],"clock_positions":[52,422,792,1162,1532,1902],"native_values":[629,101,264,101,629,466],"rotation_degrees":8.432432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[629,101,264,101,629,466],"beta":{"interval_sums":[129960,140140,138720,139410,128500,129920],"interval_residues":[20,710,20,710,20,710],"display_cycle":[20,710,20,710,20,710],"intervals":[{"from_index":52,"to_index":422,"sum":129960,"residue":20},{"from_index":422,"to_index":792,"sum":140140,"residue":710},{"from_index":792,"to_index":1162,"sum":138720,"residue":20},{"from_index":1162,"to_index":1532,"sum":139410,"residue":710},{"from_index":1532,"to_index":1902,"sum":128500,"residue":20},{"from_index":1902,"to_index":52,"sum":129920,"residue":710}],"minimal_cycle":[20,710],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":20,"start_interval_clock_positions":[52,422],"circle_positions":730,"cycle_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":[53,423,793,1163,1533,1903],"clock_positions":[53,423,793,1163,1533,1903],"native_values":[223,142,223,507,588,507],"rotation_degrees":8.594594594594595,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,142,223,507,588,507],"beta":{"interval_sums":[129838,140262,138598,139532,128378,130042],"interval_residues":[628,102,628,102,628,102],"display_cycle":[628,102,628,102,628,102],"intervals":[{"from_index":53,"to_index":423,"sum":129838,"residue":628},{"from_index":423,"to_index":793,"sum":140262,"residue":102},{"from_index":793,"to_index":1163,"sum":138598,"residue":628},{"from_index":1163,"to_index":1533,"sum":139532,"residue":102},{"from_index":1533,"to_index":1903,"sum":128378,"residue":628},{"from_index":1903,"to_index":53,"sum":130042,"residue":102}],"minimal_cycle":[628,102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[53,423],"circle_positions":730,"cycle_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":[54,424,794,1164,1534,1904],"clock_positions":[54,424,794,1164,1534,1904],"native_values":[122,243,487,608,487,243],"rotation_degrees":8.756756756756756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[122,243,487,608,487,243],"beta":{"interval_sums":[129858,140242,138618,139512,128398,130022],"interval_residues":[648,82,648,82,648,82],"display_cycle":[648,82,648,82,648,82],"intervals":[{"from_index":54,"to_index":424,"sum":129858,"residue":648},{"from_index":424,"to_index":794,"sum":140242,"residue":82},{"from_index":794,"to_index":1164,"sum":138618,"residue":648},{"from_index":1164,"to_index":1534,"sum":139512,"residue":82},{"from_index":1534,"to_index":1904,"sum":128398,"residue":648},{"from_index":1904,"to_index":54,"sum":130022,"residue":82}],"minimal_cycle":[648,82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":648,"start_interval_clock_positions":[54,424],"circle_positions":730,"cycle_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":[55,425,795,1165,1535,1905],"clock_positions":[55,425,795,1165,1535,1905],"native_values":[345,385,710,385,345,20],"rotation_degrees":8.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,385,710,385,345,20],"beta":{"interval_sums":[129756,140344,138516,139614,128296,130124],"interval_residues":[546,184,546,184,546,184],"display_cycle":[546,184,546,184,546,184],"intervals":[{"from_index":55,"to_index":425,"sum":129756,"residue":546},{"from_index":425,"to_index":795,"sum":140344,"residue":184},{"from_index":795,"to_index":1165,"sum":138516,"residue":546},{"from_index":1165,"to_index":1535,"sum":139614,"residue":184},{"from_index":1535,"to_index":1905,"sum":128296,"residue":546},{"from_index":1905,"to_index":55,"sum":130124,"residue":184}],"minimal_cycle":[546,184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":546,"start_interval_clock_positions":[55,425],"circle_positions":730,"cycle_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":[56,426,796,1166,1536,1906],"clock_positions":[56,426,796,1166,1536,1906],"native_values":[467,628,467,263,102,263],"rotation_degrees":9.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[467,628,467,263,102,263],"beta":{"interval_sums":[129674,140426,138434,139696,128214,130206],"interval_residues":[464,266,464,266,464,266],"display_cycle":[464,266,464,266,464,266],"intervals":[{"from_index":56,"to_index":426,"sum":129674,"residue":464},{"from_index":426,"to_index":796,"sum":140426,"residue":266},{"from_index":796,"to_index":1166,"sum":138434,"residue":464},{"from_index":1166,"to_index":1536,"sum":139696,"residue":266},{"from_index":1536,"to_index":1906,"sum":128214,"residue":464},{"from_index":1906,"to_index":56,"sum":130206,"residue":266}],"minimal_cycle":[464,266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":464,"start_interval_clock_positions":[56,426],"circle_positions":730,"cycle_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":[57,427,797,1167,1537,1907],"clock_positions":[57,427,797,1167,1537,1907],"native_values":[82,283,447,648,447,283],"rotation_degrees":9.243243243243244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[82,283,447,648,447,283],"beta":{"interval_sums":[130220,140610,138250,139150,128030,130390],"interval_residues":[280,450,280,450,280,450],"display_cycle":[280,450,280,450,280,450],"intervals":[{"from_index":57,"to_index":427,"sum":130220,"residue":280},{"from_index":427,"to_index":797,"sum":140610,"residue":450},{"from_index":797,"to_index":1167,"sum":138250,"residue":280},{"from_index":1167,"to_index":1537,"sum":139150,"residue":450},{"from_index":1537,"to_index":1907,"sum":128030,"residue":280},{"from_index":1907,"to_index":57,"sum":130390,"residue":450}],"minimal_cycle":[280,450],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":280,"start_interval_clock_positions":[57,427],"circle_positions":730,"cycle_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":[58,428,798,1168,1538,1908],"clock_positions":[58,428,798,1168,1538,1908],"native_values":[549,181,184,181,549,546],"rotation_degrees":9.405405405405405,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[549,181,184,181,549,546],"beta":{"interval_sums":[129954,140876,138714,139416,127764,129926],"interval_residues":[14,716,14,716,14,716],"display_cycle":[14,716,14,716,14,716],"intervals":[{"from_index":58,"to_index":428,"sum":129954,"residue":14},{"from_index":428,"to_index":798,"sum":140876,"residue":716},{"from_index":798,"to_index":1168,"sum":138714,"residue":14},{"from_index":1168,"to_index":1538,"sum":139416,"residue":716},{"from_index":1538,"to_index":1908,"sum":127764,"residue":14},{"from_index":1908,"to_index":58,"sum":129926,"residue":716}],"minimal_cycle":[14,716],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[58,428],"circle_positions":730,"cycle_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":[59,429,799,1169,1539,1909],"clock_positions":[59,429,799,1169,1539,1909],"native_values":[631,464,631,99,266,99],"rotation_degrees":9.567567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[631,464,631,99,266,99],"beta":{"interval_sums":[129504,140596,138264,139866,128044,130376],"interval_residues":[294,436,294,436,294,436],"display_cycle":[294,436,294,436,294,436],"intervals":[{"from_index":59,"to_index":429,"sum":129504,"residue":294},{"from_index":429,"to_index":799,"sum":140596,"residue":436},{"from_index":799,"to_index":1169,"sum":138264,"residue":294},{"from_index":1169,"to_index":1539,"sum":139866,"residue":436},{"from_index":1539,"to_index":1909,"sum":128044,"residue":294},{"from_index":1909,"to_index":59,"sum":130376,"residue":436}],"minimal_cycle":[294,436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[59,429],"circle_positions":730,"cycle_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":[60,430,800,1170,1540,1910],"clock_positions":[60,430,800,1170,1540,1910],"native_values":[450,645,85,280,85,645],"rotation_degrees":9.72972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[450,645,85,280,85,645],"beta":{"interval_sums":[129518,140582,138278,139852,128058,130362],"interval_residues":[308,422,308,422,308,422],"display_cycle":[308,422,308,422,308,422],"intervals":[{"from_index":60,"to_index":430,"sum":129518,"residue":308},{"from_index":430,"to_index":800,"sum":140582,"residue":422},{"from_index":800,"to_index":1170,"sum":138278,"residue":308},{"from_index":1170,"to_index":1540,"sum":139852,"residue":422},{"from_index":1540,"to_index":1910,"sum":128058,"residue":308},{"from_index":1910,"to_index":60,"sum":130362,"residue":422}],"minimal_cycle":[308,422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":308,"start_interval_clock_positions":[60,430],"circle_positions":730,"cycle_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":[61,431,801,1171,1541,1911],"clock_positions":[61,431,801,1171,1541,1911],"native_values":[351,379,716,379,351,14],"rotation_degrees":9.891891891891891,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,379,716,379,351,14],"beta":{"interval_sums":[129812,140288,137842,139558,128352,130798],"interval_residues":[602,128,602,128,602,128],"display_cycle":[602,128,602,128,602,128],"intervals":[{"from_index":61,"to_index":431,"sum":129812,"residue":602},{"from_index":431,"to_index":801,"sum":140288,"residue":128},{"from_index":801,"to_index":1171,"sum":137842,"residue":602},{"from_index":1171,"to_index":1541,"sum":139558,"residue":128},{"from_index":1541,"to_index":1911,"sum":128352,"residue":602},{"from_index":1911,"to_index":61,"sum":130798,"residue":128}],"minimal_cycle":[602,128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":602,"start_interval_clock_positions":[61,431],"circle_positions":730,"cycle_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":[62,432,802,1172,1542,1912],"clock_positions":[62,432,802,1172,1542,1912],"native_values":[71,294,71,659,436,659],"rotation_degrees":10.054054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[71,294,71,659,436,659],"beta":{"interval_sums":[130120,140710,138150,139250,127930,130490],"interval_residues":[180,550,180,550,180,550],"display_cycle":[180,550,180,550,180,550],"intervals":[{"from_index":62,"to_index":432,"sum":130120,"residue":180},{"from_index":432,"to_index":802,"sum":140710,"residue":550},{"from_index":802,"to_index":1172,"sum":138150,"residue":180},{"from_index":1172,"to_index":1542,"sum":139250,"residue":550},{"from_index":1542,"to_index":1912,"sum":127930,"residue":180},{"from_index":1912,"to_index":62,"sum":130490,"residue":550}],"minimal_cycle":[180,550],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[62,432],"circle_positions":730,"cycle_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":[63,433,803,1173,1543,1913],"clock_positions":[63,433,803,1173,1543,1913],"native_values":[422,673,57,308,57,673],"rotation_degrees":10.216216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[422,673,57,308,57,673],"beta":{"interval_sums":[129992,140108,138752,139378,128532,129888],"interval_residues":[52,678,52,678,52,678],"display_cycle":[52,678,52,678,52,678],"intervals":[{"from_index":63,"to_index":433,"sum":129992,"residue":52},{"from_index":433,"to_index":803,"sum":140108,"residue":678},{"from_index":803,"to_index":1173,"sum":138752,"residue":52},{"from_index":1173,"to_index":1543,"sum":139378,"residue":678},{"from_index":1543,"to_index":1913,"sum":128532,"residue":52},{"from_index":1913,"to_index":63,"sum":129888,"residue":678}],"minimal_cycle":[52,678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[63,433],"circle_positions":730,"cycle_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":[64,434,804,1174,1544,1914],"clock_positions":[64,434,804,1174,1544,1914],"native_values":[493,237,128,237,493,602],"rotation_degrees":10.378378378378379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[493,237,128,237,493,602],"beta":{"interval_sums":[130172,139928,138932,139198,128712,129708],"interval_residues":[232,498,232,498,232,498],"display_cycle":[232,498,232,498,232,498],"intervals":[{"from_index":64,"to_index":434,"sum":130172,"residue":232},{"from_index":434,"to_index":804,"sum":139928,"residue":498},{"from_index":804,"to_index":1174,"sum":138932,"residue":232},{"from_index":1174,"to_index":1544,"sum":139198,"residue":498},{"from_index":1544,"to_index":1914,"sum":128712,"residue":232},{"from_index":1914,"to_index":64,"sum":129708,"residue":498}],"minimal_cycle":[232,498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[64,434],"circle_positions":730,"cycle_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":[65,435,805,1175,1545,1915],"clock_positions":[65,435,805,1175,1545,1915],"native_values":[185,180,185,545,550,545],"rotation_degrees":10.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[185,180,185,545,550,545],"beta":{"interval_sums":[130224,139876,138984,139146,128764,129656],"interval_residues":[284,446,284,446,284,446],"display_cycle":[284,446,284,446,284,446],"intervals":[{"from_index":65,"to_index":435,"sum":130224,"residue":284},{"from_index":435,"to_index":805,"sum":139876,"residue":446},{"from_index":805,"to_index":1175,"sum":138984,"residue":284},{"from_index":1175,"to_index":1545,"sum":139146,"residue":446},{"from_index":1545,"to_index":1915,"sum":128764,"residue":284},{"from_index":1915,"to_index":65,"sum":129656,"residue":446}],"minimal_cycle":[284,446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":284,"start_interval_clock_positions":[65,435],"circle_positions":730,"cycle_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":[66,436,806,1176,1546,1916],"clock_positions":[66,436,806,1176,1546,1916],"native_values":[678,417,313,52,313,417],"rotation_degrees":10.702702702702704,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[678,417,313,52,313,417],"beta":{"interval_sums":[129726,139644,139216,139644,128996,129424],"interval_residues":[516,214,516,214,516,214],"display_cycle":[516,214,516,214,516,214],"intervals":[{"from_index":66,"to_index":436,"sum":129726,"residue":516},{"from_index":436,"to_index":806,"sum":139644,"residue":214},{"from_index":806,"to_index":1176,"sum":139216,"residue":516},{"from_index":1176,"to_index":1546,"sum":139644,"residue":214},{"from_index":1546,"to_index":1916,"sum":128996,"residue":516},{"from_index":1916,"to_index":66,"sum":129424,"residue":214}],"minimal_cycle":[516,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":516,"start_interval_clock_positions":[66,436],"circle_positions":730,"cycle_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":[67,437,807,1177,1547,1917],"clock_positions":[67,437,807,1177,1547,1917],"native_values":[133,597,498,597,133,232],"rotation_degrees":10.864864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,597,498,597,133,232],"beta":{"interval_sums":[130010,139360,138770,139360,129280,129870],"interval_residues":[70,660,70,660,70,660],"display_cycle":[70,660,70,660,70,660],"intervals":[{"from_index":67,"to_index":437,"sum":130010,"residue":70},{"from_index":437,"to_index":807,"sum":139360,"residue":660},{"from_index":807,"to_index":1177,"sum":138770,"residue":70},{"from_index":1177,"to_index":1547,"sum":139360,"residue":660},{"from_index":1547,"to_index":1917,"sum":129280,"residue":70},{"from_index":1917,"to_index":67,"sum":129870,"residue":660}],"minimal_cycle":[70,660],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[67,437],"circle_positions":730,"cycle_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":[68,438,808,1178,1548,1918],"clock_positions":[68,438,808,1178,1548,1918],"native_values":[81,284,81,649,446,649],"rotation_degrees":11.027027027027026,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,284,81,649,446,649],"beta":{"interval_sums":[130526,139574,139286,138844,129066,129354],"interval_residues":[586,144,586,144,586,144],"display_cycle":[586,144,586,144,586,144],"intervals":[{"from_index":68,"to_index":438,"sum":130526,"residue":586},{"from_index":438,"to_index":808,"sum":139574,"residue":144},{"from_index":808,"to_index":1178,"sum":139286,"residue":586},{"from_index":1178,"to_index":1548,"sum":138844,"residue":144},{"from_index":1548,"to_index":1918,"sum":129066,"residue":586},{"from_index":1918,"to_index":68,"sum":129354,"residue":144}],"minimal_cycle":[586,144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[68,438],"circle_positions":730,"cycle_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":[69,439,809,1179,1549,1919],"clock_positions":[69,439,809,1179,1549,1919],"native_values":[214,151,579,516,579,151],"rotation_degrees":11.18918918918919,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[214,151,579,516,579,151],"beta":{"interval_sums":[130596,139504,139356,138774,129136,129284],"interval_residues":[656,74,656,74,656,74],"display_cycle":[656,74,656,74,656,74],"intervals":[{"from_index":69,"to_index":439,"sum":130596,"residue":656},{"from_index":439,"to_index":809,"sum":139504,"residue":74},{"from_index":809,"to_index":1179,"sum":139356,"residue":656},{"from_index":1179,"to_index":1549,"sum":138774,"residue":74},{"from_index":1549,"to_index":1919,"sum":129136,"residue":656},{"from_index":1919,"to_index":69,"sum":129284,"residue":74}],"minimal_cycle":[656,74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":656,"start_interval_clock_positions":[69,439],"circle_positions":730,"cycle_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":[70,440,810,1180,1550,1920],"clock_positions":[70,440,810,1180,1550,1920],"native_values":[295,435,660,435,295,70],"rotation_degrees":11.35135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,435,660,435,295,70],"beta":{"interval_sums":[130452,139648,139212,138918,128992,129428],"interval_residues":[512,218,512,218,512,218],"display_cycle":[512,218,512,218,512,218],"intervals":[{"from_index":70,"to_index":440,"sum":130452,"residue":512},{"from_index":440,"to_index":810,"sum":139648,"residue":218},{"from_index":810,"to_index":1180,"sum":139212,"residue":512},{"from_index":1180,"to_index":1550,"sum":138918,"residue":218},{"from_index":1550,"to_index":1920,"sum":128992,"residue":512},{"from_index":1920,"to_index":70,"sum":129428,"residue":218}],"minimal_cycle":[512,218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":512,"start_interval_clock_positions":[70,440],"circle_positions":730,"cycle_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":[71,441,811,1181,1551,1921],"clock_positions":[71,441,811,1181,1551,1921],"native_values":[509,586,509,221,144,221],"rotation_degrees":11.513513513513514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[509,586,509,221,144,221],"beta":{"interval_sums":[130378,139722,139138,138992,128918,129502],"interval_residues":[438,292,438,292,438,292],"display_cycle":[438,292,438,292,438,292],"intervals":[{"from_index":71,"to_index":441,"sum":130378,"residue":438},{"from_index":441,"to_index":811,"sum":139722,"residue":292},{"from_index":811,"to_index":1181,"sum":139138,"residue":438},{"from_index":1181,"to_index":1551,"sum":138992,"residue":292},{"from_index":1551,"to_index":1921,"sum":128918,"residue":438},{"from_index":1921,"to_index":71,"sum":129502,"residue":292}],"minimal_cycle":[438,292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":438,"start_interval_clock_positions":[71,441],"circle_positions":730,"cycle_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":[72,442,812,1182,1552,1922],"clock_positions":[72,442,812,1182,1552,1922],"native_values":[74,291,439,656,439,291],"rotation_degrees":11.675675675675675,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[74,291,439,656,439,291],"beta":{"interval_sums":[130890,139940,138920,138480,128700,129720],"interval_residues":[220,510,220,510,220,510],"display_cycle":[220,510,220,510,220,510],"intervals":[{"from_index":72,"to_index":442,"sum":130890,"residue":220},{"from_index":442,"to_index":812,"sum":139940,"residue":510},{"from_index":812,"to_index":1182,"sum":138920,"residue":220},{"from_index":1182,"to_index":1552,"sum":138480,"residue":510},{"from_index":1552,"to_index":1922,"sum":128700,"residue":220},{"from_index":1922,"to_index":72,"sum":129720,"residue":510}],"minimal_cycle":[220,510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[72,442],"circle_positions":730,"cycle_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":[73,443,813,1183,1553,1923],"clock_positions":[73,443,813,1183,1553,1923],"native_values":[583,147,218,147,583,512],"rotation_degrees":11.837837837837839,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[583,147,218,147,583,512],"beta":{"interval_sums":[130598,140232,139358,138772,128408,129282],"interval_residues":[658,72,658,72,658,72],"display_cycle":[658,72,658,72,658,72],"intervals":[{"from_index":73,"to_index":443,"sum":130598,"residue":658},{"from_index":443,"to_index":813,"sum":140232,"residue":72},{"from_index":813,"to_index":1183,"sum":139358,"residue":658},{"from_index":1183,"to_index":1553,"sum":138772,"residue":72},{"from_index":1553,"to_index":1923,"sum":128408,"residue":658},{"from_index":1923,"to_index":73,"sum":129282,"residue":72}],"minimal_cycle":[658,72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":658,"start_interval_clock_positions":[73,443],"circle_positions":730,"cycle_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":[74,444,814,1184,1554,1924],"clock_positions":[74,444,814,1184,1554,1924],"native_values":[657,438,657,73,292,73],"rotation_degrees":12.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,438,657,73,292,73],"beta":{"interval_sums":[130088,140012,138848,139282,128628,129792],"interval_residues":[148,582,148,582,148,582],"display_cycle":[148,582,148,582,148,582],"intervals":[{"from_index":74,"to_index":444,"sum":130088,"residue":148},{"from_index":444,"to_index":814,"sum":140012,"residue":582},{"from_index":814,"to_index":1184,"sum":138848,"residue":148},{"from_index":1184,"to_index":1554,"sum":139282,"residue":582},{"from_index":1554,"to_index":1924,"sum":128628,"residue":148},{"from_index":1924,"to_index":74,"sum":129792,"residue":582}],"minimal_cycle":[148,582],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[74,444],"circle_positions":730,"cycle_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":[75,445,815,1185,1555,1925],"clock_positions":[75,445,815,1185,1555,1925],"native_values":[510,585,145,220,145,585],"rotation_degrees":12.162162162162161,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[510,585,145,220,145,585],"beta":{"interval_sums":[130016,140084,138776,139354,128556,129864],"interval_residues":[76,654,76,654,76,654],"display_cycle":[76,654,76,654,76,654],"intervals":[{"from_index":75,"to_index":445,"sum":130016,"residue":76},{"from_index":445,"to_index":815,"sum":140084,"residue":654},{"from_index":815,"to_index":1185,"sum":138776,"residue":76},{"from_index":1185,"to_index":1555,"sum":139354,"residue":654},{"from_index":1555,"to_index":1925,"sum":128556,"residue":76},{"from_index":1925,"to_index":75,"sum":129864,"residue":654}],"minimal_cycle":[76,654],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[75,445],"circle_positions":730,"cycle_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":[76,446,816,1186,1556,1926],"clock_positions":[76,446,816,1186,1556,1926],"native_values":[437,293,72,293,437,658],"rotation_degrees":12.324324324324325,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[437,293,72,293,437,658],"beta":{"interval_sums":[130164,139936,138924,139206,128704,129716],"interval_residues":[224,506,224,506,224,506],"display_cycle":[224,506,224,506,224,506],"intervals":[{"from_index":76,"to_index":446,"sum":130164,"residue":224},{"from_index":446,"to_index":816,"sum":139936,"residue":506},{"from_index":816,"to_index":1186,"sum":138924,"residue":224},{"from_index":1186,"to_index":1556,"sum":139206,"residue":506},{"from_index":1556,"to_index":1926,"sum":128704,"residue":224},{"from_index":1926,"to_index":76,"sum":129716,"residue":506}],"minimal_cycle":[224,506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[76,446],"circle_positions":730,"cycle_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":[77,447,817,1187,1557,1927],"clock_positions":[77,447,817,1187,1557,1927],"native_values":[217,148,217,513,582,513],"rotation_degrees":12.486486486486486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[217,148,217,513,582,513],"beta":{"interval_sums":[130240,139860,139000,139130,128780,129640],"interval_residues":[300,430,300,430,300,430],"display_cycle":[300,430,300,430,300,430],"intervals":[{"from_index":77,"to_index":447,"sum":130240,"residue":300},{"from_index":447,"to_index":817,"sum":139860,"residue":430},{"from_index":817,"to_index":1187,"sum":139000,"residue":300},{"from_index":1187,"to_index":1557,"sum":139130,"residue":430},{"from_index":1557,"to_index":1927,"sum":128780,"residue":300},{"from_index":1927,"to_index":77,"sum":129640,"residue":430}],"minimal_cycle":[300,430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":300,"start_interval_clock_positions":[77,447],"circle_positions":730,"cycle_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":[78,448,818,1188,1558,1928],"clock_positions":[78,448,818,1188,1558,1928],"native_values":[654,441,289,76,289,441],"rotation_degrees":12.64864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[654,441,289,76,289,441],"beta":{"interval_sums":[129734,139636,139224,139636,129004,129416],"interval_residues":[524,206,524,206,524,206],"display_cycle":[524,206,524,206,524,206],"intervals":[{"from_index":78,"to_index":448,"sum":129734,"residue":524},{"from_index":448,"to_index":818,"sum":139636,"residue":206},{"from_index":818,"to_index":1188,"sum":139224,"residue":524},{"from_index":1188,"to_index":1558,"sum":139636,"residue":206},{"from_index":1558,"to_index":1928,"sum":129004,"residue":524},{"from_index":1928,"to_index":78,"sum":129416,"residue":206}],"minimal_cycle":[524,206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[78,448],"circle_positions":730,"cycle_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":[79,449,819,1189,1559,1929],"clock_positions":[79,449,819,1189,1559,1929],"native_values":[141,589,506,589,141,224],"rotation_degrees":12.81081081081081,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,589,506,589,141,224],"beta":{"interval_sums":[130034,139336,138794,139336,129304,129846],"interval_residues":[94,636,94,636,94,636],"display_cycle":[94,636,94,636,94,636],"intervals":[{"from_index":79,"to_index":449,"sum":130034,"residue":94},{"from_index":449,"to_index":819,"sum":139336,"residue":636},{"from_index":819,"to_index":1189,"sum":138794,"residue":94},{"from_index":1189,"to_index":1559,"sum":139336,"residue":636},{"from_index":1559,"to_index":1929,"sum":129304,"residue":94},{"from_index":1929,"to_index":79,"sum":129846,"residue":636}],"minimal_cycle":[94,636],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":94,"start_interval_clock_positions":[79,449],"circle_positions":730,"cycle_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":[80,450,820,1190,1560,1930],"clock_positions":[80,450,820,1190,1560,1930],"native_values":[65,300,65,665,430,665],"rotation_degrees":12.972972972972974,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,300,65,665,430,665],"beta":{"interval_sums":[130558,139542,139318,138812,129098,129322],"interval_residues":[618,112,618,112,618,112],"display_cycle":[618,112,618,112,618,112],"intervals":[{"from_index":80,"to_index":450,"sum":130558,"residue":618},{"from_index":450,"to_index":820,"sum":139542,"residue":112},{"from_index":820,"to_index":1190,"sum":139318,"residue":618},{"from_index":1190,"to_index":1560,"sum":138812,"residue":112},{"from_index":1560,"to_index":1930,"sum":129098,"residue":618},{"from_index":1930,"to_index":80,"sum":129322,"residue":112}],"minimal_cycle":[618,112],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":618,"start_interval_clock_positions":[80,450],"circle_positions":730,"cycle_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":[81,451,821,1191,1561,1931],"clock_positions":[81,451,821,1191,1561,1931],"native_values":[206,159,571,524,571,159],"rotation_degrees":13.135135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[206,159,571,524,571,159],"beta":{"interval_sums":[130652,139448,139412,138718,129192,129228],"interval_residues":[712,18,712,18,712,18],"display_cycle":[712,18,712,18,712,18],"intervals":[{"from_index":81,"to_index":451,"sum":130652,"residue":712},{"from_index":451,"to_index":821,"sum":139448,"residue":18},{"from_index":821,"to_index":1191,"sum":139412,"residue":712},{"from_index":1191,"to_index":1561,"sum":138718,"residue":18},{"from_index":1561,"to_index":1931,"sum":129192,"residue":712},{"from_index":1931,"to_index":81,"sum":129228,"residue":18}],"minimal_cycle":[712,18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":712,"start_interval_clock_positions":[81,451],"circle_positions":730,"cycle_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":[82,452,822,1192,1562,1932],"clock_positions":[82,452,822,1192,1562,1932],"native_values":[271,459,636,459,271,94],"rotation_degrees":13.297297297297296,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[271,459,636,459,271,94],"beta":{"interval_sums":[130540,139560,139300,138830,129080,129340],"interval_residues":[600,130,600,130,600,130],"display_cycle":[600,130,600,130,600,130],"intervals":[{"from_index":82,"to_index":452,"sum":130540,"residue":600},{"from_index":452,"to_index":822,"sum":139560,"residue":130},{"from_index":822,"to_index":1192,"sum":139300,"residue":600},{"from_index":1192,"to_index":1562,"sum":138830,"residue":130},{"from_index":1562,"to_index":1932,"sum":129080,"residue":600},{"from_index":1932,"to_index":82,"sum":129340,"residue":130}],"minimal_cycle":[600,130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":600,"start_interval_clock_positions":[82,452],"circle_positions":730,"cycle_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":[83,453,823,1193,1563,1933],"clock_positions":[83,453,823,1193,1563,1933],"native_values":[477,618,477,253,112,253],"rotation_degrees":13.45945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,618,477,253,112,253],"beta":{"interval_sums":[130522,139578,139282,138848,129062,129358],"interval_residues":[582,148,582,148,582,148],"display_cycle":[582,148,582,148,582,148],"intervals":[{"from_index":83,"to_index":453,"sum":130522,"residue":582},{"from_index":453,"to_index":823,"sum":139578,"residue":148},{"from_index":823,"to_index":1193,"sum":139282,"residue":582},{"from_index":1193,"to_index":1563,"sum":138848,"residue":148},{"from_index":1563,"to_index":1933,"sum":129062,"residue":582},{"from_index":1933,"to_index":83,"sum":129358,"residue":148}],"minimal_cycle":[582,148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":582,"start_interval_clock_positions":[83,453],"circle_positions":730,"cycle_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":[84,454,824,1194,1564,1934],"clock_positions":[84,454,824,1194,1564,1934],"native_values":[18,347,383,712,383,347],"rotation_degrees":13.621621621621621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[18,347,383,712,383,347],"beta":{"interval_sums":[131122,139708,139152,138248,128932,129488],"interval_residues":[452,278,452,278,452,278],"display_cycle":[452,278,452,278,452,278],"intervals":[{"from_index":84,"to_index":454,"sum":131122,"residue":452},{"from_index":454,"to_index":824,"sum":139708,"residue":278},{"from_index":824,"to_index":1194,"sum":139152,"residue":452},{"from_index":1194,"to_index":1564,"sum":138248,"residue":278},{"from_index":1564,"to_index":1934,"sum":128932,"residue":452},{"from_index":1934,"to_index":84,"sum":129488,"residue":278}],"minimal_cycle":[452,278],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[84,454],"circle_positions":730,"cycle_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":[85,455,825,1195,1565,1935],"clock_positions":[85,455,825,1195,1565,1935],"native_values":[495,235,130,235,495,600],"rotation_degrees":13.783783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[495,235,130,235,495,600],"beta":{"interval_sums":[130974,139856,139734,138396,128784,128906],"interval_residues":[304,426,304,426,304,426],"display_cycle":[304,426,304,426,304,426],"intervals":[{"from_index":85,"to_index":455,"sum":130974,"residue":304},{"from_index":455,"to_index":825,"sum":139856,"residue":426},{"from_index":825,"to_index":1195,"sum":139734,"residue":304},{"from_index":1195,"to_index":1565,"sum":138396,"residue":426},{"from_index":1565,"to_index":1935,"sum":128784,"residue":304},{"from_index":1935,"to_index":85,"sum":128906,"residue":426}],"minimal_cycle":[304,426],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":304,"start_interval_clock_positions":[85,455],"circle_positions":730,"cycle_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":[86,456,826,1196,1566,1936],"clock_positions":[86,456,826,1196,1566,1936],"native_values":[513,582,513,217,148,217],"rotation_degrees":13.945945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,582,513,217,148,217],"beta":{"interval_sums":[130696,139404,139456,138674,129236,129184],"interval_residues":[26,704,26,704,26,704],"display_cycle":[26,704,26,704,26,704],"intervals":[{"from_index":86,"to_index":456,"sum":130696,"residue":26},{"from_index":456,"to_index":826,"sum":139404,"residue":704},{"from_index":826,"to_index":1196,"sum":139456,"residue":26},{"from_index":1196,"to_index":1566,"sum":138674,"residue":704},{"from_index":1566,"to_index":1936,"sum":129236,"residue":26},{"from_index":1936,"to_index":86,"sum":129184,"residue":704}],"minimal_cycle":[26,704],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[86,456],"circle_positions":730,"cycle_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":[87,457,827,1197,1567,1937],"clock_positions":[87,457,827,1197,1567,1937],"native_values":[278,87,643,452,643,87],"rotation_degrees":14.108108108108109,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,87,643,452,643,87],"beta":{"interval_sums":[131000,139830,139030,138370,128810,129610],"interval_residues":[330,400,330,400,330,400],"display_cycle":[330,400,330,400,330,400],"intervals":[{"from_index":87,"to_index":457,"sum":131000,"residue":330},{"from_index":457,"to_index":827,"sum":139830,"residue":400},{"from_index":827,"to_index":1197,"sum":139030,"residue":330},{"from_index":1197,"to_index":1567,"sum":138370,"residue":400},{"from_index":1567,"to_index":1937,"sum":128810,"residue":330},{"from_index":1937,"to_index":87,"sum":129610,"residue":400}],"minimal_cycle":[330,400],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[87,457],"circle_positions":730,"cycle_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":[88,458,828,1198,1568,1938],"clock_positions":[88,458,828,1198,1568,1938],"native_values":[61,669,426,669,61,304],"rotation_degrees":14.27027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,669,426,669,61,304],"beta":{"interval_sums":[131026,139804,139056,138344,128836,129584],"interval_residues":[356,374,356,374,356,374],"display_cycle":[356,374,356,374,356,374],"intervals":[{"from_index":88,"to_index":458,"sum":131026,"residue":356},{"from_index":458,"to_index":828,"sum":139804,"residue":374},{"from_index":828,"to_index":1198,"sum":139056,"residue":356},{"from_index":1198,"to_index":1568,"sum":138344,"residue":374},{"from_index":1568,"to_index":1938,"sum":128836,"residue":356},{"from_index":1938,"to_index":88,"sum":129584,"residue":374}],"minimal_cycle":[356,374],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":356,"start_interval_clock_positions":[88,458],"circle_positions":730,"cycle_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":[89,459,829,1199,1569,1939],"clock_positions":[89,459,829,1199,1569,1939],"native_values":[339,26,339,391,704,391],"rotation_degrees":14.432432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[339,26,339,391,704,391],"beta":{"interval_sums":[131356,140204,139386,138014,128436,129254],"interval_residues":[686,44,686,44,686,44],"display_cycle":[686,44,686,44,686,44],"intervals":[{"from_index":89,"to_index":459,"sum":131356,"residue":686},{"from_index":459,"to_index":829,"sum":140204,"residue":44},{"from_index":829,"to_index":1199,"sum":139386,"residue":686},{"from_index":1199,"to_index":1569,"sum":138014,"residue":44},{"from_index":1569,"to_index":1939,"sum":128436,"residue":686},{"from_index":1939,"to_index":89,"sum":129254,"residue":44}],"minimal_cycle":[686,44],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":686,"start_interval_clock_positions":[89,459],"circle_positions":730,"cycle_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":[90,460,830,1200,1570,1940],"clock_positions":[90,460,830,1200,1570,1940],"native_values":[400,695,35,330,35,695],"rotation_degrees":14.594594594594595,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[400,695,35,330,35,695],"beta":{"interval_sums":[130982,139848,139742,138388,128792,128898],"interval_residues":[312,418,312,418,312,418],"display_cycle":[312,418,312,418,312,418],"intervals":[{"from_index":90,"to_index":460,"sum":130982,"residue":312},{"from_index":460,"to_index":830,"sum":139848,"residue":418},{"from_index":830,"to_index":1200,"sum":139742,"residue":312},{"from_index":1200,"to_index":1570,"sum":138388,"residue":418},{"from_index":1570,"to_index":1940,"sum":128792,"residue":312},{"from_index":1940,"to_index":90,"sum":128898,"residue":418}],"minimal_cycle":[312,418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[90,460],"circle_positions":730,"cycle_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":[91,461,831,1201,1571,1941],"clock_positions":[91,461,831,1201,1571,1941],"native_values":[9,721,374,721,9,356],"rotation_degrees":14.756756756756756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,721,374,721,9,356],"beta":{"interval_sums":[131668,139162,139698,137702,129478,128942],"interval_residues":[268,462,268,462,268,462],"display_cycle":[268,462,268,462,268,462],"intervals":[{"from_index":91,"to_index":461,"sum":131668,"residue":268},{"from_index":461,"to_index":831,"sum":139162,"residue":462},{"from_index":831,"to_index":1201,"sum":139698,"residue":268},{"from_index":1201,"to_index":1571,"sum":137702,"residue":462},{"from_index":1571,"to_index":1941,"sum":129478,"residue":268},{"from_index":1941,"to_index":91,"sum":128942,"residue":462}],"minimal_cycle":[268,462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":268,"start_interval_clock_positions":[91,461],"circle_positions":730,"cycle_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":[92,462,832,1202,1572,1942],"clock_positions":[92,462,832,1202,1572,1942],"native_values":[409,686,409,321,44,321],"rotation_degrees":14.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,686,409,321,44,321],"beta":{"interval_sums":[131980,138850,140010,137390,129790,128630],"interval_residues":[580,150,580,150,580,150],"display_cycle":[580,150,580,150,580,150],"intervals":[{"from_index":92,"to_index":462,"sum":131980,"residue":580},{"from_index":462,"to_index":832,"sum":138850,"residue":150},{"from_index":832,"to_index":1202,"sum":140010,"residue":580},{"from_index":1202,"to_index":1572,"sum":137390,"residue":150},{"from_index":1572,"to_index":1942,"sum":129790,"residue":580},{"from_index":1942,"to_index":92,"sum":128630,"residue":150}],"minimal_cycle":[580,150],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":580,"start_interval_clock_positions":[92,462],"circle_positions":730,"cycle_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":[93,463,833,1203,1573,1943],"clock_positions":[93,463,833,1203,1573,1943],"native_values":[418,677,53,312,53,677],"rotation_degrees":15.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[418,677,53,312,53,677],"beta":{"interval_sums":[132248,138582,140278,137122,130058,128362],"interval_residues":[118,612,118,612,118,612],"display_cycle":[118,612,118,612,118,612],"intervals":[{"from_index":93,"to_index":463,"sum":132248,"residue":118},{"from_index":463,"to_index":833,"sum":138582,"residue":612},{"from_index":833,"to_index":1203,"sum":140278,"residue":118},{"from_index":1203,"to_index":1573,"sum":137122,"residue":612},{"from_index":1573,"to_index":1943,"sum":130058,"residue":118},{"from_index":1943,"to_index":93,"sum":128362,"residue":612}],"minimal_cycle":[118,612],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":118,"start_interval_clock_positions":[93,463],"circle_positions":730,"cycle_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":[94,464,834,1204,1574,1944],"clock_positions":[94,464,834,1204,1574,1944],"native_values":[97,633,462,633,97,268],"rotation_degrees":15.243243243243244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[97,633,462,633,97,268],"beta":{"interval_sums":[132828,138002,140128,136542,130638,128512],"interval_residues":[698,32,698,32,698,32],"display_cycle":[698,32,698,32,698,32],"intervals":[{"from_index":94,"to_index":464,"sum":132828,"residue":698},{"from_index":464,"to_index":834,"sum":138002,"residue":32},{"from_index":834,"to_index":1204,"sum":140128,"residue":698},{"from_index":1204,"to_index":1574,"sum":136542,"residue":32},{"from_index":1574,"to_index":1944,"sum":130638,"residue":698},{"from_index":1944,"to_index":94,"sum":128512,"residue":32}],"minimal_cycle":[698,32],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":698,"start_interval_clock_positions":[94,464],"circle_positions":730,"cycle_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":[95,465,835,1205,1575,1945],"clock_positions":[95,465,835,1205,1575,1945],"native_values":[515,580,515,215,150,215],"rotation_degrees":15.405405405405405,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[515,580,515,215,150,215],"beta":{"interval_sums":[132946,137884,140246,136424,130756,128394],"interval_residues":[86,644,86,644,86,644],"display_cycle":[86,644,86,644,86,644],"intervals":[{"from_index":95,"to_index":465,"sum":132946,"residue":86},{"from_index":465,"to_index":835,"sum":137884,"residue":644},{"from_index":835,"to_index":1205,"sum":140246,"residue":86},{"from_index":1205,"to_index":1575,"sum":136424,"residue":644},{"from_index":1575,"to_index":1945,"sum":130756,"residue":86},{"from_index":1945,"to_index":95,"sum":128394,"residue":644}],"minimal_cycle":[86,644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":86,"start_interval_clock_positions":[95,465],"circle_positions":730,"cycle_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":[96,466,836,1206,1576,1946],"clock_positions":[96,466,836,1206,1576,1946],"native_values":[612,483,247,118,247,483],"rotation_degrees":15.567567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[612,483,247,118,247,483],"beta":{"interval_sums":[132914,137916,140214,136456,130724,128426],"interval_residues":[54,676,54,676,54,676],"display_cycle":[54,676,54,676,54,676],"intervals":[{"from_index":96,"to_index":466,"sum":132914,"residue":54},{"from_index":466,"to_index":836,"sum":137916,"residue":676},{"from_index":836,"to_index":1206,"sum":140214,"residue":54},{"from_index":1206,"to_index":1576,"sum":136456,"residue":676},{"from_index":1576,"to_index":1946,"sum":130724,"residue":54},{"from_index":1946,"to_index":96,"sum":128426,"residue":676}],"minimal_cycle":[54,676],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[96,466],"circle_positions":730,"cycle_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":[97,467,837,1207,1577,1947],"clock_positions":[97,467,837,1207,1577,1947],"native_values":[397,333,32,333,397,698],"rotation_degrees":15.72972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,333,32,333,397,698],"beta":{"interval_sums":[133000,137830,140300,136370,130810,128340],"interval_residues":[140,590,140,590,140,590],"display_cycle":[140,590,140,590,140,590],"intervals":[{"from_index":97,"to_index":467,"sum":133000,"residue":140},{"from_index":467,"to_index":837,"sum":137830,"residue":590},{"from_index":837,"to_index":1207,"sum":140300,"residue":140},{"from_index":1207,"to_index":1577,"sum":136370,"residue":590},{"from_index":1577,"to_index":1947,"sum":130810,"residue":140},{"from_index":1947,"to_index":97,"sum":128340,"residue":590}],"minimal_cycle":[140,590],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":140,"start_interval_clock_positions":[97,467],"circle_positions":730,"cycle_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":[98,468,838,1208,1578,1948],"clock_positions":[98,468,838,1208,1578,1948],"native_values":[279,86,279,451,644,451],"rotation_degrees":15.891891891891891,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,86,279,451,644,451],"beta":{"interval_sums":[133054,137776,140354,136316,130864,128286],"interval_residues":[194,536,194,536,194,536],"display_cycle":[194,536,194,536,194,536],"intervals":[{"from_index":98,"to_index":468,"sum":133054,"residue":194},{"from_index":468,"to_index":838,"sum":137776,"residue":536},{"from_index":838,"to_index":1208,"sum":140354,"residue":194},{"from_index":1208,"to_index":1578,"sum":136316,"residue":536},{"from_index":1578,"to_index":1948,"sum":130864,"residue":194},{"from_index":1948,"to_index":98,"sum":128286,"residue":536}],"minimal_cycle":[194,536],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[98,468],"circle_positions":730,"cycle_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":[99,469,839,1209,1579,1949],"clock_positions":[99,469,839,1209,1579,1949],"native_values":[676,419,311,54,311,419],"rotation_degrees":16.054054054054053,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[676,419,311,54,311,419],"beta":{"interval_sums":[132464,137636,140494,136906,131004,128146],"interval_residues":[334,396,334,396,334,396],"display_cycle":[334,396,334,396,334,396],"intervals":[{"from_index":99,"to_index":469,"sum":132464,"residue":334},{"from_index":469,"to_index":839,"sum":137636,"residue":396},{"from_index":839,"to_index":1209,"sum":140494,"residue":334},{"from_index":1209,"to_index":1579,"sum":136906,"residue":396},{"from_index":1579,"to_index":1949,"sum":131004,"residue":334},{"from_index":1949,"to_index":99,"sum":128146,"residue":396}],"minimal_cycle":[334,396],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[99,469],"circle_positions":730,"cycle_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":[100,470,840,1210,1580,1950],"clock_positions":[100,470,840,1210,1580,1950],"native_values":[225,505,590,505,225,140],"rotation_degrees":16.216216216216218,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[225,505,590,505,225,140],"beta":{"interval_sums":[132658,137442,139958,136712,131198,128682],"interval_residues":[528,202,528,202,528,202],"display_cycle":[528,202,528,202,528,202],"intervals":[{"from_index":100,"to_index":470,"sum":132658,"residue":528},{"from_index":470,"to_index":840,"sum":137442,"residue":202},{"from_index":840,"to_index":1210,"sum":139958,"residue":528},{"from_index":1210,"to_index":1580,"sum":136712,"residue":202},{"from_index":1580,"to_index":1950,"sum":131198,"residue":528},{"from_index":1950,"to_index":100,"sum":128682,"residue":202}],"minimal_cycle":[528,202],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":528,"start_interval_clock_positions":[100,470],"circle_positions":730,"cycle_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":[101,471,841,1211,1581,1951],"clock_positions":[101,471,841,1211,1581,1951],"native_values":[171,194,171,559,536,559],"rotation_degrees":16.37837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,194,171,559,536,559],"beta":{"interval_sums":[132992,137838,140292,136378,130802,128348],"interval_residues":[132,598,132,598,132,598],"display_cycle":[132,598,132,598,132,598],"intervals":[{"from_index":101,"to_index":471,"sum":132992,"residue":132},{"from_index":471,"to_index":841,"sum":137838,"residue":598},{"from_index":841,"to_index":1211,"sum":140292,"residue":132},{"from_index":1211,"to_index":1581,"sum":136378,"residue":598},{"from_index":1581,"to_index":1951,"sum":130802,"residue":132},{"from_index":1951,"to_index":101,"sum":128348,"residue":598}],"minimal_cycle":[132,598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[101,471],"circle_positions":730,"cycle_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":[102,472,842,1212,1582,1952],"clock_positions":[102,472,842,1212,1582,1952],"native_values":[396,699,31,334,31,699],"rotation_degrees":16.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[396,699,31,334,31,699],"beta":{"interval_sums":[132790,137310,140820,136580,131330,127820],"interval_residues":[660,70,660,70,660,70],"display_cycle":[660,70,660,70,660,70],"intervals":[{"from_index":102,"to_index":472,"sum":132790,"residue":660},{"from_index":472,"to_index":842,"sum":137310,"residue":70},{"from_index":842,"to_index":1212,"sum":140820,"residue":660},{"from_index":1212,"to_index":1582,"sum":136580,"residue":70},{"from_index":1582,"to_index":1952,"sum":131330,"residue":660},{"from_index":1952,"to_index":102,"sum":127820,"residue":70}],"minimal_cycle":[660,70],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":660,"start_interval_clock_positions":[102,472],"circle_positions":730,"cycle_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":[103,473,843,1213,1583,1953],"clock_positions":[103,473,843,1213,1583,1953],"native_values":[567,163,202,163,567,528],"rotation_degrees":16.7027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,163,202,163,567,528],"beta":{"interval_sums":[132922,137178,140952,136448,131462,127688],"interval_residues":[62,668,62,668,62,668],"display_cycle":[62,668,62,668,62,668],"intervals":[{"from_index":103,"to_index":473,"sum":132922,"residue":62},{"from_index":473,"to_index":843,"sum":137178,"residue":668},{"from_index":843,"to_index":1213,"sum":140952,"residue":62},{"from_index":1213,"to_index":1583,"sum":136448,"residue":668},{"from_index":1583,"to_index":1953,"sum":131462,"residue":62},{"from_index":1953,"to_index":103,"sum":127688,"residue":668}],"minimal_cycle":[62,668],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[103,473],"circle_positions":730,"cycle_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":[104,474,844,1214,1584,1954],"clock_positions":[104,474,844,1214,1584,1954],"native_values":[233,132,233,497,598,497],"rotation_degrees":16.864864864864863,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,132,233,497,598,497],"beta":{"interval_sums":[132852,137248,140882,136518,131392,127758],"interval_residues":[722,8,722,8,722,8],"display_cycle":[722,8,722,8,722,8],"intervals":[{"from_index":104,"to_index":474,"sum":132852,"residue":722},{"from_index":474,"to_index":844,"sum":137248,"residue":8},{"from_index":844,"to_index":1214,"sum":140882,"residue":722},{"from_index":1214,"to_index":1584,"sum":136518,"residue":8},{"from_index":1584,"to_index":1954,"sum":131392,"residue":722},{"from_index":1954,"to_index":104,"sum":127758,"residue":8}],"minimal_cycle":[722,8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":722,"start_interval_clock_positions":[104,474],"circle_positions":730,"cycle_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":[105,475,845,1215,1585,1955],"clock_positions":[105,475,845,1215,1585,1955],"native_values":[70,295,435,660,435,295],"rotation_degrees":17.027027027027028,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[70,295,435,660,435,295],"beta":{"interval_sums":[132914,137186,140944,136456,131454,127696],"interval_residues":[54,676,54,676,54,676],"display_cycle":[54,676,54,676,54,676],"intervals":[{"from_index":105,"to_index":475,"sum":132914,"residue":54},{"from_index":475,"to_index":845,"sum":137186,"residue":676},{"from_index":845,"to_index":1215,"sum":140944,"residue":54},{"from_index":1215,"to_index":1585,"sum":136456,"residue":676},{"from_index":1585,"to_index":1955,"sum":131454,"residue":54},{"from_index":1955,"to_index":105,"sum":127696,"residue":676}],"minimal_cycle":[54,676],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[105,475],"circle_positions":730,"cycle_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":[106,476,846,1216,1586,1956],"clock_positions":[106,476,846,1216,1586,1956],"native_values":[303,427,668,427,303,62],"rotation_degrees":17.18918918918919,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[303,427,668,427,303,62],"beta":{"interval_sums":[132906,137194,140936,136464,131446,127704],"interval_residues":[46,684,46,684,46,684],"display_cycle":[46,684,46,684,46,684],"intervals":[{"from_index":106,"to_index":476,"sum":132906,"residue":46},{"from_index":476,"to_index":846,"sum":137194,"residue":684},{"from_index":846,"to_index":1216,"sum":140936,"residue":46},{"from_index":1216,"to_index":1586,"sum":136464,"residue":684},{"from_index":1586,"to_index":1956,"sum":131446,"residue":46},{"from_index":1956,"to_index":106,"sum":127704,"residue":684}],"minimal_cycle":[46,684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[106,476],"circle_positions":730,"cycle_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":[107,477,847,1217,1587,1957],"clock_positions":[107,477,847,1217,1587,1957],"native_values":[373,722,373,357,8,357],"rotation_degrees":17.35135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[373,722,373,357,8,357],"beta":{"interval_sums":[132960,137140,140990,136410,131500,127650],"interval_residues":[100,630,100,630,100,630],"display_cycle":[100,630,100,630,100,630],"intervals":[{"from_index":107,"to_index":477,"sum":132960,"residue":100},{"from_index":477,"to_index":847,"sum":137140,"residue":630},{"from_index":847,"to_index":1217,"sum":140990,"residue":100},{"from_index":1217,"to_index":1587,"sum":136410,"residue":630},{"from_index":1587,"to_index":1957,"sum":131500,"residue":100},{"from_index":1957,"to_index":107,"sum":127650,"residue":630}],"minimal_cycle":[100,630],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":100,"start_interval_clock_positions":[107,477],"circle_positions":730,"cycle_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":[108,478,848,1218,1588,1958],"clock_positions":[108,478,848,1218,1588,1958],"native_values":[676,419,311,54,311,419],"rotation_degrees":17.513513513513512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[676,419,311,54,311,419],"beta":{"interval_sums":[133006,137094,141036,136364,131546,127604],"interval_residues":[146,584,146,584,146,584],"display_cycle":[146,584,146,584,146,584],"intervals":[{"from_index":108,"to_index":478,"sum":133006,"residue":146},{"from_index":478,"to_index":848,"sum":137094,"residue":584},{"from_index":848,"to_index":1218,"sum":141036,"residue":146},{"from_index":1218,"to_index":1588,"sum":136364,"residue":584},{"from_index":1588,"to_index":1958,"sum":131546,"residue":146},{"from_index":1958,"to_index":108,"sum":127604,"residue":584}],"minimal_cycle":[146,584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[108,478],"circle_positions":730,"cycle_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":[109,479,849,1219,1589,1959],"clock_positions":[109,479,849,1219,1589,1959],"native_values":[319,411,684,411,319,46],"rotation_degrees":17.675675675675677,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[319,411,684,411,319,46],"beta":{"interval_sums":[133106,136994,140406,136264,131646,128234],"interval_residues":[246,484,246,484,246,484],"display_cycle":[246,484,246,484,246,484],"intervals":[{"from_index":109,"to_index":479,"sum":133106,"residue":246},{"from_index":479,"to_index":849,"sum":136994,"residue":484},{"from_index":849,"to_index":1219,"sum":140406,"residue":246},{"from_index":1219,"to_index":1589,"sum":136264,"residue":484},{"from_index":1589,"to_index":1959,"sum":131646,"residue":246},{"from_index":1959,"to_index":109,"sum":128234,"residue":484}],"minimal_cycle":[246,484],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":246,"start_interval_clock_positions":[109,479],"circle_positions":730,"cycle_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":[110,480,850,1220,1590,1960],"clock_positions":[110,480,850,1220,1590,1960],"native_values":[265,100,265,465,630,465],"rotation_degrees":17.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,100,265,465,630,465],"beta":{"interval_sums":[133252,137578,140552,136118,131062,128088],"interval_residues":[392,338,392,338,392,338],"display_cycle":[392,338,392,338,392,338],"intervals":[{"from_index":110,"to_index":480,"sum":133252,"residue":392},{"from_index":480,"to_index":850,"sum":137578,"residue":338},{"from_index":850,"to_index":1220,"sum":140552,"residue":392},{"from_index":1220,"to_index":1590,"sum":136118,"residue":338},{"from_index":1590,"to_index":1960,"sum":131062,"residue":392},{"from_index":1960,"to_index":110,"sum":128088,"residue":338}],"minimal_cycle":[392,338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[110,480],"circle_positions":730,"cycle_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":[111,481,851,1221,1591,1961],"clock_positions":[111,481,851,1221,1591,1961],"native_values":[584,511,219,146,219,511],"rotation_degrees":18.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[584,511,219,146,219,511],"beta":{"interval_sums":[132768,137332,140798,136602,131308,127842],"interval_residues":[638,92,638,92,638,92],"display_cycle":[638,92,638,92,638,92],"intervals":[{"from_index":111,"to_index":481,"sum":132768,"residue":638},{"from_index":481,"to_index":851,"sum":137332,"residue":92},{"from_index":851,"to_index":1221,"sum":140798,"residue":638},{"from_index":1221,"to_index":1591,"sum":136602,"residue":92},{"from_index":1591,"to_index":1961,"sum":131308,"residue":638},{"from_index":1961,"to_index":111,"sum":127842,"residue":92}],"minimal_cycle":[638,92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[111,481],"circle_positions":730,"cycle_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":[112,482,852,1222,1592,1962],"clock_positions":[112,482,852,1222,1592,1962],"native_values":[119,611,484,611,119,246],"rotation_degrees":18.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,611,484,611,119,246],"beta":{"interval_sums":[133160,136940,140460,136210,131700,128180],"interval_residues":[300,430,300,430,300,430],"display_cycle":[300,430,300,430,300,430],"intervals":[{"from_index":112,"to_index":482,"sum":133160,"residue":300},{"from_index":482,"to_index":852,"sum":136940,"residue":430},{"from_index":852,"to_index":1222,"sum":140460,"residue":300},{"from_index":1222,"to_index":1592,"sum":136210,"residue":430},{"from_index":1592,"to_index":1962,"sum":131700,"residue":300},{"from_index":1962,"to_index":112,"sum":128180,"residue":430}],"minimal_cycle":[300,430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":300,"start_interval_clock_positions":[112,482],"circle_positions":730,"cycle_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":[113,483,853,1223,1593,1963],"clock_positions":[113,483,853,1223,1593,1963],"native_values":[703,392,703,27,338,27],"rotation_degrees":18.324324324324323,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[703,392,703,27,338,27],"beta":{"interval_sums":[133068,137032,140368,136302,131608,128272],"interval_residues":[208,522,208,522,208,522],"display_cycle":[208,522,208,522,208,522],"intervals":[{"from_index":113,"to_index":483,"sum":133068,"residue":208},{"from_index":483,"to_index":853,"sum":137032,"residue":522},{"from_index":853,"to_index":1223,"sum":140368,"residue":208},{"from_index":1223,"to_index":1593,"sum":136302,"residue":522},{"from_index":1593,"to_index":1963,"sum":131608,"residue":208},{"from_index":1963,"to_index":113,"sum":128272,"residue":522}],"minimal_cycle":[208,522],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[113,483],"circle_positions":730,"cycle_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":[114,484,854,1224,1594,1964],"clock_positions":[114,484,854,1224,1594,1964],"native_values":[92,273,457,638,457,273],"rotation_degrees":18.486486486486488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[92,273,457,638,457,273],"beta":{"interval_sums":[133368,137462,139938,136002,131178,128702],"interval_residues":[508,222,508,222,508,222],"display_cycle":[508,222,508,222,508,222],"intervals":[{"from_index":114,"to_index":484,"sum":133368,"residue":508},{"from_index":484,"to_index":854,"sum":137462,"residue":222},{"from_index":854,"to_index":1224,"sum":139938,"residue":508},{"from_index":1224,"to_index":1594,"sum":136002,"residue":222},{"from_index":1594,"to_index":1964,"sum":131178,"residue":508},{"from_index":1964,"to_index":114,"sum":128702,"residue":222}],"minimal_cycle":[508,222],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":508,"start_interval_clock_positions":[114,484],"circle_positions":730,"cycle_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":[115,485,855,1225,1595,1965],"clock_positions":[115,485,855,1225,1595,1965],"native_values":[65,665,430,665,65,300],"rotation_degrees":18.64864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,665,430,665,65,300],"beta":{"interval_sums":[133576,137254,140146,135794,131386,128494],"interval_residues":[716,14,716,14,716,14],"display_cycle":[716,14,716,14,716,14],"intervals":[{"from_index":115,"to_index":485,"sum":133576,"residue":716},{"from_index":485,"to_index":855,"sum":137254,"residue":14},{"from_index":855,"to_index":1225,"sum":140146,"residue":716},{"from_index":1225,"to_index":1595,"sum":135794,"residue":14},{"from_index":1595,"to_index":1965,"sum":131386,"residue":716},{"from_index":1965,"to_index":115,"sum":128494,"residue":14}],"minimal_cycle":[716,14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":716,"start_interval_clock_positions":[115,485],"circle_positions":730,"cycle_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":[116,486,856,1226,1596,1966],"clock_positions":[116,486,856,1226,1596,1966],"native_values":[157,208,157,573,522,573],"rotation_degrees":18.81081081081081,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,208,157,573,522,573],"beta":{"interval_sums":[134084,137476,140654,135286,131164,127986],"interval_residues":[494,236,494,236,494,236],"display_cycle":[494,236,494,236,494,236],"intervals":[{"from_index":116,"to_index":486,"sum":134084,"residue":494},{"from_index":486,"to_index":856,"sum":137476,"residue":236},{"from_index":856,"to_index":1226,"sum":140654,"residue":494},{"from_index":1226,"to_index":1596,"sum":135286,"residue":236},{"from_index":1596,"to_index":1966,"sum":131164,"residue":494},{"from_index":1966,"to_index":116,"sum":127986,"residue":236}],"minimal_cycle":[494,236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":494,"start_interval_clock_positions":[116,486],"circle_positions":730,"cycle_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":[117,487,857,1227,1597,1967],"clock_positions":[117,487,857,1227,1597,1967],"native_values":[222,143,587,508,587,143],"rotation_degrees":18.972972972972972,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[222,143,587,508,587,143],"beta":{"interval_sums":[134070,137490,140640,135300,131150,128000],"interval_residues":[480,250,480,250,480,250],"display_cycle":[480,250,480,250,480,250],"intervals":[{"from_index":117,"to_index":487,"sum":134070,"residue":480},{"from_index":487,"to_index":857,"sum":137490,"residue":250},{"from_index":857,"to_index":1227,"sum":140640,"residue":480},{"from_index":1227,"to_index":1597,"sum":135300,"residue":250},{"from_index":1597,"to_index":1967,"sum":131150,"residue":480},{"from_index":1967,"to_index":117,"sum":128000,"residue":250}],"minimal_cycle":[480,250],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[117,487],"circle_positions":730,"cycle_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":[118,488,858,1228,1598,1968],"clock_positions":[118,488,858,1228,1598,1968],"native_values":[379,351,14,351,379,716],"rotation_degrees":19.135135135135137,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[379,351,14,351,379,716],"beta":{"interval_sums":[133834,137726,141134,135536,130914,127506],"interval_residues":[244,486,244,486,244,486],"display_cycle":[244,486,244,486,244,486],"intervals":[{"from_index":118,"to_index":488,"sum":133834,"residue":244},{"from_index":488,"to_index":858,"sum":137726,"residue":486},{"from_index":858,"to_index":1228,"sum":141134,"residue":244},{"from_index":1228,"to_index":1598,"sum":135536,"residue":486},{"from_index":1598,"to_index":1968,"sum":130914,"residue":244},{"from_index":1968,"to_index":118,"sum":127506,"residue":486}],"minimal_cycle":[244,486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[118,488],"circle_positions":730,"cycle_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":[119,489,859,1229,1599,1969],"clock_positions":[119,489,859,1229,1599,1969],"native_values":[601,494,601,129,236,129],"rotation_degrees":19.2972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[601,494,601,129,236,129],"beta":{"interval_sums":[133584,137246,140884,135786,131394,127756],"interval_residues":[724,6,724,6,724,6],"display_cycle":[724,6,724,6,724,6],"intervals":[{"from_index":119,"to_index":489,"sum":133584,"residue":724},{"from_index":489,"to_index":859,"sum":137246,"residue":6},{"from_index":859,"to_index":1229,"sum":140884,"residue":724},{"from_index":1229,"to_index":1599,"sum":135786,"residue":6},{"from_index":1599,"to_index":1969,"sum":131394,"residue":724},{"from_index":1969,"to_index":119,"sum":127756,"residue":6}],"minimal_cycle":[724,6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":724,"start_interval_clock_positions":[119,489],"circle_positions":730,"cycle_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":[120,490,860,1230,1600,1970],"clock_positions":[120,490,860,1230,1600,1970],"native_values":[250,115,615,480,615,115],"rotation_degrees":19.45945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[250,115,615,480,615,115],"beta":{"interval_sums":[133828,137732,140398,135542,130908,128242],"interval_residues":[238,492,238,492,238,492],"display_cycle":[238,492,238,492,238,492],"intervals":[{"from_index":120,"to_index":490,"sum":133828,"residue":238},{"from_index":490,"to_index":860,"sum":137732,"residue":492},{"from_index":860,"to_index":1230,"sum":140398,"residue":238},{"from_index":1230,"to_index":1600,"sum":135542,"residue":492},{"from_index":1600,"to_index":1970,"sum":130908,"residue":238},{"from_index":1970,"to_index":120,"sum":128242,"residue":492}],"minimal_cycle":[238,492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":238,"start_interval_clock_positions":[120,490],"circle_positions":730,"cycle_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":[121,491,861,1231,1601,1971],"clock_positions":[121,491,861,1231,1601,1971],"native_values":[121,609,486,609,121,244],"rotation_degrees":19.62162162162162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[121,609,486,609,121,244],"beta":{"interval_sums":[133822,137738,140392,135548,130902,128248],"interval_residues":[232,498,232,498,232,498],"display_cycle":[232,498,232,498,232,498],"intervals":[{"from_index":121,"to_index":491,"sum":133822,"residue":232},{"from_index":491,"to_index":861,"sum":137738,"residue":498},{"from_index":861,"to_index":1231,"sum":140392,"residue":232},{"from_index":1231,"to_index":1601,"sum":135548,"residue":498},{"from_index":1601,"to_index":1971,"sum":130902,"residue":232},{"from_index":1971,"to_index":121,"sum":128248,"residue":498}],"minimal_cycle":[232,498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[121,491],"circle_positions":730,"cycle_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":[122,492,862,1232,1602,1972],"clock_positions":[122,492,862,1232,1602,1972],"native_values":[371,724,371,359,6,359],"rotation_degrees":19.783783783783782,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[371,724,371,359,6,359],"beta":{"interval_sums":[134060,137500,140630,135310,131140,128010],"interval_residues":[470,260,470,260,470,260],"display_cycle":[470,260,470,260,470,260],"intervals":[{"from_index":122,"to_index":492,"sum":134060,"residue":470},{"from_index":492,"to_index":862,"sum":137500,"residue":260},{"from_index":862,"to_index":1232,"sum":140630,"residue":470},{"from_index":1232,"to_index":1602,"sum":135310,"residue":260},{"from_index":1602,"to_index":1972,"sum":131140,"residue":470},{"from_index":1972,"to_index":122,"sum":128010,"residue":260}],"minimal_cycle":[470,260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[122,492],"circle_positions":730,"cycle_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":[123,493,863,1233,1603,1973],"clock_positions":[123,493,863,1233,1603,1973],"native_values":[492,603,127,238,127,603],"rotation_degrees":19.945945945945947,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,603,127,238,127,603],"beta":{"interval_sums":[134292,137268,140862,135078,131372,127778],"interval_residues":[702,28,702,28,702,28],"display_cycle":[702,28,702,28,702,28],"intervals":[{"from_index":123,"to_index":493,"sum":134292,"residue":702},{"from_index":493,"to_index":863,"sum":137268,"residue":28},{"from_index":863,"to_index":1233,"sum":140862,"residue":702},{"from_index":1233,"to_index":1603,"sum":135078,"residue":28},{"from_index":1603,"to_index":1973,"sum":131372,"residue":702},{"from_index":1973,"to_index":123,"sum":127778,"residue":28}],"minimal_cycle":[702,28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":702,"start_interval_clock_positions":[123,493],"circle_positions":730,"cycle_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":[124,494,864,1234,1604,1974],"clock_positions":[124,494,864,1234,1604,1974],"native_values":[133,597,498,597,133,232],"rotation_degrees":20.10810810810811,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,597,498,597,133,232],"beta":{"interval_sums":[134762,136798,140602,134608,131842,128038],"interval_residues":[442,288,442,288,442,288],"display_cycle":[442,288,442,288,442,288],"intervals":[{"from_index":124,"to_index":494,"sum":134762,"residue":442},{"from_index":494,"to_index":864,"sum":136798,"residue":288},{"from_index":864,"to_index":1234,"sum":140602,"residue":442},{"from_index":1234,"to_index":1604,"sum":134608,"residue":288},{"from_index":1604,"to_index":1974,"sum":131842,"residue":442},{"from_index":1974,"to_index":124,"sum":128038,"residue":288}],"minimal_cycle":[442,288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[124,494],"circle_positions":730,"cycle_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":[125,495,865,1235,1605,1975],"clock_positions":[125,495,865,1235,1605,1975],"native_values":[625,470,625,105,260,105],"rotation_degrees":20.27027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[625,470,625,105,260,105],"beta":{"interval_sums":[134734,136826,140574,134636,131814,128066],"interval_residues":[414,316,414,316,414,316],"display_cycle":[414,316,414,316,414,316],"intervals":[{"from_index":125,"to_index":495,"sum":134734,"residue":414},{"from_index":495,"to_index":865,"sum":136826,"residue":316},{"from_index":865,"to_index":1235,"sum":140574,"residue":414},{"from_index":1235,"to_index":1605,"sum":134636,"residue":316},{"from_index":1605,"to_index":1975,"sum":131814,"residue":414},{"from_index":1975,"to_index":125,"sum":128066,"residue":316}],"minimal_cycle":[414,316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[125,495],"circle_positions":730,"cycle_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":[126,496,866,1236,1606,1976],"clock_positions":[126,496,866,1236,1606,1976],"native_values":[28,337,393,702,393,337],"rotation_degrees":20.43243243243243,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[28,337,393,702,393,337],"beta":{"interval_sums":[135176,137114,140286,134194,131526,128354],"interval_residues":[126,604,126,604,126,604],"display_cycle":[126,604,126,604,126,604],"intervals":[{"from_index":126,"to_index":496,"sum":135176,"residue":126},{"from_index":496,"to_index":866,"sum":137114,"residue":604},{"from_index":866,"to_index":1236,"sum":140286,"residue":126},{"from_index":1236,"to_index":1606,"sum":134194,"residue":604},{"from_index":1606,"to_index":1976,"sum":131526,"residue":126},{"from_index":1976,"to_index":126,"sum":128354,"residue":604}],"minimal_cycle":[126,604],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[126,496],"circle_positions":730,"cycle_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":[127,497,867,1237,1607,1977],"clock_positions":[127,497,867,1237,1607,1977],"native_values":[653,77,288,77,653,442],"rotation_degrees":20.594594594594593,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,77,288,77,653,442],"beta":{"interval_sums":[134860,137430,140700,134510,131210,127940],"interval_residues":[540,190,540,190,540,190],"display_cycle":[540,190,540,190,540,190],"intervals":[{"from_index":127,"to_index":497,"sum":134860,"residue":540},{"from_index":497,"to_index":867,"sum":137430,"residue":190},{"from_index":867,"to_index":1237,"sum":140700,"residue":540},{"from_index":1237,"to_index":1607,"sum":134510,"residue":190},{"from_index":1607,"to_index":1977,"sum":131210,"residue":540},{"from_index":1977,"to_index":127,"sum":127940,"residue":190}],"minimal_cycle":[540,190],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":540,"start_interval_clock_positions":[127,497],"circle_positions":730,"cycle_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":[128,498,868,1238,1608,1978],"clock_positions":[128,498,868,1238,1608,1978],"native_values":[681,414,681,49,316,49],"rotation_degrees":20.756756756756758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[681,414,681,49,316,49],"beta":{"interval_sums":[134256,137304,140096,135114,131336,128544],"interval_residues":[666,64,666,64,666,64],"display_cycle":[666,64,666,64,666,64],"intervals":[{"from_index":128,"to_index":498,"sum":134256,"residue":666},{"from_index":498,"to_index":868,"sum":137304,"residue":64},{"from_index":868,"to_index":1238,"sum":140096,"residue":666},{"from_index":1238,"to_index":1608,"sum":135114,"residue":64},{"from_index":1608,"to_index":1978,"sum":131336,"residue":666},{"from_index":1978,"to_index":128,"sum":128544,"residue":64}],"minimal_cycle":[666,64],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":666,"start_interval_clock_positions":[128,498],"circle_positions":730,"cycle_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":[129,499,869,1239,1609,1979],"clock_positions":[129,499,869,1239,1609,1979],"native_values":[604,491,239,126,239,491],"rotation_degrees":20.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[604,491,239,126,239,491],"beta":{"interval_sums":[134066,137494,139906,135304,131146,128734],"interval_residues":[476,254,476,254,476,254],"display_cycle":[476,254,476,254,476,254],"intervals":[{"from_index":129,"to_index":499,"sum":134066,"residue":476},{"from_index":499,"to_index":869,"sum":137494,"residue":254},{"from_index":869,"to_index":1239,"sum":139906,"residue":476},{"from_index":1239,"to_index":1609,"sum":135304,"residue":254},{"from_index":1609,"to_index":1979,"sum":131146,"residue":476},{"from_index":1979,"to_index":129,"sum":128734,"residue":254}],"minimal_cycle":[476,254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":476,"start_interval_clock_positions":[129,499],"circle_positions":730,"cycle_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":[130,500,870,1240,1610,1980],"clock_positions":[130,500,870,1240,1610,1980],"native_values":[555,175,190,175,555,540],"rotation_degrees":21.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[555,175,190,175,555,540],"beta":{"interval_sums":[134002,137558,139842,135368,131082,128798],"interval_residues":[412,318,412,318,412,318],"display_cycle":[412,318,412,318,412,318],"intervals":[{"from_index":130,"to_index":500,"sum":134002,"residue":412},{"from_index":500,"to_index":870,"sum":137558,"residue":318},{"from_index":870,"to_index":1240,"sum":139842,"residue":412},{"from_index":1240,"to_index":1610,"sum":135368,"residue":318},{"from_index":1610,"to_index":1980,"sum":131082,"residue":412},{"from_index":1980,"to_index":130,"sum":128798,"residue":318}],"minimal_cycle":[412,318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[130,500],"circle_positions":730,"cycle_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":[131,501,871,1241,1611,1981],"clock_positions":[131,501,871,1241,1611,1981],"native_values":[429,666,429,301,64,301],"rotation_degrees":21.243243243243242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,666,429,301,64,301],"beta":{"interval_sums":[133748,137082,139588,135622,131558,129052],"interval_residues":[158,572,158,572,158,572],"display_cycle":[158,572,158,572,158,572],"intervals":[{"from_index":131,"to_index":501,"sum":133748,"residue":158},{"from_index":501,"to_index":871,"sum":137082,"residue":572},{"from_index":871,"to_index":1241,"sum":139588,"residue":158},{"from_index":1241,"to_index":1611,"sum":135622,"residue":572},{"from_index":1611,"to_index":1981,"sum":131558,"residue":158},{"from_index":1981,"to_index":131,"sum":129052,"residue":572}],"minimal_cycle":[158,572],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":158,"start_interval_clock_positions":[131,501],"circle_positions":730,"cycle_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":[132,502,872,1242,1612,1982],"clock_positions":[132,502,872,1242,1612,1982],"native_values":[254,111,619,476,619,111],"rotation_degrees":21.405405405405407,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[254,111,619,476,619,111],"beta":{"interval_sums":[134160,137400,139270,135210,131240,129370],"interval_residues":[570,160,570,160,570,160],"display_cycle":[570,160,570,160,570,160],"intervals":[{"from_index":132,"to_index":502,"sum":134160,"residue":570},{"from_index":502,"to_index":872,"sum":137400,"residue":160},{"from_index":872,"to_index":1242,"sum":139270,"residue":570},{"from_index":1242,"to_index":1612,"sum":135210,"residue":160},{"from_index":1612,"to_index":1982,"sum":131240,"residue":570},{"from_index":1982,"to_index":132,"sum":129370,"residue":160}],"minimal_cycle":[570,160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[132,502],"circle_positions":730,"cycle_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":[133,503,873,1243,1613,1983],"clock_positions":[133,503,873,1243,1613,1983],"native_values":[683,47,318,47,683,412],"rotation_degrees":21.56756756756757,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[683,47,318,47,683,412],"beta":{"interval_sums":[133588,137972,139428,135782,130668,129212],"interval_residues":[728,2,728,2,728,2],"display_cycle":[728,2,728,2,728,2],"intervals":[{"from_index":133,"to_index":503,"sum":133588,"residue":728},{"from_index":503,"to_index":873,"sum":137972,"residue":2},{"from_index":873,"to_index":1243,"sum":139428,"residue":728},{"from_index":1243,"to_index":1613,"sum":135782,"residue":2},{"from_index":1613,"to_index":1983,"sum":130668,"residue":728},{"from_index":1983,"to_index":133,"sum":129212,"residue":2}],"minimal_cycle":[728,2],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":728,"start_interval_clock_positions":[133,503],"circle_positions":730,"cycle_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":[134,504,874,1244,1614,1984],"clock_positions":[134,504,874,1244,1614,1984],"native_values":[207,158,207,523,572,523],"rotation_degrees":21.72972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[207,158,207,523,572,523],"beta":{"interval_sums":[133428,138132,139268,135942,130508,129372],"interval_residues":[568,162,568,162,568,162],"display_cycle":[568,162,568,162,568,162],"intervals":[{"from_index":134,"to_index":504,"sum":133428,"residue":568},{"from_index":504,"to_index":874,"sum":138132,"residue":162},{"from_index":874,"to_index":1244,"sum":139268,"residue":568},{"from_index":1244,"to_index":1614,"sum":135942,"residue":162},{"from_index":1614,"to_index":1984,"sum":130508,"residue":568},{"from_index":1984,"to_index":134,"sum":129372,"residue":162}],"minimal_cycle":[568,162],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":568,"start_interval_clock_positions":[134,504],"circle_positions":730,"cycle_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":[135,505,875,1245,1615,1985],"clock_positions":[135,505,875,1245,1615,1985],"native_values":[160,205,525,570,525,205],"rotation_degrees":21.89189189189189,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[160,205,525,570,525,205],"beta":{"interval_sums":[133426,138134,139266,135944,130506,129374],"interval_residues":[566,164,566,164,566,164],"display_cycle":[566,164,566,164,566,164],"intervals":[{"from_index":135,"to_index":505,"sum":133426,"residue":566},{"from_index":505,"to_index":875,"sum":138134,"residue":164},{"from_index":875,"to_index":1245,"sum":139266,"residue":566},{"from_index":1245,"to_index":1615,"sum":135944,"residue":164},{"from_index":1615,"to_index":1985,"sum":130506,"residue":566},{"from_index":1985,"to_index":135,"sum":129374,"residue":164}],"minimal_cycle":[566,164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":566,"start_interval_clock_positions":[135,505],"circle_positions":730,"cycle_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":[136,506,876,1246,1616,1986],"clock_positions":[136,506,876,1246,1616,1986],"native_values":[367,363,2,363,367,728],"rotation_degrees":22.054054054054053,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[367,363,2,363,367,728],"beta":{"interval_sums":[133264,138296,139834,136106,130344,128806],"interval_residues":[404,326,404,326,404,326],"display_cycle":[404,326,404,326,404,326],"intervals":[{"from_index":136,"to_index":506,"sum":133264,"residue":404},{"from_index":506,"to_index":876,"sum":138296,"residue":326},{"from_index":876,"to_index":1246,"sum":139834,"residue":404},{"from_index":1246,"to_index":1616,"sum":136106,"residue":326},{"from_index":1616,"to_index":1986,"sum":130344,"residue":404},{"from_index":1986,"to_index":136,"sum":128806,"residue":326}],"minimal_cycle":[404,326],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":404,"start_interval_clock_positions":[136,506],"circle_positions":730,"cycle_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":[137,507,877,1247,1617,1987],"clock_positions":[137,507,877,1247,1617,1987],"native_values":[527,568,527,203,162,203],"rotation_degrees":22.216216216216218,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,568,527,203,162,203],"beta":{"interval_sums":[133100,137730,139670,136270,130910,128970],"interval_residues":[240,490,240,490,240,490],"display_cycle":[240,490,240,490,240,490],"intervals":[{"from_index":137,"to_index":507,"sum":133100,"residue":240},{"from_index":507,"to_index":877,"sum":137730,"residue":490},{"from_index":877,"to_index":1247,"sum":139670,"residue":240},{"from_index":1247,"to_index":1617,"sum":136270,"residue":490},{"from_index":1617,"to_index":1987,"sum":130910,"residue":240},{"from_index":1987,"to_index":137,"sum":128970,"residue":490}],"minimal_cycle":[240,490],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[137,507],"circle_positions":730,"cycle_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":[138,508,878,1248,1618,1988],"clock_positions":[138,508,878,1248,1618,1988],"native_values":[164,201,529,566,529,201],"rotation_degrees":22.37837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[164,201,529,566,529,201],"beta":{"interval_sums":[133504,138056,139344,135866,130584,129296],"interval_residues":[644,86,644,86,644,86],"display_cycle":[644,86,644,86,644,86],"intervals":[{"from_index":138,"to_index":508,"sum":133504,"residue":644},{"from_index":508,"to_index":878,"sum":138056,"residue":86},{"from_index":878,"to_index":1248,"sum":139344,"residue":644},{"from_index":1248,"to_index":1618,"sum":135866,"residue":86},{"from_index":1618,"to_index":1988,"sum":130584,"residue":644},{"from_index":1988,"to_index":138,"sum":129296,"residue":86}],"minimal_cycle":[644,86],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[138,508],"circle_positions":730,"cycle_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":[139,509,879,1249,1619,1989],"clock_positions":[139,509,879,1249,1619,1989],"native_values":[691,39,326,39,691,404],"rotation_degrees":22.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,39,326,39,691,404],"beta":{"interval_sums":[133014,138546,139584,136356,130094,129056],"interval_residues":[154,576,154,576,154,576],"display_cycle":[154,576,154,576,154,576],"intervals":[{"from_index":139,"to_index":509,"sum":133014,"residue":154},{"from_index":509,"to_index":879,"sum":138546,"residue":576},{"from_index":879,"to_index":1249,"sum":139584,"residue":154},{"from_index":1249,"to_index":1619,"sum":136356,"residue":576},{"from_index":1619,"to_index":1989,"sum":130094,"residue":154},{"from_index":1989,"to_index":139,"sum":129056,"residue":576}],"minimal_cycle":[154,576],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":154,"start_interval_clock_positions":[139,509],"circle_positions":730,"cycle_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":[140,510,880,1250,1620,1990],"clock_positions":[140,510,880,1250,1620,1990],"native_values":[125,240,125,605,490,605],"rotation_degrees":22.7027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,240,125,605,490,605],"beta":{"interval_sums":[132928,138632,139498,136442,130008,129142],"interval_residues":[68,662,68,662,68,662],"display_cycle":[68,662,68,662,68,662],"intervals":[{"from_index":140,"to_index":510,"sum":132928,"residue":68},{"from_index":510,"to_index":880,"sum":138632,"residue":662},{"from_index":880,"to_index":1250,"sum":139498,"residue":68},{"from_index":1250,"to_index":1620,"sum":136442,"residue":662},{"from_index":1620,"to_index":1990,"sum":130008,"residue":68},{"from_index":1990,"to_index":140,"sum":129142,"residue":662}],"minimal_cycle":[68,662],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":68,"start_interval_clock_positions":[140,510],"circle_positions":730,"cycle_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":[141,511,881,1251,1621,1991],"clock_positions":[141,511,881,1251,1621,1991],"native_values":[86,279,451,644,451,279],"rotation_degrees":22.864864864864863,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[86,279,451,644,451,279],"beta":{"interval_sums":[133082,138478,139652,136288,130162,128988],"interval_residues":[222,508,222,508,222,508],"display_cycle":[222,508,222,508,222,508],"intervals":[{"from_index":141,"to_index":511,"sum":133082,"residue":222},{"from_index":511,"to_index":881,"sum":138478,"residue":508},{"from_index":881,"to_index":1251,"sum":139652,"residue":222},{"from_index":1251,"to_index":1621,"sum":136288,"residue":508},{"from_index":1621,"to_index":1991,"sum":130162,"residue":222},{"from_index":1991,"to_index":141,"sum":128988,"residue":508}],"minimal_cycle":[222,508],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":222,"start_interval_clock_positions":[141,511],"circle_positions":730,"cycle_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":[142,512,882,1252,1622,1992],"clock_positions":[142,512,882,1252,1622,1992],"native_values":[211,519,576,519,211,154],"rotation_degrees":23.027027027027028,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,519,576,519,211,154],"beta":{"interval_sums":[133150,138410,139720,136220,130230,128920],"interval_residues":[290,440,290,440,290,440],"display_cycle":[290,440,290,440,290,440],"intervals":[{"from_index":142,"to_index":512,"sum":133150,"residue":290},{"from_index":512,"to_index":882,"sum":138410,"residue":440},{"from_index":882,"to_index":1252,"sum":139720,"residue":290},{"from_index":1252,"to_index":1622,"sum":136220,"residue":440},{"from_index":1622,"to_index":1992,"sum":130230,"residue":290},{"from_index":1992,"to_index":142,"sum":128920,"residue":440}],"minimal_cycle":[290,440],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[142,512],"circle_positions":730,"cycle_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":[143,513,883,1253,1623,1993],"clock_positions":[143,513,883,1253,1623,1993],"native_values":[297,68,297,433,662,433],"rotation_degrees":23.18918918918919,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[297,68,297,433,662,433],"beta":{"interval_sums":[133372,138918,139942,135998,129722,128698],"interval_residues":[512,218,512,218,512,218],"display_cycle":[512,218,512,218,512,218],"intervals":[{"from_index":143,"to_index":513,"sum":133372,"residue":512},{"from_index":513,"to_index":883,"sum":138918,"residue":218},{"from_index":883,"to_index":1253,"sum":139942,"residue":512},{"from_index":1253,"to_index":1623,"sum":135998,"residue":218},{"from_index":1623,"to_index":1993,"sum":129722,"residue":512},{"from_index":1993,"to_index":143,"sum":128698,"residue":218}],"minimal_cycle":[512,218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":512,"start_interval_clock_positions":[143,513],"circle_positions":730,"cycle_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":[144,514,884,1254,1624,1994],"clock_positions":[144,514,884,1254,1624,1994],"native_values":[508,587,143,222,143,587],"rotation_degrees":23.35135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[508,587,143,222,143,587],"beta":{"interval_sums":[132932,138628,140232,136438,130012,128408],"interval_residues":[72,658,72,658,72,658],"display_cycle":[72,658,72,658,72,658],"intervals":[{"from_index":144,"to_index":514,"sum":132932,"residue":72},{"from_index":514,"to_index":884,"sum":138628,"residue":658},{"from_index":884,"to_index":1254,"sum":140232,"residue":72},{"from_index":1254,"to_index":1624,"sum":136438,"residue":658},{"from_index":1624,"to_index":1994,"sum":130012,"residue":72},{"from_index":1994,"to_index":144,"sum":128408,"residue":658}],"minimal_cycle":[72,658],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[144,514],"circle_positions":730,"cycle_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":[145,515,885,1255,1625,1995],"clock_positions":[145,515,885,1255,1625,1995],"native_values":[75,655,440,655,75,290],"rotation_degrees":23.513513513513512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,655,440,655,75,290],"beta":{"interval_sums":[133444,138116,140014,135926,130524,128626],"interval_residues":[584,146,584,146,584,146],"display_cycle":[584,146,584,146,584,146],"intervals":[{"from_index":145,"to_index":515,"sum":133444,"residue":584},{"from_index":515,"to_index":885,"sum":138116,"residue":146},{"from_index":885,"to_index":1255,"sum":140014,"residue":584},{"from_index":1255,"to_index":1625,"sum":135926,"residue":146},{"from_index":1625,"to_index":1995,"sum":130524,"residue":584},{"from_index":1995,"to_index":145,"sum":128626,"residue":146}],"minimal_cycle":[584,146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[145,515],"circle_positions":730,"cycle_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":[146,516,886,1256,1626,1996],"clock_positions":[146,516,886,1256,1626,1996],"native_values":[583,512,583,147,218,147],"rotation_degrees":23.675675675675677,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[583,512,583,147,218,147],"beta":{"interval_sums":[133516,138044,140086,135854,130596,128554],"interval_residues":[656,74,656,74,656,74],"display_cycle":[656,74,656,74,656,74],"intervals":[{"from_index":146,"to_index":516,"sum":133516,"residue":656},{"from_index":516,"to_index":886,"sum":138044,"residue":74},{"from_index":886,"to_index":1256,"sum":140086,"residue":656},{"from_index":1256,"to_index":1626,"sum":135854,"residue":74},{"from_index":1626,"to_index":1996,"sum":130596,"residue":656},{"from_index":1996,"to_index":146,"sum":128554,"residue":74}],"minimal_cycle":[656,74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":656,"start_interval_clock_positions":[146,516],"circle_positions":730,"cycle_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":[147,517,887,1257,1627,1997],"clock_positions":[147,517,887,1257,1627,1997],"native_values":[658,437,293,72,293,437],"rotation_degrees":23.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[658,437,293,72,293,437],"beta":{"interval_sums":[133370,138190,139940,136000,130450,128700],"interval_residues":[510,220,510,220,510,220],"display_cycle":[510,220,510,220,510,220],"intervals":[{"from_index":147,"to_index":517,"sum":133370,"residue":510},{"from_index":517,"to_index":887,"sum":138190,"residue":220},{"from_index":887,"to_index":1257,"sum":139940,"residue":510},{"from_index":1257,"to_index":1627,"sum":136000,"residue":220},{"from_index":1627,"to_index":1997,"sum":130450,"residue":510},{"from_index":1997,"to_index":147,"sum":128700,"residue":220}],"minimal_cycle":[510,220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[147,517],"circle_positions":730,"cycle_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":[148,518,888,1258,1628,1998],"clock_positions":[148,518,888,1258,1628,1998],"native_values":[511,219,146,219,511,584],"rotation_degrees":24.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[511,219,146,219,511,584],"beta":{"interval_sums":[133296,138264,139866,136074,130376,128774],"interval_residues":[436,294,436,294,436,294],"display_cycle":[436,294,436,294,436,294],"intervals":[{"from_index":148,"to_index":518,"sum":133296,"residue":436},{"from_index":518,"to_index":888,"sum":138264,"residue":294},{"from_index":888,"to_index":1258,"sum":139866,"residue":436},{"from_index":1258,"to_index":1628,"sum":136074,"residue":294},{"from_index":1628,"to_index":1998,"sum":130376,"residue":436},{"from_index":1998,"to_index":148,"sum":128774,"residue":294}],"minimal_cycle":[436,294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[148,518],"circle_positions":730,"cycle_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":[149,519,889,1259,1629,1999],"clock_positions":[149,519,889,1259,1629,1999],"native_values":[439,656,439,291,74,291],"rotation_degrees":24.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[439,656,439,291,74,291],"beta":{"interval_sums":[133076,137754,139646,136294,130886,128994],"interval_residues":[216,514,216,514,216,514],"display_cycle":[216,514,216,514,216,514],"intervals":[{"from_index":149,"to_index":519,"sum":133076,"residue":216},{"from_index":519,"to_index":889,"sum":137754,"residue":514},{"from_index":889,"to_index":1259,"sum":139646,"residue":216},{"from_index":1259,"to_index":1629,"sum":136294,"residue":514},{"from_index":1629,"to_index":1999,"sum":130886,"residue":216},{"from_index":1999,"to_index":149,"sum":128994,"residue":514}],"minimal_cycle":[216,514],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[149,519],"circle_positions":730,"cycle_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":[150,520,890,1260,1630,2000],"clock_positions":[150,520,890,1260,1630,2000],"native_values":[220,145,585,510,585,145],"rotation_degrees":24.324324324324323,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[220,145,585,510,585,145],"beta":{"interval_sums":[133512,138048,139352,135858,130592,129288],"interval_residues":[652,78,652,78,652,78],"display_cycle":[652,78,652,78,652,78],"intervals":[{"from_index":150,"to_index":520,"sum":133512,"residue":652},{"from_index":520,"to_index":890,"sum":138048,"residue":78},{"from_index":890,"to_index":1260,"sum":139352,"residue":652},{"from_index":1260,"to_index":1630,"sum":135858,"residue":78},{"from_index":1630,"to_index":2000,"sum":130592,"residue":652},{"from_index":2000,"to_index":150,"sum":129288,"residue":78}],"minimal_cycle":[652,78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[150,520],"circle_positions":730,"cycle_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":[151,521,891,1261,1631,2001],"clock_positions":[151,521,891,1261,1631,2001],"native_values":[659,71,294,71,659,436],"rotation_degrees":24.486486486486488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[659,71,294,71,659,436],"beta":{"interval_sums":[132998,138562,139568,136372,130078,129072],"interval_residues":[138,592,138,592,138,592],"display_cycle":[138,592,138,592,138,592],"intervals":[{"from_index":151,"to_index":521,"sum":132998,"residue":138},{"from_index":521,"to_index":891,"sum":138562,"residue":592},{"from_index":891,"to_index":1261,"sum":139568,"residue":138},{"from_index":1261,"to_index":1631,"sum":136372,"residue":592},{"from_index":1631,"to_index":2001,"sum":130078,"residue":138},{"from_index":2001,"to_index":151,"sum":129072,"residue":592}],"minimal_cycle":[138,592],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[151,521],"circle_positions":730,"cycle_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":[152,522,892,1262,1632,2002],"clock_positions":[152,522,892,1262,1632,2002],"native_values":[149,216,149,581,514,581],"rotation_degrees":24.64864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,216,149,581,514,581],"beta":{"interval_sums":[132920,138640,139490,136450,130000,129150],"interval_residues":[60,670,60,670,60,670],"display_cycle":[60,670,60,670,60,670],"intervals":[{"from_index":152,"to_index":522,"sum":132920,"residue":60},{"from_index":522,"to_index":892,"sum":138640,"residue":670},{"from_index":892,"to_index":1262,"sum":139490,"residue":60},{"from_index":1262,"to_index":1632,"sum":136450,"residue":670},{"from_index":1632,"to_index":2002,"sum":130000,"residue":60},{"from_index":2002,"to_index":152,"sum":129150,"residue":670}],"minimal_cycle":[60,670],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[152,522],"circle_positions":730,"cycle_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":[153,523,893,1263,1633,2003],"clock_positions":[153,523,893,1263,1633,2003],"native_values":[78,287,443,652,443,287],"rotation_degrees":24.81081081081081,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[78,287,443,652,443,287],"beta":{"interval_sums":[133058,138502,139628,136312,130138,129012],"interval_residues":[198,532,198,532,198,532],"display_cycle":[198,532,198,532,198,532],"intervals":[{"from_index":153,"to_index":523,"sum":133058,"residue":198},{"from_index":523,"to_index":893,"sum":138502,"residue":532},{"from_index":893,"to_index":1263,"sum":139628,"residue":198},{"from_index":1263,"to_index":1633,"sum":136312,"residue":532},{"from_index":1633,"to_index":2003,"sum":130138,"residue":198},{"from_index":2003,"to_index":153,"sum":129012,"residue":532}],"minimal_cycle":[198,532],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[153,523],"circle_positions":730,"cycle_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":[154,524,894,1264,1634,2004],"clock_positions":[154,524,894,1264,1634,2004],"native_values":[227,503,592,503,227,138],"rotation_degrees":24.972972972972972,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,503,592,503,227,138],"beta":{"interval_sums":[133118,138442,139688,136252,130198,128952],"interval_residues":[258,472,258,472,258,472],"display_cycle":[258,472,258,472,258,472],"intervals":[{"from_index":154,"to_index":524,"sum":133118,"residue":258},{"from_index":524,"to_index":894,"sum":138442,"residue":472},{"from_index":894,"to_index":1264,"sum":139688,"residue":258},{"from_index":1264,"to_index":1634,"sum":136252,"residue":472},{"from_index":1634,"to_index":2004,"sum":130198,"residue":258},{"from_index":2004,"to_index":154,"sum":128952,"residue":472}],"minimal_cycle":[258,472],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[154,524],"circle_positions":730,"cycle_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":[155,525,895,1265,1635,2005],"clock_positions":[155,525,895,1265,1635,2005],"native_values":[305,60,305,425,670,425],"rotation_degrees":25.135135135135137,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,60,305,425,670,425],"beta":{"interval_sums":[133316,138974,139886,136054,129666,128754],"interval_residues":[456,274,456,274,456,274],"display_cycle":[456,274,456,274,456,274],"intervals":[{"from_index":155,"to_index":525,"sum":133316,"residue":456},{"from_index":525,"to_index":895,"sum":138974,"residue":274},{"from_index":895,"to_index":1265,"sum":139886,"residue":456},{"from_index":1265,"to_index":1635,"sum":136054,"residue":274},{"from_index":1635,"to_index":2005,"sum":129666,"residue":456},{"from_index":2005,"to_index":155,"sum":128754,"residue":274}],"minimal_cycle":[456,274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[155,525],"circle_positions":730,"cycle_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":[156,526,896,1266,1636,2006],"clock_positions":[156,526,896,1266,1636,2006],"native_values":[532,563,167,198,167,563],"rotation_degrees":25.2972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[532,563,167,198,167,563],"beta":{"interval_sums":[132844,138716,140144,136526,129924,128496],"interval_residues":[714,16,714,16,714,16],"display_cycle":[714,16,714,16,714,16],"intervals":[{"from_index":156,"to_index":526,"sum":132844,"residue":714},{"from_index":526,"to_index":896,"sum":138716,"residue":16},{"from_index":896,"to_index":1266,"sum":140144,"residue":714},{"from_index":1266,"to_index":1636,"sum":136526,"residue":16},{"from_index":1636,"to_index":2006,"sum":129924,"residue":714},{"from_index":2006,"to_index":156,"sum":128496,"residue":16}],"minimal_cycle":[714,16],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":714,"start_interval_clock_positions":[156,526],"circle_positions":730,"cycle_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":[157,527,897,1267,1637,2007],"clock_positions":[157,527,897,1267,1637,2007],"native_values":[107,623,472,623,107,258],"rotation_degrees":25.45945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[107,623,472,623,107,258],"beta":{"interval_sums":[133300,138260,139870,136070,130380,128770],"interval_residues":[440,290,440,290,440,290],"display_cycle":[440,290,440,290,440,290],"intervals":[{"from_index":157,"to_index":527,"sum":133300,"residue":440},{"from_index":527,"to_index":897,"sum":138260,"residue":290},{"from_index":897,"to_index":1267,"sum":139870,"residue":440},{"from_index":1267,"to_index":1637,"sum":136070,"residue":290},{"from_index":1637,"to_index":2007,"sum":130380,"residue":440},{"from_index":2007,"to_index":157,"sum":128770,"residue":290}],"minimal_cycle":[440,290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[157,527],"circle_positions":730,"cycle_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":[158,528,898,1268,1638,2008],"clock_positions":[158,528,898,1268,1638,2008],"native_values":[639,456,639,91,274,91],"rotation_degrees":25.62162162162162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[639,456,639,91,274,91],"beta":{"interval_sums":[133284,138276,139854,136086,130364,128786],"interval_residues":[424,306,424,306,424,306],"display_cycle":[424,306,424,306,424,306],"intervals":[{"from_index":158,"to_index":528,"sum":133284,"residue":424},{"from_index":528,"to_index":898,"sum":138276,"residue":306},{"from_index":898,"to_index":1268,"sum":139854,"residue":424},{"from_index":1268,"to_index":1638,"sum":136086,"residue":306},{"from_index":1638,"to_index":2008,"sum":130364,"residue":424},{"from_index":2008,"to_index":158,"sum":128786,"residue":306}],"minimal_cycle":[424,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[158,528],"circle_positions":730,"cycle_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":[159,529,899,1269,1639,2009],"clock_positions":[159,529,899,1269,1639,2009],"native_values":[16,349,381,714,381,349],"rotation_degrees":25.783783783783782,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[16,349,381,714,381,349],"beta":{"interval_sums":[133724,138566,139564,135646,130074,129076],"interval_residues":[134,596,134,596,134,596],"display_cycle":[134,596,134,596,134,596],"intervals":[{"from_index":159,"to_index":529,"sum":133724,"residue":134},{"from_index":529,"to_index":899,"sum":138566,"residue":596},{"from_index":899,"to_index":1269,"sum":139564,"residue":134},{"from_index":1269,"to_index":1639,"sum":135646,"residue":596},{"from_index":1639,"to_index":2009,"sum":130074,"residue":134},{"from_index":2009,"to_index":159,"sum":129076,"residue":596}],"minimal_cycle":[134,596],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[159,529],"circle_positions":730,"cycle_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":[160,530,900,1270,1640,2010],"clock_positions":[160,530,900,1270,1640,2010],"native_values":[655,75,290,75,655,440],"rotation_degrees":25.945945945945947,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[655,75,290,75,655,440],"beta":{"interval_sums":[133418,138872,139988,135952,129768,128652],"interval_residues":[558,172,558,172,558,172],"display_cycle":[558,172,558,172,558,172],"intervals":[{"from_index":160,"to_index":530,"sum":133418,"residue":558},{"from_index":530,"to_index":900,"sum":138872,"residue":172},{"from_index":900,"to_index":1270,"sum":139988,"residue":558},{"from_index":1270,"to_index":1640,"sum":135952,"residue":172},{"from_index":1640,"to_index":2010,"sum":129768,"residue":558},{"from_index":2010,"to_index":160,"sum":128652,"residue":172}],"minimal_cycle":[558,172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":558,"start_interval_clock_positions":[160,530],"circle_positions":730,"cycle_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":[161,531,901,1271,1641,2011],"clock_positions":[161,531,901,1271,1641,2011],"native_values":[671,424,671,59,306,59],"rotation_degrees":26.10810810810811,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,424,671,59,306,59],"beta":{"interval_sums":[132822,138738,139392,136548,129902,129248],"interval_residues":[692,38,692,38,692,38],"display_cycle":[692,38,692,38,692,38],"intervals":[{"from_index":161,"to_index":531,"sum":132822,"residue":692},{"from_index":531,"to_index":901,"sum":138738,"residue":38},{"from_index":901,"to_index":1271,"sum":139392,"residue":692},{"from_index":1271,"to_index":1641,"sum":136548,"residue":38},{"from_index":1641,"to_index":2011,"sum":129902,"residue":692},{"from_index":2011,"to_index":161,"sum":129248,"residue":38}],"minimal_cycle":[692,38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":692,"start_interval_clock_positions":[161,531],"circle_positions":730,"cycle_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":[162,532,902,1272,1642,2012],"clock_positions":[162,532,902,1272,1642,2012],"native_values":[596,499,231,134,231,499],"rotation_degrees":26.27027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[596,499,231,134,231,499],"beta":{"interval_sums":[132650,138910,139220,136720,129730,129420],"interval_residues":[520,210,520,210,520,210],"display_cycle":[520,210,520,210,520,210],"intervals":[{"from_index":162,"to_index":532,"sum":132650,"residue":520},{"from_index":532,"to_index":902,"sum":138910,"residue":210},{"from_index":902,"to_index":1272,"sum":139220,"residue":520},{"from_index":1272,"to_index":1642,"sum":136720,"residue":210},{"from_index":1642,"to_index":2012,"sum":129730,"residue":520},{"from_index":2012,"to_index":162,"sum":129420,"residue":210}],"minimal_cycle":[520,210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":520,"start_interval_clock_positions":[162,532],"circle_positions":730,"cycle_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":[163,533,903,1273,1643,2013],"clock_positions":[163,533,903,1273,1643,2013],"native_values":[537,193,172,193,537,558],"rotation_degrees":26.43243243243243,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[537,193,172,193,537,558],"beta":{"interval_sums":[132612,138948,139182,136758,129692,129458],"interval_residues":[482,248,482,248,482,248],"display_cycle":[482,248,482,248,482,248],"intervals":[{"from_index":163,"to_index":533,"sum":132612,"residue":482},{"from_index":533,"to_index":903,"sum":138948,"residue":248},{"from_index":903,"to_index":1273,"sum":139182,"residue":482},{"from_index":1273,"to_index":1643,"sum":136758,"residue":248},{"from_index":1643,"to_index":2013,"sum":129692,"residue":482},{"from_index":2013,"to_index":163,"sum":129458,"residue":248}],"minimal_cycle":[482,248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":482,"start_interval_clock_positions":[163,533],"circle_positions":730,"cycle_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":[164,534,904,1274,1644,2014],"clock_positions":[164,534,904,1274,1644,2014],"native_values":[403,692,403,327,38,327],"rotation_degrees":26.594594594594593,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[403,692,403,327,38,327],"beta":{"interval_sums":[132402,138428,138972,136968,130212,129668],"interval_residues":[272,458,272,458,272,458],"display_cycle":[272,458,272,458,272,458],"intervals":[{"from_index":164,"to_index":534,"sum":132402,"residue":272},{"from_index":534,"to_index":904,"sum":138428,"residue":458},{"from_index":904,"to_index":1274,"sum":138972,"residue":272},{"from_index":1274,"to_index":1644,"sum":136968,"residue":458},{"from_index":1644,"to_index":2014,"sum":130212,"residue":272},{"from_index":2014,"to_index":164,"sum":129668,"residue":458}],"minimal_cycle":[272,458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":272,"start_interval_clock_positions":[164,534],"circle_positions":730,"cycle_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":[165,535,905,1275,1645,2015],"clock_positions":[165,535,905,1275,1645,2015],"native_values":[210,155,575,520,575,155],"rotation_degrees":26.756756756756758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[210,155,575,520,575,155],"beta":{"interval_sums":[132884,138676,138724,136486,129964,129916],"interval_residues":[24,706,24,706,24,706],"display_cycle":[24,706,24,706,24,706],"intervals":[{"from_index":165,"to_index":535,"sum":132884,"residue":24},{"from_index":535,"to_index":905,"sum":138676,"residue":706},{"from_index":905,"to_index":1275,"sum":138724,"residue":24},{"from_index":1275,"to_index":1645,"sum":136486,"residue":706},{"from_index":1645,"to_index":2015,"sum":129964,"residue":24},{"from_index":2015,"to_index":165,"sum":129916,"residue":706}],"minimal_cycle":[24,706],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":24,"start_interval_clock_positions":[165,535],"circle_positions":730,"cycle_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":[166,536,906,1276,1646,2016],"clock_positions":[166,536,906,1276,1646,2016],"native_values":[613,117,248,117,613,482],"rotation_degrees":26.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[613,117,248,117,613,482],"beta":{"interval_sums":[132426,139134,138996,136944,129506,129644],"interval_residues":[296,434,296,434,296,434],"display_cycle":[296,434,296,434,296,434],"intervals":[{"from_index":166,"to_index":536,"sum":132426,"residue":296},{"from_index":536,"to_index":906,"sum":139134,"residue":434},{"from_index":906,"to_index":1276,"sum":138996,"residue":296},{"from_index":1276,"to_index":1646,"sum":136944,"residue":434},{"from_index":1646,"to_index":2016,"sum":129506,"residue":296},{"from_index":2016,"to_index":166,"sum":129644,"residue":434}],"minimal_cycle":[296,434],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[166,536],"circle_positions":730,"cycle_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":[167,537,907,1277,1647,2017],"clock_positions":[167,537,907,1277,1647,2017],"native_values":[93,272,93,637,458,637],"rotation_degrees":27.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,272,93,637,458,637],"beta":{"interval_sums":[132450,139110,139020,136920,129530,129620],"interval_residues":[320,410,320,410,320,410],"display_cycle":[320,410,320,410,320,410],"intervals":[{"from_index":167,"to_index":537,"sum":132450,"residue":320},{"from_index":537,"to_index":907,"sum":139110,"residue":410},{"from_index":907,"to_index":1277,"sum":139020,"residue":320},{"from_index":1277,"to_index":1647,"sum":136920,"residue":410},{"from_index":1647,"to_index":2017,"sum":129530,"residue":320},{"from_index":2017,"to_index":167,"sum":129620,"residue":410}],"minimal_cycle":[320,410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[167,537],"circle_positions":730,"cycle_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":[168,538,908,1278,1648,2018],"clock_positions":[168,538,908,1278,1648,2018],"native_values":[706,389,341,24,341,389],"rotation_degrees":27.243243243243242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[706,389,341,24,341,389],"beta":{"interval_sums":[132016,138814,139316,137354,129826,129324],"interval_residues":[616,114,616,114,616,114],"display_cycle":[616,114,616,114,616,114],"intervals":[{"from_index":168,"to_index":538,"sum":132016,"residue":616},{"from_index":538,"to_index":908,"sum":138814,"residue":114},{"from_index":908,"to_index":1278,"sum":139316,"residue":616},{"from_index":1278,"to_index":1648,"sum":137354,"residue":114},{"from_index":1648,"to_index":2018,"sum":129826,"residue":616},{"from_index":2018,"to_index":168,"sum":129324,"residue":114}],"minimal_cycle":[616,114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":616,"start_interval_clock_positions":[168,538],"circle_positions":730,"cycle_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":[169,539,909,1279,1649,2019],"clock_positions":[169,539,909,1279,1649,2019],"native_values":[69,661,434,661,69,296],"rotation_degrees":27.405405405405407,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[69,661,434,661,69,296],"beta":{"interval_sums":[132336,138494,138906,137034,130146,129734],"interval_residues":[206,524,206,524,206,524],"display_cycle":[206,524,206,524,206,524],"intervals":[{"from_index":169,"to_index":539,"sum":132336,"residue":206},{"from_index":539,"to_index":909,"sum":138494,"residue":524},{"from_index":909,"to_index":1279,"sum":138906,"residue":206},{"from_index":1279,"to_index":1649,"sum":137034,"residue":524},{"from_index":1649,"to_index":2019,"sum":130146,"residue":206},{"from_index":2019,"to_index":169,"sum":129734,"residue":524}],"minimal_cycle":[206,524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[169,539],"circle_positions":730,"cycle_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":[170,540,910,1280,1650,2020],"clock_positions":[170,540,910,1280,1650,2020],"native_values":[45,320,45,685,410,685],"rotation_degrees":27.56756756756757,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,320,45,685,410,685],"beta":{"interval_sums":[132952,138608,139522,136418,130032,129118],"interval_residues":[92,638,92,638,92,638],"display_cycle":[92,638,92,638,92,638],"intervals":[{"from_index":170,"to_index":540,"sum":132952,"residue":92},{"from_index":540,"to_index":910,"sum":138608,"residue":638},{"from_index":910,"to_index":1280,"sum":139522,"residue":92},{"from_index":1280,"to_index":1650,"sum":136418,"residue":638},{"from_index":1650,"to_index":2020,"sum":130032,"residue":92},{"from_index":2020,"to_index":170,"sum":129118,"residue":638}],"minimal_cycle":[92,638],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[170,540],"circle_positions":730,"cycle_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":[171,541,911,1281,1651,2021],"clock_positions":[171,541,911,1281,1651,2021],"native_values":[114,251,479,616,479,251],"rotation_degrees":27.72972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[114,251,479,616,479,251],"beta":{"interval_sums":[133158,138402,139728,136212,130238,128912],"interval_residues":[298,432,298,432,298,432],"display_cycle":[298,432,298,432,298,432],"intervals":[{"from_index":171,"to_index":541,"sum":133158,"residue":298},{"from_index":541,"to_index":911,"sum":138402,"residue":432},{"from_index":911,"to_index":1281,"sum":139728,"residue":298},{"from_index":1281,"to_index":1651,"sum":136212,"residue":432},{"from_index":1651,"to_index":2021,"sum":130238,"residue":298},{"from_index":2021,"to_index":171,"sum":128912,"residue":432}],"minimal_cycle":[298,432],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[171,541],"circle_positions":730,"cycle_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":[172,542,912,1282,1652,2022],"clock_positions":[172,542,912,1282,1652,2022],"native_values":[159,571,524,571,159,206],"rotation_degrees":27.89189189189189,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[159,571,524,571,159,206],"beta":{"interval_sums":[133250,138310,139820,136120,130330,128820],"interval_residues":[390,340,390,340,390,340],"display_cycle":[390,340,390,340,390,340],"intervals":[{"from_index":172,"to_index":542,"sum":133250,"residue":390},{"from_index":542,"to_index":912,"sum":138310,"residue":340},{"from_index":912,"to_index":1282,"sum":139820,"residue":390},{"from_index":1282,"to_index":1652,"sum":136120,"residue":340},{"from_index":1652,"to_index":2022,"sum":130330,"residue":390},{"from_index":2022,"to_index":172,"sum":128820,"residue":340}],"minimal_cycle":[390,340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":390,"start_interval_clock_positions":[172,542],"circle_positions":730,"cycle_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":[173,543,913,1283,1653,2023],"clock_positions":[173,543,913,1283,1653,2023],"native_values":[273,92,273,457,638,457],"rotation_degrees":28.054054054054053,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[273,92,273,457,638,457],"beta":{"interval_sums":[133548,138742,140118,135822,129898,128522],"interval_residues":[688,42,688,42,688,42],"display_cycle":[688,42,688,42,688,42],"intervals":[{"from_index":173,"to_index":543,"sum":133548,"residue":688},{"from_index":543,"to_index":913,"sum":138742,"residue":42},{"from_index":913,"to_index":1283,"sum":140118,"residue":688},{"from_index":1283,"to_index":1653,"sum":135822,"residue":42},{"from_index":1653,"to_index":2023,"sum":129898,"residue":688},{"from_index":2023,"to_index":173,"sum":128522,"residue":42}],"minimal_cycle":[688,42],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":688,"start_interval_clock_positions":[173,543],"circle_positions":730,"cycle_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":[174,544,914,1284,1654,2024],"clock_positions":[174,544,914,1284,1654,2024],"native_values":[432,663,67,298,67,663],"rotation_degrees":28.216216216216218,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[432,663,67,298,67,663],"beta":{"interval_sums":[133208,138352,140508,136162,130288,128132],"interval_residues":[348,382,348,382,348,382],"display_cycle":[348,382,348,382,348,382],"intervals":[{"from_index":174,"to_index":544,"sum":133208,"residue":348},{"from_index":544,"to_index":914,"sum":138352,"residue":382},{"from_index":914,"to_index":1284,"sum":140508,"residue":348},{"from_index":1284,"to_index":1654,"sum":136162,"residue":382},{"from_index":1654,"to_index":2024,"sum":130288,"residue":348},{"from_index":2024,"to_index":174,"sum":128132,"residue":382}],"minimal_cycle":[348,382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[174,544],"circle_positions":730,"cycle_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":[175,545,915,1285,1655,2025],"clock_positions":[175,545,915,1285,1655,2025],"native_values":[705,25,340,25,705,390],"rotation_degrees":28.37837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,25,340,25,705,390],"beta":{"interval_sums":[133166,138394,140466,136204,130246,128174],"interval_residues":[306,424,306,424,306,424],"display_cycle":[306,424,306,424,306,424],"intervals":[{"from_index":175,"to_index":545,"sum":133166,"residue":306},{"from_index":545,"to_index":915,"sum":138394,"residue":424},{"from_index":915,"to_index":1285,"sum":140466,"residue":306},{"from_index":1285,"to_index":1655,"sum":136204,"residue":424},{"from_index":1655,"to_index":2025,"sum":130246,"residue":306},{"from_index":2025,"to_index":175,"sum":128174,"residue":424}],"minimal_cycle":[306,424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[175,545],"circle_positions":730,"cycle_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":[176,546,916,1286,1656,2026],"clock_positions":[176,546,916,1286,1656,2026],"native_values":[407,688,407,323,42,323],"rotation_degrees":28.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[407,688,407,323,42,323],"beta":{"interval_sums":[132784,138046,140084,136586,130594,128556],"interval_residues":[654,76,654,76,654,76],"display_cycle":[654,76,654,76,654,76],"intervals":[{"from_index":176,"to_index":546,"sum":132784,"residue":654},{"from_index":546,"to_index":916,"sum":138046,"residue":76},{"from_index":916,"to_index":1286,"sum":140084,"residue":654},{"from_index":1286,"to_index":1656,"sum":136586,"residue":76},{"from_index":1656,"to_index":2026,"sum":130594,"residue":654},{"from_index":2026,"to_index":176,"sum":128556,"residue":76}],"minimal_cycle":[654,76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":654,"start_interval_clock_positions":[176,546],"circle_positions":730,"cycle_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":[177,547,917,1287,1657,2027],"clock_positions":[177,547,917,1287,1657,2027],"native_values":[382,713,17,348,17,713],"rotation_degrees":28.7027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[382,713,17,348,17,713],"beta":{"interval_sums":[133090,137740,140390,136280,130900,128250],"interval_residues":[230,500,230,500,230,500],"display_cycle":[230,500,230,500,230,500],"intervals":[{"from_index":177,"to_index":547,"sum":133090,"residue":230},{"from_index":547,"to_index":917,"sum":137740,"residue":500},{"from_index":917,"to_index":1287,"sum":140390,"residue":230},{"from_index":1287,"to_index":1657,"sum":136280,"residue":500},{"from_index":1657,"to_index":2027,"sum":130900,"residue":230},{"from_index":2027,"to_index":177,"sum":128250,"residue":500}],"minimal_cycle":[230,500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[177,547],"circle_positions":730,"cycle_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":[178,548,918,1288,1658,2028],"clock_positions":[178,548,918,1288,1658,2028],"native_values":[59,671,424,671,59,306],"rotation_degrees":28.864864864864863,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[59,671,424,671,59,306],"beta":{"interval_sums":[133744,137086,140314,135626,131554,128326],"interval_residues":[154,576,154,576,154,576],"display_cycle":[154,576,154,576,154,576],"intervals":[{"from_index":178,"to_index":548,"sum":133744,"residue":154},{"from_index":548,"to_index":918,"sum":137086,"residue":576},{"from_index":918,"to_index":1288,"sum":140314,"residue":154},{"from_index":1288,"to_index":1658,"sum":135626,"residue":576},{"from_index":1658,"to_index":2028,"sum":131554,"residue":154},{"from_index":2028,"to_index":178,"sum":128326,"residue":576}],"minimal_cycle":[154,576],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":154,"start_interval_clock_positions":[178,548],"circle_positions":730,"cycle_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":[179,549,919,1289,1659,2029],"clock_positions":[179,549,919,1289,1659,2029],"native_values":[441,654,441,289,76,289],"rotation_degrees":29.027027027027028,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,654,441,289,76,289],"beta":{"interval_sums":[133974,136856,140544,135396,131784,128096],"interval_residues":[384,346,384,346,384,346],"display_cycle":[384,346,384,346,384,346],"intervals":[{"from_index":179,"to_index":549,"sum":133974,"residue":384},{"from_index":549,"to_index":919,"sum":136856,"residue":346},{"from_index":919,"to_index":1289,"sum":140544,"residue":384},{"from_index":1289,"to_index":1659,"sum":135396,"residue":346},{"from_index":1659,"to_index":2029,"sum":131784,"residue":384},{"from_index":2029,"to_index":179,"sum":128096,"residue":346}],"minimal_cycle":[384,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[179,549],"circle_positions":730,"cycle_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":[180,550,920,1290,1660,2030],"clock_positions":[180,550,920,1290,1660,2030],"native_values":[500,595,135,230,135,595],"rotation_degrees":29.18918918918919,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[500,595,135,230,135,595],"beta":{"interval_sums":[134128,136702,140698,135242,131938,127942],"interval_residues":[538,192,538,192,538,192],"display_cycle":[538,192,538,192,538,192],"intervals":[{"from_index":180,"to_index":550,"sum":134128,"residue":538},{"from_index":550,"to_index":920,"sum":136702,"residue":192},{"from_index":920,"to_index":1290,"sum":140698,"residue":538},{"from_index":1290,"to_index":1660,"sum":135242,"residue":192},{"from_index":1660,"to_index":2030,"sum":131938,"residue":538},{"from_index":2030,"to_index":180,"sum":127942,"residue":192}],"minimal_cycle":[538,192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":538,"start_interval_clock_positions":[180,550],"circle_positions":730,"cycle_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":[181,551,921,1291,1661,2031],"clock_positions":[181,551,921,1291,1661,2031],"native_values":[211,519,576,519,211,154],"rotation_degrees":29.35135135135135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,519,576,519,211,154],"beta":{"interval_sums":[134512,136318,140352,134858,132322,128288],"interval_residues":[192,538,192,538,192,538],"display_cycle":[192,538,192,538,192,538],"intervals":[{"from_index":181,"to_index":551,"sum":134512,"residue":192},{"from_index":551,"to_index":921,"sum":136318,"residue":538},{"from_index":921,"to_index":1291,"sum":140352,"residue":192},{"from_index":1291,"to_index":1661,"sum":134858,"residue":538},{"from_index":1661,"to_index":2031,"sum":132322,"residue":192},{"from_index":2031,"to_index":181,"sum":128288,"residue":538}],"minimal_cycle":[192,538],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[181,551],"circle_positions":730,"cycle_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":[182,552,922,1292,1662,2032],"clock_positions":[182,552,922,1292,1662,2032],"native_values":[711,384,711,19,346,19],"rotation_degrees":29.513513513513512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[711,384,711,19,346,19],"beta":{"interval_sums":[134320,136510,140160,135050,132130,128480],"interval_residues":[0,0,0,0,0,0],"display_cycle":[730,730,730,730,730,730],"intervals":[{"from_index":182,"to_index":552,"sum":134320,"residue":0},{"from_index":552,"to_index":922,"sum":136510,"residue":0},{"from_index":922,"to_index":1292,"sum":140160,"residue":0},{"from_index":1292,"to_index":1662,"sum":135050,"residue":0},{"from_index":1662,"to_index":2032,"sum":132130,"residue":0},{"from_index":2032,"to_index":182,"sum":128480,"residue":0}],"minimal_cycle":[0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":730,"start_interval_clock_positions":[182,552],"circle_positions":730,"cycle_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":[183,553,923,1293,1663,2033],"clock_positions":[183,553,923,1293,1663,2033],"native_values":[192,173,557,538,557,173],"rotation_degrees":29.675675675675677,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[192,173,557,538,557,173],"beta":{"interval_sums":[134512,137048,139622,134858,131592,129018],"interval_residues":[192,538,192,538,192,538],"display_cycle":[192,538,192,538,192,538],"intervals":[{"from_index":183,"to_index":553,"sum":134512,"residue":192},{"from_index":553,"to_index":923,"sum":137048,"residue":538},{"from_index":923,"to_index":1293,"sum":139622,"residue":192},{"from_index":1293,"to_index":1663,"sum":134858,"residue":538},{"from_index":1663,"to_index":2033,"sum":131592,"residue":192},{"from_index":2033,"to_index":183,"sum":129018,"residue":538}],"minimal_cycle":[192,538],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[183,553],"circle_positions":730,"cycle_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":[184,554,924,1294,1664,2034],"clock_positions":[184,554,924,1294,1664,2034],"native_values":[173,557,538,557,173,192],"rotation_degrees":29.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,557,538,557,173,192],"beta":{"interval_sums":[134512,137048,139622,134858,131592,129018],"interval_residues":[192,538,192,538,192,538],"display_cycle":[192,538,192,538,192,538],"intervals":[{"from_index":184,"to_index":554,"sum":134512,"residue":192},{"from_index":554,"to_index":924,"sum":137048,"residue":538},{"from_index":924,"to_index":1294,"sum":139622,"residue":192},{"from_index":1294,"to_index":1664,"sum":134858,"residue":538},{"from_index":1664,"to_index":2034,"sum":131592,"residue":192},{"from_index":2034,"to_index":184,"sum":129018,"residue":538}],"minimal_cycle":[192,538],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[184,554],"circle_positions":730,"cycle_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":[185,555,925,1295,1665,2035],"clock_positions":[185,555,925,1295,1665,2035],"native_values":[365,730,365,365,730,365],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[365,730,365],"beta":{"interval_sums":[134704,137586,139814,134666,131784,128826],"interval_residues":[384,346,384,346,384,346],"display_cycle":[384,346,384,346,384,346],"intervals":[{"from_index":185,"to_index":555,"sum":134704,"residue":384},{"from_index":555,"to_index":925,"sum":137586,"residue":346},{"from_index":925,"to_index":1295,"sum":139814,"residue":384},{"from_index":1295,"to_index":1665,"sum":134666,"residue":346},{"from_index":1665,"to_index":2035,"sum":131784,"residue":384},{"from_index":2035,"to_index":185,"sum":128826,"residue":346}],"minimal_cycle":[384,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[185,555],"circle_positions":730,"cycle_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":[186,556,926,1296,1666,2036],"clock_positions":[186,556,926,1296,1666,2036],"native_values":[538,557,173,192,173,557],"rotation_degrees":30.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[538,557,173,192,173,557],"beta":{"interval_sums":[134166,137394,140006,134474,131976,128634],"interval_residues":[576,154,576,154,576,154],"display_cycle":[576,154,576,154,576,154],"intervals":[{"from_index":186,"to_index":556,"sum":134166,"residue":576},{"from_index":556,"to_index":926,"sum":137394,"residue":154},{"from_index":926,"to_index":1296,"sum":140006,"residue":576},{"from_index":1296,"to_index":1666,"sum":134474,"residue":154},{"from_index":1666,"to_index":2036,"sum":131976,"residue":576},{"from_index":2036,"to_index":186,"sum":128634,"residue":154}],"minimal_cycle":[576,154],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":576,"start_interval_clock_positions":[186,556],"circle_positions":730,"cycle_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":[187,557,927,1297,1667,2037],"clock_positions":[187,557,927,1297,1667,2037],"native_values":[173,557,538,557,173,192],"rotation_degrees":30.324324324324323,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,557,538,557,173,192],"beta":{"interval_sums":[134550,137010,139660,134090,132360,128980],"interval_residues":[230,500,230,500,230,500],"display_cycle":[230,500,230,500,230,500],"intervals":[{"from_index":187,"to_index":557,"sum":134550,"residue":230},{"from_index":557,"to_index":927,"sum":137010,"residue":500},{"from_index":927,"to_index":1297,"sum":139660,"residue":230},{"from_index":1297,"to_index":1667,"sum":134090,"residue":500},{"from_index":1667,"to_index":2037,"sum":132360,"residue":230},{"from_index":2037,"to_index":187,"sum":128980,"residue":500}],"minimal_cycle":[230,500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[187,557],"circle_positions":730,"cycle_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":[188,558,928,1298,1668,2038],"clock_positions":[188,558,928,1298,1668,2038],"native_values":[711,384,711,19,346,19],"rotation_degrees":30.486486486486488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[711,384,711,19,346,19],"beta":{"interval_sums":[134396,137164,139506,134244,132206,129134],"interval_residues":[76,654,76,654,76,654],"display_cycle":[76,654,76,654,76,654],"intervals":[{"from_index":188,"to_index":558,"sum":134396,"residue":76},{"from_index":558,"to_index":928,"sum":137164,"residue":654},{"from_index":928,"to_index":1298,"sum":139506,"residue":76},{"from_index":1298,"to_index":1668,"sum":134244,"residue":654},{"from_index":1668,"to_index":2038,"sum":132206,"residue":76},{"from_index":2038,"to_index":188,"sum":129134,"residue":654}],"minimal_cycle":[76,654],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[188,558],"circle_positions":730,"cycle_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":[189,559,929,1299,1669,2039],"clock_positions":[189,559,929,1299,1669,2039],"native_values":[154,211,519,576,519,211],"rotation_degrees":30.64864864864865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[154,211,519,576,519,211],"beta":{"interval_sums":[134626,137664,139006,134014,131706,129634],"interval_residues":[306,424,306,424,306,424],"display_cycle":[306,424,306,424,306,424],"intervals":[{"from_index":189,"to_index":559,"sum":134626,"residue":306},{"from_index":559,"to_index":929,"sum":137664,"residue":424},{"from_index":929,"to_index":1299,"sum":139006,"residue":306},{"from_index":1299,"to_index":1669,"sum":134014,"residue":424},{"from_index":1669,"to_index":2039,"sum":131706,"residue":306},{"from_index":2039,"to_index":189,"sum":129634,"residue":424}],"minimal_cycle":[306,424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[189,559],"circle_positions":730,"cycle_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":[190,560,930,1300,1670,2040],"clock_positions":[190,560,930,1300,1670,2040],"native_values":[135,595,500,595,135,230],"rotation_degrees":30.81081081081081,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,595,500,595,135,230],"beta":{"interval_sums":[134702,137588,139082,133938,131782,129558],"interval_residues":[382,348,382,348,382,348],"display_cycle":[382,348,382,348,382,348],"intervals":[{"from_index":190,"to_index":560,"sum":134702,"residue":382},{"from_index":560,"to_index":930,"sum":137588,"residue":348},{"from_index":930,"to_index":1300,"sum":139082,"residue":382},{"from_index":1300,"to_index":1670,"sum":133938,"residue":348},{"from_index":1670,"to_index":2040,"sum":131782,"residue":382},{"from_index":2040,"to_index":190,"sum":129558,"residue":348}],"minimal_cycle":[382,348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[190,560],"circle_positions":730,"cycle_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":[191,561,931,1301,1671,2041],"clock_positions":[191,561,931,1301,1671,2041],"native_values":[289,76,289,441,654,441],"rotation_degrees":30.972972972972972,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[289,76,289,441,654,441],"beta":{"interval_sums":[135008,138012,139388,133632,131358,129252],"interval_residues":[688,42,688,42,688,42],"display_cycle":[688,42,688,42,688,42],"intervals":[{"from_index":191,"to_index":561,"sum":135008,"residue":688},{"from_index":561,"to_index":931,"sum":138012,"residue":42},{"from_index":931,"to_index":1301,"sum":139388,"residue":688},{"from_index":1301,"to_index":1671,"sum":133632,"residue":42},{"from_index":1671,"to_index":2041,"sum":131358,"residue":688},{"from_index":2041,"to_index":191,"sum":129252,"residue":42}],"minimal_cycle":[688,42],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":688,"start_interval_clock_positions":[191,561],"circle_positions":730,"cycle_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":[192,562,932,1302,1672,2042],"clock_positions":[192,562,932,1302,1672,2042],"native_values":[424,671,59,306,59,671],"rotation_degrees":31.135135135135137,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[424,671,59,306,59,671],"beta":{"interval_sums":[134660,137630,139770,133980,131740,128870],"interval_residues":[340,390,340,390,340,390],"display_cycle":[340,390,340,390,340,390],"intervals":[{"from_index":192,"to_index":562,"sum":134660,"residue":340},{"from_index":562,"to_index":932,"sum":137630,"residue":390},{"from_index":932,"to_index":1302,"sum":139770,"residue":340},{"from_index":1302,"to_index":1672,"sum":133980,"residue":390},{"from_index":1672,"to_index":2042,"sum":131740,"residue":340},{"from_index":2042,"to_index":192,"sum":128870,"residue":390}],"minimal_cycle":[340,390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":340,"start_interval_clock_positions":[192,562],"circle_positions":730,"cycle_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":[193,563,933,1303,1673,2043],"clock_positions":[193,563,933,1303,1673,2043],"native_values":[713,17,348,17,713,382],"rotation_degrees":31.2972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[713,17,348,17,713,382],"beta":{"interval_sums":[134618,137672,139728,134022,131698,128912],"interval_residues":[298,432,298,432,298,432],"display_cycle":[298,432,298,432,298,432],"intervals":[{"from_index":193,"to_index":563,"sum":134618,"residue":298},{"from_index":563,"to_index":933,"sum":137672,"residue":432},{"from_index":933,"to_index":1303,"sum":139728,"residue":298},{"from_index":1303,"to_index":1673,"sum":134022,"residue":432},{"from_index":1673,"to_index":2043,"sum":131698,"residue":298},{"from_index":2043,"to_index":193,"sum":128912,"residue":432}],"minimal_cycle":[298,432],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[193,563],"circle_positions":730,"cycle_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":[194,564,934,1304,1674,2044],"clock_positions":[194,564,934,1304,1674,2044],"native_values":[407,688,407,323,42,323],"rotation_degrees":31.45945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[407,688,407,323,42,323],"beta":{"interval_sums":[134228,137332,139338,134412,132038,129302],"interval_residues":[638,92,638,92,638,92],"display_cycle":[638,92,638,92,638,92],"intervals":[{"from_index":194,"to_index":564,"sum":134228,"residue":638},{"from_index":564,"to_index":934,"sum":137332,"residue":92},{"from_index":934,"to_index":1304,"sum":139338,"residue":638},{"from_index":1304,"to_index":1674,"sum":134412,"residue":92},{"from_index":1674,"to_index":2044,"sum":132038,"residue":638},{"from_index":2044,"to_index":194,"sum":129302,"residue":92}],"minimal_cycle":[638,92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[194,564],"circle_positions":730,"cycle_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":[195,565,935,1305,1675,2045],"clock_positions":[195,565,935,1305,1675,2045],"native_values":[390,705,25,340,25,705],"rotation_degrees":31.62162162162162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[390,705,25,340,25,705],"beta":{"interval_sums":[134526,137034,139636,134114,132336,129004],"interval_residues":[206,524,206,524,206,524],"display_cycle":[206,524,206,524,206,524],"intervals":[{"from_index":195,"to_index":565,"sum":134526,"residue":206},{"from_index":565,"to_index":935,"sum":137034,"residue":524},{"from_index":935,"to_index":1305,"sum":139636,"residue":206},{"from_index":1305,"to_index":1675,"sum":134114,"residue":524},{"from_index":1675,"to_index":2045,"sum":132336,"residue":206},{"from_index":2045,"to_index":195,"sum":129004,"residue":524}],"minimal_cycle":[206,524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[195,565],"circle_positions":730,"cycle_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":[196,566,936,1306,1676,2046],"clock_positions":[196,566,936,1306,1676,2046],"native_values":[67,663,432,663,67,298],"rotation_degrees":31.783783783783782,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[67,663,432,663,67,298],"beta":{"interval_sums":[135164,136396,139544,133476,132974,129096],"interval_residues":[114,616,114,616,114,616],"display_cycle":[114,616,114,616,114,616],"intervals":[{"from_index":196,"to_index":566,"sum":135164,"residue":114},{"from_index":566,"to_index":936,"sum":136396,"residue":616},{"from_index":936,"to_index":1306,"sum":139544,"residue":114},{"from_index":1306,"to_index":1676,"sum":133476,"residue":616},{"from_index":1676,"to_index":2046,"sum":132974,"residue":114},{"from_index":2046,"to_index":196,"sum":129096,"residue":616}],"minimal_cycle":[114,616],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[196,566],"circle_positions":730,"cycle_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":[197,567,937,1307,1677,2047],"clock_positions":[197,567,937,1307,1677,2047],"native_values":[457,638,457,273,92,273],"rotation_degrees":31.945945945945947,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,638,457,273,92,273],"beta":{"interval_sums":[135370,136190,139750,133270,133180,128890],"interval_residues":[320,410,320,410,320,410],"display_cycle":[320,410,320,410,320,410],"intervals":[{"from_index":197,"to_index":567,"sum":135370,"residue":320},{"from_index":567,"to_index":937,"sum":136190,"residue":410},{"from_index":937,"to_index":1307,"sum":139750,"residue":320},{"from_index":1307,"to_index":1677,"sum":133270,"residue":410},{"from_index":1677,"to_index":2047,"sum":133180,"residue":320},{"from_index":2047,"to_index":197,"sum":128890,"residue":410}],"minimal_cycle":[320,410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[197,567],"circle_positions":730,"cycle_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":[198,568,938,1308,1678,2048],"clock_positions":[198,568,938,1308,1678,2048],"native_values":[524,571,159,206,159,571],"rotation_degrees":32.108108108108105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[524,571,159,206,159,571],"beta":{"interval_sums":[135484,136076,139864,133156,133294,128776],"interval_residues":[434,296,434,296,434,296],"display_cycle":[434,296,434,296,434,296],"intervals":[{"from_index":198,"to_index":568,"sum":135484,"residue":434},{"from_index":568,"to_index":938,"sum":136076,"residue":296},{"from_index":938,"to_index":1308,"sum":139864,"residue":434},{"from_index":1308,"to_index":1678,"sum":133156,"residue":296},{"from_index":1678,"to_index":2048,"sum":133294,"residue":434},{"from_index":2048,"to_index":198,"sum":128776,"residue":296}],"minimal_cycle":[434,296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[198,568],"circle_positions":730,"cycle_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":[199,569,939,1309,1679,2049],"clock_positions":[199,569,939,1309,1679,2049],"native_values":[251,479,616,479,251,114],"rotation_degrees":32.270270270270274,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[251,479,616,479,251,114],"beta":{"interval_sums":[135804,135756,139454,132836,133614,129186],"interval_residues":[24,706,24,706,24,706],"display_cycle":[24,706,24,706,24,706],"intervals":[{"from_index":199,"to_index":569,"sum":135804,"residue":24},{"from_index":569,"to_index":939,"sum":135756,"residue":706},{"from_index":939,"to_index":1309,"sum":139454,"residue":24},{"from_index":1309,"to_index":1679,"sum":132836,"residue":706},{"from_index":1679,"to_index":2049,"sum":133614,"residue":24},{"from_index":2049,"to_index":199,"sum":129186,"residue":706}],"minimal_cycle":[24,706],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":24,"start_interval_clock_positions":[199,569],"circle_positions":730,"cycle_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":[200,570,940,1310,1680,2050],"clock_positions":[200,570,940,1310,1680,2050],"native_values":[45,320,45,685,410,685],"rotation_degrees":32.432432432432435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,320,45,685,410,685],"beta":{"interval_sums":[136238,136052,139888,132402,133318,128752],"interval_residues":[458,272,458,272,458,272],"display_cycle":[458,272,458,272,458,272],"intervals":[{"from_index":200,"to_index":570,"sum":136238,"residue":458},{"from_index":570,"to_index":940,"sum":136052,"residue":272},{"from_index":940,"to_index":1310,"sum":139888,"residue":458},{"from_index":1310,"to_index":1680,"sum":132402,"residue":272},{"from_index":1680,"to_index":2050,"sum":133318,"residue":458},{"from_index":2050,"to_index":200,"sum":128752,"residue":272}],"minimal_cycle":[458,272],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":458,"start_interval_clock_positions":[200,570],"circle_positions":730,"cycle_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":[201,571,941,1311,1681,2051],"clock_positions":[201,571,941,1311,1681,2051],"native_values":[296,69,661,434,661,69],"rotation_degrees":32.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[296,69,661,434,661,69],"beta":{"interval_sums":[136262,136028,139912,132378,133342,128728],"interval_residues":[482,248,482,248,482,248],"display_cycle":[482,248,482,248,482,248],"intervals":[{"from_index":201,"to_index":571,"sum":136262,"residue":482},{"from_index":571,"to_index":941,"sum":136028,"residue":248},{"from_index":941,"to_index":1311,"sum":139912,"residue":482},{"from_index":1311,"to_index":1681,"sum":132378,"residue":248},{"from_index":1681,"to_index":2051,"sum":133342,"residue":482},{"from_index":2051,"to_index":201,"sum":128728,"residue":248}],"minimal_cycle":[482,248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":482,"start_interval_clock_positions":[201,571],"circle_positions":730,"cycle_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":[202,572,942,1312,1682,2052],"clock_positions":[202,572,942,1312,1682,2052],"native_values":[341,389,706,389,341,24],"rotation_degrees":32.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,389,706,389,341,24],"beta":{"interval_sums":[135990,136300,139640,132650,133070,129000],"interval_residues":[210,520,210,520,210,520],"display_cycle":[210,520,210,520,210,520],"intervals":[{"from_index":202,"to_index":572,"sum":135990,"residue":210},{"from_index":572,"to_index":942,"sum":136300,"residue":520},{"from_index":942,"to_index":1312,"sum":139640,"residue":210},{"from_index":1312,"to_index":1682,"sum":132650,"residue":520},{"from_index":1682,"to_index":2052,"sum":133070,"residue":210},{"from_index":2052,"to_index":202,"sum":129000,"residue":520}],"minimal_cycle":[210,520],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[202,572],"circle_positions":730,"cycle_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":[203,573,943,1313,1683,2053],"clock_positions":[203,573,943,1313,1683,2053],"native_values":[637,458,637,93,272,93],"rotation_degrees":32.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[637,458,637,93,272,93],"beta":{"interval_sums":[135742,136548,139392,132898,132822,129248],"interval_residues":[692,38,692,38,692,38],"display_cycle":[692,38,692,38,692,38],"intervals":[{"from_index":203,"to_index":573,"sum":135742,"residue":692},{"from_index":573,"to_index":943,"sum":136548,"residue":38},{"from_index":943,"to_index":1313,"sum":139392,"residue":692},{"from_index":1313,"to_index":1683,"sum":132898,"residue":38},{"from_index":1683,"to_index":2053,"sum":132822,"residue":692},{"from_index":2053,"to_index":203,"sum":129248,"residue":38}],"minimal_cycle":[692,38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":692,"start_interval_clock_positions":[203,573],"circle_positions":730,"cycle_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":[204,574,944,1314,1684,2054],"clock_positions":[204,574,944,1314,1684,2054],"native_values":[248,117,613,482,613,117],"rotation_degrees":33.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[248,117,613,482,613,117],"beta":{"interval_sums":[135952,137068,138872,132688,132302,129768],"interval_residues":[172,558,172,558,172,558],"display_cycle":[172,558,172,558,172,558],"intervals":[{"from_index":204,"to_index":574,"sum":135952,"residue":172},{"from_index":574,"to_index":944,"sum":137068,"residue":558},{"from_index":944,"to_index":1314,"sum":138872,"residue":172},{"from_index":1314,"to_index":1684,"sum":132688,"residue":558},{"from_index":1684,"to_index":2054,"sum":132302,"residue":172},{"from_index":2054,"to_index":204,"sum":129768,"residue":558}],"minimal_cycle":[172,558],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":172,"start_interval_clock_positions":[204,574],"circle_positions":730,"cycle_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":[205,575,945,1315,1685,2055],"clock_positions":[205,575,945,1315,1685,2055],"native_values":[155,575,520,575,155,210],"rotation_degrees":33.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,575,520,575,155,210],"beta":{"interval_sums":[135914,137106,138834,132726,132264,129806],"interval_residues":[134,596,134,596,134,596],"display_cycle":[134,596,134,596,134,596],"intervals":[{"from_index":205,"to_index":575,"sum":135914,"residue":134},{"from_index":575,"to_index":945,"sum":137106,"residue":596},{"from_index":945,"to_index":1315,"sum":138834,"residue":134},{"from_index":1315,"to_index":1685,"sum":132726,"residue":596},{"from_index":1685,"to_index":2055,"sum":132264,"residue":134},{"from_index":2055,"to_index":205,"sum":129806,"residue":596}],"minimal_cycle":[134,596],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[205,575],"circle_positions":730,"cycle_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":[206,576,946,1316,1686,2056],"clock_positions":[206,576,946,1316,1686,2056],"native_values":[403,692,403,327,38,327],"rotation_degrees":33.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[403,692,403,327,38,327],"beta":{"interval_sums":[136086,136934,139006,132554,132436,129634],"interval_residues":[306,424,306,424,306,424],"display_cycle":[306,424,306,424,306,424],"intervals":[{"from_index":206,"to_index":576,"sum":136086,"residue":306},{"from_index":576,"to_index":946,"sum":136934,"residue":424},{"from_index":946,"to_index":1316,"sum":139006,"residue":306},{"from_index":1316,"to_index":1686,"sum":132554,"residue":424},{"from_index":1686,"to_index":2056,"sum":132436,"residue":306},{"from_index":2056,"to_index":206,"sum":129634,"residue":424}],"minimal_cycle":[306,424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[206,576],"circle_positions":730,"cycle_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":[207,577,947,1317,1687,2057],"clock_positions":[207,577,947,1317,1687,2057],"native_values":[558,537,193,172,193,537],"rotation_degrees":33.567567567567565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[558,537,193,172,193,537],"beta":{"interval_sums":[136220,136800,139140,132420,132570,129500],"interval_residues":[440,290,440,290,440,290],"display_cycle":[440,290,440,290,440,290],"intervals":[{"from_index":207,"to_index":577,"sum":136220,"residue":440},{"from_index":577,"to_index":947,"sum":136800,"residue":290},{"from_index":947,"to_index":1317,"sum":139140,"residue":440},{"from_index":1317,"to_index":1687,"sum":132420,"residue":290},{"from_index":1687,"to_index":2057,"sum":132570,"residue":440},{"from_index":2057,"to_index":207,"sum":129500,"residue":290}],"minimal_cycle":[440,290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[207,577],"circle_positions":730,"cycle_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":[208,578,948,1318,1688,2058],"clock_positions":[208,578,948,1318,1688,2058],"native_values":[231,499,596,499,231,134],"rotation_degrees":33.729729729729726,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[231,499,596,499,231,134],"beta":{"interval_sums":[136526,136494,138716,132114,132876,129924],"interval_residues":[16,714,16,714,16,714],"display_cycle":[16,714,16,714,16,714],"intervals":[{"from_index":208,"to_index":578,"sum":136526,"residue":16},{"from_index":578,"to_index":948,"sum":136494,"residue":714},{"from_index":948,"to_index":1318,"sum":138716,"residue":16},{"from_index":1318,"to_index":1688,"sum":132114,"residue":714},{"from_index":1688,"to_index":2058,"sum":132876,"residue":16},{"from_index":2058,"to_index":208,"sum":129924,"residue":714}],"minimal_cycle":[16,714],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[208,578],"circle_positions":730,"cycle_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":[209,579,949,1319,1689,2059],"clock_positions":[209,579,949,1319,1689,2059],"native_values":[59,306,59,671,424,671],"rotation_degrees":33.891891891891895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[59,306,59,671,424,671],"beta":{"interval_sums":[136966,136784,139156,131674,132586,129484],"interval_residues":[456,274,456,274,456,274],"display_cycle":[456,274,456,274,456,274],"intervals":[{"from_index":209,"to_index":579,"sum":136966,"residue":456},{"from_index":579,"to_index":949,"sum":136784,"residue":274},{"from_index":949,"to_index":1319,"sum":139156,"residue":456},{"from_index":1319,"to_index":1689,"sum":131674,"residue":274},{"from_index":1689,"to_index":2059,"sum":132586,"residue":456},{"from_index":2059,"to_index":209,"sum":129484,"residue":274}],"minimal_cycle":[456,274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[209,579],"circle_positions":730,"cycle_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":[210,580,950,1320,1690,2060],"clock_positions":[210,580,950,1320,1690,2060],"native_values":[290,75,655,440,655,75],"rotation_degrees":34.054054054054056,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[290,75,655,440,655,75],"beta":{"interval_sums":[136982,136768,139172,131658,132602,129468],"interval_residues":[472,258,472,258,472,258],"display_cycle":[472,258,472,258,472,258],"intervals":[{"from_index":210,"to_index":580,"sum":136982,"residue":472},{"from_index":580,"to_index":950,"sum":136768,"residue":258},{"from_index":950,"to_index":1320,"sum":139172,"residue":472},{"from_index":1320,"to_index":1690,"sum":131658,"residue":258},{"from_index":1690,"to_index":2060,"sum":132602,"residue":472},{"from_index":2060,"to_index":210,"sum":129468,"residue":258}],"minimal_cycle":[472,258],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":472,"start_interval_clock_positions":[210,580],"circle_positions":730,"cycle_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":[211,581,951,1321,1691,2061],"clock_positions":[211,581,951,1321,1691,2061],"native_values":[349,381,714,381,349,16],"rotation_degrees":34.21621621621622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,381,714,381,349,16],"beta":{"interval_sums":[136708,137042,138898,131932,132328,129742],"interval_residues":[198,532,198,532,198,532],"display_cycle":[198,532,198,532,198,532],"intervals":[{"from_index":211,"to_index":581,"sum":136708,"residue":198},{"from_index":581,"to_index":951,"sum":137042,"residue":532},{"from_index":951,"to_index":1321,"sum":138898,"residue":198},{"from_index":1321,"to_index":1691,"sum":131932,"residue":532},{"from_index":1691,"to_index":2061,"sum":132328,"residue":198},{"from_index":2061,"to_index":211,"sum":129742,"residue":532}],"minimal_cycle":[198,532],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[211,581],"circle_positions":730,"cycle_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":[212,582,952,1322,1692,2062],"clock_positions":[212,582,952,1322,1692,2062],"native_values":[639,456,639,91,274,91],"rotation_degrees":34.37837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[639,456,639,91,274,91],"beta":{"interval_sums":[136450,137300,138640,132190,132070,130000],"interval_residues":[670,60,670,60,670,60],"display_cycle":[670,60,670,60,670,60],"intervals":[{"from_index":212,"to_index":582,"sum":136450,"residue":670},{"from_index":582,"to_index":952,"sum":137300,"residue":60},{"from_index":952,"to_index":1322,"sum":138640,"residue":670},{"from_index":1322,"to_index":1692,"sum":132190,"residue":60},{"from_index":1692,"to_index":2062,"sum":132070,"residue":670},{"from_index":2062,"to_index":212,"sum":130000,"residue":60}],"minimal_cycle":[670,60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":670,"start_interval_clock_positions":[212,582],"circle_positions":730,"cycle_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":[213,583,953,1323,1693,2063],"clock_positions":[213,583,953,1323,1693,2063],"native_values":[258,107,623,472,623,107],"rotation_degrees":34.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[258,107,623,472,623,107],"beta":{"interval_sums":[136648,137832,138108,131992,131538,130532],"interval_residues":[138,592,138,592,138,592],"display_cycle":[138,592,138,592,138,592],"intervals":[{"from_index":213,"to_index":583,"sum":136648,"residue":138},{"from_index":583,"to_index":953,"sum":137832,"residue":592},{"from_index":953,"to_index":1323,"sum":138108,"residue":138},{"from_index":1323,"to_index":1693,"sum":131992,"residue":592},{"from_index":1693,"to_index":2063,"sum":131538,"residue":138},{"from_index":2063,"to_index":213,"sum":130532,"residue":592}],"minimal_cycle":[138,592],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[213,583],"circle_positions":730,"cycle_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":[214,584,954,1324,1694,2064],"clock_positions":[214,584,954,1324,1694,2064],"native_values":[167,563,532,563,167,198],"rotation_degrees":34.7027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,563,532,563,167,198],"beta":{"interval_sums":[136588,137892,138048,132052,131478,130592],"interval_residues":[78,652,78,652,78,652],"display_cycle":[78,652,78,652,78,652],"intervals":[{"from_index":214,"to_index":584,"sum":136588,"residue":78},{"from_index":584,"to_index":954,"sum":137892,"residue":652},{"from_index":954,"to_index":1324,"sum":138048,"residue":78},{"from_index":1324,"to_index":1694,"sum":132052,"residue":652},{"from_index":1694,"to_index":2064,"sum":131478,"residue":78},{"from_index":2064,"to_index":214,"sum":130592,"residue":652}],"minimal_cycle":[78,652],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":78,"start_interval_clock_positions":[214,584],"circle_positions":730,"cycle_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":[215,585,955,1325,1695,2065],"clock_positions":[215,585,955,1325,1695,2065],"native_values":[425,670,425,305,60,305],"rotation_degrees":34.86486486486486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[425,670,425,305,60,305],"beta":{"interval_sums":[136726,137754,138186,131914,131616,130454],"interval_residues":[216,514,216,514,216,514],"display_cycle":[216,514,216,514,216,514],"intervals":[{"from_index":215,"to_index":585,"sum":136726,"residue":216},{"from_index":585,"to_index":955,"sum":137754,"residue":514},{"from_index":955,"to_index":1325,"sum":138186,"residue":216},{"from_index":1325,"to_index":1695,"sum":131914,"residue":514},{"from_index":1695,"to_index":2065,"sum":131616,"residue":216},{"from_index":2065,"to_index":215,"sum":130454,"residue":514}],"minimal_cycle":[216,514],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[215,585],"circle_positions":730,"cycle_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":[216,586,956,1326,1696,2066],"clock_positions":[216,586,956,1326,1696,2066],"native_values":[592,503,227,138,227,503],"rotation_degrees":35.027027027027025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[592,503,227,138,227,503],"beta":{"interval_sums":[136804,137676,138264,131836,131694,130376],"interval_residues":[294,436,294,436,294,436],"display_cycle":[294,436,294,436,294,436],"intervals":[{"from_index":216,"to_index":586,"sum":136804,"residue":294},{"from_index":586,"to_index":956,"sum":137676,"residue":436},{"from_index":956,"to_index":1326,"sum":138264,"residue":294},{"from_index":1326,"to_index":1696,"sum":131836,"residue":436},{"from_index":1696,"to_index":2066,"sum":131694,"residue":294},{"from_index":2066,"to_index":216,"sum":130376,"residue":436}],"minimal_cycle":[294,436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[216,586],"circle_positions":730,"cycle_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":[217,587,957,1327,1697,2067],"clock_positions":[217,587,957,1327,1697,2067],"native_values":[287,443,652,443,287,78],"rotation_degrees":35.189189189189186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,443,652,443,287,78],"beta":{"interval_sums":[137020,137460,137750,131620,131910,130890],"interval_residues":[510,220,510,220,510,220],"display_cycle":[510,220,510,220,510,220],"intervals":[{"from_index":217,"to_index":587,"sum":137020,"residue":510},{"from_index":587,"to_index":957,"sum":137460,"residue":220},{"from_index":957,"to_index":1327,"sum":137750,"residue":510},{"from_index":1327,"to_index":1697,"sum":131620,"residue":220},{"from_index":1697,"to_index":2067,"sum":131910,"residue":510},{"from_index":2067,"to_index":217,"sum":130890,"residue":220}],"minimal_cycle":[510,220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[217,587],"circle_positions":730,"cycle_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":[218,588,958,1328,1698,2068],"clock_positions":[218,588,958,1328,1698,2068],"native_values":[149,216,149,581,514,581],"rotation_degrees":35.351351351351354,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,216,149,581,514,581],"beta":{"interval_sums":[137314,137896,138044,131326,131474,130596],"interval_residues":[74,656,74,656,74,656],"display_cycle":[74,656,74,656,74,656],"intervals":[{"from_index":218,"to_index":588,"sum":137314,"residue":74},{"from_index":588,"to_index":958,"sum":137896,"residue":656},{"from_index":958,"to_index":1328,"sum":138044,"residue":74},{"from_index":1328,"to_index":1698,"sum":131326,"residue":656},{"from_index":1698,"to_index":2068,"sum":131474,"residue":74},{"from_index":2068,"to_index":218,"sum":130596,"residue":656}],"minimal_cycle":[74,656],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[218,588],"circle_positions":730,"cycle_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":[219,589,959,1329,1699,2069],"clock_positions":[219,589,959,1329,1699,2069],"native_values":[436,659,71,294,71,659],"rotation_degrees":35.513513513513516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[436,659,71,294,71,659],"beta":{"interval_sums":[137094,137386,138554,131546,131984,130086],"interval_residues":[584,146,584,146,584,146],"display_cycle":[584,146,584,146,584,146],"intervals":[{"from_index":219,"to_index":589,"sum":137094,"residue":584},{"from_index":589,"to_index":959,"sum":137386,"residue":146},{"from_index":959,"to_index":1329,"sum":138554,"residue":584},{"from_index":1329,"to_index":1699,"sum":131546,"residue":146},{"from_index":1699,"to_index":2069,"sum":131984,"residue":584},{"from_index":2069,"to_index":219,"sum":130086,"residue":146}],"minimal_cycle":[584,146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[219,589],"circle_positions":730,"cycle_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":[220,590,960,1330,1700,2070],"clock_positions":[220,590,960,1330,1700,2070],"native_values":[585,145,220,145,585,510],"rotation_degrees":35.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[585,145,220,145,585,510],"beta":{"interval_sums":[137168,137312,138628,131472,132058,130012],"interval_residues":[658,72,658,72,658,72],"display_cycle":[658,72,658,72,658,72],"intervals":[{"from_index":220,"to_index":590,"sum":137168,"residue":658},{"from_index":590,"to_index":960,"sum":137312,"residue":72},{"from_index":960,"to_index":1330,"sum":138628,"residue":658},{"from_index":1330,"to_index":1700,"sum":131472,"residue":72},{"from_index":1700,"to_index":2070,"sum":132058,"residue":658},{"from_index":2070,"to_index":220,"sum":130012,"residue":72}],"minimal_cycle":[658,72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":658,"start_interval_clock_positions":[220,590],"circle_positions":730,"cycle_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":[221,591,961,1331,1701,2071],"clock_positions":[221,591,961,1331,1701,2071],"native_values":[291,74,291,439,656,439],"rotation_degrees":35.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,74,291,439,656,439],"beta":{"interval_sums":[137022,137458,138482,131618,131912,130158],"interval_residues":[512,218,512,218,512,218],"display_cycle":[512,218,512,218,512,218],"intervals":[{"from_index":221,"to_index":591,"sum":137022,"residue":512},{"from_index":591,"to_index":961,"sum":137458,"residue":218},{"from_index":961,"to_index":1331,"sum":138482,"residue":512},{"from_index":1331,"to_index":1701,"sum":131618,"residue":218},{"from_index":1701,"to_index":2071,"sum":131912,"residue":512},{"from_index":2071,"to_index":221,"sum":130158,"residue":218}],"minimal_cycle":[512,218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":512,"start_interval_clock_positions":[221,591],"circle_positions":730,"cycle_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":[222,592,962,1332,1702,2072],"clock_positions":[222,592,962,1332,1702,2072],"native_values":[146,219,511,584,511,219],"rotation_degrees":36.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[146,219,511,584,511,219],"beta":{"interval_sums":[136950,137530,138410,131690,131840,130230],"interval_residues":[440,290,440,290,440,290],"display_cycle":[440,290,440,290,440,290],"intervals":[{"from_index":222,"to_index":592,"sum":136950,"residue":440},{"from_index":592,"to_index":962,"sum":137530,"residue":290},{"from_index":962,"to_index":1332,"sum":138410,"residue":440},{"from_index":1332,"to_index":1702,"sum":131690,"residue":290},{"from_index":1702,"to_index":2072,"sum":131840,"residue":440},{"from_index":2072,"to_index":222,"sum":130230,"residue":290}],"minimal_cycle":[440,290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[222,592],"circle_positions":730,"cycle_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":[223,593,963,1333,1703,2073],"clock_positions":[223,593,963,1333,1703,2073],"native_values":[437,293,72,293,437,658],"rotation_degrees":36.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[437,293,72,293,437,658],"beta":{"interval_sums":[136732,137748,138922,131908,131622,129718],"interval_residues":[222,508,222,508,222,508],"display_cycle":[222,508,222,508,222,508],"intervals":[{"from_index":223,"to_index":593,"sum":136732,"residue":222},{"from_index":593,"to_index":963,"sum":137748,"residue":508},{"from_index":963,"to_index":1333,"sum":138922,"residue":222},{"from_index":1333,"to_index":1703,"sum":131908,"residue":508},{"from_index":1703,"to_index":2073,"sum":131622,"residue":222},{"from_index":2073,"to_index":223,"sum":129718,"residue":508}],"minimal_cycle":[222,508],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":222,"start_interval_clock_positions":[223,593],"circle_positions":730,"cycle_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":[224,594,964,1334,1704,2074],"clock_positions":[224,594,964,1334,1704,2074],"native_values":[583,512,583,147,218,147],"rotation_degrees":36.32432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[583,512,583,147,218,147],"beta":{"interval_sums":[136442,137308,138632,132198,132062,130008],"interval_residues":[662,68,662,68,662,68],"display_cycle":[662,68,662,68,662,68],"intervals":[{"from_index":224,"to_index":594,"sum":136442,"residue":662},{"from_index":594,"to_index":964,"sum":137308,"residue":68},{"from_index":964,"to_index":1334,"sum":138632,"residue":662},{"from_index":1334,"to_index":1704,"sum":132198,"residue":68},{"from_index":1704,"to_index":2074,"sum":132062,"residue":662},{"from_index":2074,"to_index":224,"sum":130008,"residue":68}],"minimal_cycle":[662,68],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":662,"start_interval_clock_positions":[224,594],"circle_positions":730,"cycle_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":[225,595,965,1335,1705,2075],"clock_positions":[225,595,965,1335,1705,2075],"native_values":[290,75,655,440,655,75],"rotation_degrees":36.486486486486484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[290,75,655,440,655,75],"beta":{"interval_sums":[136664,137816,138124,131976,131554,130516],"interval_residues":[154,576,154,576,154,576],"display_cycle":[154,576,154,576,154,576],"intervals":[{"from_index":225,"to_index":595,"sum":136664,"residue":154},{"from_index":595,"to_index":965,"sum":137816,"residue":576},{"from_index":965,"to_index":1335,"sum":138124,"residue":154},{"from_index":1335,"to_index":1705,"sum":131976,"residue":576},{"from_index":1705,"to_index":2075,"sum":131554,"residue":154},{"from_index":2075,"to_index":225,"sum":130516,"residue":576}],"minimal_cycle":[154,576],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":154,"start_interval_clock_positions":[225,595],"circle_positions":730,"cycle_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":[226,596,966,1336,1706,2076],"clock_positions":[226,596,966,1336,1706,2076],"native_values":[143,587,508,587,143,222],"rotation_degrees":36.648648648648646,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[143,587,508,587,143,222],"beta":{"interval_sums":[136596,137884,138056,132044,131486,130584],"interval_residues":[86,644,86,644,86,644],"display_cycle":[86,644,86,644,86,644],"intervals":[{"from_index":226,"to_index":596,"sum":136596,"residue":86},{"from_index":596,"to_index":966,"sum":137884,"residue":644},{"from_index":966,"to_index":1336,"sum":138056,"residue":86},{"from_index":1336,"to_index":1706,"sum":132044,"residue":644},{"from_index":1706,"to_index":2076,"sum":131486,"residue":86},{"from_index":2076,"to_index":226,"sum":130584,"residue":644}],"minimal_cycle":[86,644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":86,"start_interval_clock_positions":[226,596],"circle_positions":730,"cycle_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":[227,597,967,1337,1707,2077],"clock_positions":[227,597,967,1337,1707,2077],"native_values":[433,662,433,297,68,297],"rotation_degrees":36.810810810810814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,662,433,297,68,297],"beta":{"interval_sums":[136750,137730,138210,131890,131640,130430],"interval_residues":[240,490,240,490,240,490],"display_cycle":[240,490,240,490,240,490],"intervals":[{"from_index":227,"to_index":597,"sum":136750,"residue":240},{"from_index":597,"to_index":967,"sum":137730,"residue":490},{"from_index":967,"to_index":1337,"sum":138210,"residue":240},{"from_index":1337,"to_index":1707,"sum":131890,"residue":490},{"from_index":1707,"to_index":2077,"sum":131640,"residue":240},{"from_index":2077,"to_index":227,"sum":130430,"residue":490}],"minimal_cycle":[240,490],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[227,597],"circle_positions":730,"cycle_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":[228,598,968,1338,1708,2078],"clock_positions":[228,598,968,1338,1708,2078],"native_values":[576,519,211,154,211,519],"rotation_degrees":36.972972972972975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[576,519,211,154,211,519],"beta":{"interval_sums":[136836,137644,138296,131804,131726,130344],"interval_residues":[326,404,326,404,326,404],"display_cycle":[326,404,326,404,326,404],"intervals":[{"from_index":228,"to_index":598,"sum":136836,"residue":326},{"from_index":598,"to_index":968,"sum":137644,"residue":404},{"from_index":968,"to_index":1338,"sum":138296,"residue":326},{"from_index":1338,"to_index":1708,"sum":131804,"residue":404},{"from_index":1708,"to_index":2078,"sum":131726,"residue":326},{"from_index":2078,"to_index":228,"sum":130344,"residue":404}],"minimal_cycle":[326,404],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[228,598],"circle_positions":730,"cycle_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":[229,599,969,1339,1709,2079],"clock_positions":[229,599,969,1339,1709,2079],"native_values":[279,451,644,451,279,86],"rotation_degrees":37.13513513513514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,451,644,451,279,86],"beta":{"interval_sums":[137076,137404,137806,131564,131966,130834],"interval_residues":[566,164,566,164,566,164],"display_cycle":[566,164,566,164,566,164],"intervals":[{"from_index":229,"to_index":599,"sum":137076,"residue":566},{"from_index":599,"to_index":969,"sum":137404,"residue":164},{"from_index":969,"to_index":1339,"sum":137806,"residue":566},{"from_index":1339,"to_index":1709,"sum":131564,"residue":164},{"from_index":1709,"to_index":2079,"sum":131966,"residue":566},{"from_index":2079,"to_index":229,"sum":130834,"residue":164}],"minimal_cycle":[566,164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":566,"start_interval_clock_positions":[229,599],"circle_positions":730,"cycle_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":[230,600,970,1340,1710,2080],"clock_positions":[230,600,970,1340,1710,2080],"native_values":[125,240,125,605,490,605],"rotation_degrees":37.2972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,240,125,605,490,605],"beta":{"interval_sums":[137402,137808,138132,131238,131562,130508],"interval_residues":[162,568,162,568,162,568],"display_cycle":[162,568,162,568,162,568],"intervals":[{"from_index":230,"to_index":600,"sum":137402,"residue":162},{"from_index":600,"to_index":970,"sum":137808,"residue":568},{"from_index":970,"to_index":1340,"sum":138132,"residue":162},{"from_index":1340,"to_index":1710,"sum":131238,"residue":568},{"from_index":1710,"to_index":2080,"sum":131562,"residue":162},{"from_index":2080,"to_index":230,"sum":130508,"residue":568}],"minimal_cycle":[162,568],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":162,"start_interval_clock_positions":[230,600],"circle_positions":730,"cycle_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":[231,601,971,1341,1711,2081],"clock_positions":[231,601,971,1341,1711,2081],"native_values":[404,691,39,326,39,691],"rotation_degrees":37.45945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[404,691,39,326,39,691],"beta":{"interval_sums":[137238,137242,138698,131402,132128,129942],"interval_residues":[728,2,728,2,728,2],"display_cycle":[728,2,728,2,728,2],"intervals":[{"from_index":231,"to_index":601,"sum":137238,"residue":728},{"from_index":601,"to_index":971,"sum":137242,"residue":2},{"from_index":971,"to_index":1341,"sum":138698,"residue":728},{"from_index":1341,"to_index":1711,"sum":131402,"residue":2},{"from_index":1711,"to_index":2081,"sum":132128,"residue":728},{"from_index":2081,"to_index":231,"sum":129942,"residue":2}],"minimal_cycle":[728,2],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":728,"start_interval_clock_positions":[231,601],"circle_positions":730,"cycle_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":[232,602,972,1342,1712,2082],"clock_positions":[232,602,972,1342,1712,2082],"native_values":[529,201,164,201,529,566],"rotation_degrees":37.62162162162162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[529,201,164,201,529,566],"beta":{"interval_sums":[137400,137080,138860,131240,132290,129780],"interval_residues":[160,570,160,570,160,570],"display_cycle":[160,570,160,570,160,570],"intervals":[{"from_index":232,"to_index":602,"sum":137400,"residue":160},{"from_index":602,"to_index":972,"sum":137080,"residue":570},{"from_index":972,"to_index":1342,"sum":138860,"residue":160},{"from_index":1342,"to_index":1712,"sum":131240,"residue":570},{"from_index":1712,"to_index":2082,"sum":132290,"residue":160},{"from_index":2082,"to_index":232,"sum":129780,"residue":570}],"minimal_cycle":[160,570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":160,"start_interval_clock_positions":[232,602],"circle_positions":730,"cycle_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":[233,603,973,1343,1713,2083],"clock_positions":[233,603,973,1343,1713,2083],"native_values":[203,162,203,527,568,527],"rotation_degrees":37.78378378378378,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,162,203,527,568,527],"beta":{"interval_sums":[137398,137082,138858,131242,132288,129782],"interval_residues":[158,572,158,572,158,572],"display_cycle":[158,572,158,572,158,572],"intervals":[{"from_index":233,"to_index":603,"sum":137398,"residue":158},{"from_index":603,"to_index":973,"sum":137082,"residue":572},{"from_index":973,"to_index":1343,"sum":138858,"residue":158},{"from_index":1343,"to_index":1713,"sum":131242,"residue":572},{"from_index":1713,"to_index":2083,"sum":132288,"residue":158},{"from_index":2083,"to_index":233,"sum":129782,"residue":572}],"minimal_cycle":[158,572],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":158,"start_interval_clock_positions":[233,603],"circle_positions":730,"cycle_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":[234,604,974,1344,1714,2084],"clock_positions":[234,604,974,1344,1714,2084],"native_values":[2,363,367,728,367,363],"rotation_degrees":37.945945945945944,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,363,367,728,367,363],"beta":{"interval_sums":[137558,136922,139018,131082,132448,129622],"interval_residues":[318,412,318,412,318,412],"display_cycle":[318,412,318,412,318,412],"intervals":[{"from_index":234,"to_index":604,"sum":137558,"residue":318},{"from_index":604,"to_index":974,"sum":136922,"residue":412},{"from_index":974,"to_index":1344,"sum":139018,"residue":318},{"from_index":1344,"to_index":1714,"sum":131082,"residue":412},{"from_index":1714,"to_index":2084,"sum":132448,"residue":318},{"from_index":2084,"to_index":234,"sum":129622,"residue":412}],"minimal_cycle":[318,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":318,"start_interval_clock_positions":[234,604],"circle_positions":730,"cycle_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":[235,605,975,1345,1715,2085],"clock_positions":[235,605,975,1345,1715,2085],"native_values":[205,525,570,525,205,160],"rotation_degrees":38.108108108108105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,525,570,525,205,160],"beta":{"interval_sums":[137716,136764,139176,130924,132606,129464],"interval_residues":[476,254,476,254,476,254],"display_cycle":[476,254,476,254,476,254],"intervals":[{"from_index":235,"to_index":605,"sum":137716,"residue":476},{"from_index":605,"to_index":975,"sum":136764,"residue":254},{"from_index":975,"to_index":1345,"sum":139176,"residue":476},{"from_index":1345,"to_index":1715,"sum":130924,"residue":254},{"from_index":1715,"to_index":2085,"sum":132606,"residue":476},{"from_index":2085,"to_index":235,"sum":129464,"residue":254}],"minimal_cycle":[476,254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":476,"start_interval_clock_positions":[235,605],"circle_positions":730,"cycle_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":[236,606,976,1346,1716,2086],"clock_positions":[236,606,976,1346,1716,2086],"native_values":[207,158,207,523,572,523],"rotation_degrees":38.270270270270274,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[207,158,207,523,572,523],"beta":{"interval_sums":[138034,137176,139494,130606,132194,129146],"interval_residues":[64,666,64,666,64,666],"display_cycle":[64,666,64,666,64,666],"intervals":[{"from_index":236,"to_index":606,"sum":138034,"residue":64},{"from_index":606,"to_index":976,"sum":137176,"residue":666},{"from_index":976,"to_index":1346,"sum":139494,"residue":64},{"from_index":1346,"to_index":1716,"sum":130606,"residue":666},{"from_index":1716,"to_index":2086,"sum":132194,"residue":64},{"from_index":2086,"to_index":236,"sum":129146,"residue":666}],"minimal_cycle":[64,666],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":64,"start_interval_clock_positions":[236,606],"circle_positions":730,"cycle_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":[237,607,977,1347,1717,2087],"clock_positions":[237,607,977,1347,1717,2087],"native_values":[412,683,47,318,47,683],"rotation_degrees":38.432432432432435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[412,683,47,318,47,683],"beta":{"interval_sums":[137780,136700,139970,130860,132670,128670],"interval_residues":[540,190,540,190,540,190],"display_cycle":[540,190,540,190,540,190],"intervals":[{"from_index":237,"to_index":607,"sum":137780,"residue":540},{"from_index":607,"to_index":977,"sum":136700,"residue":190},{"from_index":977,"to_index":1347,"sum":139970,"residue":540},{"from_index":1347,"to_index":1717,"sum":130860,"residue":190},{"from_index":1717,"to_index":2087,"sum":132670,"residue":540},{"from_index":2087,"to_index":237,"sum":128670,"residue":190}],"minimal_cycle":[540,190],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":540,"start_interval_clock_positions":[237,607],"circle_positions":730,"cycle_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":[238,608,978,1348,1718,2088],"clock_positions":[238,608,978,1348,1718,2088],"native_values":[619,111,254,111,619,476],"rotation_degrees":38.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[619,111,254,111,619,476],"beta":{"interval_sums":[137844,136636,140034,130796,132734,128606],"interval_residues":[604,126,604,126,604,126],"display_cycle":[604,126,604,126,604,126],"intervals":[{"from_index":238,"to_index":608,"sum":137844,"residue":604},{"from_index":608,"to_index":978,"sum":136636,"residue":126},{"from_index":978,"to_index":1348,"sum":140034,"residue":604},{"from_index":1348,"to_index":1718,"sum":130796,"residue":126},{"from_index":1718,"to_index":2088,"sum":132734,"residue":604},{"from_index":2088,"to_index":238,"sum":128606,"residue":126}],"minimal_cycle":[604,126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":604,"start_interval_clock_positions":[238,608],"circle_positions":730,"cycle_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":[239,609,979,1349,1719,2089],"clock_positions":[239,609,979,1349,1719,2089],"native_values":[301,64,301,429,666,429],"rotation_degrees":38.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,64,301,429,666,429],"beta":{"interval_sums":[137654,136826,139844,130986,132544,128796],"interval_residues":[414,316,414,316,414,316],"display_cycle":[414,316,414,316,414,316],"intervals":[{"from_index":239,"to_index":609,"sum":137654,"residue":414},{"from_index":609,"to_index":979,"sum":136826,"residue":316},{"from_index":979,"to_index":1349,"sum":139844,"residue":414},{"from_index":1349,"to_index":1719,"sum":130986,"residue":316},{"from_index":1719,"to_index":2089,"sum":132544,"residue":414},{"from_index":2089,"to_index":239,"sum":128796,"residue":316}],"minimal_cycle":[414,316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[239,609],"circle_positions":730,"cycle_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":[240,610,980,1350,1720,2090],"clock_positions":[240,610,980,1350,1720,2090],"native_values":[190,175,555,540,555,175],"rotation_degrees":38.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[190,175,555,540,555,175],"beta":{"interval_sums":[137528,136952,139718,131112,132418,128922],"interval_residues":[288,442,288,442,288,442],"display_cycle":[288,442,288,442,288,442],"intervals":[{"from_index":240,"to_index":610,"sum":137528,"residue":288},{"from_index":610,"to_index":980,"sum":136952,"residue":442},{"from_index":980,"to_index":1350,"sum":139718,"residue":288},{"from_index":1350,"to_index":1720,"sum":131112,"residue":442},{"from_index":1720,"to_index":2090,"sum":132418,"residue":288},{"from_index":2090,"to_index":240,"sum":128922,"residue":442}],"minimal_cycle":[288,442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[240,610],"circle_positions":730,"cycle_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":[241,611,981,1351,1721,2091],"clock_positions":[241,611,981,1351,1721,2091],"native_values":[491,239,126,239,491,604],"rotation_degrees":39.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[491,239,126,239,491,604],"beta":{"interval_sums":[137212,137268,140132,131428,132102,128508],"interval_residues":[702,28,702,28,702,28],"display_cycle":[702,28,702,28,702,28],"intervals":[{"from_index":241,"to_index":611,"sum":137212,"residue":702},{"from_index":611,"to_index":981,"sum":137268,"residue":28},{"from_index":981,"to_index":1351,"sum":140132,"residue":702},{"from_index":1351,"to_index":1721,"sum":131428,"residue":28},{"from_index":1721,"to_index":2091,"sum":132102,"residue":702},{"from_index":2091,"to_index":241,"sum":128508,"residue":28}],"minimal_cycle":[702,28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":702,"start_interval_clock_positions":[241,611],"circle_positions":730,"cycle_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":[242,612,982,1352,1722,2092],"clock_positions":[242,612,982,1352,1722,2092],"native_values":[681,414,681,49,316,49],"rotation_degrees":39.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[681,414,681,49,316,49],"beta":{"interval_sums":[136770,136980,139690,131870,132390,128950],"interval_residues":[260,470,260,470,260,470],"display_cycle":[260,470,260,470,260,470],"intervals":[{"from_index":242,"to_index":612,"sum":136770,"residue":260},{"from_index":612,"to_index":982,"sum":136980,"residue":470},{"from_index":982,"to_index":1352,"sum":139690,"residue":260},{"from_index":1352,"to_index":1722,"sum":131870,"residue":470},{"from_index":1722,"to_index":2092,"sum":132390,"residue":260},{"from_index":2092,"to_index":242,"sum":128950,"residue":470}],"minimal_cycle":[260,470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":260,"start_interval_clock_positions":[242,612],"circle_positions":730,"cycle_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":[243,613,983,1353,1723,2093],"clock_positions":[243,613,983,1353,1723,2093],"native_values":[442,653,77,288,77,653],"rotation_degrees":39.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[442,653,77,288,77,653],"beta":{"interval_sums":[136742,137008,139662,131898,132362,128978],"interval_residues":[232,498,232,498,232,498],"display_cycle":[232,498,232,498,232,498],"intervals":[{"from_index":243,"to_index":613,"sum":136742,"residue":232},{"from_index":613,"to_index":983,"sum":137008,"residue":498},{"from_index":983,"to_index":1353,"sum":139662,"residue":232},{"from_index":1353,"to_index":1723,"sum":131898,"residue":498},{"from_index":1723,"to_index":2093,"sum":132362,"residue":232},{"from_index":2093,"to_index":243,"sum":128978,"residue":498}],"minimal_cycle":[232,498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[243,613],"circle_positions":730,"cycle_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":[244,614,984,1354,1724,2094],"clock_positions":[244,614,984,1354,1724,2094],"native_values":[393,337,28,337,393,702],"rotation_degrees":39.567567567567565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[393,337,28,337,393,702],"beta":{"interval_sums":[137002,136748,139922,131638,132622,128718],"interval_residues":[492,238,492,238,492,238],"display_cycle":[492,238,492,238,492,238],"intervals":[{"from_index":244,"to_index":614,"sum":137002,"residue":492},{"from_index":614,"to_index":984,"sum":136748,"residue":238},{"from_index":984,"to_index":1354,"sum":139922,"residue":492},{"from_index":1354,"to_index":1724,"sum":131638,"residue":238},{"from_index":1724,"to_index":2094,"sum":132622,"residue":492},{"from_index":2094,"to_index":244,"sum":128718,"residue":238}],"minimal_cycle":[492,238],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":492,"start_interval_clock_positions":[244,614],"circle_positions":730,"cycle_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":[245,615,985,1355,1725,2095],"clock_positions":[245,615,985,1355,1725,2095],"native_values":[105,260,105,625,470,625],"rotation_degrees":39.729729729729726,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[105,260,105,625,470,625],"beta":{"interval_sums":[137234,136516,140154,131406,132854,128486],"interval_residues":[724,6,724,6,724,6],"display_cycle":[724,6,724,6,724,6],"intervals":[{"from_index":245,"to_index":615,"sum":137234,"residue":724},{"from_index":615,"to_index":985,"sum":136516,"residue":6},{"from_index":985,"to_index":1355,"sum":140154,"residue":724},{"from_index":1355,"to_index":1725,"sum":131406,"residue":6},{"from_index":1725,"to_index":2095,"sum":132854,"residue":724},{"from_index":2095,"to_index":245,"sum":128486,"residue":6}],"minimal_cycle":[724,6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":724,"start_interval_clock_positions":[245,615],"circle_positions":730,"cycle_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":[246,616,986,1356,1726,2096],"clock_positions":[246,616,986,1356,1726,2096],"native_values":[498,597,133,232,133,597],"rotation_degrees":39.891891891891895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[498,597,133,232,133,597],"beta":{"interval_sums":[136996,136024,140646,131644,133346,127994],"interval_residues":[486,244,486,244,486,244],"display_cycle":[486,244,486,244,486,244],"intervals":[{"from_index":246,"to_index":616,"sum":136996,"residue":486},{"from_index":616,"to_index":986,"sum":136024,"residue":244},{"from_index":986,"to_index":1356,"sum":140646,"residue":486},{"from_index":1356,"to_index":1726,"sum":131644,"residue":244},{"from_index":1726,"to_index":2096,"sum":133346,"residue":486},{"from_index":2096,"to_index":246,"sum":127994,"residue":244}],"minimal_cycle":[486,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":486,"start_interval_clock_positions":[246,616],"circle_positions":730,"cycle_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":[247,617,987,1357,1727,2097],"clock_positions":[247,617,987,1357,1727,2097],"native_values":[603,127,238,127,603,492],"rotation_degrees":40.054054054054056,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[603,127,238,127,603,492],"beta":{"interval_sums":[136990,136030,140640,131650,133340,128000],"interval_residues":[480,250,480,250,480,250],"display_cycle":[480,250,480,250,480,250],"intervals":[{"from_index":247,"to_index":617,"sum":136990,"residue":480},{"from_index":617,"to_index":987,"sum":136030,"residue":250},{"from_index":987,"to_index":1357,"sum":140640,"residue":480},{"from_index":1357,"to_index":1727,"sum":131650,"residue":250},{"from_index":1727,"to_index":2097,"sum":133340,"residue":480},{"from_index":2097,"to_index":247,"sum":128000,"residue":250}],"minimal_cycle":[480,250],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[247,617],"circle_positions":730,"cycle_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":[248,618,988,1358,1728,2098],"clock_positions":[248,618,988,1358,1728,2098],"native_values":[371,724,371,359,6,359],"rotation_degrees":40.21621621621622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[371,724,371,359,6,359],"beta":{"interval_sums":[136746,135544,140396,131894,133826,128244],"interval_residues":[236,494,236,494,236,494],"display_cycle":[236,494,236,494,236,494],"intervals":[{"from_index":248,"to_index":618,"sum":136746,"residue":236},{"from_index":618,"to_index":988,"sum":135544,"residue":494},{"from_index":988,"to_index":1358,"sum":140396,"residue":236},{"from_index":1358,"to_index":1728,"sum":131894,"residue":494},{"from_index":1728,"to_index":2098,"sum":133826,"residue":236},{"from_index":2098,"to_index":248,"sum":128244,"residue":494}],"minimal_cycle":[236,494],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[248,618],"circle_positions":730,"cycle_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":[249,619,989,1359,1729,2099],"clock_positions":[249,619,989,1359,1729,2099],"native_values":[244,121,609,486,609,121],"rotation_degrees":40.37837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[244,121,609,486,609,121],"beta":{"interval_sums":[137226,135794,140146,131414,133576,128494],"interval_residues":[716,14,716,14,716,14],"display_cycle":[716,14,716,14,716,14],"intervals":[{"from_index":249,"to_index":619,"sum":137226,"residue":716},{"from_index":619,"to_index":989,"sum":135794,"residue":14},{"from_index":989,"to_index":1359,"sum":140146,"residue":716},{"from_index":1359,"to_index":1729,"sum":131414,"residue":14},{"from_index":1729,"to_index":2099,"sum":133576,"residue":716},{"from_index":2099,"to_index":249,"sum":128494,"residue":14}],"minimal_cycle":[716,14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":716,"start_interval_clock_positions":[249,619],"circle_positions":730,"cycle_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":[250,620,990,1360,1730,2100],"clock_positions":[250,620,990,1360,1730,2100],"native_values":[615,115,250,115,615,480],"rotation_degrees":40.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[615,115,250,115,615,480],"beta":{"interval_sums":[136732,136288,140382,131908,133082,128258],"interval_residues":[222,508,222,508,222,508],"display_cycle":[222,508,222,508,222,508],"intervals":[{"from_index":250,"to_index":620,"sum":136732,"residue":222},{"from_index":620,"to_index":990,"sum":136288,"residue":508},{"from_index":990,"to_index":1360,"sum":140382,"residue":222},{"from_index":1360,"to_index":1730,"sum":131908,"residue":508},{"from_index":1730,"to_index":2100,"sum":133082,"residue":222},{"from_index":2100,"to_index":250,"sum":128258,"residue":508}],"minimal_cycle":[222,508],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":222,"start_interval_clock_positions":[250,620],"circle_positions":730,"cycle_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":[251,621,991,1361,1731,2101],"clock_positions":[251,621,991,1361,1731,2101],"native_values":[129,236,129,601,494,601],"rotation_degrees":40.7027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[129,236,129,601,494,601],"beta":{"interval_sums":[136718,136302,140368,131922,133068,128272],"interval_residues":[208,522,208,522,208,522],"display_cycle":[208,522,208,522,208,522],"intervals":[{"from_index":251,"to_index":621,"sum":136718,"residue":208},{"from_index":621,"to_index":991,"sum":136302,"residue":522},{"from_index":991,"to_index":1361,"sum":140368,"residue":208},{"from_index":1361,"to_index":1731,"sum":131922,"residue":522},{"from_index":1731,"to_index":2101,"sum":133068,"residue":208},{"from_index":2101,"to_index":251,"sum":128272,"residue":522}],"minimal_cycle":[208,522],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[251,621],"circle_positions":730,"cycle_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":[252,622,992,1362,1732,2102],"clock_positions":[252,622,992,1362,1732,2102],"native_values":[14,351,379,716,379,351],"rotation_degrees":40.86486486486486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[14,351,379,716,379,351],"beta":{"interval_sums":[136940,136080,140590,131700,133290,128050],"interval_residues":[430,300,430,300,430,300],"display_cycle":[430,300,430,300,430,300],"intervals":[{"from_index":252,"to_index":622,"sum":136940,"residue":430},{"from_index":622,"to_index":992,"sum":136080,"residue":300},{"from_index":992,"to_index":1362,"sum":140590,"residue":430},{"from_index":1362,"to_index":1732,"sum":131700,"residue":300},{"from_index":1732,"to_index":2102,"sum":133290,"residue":430},{"from_index":2102,"to_index":252,"sum":128050,"residue":300}],"minimal_cycle":[430,300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[252,622],"circle_positions":730,"cycle_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":[253,623,993,1363,1733,2103],"clock_positions":[253,623,993,1363,1733,2103],"native_values":[143,587,508,587,143,222],"rotation_degrees":41.027027027027025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[143,587,508,587,143,222],"beta":{"interval_sums":[137148,135872,140798,131492,133498,127842],"interval_residues":[638,92,638,92,638,92],"display_cycle":[638,92,638,92,638,92],"intervals":[{"from_index":253,"to_index":623,"sum":137148,"residue":638},{"from_index":623,"to_index":993,"sum":135872,"residue":92},{"from_index":993,"to_index":1363,"sum":140798,"residue":638},{"from_index":1363,"to_index":1733,"sum":131492,"residue":92},{"from_index":1733,"to_index":2103,"sum":133498,"residue":638},{"from_index":2103,"to_index":253,"sum":127842,"residue":92}],"minimal_cycle":[638,92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[253,623],"circle_positions":730,"cycle_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":[254,624,994,1364,1734,2104],"clock_positions":[254,624,994,1364,1734,2104],"native_values":[157,208,157,573,522,573],"rotation_degrees":41.189189189189186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,208,157,573,522,573],"beta":{"interval_sums":[137578,136172,141228,131062,133198,127412],"interval_residues":[338,392,338,392,338,392],"display_cycle":[338,392,338,392,338,392],"intervals":[{"from_index":254,"to_index":624,"sum":137578,"residue":338},{"from_index":624,"to_index":994,"sum":136172,"residue":392},{"from_index":994,"to_index":1364,"sum":141228,"residue":338},{"from_index":1364,"to_index":1734,"sum":131062,"residue":392},{"from_index":1734,"to_index":2104,"sum":133198,"residue":338},{"from_index":2104,"to_index":254,"sum":127412,"residue":392}],"minimal_cycle":[338,392],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[254,624],"circle_positions":730,"cycle_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":[255,625,995,1365,1735,2105],"clock_positions":[255,625,995,1365,1735,2105],"native_values":[300,65,665,430,665,65],"rotation_degrees":41.351351351351354,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,65,665,430,665,65],"beta":{"interval_sums":[137486,136264,141136,131154,133106,127504],"interval_residues":[246,484,246,484,246,484],"display_cycle":[246,484,246,484,246,484],"intervals":[{"from_index":255,"to_index":625,"sum":137486,"residue":246},{"from_index":625,"to_index":995,"sum":136264,"residue":484},{"from_index":995,"to_index":1365,"sum":141136,"residue":246},{"from_index":1365,"to_index":1735,"sum":131154,"residue":484},{"from_index":1735,"to_index":2105,"sum":133106,"residue":246},{"from_index":2105,"to_index":255,"sum":127504,"residue":484}],"minimal_cycle":[246,484],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":246,"start_interval_clock_positions":[255,625],"circle_positions":730,"cycle_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":[256,626,996,1366,1736,2106],"clock_positions":[256,626,996,1366,1736,2106],"native_values":[457,273,92,273,457,638],"rotation_degrees":41.513513513513516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,273,92,273,457,638],"beta":{"interval_sums":[137094,136656,141474,131546,132714,127166],"interval_residues":[584,146,584,146,584,146],"display_cycle":[584,146,584,146,584,146],"intervals":[{"from_index":256,"to_index":626,"sum":137094,"residue":584},{"from_index":626,"to_index":996,"sum":136656,"residue":146},{"from_index":996,"to_index":1366,"sum":141474,"residue":584},{"from_index":1366,"to_index":1736,"sum":131546,"residue":146},{"from_index":1736,"to_index":2106,"sum":132714,"residue":584},{"from_index":2106,"to_index":256,"sum":127166,"residue":146}],"minimal_cycle":[584,146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[256,626],"circle_positions":730,"cycle_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":[257,627,997,1367,1737,2107],"clock_positions":[257,627,997,1367,1737,2107],"native_values":[27,338,27,703,392,703],"rotation_degrees":41.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,338,27,703,392,703],"beta":{"interval_sums":[137340,136410,141720,131300,132960,126920],"interval_residues":[100,630,100,630,100,630],"display_cycle":[100,630,100,630,100,630],"intervals":[{"from_index":257,"to_index":627,"sum":137340,"residue":100},{"from_index":627,"to_index":997,"sum":136410,"residue":630},{"from_index":997,"to_index":1367,"sum":141720,"residue":100},{"from_index":1367,"to_index":1737,"sum":131300,"residue":630},{"from_index":1737,"to_index":2107,"sum":132960,"residue":100},{"from_index":2107,"to_index":257,"sum":126920,"residue":630}],"minimal_cycle":[100,630],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":100,"start_interval_clock_positions":[257,627],"circle_positions":730,"cycle_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":[258,628,998,1368,1738,2108],"clock_positions":[258,628,998,1368,1738,2108],"native_values":[484,611,119,246,119,611],"rotation_degrees":41.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[484,611,119,246,119,611],"beta":{"interval_sums":[137194,135826,142304,131446,133544,126336],"interval_residues":[684,46,684,46,684,46],"display_cycle":[684,46,684,46,684,46],"intervals":[{"from_index":258,"to_index":628,"sum":137194,"residue":684},{"from_index":628,"to_index":998,"sum":135826,"residue":46},{"from_index":998,"to_index":1368,"sum":142304,"residue":684},{"from_index":1368,"to_index":1738,"sum":131446,"residue":46},{"from_index":1738,"to_index":2108,"sum":133544,"residue":684},{"from_index":2108,"to_index":258,"sum":126336,"residue":46}],"minimal_cycle":[684,46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":684,"start_interval_clock_positions":[258,628],"circle_positions":730,"cycle_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":[259,629,999,1369,1739,2109],"clock_positions":[259,629,999,1369,1739,2109],"native_values":[511,219,146,219,511,584],"rotation_degrees":42.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[511,219,146,219,511,584],"beta":{"interval_sums":[137294,135726,142404,131346,133644,126236],"interval_residues":[54,676,54,676,54,676],"display_cycle":[54,676,54,676,54,676],"intervals":[{"from_index":259,"to_index":629,"sum":137294,"residue":54},{"from_index":629,"to_index":999,"sum":135726,"residue":676},{"from_index":999,"to_index":1369,"sum":142404,"residue":54},{"from_index":1369,"to_index":1739,"sum":131346,"residue":676},{"from_index":1739,"to_index":2109,"sum":133644,"residue":54},{"from_index":2109,"to_index":259,"sum":126236,"residue":676}],"minimal_cycle":[54,676],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[259,629],"circle_positions":730,"cycle_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":[260,630,1000,1370,1740,2110],"clock_positions":[260,630,1000,1370,1740,2110],"native_values":[265,100,265,465,630,465],"rotation_degrees":42.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,100,265,465,630,465],"beta":{"interval_sums":[137248,135772,142358,131392,133598,126282],"interval_residues":[8,722,8,722,8,722],"display_cycle":[8,722,8,722,8,722],"intervals":[{"from_index":260,"to_index":630,"sum":137248,"residue":8},{"from_index":630,"to_index":1000,"sum":135772,"residue":722},{"from_index":1000,"to_index":1370,"sum":142358,"residue":8},{"from_index":1370,"to_index":1740,"sum":131392,"residue":722},{"from_index":1740,"to_index":2110,"sum":133598,"residue":8},{"from_index":2110,"to_index":260,"sum":126282,"residue":722}],"minimal_cycle":[8,722],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[260,630],"circle_positions":730,"cycle_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":[261,631,1001,1371,1741,2111],"clock_positions":[261,631,1001,1371,1741,2111],"native_values":[46,319,411,684,411,319],"rotation_degrees":42.32432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[46,319,411,684,411,319],"beta":{"interval_sums":[137302,135718,142412,131338,133652,126228],"interval_residues":[62,668,62,668,62,668],"display_cycle":[62,668,62,668,62,668],"intervals":[{"from_index":261,"to_index":631,"sum":137302,"residue":62},{"from_index":631,"to_index":1001,"sum":135718,"residue":668},{"from_index":1001,"to_index":1371,"sum":142412,"residue":62},{"from_index":1371,"to_index":1741,"sum":131338,"residue":668},{"from_index":1741,"to_index":2111,"sum":133652,"residue":62},{"from_index":2111,"to_index":261,"sum":126228,"residue":668}],"minimal_cycle":[62,668],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[261,631],"circle_positions":730,"cycle_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":[262,632,1002,1372,1742,2112],"clock_positions":[262,632,1002,1372,1742,2112],"native_values":[311,419,676,419,311,54],"rotation_degrees":42.486486486486484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,419,676,419,311,54],"beta":{"interval_sums":[137310,135710,142420,131330,133660,126220],"interval_residues":[70,660,70,660,70,660],"display_cycle":[70,660,70,660,70,660],"intervals":[{"from_index":262,"to_index":632,"sum":137310,"residue":70},{"from_index":632,"to_index":1002,"sum":135710,"residue":660},{"from_index":1002,"to_index":1372,"sum":142420,"residue":70},{"from_index":1372,"to_index":1742,"sum":131330,"residue":660},{"from_index":1742,"to_index":2112,"sum":133660,"residue":70},{"from_index":2112,"to_index":262,"sum":126220,"residue":660}],"minimal_cycle":[70,660],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[262,632],"circle_positions":730,"cycle_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":[263,633,1003,1373,1743,2113],"clock_positions":[263,633,1003,1373,1743,2113],"native_values":[357,8,357,373,722,373],"rotation_degrees":42.648648648648646,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,8,357,373,722,373],"beta":{"interval_sums":[137372,136378,142482,131268,132992,126158],"interval_residues":[132,598,132,598,132,598],"display_cycle":[132,598,132,598,132,598],"intervals":[{"from_index":263,"to_index":633,"sum":137372,"residue":132},{"from_index":633,"to_index":1003,"sum":136378,"residue":598},{"from_index":1003,"to_index":1373,"sum":142482,"residue":132},{"from_index":1373,"to_index":1743,"sum":131268,"residue":598},{"from_index":1743,"to_index":2113,"sum":132992,"residue":132},{"from_index":2113,"to_index":263,"sum":126158,"residue":598}],"minimal_cycle":[132,598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[263,633],"circle_positions":730,"cycle_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":[264,634,1004,1374,1744,2114],"clock_positions":[264,634,1004,1374,1744,2114],"native_values":[668,427,303,62,303,427],"rotation_degrees":42.810810810810814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[668,427,303,62,303,427],"beta":{"interval_sums":[136712,136308,142552,131928,133062,126088],"interval_residues":[202,528,202,528,202,528],"display_cycle":[202,528,202,528,202,528],"intervals":[{"from_index":264,"to_index":634,"sum":136712,"residue":202},{"from_index":634,"to_index":1004,"sum":136308,"residue":528},{"from_index":1004,"to_index":1374,"sum":142552,"residue":202},{"from_index":1374,"to_index":1744,"sum":131928,"residue":528},{"from_index":1744,"to_index":2114,"sum":133062,"residue":202},{"from_index":2114,"to_index":264,"sum":126088,"residue":528}],"minimal_cycle":[202,528],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[264,634],"circle_positions":730,"cycle_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":[265,635,1005,1375,1745,2115],"clock_positions":[265,635,1005,1375,1745,2115],"native_values":[295,435,660,435,295,70],"rotation_degrees":42.972972972972975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,435,660,435,295,70],"beta":{"interval_sums":[136844,136176,141954,131796,133194,126686],"interval_residues":[334,396,334,396,334,396],"display_cycle":[334,396,334,396,334,396],"intervals":[{"from_index":265,"to_index":635,"sum":136844,"residue":334},{"from_index":635,"to_index":1005,"sum":136176,"residue":396},{"from_index":1005,"to_index":1375,"sum":141954,"residue":334},{"from_index":1375,"to_index":1745,"sum":131796,"residue":396},{"from_index":1745,"to_index":2115,"sum":133194,"residue":334},{"from_index":2115,"to_index":265,"sum":126686,"residue":396}],"minimal_cycle":[334,396],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[265,635],"circle_positions":730,"cycle_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":[266,636,1006,1376,1746,2116],"clock_positions":[266,636,1006,1376,1746,2116],"native_values":[233,132,233,497,598,497],"rotation_degrees":43.13513513513514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,132,233,497,598,497],"beta":{"interval_sums":[137046,136704,142156,131594,132666,126484],"interval_residues":[536,194,536,194,536,194],"display_cycle":[536,194,536,194,536,194],"intervals":[{"from_index":266,"to_index":636,"sum":137046,"residue":536},{"from_index":636,"to_index":1006,"sum":136704,"residue":194},{"from_index":1006,"to_index":1376,"sum":142156,"residue":536},{"from_index":1376,"to_index":1746,"sum":131594,"residue":194},{"from_index":1746,"to_index":2116,"sum":132666,"residue":536},{"from_index":2116,"to_index":266,"sum":126484,"residue":194}],"minimal_cycle":[536,194],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":536,"start_interval_clock_positions":[266,636],"circle_positions":730,"cycle_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":[267,637,1007,1377,1747,2117],"clock_positions":[267,637,1007,1377,1747,2117],"native_values":[528,567,163,202,163,567],"rotation_degrees":43.2972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[528,567,163,202,163,567],"beta":{"interval_sums":[136650,136370,142490,131990,133000,126150],"interval_residues":[140,590,140,590,140,590],"display_cycle":[140,590,140,590,140,590],"intervals":[{"from_index":267,"to_index":637,"sum":136650,"residue":140},{"from_index":637,"to_index":1007,"sum":136370,"residue":590},{"from_index":1007,"to_index":1377,"sum":142490,"residue":140},{"from_index":1377,"to_index":1747,"sum":131990,"residue":590},{"from_index":1747,"to_index":2117,"sum":133000,"residue":140},{"from_index":2117,"to_index":267,"sum":126150,"residue":590}],"minimal_cycle":[140,590],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":140,"start_interval_clock_positions":[267,637],"circle_positions":730,"cycle_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":[268,638,1008,1378,1748,2118],"clock_positions":[268,638,1008,1378,1748,2118],"native_values":[31,699,396,699,31,334],"rotation_degrees":43.45945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,699,396,699,31,334],"beta":{"interval_sums":[137186,135834,142296,131454,133536,126344],"interval_residues":[676,54,676,54,676,54],"display_cycle":[676,54,676,54,676,54],"intervals":[{"from_index":268,"to_index":638,"sum":137186,"residue":676},{"from_index":638,"to_index":1008,"sum":135834,"residue":54},{"from_index":1008,"to_index":1378,"sum":142296,"residue":676},{"from_index":1378,"to_index":1748,"sum":131454,"residue":54},{"from_index":1748,"to_index":2118,"sum":133536,"residue":676},{"from_index":2118,"to_index":268,"sum":126344,"residue":54}],"minimal_cycle":[676,54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":676,"start_interval_clock_positions":[268,638],"circle_positions":730,"cycle_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":[269,639,1009,1379,1749,2119],"clock_positions":[269,639,1009,1379,1749,2119],"native_values":[559,536,559,171,194,171],"rotation_degrees":43.62162162162162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[559,536,559,171,194,171],"beta":{"interval_sums":[137326,135694,142436,131314,133676,126204],"interval_residues":[86,644,86,644,86,644],"display_cycle":[86,644,86,644,86,644],"intervals":[{"from_index":269,"to_index":639,"sum":137326,"residue":86},{"from_index":639,"to_index":1009,"sum":135694,"residue":644},{"from_index":1009,"to_index":1379,"sum":142436,"residue":86},{"from_index":1379,"to_index":1749,"sum":131314,"residue":644},{"from_index":1749,"to_index":2119,"sum":133676,"residue":86},{"from_index":2119,"to_index":269,"sum":126204,"residue":644}],"minimal_cycle":[86,644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":86,"start_interval_clock_positions":[269,639],"circle_positions":730,"cycle_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":[270,640,1010,1380,1750,2120],"clock_positions":[270,640,1010,1380,1750,2120],"native_values":[590,505,225,140,225,505],"rotation_degrees":43.78378378378378,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[590,505,225,140,225,505],"beta":{"interval_sums":[137272,135748,142382,131368,133622,126258],"interval_residues":[32,698,32,698,32,698],"display_cycle":[32,698,32,698,32,698],"intervals":[{"from_index":270,"to_index":640,"sum":137272,"residue":32},{"from_index":640,"to_index":1010,"sum":135748,"residue":698},{"from_index":1010,"to_index":1380,"sum":142382,"residue":32},{"from_index":1380,"to_index":1750,"sum":131368,"residue":698},{"from_index":1750,"to_index":2120,"sum":133622,"residue":32},{"from_index":2120,"to_index":270,"sum":126258,"residue":698}],"minimal_cycle":[32,698],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":32,"start_interval_clock_positions":[270,640],"circle_positions":730,"cycle_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":[271,641,1011,1381,1751,2121],"clock_positions":[271,641,1011,1381,1751,2121],"native_values":[419,311,54,311,419,676],"rotation_degrees":43.945945945945944,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[419,311,54,311,419,676],"beta":{"interval_sums":[137358,135662,142468,131282,133708,126172],"interval_residues":[118,612,118,612,118,612],"display_cycle":[118,612,118,612,118,612],"intervals":[{"from_index":271,"to_index":641,"sum":137358,"residue":118},{"from_index":641,"to_index":1011,"sum":135662,"residue":612},{"from_index":1011,"to_index":1381,"sum":142468,"residue":118},{"from_index":1381,"to_index":1751,"sum":131282,"residue":612},{"from_index":1751,"to_index":2121,"sum":133708,"residue":118},{"from_index":2121,"to_index":271,"sum":126172,"residue":612}],"minimal_cycle":[118,612],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":118,"start_interval_clock_positions":[271,641],"circle_positions":730,"cycle_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":[272,642,1012,1382,1752,2122],"clock_positions":[272,642,1012,1382,1752,2122],"native_values":[279,86,279,451,644,451],"rotation_degrees":44.108108108108105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,86,279,451,644,451],"beta":{"interval_sums":[137390,135630,142500,131250,133740,126140],"interval_residues":[150,580,150,580,150,580],"display_cycle":[150,580,150,580,150,580],"intervals":[{"from_index":272,"to_index":642,"sum":137390,"residue":150},{"from_index":642,"to_index":1012,"sum":135630,"residue":580},{"from_index":1012,"to_index":1382,"sum":142500,"residue":150},{"from_index":1382,"to_index":1752,"sum":131250,"residue":580},{"from_index":1752,"to_index":2122,"sum":133740,"residue":150},{"from_index":2122,"to_index":272,"sum":126140,"residue":580}],"minimal_cycle":[150,580],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[272,642],"circle_positions":730,"cycle_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":[273,643,1013,1383,1753,2123],"clock_positions":[273,643,1013,1383,1753,2123],"native_values":[698,397,333,32,333,397],"rotation_degrees":44.270270270270274,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[698,397,333,32,333,397],"beta":{"interval_sums":[136778,135512,142618,131862,133858,126022],"interval_residues":[268,462,268,462,268,462],"display_cycle":[268,462,268,462,268,462],"intervals":[{"from_index":273,"to_index":643,"sum":136778,"residue":268},{"from_index":643,"to_index":1013,"sum":135512,"residue":462},{"from_index":1013,"to_index":1383,"sum":142618,"residue":268},{"from_index":1383,"to_index":1753,"sum":131862,"residue":462},{"from_index":1753,"to_index":2123,"sum":133858,"residue":268},{"from_index":2123,"to_index":273,"sum":126022,"residue":462}],"minimal_cycle":[268,462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":268,"start_interval_clock_positions":[273,643],"circle_positions":730,"cycle_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":[274,644,1014,1384,1754,2124],"clock_positions":[274,644,1014,1384,1754,2124],"native_values":[247,483,612,483,247,118],"rotation_degrees":44.432432432432435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,483,612,483,247,118],"beta":{"interval_sums":[136928,135362,142038,131712,134008,126602],"interval_residues":[418,312,418,312,418,312],"display_cycle":[418,312,418,312,418,312],"intervals":[{"from_index":274,"to_index":644,"sum":136928,"residue":418},{"from_index":644,"to_index":1014,"sum":135362,"residue":312},{"from_index":1014,"to_index":1384,"sum":142038,"residue":418},{"from_index":1384,"to_index":1754,"sum":131712,"residue":312},{"from_index":1754,"to_index":2124,"sum":134008,"residue":418},{"from_index":2124,"to_index":274,"sum":126602,"residue":312}],"minimal_cycle":[418,312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":418,"start_interval_clock_positions":[274,644],"circle_positions":730,"cycle_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":[275,645,1015,1385,1755,2125],"clock_positions":[275,645,1015,1385,1755,2125],"native_values":[215,150,215,515,580,515],"rotation_degrees":44.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[215,150,215,515,580,515],"beta":{"interval_sums":[137196,135824,142306,131444,133546,126334],"interval_residues":[686,44,686,44,686,44],"display_cycle":[686,44,686,44,686,44],"intervals":[{"from_index":275,"to_index":645,"sum":137196,"residue":686},{"from_index":645,"to_index":1015,"sum":135824,"residue":44},{"from_index":1015,"to_index":1385,"sum":142306,"residue":686},{"from_index":1385,"to_index":1755,"sum":131444,"residue":44},{"from_index":1755,"to_index":2125,"sum":133546,"residue":686},{"from_index":2125,"to_index":275,"sum":126334,"residue":44}],"minimal_cycle":[686,44],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":686,"start_interval_clock_positions":[275,645],"circle_positions":730,"cycle_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":[276,646,1016,1386,1756,2126],"clock_positions":[276,646,1016,1386,1756,2126],"native_values":[462,633,97,268,97,633],"rotation_degrees":44.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[462,633,97,268,97,633],"beta":{"interval_sums":[136884,135406,142724,131756,133964,125916],"interval_residues":[374,356,374,356,374,356],"display_cycle":[374,356,374,356,374,356],"intervals":[{"from_index":276,"to_index":646,"sum":136884,"residue":374},{"from_index":646,"to_index":1016,"sum":135406,"residue":356},{"from_index":1016,"to_index":1386,"sum":142724,"residue":374},{"from_index":1386,"to_index":1756,"sum":131756,"residue":356},{"from_index":1756,"to_index":2126,"sum":133964,"residue":374},{"from_index":2126,"to_index":276,"sum":125916,"residue":356}],"minimal_cycle":[374,356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":374,"start_interval_clock_positions":[276,646],"circle_positions":730,"cycle_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":[277,647,1017,1387,1757,2127],"clock_positions":[277,647,1017,1387,1757,2127],"native_values":[677,53,312,53,677,418],"rotation_degrees":44.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[677,53,312,53,677,418],"beta":{"interval_sums":[136840,135450,142680,131800,133920,125960],"interval_residues":[330,400,330,400,330,400],"display_cycle":[330,400,330,400,330,400],"intervals":[{"from_index":277,"to_index":647,"sum":136840,"residue":330},{"from_index":647,"to_index":1017,"sum":135450,"residue":400},{"from_index":1017,"to_index":1387,"sum":142680,"residue":330},{"from_index":1387,"to_index":1757,"sum":131800,"residue":400},{"from_index":1757,"to_index":2127,"sum":133920,"residue":330},{"from_index":2127,"to_index":277,"sum":125960,"residue":400}],"minimal_cycle":[330,400],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[277,647],"circle_positions":730,"cycle_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":[278,648,1018,1388,1758,2128],"clock_positions":[278,648,1018,1388,1758,2128],"native_values":[409,686,409,321,44,321],"rotation_degrees":45.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,686,409,321,44,321],"beta":{"interval_sums":[136484,135076,142324,132156,134294,126316],"interval_residues":[704,26,704,26,704,26],"display_cycle":[704,26,704,26,704,26],"intervals":[{"from_index":278,"to_index":648,"sum":136484,"residue":704},{"from_index":648,"to_index":1018,"sum":135076,"residue":26},{"from_index":1018,"to_index":1388,"sum":142324,"residue":704},{"from_index":1388,"to_index":1758,"sum":132156,"residue":26},{"from_index":1758,"to_index":2128,"sum":134294,"residue":704},{"from_index":2128,"to_index":278,"sum":126316,"residue":26}],"minimal_cycle":[704,26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":704,"start_interval_clock_positions":[278,648],"circle_positions":730,"cycle_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":[279,649,1019,1389,1759,2129],"clock_positions":[279,649,1019,1389,1759,2129],"native_values":[356,9,721,374,721,9],"rotation_degrees":45.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[356,9,721,374,721,9],"beta":{"interval_sums":[136814,135476,141924,131826,133894,126716],"interval_residues":[304,426,304,426,304,426],"display_cycle":[304,426,304,426,304,426],"intervals":[{"from_index":279,"to_index":649,"sum":136814,"residue":304},{"from_index":649,"to_index":1019,"sum":135476,"residue":426},{"from_index":1019,"to_index":1389,"sum":141924,"residue":304},{"from_index":1389,"to_index":1759,"sum":131826,"residue":426},{"from_index":1759,"to_index":2129,"sum":133894,"residue":304},{"from_index":2129,"to_index":279,"sum":126716,"residue":426}],"minimal_cycle":[304,426],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":304,"start_interval_clock_positions":[279,649],"circle_positions":730,"cycle_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":[280,650,1020,1390,1760,2130],"clock_positions":[280,650,1020,1390,1760,2130],"native_values":[35,695,400,695,35,330],"rotation_degrees":45.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[35,695,400,695,35,330],"beta":{"interval_sums":[136788,135502,141898,131852,133868,126742],"interval_residues":[278,452,278,452,278,452],"display_cycle":[278,452,278,452,278,452],"intervals":[{"from_index":280,"to_index":650,"sum":136788,"residue":278},{"from_index":650,"to_index":1020,"sum":135502,"residue":452},{"from_index":1020,"to_index":1390,"sum":141898,"residue":278},{"from_index":1390,"to_index":1760,"sum":131852,"residue":452},{"from_index":1760,"to_index":2130,"sum":133868,"residue":278},{"from_index":2130,"to_index":280,"sum":126742,"residue":452}],"minimal_cycle":[278,452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":278,"start_interval_clock_positions":[280,650],"circle_positions":730,"cycle_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":[281,651,1021,1391,1761,2131],"clock_positions":[281,651,1021,1391,1761,2131],"native_values":[391,704,391,339,26,339],"rotation_degrees":45.567567567567565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,704,391,339,26,339],"beta":{"interval_sums":[137092,135198,142202,131548,134172,126438],"interval_residues":[582,148,582,148,582,148],"display_cycle":[582,148,582,148,582,148],"intervals":[{"from_index":281,"to_index":651,"sum":137092,"residue":582},{"from_index":651,"to_index":1021,"sum":135198,"residue":148},{"from_index":1021,"to_index":1391,"sum":142202,"residue":582},{"from_index":1391,"to_index":1761,"sum":131548,"residue":148},{"from_index":1761,"to_index":2131,"sum":134172,"residue":582},{"from_index":2131,"to_index":281,"sum":126438,"residue":148}],"minimal_cycle":[582,148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":582,"start_interval_clock_positions":[281,651],"circle_positions":730,"cycle_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":[282,652,1022,1392,1762,2132],"clock_positions":[282,652,1022,1392,1762,2132],"native_values":[426,669,61,304,61,669],"rotation_degrees":45.729729729729726,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[426,669,61,304,61,669],"beta":{"interval_sums":[137370,134920,142480,131270,134450,126160],"interval_residues":[130,600,130,600,130,600],"display_cycle":[130,600,130,600,130,600],"intervals":[{"from_index":282,"to_index":652,"sum":137370,"residue":130},{"from_index":652,"to_index":1022,"sum":134920,"residue":600},{"from_index":1022,"to_index":1392,"sum":142480,"residue":130},{"from_index":1392,"to_index":1762,"sum":131270,"residue":600},{"from_index":1762,"to_index":2132,"sum":134450,"residue":130},{"from_index":2132,"to_index":282,"sum":126160,"residue":600}],"minimal_cycle":[130,600],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[282,652],"circle_positions":730,"cycle_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":[283,653,1023,1393,1763,2133],"clock_positions":[283,653,1023,1393,1763,2133],"native_values":[87,643,452,643,87,278],"rotation_degrees":45.891891891891895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[87,643,452,643,87,278],"beta":{"interval_sums":[137952,134338,142332,130688,135032,126308],"interval_residues":[712,18,712,18,712,18],"display_cycle":[712,18,712,18,712,18],"intervals":[{"from_index":283,"to_index":653,"sum":137952,"residue":712},{"from_index":653,"to_index":1023,"sum":134338,"residue":18},{"from_index":1023,"to_index":1393,"sum":142332,"residue":712},{"from_index":1393,"to_index":1763,"sum":130688,"residue":18},{"from_index":1763,"to_index":2133,"sum":135032,"residue":712},{"from_index":2133,"to_index":283,"sum":126308,"residue":18}],"minimal_cycle":[712,18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":712,"start_interval_clock_positions":[283,653],"circle_positions":730,"cycle_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":[284,654,1024,1394,1764,2134],"clock_positions":[284,654,1024,1394,1764,2134],"native_values":[513,582,513,217,148,217],"rotation_degrees":46.054054054054056,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,582,513,217,148,217],"beta":{"interval_sums":[138082,134208,142462,130558,135162,126178],"interval_residues":[112,618,112,618,112,618],"display_cycle":[112,618,112,618,112,618],"intervals":[{"from_index":284,"to_index":654,"sum":138082,"residue":112},{"from_index":654,"to_index":1024,"sum":134208,"residue":618},{"from_index":1024,"to_index":1394,"sum":142462,"residue":112},{"from_index":1394,"to_index":1764,"sum":130558,"residue":618},{"from_index":1764,"to_index":2134,"sum":135162,"residue":112},{"from_index":2134,"to_index":284,"sum":126178,"residue":618}],"minimal_cycle":[112,618],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":112,"start_interval_clock_positions":[284,654],"circle_positions":730,"cycle_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":[285,655,1025,1395,1765,2135],"clock_positions":[285,655,1025,1395,1765,2135],"native_values":[600,495,235,130,235,495],"rotation_degrees":46.21621621621622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[600,495,235,130,235,495],"beta":{"interval_sums":[138064,134226,142444,130576,135144,126196],"interval_residues":[94,636,94,636,94,636],"display_cycle":[94,636,94,636,94,636],"intervals":[{"from_index":285,"to_index":655,"sum":138064,"residue":94},{"from_index":655,"to_index":1025,"sum":134226,"residue":636},{"from_index":1025,"to_index":1395,"sum":142444,"residue":94},{"from_index":1395,"to_index":1765,"sum":130576,"residue":636},{"from_index":1765,"to_index":2135,"sum":135144,"residue":94},{"from_index":2135,"to_index":285,"sum":126196,"residue":636}],"minimal_cycle":[94,636],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":94,"start_interval_clock_positions":[285,655],"circle_positions":730,"cycle_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":[286,656,1026,1396,1766,2136],"clock_positions":[286,656,1026,1396,1766,2136],"native_values":[383,347,18,347,383,712],"rotation_degrees":46.37837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[383,347,18,347,383,712],"beta":{"interval_sums":[138176,134114,142556,130464,135256,126084],"interval_residues":[206,524,206,524,206,524],"display_cycle":[206,524,206,524,206,524],"intervals":[{"from_index":286,"to_index":656,"sum":138176,"residue":206},{"from_index":656,"to_index":1026,"sum":134114,"residue":524},{"from_index":1026,"to_index":1396,"sum":142556,"residue":206},{"from_index":1396,"to_index":1766,"sum":130464,"residue":524},{"from_index":1766,"to_index":2136,"sum":135256,"residue":206},{"from_index":2136,"to_index":286,"sum":126084,"residue":524}],"minimal_cycle":[206,524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[286,656],"circle_positions":730,"cycle_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":[287,657,1027,1397,1767,2137],"clock_positions":[287,657,1027,1397,1767,2137],"native_values":[253,112,253,477,618,477],"rotation_degrees":46.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[253,112,253,477,618,477],"beta":{"interval_sums":[138270,134020,142650,130370,135350,125990],"interval_residues":[300,430,300,430,300,430],"display_cycle":[300,430,300,430,300,430],"intervals":[{"from_index":287,"to_index":657,"sum":138270,"residue":300},{"from_index":657,"to_index":1027,"sum":134020,"residue":430},{"from_index":1027,"to_index":1397,"sum":142650,"residue":300},{"from_index":1397,"to_index":1767,"sum":130370,"residue":430},{"from_index":1767,"to_index":2137,"sum":135350,"residue":300},{"from_index":2137,"to_index":287,"sum":125990,"residue":430}],"minimal_cycle":[300,430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":300,"start_interval_clock_positions":[287,657],"circle_positions":730,"cycle_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":[288,658,1028,1398,1768,2138],"clock_positions":[288,658,1028,1398,1768,2138],"native_values":[636,459,271,94,271,459],"rotation_degrees":46.7027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[636,459,271,94,271,459],"beta":{"interval_sums":[137746,133814,142856,130894,135556,125784],"interval_residues":[506,224,506,224,506,224],"display_cycle":[506,224,506,224,506,224],"intervals":[{"from_index":288,"to_index":658,"sum":137746,"residue":506},{"from_index":658,"to_index":1028,"sum":133814,"residue":224},{"from_index":1028,"to_index":1398,"sum":142856,"residue":506},{"from_index":1398,"to_index":1768,"sum":130894,"residue":224},{"from_index":1768,"to_index":2138,"sum":135556,"residue":506},{"from_index":2138,"to_index":288,"sum":125784,"residue":224}],"minimal_cycle":[506,224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":506,"start_interval_clock_positions":[288,658],"circle_positions":730,"cycle_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":[289,659,1029,1399,1769,2139],"clock_positions":[289,659,1029,1399,1769,2139],"native_values":[159,571,524,571,159,206],"rotation_degrees":46.86486486486486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[159,571,524,571,159,206],"beta":{"interval_sums":[138046,133514,142426,130594,135856,126214],"interval_residues":[76,654,76,654,76,654],"display_cycle":[76,654,76,654,76,654],"intervals":[{"from_index":289,"to_index":659,"sum":138046,"residue":76},{"from_index":659,"to_index":1029,"sum":133514,"residue":654},{"from_index":1029,"to_index":1399,"sum":142426,"residue":76},{"from_index":1399,"to_index":1769,"sum":130594,"residue":654},{"from_index":1769,"to_index":2139,"sum":135856,"residue":76},{"from_index":2139,"to_index":289,"sum":126214,"residue":654}],"minimal_cycle":[76,654],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[289,659],"circle_positions":730,"cycle_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":[290,660,1030,1400,1770,2140],"clock_positions":[290,660,1030,1400,1770,2140],"native_values":[65,300,65,665,430,665],"rotation_degrees":47.027027027027025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,300,65,665,430,665],"beta":{"interval_sums":[138552,133738,142932,130088,135632,125708],"interval_residues":[582,148,582,148,582,148],"display_cycle":[582,148,582,148,582,148],"intervals":[{"from_index":290,"to_index":660,"sum":138552,"residue":582},{"from_index":660,"to_index":1030,"sum":133738,"residue":148},{"from_index":1030,"to_index":1400,"sum":142932,"residue":582},{"from_index":1400,"to_index":1770,"sum":130088,"residue":148},{"from_index":1770,"to_index":2140,"sum":135632,"residue":582},{"from_index":2140,"to_index":290,"sum":125708,"residue":148}],"minimal_cycle":[582,148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":582,"start_interval_clock_positions":[290,660],"circle_positions":730,"cycle_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":[291,661,1031,1401,1771,2141],"clock_positions":[291,661,1031,1401,1771,2141],"native_values":[224,141,589,506,589,141],"rotation_degrees":47.189189189189186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[224,141,589,506,589,141],"beta":{"interval_sums":[138628,133662,143008,130012,135708,125632],"interval_residues":[658,72,658,72,658,72],"display_cycle":[658,72,658,72,658,72],"intervals":[{"from_index":291,"to_index":661,"sum":138628,"residue":658},{"from_index":661,"to_index":1031,"sum":133662,"residue":72},{"from_index":1031,"to_index":1401,"sum":143008,"residue":658},{"from_index":1401,"to_index":1771,"sum":130012,"residue":72},{"from_index":1771,"to_index":2141,"sum":135708,"residue":658},{"from_index":2141,"to_index":291,"sum":125632,"residue":72}],"minimal_cycle":[658,72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":658,"start_interval_clock_positions":[291,661],"circle_positions":730,"cycle_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":[292,662,1032,1402,1772,2142],"clock_positions":[292,662,1032,1402,1772,2142],"native_values":[289,441,654,441,289,76],"rotation_degrees":47.351351351351354,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[289,441,654,441,289,76],"beta":{"interval_sums":[138480,133810,142860,130160,135560,125780],"interval_residues":[510,220,510,220,510,220],"display_cycle":[510,220,510,220,510,220],"intervals":[{"from_index":292,"to_index":662,"sum":138480,"residue":510},{"from_index":662,"to_index":1032,"sum":133810,"residue":220},{"from_index":1032,"to_index":1402,"sum":142860,"residue":510},{"from_index":1402,"to_index":1772,"sum":130160,"residue":220},{"from_index":1772,"to_index":2142,"sum":135560,"residue":510},{"from_index":2142,"to_index":292,"sum":125780,"residue":220}],"minimal_cycle":[510,220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[292,662],"circle_positions":730,"cycle_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":[293,663,1033,1403,1773,2143],"clock_positions":[293,663,1033,1403,1773,2143],"native_values":[513,582,513,217,148,217],"rotation_degrees":47.513513513513516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,582,513,217,148,217],"beta":{"interval_sums":[138408,133882,142788,130232,135488,125852],"interval_residues":[438,292,438,292,438,292],"display_cycle":[438,292,438,292,438,292],"intervals":[{"from_index":293,"to_index":663,"sum":138408,"residue":438},{"from_index":663,"to_index":1033,"sum":133882,"residue":292},{"from_index":1033,"to_index":1403,"sum":142788,"residue":438},{"from_index":1403,"to_index":1773,"sum":130232,"residue":292},{"from_index":1773,"to_index":2143,"sum":135488,"residue":438},{"from_index":2143,"to_index":293,"sum":125852,"residue":292}],"minimal_cycle":[438,292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":438,"start_interval_clock_positions":[293,663],"circle_positions":730,"cycle_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":[294,664,1034,1404,1774,2144],"clock_positions":[294,664,1034,1404,1774,2144],"native_values":[72,293,437,658,437,293],"rotation_degrees":47.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[72,293,437,658,437,293],"beta":{"interval_sums":[138918,134102,142568,129722,135268,126072],"interval_residues":[218,512,218,512,218,512],"display_cycle":[218,512,218,512,218,512],"intervals":[{"from_index":294,"to_index":664,"sum":138918,"residue":218},{"from_index":664,"to_index":1034,"sum":134102,"residue":512},{"from_index":1034,"to_index":1404,"sum":142568,"residue":218},{"from_index":1404,"to_index":1774,"sum":129722,"residue":512},{"from_index":1774,"to_index":2144,"sum":135268,"residue":218},{"from_index":2144,"to_index":294,"sum":126072,"residue":512}],"minimal_cycle":[218,512],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":218,"start_interval_clock_positions":[294,664],"circle_positions":730,"cycle_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":[295,665,1035,1405,1775,2145],"clock_positions":[295,665,1035,1405,1775,2145],"native_values":[585,145,220,145,585,510],"rotation_degrees":47.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[585,145,220,145,585,510],"beta":{"interval_sums":[138626,134394,143006,130014,134976,125634],"interval_residues":[656,74,656,74,656,74],"display_cycle":[656,74,656,74,656,74],"intervals":[{"from_index":295,"to_index":665,"sum":138626,"residue":656},{"from_index":665,"to_index":1035,"sum":134394,"residue":74},{"from_index":1035,"to_index":1405,"sum":143006,"residue":656},{"from_index":1405,"to_index":1775,"sum":130014,"residue":74},{"from_index":1775,"to_index":2145,"sum":134976,"residue":656},{"from_index":2145,"to_index":295,"sum":125634,"residue":74}],"minimal_cycle":[656,74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":656,"start_interval_clock_positions":[295,665],"circle_positions":730,"cycle_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":[296,666,1036,1406,1776,2146],"clock_positions":[296,666,1036,1406,1776,2146],"native_values":[657,438,657,73,292,73],"rotation_degrees":48.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,438,657,73,292,73],"beta":{"interval_sums":[138114,134176,142494,130526,135194,126146],"interval_residues":[144,586,144,586,144,586],"display_cycle":[144,586,144,586,144,586],"intervals":[{"from_index":296,"to_index":666,"sum":138114,"residue":144},{"from_index":666,"to_index":1036,"sum":134176,"residue":586},{"from_index":1036,"to_index":1406,"sum":142494,"residue":144},{"from_index":1406,"to_index":1776,"sum":130526,"residue":586},{"from_index":1776,"to_index":2146,"sum":135194,"residue":144},{"from_index":2146,"to_index":296,"sum":126146,"residue":586}],"minimal_cycle":[144,586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[296,666],"circle_positions":730,"cycle_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":[297,667,1037,1407,1777,2147],"clock_positions":[297,667,1037,1407,1777,2147],"native_values":[512,583,147,218,147,583],"rotation_degrees":48.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[512,583,147,218,147,583],"beta":{"interval_sums":[138040,134250,142420,130600,135120,126220],"interval_residues":[70,660,70,660,70,660],"display_cycle":[70,660,70,660,70,660],"intervals":[{"from_index":297,"to_index":667,"sum":138040,"residue":70},{"from_index":667,"to_index":1037,"sum":134250,"residue":660},{"from_index":1037,"to_index":1407,"sum":142420,"residue":70},{"from_index":1407,"to_index":1777,"sum":130600,"residue":660},{"from_index":1777,"to_index":2147,"sum":135120,"residue":70},{"from_index":2147,"to_index":297,"sum":126220,"residue":660}],"minimal_cycle":[70,660],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[297,667],"circle_positions":730,"cycle_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":[298,668,1038,1408,1778,2148],"clock_positions":[298,668,1038,1408,1778,2148],"native_values":[439,291,74,291,439,656],"rotation_degrees":48.32432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[439,291,74,291,439,656],"beta":{"interval_sums":[138184,134106,142564,130456,135264,126076],"interval_residues":[214,516,214,516,214,516],"display_cycle":[214,516,214,516,214,516],"intervals":[{"from_index":298,"to_index":668,"sum":138184,"residue":214},{"from_index":668,"to_index":1038,"sum":134106,"residue":516},{"from_index":1038,"to_index":1408,"sum":142564,"residue":214},{"from_index":1408,"to_index":1778,"sum":130456,"residue":516},{"from_index":1778,"to_index":2148,"sum":135264,"residue":214},{"from_index":2148,"to_index":298,"sum":126076,"residue":516}],"minimal_cycle":[214,516],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":214,"start_interval_clock_positions":[298,668],"circle_positions":730,"cycle_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":[299,669,1039,1409,1779,2149],"clock_positions":[299,669,1039,1409,1779,2149],"native_values":[221,144,221,509,586,509],"rotation_degrees":48.486486486486484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,144,221,509,586,509],"beta":{"interval_sums":[138254,134036,142634,130386,135334,126006],"interval_residues":[284,446,284,446,284,446],"display_cycle":[284,446,284,446,284,446],"intervals":[{"from_index":299,"to_index":669,"sum":138254,"residue":284},{"from_index":669,"to_index":1039,"sum":134036,"residue":446},{"from_index":1039,"to_index":1409,"sum":142634,"residue":284},{"from_index":1409,"to_index":1779,"sum":130386,"residue":446},{"from_index":1779,"to_index":2149,"sum":135334,"residue":284},{"from_index":2149,"to_index":299,"sum":126006,"residue":446}],"minimal_cycle":[284,446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":284,"start_interval_clock_positions":[299,669],"circle_positions":730,"cycle_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":[300,670,1040,1410,1780,2150],"clock_positions":[300,670,1040,1410,1780,2150],"native_values":[660,435,295,70,295,435],"rotation_degrees":48.648648648648646,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[660,435,295,70,295,435],"beta":{"interval_sums":[137738,133822,142848,130902,135548,125792],"interval_residues":[498,232,498,232,498,232],"display_cycle":[498,232,498,232,498,232],"intervals":[{"from_index":300,"to_index":670,"sum":137738,"residue":498},{"from_index":670,"to_index":1040,"sum":133822,"residue":232},{"from_index":1040,"to_index":1410,"sum":142848,"residue":498},{"from_index":1410,"to_index":1780,"sum":130902,"residue":232},{"from_index":1780,"to_index":2150,"sum":135548,"residue":498},{"from_index":2150,"to_index":300,"sum":125792,"residue":232}],"minimal_cycle":[498,232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[300,670],"circle_positions":730,"cycle_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":[301,671,1041,1411,1781,2151],"clock_positions":[301,671,1041,1411,1781,2151],"native_values":[151,579,516,579,151,214],"rotation_degrees":48.810810810810814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,579,516,579,151,214],"beta":{"interval_sums":[138022,133538,142402,130618,135832,126238],"interval_residues":[52,678,52,678,52,678],"display_cycle":[52,678,52,678,52,678],"intervals":[{"from_index":301,"to_index":671,"sum":138022,"residue":52},{"from_index":671,"to_index":1041,"sum":133538,"residue":678},{"from_index":1041,"to_index":1411,"sum":142402,"residue":52},{"from_index":1411,"to_index":1781,"sum":130618,"residue":678},{"from_index":1781,"to_index":2151,"sum":135832,"residue":52},{"from_index":2151,"to_index":301,"sum":126238,"residue":678}],"minimal_cycle":[52,678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[301,671],"circle_positions":730,"cycle_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":[302,672,1042,1412,1782,2152],"clock_positions":[302,672,1042,1412,1782,2152],"native_values":[81,284,81,649,446,649],"rotation_degrees":48.972972972972975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,284,81,649,446,649],"beta":{"interval_sums":[138520,133770,142900,130120,135600,125740],"interval_residues":[550,180,550,180,550,180],"display_cycle":[550,180,550,180,550,180],"intervals":[{"from_index":302,"to_index":672,"sum":138520,"residue":550},{"from_index":672,"to_index":1042,"sum":133770,"residue":180},{"from_index":1042,"to_index":1412,"sum":142900,"residue":550},{"from_index":1412,"to_index":1782,"sum":130120,"residue":180},{"from_index":1782,"to_index":2152,"sum":135600,"residue":550},{"from_index":2152,"to_index":302,"sum":125740,"residue":180}],"minimal_cycle":[550,180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":550,"start_interval_clock_positions":[302,672],"circle_positions":730,"cycle_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":[303,673,1043,1413,1783,2153],"clock_positions":[303,673,1043,1413,1783,2153],"native_values":[232,133,597,498,597,133],"rotation_degrees":49.13513513513514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[232,133,597,498,597,133],"beta":{"interval_sums":[138572,133718,142952,130068,135652,125688],"interval_residues":[602,128,602,128,602,128],"display_cycle":[602,128,602,128,602,128],"intervals":[{"from_index":303,"to_index":673,"sum":138572,"residue":602},{"from_index":673,"to_index":1043,"sum":133718,"residue":128},{"from_index":1043,"to_index":1413,"sum":142952,"residue":602},{"from_index":1413,"to_index":1783,"sum":130068,"residue":128},{"from_index":1783,"to_index":2153,"sum":135652,"residue":602},{"from_index":2153,"to_index":303,"sum":125688,"residue":128}],"minimal_cycle":[602,128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":602,"start_interval_clock_positions":[303,673],"circle_positions":730,"cycle_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":[304,674,1044,1414,1784,2154],"clock_positions":[304,674,1044,1414,1784,2154],"native_values":[313,417,678,417,313,52],"rotation_degrees":49.2972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,417,678,417,313,52],"beta":{"interval_sums":[138392,133898,142772,130248,135472,125868],"interval_residues":[422,308,422,308,422,308],"display_cycle":[422,308,422,308,422,308],"intervals":[{"from_index":304,"to_index":674,"sum":138392,"residue":422},{"from_index":674,"to_index":1044,"sum":133898,"residue":308},{"from_index":1044,"to_index":1414,"sum":142772,"residue":422},{"from_index":1414,"to_index":1784,"sum":130248,"residue":308},{"from_index":1784,"to_index":2154,"sum":135472,"residue":422},{"from_index":2154,"to_index":304,"sum":125868,"residue":308}],"minimal_cycle":[422,308],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":422,"start_interval_clock_positions":[304,674],"circle_positions":730,"cycle_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":[305,675,1045,1415,1785,2155],"clock_positions":[305,675,1045,1415,1785,2155],"native_values":[545,550,545,185,180,185],"rotation_degrees":49.45945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,550,545,185,180,185],"beta":{"interval_sums":[138264,134026,142644,130376,135344,125996],"interval_residues":[294,436,294,436,294,436],"display_cycle":[294,436,294,436,294,436],"intervals":[{"from_index":305,"to_index":675,"sum":138264,"residue":294},{"from_index":675,"to_index":1045,"sum":134026,"residue":436},{"from_index":1045,"to_index":1415,"sum":142644,"residue":294},{"from_index":1415,"to_index":1785,"sum":130376,"residue":436},{"from_index":1785,"to_index":2155,"sum":135344,"residue":294},{"from_index":2155,"to_index":305,"sum":125996,"residue":436}],"minimal_cycle":[294,436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[305,675],"circle_positions":730,"cycle_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":[306,676,1046,1416,1786,2156],"clock_positions":[306,676,1046,1416,1786,2156],"native_values":[128,237,493,602,493,237],"rotation_degrees":49.62162162162162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[128,237,493,602,493,237],"beta":{"interval_sums":[138686,134334,142336,129954,135036,126304],"interval_residues":[716,14,716,14,716,14],"display_cycle":[716,14,716,14,716,14],"intervals":[{"from_index":306,"to_index":676,"sum":138686,"residue":716},{"from_index":676,"to_index":1046,"sum":134334,"residue":14},{"from_index":1046,"to_index":1416,"sum":142336,"residue":716},{"from_index":1416,"to_index":1786,"sum":129954,"residue":14},{"from_index":1786,"to_index":2156,"sum":135036,"residue":716},{"from_index":2156,"to_index":306,"sum":126304,"residue":14}],"minimal_cycle":[716,14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":716,"start_interval_clock_positions":[306,676],"circle_positions":730,"cycle_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":[307,677,1047,1417,1787,2157],"clock_positions":[307,677,1047,1417,1787,2157],"native_values":[673,57,308,57,673,422],"rotation_degrees":49.78378378378378,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[673,57,308,57,673,422],"beta":{"interval_sums":[138250,134770,142630,130390,134600,126010],"interval_residues":[280,450,280,450,280,450],"display_cycle":[280,450,280,450,280,450],"intervals":[{"from_index":307,"to_index":677,"sum":138250,"residue":280},{"from_index":677,"to_index":1047,"sum":134770,"residue":450},{"from_index":1047,"to_index":1417,"sum":142630,"residue":280},{"from_index":1417,"to_index":1787,"sum":130390,"residue":450},{"from_index":1787,"to_index":2157,"sum":134600,"residue":280},{"from_index":2157,"to_index":307,"sum":126010,"residue":450}],"minimal_cycle":[280,450],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":280,"start_interval_clock_positions":[307,677],"circle_positions":730,"cycle_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":[308,678,1048,1418,1788,2158],"clock_positions":[308,678,1048,1418,1788,2158],"native_values":[71,294,71,659,436,659],"rotation_degrees":49.945945945945944,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[71,294,71,659,436,659],"beta":{"interval_sums":[138236,134784,142616,130404,134586,126024],"interval_residues":[266,464,266,464,266,464],"display_cycle":[266,464,266,464,266,464],"intervals":[{"from_index":308,"to_index":678,"sum":138236,"residue":266},{"from_index":678,"to_index":1048,"sum":134784,"residue":464},{"from_index":1048,"to_index":1418,"sum":142616,"residue":266},{"from_index":1418,"to_index":1788,"sum":130404,"residue":464},{"from_index":1788,"to_index":2158,"sum":134586,"residue":266},{"from_index":2158,"to_index":308,"sum":126024,"residue":464}],"minimal_cycle":[266,464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[308,678],"circle_positions":730,"cycle_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":[309,679,1049,1419,1789,2159],"clock_positions":[309,679,1049,1419,1789,2159],"native_values":[14,351,379,716,379,351],"rotation_degrees":50.108108108108105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[14,351,379,716,379,351],"beta":{"interval_sums":[138516,134504,142896,130124,134866,125744],"interval_residues":[546,184,546,184,546,184],"display_cycle":[546,184,546,184,546,184],"intervals":[{"from_index":309,"to_index":679,"sum":138516,"residue":546},{"from_index":679,"to_index":1049,"sum":134504,"residue":184},{"from_index":1049,"to_index":1419,"sum":142896,"residue":546},{"from_index":1419,"to_index":1789,"sum":130124,"residue":184},{"from_index":1789,"to_index":2159,"sum":134866,"residue":546},{"from_index":2159,"to_index":309,"sum":125744,"residue":184}],"minimal_cycle":[546,184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":546,"start_interval_clock_positions":[309,679],"circle_positions":730,"cycle_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":[310,680,1050,1420,1790,2160],"clock_positions":[310,680,1050,1420,1790,2160],"native_values":[85,645,450,645,85,280],"rotation_degrees":50.270270270270274,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,645,450,645,85,280],"beta":{"interval_sums":[138782,134238,143162,129858,135132,125478],"interval_residues":[82,648,82,648,82,648],"display_cycle":[82,648,82,648,82,648],"intervals":[{"from_index":310,"to_index":680,"sum":138782,"residue":82},{"from_index":680,"to_index":1050,"sum":134238,"residue":648},{"from_index":1050,"to_index":1420,"sum":143162,"residue":82},{"from_index":1420,"to_index":1790,"sum":129858,"residue":648},{"from_index":1790,"to_index":2160,"sum":135132,"residue":82},{"from_index":2160,"to_index":310,"sum":125478,"residue":648}],"minimal_cycle":[82,648],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[310,680],"circle_positions":730,"cycle_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":[311,681,1051,1421,1791,2161],"clock_positions":[311,681,1051,1421,1791,2161],"native_values":[99,266,99,631,464,631],"rotation_degrees":50.432432432432435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[99,266,99,631,464,631],"beta":{"interval_sums":[139328,134422,143708,129312,134948,124932],"interval_residues":[628,102,628,102,628,102],"display_cycle":[628,102,628,102,628,102],"intervals":[{"from_index":311,"to_index":681,"sum":139328,"residue":628},{"from_index":681,"to_index":1051,"sum":134422,"residue":102},{"from_index":1051,"to_index":1421,"sum":143708,"residue":628},{"from_index":1421,"to_index":1791,"sum":129312,"residue":102},{"from_index":1791,"to_index":2161,"sum":134948,"residue":628},{"from_index":2161,"to_index":311,"sum":124932,"residue":102}],"minimal_cycle":[628,102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[311,681],"circle_positions":730,"cycle_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":[312,682,1052,1422,1792,2162],"clock_positions":[312,682,1052,1422,1792,2162],"native_values":[184,181,549,546,549,181],"rotation_degrees":50.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[184,181,549,546,549,181],"beta":{"interval_sums":[139410,134340,143790,129230,135030,124850],"interval_residues":[710,20,710,20,710,20],"display_cycle":[710,20,710,20,710,20],"intervals":[{"from_index":312,"to_index":682,"sum":139410,"residue":710},{"from_index":682,"to_index":1052,"sum":134340,"residue":20},{"from_index":1052,"to_index":1422,"sum":143790,"residue":710},{"from_index":1422,"to_index":1792,"sum":129230,"residue":20},{"from_index":1792,"to_index":2162,"sum":135030,"residue":710},{"from_index":2162,"to_index":312,"sum":124850,"residue":20}],"minimal_cycle":[710,20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":710,"start_interval_clock_positions":[312,682],"circle_positions":730,"cycle_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":[313,683,1053,1423,1793,2163],"clock_positions":[313,683,1053,1423,1793,2163],"native_values":[283,447,648,447,283,82],"rotation_degrees":50.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,447,648,447,283,82],"beta":{"interval_sums":[139308,134442,143688,129332,134928,124952],"interval_residues":[608,122,608,122,608,122],"display_cycle":[608,122,608,122,608,122],"intervals":[{"from_index":313,"to_index":683,"sum":139308,"residue":608},{"from_index":683,"to_index":1053,"sum":134442,"residue":122},{"from_index":1053,"to_index":1423,"sum":143688,"residue":608},{"from_index":1423,"to_index":1793,"sum":129332,"residue":122},{"from_index":1793,"to_index":2163,"sum":134928,"residue":608},{"from_index":2163,"to_index":313,"sum":124952,"residue":122}],"minimal_cycle":[608,122],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":608,"start_interval_clock_positions":[313,683],"circle_positions":730,"cycle_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":[314,684,1054,1424,1794,2164],"clock_positions":[314,684,1054,1424,1794,2164],"native_values":[467,628,467,263,102,263],"rotation_degrees":50.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[467,628,467,263,102,263],"beta":{"interval_sums":[139288,134462,143668,129352,134908,124972],"interval_residues":[588,142,588,142,588,142],"display_cycle":[588,142,588,142,588,142],"intervals":[{"from_index":314,"to_index":684,"sum":139288,"residue":588},{"from_index":684,"to_index":1054,"sum":134462,"residue":142},{"from_index":1054,"to_index":1424,"sum":143668,"residue":588},{"from_index":1424,"to_index":1794,"sum":129352,"residue":142},{"from_index":1794,"to_index":2164,"sum":134908,"residue":588},{"from_index":2164,"to_index":314,"sum":124972,"residue":142}],"minimal_cycle":[588,142],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[314,684],"circle_positions":730,"cycle_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":[315,685,1055,1425,1795,2165],"clock_positions":[315,685,1055,1425,1795,2165],"native_values":[20,345,385,710,385,345],"rotation_degrees":51.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[20,345,385,710,385,345],"beta":{"interval_sums":[139896,134584,143546,128744,134786,125094],"interval_residues":[466,264,466,264,466,264],"display_cycle":[466,264,466,264,466,264],"intervals":[{"from_index":315,"to_index":685,"sum":139896,"residue":466},{"from_index":685,"to_index":1055,"sum":134584,"residue":264},{"from_index":1055,"to_index":1425,"sum":143546,"residue":466},{"from_index":1425,"to_index":1795,"sum":128744,"residue":264},{"from_index":1795,"to_index":2165,"sum":134786,"residue":466},{"from_index":2165,"to_index":315,"sum":125094,"residue":264}],"minimal_cycle":[466,264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[315,685],"circle_positions":730,"cycle_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":[316,686,1056,1426,1796,2166],"clock_positions":[316,686,1056,1426,1796,2166],"native_values":[487,243,122,243,487,608],"rotation_degrees":51.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[487,243,122,243,487,608],"beta":{"interval_sums":[139754,134726,144134,128886,134644,124506],"interval_residues":[324,406,324,406,324,406],"display_cycle":[324,406,324,406,324,406],"intervals":[{"from_index":316,"to_index":686,"sum":139754,"residue":324},{"from_index":686,"to_index":1056,"sum":134726,"residue":406},{"from_index":1056,"to_index":1426,"sum":144134,"residue":324},{"from_index":1426,"to_index":1796,"sum":128886,"residue":406},{"from_index":1796,"to_index":2166,"sum":134644,"residue":324},{"from_index":2166,"to_index":316,"sum":124506,"residue":406}],"minimal_cycle":[324,406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[316,686],"circle_positions":730,"cycle_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":[317,687,1057,1427,1797,2167],"clock_positions":[317,687,1057,1427,1797,2167],"native_values":[507,588,507,223,142,223],"rotation_degrees":51.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[507,588,507,223,142,223],"beta":{"interval_sums":[139490,134260,143870,129150,135110,124770],"interval_residues":[60,670,60,670,60,670],"display_cycle":[60,670,60,670,60,670],"intervals":[{"from_index":317,"to_index":687,"sum":139490,"residue":60},{"from_index":687,"to_index":1057,"sum":134260,"residue":670},{"from_index":1057,"to_index":1427,"sum":143870,"residue":60},{"from_index":1427,"to_index":1797,"sum":129150,"residue":670},{"from_index":1797,"to_index":2167,"sum":135110,"residue":60},{"from_index":2167,"to_index":317,"sum":124770,"residue":670}],"minimal_cycle":[60,670],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[317,687],"circle_positions":730,"cycle_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":[318,688,1058,1428,1798,2168],"clock_positions":[318,688,1058,1428,1798,2168],"native_values":[264,101,629,466,629,101],"rotation_degrees":51.567567567567565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[264,101,629,466,629,101],"beta":{"interval_sums":[139814,134666,143464,128826,134704,125176],"interval_residues":[384,346,384,346,384,346],"display_cycle":[384,346,384,346,384,346],"intervals":[{"from_index":318,"to_index":688,"sum":139814,"residue":384},{"from_index":688,"to_index":1058,"sum":134666,"residue":346},{"from_index":1058,"to_index":1428,"sum":143464,"residue":384},{"from_index":1428,"to_index":1798,"sum":128826,"residue":346},{"from_index":1798,"to_index":2168,"sum":134704,"residue":384},{"from_index":2168,"to_index":318,"sum":125176,"residue":346}],"minimal_cycle":[384,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[318,688],"circle_positions":730,"cycle_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":[319,689,1059,1429,1799,2169],"clock_positions":[319,689,1059,1429,1799,2169],"native_values":[41,689,406,689,41,324],"rotation_degrees":51.729729729729726,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,689,406,689,41,324],"beta":{"interval_sums":[139874,134606,143524,128766,134764,125116],"interval_residues":[444,286,444,286,444,286],"display_cycle":[444,286,444,286,444,286],"intervals":[{"from_index":319,"to_index":689,"sum":139874,"residue":444},{"from_index":689,"to_index":1059,"sum":134606,"residue":286},{"from_index":1059,"to_index":1429,"sum":143524,"residue":444},{"from_index":1429,"to_index":1799,"sum":128766,"residue":286},{"from_index":1799,"to_index":2169,"sum":134764,"residue":444},{"from_index":2169,"to_index":319,"sum":125116,"residue":286}],"minimal_cycle":[444,286],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[319,689],"circle_positions":730,"cycle_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":[320,690,1060,1430,1800,2170],"clock_positions":[320,690,1060,1430,1800,2170],"native_values":[305,60,305,425,670,425],"rotation_degrees":51.891891891891895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,60,305,425,670,425],"beta":{"interval_sums":[140258,134952,143908,128382,134418,124732],"interval_residues":[98,632,98,632,98,632],"display_cycle":[98,632,98,632,98,632],"intervals":[{"from_index":320,"to_index":690,"sum":140258,"residue":98},{"from_index":690,"to_index":1060,"sum":134952,"residue":632},{"from_index":1060,"to_index":1430,"sum":143908,"residue":98},{"from_index":1430,"to_index":1800,"sum":128382,"residue":632},{"from_index":1800,"to_index":2170,"sum":134418,"residue":98},{"from_index":2170,"to_index":320,"sum":124732,"residue":632}],"minimal_cycle":[98,632],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":98,"start_interval_clock_positions":[320,690],"circle_positions":730,"cycle_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":[321,691,1061,1431,1801,2171],"clock_positions":[321,691,1061,1431,1801,2171],"native_values":[346,19,711,384,711,19],"rotation_degrees":52.054054054054056,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[346,19,711,384,711,19],"beta":{"interval_sums":[139972,135238,143622,128668,134132,125018],"interval_residues":[542,188,542,188,542,188],"display_cycle":[542,188,542,188,542,188],"intervals":[{"from_index":321,"to_index":691,"sum":139972,"residue":542},{"from_index":691,"to_index":1061,"sum":135238,"residue":188},{"from_index":1061,"to_index":1431,"sum":143622,"residue":542},{"from_index":1431,"to_index":1801,"sum":128668,"residue":188},{"from_index":1801,"to_index":2171,"sum":134132,"residue":542},{"from_index":2171,"to_index":321,"sum":125018,"residue":188}],"minimal_cycle":[542,188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[321,691],"circle_positions":730,"cycle_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":[322,692,1062,1432,1802,2172],"clock_positions":[322,692,1062,1432,1802,2172],"native_values":[651,79,286,79,651,444],"rotation_degrees":52.21621621621622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[651,79,286,79,651,444],"beta":{"interval_sums":[139340,135870,143720,129300,133500,124920],"interval_residues":[640,90,640,90,640,90],"display_cycle":[640,90,640,90,640,90],"intervals":[{"from_index":322,"to_index":692,"sum":139340,"residue":640},{"from_index":692,"to_index":1062,"sum":135870,"residue":90},{"from_index":1062,"to_index":1432,"sum":143720,"residue":640},{"from_index":1432,"to_index":1802,"sum":129300,"residue":90},{"from_index":1802,"to_index":2172,"sum":133500,"residue":640},{"from_index":2172,"to_index":322,"sum":124920,"residue":90}],"minimal_cycle":[640,90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":640,"start_interval_clock_positions":[322,692],"circle_positions":730,"cycle_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":[323,693,1063,1433,1803,2173],"clock_positions":[323,693,1063,1433,1803,2173],"native_values":[267,98,267,463,632,463],"rotation_degrees":52.37837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[267,98,267,463,632,463],"beta":{"interval_sums":[139152,136058,143532,129488,133312,125108],"interval_residues":[452,278,452,278,452,278],"display_cycle":[452,278,452,278,452,278],"intervals":[{"from_index":323,"to_index":693,"sum":139152,"residue":452},{"from_index":693,"to_index":1063,"sum":136058,"residue":278},{"from_index":1063,"to_index":1433,"sum":143532,"residue":452},{"from_index":1433,"to_index":1803,"sum":129488,"residue":278},{"from_index":1803,"to_index":2173,"sum":133312,"residue":452},{"from_index":2173,"to_index":323,"sum":125108,"residue":278}],"minimal_cycle":[452,278],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[323,693],"circle_positions":730,"cycle_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":[324,694,1064,1434,1804,2174],"clock_positions":[324,694,1064,1434,1804,2174],"native_values":[188,177,553,542,553,177],"rotation_degrees":52.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[188,177,553,542,553,177],"beta":{"interval_sums":[139062,136148,143442,129578,133222,125198],"interval_residues":[362,368,362,368,362,368],"display_cycle":[362,368,362,368,362,368],"intervals":[{"from_index":324,"to_index":694,"sum":139062,"residue":362},{"from_index":694,"to_index":1064,"sum":136148,"residue":368},{"from_index":1064,"to_index":1434,"sum":143442,"residue":362},{"from_index":1434,"to_index":1804,"sum":129578,"residue":368},{"from_index":1804,"to_index":2174,"sum":133222,"residue":362},{"from_index":2174,"to_index":324,"sum":125198,"residue":368}],"minimal_cycle":[362,368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[324,694],"circle_positions":730,"cycle_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":[325,695,1065,1435,1805,2175],"clock_positions":[325,695,1065,1435,1805,2175],"native_values":[455,275,90,275,455,640],"rotation_degrees":52.7027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[455,275,90,275,455,640],"beta":{"interval_sums":[138784,136426,143894,129856,132944,124746],"interval_residues":[84,646,84,646,84,646],"display_cycle":[84,646,84,646,84,646],"intervals":[{"from_index":325,"to_index":695,"sum":138784,"residue":84},{"from_index":695,"to_index":1065,"sum":136426,"residue":646},{"from_index":1065,"to_index":1435,"sum":143894,"residue":84},{"from_index":1435,"to_index":1805,"sum":129856,"residue":646},{"from_index":1805,"to_index":2175,"sum":132944,"residue":84},{"from_index":2175,"to_index":325,"sum":124746,"residue":646}],"minimal_cycle":[84,646],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[325,695],"circle_positions":730,"cycle_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":[326,696,1066,1436,1806,2176],"clock_positions":[326,696,1066,1436,1806,2176],"native_values":[643,452,643,87,278,87],"rotation_degrees":52.86486486486486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[643,452,643,87,278,87],"beta":{"interval_sums":[138416,136064,143526,130224,133306,125114],"interval_residues":[446,284,446,284,446,284],"display_cycle":[446,284,446,284,446,284],"intervals":[{"from_index":326,"to_index":696,"sum":138416,"residue":446},{"from_index":696,"to_index":1066,"sum":136064,"residue":284},{"from_index":1066,"to_index":1436,"sum":143526,"residue":446},{"from_index":1436,"to_index":1806,"sum":130224,"residue":284},{"from_index":1806,"to_index":2176,"sum":133306,"residue":446},{"from_index":2176,"to_index":326,"sum":125114,"residue":284}],"minimal_cycle":[446,284],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[326,696],"circle_positions":730,"cycle_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":[327,697,1067,1437,1807,2177],"clock_positions":[327,697,1067,1437,1807,2177],"native_values":[368,727,3,362,3,727],"rotation_degrees":53.027027027027025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[368,727,3,362,3,727],"beta":{"interval_sums":[138500,135980,143610,130140,133390,125030],"interval_residues":[530,200,530,200,530,200],"display_cycle":[530,200,530,200,530,200],"intervals":[{"from_index":327,"to_index":697,"sum":138500,"residue":530},{"from_index":697,"to_index":1067,"sum":135980,"residue":200},{"from_index":1067,"to_index":1437,"sum":143610,"residue":530},{"from_index":1437,"to_index":1807,"sum":130140,"residue":200},{"from_index":1807,"to_index":2177,"sum":133390,"residue":530},{"from_index":2177,"to_index":327,"sum":125030,"residue":200}],"minimal_cycle":[530,200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[327,697],"circle_positions":730,"cycle_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":[328,698,1068,1438,1808,2178],"clock_positions":[328,698,1068,1438,1808,2178],"native_values":[281,449,646,449,281,84],"rotation_degrees":53.189189189189186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[281,449,646,449,281,84],"beta":{"interval_sums":[138946,135534,143326,129694,133836,125314],"interval_residues":[246,484,246,484,246,484],"display_cycle":[246,484,246,484,246,484],"intervals":[{"from_index":328,"to_index":698,"sum":138946,"residue":246},{"from_index":698,"to_index":1068,"sum":135534,"residue":484},{"from_index":1068,"to_index":1438,"sum":143326,"residue":246},{"from_index":1438,"to_index":1808,"sum":129694,"residue":484},{"from_index":1808,"to_index":2178,"sum":133836,"residue":246},{"from_index":2178,"to_index":328,"sum":125314,"residue":484}],"minimal_cycle":[246,484],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":246,"start_interval_clock_positions":[328,698],"circle_positions":730,"cycle_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":[329,699,1069,1439,1809,2179],"clock_positions":[329,699,1069,1439,1809,2179],"native_values":[649,446,649,81,284,81],"rotation_degrees":53.351351351351354,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[649,446,649,81,284,81],"beta":{"interval_sums":[138746,135734,143126,129894,133636,125514],"interval_residues":[46,684,46,684,46,684],"display_cycle":[46,684,46,684,46,684],"intervals":[{"from_index":329,"to_index":699,"sum":138746,"residue":46},{"from_index":699,"to_index":1069,"sum":135734,"residue":684},{"from_index":1069,"to_index":1439,"sum":143126,"residue":46},{"from_index":1439,"to_index":1809,"sum":129894,"residue":684},{"from_index":1809,"to_index":2179,"sum":133636,"residue":46},{"from_index":2179,"to_index":329,"sum":125514,"residue":684}],"minimal_cycle":[46,684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[329,699],"circle_positions":730,"cycle_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":[330,700,1070,1440,1810,2180],"clock_positions":[330,700,1070,1440,1810,2180],"native_values":[200,165,565,530,565,165],"rotation_degrees":53.513513513513516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,165,565,530,565,165],"beta":{"interval_sums":[138992,136218,142642,129648,133152,125998],"interval_residues":[292,438,292,438,292,438],"display_cycle":[292,438,292,438,292,438],"intervals":[{"from_index":330,"to_index":700,"sum":138992,"residue":292},{"from_index":700,"to_index":1070,"sum":136218,"residue":438},{"from_index":1070,"to_index":1440,"sum":142642,"residue":292},{"from_index":1440,"to_index":1810,"sum":129648,"residue":438},{"from_index":1810,"to_index":2180,"sum":133152,"residue":292},{"from_index":2180,"to_index":330,"sum":125998,"residue":438}],"minimal_cycle":[292,438],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[330,700],"circle_positions":730,"cycle_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":[331,701,1071,1441,1811,2181],"clock_positions":[331,701,1071,1441,1811,2181],"native_values":[119,611,484,611,119,246],"rotation_degrees":53.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,611,484,611,119,246],"beta":{"interval_sums":[139038,136172,142688,129602,133198,125952],"interval_residues":[338,392,338,392,338,392],"display_cycle":[338,392,338,392,338,392],"intervals":[{"from_index":331,"to_index":701,"sum":139038,"residue":338},{"from_index":701,"to_index":1071,"sum":136172,"residue":392},{"from_index":1071,"to_index":1441,"sum":142688,"residue":338},{"from_index":1441,"to_index":1811,"sum":129602,"residue":392},{"from_index":1811,"to_index":2181,"sum":133198,"residue":338},{"from_index":2181,"to_index":331,"sum":125952,"residue":392}],"minimal_cycle":[338,392],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[331,701],"circle_positions":730,"cycle_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":[332,702,1072,1442,1812,2182],"clock_positions":[332,702,1072,1442,1812,2182],"native_values":[319,46,319,411,684,411],"rotation_degrees":53.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[319,46,319,411,684,411],"beta":{"interval_sums":[139330,136610,142980,129310,132760,125660],"interval_residues":[630,100,630,100,630,100],"display_cycle":[630,100,630,100,630,100],"intervals":[{"from_index":332,"to_index":702,"sum":139330,"residue":630},{"from_index":702,"to_index":1072,"sum":136610,"residue":100},{"from_index":1072,"to_index":1442,"sum":142980,"residue":630},{"from_index":1442,"to_index":1812,"sum":129310,"residue":100},{"from_index":1812,"to_index":2182,"sum":132760,"residue":630},{"from_index":2182,"to_index":332,"sum":125660,"residue":100}],"minimal_cycle":[630,100],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":630,"start_interval_clock_positions":[332,702],"circle_positions":730,"cycle_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":[333,703,1073,1443,1813,2183],"clock_positions":[333,703,1073,1443,1813,2183],"native_values":[438,657,73,292,73,657],"rotation_degrees":54.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[438,657,73,292,73,657],"beta":{"interval_sums":[138938,136272,143318,129702,133098,125322],"interval_residues":[238,492,238,492,238,492],"display_cycle":[238,492,238,492,238,492],"intervals":[{"from_index":333,"to_index":703,"sum":138938,"residue":238},{"from_index":703,"to_index":1073,"sum":136272,"residue":492},{"from_index":1073,"to_index":1443,"sum":143318,"residue":238},{"from_index":1443,"to_index":1813,"sum":129702,"residue":492},{"from_index":1813,"to_index":2183,"sum":133098,"residue":238},{"from_index":2183,"to_index":333,"sum":125322,"residue":492}],"minimal_cycle":[238,492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":238,"start_interval_clock_positions":[333,703],"circle_positions":730,"cycle_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":[334,704,1074,1444,1814,2184],"clock_positions":[334,704,1074,1444,1814,2184],"native_values":[27,703,392,703,27,338],"rotation_degrees":54.16216216216216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,703,392,703,27,338],"beta":{"interval_sums":[139568,135642,143218,129072,133728,125422],"interval_residues":[138,592,138,592,138,592],"display_cycle":[138,592,138,592,138,592],"intervals":[{"from_index":334,"to_index":704,"sum":139568,"residue":138},{"from_index":704,"to_index":1074,"sum":135642,"residue":592},{"from_index":1074,"to_index":1444,"sum":143218,"residue":138},{"from_index":1444,"to_index":1814,"sum":129072,"residue":592},{"from_index":1814,"to_index":2184,"sum":133728,"residue":138},{"from_index":2184,"to_index":334,"sum":125422,"residue":592}],"minimal_cycle":[138,592],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[334,704],"circle_positions":730,"cycle_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":[335,705,1075,1445,1815,2185],"clock_positions":[335,705,1075,1445,1815,2185],"native_values":[465,630,465,265,100,265],"rotation_degrees":54.32432432432432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[465,630,465,265,100,265],"beta":{"interval_sums":[139806,135404,143456,128834,133966,125184],"interval_residues":[376,354,376,354,376,354],"display_cycle":[376,354,376,354,376,354],"intervals":[{"from_index":335,"to_index":705,"sum":139806,"residue":376},{"from_index":705,"to_index":1075,"sum":135404,"residue":354},{"from_index":1075,"to_index":1445,"sum":143456,"residue":376},{"from_index":1445,"to_index":1815,"sum":128834,"residue":354},{"from_index":1815,"to_index":2185,"sum":133966,"residue":376},{"from_index":2185,"to_index":335,"sum":125184,"residue":354}],"minimal_cycle":[376,354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":376,"start_interval_clock_positions":[335,705],"circle_positions":730,"cycle_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":[336,706,1076,1446,1816,2186],"clock_positions":[336,706,1076,1446,1816,2186],"native_values":[492,603,127,238,127,603],"rotation_degrees":54.486486486486484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,603,127,238,127,603],"beta":{"interval_sums":[139944,135266,143594,128696,134104,125046],"interval_residues":[514,216,514,216,514,216],"display_cycle":[514,216,514,216,514,216],"intervals":[{"from_index":336,"to_index":706,"sum":139944,"residue":514},{"from_index":706,"to_index":1076,"sum":135266,"residue":216},{"from_index":1076,"to_index":1446,"sum":143594,"residue":514},{"from_index":1446,"to_index":1816,"sum":128696,"residue":216},{"from_index":1816,"to_index":2186,"sum":134104,"residue":514},{"from_index":2186,"to_index":336,"sum":125046,"residue":216}],"minimal_cycle":[514,216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":514,"start_interval_clock_positions":[336,706],"circle_positions":730,"cycle_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":[337,707,1077,1447,1817,2187],"clock_positions":[337,707,1077,1447,1817,2187],"native_values":[227,503,592,503,227,138],"rotation_degrees":54.648648648648646,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,503,592,503,227,138],"beta":{"interval_sums":[140320,134890,143240,128320,134480,125400],"interval_residues":[160,570,160,570,160,570],"display_cycle":[160,570,160,570,160,570],"intervals":[{"from_index":337,"to_index":707,"sum":140320,"residue":160},{"from_index":707,"to_index":1077,"sum":134890,"residue":570},{"from_index":1077,"to_index":1447,"sum":143240,"residue":160},{"from_index":1447,"to_index":1817,"sum":128320,"residue":570},{"from_index":1817,"to_index":2187,"sum":134480,"residue":160},{"from_index":2187,"to_index":337,"sum":125400,"residue":570}],"minimal_cycle":[160,570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":160,"start_interval_clock_positions":[337,707],"circle_positions":730,"cycle_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":[338,708,1078,1448,1818,2188],"clock_positions":[338,708,1078,1448,1818,2188],"native_values":[719,376,719,11,354,11],"rotation_degrees":54.810810810810814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[719,376,719,11,354,11],"beta":{"interval_sums":[140104,135106,143024,128536,134264,125616],"interval_residues":[674,56,674,56,674,56],"display_cycle":[674,56,674,56,674,56],"intervals":[{"from_index":338,"to_index":708,"sum":140104,"residue":674},{"from_index":708,"to_index":1078,"sum":135106,"residue":56},{"from_index":1078,"to_index":1448,"sum":143024,"residue":674},{"from_index":1448,"to_index":1818,"sum":128536,"residue":56},{"from_index":1818,"to_index":2188,"sum":134264,"residue":674},{"from_index":2188,"to_index":338,"sum":125616,"residue":56}],"minimal_cycle":[674,56],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":674,"start_interval_clock_positions":[338,708],"circle_positions":730,"cycle_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":[339,709,1079,1449,1819,2189],"clock_positions":[339,709,1079,1449,1819,2189],"native_values":[216,149,581,514,581,149],"rotation_degrees":54.972972972972975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[216,149,581,514,581,149],"beta":{"interval_sums":[140264,135676,142454,128376,133694,126186],"interval_residues":[104,626,104,626,104,626],"display_cycle":[104,626,104,626,104,626],"intervals":[{"from_index":339,"to_index":709,"sum":140264,"residue":104},{"from_index":709,"to_index":1079,"sum":135676,"residue":626},{"from_index":1079,"to_index":1449,"sum":142454,"residue":104},{"from_index":1449,"to_index":1819,"sum":128376,"residue":626},{"from_index":1819,"to_index":2189,"sum":133694,"residue":104},{"from_index":2189,"to_index":339,"sum":126186,"residue":626}],"minimal_cycle":[104,626],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":104,"start_interval_clock_positions":[339,709],"circle_positions":730,"cycle_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":[340,710,1080,1450,1820,2190],"clock_positions":[340,710,1080,1450,1820,2190],"native_values":[205,525,570,525,205,160],"rotation_degrees":55.13513513513514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,525,570,525,205,160],"beta":{"interval_sums":[140208,135732,142398,128432,133638,126242],"interval_residues":[48,682,48,682,48,682],"display_cycle":[48,682,48,682,48,682],"intervals":[{"from_index":340,"to_index":710,"sum":140208,"residue":48},{"from_index":710,"to_index":1080,"sum":135732,"residue":682},{"from_index":1080,"to_index":1450,"sum":142398,"residue":48},{"from_index":1450,"to_index":1820,"sum":128432,"residue":682},{"from_index":1820,"to_index":2190,"sum":133638,"residue":48},{"from_index":2190,"to_index":340,"sum":126242,"residue":682}],"minimal_cycle":[48,682],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":48,"start_interval_clock_positions":[340,710],"circle_positions":730,"cycle_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":[341,711,1081,1451,1821,2191],"clock_positions":[341,711,1081,1451,1821,2191],"native_values":[421,674,421,309,56,309],"rotation_degrees":55.2972972972973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[421,674,421,309,56,309],"beta":{"interval_sums":[140312,135628,142502,128328,133742,126138],"interval_residues":[152,578,152,578,152,578],"display_cycle":[152,578,152,578,152,578],"intervals":[{"from_index":341,"to_index":711,"sum":140312,"residue":152},{"from_index":711,"to_index":1081,"sum":135628,"residue":578},{"from_index":1081,"to_index":1451,"sum":142502,"residue":152},{"from_index":1451,"to_index":1821,"sum":128328,"residue":578},{"from_index":1821,"to_index":2191,"sum":133742,"residue":152},{"from_index":2191,"to_index":341,"sum":126138,"residue":578}],"minimal_cycle":[152,578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":152,"start_interval_clock_positions":[341,711],"circle_positions":730,"cycle_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":[342,712,1082,1452,1822,2192],"clock_positions":[342,712,1082,1452,1822,2192],"native_values":[626,469,261,104,261,469],"rotation_degrees":55.45945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[626,469,261,104,261,469],"beta":{"interval_sums":[140360,135580,142550,128280,133790,126090],"interval_residues":[200,530,200,530,200,530],"display_cycle":[200,530,200,530,200,530],"intervals":[{"from_index":342,"to_index":712,"sum":140360,"residue":200},{"from_index":712,"to_index":1082,"sum":135580,"residue":530},{"from_index":1082,"to_index":1452,"sum":142550,"residue":200},{"from_index":1452,"to_index":1822,"sum":128280,"residue":530},{"from_index":1822,"to_index":2192,"sum":133790,"residue":200},{"from_index":2192,"to_index":342,"sum":126090,"residue":530}],"minimal_cycle":[200,530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[342,712],"circle_positions":730,"cycle_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":[343,713,1083,1453,1823,2193],"clock_positions":[343,713,1083,1453,1823,2193],"native_values":[317,413,682,413,317,48],"rotation_degrees":55.62162162162162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,413,682,413,317,48],"beta":{"interval_sums":[140512,135428,141972,128128,133942,126668],"interval_residues":[352,378,352,378,352,378],"display_cycle":[352,378,352,378,352,378],"intervals":[{"from_index":343,"to_index":713,"sum":140512,"residue":352},{"from_index":713,"to_index":1083,"sum":135428,"residue":378},{"from_index":1083,"to_index":1453,"sum":141972,"residue":352},{"from_index":1453,"to_index":1823,"sum":128128,"residue":378},{"from_index":1823,"to_index":2193,"sum":133942,"residue":352},{"from_index":2193,"to_index":343,"sum":126668,"residue":378}],"minimal_cycle":[352,378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[343,713],"circle_positions":730,"cycle_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":[344,714,1084,1454,1824,2194],"clock_positions":[344,714,1084,1454,1824,2194],"native_values":[213,152,213,517,578,517],"rotation_degrees":55.78378378378378,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,152,213,517,578,517],"beta":{"interval_sums":[140712,135958,142172,127928,133412,126468],"interval_residues":[552,178,552,178,552,178],"display_cycle":[552,178,552,178,552,178],"intervals":[{"from_index":344,"to_index":714,"sum":140712,"residue":552},{"from_index":714,"to_index":1084,"sum":135958,"residue":178},{"from_index":1084,"to_index":1454,"sum":142172,"residue":552},{"from_index":1454,"to_index":1824,"sum":127928,"residue":178},{"from_index":1824,"to_index":2194,"sum":133412,"residue":552},{"from_index":2194,"to_index":344,"sum":126468,"residue":178}],"minimal_cycle":[552,178],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[344,714],"circle_positions":730,"cycle_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":[345,715,1085,1455,1825,2195],"clock_positions":[345,715,1085,1455,1825,2195],"native_values":[530,565,165,200,165,565],"rotation_degrees":55.945945945945944,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[530,565,165,200,165,565],"beta":{"interval_sums":[140334,135606,142524,128306,133764,126116],"interval_residues":[174,556,174,556,174,556],"display_cycle":[174,556,174,556,174,556],"intervals":[{"from_index":345,"to_index":715,"sum":140334,"residue":174},{"from_index":715,"to_index":1085,"sum":135606,"residue":556},{"from_index":1085,"to_index":1455,"sum":142524,"residue":174},{"from_index":1455,"to_index":1825,"sum":128306,"residue":556},{"from_index":1825,"to_index":2195,"sum":133764,"residue":174},{"from_index":2195,"to_index":345,"sum":126116,"residue":556}],"minimal_cycle":[174,556],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[345,715],"circle_positions":730,"cycle_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":[346,716,1086,1456,1826,2196],"clock_positions":[346,716,1086,1456,1826,2196],"native_values":[13,717,378,717,13,352],"rotation_degrees":56.108108108108105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,717,378,717,13,352],"beta":{"interval_sums":[140886,135054,142346,127754,134316,126294],"interval_residues":[726,4,726,4,726,4],"display_cycle":[726,4,726,4,726,4],"intervals":[{"from_index":346,"to_index":716,"sum":140886,"residue":726},{"from_index":716,"to_index":1086,"sum":135054,"residue":4},{"from_index":1086,"to_index":1456,"sum":142346,"residue":726},{"from_index":1456,"to_index":1826,"sum":127754,"residue":4},{"from_index":1826,"to_index":2196,"sum":134316,"residue":726},{"from_index":2196,"to_index":346,"sum":126294,"residue":4}],"minimal_cycle":[726,4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":726,"start_interval_clock_positions":[346,716],"circle_positions":730,"cycle_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":[347,717,1087,1457,1827,2197],"clock_positions":[347,717,1087,1457,1827,2197],"native_values":[543,552,543,187,178,187],"rotation_degrees":56.270270270270274,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[543,552,543,187,178,187],"beta":{"interval_sums":[141060,134880,142520,127580,134490,126120],"interval_residues":[170,560,170,560,170,560],"display_cycle":[170,560,170,560,170,560],"intervals":[{"from_index":347,"to_index":717,"sum":141060,"residue":170},{"from_index":717,"to_index":1087,"sum":134880,"residue":560},{"from_index":1087,"to_index":1457,"sum":142520,"residue":170},{"from_index":1457,"to_index":1827,"sum":127580,"residue":560},{"from_index":1827,"to_index":2197,"sum":134490,"residue":170},{"from_index":2197,"to_index":347,"sum":126120,"residue":560}],"minimal_cycle":[170,560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[347,717],"circle_positions":730,"cycle_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":[348,718,1088,1458,1828,2198],"clock_positions":[348,718,1088,1458,1828,2198],"native_values":[556,539,191,174,191,539],"rotation_degrees":56.432432432432435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[556,539,191,174,191,539],"beta":{"interval_sums":[141056,134884,142516,127584,134486,126124],"interval_residues":[166,564,166,564,166,564],"display_cycle":[166,564,166,564,166,564],"intervals":[{"from_index":348,"to_index":718,"sum":141056,"residue":166},{"from_index":718,"to_index":1088,"sum":134884,"residue":564},{"from_index":1088,"to_index":1458,"sum":142516,"residue":166},{"from_index":1458,"to_index":1828,"sum":127584,"residue":564},{"from_index":1828,"to_index":2198,"sum":134486,"residue":166},{"from_index":2198,"to_index":348,"sum":126124,"residue":564}],"minimal_cycle":[166,564],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":166,"start_interval_clock_positions":[348,718],"circle_positions":730,"cycle_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":[349,719,1089,1459,1829,2199],"clock_positions":[349,719,1089,1459,1829,2199],"native_values":[369,361,4,361,369,726],"rotation_degrees":56.5945945945946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[369,361,4,361,369,726],"beta":{"interval_sums":[141226,134714,142686,127414,134656,125954],"interval_residues":[336,394,336,394,336,394],"display_cycle":[336,394,336,394,336,394],"intervals":[{"from_index":349,"to_index":719,"sum":141226,"residue":336},{"from_index":719,"to_index":1089,"sum":134714,"residue":394},{"from_index":1089,"to_index":1459,"sum":142686,"residue":336},{"from_index":1459,"to_index":1829,"sum":127414,"residue":394},{"from_index":1829,"to_index":2199,"sum":134656,"residue":336},{"from_index":2199,"to_index":349,"sum":125954,"residue":394}],"minimal_cycle":[336,394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[349,719],"circle_positions":730,"cycle_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":[350,720,1090,1460,1830,2200],"clock_positions":[350,720,1090,1460,1830,2200],"native_values":[195,170,195,535,560,535],"rotation_degrees":56.75675675675676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,170,195,535,560,535],"beta":{"interval_sums":[141392,134548,142852,127248,134822,125788],"interval_residues":[502,228,502,228,502,228],"display_cycle":[502,228,502,228,502,228],"intervals":[{"from_index":350,"to_index":720,"sum":141392,"residue":502},{"from_index":720,"to_index":1090,"sum":134548,"residue":228},{"from_index":1090,"to_index":1460,"sum":142852,"residue":502},{"from_index":1460,"to_index":1830,"sum":127248,"residue":228},{"from_index":1830,"to_index":2200,"sum":134822,"residue":502},{"from_index":2200,"to_index":350,"sum":125788,"residue":228}],"minimal_cycle":[502,228],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[350,720],"circle_positions":730,"cycle_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":[351,721,1091,1461,1831,2201],"clock_positions":[351,721,1091,1461,1831,2201],"native_values":[564,531,199,166,199,531],"rotation_degrees":56.91891891891892,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[564,531,199,166,199,531],"beta":{"interval_sums":[140998,134212,143188,127642,135158,125452],"interval_residues":[108,622,108,622,108,622],"display_cycle":[108,622,108,622,108,622],"intervals":[{"from_index":351,"to_index":721,"sum":140998,"residue":108},{"from_index":721,"to_index":1091,"sum":134212,"residue":622},{"from_index":1091,"to_index":1461,"sum":143188,"residue":108},{"from_index":1461,"to_index":1831,"sum":127642,"residue":622},{"from_index":1831,"to_index":2201,"sum":135158,"residue":108},{"from_index":2201,"to_index":351,"sum":125452,"residue":622}],"minimal_cycle":[108,622],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":108,"start_interval_clock_positions":[351,721],"circle_positions":730,"cycle_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":[352,722,1092,1462,1832,2202],"clock_positions":[352,722,1092,1462,1832,2202],"native_values":[29,701,394,701,29,336],"rotation_degrees":57.08108108108108,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,701,394,701,29,336],"beta":{"interval_sums":[141500,133710,142960,127140,135660,125680],"interval_residues":[610,120,610,120,610,120],"display_cycle":[610,120,610,120,610,120],"intervals":[{"from_index":352,"to_index":722,"sum":141500,"residue":610},{"from_index":722,"to_index":1092,"sum":133710,"residue":120},{"from_index":1092,"to_index":1462,"sum":142960,"residue":610},{"from_index":1462,"to_index":1832,"sum":127140,"residue":120},{"from_index":1832,"to_index":2202,"sum":135660,"residue":610},{"from_index":2202,"to_index":352,"sum":125680,"residue":120}],"minimal_cycle":[610,120],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[352,722],"circle_positions":730,"cycle_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":[353,723,1093,1463,1833,2203],"clock_positions":[353,723,1093,1463,1833,2203],"native_values":[593,502,593,137,228,137],"rotation_degrees":57.24324324324324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[593,502,593,137,228,137],"beta":{"interval_sums":[141608,133602,143068,127032,135768,125572],"interval_residues":[718,12,718,12,718,12],"display_cycle":[718,12,718,12,718,12],"intervals":[{"from_index":353,"to_index":723,"sum":141608,"residue":718},{"from_index":723,"to_index":1093,"sum":133602,"residue":12},{"from_index":1093,"to_index":1463,"sum":143068,"residue":718},{"from_index":1463,"to_index":1833,"sum":127032,"residue":12},{"from_index":1833,"to_index":2203,"sum":135768,"residue":718},{"from_index":2203,"to_index":353,"sum":125572,"residue":12}],"minimal_cycle":[718,12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":718,"start_interval_clock_positions":[353,723],"circle_positions":730,"cycle_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":[354,724,1094,1464,1834,2204],"clock_positions":[354,724,1094,1464,1834,2204],"native_values":[622,473,257,108,257,473],"rotation_degrees":57.4054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[622,473,257,108,257,473],"beta":{"interval_sums":[141488,133722,142948,127152,135648,125692],"interval_residues":[598,132,598,132,598,132],"display_cycle":[598,132,598,132,598,132],"intervals":[{"from_index":354,"to_index":724,"sum":141488,"residue":598},{"from_index":724,"to_index":1094,"sum":133722,"residue":132},{"from_index":1094,"to_index":1464,"sum":142948,"residue":598},{"from_index":1464,"to_index":1834,"sum":127152,"residue":132},{"from_index":1834,"to_index":2204,"sum":135648,"residue":598},{"from_index":2204,"to_index":354,"sum":125692,"residue":132}],"minimal_cycle":[598,132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":598,"start_interval_clock_positions":[354,724],"circle_positions":730,"cycle_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":[355,725,1095,1465,1835,2205],"clock_positions":[355,725,1095,1465,1835,2205],"native_values":[485,245,120,245,485,610],"rotation_degrees":57.567567567567565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,245,120,245,485,610],"beta":{"interval_sums":[141476,133734,142936,127164,135636,125704],"interval_residues":[586,144,586,144,586,144],"display_cycle":[586,144,586,144,586,144],"intervals":[{"from_index":355,"to_index":725,"sum":141476,"residue":586},{"from_index":725,"to_index":1095,"sum":133734,"residue":144},{"from_index":1095,"to_index":1465,"sum":142936,"residue":586},{"from_index":1465,"to_index":1835,"sum":127164,"residue":144},{"from_index":1835,"to_index":2205,"sum":135636,"residue":586},{"from_index":2205,"to_index":355,"sum":125704,"residue":144}],"minimal_cycle":[586,144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[355,725],"circle_positions":730,"cycle_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":[356,726,1096,1466,1836,2206],"clock_positions":[356,726,1096,1466,1836,2206],"native_values":[377,718,377,353,12,353],"rotation_degrees":57.729729729729726,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,718,377,353,12,353],"beta":{"interval_sums":[141344,133136,142804,127296,136234,125836],"interval_residues":[454,276,454,276,454,276],"display_cycle":[454,276,454,276,454,276],"intervals":[{"from_index":356,"to_index":726,"sum":141344,"residue":454},{"from_index":726,"to_index":1096,"sum":133136,"residue":276},{"from_index":1096,"to_index":1466,"sum":142804,"residue":454},{"from_index":1466,"to_index":1836,"sum":127296,"residue":276},{"from_index":1836,"to_index":2206,"sum":136234,"residue":454},{"from_index":2206,"to_index":356,"sum":125836,"residue":276}],"minimal_cycle":[454,276],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":454,"start_interval_clock_positions":[356,726],"circle_positions":730,"cycle_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":[357,727,1097,1467,1837,2207],"clock_positions":[357,727,1097,1467,1837,2207],"native_values":[132,233,497,598,497,233],"rotation_degrees":57.891891891891895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,233,497,598,497,233],"beta":{"interval_sums":[141930,133280,142660,126710,136090,125980],"interval_residues":[310,420,310,420,310,420],"display_cycle":[310,420,310,420,310,420],"intervals":[{"from_index":357,"to_index":727,"sum":141930,"residue":310},{"from_index":727,"to_index":1097,"sum":133280,"residue":420},{"from_index":1097,"to_index":1467,"sum":142660,"residue":310},{"from_index":1467,"to_index":1837,"sum":126710,"residue":420},{"from_index":1837,"to_index":2207,"sum":136090,"residue":310},{"from_index":2207,"to_index":357,"sum":125980,"residue":420}],"minimal_cycle":[310,420],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":310,"start_interval_clock_positions":[357,727],"circle_positions":730,"cycle_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":[358,728,1098,1468,1838,2208],"clock_positions":[358,728,1098,1468,1838,2208],"native_values":[509,221,144,221,509,586],"rotation_degrees":58.054054054054056,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[509,221,144,221,509,586],"beta":{"interval_sums":[141654,133556,143114,126986,135814,125526],"interval_residues":[34,696,34,696,34,696],"display_cycle":[34,696,34,696,34,696],"intervals":[{"from_index":358,"to_index":728,"sum":141654,"residue":34},{"from_index":728,"to_index":1098,"sum":133556,"residue":696},{"from_index":1098,"to_index":1468,"sum":143114,"residue":34},{"from_index":1468,"to_index":1838,"sum":126986,"residue":696},{"from_index":1838,"to_index":2208,"sum":135814,"residue":34},{"from_index":2208,"to_index":358,"sum":125526,"residue":696}],"minimal_cycle":[34,696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[358,728],"circle_positions":730,"cycle_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":[359,729,1099,1469,1839,2209],"clock_positions":[359,729,1099,1469,1839,2209],"native_values":[641,454,641,89,276,89],"rotation_degrees":58.21621621621622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,454,641,89,276,89],"beta":{"interval_sums":[141234,133246,142694,127406,136124,125946],"interval_residues":[344,386,344,386,344,386],"display_cycle":[344,386,344,386,344,386],"intervals":[{"from_index":359,"to_index":729,"sum":141234,"residue":344},{"from_index":729,"to_index":1099,"sum":133246,"residue":386},{"from_index":1099,"to_index":1469,"sum":142694,"residue":344},{"from_index":1469,"to_index":1839,"sum":127406,"residue":386},{"from_index":1839,"to_index":2209,"sum":136124,"residue":344},{"from_index":2209,"to_index":359,"sum":125946,"residue":386}],"minimal_cycle":[344,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":344,"start_interval_clock_positions":[359,729],"circle_positions":730,"cycle_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":[360,730,1100,1470,1840,2210],"clock_positions":[360,730,1100,1470,1840,2210],"native_values":[420,675,55,310,55,675],"rotation_degrees":58.37837837837838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[420,675,55,310,55,675],"beta":{"interval_sums":[141268,133212,142728,127372,136158,125912],"interval_residues":[378,352,378,352,378,352],"display_cycle":[378,352,378,352,378,352],"intervals":[{"from_index":360,"to_index":730,"sum":141268,"residue":378},{"from_index":730,"to_index":1100,"sum":133212,"residue":352},{"from_index":1100,"to_index":1470,"sum":142728,"residue":378},{"from_index":1470,"to_index":1840,"sum":127372,"residue":352},{"from_index":1840,"to_index":2210,"sum":136158,"residue":378},{"from_index":2210,"to_index":360,"sum":125912,"residue":352}],"minimal_cycle":[378,352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[360,730],"circle_positions":730,"cycle_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":[361,731,1101,1471,1841,2211],"clock_positions":[361,731,1101,1471,1841,2211],"native_values":[331,399,696,399,331,34],"rotation_degrees":58.54054054054054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,399,696,399,331,34],"beta":{"interval_sums":[141612,132868,142342,127028,136502,126298],"interval_residues":[722,8,722,8,722,8],"display_cycle":[722,8,722,8,722,8],"intervals":[{"from_index":361,"to_index":731,"sum":141612,"residue":722},{"from_index":731,"to_index":1101,"sum":132868,"residue":8},{"from_index":1101,"to_index":1471,"sum":142342,"residue":722},{"from_index":1471,"to_index":1841,"sum":127028,"residue":8},{"from_index":1841,"to_index":2211,"sum":136502,"residue":722},{"from_index":2211,"to_index":361,"sum":126298,"residue":8}],"minimal_cycle":[722,8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":722,"start_interval_clock_positions":[361,731],"circle_positions":730,"cycle_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":[362,732,1102,1472,1842,2212],"clock_positions":[362,732,1102,1472,1842,2212],"native_values":[21,344,21,709,386,709],"rotation_degrees":58.7027027027027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,344,21,709,386,709],"beta":{"interval_sums":[141990,133220,142720,126650,136150,125920],"interval_residues":[370,360,370,360,370,360],"display_cycle":[370,360,370,360,370,360],"intervals":[{"from_index":362,"to_index":732,"sum":141990,"residue":370},{"from_index":732,"to_index":1102,"sum":133220,"residue":360},{"from_index":1102,"to_index":1472,"sum":142720,"residue":370},{"from_index":1472,"to_index":1842,"sum":126650,"residue":360},{"from_index":1842,"to_index":2212,"sum":136150,"residue":370},{"from_index":2212,"to_index":362,"sum":125920,"residue":360}],"minimal_cycle":[370,360],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[362,732],"circle_positions":730,"cycle_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":[363,733,1103,1473,1843,2213],"clock_positions":[363,733,1103,1473,1843,2213],"native_values":[352,13,717,378,717,13],"rotation_degrees":58.86486486486486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[352,13,717,378,717,13],"beta":{"interval_sums":[141982,133228,142712,126658,136142,125928],"interval_residues":[362,368,362,368,362,368],"display_cycle":[362,368,362,368,362,368],"intervals":[{"from_index":363,"to_index":733,"sum":141982,"residue":362},{"from_index":733,"to_index":1103,"sum":133228,"residue":368},{"from_index":1103,"to_index":1473,"sum":142712,"residue":362},{"from_index":1473,"to_index":1843,"sum":126658,"residue":368},{"from_index":1843,"to_index":2213,"sum":136142,"residue":362},{"from_index":2213,"to_index":363,"sum":125928,"residue":368}],"minimal_cycle":[362,368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[363,733],"circle_positions":730,"cycle_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":[364,734,1104,1474,1844,2214],"clock_positions":[364,734,1104,1474,1844,2214],"native_values":[373,357,8,357,373,722],"rotation_degrees":59.027027027027025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[373,357,8,357,373,722],"beta":{"interval_sums":[141622,133588,143082,127018,135782,125558],"interval_residues":[2,728,2,728,2,728],"display_cycle":[2,728,2,728,2,728],"intervals":[{"from_index":364,"to_index":734,"sum":141622,"residue":2},{"from_index":734,"to_index":1104,"sum":133588,"residue":728},{"from_index":1104,"to_index":1474,"sum":143082,"residue":2},{"from_index":1474,"to_index":1844,"sum":127018,"residue":728},{"from_index":1844,"to_index":2214,"sum":135782,"residue":2},{"from_index":2214,"to_index":364,"sum":125558,"residue":728}],"minimal_cycle":[2,728],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[364,734],"circle_positions":730,"cycle_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":[365,735,1105,1475,1845,2215],"clock_positions":[365,735,1105,1475,1845,2215],"native_values":[725,370,725,5,360,5],"rotation_degrees":59.189189189189186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[725,370,725,5,360,5],"beta":{"interval_sums":[141254,133226,142714,127386,136144,125926],"interval_residues":[364,366,364,366,364,366],"display_cycle":[364,366,364,366,364,366],"intervals":[{"from_index":365,"to_index":735,"sum":141254,"residue":364},{"from_index":735,"to_index":1105,"sum":133226,"residue":366},{"from_index":1105,"to_index":1475,"sum":142714,"residue":364},{"from_index":1475,"to_index":1845,"sum":127386,"residue":366},{"from_index":1845,"to_index":2215,"sum":136144,"residue":364},{"from_index":2215,"to_index":365,"sum":125926,"residue":366}],"minimal_cycle":[364,366],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":364,"start_interval_clock_positions":[365,735],"circle_positions":730,"cycle_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":[366,736,1106,1476,1846,2216],"clock_positions":[366,736,1106,1476,1846,2216],"native_values":[368,727,3,362,3,727],"rotation_degrees":59.351351351351354,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[368,727,3,362,3,727],"beta":{"interval_sums":[141256,133224,142716,127384,136146,125924],"interval_residues":[366,364,366,364,366,364],"display_cycle":[366,364,366,364,366,364],"intervals":[{"from_index":366,"to_index":736,"sum":141256,"residue":366},{"from_index":736,"to_index":1106,"sum":133224,"residue":364},{"from_index":1106,"to_index":1476,"sum":142716,"residue":366},{"from_index":1476,"to_index":1846,"sum":127384,"residue":364},{"from_index":1846,"to_index":2216,"sum":136146,"residue":366},{"from_index":2216,"to_index":366,"sum":125924,"residue":364}],"minimal_cycle":[366,364],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":366,"start_interval_clock_positions":[366,736],"circle_positions":730,"cycle_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":[367,737,1107,1477,1847,2217],"clock_positions":[367,737,1107,1477,1847,2217],"native_values":[363,367,728,367,363,2],"rotation_degrees":59.513513513513516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[363,367,728,367,363,2],"beta":{"interval_sums":[141620,132860,142350,127020,136510,126290],"interval_residues":[0,0,0,0,0,0],"display_cycle":[730,730,730,730,730,730],"intervals":[{"from_index":367,"to_index":737,"sum":141620,"residue":0},{"from_index":737,"to_index":1107,"sum":132860,"residue":0},{"from_index":1107,"to_index":1477,"sum":142350,"residue":0},{"from_index":1477,"to_index":1847,"sum":127020,"residue":0},{"from_index":1847,"to_index":2217,"sum":136510,"residue":0},{"from_index":2217,"to_index":367,"sum":126290,"residue":0}],"minimal_cycle":[0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":730,"start_interval_clock_positions":[367,737],"circle_positions":730,"cycle_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":[368,738,1108,1478,1848,2218],"clock_positions":[368,738,1108,1478,1848,2218],"native_values":[1,364,1,729,366,729],"rotation_degrees":59.67567567567568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,364,1,729,366,729],"beta":{"interval_sums":[141986,133224,142716,126654,136146,125924],"interval_residues":[366,364,366,364,366,364],"display_cycle":[366,364,366,364,366,364],"intervals":[{"from_index":368,"to_index":738,"sum":141986,"residue":366},{"from_index":738,"to_index":1108,"sum":133224,"residue":364},{"from_index":1108,"to_index":1478,"sum":142716,"residue":366},{"from_index":1478,"to_index":1848,"sum":126654,"residue":364},{"from_index":1848,"to_index":2218,"sum":136146,"residue":366},{"from_index":2218,"to_index":368,"sum":125924,"residue":364}],"minimal_cycle":[366,364],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":366,"start_interval_clock_positions":[368,738],"circle_positions":730,"cycle_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":[369,739,1109,1479,1849,2219],"clock_positions":[369,739,1109,1479,1849,2219],"native_values":[364,1,729,366,729,1],"rotation_degrees":59.83783783783784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[364,1,729,366,729,1],"beta":{"interval_sums":[141986,133224,142716,126654,136146,125924],"interval_residues":[366,364,366,364,366,364],"display_cycle":[366,364,366,364,366,364],"intervals":[{"from_index":369,"to_index":739,"sum":141986,"residue":366},{"from_index":739,"to_index":1109,"sum":133224,"residue":364},{"from_index":1109,"to_index":1479,"sum":142716,"residue":366},{"from_index":1479,"to_index":1849,"sum":126654,"residue":364},{"from_index":1849,"to_index":2219,"sum":136146,"residue":366},{"from_index":2219,"to_index":369,"sum":125924,"residue":364}],"minimal_cycle":[366,364],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":366,"start_interval_clock_positions":[369,739],"circle_positions":730,"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":[730,365,365,730,365,365],"rotation_degrees":0.0,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-185","shape":"Hexagon","values":[365,730,365,365,730,365],"rotation_degrees":30.0,"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":[0,740,1850,1110,370,1480,0],"clock_positions":[2220,740,1850,1110,370,1480,2220],"native_values":[730,365,365,730,365,365,730],"reduced_m9_values":[9,5,5,9,5,5,9],"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":370,"candidates":[{"formation_id":"6-nodes-offset-0","alpha_indices":[0,370,740,1110,1480,1850],"clock_positions":[2220,370,740,1110,1480,1850],"native_values":[730,365,365,730,365,365],"rotation_degrees":0.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":0,"clock_position":2220,"value":730},{"alpha_index":370,"clock_position":370,"value":365},{"alpha_index":740,"clock_position":740,"value":365},{"alpha_index":1110,"clock_position":1110,"value":730},{"alpha_index":1480,"clock_position":1480,"value":365},{"alpha_index":1850,"clock_position":1850,"value":365}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-1","alpha_indices":[1,371,741,1111,1481,1851],"clock_positions":[1,371,741,1111,1481,1851],"native_values":[1,729,366,729,1,364],"rotation_degrees":0.16216216216216217,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":1,"clock_position":1,"value":1},{"alpha_index":371,"clock_position":371,"value":729},{"alpha_index":741,"clock_position":741,"value":366},{"alpha_index":1111,"clock_position":1111,"value":729},{"alpha_index":1481,"clock_position":1481,"value":1},{"alpha_index":1851,"clock_position":1851,"value":364}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-2","alpha_indices":[2,372,742,1112,1482,1852],"clock_positions":[2,372,742,1112,1482,1852],"native_values":[1,364,1,729,366,729],"rotation_degrees":0.32432432432432434,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":2,"clock_position":2,"value":1},{"alpha_index":372,"clock_position":372,"value":364},{"alpha_index":742,"clock_position":742,"value":1},{"alpha_index":1112,"clock_position":1112,"value":729},{"alpha_index":1482,"clock_position":1482,"value":366},{"alpha_index":1852,"clock_position":1852,"value":729}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-3","alpha_indices":[3,373,743,1113,1483,1853],"clock_positions":[3,373,743,1113,1483,1853],"native_values":[2,363,367,728,367,363],"rotation_degrees":0.4864864864864865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":3,"clock_position":3,"value":2},{"alpha_index":373,"clock_position":373,"value":363},{"alpha_index":743,"clock_position":743,"value":367},{"alpha_index":1113,"clock_position":1113,"value":728},{"alpha_index":1483,"clock_position":1483,"value":367},{"alpha_index":1853,"clock_position":1853,"value":363}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-4","alpha_indices":[4,374,744,1114,1484,1854],"clock_positions":[4,374,744,1114,1484,1854],"native_values":[3,727,368,727,3,362],"rotation_degrees":0.6486486486486487,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":374,"clock_position":374,"value":727},{"alpha_index":744,"clock_position":744,"value":368},{"alpha_index":1114,"clock_position":1114,"value":727},{"alpha_index":1854,"clock_position":1854,"value":362}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-5","alpha_indices":[5,375,745,1115,1485,1855],"clock_positions":[5,375,745,1115,1485,1855],"native_values":[5,360,5,725,370,725],"rotation_degrees":0.8108108108108109,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":5,"clock_position":5,"value":5},{"alpha_index":375,"clock_position":375,"value":360},{"alpha_index":745,"clock_position":745,"value":5},{"alpha_index":1115,"clock_position":1115,"value":725},{"alpha_index":1485,"clock_position":1485,"value":370},{"alpha_index":1855,"clock_position":1855,"value":725}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-6","alpha_indices":[6,376,746,1116,1486,1856],"clock_positions":[6,376,746,1116,1486,1856],"native_values":[8,357,373,722,373,357],"rotation_degrees":0.972972972972973,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":6,"clock_position":6,"value":8},{"alpha_index":376,"clock_position":376,"value":357},{"alpha_index":746,"clock_position":746,"value":373},{"alpha_index":1116,"clock_position":1116,"value":722},{"alpha_index":1486,"clock_position":1486,"value":373},{"alpha_index":1856,"clock_position":1856,"value":357}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-7","alpha_indices":[7,377,747,1117,1487,1857],"clock_positions":[7,377,747,1117,1487,1857],"native_values":[13,717,378,717,13,352],"rotation_degrees":1.135135135135135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":7,"clock_position":7,"value":13},{"alpha_index":377,"clock_position":377,"value":717},{"alpha_index":747,"clock_position":747,"value":378},{"alpha_index":1117,"clock_position":1117,"value":717},{"alpha_index":1487,"clock_position":1487,"value":13},{"alpha_index":1857,"clock_position":1857,"value":352}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-8","alpha_indices":[8,378,748,1118,1488,1858],"clock_positions":[8,378,748,1118,1488,1858],"native_values":[21,344,21,709,386,709],"rotation_degrees":1.2972972972972974,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":8,"clock_position":8,"value":21},{"alpha_index":378,"clock_position":378,"value":344},{"alpha_index":748,"clock_position":748,"value":21},{"alpha_index":1118,"clock_position":1118,"value":709},{"alpha_index":1488,"clock_position":1488,"value":386},{"alpha_index":1858,"clock_position":1858,"value":709}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-9","alpha_indices":[9,379,749,1119,1489,1859],"clock_positions":[9,379,749,1119,1489,1859],"native_values":[34,331,399,696,399,331],"rotation_degrees":1.4594594594594594,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":9,"clock_position":9,"value":34},{"alpha_index":379,"clock_position":379,"value":331},{"alpha_index":749,"clock_position":749,"value":399},{"alpha_index":1119,"clock_position":1119,"value":696},{"alpha_index":1489,"clock_position":1489,"value":399},{"alpha_index":1859,"clock_position":1859,"value":331}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-10","alpha_indices":[10,380,750,1120,1490,1860],"clock_positions":[10,380,750,1120,1490,1860],"native_values":[55,675,420,675,55,310],"rotation_degrees":1.6216216216216217,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":10,"clock_position":10,"value":55},{"alpha_index":380,"clock_position":380,"value":675},{"alpha_index":750,"clock_position":750,"value":420},{"alpha_index":1120,"clock_position":1120,"value":675},{"alpha_index":1490,"clock_position":1490,"value":55},{"alpha_index":1860,"clock_position":1860,"value":310}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-11","alpha_indices":[11,381,751,1121,1491,1861],"clock_positions":[11,381,751,1121,1491,1861],"native_values":[89,276,89,641,454,641],"rotation_degrees":1.7837837837837838,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":11,"clock_position":11,"value":89},{"alpha_index":381,"clock_position":381,"value":276},{"alpha_index":751,"clock_position":751,"value":89},{"alpha_index":1121,"clock_position":1121,"value":641},{"alpha_index":1491,"clock_position":1491,"value":454},{"alpha_index":1861,"clock_position":1861,"value":641}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-12","alpha_indices":[12,382,752,1122,1492,1862],"clock_positions":[12,382,752,1122,1492,1862],"native_values":[144,221,509,586,509,221],"rotation_degrees":1.945945945945946,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":12,"clock_position":12,"value":144},{"alpha_index":382,"clock_position":382,"value":221},{"alpha_index":752,"clock_position":752,"value":509},{"alpha_index":1122,"clock_position":1122,"value":586},{"alpha_index":1492,"clock_position":1492,"value":509},{"alpha_index":1862,"clock_position":1862,"value":221}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-13","alpha_indices":[13,383,753,1123,1493,1863],"clock_positions":[13,383,753,1123,1493,1863],"native_values":[233,497,598,497,233,132],"rotation_degrees":2.108108108108108,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":13,"clock_position":13,"value":233},{"alpha_index":383,"clock_position":383,"value":497},{"alpha_index":753,"clock_position":753,"value":598},{"alpha_index":1123,"clock_position":1123,"value":497},{"alpha_index":1493,"clock_position":1493,"value":233},{"alpha_index":1863,"clock_position":1863,"value":132}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-14","alpha_indices":[14,384,754,1124,1494,1864],"clock_positions":[14,384,754,1124,1494,1864],"native_values":[377,718,377,353,12,353],"rotation_degrees":2.27027027027027,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":14,"clock_position":14,"value":377},{"alpha_index":384,"clock_position":384,"value":718},{"alpha_index":754,"clock_position":754,"value":377},{"alpha_index":1124,"clock_position":1124,"value":353},{"alpha_index":1494,"clock_position":1494,"value":12},{"alpha_index":1864,"clock_position":1864,"value":353}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-15","alpha_indices":[15,385,755,1125,1495,1865],"clock_positions":[15,385,755,1125,1495,1865],"native_values":[610,485,245,120,245,485],"rotation_degrees":2.4324324324324325,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":15,"clock_position":15,"value":610},{"alpha_index":385,"clock_position":385,"value":485},{"alpha_index":755,"clock_position":755,"value":245},{"alpha_index":1125,"clock_position":1125,"value":120},{"alpha_index":1495,"clock_position":1495,"value":245},{"alpha_index":1865,"clock_position":1865,"value":485}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-16","alpha_indices":[16,386,756,1126,1496,1866],"clock_positions":[16,386,756,1126,1496,1866],"native_values":[257,473,622,473,257,108],"rotation_degrees":2.5945945945945947,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":16,"clock_position":16,"value":257},{"alpha_index":386,"clock_position":386,"value":473},{"alpha_index":756,"clock_position":756,"value":622},{"alpha_index":1126,"clock_position":1126,"value":473},{"alpha_index":1496,"clock_position":1496,"value":257},{"alpha_index":1866,"clock_position":1866,"value":108}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-17","alpha_indices":[17,387,757,1127,1497,1867],"clock_positions":[17,387,757,1127,1497,1867],"native_values":[137,228,137,593,502,593],"rotation_degrees":2.7567567567567566,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":17,"clock_position":17,"value":137},{"alpha_index":387,"clock_position":387,"value":228},{"alpha_index":757,"clock_position":757,"value":137},{"alpha_index":1127,"clock_position":1127,"value":593},{"alpha_index":1497,"clock_position":1497,"value":502},{"alpha_index":1867,"clock_position":1867,"value":593}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-18","alpha_indices":[18,388,758,1128,1498,1868],"clock_positions":[18,388,758,1128,1498,1868],"native_values":[394,701,29,336,29,701],"rotation_degrees":2.918918918918919,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":18,"clock_position":18,"value":394},{"alpha_index":388,"clock_position":388,"value":701},{"alpha_index":758,"clock_position":758,"value":29},{"alpha_index":1128,"clock_position":1128,"value":336},{"alpha_index":1498,"clock_position":1498,"value":29},{"alpha_index":1868,"clock_position":1868,"value":701}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-19","alpha_indices":[19,389,759,1129,1499,1869],"clock_positions":[19,389,759,1129,1499,1869],"native_values":[531,199,166,199,531,564],"rotation_degrees":3.081081081081081,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":19,"clock_position":19,"value":531},{"alpha_index":389,"clock_position":389,"value":199},{"alpha_index":759,"clock_position":759,"value":166},{"alpha_index":1129,"clock_position":1129,"value":199},{"alpha_index":1499,"clock_position":1499,"value":531},{"alpha_index":1869,"clock_position":1869,"value":564}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-20","alpha_indices":[20,390,760,1130,1500,1870],"clock_positions":[20,390,760,1130,1500,1870],"native_values":[195,170,195,535,560,535],"rotation_degrees":3.2432432432432434,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":20,"clock_position":20,"value":195},{"alpha_index":390,"clock_position":390,"value":170},{"alpha_index":760,"clock_position":760,"value":195},{"alpha_index":1130,"clock_position":1130,"value":535},{"alpha_index":1500,"clock_position":1500,"value":560},{"alpha_index":1870,"clock_position":1870,"value":535}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-21","alpha_indices":[21,391,761,1131,1501,1871],"clock_positions":[21,391,761,1131,1501,1871],"native_values":[726,369,361,4,361,369],"rotation_degrees":3.4054054054054053,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":21,"clock_position":21,"value":726},{"alpha_index":391,"clock_position":391,"value":369},{"alpha_index":761,"clock_position":761,"value":361},{"alpha_index":1131,"clock_position":1131,"value":4},{"alpha_index":1501,"clock_position":1501,"value":361},{"alpha_index":1871,"clock_position":1871,"value":369}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-22","alpha_indices":[22,392,762,1132,1502,1872],"clock_positions":[22,392,762,1132,1502,1872],"native_values":[191,539,556,539,191,174],"rotation_degrees":3.5675675675675675,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":22,"clock_position":22,"value":191},{"alpha_index":392,"clock_position":392,"value":539},{"alpha_index":762,"clock_position":762,"value":556},{"alpha_index":1132,"clock_position":1132,"value":539},{"alpha_index":1502,"clock_position":1502,"value":191},{"alpha_index":1872,"clock_position":1872,"value":174}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-23","alpha_indices":[23,393,763,1133,1503,1873],"clock_positions":[23,393,763,1133,1503,1873],"native_values":[187,178,187,543,552,543],"rotation_degrees":3.72972972972973,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":23,"clock_position":23,"value":187},{"alpha_index":393,"clock_position":393,"value":178},{"alpha_index":763,"clock_position":763,"value":187},{"alpha_index":1133,"clock_position":1133,"value":543},{"alpha_index":1503,"clock_position":1503,"value":552},{"alpha_index":1873,"clock_position":1873,"value":543}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-24","alpha_indices":[24,394,764,1134,1504,1874],"clock_positions":[24,394,764,1134,1504,1874],"native_values":[378,717,13,352,13,717],"rotation_degrees":3.891891891891892,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":24,"clock_position":24,"value":378},{"alpha_index":394,"clock_position":394,"value":717},{"alpha_index":764,"clock_position":764,"value":13},{"alpha_index":1134,"clock_position":1134,"value":352},{"alpha_index":1504,"clock_position":1504,"value":13},{"alpha_index":1874,"clock_position":1874,"value":717}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-25","alpha_indices":[25,395,765,1135,1505,1875],"clock_positions":[25,395,765,1135,1505,1875],"native_values":[565,165,200,165,565,530],"rotation_degrees":4.054054054054054,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":25,"clock_position":25,"value":565},{"alpha_index":395,"clock_position":395,"value":165},{"alpha_index":765,"clock_position":765,"value":200},{"alpha_index":1135,"clock_position":1135,"value":165},{"alpha_index":1505,"clock_position":1505,"value":565},{"alpha_index":1875,"clock_position":1875,"value":530}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-26","alpha_indices":[26,396,766,1136,1506,1876],"clock_positions":[26,396,766,1136,1506,1876],"native_values":[213,152,213,517,578,517],"rotation_degrees":4.216216216216216,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":26,"clock_position":26,"value":213},{"alpha_index":396,"clock_position":396,"value":152},{"alpha_index":766,"clock_position":766,"value":213},{"alpha_index":1136,"clock_position":1136,"value":517},{"alpha_index":1506,"clock_position":1506,"value":578},{"alpha_index":1876,"clock_position":1876,"value":517}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-27","alpha_indices":[27,397,767,1137,1507,1877],"clock_positions":[27,397,767,1137,1507,1877],"native_values":[48,317,413,682,413,317],"rotation_degrees":4.378378378378378,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":27,"clock_position":27,"value":48},{"alpha_index":397,"clock_position":397,"value":317},{"alpha_index":767,"clock_position":767,"value":413},{"alpha_index":1137,"clock_position":1137,"value":682},{"alpha_index":1507,"clock_position":1507,"value":413},{"alpha_index":1877,"clock_position":1877,"value":317}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-28","alpha_indices":[28,398,768,1138,1508,1878],"clock_positions":[28,398,768,1138,1508,1878],"native_values":[261,469,626,469,261,104],"rotation_degrees":4.54054054054054,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":28,"clock_position":28,"value":261},{"alpha_index":398,"clock_position":398,"value":469},{"alpha_index":768,"clock_position":768,"value":626},{"alpha_index":1138,"clock_position":1138,"value":469},{"alpha_index":1508,"clock_position":1508,"value":261},{"alpha_index":1878,"clock_position":1878,"value":104}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-29","alpha_indices":[29,399,769,1139,1509,1879],"clock_positions":[29,399,769,1139,1509,1879],"native_values":[309,56,309,421,674,421],"rotation_degrees":4.702702702702703,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":29,"clock_position":29,"value":309},{"alpha_index":399,"clock_position":399,"value":56},{"alpha_index":769,"clock_position":769,"value":309},{"alpha_index":1139,"clock_position":1139,"value":421},{"alpha_index":1509,"clock_position":1509,"value":674},{"alpha_index":1879,"clock_position":1879,"value":421}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-30","alpha_indices":[30,400,770,1140,1510,1880],"clock_positions":[30,400,770,1140,1510,1880],"native_values":[570,525,205,160,205,525],"rotation_degrees":4.864864864864865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":30,"clock_position":30,"value":570},{"alpha_index":400,"clock_position":400,"value":525},{"alpha_index":770,"clock_position":770,"value":205},{"alpha_index":1140,"clock_position":1140,"value":160},{"alpha_index":1510,"clock_position":1510,"value":205},{"alpha_index":1880,"clock_position":1880,"value":525}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-31","alpha_indices":[31,401,771,1141,1511,1881],"clock_positions":[31,401,771,1141,1511,1881],"native_values":[149,581,514,581,149,216],"rotation_degrees":5.027027027027027,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":31,"clock_position":31,"value":149},{"alpha_index":401,"clock_position":401,"value":581},{"alpha_index":771,"clock_position":771,"value":514},{"alpha_index":1141,"clock_position":1141,"value":581},{"alpha_index":1511,"clock_position":1511,"value":149},{"alpha_index":1881,"clock_position":1881,"value":216}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-32","alpha_indices":[32,402,772,1142,1512,1882],"clock_positions":[32,402,772,1142,1512,1882],"native_values":[719,376,719,11,354,11],"rotation_degrees":5.1891891891891895,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":32,"clock_position":32,"value":719},{"alpha_index":402,"clock_position":402,"value":376},{"alpha_index":772,"clock_position":772,"value":719},{"alpha_index":1142,"clock_position":1142,"value":11},{"alpha_index":1512,"clock_position":1512,"value":354},{"alpha_index":1882,"clock_position":1882,"value":11}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-33","alpha_indices":[33,403,773,1143,1513,1883],"clock_positions":[33,403,773,1143,1513,1883],"native_values":[138,227,503,592,503,227],"rotation_degrees":5.351351351351352,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":33,"clock_position":33,"value":138},{"alpha_index":403,"clock_position":403,"value":227},{"alpha_index":773,"clock_position":773,"value":503},{"alpha_index":1143,"clock_position":1143,"value":592},{"alpha_index":1513,"clock_position":1513,"value":503},{"alpha_index":1883,"clock_position":1883,"value":227}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-34","alpha_indices":[34,404,774,1144,1514,1884],"clock_positions":[34,404,774,1144,1514,1884],"native_values":[127,603,492,603,127,238],"rotation_degrees":5.513513513513513,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":34,"clock_position":34,"value":127},{"alpha_index":404,"clock_position":404,"value":603},{"alpha_index":774,"clock_position":774,"value":492},{"alpha_index":1144,"clock_position":1144,"value":603},{"alpha_index":1514,"clock_position":1514,"value":127},{"alpha_index":1884,"clock_position":1884,"value":238}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-35","alpha_indices":[35,405,775,1145,1515,1885],"clock_positions":[35,405,775,1145,1515,1885],"native_values":[265,100,265,465,630,465],"rotation_degrees":5.675675675675675,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":35,"clock_position":35,"value":265},{"alpha_index":405,"clock_position":405,"value":100},{"alpha_index":775,"clock_position":775,"value":265},{"alpha_index":1145,"clock_position":1145,"value":465},{"alpha_index":1515,"clock_position":1515,"value":630},{"alpha_index":1885,"clock_position":1885,"value":465}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-36","alpha_indices":[36,406,776,1146,1516,1886],"clock_positions":[36,406,776,1146,1516,1886],"native_values":[392,703,27,338,27,703],"rotation_degrees":5.837837837837838,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":36,"clock_position":36,"value":392},{"alpha_index":406,"clock_position":406,"value":703},{"alpha_index":776,"clock_position":776,"value":27},{"alpha_index":1146,"clock_position":1146,"value":338},{"alpha_index":1516,"clock_position":1516,"value":27},{"alpha_index":1886,"clock_position":1886,"value":703}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-37","alpha_indices":[37,407,777,1147,1517,1887],"clock_positions":[37,407,777,1147,1517,1887],"native_values":[657,73,292,73,657,438],"rotation_degrees":6.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":37,"clock_position":37,"value":657},{"alpha_index":407,"clock_position":407,"value":73},{"alpha_index":777,"clock_position":777,"value":292},{"alpha_index":1147,"clock_position":1147,"value":73},{"alpha_index":1517,"clock_position":1517,"value":657},{"alpha_index":1887,"clock_position":1887,"value":438}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-38","alpha_indices":[38,408,778,1148,1518,1888],"clock_positions":[38,408,778,1148,1518,1888],"native_values":[319,46,319,411,684,411],"rotation_degrees":6.162162162162162,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":38,"clock_position":38,"value":319},{"alpha_index":408,"clock_position":408,"value":46},{"alpha_index":778,"clock_position":778,"value":319},{"alpha_index":1148,"clock_position":1148,"value":411},{"alpha_index":1518,"clock_position":1518,"value":684},{"alpha_index":1888,"clock_position":1888,"value":411}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-39","alpha_indices":[39,409,779,1149,1519,1889],"clock_positions":[39,409,779,1149,1519,1889],"native_values":[246,119,611,484,611,119],"rotation_degrees":6.324324324324325,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":39,"clock_position":39,"value":246},{"alpha_index":409,"clock_position":409,"value":119},{"alpha_index":779,"clock_position":779,"value":611},{"alpha_index":1149,"clock_position":1149,"value":484},{"alpha_index":1519,"clock_position":1519,"value":611},{"alpha_index":1889,"clock_position":1889,"value":119}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-40","alpha_indices":[40,410,780,1150,1520,1890],"clock_positions":[40,410,780,1150,1520,1890],"native_values":[565,165,200,165,565,530],"rotation_degrees":6.486486486486487,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":40,"clock_position":40,"value":565},{"alpha_index":410,"clock_position":410,"value":165},{"alpha_index":780,"clock_position":780,"value":200},{"alpha_index":1150,"clock_position":1150,"value":165},{"alpha_index":1520,"clock_position":1520,"value":565},{"alpha_index":1890,"clock_position":1890,"value":530}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-41","alpha_indices":[41,411,781,1151,1521,1891],"clock_positions":[41,411,781,1151,1521,1891],"native_values":[81,284,81,649,446,649],"rotation_degrees":6.648648648648648,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":41,"clock_position":41,"value":81},{"alpha_index":411,"clock_position":411,"value":284},{"alpha_index":781,"clock_position":781,"value":81},{"alpha_index":1151,"clock_position":1151,"value":649},{"alpha_index":1521,"clock_position":1521,"value":446},{"alpha_index":1891,"clock_position":1891,"value":649}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-42","alpha_indices":[42,412,782,1152,1522,1892],"clock_positions":[42,412,782,1152,1522,1892],"native_values":[646,449,281,84,281,449],"rotation_degrees":6.8108108108108105,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":42,"clock_position":42,"value":646},{"alpha_index":412,"clock_position":412,"value":449},{"alpha_index":782,"clock_position":782,"value":281},{"alpha_index":1152,"clock_position":1152,"value":84},{"alpha_index":1522,"clock_position":1522,"value":281},{"alpha_index":1892,"clock_position":1892,"value":449}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-43","alpha_indices":[43,413,783,1153,1523,1893],"clock_positions":[43,413,783,1153,1523,1893],"native_values":[727,3,362,3,727,368],"rotation_degrees":6.972972972972973,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":43,"clock_position":43,"value":727},{"alpha_index":783,"clock_position":783,"value":362},{"alpha_index":1523,"clock_position":1523,"value":727},{"alpha_index":1893,"clock_position":1893,"value":368}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-44","alpha_indices":[44,414,784,1154,1524,1894],"clock_positions":[44,414,784,1154,1524,1894],"native_values":[643,452,643,87,278,87],"rotation_degrees":7.135135135135135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":44,"clock_position":44,"value":643},{"alpha_index":414,"clock_position":414,"value":452},{"alpha_index":784,"clock_position":784,"value":643},{"alpha_index":1154,"clock_position":1154,"value":87},{"alpha_index":1524,"clock_position":1524,"value":278},{"alpha_index":1894,"clock_position":1894,"value":87}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-45","alpha_indices":[45,415,785,1155,1525,1895],"clock_positions":[45,415,785,1155,1525,1895],"native_values":[640,455,275,90,275,455],"rotation_degrees":7.297297297297297,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":45,"clock_position":45,"value":640},{"alpha_index":415,"clock_position":415,"value":455},{"alpha_index":785,"clock_position":785,"value":275},{"alpha_index":1155,"clock_position":1155,"value":90},{"alpha_index":1525,"clock_position":1525,"value":275},{"alpha_index":1895,"clock_position":1895,"value":455}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-46","alpha_indices":[46,416,786,1156,1526,1896],"clock_positions":[46,416,786,1156,1526,1896],"native_values":[553,177,188,177,553,542],"rotation_degrees":7.45945945945946,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":46,"clock_position":46,"value":553},{"alpha_index":416,"clock_position":416,"value":177},{"alpha_index":786,"clock_position":786,"value":188},{"alpha_index":1156,"clock_position":1156,"value":177},{"alpha_index":1526,"clock_position":1526,"value":553},{"alpha_index":1896,"clock_position":1896,"value":542}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-47","alpha_indices":[47,417,787,1157,1527,1897],"clock_positions":[47,417,787,1157,1527,1897],"native_values":[463,632,463,267,98,267],"rotation_degrees":7.621621621621622,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":47,"clock_position":47,"value":463},{"alpha_index":417,"clock_position":417,"value":632},{"alpha_index":787,"clock_position":787,"value":463},{"alpha_index":1157,"clock_position":1157,"value":267},{"alpha_index":1527,"clock_position":1527,"value":98},{"alpha_index":1897,"clock_position":1897,"value":267}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-48","alpha_indices":[48,418,788,1158,1528,1898],"clock_positions":[48,418,788,1158,1528,1898],"native_values":[286,79,651,444,651,79],"rotation_degrees":7.783783783783784,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":48,"clock_position":48,"value":286},{"alpha_index":418,"clock_position":418,"value":79},{"alpha_index":788,"clock_position":788,"value":651},{"alpha_index":1158,"clock_position":1158,"value":444},{"alpha_index":1528,"clock_position":1528,"value":651},{"alpha_index":1898,"clock_position":1898,"value":79}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-49","alpha_indices":[49,419,789,1159,1529,1899],"clock_positions":[49,419,789,1159,1529,1899],"native_values":[19,711,384,711,19,346],"rotation_degrees":7.945945945945946,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":49,"clock_position":49,"value":19},{"alpha_index":419,"clock_position":419,"value":711},{"alpha_index":789,"clock_position":789,"value":384},{"alpha_index":1159,"clock_position":1159,"value":711},{"alpha_index":1529,"clock_position":1529,"value":19},{"alpha_index":1899,"clock_position":1899,"value":346}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-50","alpha_indices":[50,420,790,1160,1530,1900],"clock_positions":[50,420,790,1160,1530,1900],"native_values":[305,60,305,425,670,425],"rotation_degrees":8.108108108108109,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":50,"clock_position":50,"value":305},{"alpha_index":420,"clock_position":420,"value":60},{"alpha_index":790,"clock_position":790,"value":305},{"alpha_index":1160,"clock_position":1160,"value":425},{"alpha_index":1530,"clock_position":1530,"value":670},{"alpha_index":1900,"clock_position":1900,"value":425}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-51","alpha_indices":[51,421,791,1161,1531,1901],"clock_positions":[51,421,791,1161,1531,1901],"native_values":[324,41,689,406,689,41],"rotation_degrees":8.27027027027027,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":51,"clock_position":51,"value":324},{"alpha_index":421,"clock_position":421,"value":41},{"alpha_index":791,"clock_position":791,"value":689},{"alpha_index":1161,"clock_position":1161,"value":406},{"alpha_index":1531,"clock_position":1531,"value":689},{"alpha_index":1901,"clock_position":1901,"value":41}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-52","alpha_indices":[52,422,792,1162,1532,1902],"clock_positions":[52,422,792,1162,1532,1902],"native_values":[629,101,264,101,629,466],"rotation_degrees":8.432432432432432,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":52,"clock_position":52,"value":629},{"alpha_index":422,"clock_position":422,"value":101},{"alpha_index":792,"clock_position":792,"value":264},{"alpha_index":1162,"clock_position":1162,"value":101},{"alpha_index":1532,"clock_position":1532,"value":629},{"alpha_index":1902,"clock_position":1902,"value":466}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-53","alpha_indices":[53,423,793,1163,1533,1903],"clock_positions":[53,423,793,1163,1533,1903],"native_values":[223,142,223,507,588,507],"rotation_degrees":8.594594594594595,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":53,"clock_position":53,"value":223},{"alpha_index":423,"clock_position":423,"value":142},{"alpha_index":793,"clock_position":793,"value":223},{"alpha_index":1163,"clock_position":1163,"value":507},{"alpha_index":1533,"clock_position":1533,"value":588},{"alpha_index":1903,"clock_position":1903,"value":507}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-54","alpha_indices":[54,424,794,1164,1534,1904],"clock_positions":[54,424,794,1164,1534,1904],"native_values":[122,243,487,608,487,243],"rotation_degrees":8.756756756756756,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":54,"clock_position":54,"value":122},{"alpha_index":424,"clock_position":424,"value":243},{"alpha_index":794,"clock_position":794,"value":487},{"alpha_index":1164,"clock_position":1164,"value":608},{"alpha_index":1534,"clock_position":1534,"value":487},{"alpha_index":1904,"clock_position":1904,"value":243}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-55","alpha_indices":[55,425,795,1165,1535,1905],"clock_positions":[55,425,795,1165,1535,1905],"native_values":[345,385,710,385,345,20],"rotation_degrees":8.91891891891892,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":55,"clock_position":55,"value":345},{"alpha_index":425,"clock_position":425,"value":385},{"alpha_index":795,"clock_position":795,"value":710},{"alpha_index":1165,"clock_position":1165,"value":385},{"alpha_index":1535,"clock_position":1535,"value":345},{"alpha_index":1905,"clock_position":1905,"value":20}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-56","alpha_indices":[56,426,796,1166,1536,1906],"clock_positions":[56,426,796,1166,1536,1906],"native_values":[467,628,467,263,102,263],"rotation_degrees":9.08108108108108,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":56,"clock_position":56,"value":467},{"alpha_index":426,"clock_position":426,"value":628},{"alpha_index":796,"clock_position":796,"value":467},{"alpha_index":1166,"clock_position":1166,"value":263},{"alpha_index":1536,"clock_position":1536,"value":102},{"alpha_index":1906,"clock_position":1906,"value":263}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-57","alpha_indices":[57,427,797,1167,1537,1907],"clock_positions":[57,427,797,1167,1537,1907],"native_values":[82,283,447,648,447,283],"rotation_degrees":9.243243243243244,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":57,"clock_position":57,"value":82},{"alpha_index":427,"clock_position":427,"value":283},{"alpha_index":797,"clock_position":797,"value":447},{"alpha_index":1167,"clock_position":1167,"value":648},{"alpha_index":1537,"clock_position":1537,"value":447},{"alpha_index":1907,"clock_position":1907,"value":283}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-58","alpha_indices":[58,428,798,1168,1538,1908],"clock_positions":[58,428,798,1168,1538,1908],"native_values":[549,181,184,181,549,546],"rotation_degrees":9.405405405405405,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":58,"clock_position":58,"value":549},{"alpha_index":428,"clock_position":428,"value":181},{"alpha_index":798,"clock_position":798,"value":184},{"alpha_index":1168,"clock_position":1168,"value":181},{"alpha_index":1538,"clock_position":1538,"value":549},{"alpha_index":1908,"clock_position":1908,"value":546}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-59","alpha_indices":[59,429,799,1169,1539,1909],"clock_positions":[59,429,799,1169,1539,1909],"native_values":[631,464,631,99,266,99],"rotation_degrees":9.567567567567568,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":59,"clock_position":59,"value":631},{"alpha_index":429,"clock_position":429,"value":464},{"alpha_index":799,"clock_position":799,"value":631},{"alpha_index":1169,"clock_position":1169,"value":99},{"alpha_index":1539,"clock_position":1539,"value":266},{"alpha_index":1909,"clock_position":1909,"value":99}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-60","alpha_indices":[60,430,800,1170,1540,1910],"clock_positions":[60,430,800,1170,1540,1910],"native_values":[450,645,85,280,85,645],"rotation_degrees":9.72972972972973,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":60,"clock_position":60,"value":450},{"alpha_index":430,"clock_position":430,"value":645},{"alpha_index":800,"clock_position":800,"value":85},{"alpha_index":1170,"clock_position":1170,"value":280},{"alpha_index":1540,"clock_position":1540,"value":85},{"alpha_index":1910,"clock_position":1910,"value":645}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-61","alpha_indices":[61,431,801,1171,1541,1911],"clock_positions":[61,431,801,1171,1541,1911],"native_values":[351,379,716,379,351,14],"rotation_degrees":9.891891891891891,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":61,"clock_position":61,"value":351},{"alpha_index":431,"clock_position":431,"value":379},{"alpha_index":801,"clock_position":801,"value":716},{"alpha_index":1171,"clock_position":1171,"value":379},{"alpha_index":1541,"clock_position":1541,"value":351},{"alpha_index":1911,"clock_position":1911,"value":14}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-62","alpha_indices":[62,432,802,1172,1542,1912],"clock_positions":[62,432,802,1172,1542,1912],"native_values":[71,294,71,659,436,659],"rotation_degrees":10.054054054054054,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":62,"clock_position":62,"value":71},{"alpha_index":432,"clock_position":432,"value":294},{"alpha_index":802,"clock_position":802,"value":71},{"alpha_index":1172,"clock_position":1172,"value":659},{"alpha_index":1542,"clock_position":1542,"value":436},{"alpha_index":1912,"clock_position":1912,"value":659}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-63","alpha_indices":[63,433,803,1173,1543,1913],"clock_positions":[63,433,803,1173,1543,1913],"native_values":[422,673,57,308,57,673],"rotation_degrees":10.216216216216216,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":63,"clock_position":63,"value":422},{"alpha_index":433,"clock_position":433,"value":673},{"alpha_index":803,"clock_position":803,"value":57},{"alpha_index":1173,"clock_position":1173,"value":308},{"alpha_index":1543,"clock_position":1543,"value":57},{"alpha_index":1913,"clock_position":1913,"value":673}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-64","alpha_indices":[64,434,804,1174,1544,1914],"clock_positions":[64,434,804,1174,1544,1914],"native_values":[493,237,128,237,493,602],"rotation_degrees":10.378378378378379,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":64,"clock_position":64,"value":493},{"alpha_index":434,"clock_position":434,"value":237},{"alpha_index":804,"clock_position":804,"value":128},{"alpha_index":1174,"clock_position":1174,"value":237},{"alpha_index":1544,"clock_position":1544,"value":493},{"alpha_index":1914,"clock_position":1914,"value":602}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-65","alpha_indices":[65,435,805,1175,1545,1915],"clock_positions":[65,435,805,1175,1545,1915],"native_values":[185,180,185,545,550,545],"rotation_degrees":10.54054054054054,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":65,"clock_position":65,"value":185},{"alpha_index":435,"clock_position":435,"value":180},{"alpha_index":805,"clock_position":805,"value":185},{"alpha_index":1175,"clock_position":1175,"value":545},{"alpha_index":1545,"clock_position":1545,"value":550},{"alpha_index":1915,"clock_position":1915,"value":545}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-66","alpha_indices":[66,436,806,1176,1546,1916],"clock_positions":[66,436,806,1176,1546,1916],"native_values":[678,417,313,52,313,417],"rotation_degrees":10.702702702702704,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":66,"clock_position":66,"value":678},{"alpha_index":436,"clock_position":436,"value":417},{"alpha_index":806,"clock_position":806,"value":313},{"alpha_index":1176,"clock_position":1176,"value":52},{"alpha_index":1546,"clock_position":1546,"value":313},{"alpha_index":1916,"clock_position":1916,"value":417}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-67","alpha_indices":[67,437,807,1177,1547,1917],"clock_positions":[67,437,807,1177,1547,1917],"native_values":[133,597,498,597,133,232],"rotation_degrees":10.864864864864865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":67,"clock_position":67,"value":133},{"alpha_index":437,"clock_position":437,"value":597},{"alpha_index":807,"clock_position":807,"value":498},{"alpha_index":1177,"clock_position":1177,"value":597},{"alpha_index":1547,"clock_position":1547,"value":133},{"alpha_index":1917,"clock_position":1917,"value":232}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-68","alpha_indices":[68,438,808,1178,1548,1918],"clock_positions":[68,438,808,1178,1548,1918],"native_values":[81,284,81,649,446,649],"rotation_degrees":11.027027027027026,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":68,"clock_position":68,"value":81},{"alpha_index":438,"clock_position":438,"value":284},{"alpha_index":808,"clock_position":808,"value":81},{"alpha_index":1178,"clock_position":1178,"value":649},{"alpha_index":1548,"clock_position":1548,"value":446},{"alpha_index":1918,"clock_position":1918,"value":649}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-69","alpha_indices":[69,439,809,1179,1549,1919],"clock_positions":[69,439,809,1179,1549,1919],"native_values":[214,151,579,516,579,151],"rotation_degrees":11.18918918918919,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":69,"clock_position":69,"value":214},{"alpha_index":439,"clock_position":439,"value":151},{"alpha_index":809,"clock_position":809,"value":579},{"alpha_index":1179,"clock_position":1179,"value":516},{"alpha_index":1549,"clock_position":1549,"value":579},{"alpha_index":1919,"clock_position":1919,"value":151}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-70","alpha_indices":[70,440,810,1180,1550,1920],"clock_positions":[70,440,810,1180,1550,1920],"native_values":[295,435,660,435,295,70],"rotation_degrees":11.35135135135135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":70,"clock_position":70,"value":295},{"alpha_index":440,"clock_position":440,"value":435},{"alpha_index":810,"clock_position":810,"value":660},{"alpha_index":1180,"clock_position":1180,"value":435},{"alpha_index":1550,"clock_position":1550,"value":295},{"alpha_index":1920,"clock_position":1920,"value":70}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-71","alpha_indices":[71,441,811,1181,1551,1921],"clock_positions":[71,441,811,1181,1551,1921],"native_values":[509,586,509,221,144,221],"rotation_degrees":11.513513513513514,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":71,"clock_position":71,"value":509},{"alpha_index":441,"clock_position":441,"value":586},{"alpha_index":811,"clock_position":811,"value":509},{"alpha_index":1181,"clock_position":1181,"value":221},{"alpha_index":1551,"clock_position":1551,"value":144},{"alpha_index":1921,"clock_position":1921,"value":221}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-72","alpha_indices":[72,442,812,1182,1552,1922],"clock_positions":[72,442,812,1182,1552,1922],"native_values":[74,291,439,656,439,291],"rotation_degrees":11.675675675675675,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":72,"clock_position":72,"value":74},{"alpha_index":442,"clock_position":442,"value":291},{"alpha_index":812,"clock_position":812,"value":439},{"alpha_index":1182,"clock_position":1182,"value":656},{"alpha_index":1552,"clock_position":1552,"value":439},{"alpha_index":1922,"clock_position":1922,"value":291}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-73","alpha_indices":[73,443,813,1183,1553,1923],"clock_positions":[73,443,813,1183,1553,1923],"native_values":[583,147,218,147,583,512],"rotation_degrees":11.837837837837839,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":73,"clock_position":73,"value":583},{"alpha_index":443,"clock_position":443,"value":147},{"alpha_index":813,"clock_position":813,"value":218},{"alpha_index":1183,"clock_position":1183,"value":147},{"alpha_index":1553,"clock_position":1553,"value":583},{"alpha_index":1923,"clock_position":1923,"value":512}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-74","alpha_indices":[74,444,814,1184,1554,1924],"clock_positions":[74,444,814,1184,1554,1924],"native_values":[657,438,657,73,292,73],"rotation_degrees":12.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":74,"clock_position":74,"value":657},{"alpha_index":444,"clock_position":444,"value":438},{"alpha_index":814,"clock_position":814,"value":657},{"alpha_index":1184,"clock_position":1184,"value":73},{"alpha_index":1554,"clock_position":1554,"value":292},{"alpha_index":1924,"clock_position":1924,"value":73}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-75","alpha_indices":[75,445,815,1185,1555,1925],"clock_positions":[75,445,815,1185,1555,1925],"native_values":[510,585,145,220,145,585],"rotation_degrees":12.162162162162161,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":75,"clock_position":75,"value":510},{"alpha_index":445,"clock_position":445,"value":585},{"alpha_index":815,"clock_position":815,"value":145},{"alpha_index":1185,"clock_position":1185,"value":220},{"alpha_index":1555,"clock_position":1555,"value":145},{"alpha_index":1925,"clock_position":1925,"value":585}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-76","alpha_indices":[76,446,816,1186,1556,1926],"clock_positions":[76,446,816,1186,1556,1926],"native_values":[437,293,72,293,437,658],"rotation_degrees":12.324324324324325,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":76,"clock_position":76,"value":437},{"alpha_index":446,"clock_position":446,"value":293},{"alpha_index":816,"clock_position":816,"value":72},{"alpha_index":1186,"clock_position":1186,"value":293},{"alpha_index":1556,"clock_position":1556,"value":437},{"alpha_index":1926,"clock_position":1926,"value":658}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-77","alpha_indices":[77,447,817,1187,1557,1927],"clock_positions":[77,447,817,1187,1557,1927],"native_values":[217,148,217,513,582,513],"rotation_degrees":12.486486486486486,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":77,"clock_position":77,"value":217},{"alpha_index":447,"clock_position":447,"value":148},{"alpha_index":817,"clock_position":817,"value":217},{"alpha_index":1187,"clock_position":1187,"value":513},{"alpha_index":1557,"clock_position":1557,"value":582},{"alpha_index":1927,"clock_position":1927,"value":513}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-78","alpha_indices":[78,448,818,1188,1558,1928],"clock_positions":[78,448,818,1188,1558,1928],"native_values":[654,441,289,76,289,441],"rotation_degrees":12.64864864864865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":78,"clock_position":78,"value":654},{"alpha_index":448,"clock_position":448,"value":441},{"alpha_index":818,"clock_position":818,"value":289},{"alpha_index":1188,"clock_position":1188,"value":76},{"alpha_index":1558,"clock_position":1558,"value":289},{"alpha_index":1928,"clock_position":1928,"value":441}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-79","alpha_indices":[79,449,819,1189,1559,1929],"clock_positions":[79,449,819,1189,1559,1929],"native_values":[141,589,506,589,141,224],"rotation_degrees":12.81081081081081,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":79,"clock_position":79,"value":141},{"alpha_index":449,"clock_position":449,"value":589},{"alpha_index":819,"clock_position":819,"value":506},{"alpha_index":1189,"clock_position":1189,"value":589},{"alpha_index":1559,"clock_position":1559,"value":141},{"alpha_index":1929,"clock_position":1929,"value":224}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-80","alpha_indices":[80,450,820,1190,1560,1930],"clock_positions":[80,450,820,1190,1560,1930],"native_values":[65,300,65,665,430,665],"rotation_degrees":12.972972972972974,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":80,"clock_position":80,"value":65},{"alpha_index":450,"clock_position":450,"value":300},{"alpha_index":820,"clock_position":820,"value":65},{"alpha_index":1190,"clock_position":1190,"value":665},{"alpha_index":1560,"clock_position":1560,"value":430},{"alpha_index":1930,"clock_position":1930,"value":665}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-81","alpha_indices":[81,451,821,1191,1561,1931],"clock_positions":[81,451,821,1191,1561,1931],"native_values":[206,159,571,524,571,159],"rotation_degrees":13.135135135135135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":81,"clock_position":81,"value":206},{"alpha_index":451,"clock_position":451,"value":159},{"alpha_index":821,"clock_position":821,"value":571},{"alpha_index":1191,"clock_position":1191,"value":524},{"alpha_index":1561,"clock_position":1561,"value":571},{"alpha_index":1931,"clock_position":1931,"value":159}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-82","alpha_indices":[82,452,822,1192,1562,1932],"clock_positions":[82,452,822,1192,1562,1932],"native_values":[271,459,636,459,271,94],"rotation_degrees":13.297297297297296,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":82,"clock_position":82,"value":271},{"alpha_index":452,"clock_position":452,"value":459},{"alpha_index":822,"clock_position":822,"value":636},{"alpha_index":1192,"clock_position":1192,"value":459},{"alpha_index":1562,"clock_position":1562,"value":271},{"alpha_index":1932,"clock_position":1932,"value":94}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-83","alpha_indices":[83,453,823,1193,1563,1933],"clock_positions":[83,453,823,1193,1563,1933],"native_values":[477,618,477,253,112,253],"rotation_degrees":13.45945945945946,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":83,"clock_position":83,"value":477},{"alpha_index":453,"clock_position":453,"value":618},{"alpha_index":823,"clock_position":823,"value":477},{"alpha_index":1193,"clock_position":1193,"value":253},{"alpha_index":1563,"clock_position":1563,"value":112},{"alpha_index":1933,"clock_position":1933,"value":253}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-84","alpha_indices":[84,454,824,1194,1564,1934],"clock_positions":[84,454,824,1194,1564,1934],"native_values":[18,347,383,712,383,347],"rotation_degrees":13.621621621621621,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":84,"clock_position":84,"value":18},{"alpha_index":454,"clock_position":454,"value":347},{"alpha_index":824,"clock_position":824,"value":383},{"alpha_index":1194,"clock_position":1194,"value":712},{"alpha_index":1564,"clock_position":1564,"value":383},{"alpha_index":1934,"clock_position":1934,"value":347}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-85","alpha_indices":[85,455,825,1195,1565,1935],"clock_positions":[85,455,825,1195,1565,1935],"native_values":[495,235,130,235,495,600],"rotation_degrees":13.783783783783784,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":85,"clock_position":85,"value":495},{"alpha_index":455,"clock_position":455,"value":235},{"alpha_index":825,"clock_position":825,"value":130},{"alpha_index":1195,"clock_position":1195,"value":235},{"alpha_index":1565,"clock_position":1565,"value":495},{"alpha_index":1935,"clock_position":1935,"value":600}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-86","alpha_indices":[86,456,826,1196,1566,1936],"clock_positions":[86,456,826,1196,1566,1936],"native_values":[513,582,513,217,148,217],"rotation_degrees":13.945945945945946,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":86,"clock_position":86,"value":513},{"alpha_index":456,"clock_position":456,"value":582},{"alpha_index":826,"clock_position":826,"value":513},{"alpha_index":1196,"clock_position":1196,"value":217},{"alpha_index":1566,"clock_position":1566,"value":148},{"alpha_index":1936,"clock_position":1936,"value":217}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-87","alpha_indices":[87,457,827,1197,1567,1937],"clock_positions":[87,457,827,1197,1567,1937],"native_values":[278,87,643,452,643,87],"rotation_degrees":14.108108108108109,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":87,"clock_position":87,"value":278},{"alpha_index":457,"clock_position":457,"value":87},{"alpha_index":827,"clock_position":827,"value":643},{"alpha_index":1197,"clock_position":1197,"value":452},{"alpha_index":1567,"clock_position":1567,"value":643},{"alpha_index":1937,"clock_position":1937,"value":87}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-88","alpha_indices":[88,458,828,1198,1568,1938],"clock_positions":[88,458,828,1198,1568,1938],"native_values":[61,669,426,669,61,304],"rotation_degrees":14.27027027027027,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":88,"clock_position":88,"value":61},{"alpha_index":458,"clock_position":458,"value":669},{"alpha_index":828,"clock_position":828,"value":426},{"alpha_index":1198,"clock_position":1198,"value":669},{"alpha_index":1568,"clock_position":1568,"value":61},{"alpha_index":1938,"clock_position":1938,"value":304}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-89","alpha_indices":[89,459,829,1199,1569,1939],"clock_positions":[89,459,829,1199,1569,1939],"native_values":[339,26,339,391,704,391],"rotation_degrees":14.432432432432432,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":89,"clock_position":89,"value":339},{"alpha_index":459,"clock_position":459,"value":26},{"alpha_index":829,"clock_position":829,"value":339},{"alpha_index":1199,"clock_position":1199,"value":391},{"alpha_index":1569,"clock_position":1569,"value":704},{"alpha_index":1939,"clock_position":1939,"value":391}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-90","alpha_indices":[90,460,830,1200,1570,1940],"clock_positions":[90,460,830,1200,1570,1940],"native_values":[400,695,35,330,35,695],"rotation_degrees":14.594594594594595,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":90,"clock_position":90,"value":400},{"alpha_index":460,"clock_position":460,"value":695},{"alpha_index":830,"clock_position":830,"value":35},{"alpha_index":1200,"clock_position":1200,"value":330},{"alpha_index":1570,"clock_position":1570,"value":35},{"alpha_index":1940,"clock_position":1940,"value":695}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-91","alpha_indices":[91,461,831,1201,1571,1941],"clock_positions":[91,461,831,1201,1571,1941],"native_values":[9,721,374,721,9,356],"rotation_degrees":14.756756756756756,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":461,"clock_position":461,"value":721},{"alpha_index":831,"clock_position":831,"value":374},{"alpha_index":1201,"clock_position":1201,"value":721},{"alpha_index":1941,"clock_position":1941,"value":356}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-92","alpha_indices":[92,462,832,1202,1572,1942],"clock_positions":[92,462,832,1202,1572,1942],"native_values":[409,686,409,321,44,321],"rotation_degrees":14.91891891891892,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":92,"clock_position":92,"value":409},{"alpha_index":462,"clock_position":462,"value":686},{"alpha_index":832,"clock_position":832,"value":409},{"alpha_index":1202,"clock_position":1202,"value":321},{"alpha_index":1572,"clock_position":1572,"value":44},{"alpha_index":1942,"clock_position":1942,"value":321}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-93","alpha_indices":[93,463,833,1203,1573,1943],"clock_positions":[93,463,833,1203,1573,1943],"native_values":[418,677,53,312,53,677],"rotation_degrees":15.08108108108108,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":93,"clock_position":93,"value":418},{"alpha_index":463,"clock_position":463,"value":677},{"alpha_index":833,"clock_position":833,"value":53},{"alpha_index":1203,"clock_position":1203,"value":312},{"alpha_index":1573,"clock_position":1573,"value":53},{"alpha_index":1943,"clock_position":1943,"value":677}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-94","alpha_indices":[94,464,834,1204,1574,1944],"clock_positions":[94,464,834,1204,1574,1944],"native_values":[97,633,462,633,97,268],"rotation_degrees":15.243243243243244,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":94,"clock_position":94,"value":97},{"alpha_index":464,"clock_position":464,"value":633},{"alpha_index":834,"clock_position":834,"value":462},{"alpha_index":1204,"clock_position":1204,"value":633},{"alpha_index":1574,"clock_position":1574,"value":97},{"alpha_index":1944,"clock_position":1944,"value":268}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-95","alpha_indices":[95,465,835,1205,1575,1945],"clock_positions":[95,465,835,1205,1575,1945],"native_values":[515,580,515,215,150,215],"rotation_degrees":15.405405405405405,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":95,"clock_position":95,"value":515},{"alpha_index":465,"clock_position":465,"value":580},{"alpha_index":835,"clock_position":835,"value":515},{"alpha_index":1205,"clock_position":1205,"value":215},{"alpha_index":1575,"clock_position":1575,"value":150},{"alpha_index":1945,"clock_position":1945,"value":215}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-96","alpha_indices":[96,466,836,1206,1576,1946],"clock_positions":[96,466,836,1206,1576,1946],"native_values":[612,483,247,118,247,483],"rotation_degrees":15.567567567567568,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":96,"clock_position":96,"value":612},{"alpha_index":466,"clock_position":466,"value":483},{"alpha_index":836,"clock_position":836,"value":247},{"alpha_index":1206,"clock_position":1206,"value":118},{"alpha_index":1576,"clock_position":1576,"value":247},{"alpha_index":1946,"clock_position":1946,"value":483}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-97","alpha_indices":[97,467,837,1207,1577,1947],"clock_positions":[97,467,837,1207,1577,1947],"native_values":[397,333,32,333,397,698],"rotation_degrees":15.72972972972973,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":97,"clock_position":97,"value":397},{"alpha_index":467,"clock_position":467,"value":333},{"alpha_index":837,"clock_position":837,"value":32},{"alpha_index":1207,"clock_position":1207,"value":333},{"alpha_index":1577,"clock_position":1577,"value":397},{"alpha_index":1947,"clock_position":1947,"value":698}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-98","alpha_indices":[98,468,838,1208,1578,1948],"clock_positions":[98,468,838,1208,1578,1948],"native_values":[279,86,279,451,644,451],"rotation_degrees":15.891891891891891,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":98,"clock_position":98,"value":279},{"alpha_index":468,"clock_position":468,"value":86},{"alpha_index":838,"clock_position":838,"value":279},{"alpha_index":1208,"clock_position":1208,"value":451},{"alpha_index":1578,"clock_position":1578,"value":644},{"alpha_index":1948,"clock_position":1948,"value":451}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-99","alpha_indices":[99,469,839,1209,1579,1949],"clock_positions":[99,469,839,1209,1579,1949],"native_values":[676,419,311,54,311,419],"rotation_degrees":16.054054054054053,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":99,"clock_position":99,"value":676},{"alpha_index":469,"clock_position":469,"value":419},{"alpha_index":839,"clock_position":839,"value":311},{"alpha_index":1209,"clock_position":1209,"value":54},{"alpha_index":1579,"clock_position":1579,"value":311},{"alpha_index":1949,"clock_position":1949,"value":419}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-100","alpha_indices":[100,470,840,1210,1580,1950],"clock_positions":[100,470,840,1210,1580,1950],"native_values":[225,505,590,505,225,140],"rotation_degrees":16.216216216216218,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":100,"clock_position":100,"value":225},{"alpha_index":470,"clock_position":470,"value":505},{"alpha_index":840,"clock_position":840,"value":590},{"alpha_index":1210,"clock_position":1210,"value":505},{"alpha_index":1580,"clock_position":1580,"value":225},{"alpha_index":1950,"clock_position":1950,"value":140}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-101","alpha_indices":[101,471,841,1211,1581,1951],"clock_positions":[101,471,841,1211,1581,1951],"native_values":[171,194,171,559,536,559],"rotation_degrees":16.37837837837838,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":101,"clock_position":101,"value":171},{"alpha_index":471,"clock_position":471,"value":194},{"alpha_index":841,"clock_position":841,"value":171},{"alpha_index":1211,"clock_position":1211,"value":559},{"alpha_index":1581,"clock_position":1581,"value":536},{"alpha_index":1951,"clock_position":1951,"value":559}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-102","alpha_indices":[102,472,842,1212,1582,1952],"clock_positions":[102,472,842,1212,1582,1952],"native_values":[396,699,31,334,31,699],"rotation_degrees":16.54054054054054,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":102,"clock_position":102,"value":396},{"alpha_index":472,"clock_position":472,"value":699},{"alpha_index":842,"clock_position":842,"value":31},{"alpha_index":1212,"clock_position":1212,"value":334},{"alpha_index":1582,"clock_position":1582,"value":31},{"alpha_index":1952,"clock_position":1952,"value":699}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-103","alpha_indices":[103,473,843,1213,1583,1953],"clock_positions":[103,473,843,1213,1583,1953],"native_values":[567,163,202,163,567,528],"rotation_degrees":16.7027027027027,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":103,"clock_position":103,"value":567},{"alpha_index":473,"clock_position":473,"value":163},{"alpha_index":843,"clock_position":843,"value":202},{"alpha_index":1213,"clock_position":1213,"value":163},{"alpha_index":1583,"clock_position":1583,"value":567},{"alpha_index":1953,"clock_position":1953,"value":528}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-104","alpha_indices":[104,474,844,1214,1584,1954],"clock_positions":[104,474,844,1214,1584,1954],"native_values":[233,132,233,497,598,497],"rotation_degrees":16.864864864864863,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":104,"clock_position":104,"value":233},{"alpha_index":474,"clock_position":474,"value":132},{"alpha_index":844,"clock_position":844,"value":233},{"alpha_index":1214,"clock_position":1214,"value":497},{"alpha_index":1584,"clock_position":1584,"value":598},{"alpha_index":1954,"clock_position":1954,"value":497}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-105","alpha_indices":[105,475,845,1215,1585,1955],"clock_positions":[105,475,845,1215,1585,1955],"native_values":[70,295,435,660,435,295],"rotation_degrees":17.027027027027028,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":105,"clock_position":105,"value":70},{"alpha_index":475,"clock_position":475,"value":295},{"alpha_index":845,"clock_position":845,"value":435},{"alpha_index":1215,"clock_position":1215,"value":660},{"alpha_index":1585,"clock_position":1585,"value":435},{"alpha_index":1955,"clock_position":1955,"value":295}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-106","alpha_indices":[106,476,846,1216,1586,1956],"clock_positions":[106,476,846,1216,1586,1956],"native_values":[303,427,668,427,303,62],"rotation_degrees":17.18918918918919,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":106,"clock_position":106,"value":303},{"alpha_index":476,"clock_position":476,"value":427},{"alpha_index":846,"clock_position":846,"value":668},{"alpha_index":1216,"clock_position":1216,"value":427},{"alpha_index":1586,"clock_position":1586,"value":303},{"alpha_index":1956,"clock_position":1956,"value":62}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-107","alpha_indices":[107,477,847,1217,1587,1957],"clock_positions":[107,477,847,1217,1587,1957],"native_values":[373,722,373,357,8,357],"rotation_degrees":17.35135135135135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":107,"clock_position":107,"value":373},{"alpha_index":477,"clock_position":477,"value":722},{"alpha_index":847,"clock_position":847,"value":373},{"alpha_index":1217,"clock_position":1217,"value":357},{"alpha_index":1587,"clock_position":1587,"value":8},{"alpha_index":1957,"clock_position":1957,"value":357}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-108","alpha_indices":[108,478,848,1218,1588,1958],"clock_positions":[108,478,848,1218,1588,1958],"native_values":[676,419,311,54,311,419],"rotation_degrees":17.513513513513512,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":108,"clock_position":108,"value":676},{"alpha_index":478,"clock_position":478,"value":419},{"alpha_index":848,"clock_position":848,"value":311},{"alpha_index":1218,"clock_position":1218,"value":54},{"alpha_index":1588,"clock_position":1588,"value":311},{"alpha_index":1958,"clock_position":1958,"value":419}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-109","alpha_indices":[109,479,849,1219,1589,1959],"clock_positions":[109,479,849,1219,1589,1959],"native_values":[319,411,684,411,319,46],"rotation_degrees":17.675675675675677,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":109,"clock_position":109,"value":319},{"alpha_index":479,"clock_position":479,"value":411},{"alpha_index":849,"clock_position":849,"value":684},{"alpha_index":1219,"clock_position":1219,"value":411},{"alpha_index":1589,"clock_position":1589,"value":319},{"alpha_index":1959,"clock_position":1959,"value":46}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-110","alpha_indices":[110,480,850,1220,1590,1960],"clock_positions":[110,480,850,1220,1590,1960],"native_values":[265,100,265,465,630,465],"rotation_degrees":17.83783783783784,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":110,"clock_position":110,"value":265},{"alpha_index":480,"clock_position":480,"value":100},{"alpha_index":850,"clock_position":850,"value":265},{"alpha_index":1220,"clock_position":1220,"value":465},{"alpha_index":1590,"clock_position":1590,"value":630},{"alpha_index":1960,"clock_position":1960,"value":465}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-111","alpha_indices":[111,481,851,1221,1591,1961],"clock_positions":[111,481,851,1221,1591,1961],"native_values":[584,511,219,146,219,511],"rotation_degrees":18.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":111,"clock_position":111,"value":584},{"alpha_index":481,"clock_position":481,"value":511},{"alpha_index":851,"clock_position":851,"value":219},{"alpha_index":1221,"clock_position":1221,"value":146},{"alpha_index":1591,"clock_position":1591,"value":219},{"alpha_index":1961,"clock_position":1961,"value":511}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-112","alpha_indices":[112,482,852,1222,1592,1962],"clock_positions":[112,482,852,1222,1592,1962],"native_values":[119,611,484,611,119,246],"rotation_degrees":18.16216216216216,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":112,"clock_position":112,"value":119},{"alpha_index":482,"clock_position":482,"value":611},{"alpha_index":852,"clock_position":852,"value":484},{"alpha_index":1222,"clock_position":1222,"value":611},{"alpha_index":1592,"clock_position":1592,"value":119},{"alpha_index":1962,"clock_position":1962,"value":246}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-113","alpha_indices":[113,483,853,1223,1593,1963],"clock_positions":[113,483,853,1223,1593,1963],"native_values":[703,392,703,27,338,27],"rotation_degrees":18.324324324324323,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":113,"clock_position":113,"value":703},{"alpha_index":483,"clock_position":483,"value":392},{"alpha_index":853,"clock_position":853,"value":703},{"alpha_index":1223,"clock_position":1223,"value":27},{"alpha_index":1593,"clock_position":1593,"value":338},{"alpha_index":1963,"clock_position":1963,"value":27}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-114","alpha_indices":[114,484,854,1224,1594,1964],"clock_positions":[114,484,854,1224,1594,1964],"native_values":[92,273,457,638,457,273],"rotation_degrees":18.486486486486488,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":114,"clock_position":114,"value":92},{"alpha_index":484,"clock_position":484,"value":273},{"alpha_index":854,"clock_position":854,"value":457},{"alpha_index":1224,"clock_position":1224,"value":638},{"alpha_index":1594,"clock_position":1594,"value":457},{"alpha_index":1964,"clock_position":1964,"value":273}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-115","alpha_indices":[115,485,855,1225,1595,1965],"clock_positions":[115,485,855,1225,1595,1965],"native_values":[65,665,430,665,65,300],"rotation_degrees":18.64864864864865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":115,"clock_position":115,"value":65},{"alpha_index":485,"clock_position":485,"value":665},{"alpha_index":855,"clock_position":855,"value":430},{"alpha_index":1225,"clock_position":1225,"value":665},{"alpha_index":1595,"clock_position":1595,"value":65},{"alpha_index":1965,"clock_position":1965,"value":300}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-116","alpha_indices":[116,486,856,1226,1596,1966],"clock_positions":[116,486,856,1226,1596,1966],"native_values":[157,208,157,573,522,573],"rotation_degrees":18.81081081081081,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":116,"clock_position":116,"value":157},{"alpha_index":486,"clock_position":486,"value":208},{"alpha_index":856,"clock_position":856,"value":157},{"alpha_index":1226,"clock_position":1226,"value":573},{"alpha_index":1596,"clock_position":1596,"value":522},{"alpha_index":1966,"clock_position":1966,"value":573}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-117","alpha_indices":[117,487,857,1227,1597,1967],"clock_positions":[117,487,857,1227,1597,1967],"native_values":[222,143,587,508,587,143],"rotation_degrees":18.972972972972972,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":117,"clock_position":117,"value":222},{"alpha_index":487,"clock_position":487,"value":143},{"alpha_index":857,"clock_position":857,"value":587},{"alpha_index":1227,"clock_position":1227,"value":508},{"alpha_index":1597,"clock_position":1597,"value":587},{"alpha_index":1967,"clock_position":1967,"value":143}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-118","alpha_indices":[118,488,858,1228,1598,1968],"clock_positions":[118,488,858,1228,1598,1968],"native_values":[379,351,14,351,379,716],"rotation_degrees":19.135135135135137,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":118,"clock_position":118,"value":379},{"alpha_index":488,"clock_position":488,"value":351},{"alpha_index":858,"clock_position":858,"value":14},{"alpha_index":1228,"clock_position":1228,"value":351},{"alpha_index":1598,"clock_position":1598,"value":379},{"alpha_index":1968,"clock_position":1968,"value":716}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-119","alpha_indices":[119,489,859,1229,1599,1969],"clock_positions":[119,489,859,1229,1599,1969],"native_values":[601,494,601,129,236,129],"rotation_degrees":19.2972972972973,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":119,"clock_position":119,"value":601},{"alpha_index":489,"clock_position":489,"value":494},{"alpha_index":859,"clock_position":859,"value":601},{"alpha_index":1229,"clock_position":1229,"value":129},{"alpha_index":1599,"clock_position":1599,"value":236},{"alpha_index":1969,"clock_position":1969,"value":129}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-120","alpha_indices":[120,490,860,1230,1600,1970],"clock_positions":[120,490,860,1230,1600,1970],"native_values":[250,115,615,480,615,115],"rotation_degrees":19.45945945945946,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":120,"clock_position":120,"value":250},{"alpha_index":490,"clock_position":490,"value":115},{"alpha_index":860,"clock_position":860,"value":615},{"alpha_index":1230,"clock_position":1230,"value":480},{"alpha_index":1600,"clock_position":1600,"value":615},{"alpha_index":1970,"clock_position":1970,"value":115}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-121","alpha_indices":[121,491,861,1231,1601,1971],"clock_positions":[121,491,861,1231,1601,1971],"native_values":[121,609,486,609,121,244],"rotation_degrees":19.62162162162162,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":121,"clock_position":121,"value":121},{"alpha_index":491,"clock_position":491,"value":609},{"alpha_index":861,"clock_position":861,"value":486},{"alpha_index":1231,"clock_position":1231,"value":609},{"alpha_index":1601,"clock_position":1601,"value":121},{"alpha_index":1971,"clock_position":1971,"value":244}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-122","alpha_indices":[122,492,862,1232,1602,1972],"clock_positions":[122,492,862,1232,1602,1972],"native_values":[371,724,371,359,6,359],"rotation_degrees":19.783783783783782,"missing_required_values":[3,9],"failing_nodes":[{"alpha_index":122,"clock_position":122,"value":371},{"alpha_index":492,"clock_position":492,"value":724},{"alpha_index":862,"clock_position":862,"value":371},{"alpha_index":1232,"clock_position":1232,"value":359},{"alpha_index":1972,"clock_position":1972,"value":359}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-123","alpha_indices":[123,493,863,1233,1603,1973],"clock_positions":[123,493,863,1233,1603,1973],"native_values":[492,603,127,238,127,603],"rotation_degrees":19.945945945945947,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":123,"clock_position":123,"value":492},{"alpha_index":493,"clock_position":493,"value":603},{"alpha_index":863,"clock_position":863,"value":127},{"alpha_index":1233,"clock_position":1233,"value":238},{"alpha_index":1603,"clock_position":1603,"value":127},{"alpha_index":1973,"clock_position":1973,"value":603}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-124","alpha_indices":[124,494,864,1234,1604,1974],"clock_positions":[124,494,864,1234,1604,1974],"native_values":[133,597,498,597,133,232],"rotation_degrees":20.10810810810811,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":124,"clock_position":124,"value":133},{"alpha_index":494,"clock_position":494,"value":597},{"alpha_index":864,"clock_position":864,"value":498},{"alpha_index":1234,"clock_position":1234,"value":597},{"alpha_index":1604,"clock_position":1604,"value":133},{"alpha_index":1974,"clock_position":1974,"value":232}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-125","alpha_indices":[125,495,865,1235,1605,1975],"clock_positions":[125,495,865,1235,1605,1975],"native_values":[625,470,625,105,260,105],"rotation_degrees":20.27027027027027,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":125,"clock_position":125,"value":625},{"alpha_index":495,"clock_position":495,"value":470},{"alpha_index":865,"clock_position":865,"value":625},{"alpha_index":1235,"clock_position":1235,"value":105},{"alpha_index":1605,"clock_position":1605,"value":260},{"alpha_index":1975,"clock_position":1975,"value":105}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-126","alpha_indices":[126,496,866,1236,1606,1976],"clock_positions":[126,496,866,1236,1606,1976],"native_values":[28,337,393,702,393,337],"rotation_degrees":20.43243243243243,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":126,"clock_position":126,"value":28},{"alpha_index":496,"clock_position":496,"value":337},{"alpha_index":866,"clock_position":866,"value":393},{"alpha_index":1236,"clock_position":1236,"value":702},{"alpha_index":1606,"clock_position":1606,"value":393},{"alpha_index":1976,"clock_position":1976,"value":337}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-127","alpha_indices":[127,497,867,1237,1607,1977],"clock_positions":[127,497,867,1237,1607,1977],"native_values":[653,77,288,77,653,442],"rotation_degrees":20.594594594594593,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":127,"clock_position":127,"value":653},{"alpha_index":497,"clock_position":497,"value":77},{"alpha_index":867,"clock_position":867,"value":288},{"alpha_index":1237,"clock_position":1237,"value":77},{"alpha_index":1607,"clock_position":1607,"value":653},{"alpha_index":1977,"clock_position":1977,"value":442}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-128","alpha_indices":[128,498,868,1238,1608,1978],"clock_positions":[128,498,868,1238,1608,1978],"native_values":[681,414,681,49,316,49],"rotation_degrees":20.756756756756758,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":128,"clock_position":128,"value":681},{"alpha_index":498,"clock_position":498,"value":414},{"alpha_index":868,"clock_position":868,"value":681},{"alpha_index":1238,"clock_position":1238,"value":49},{"alpha_index":1608,"clock_position":1608,"value":316},{"alpha_index":1978,"clock_position":1978,"value":49}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-129","alpha_indices":[129,499,869,1239,1609,1979],"clock_positions":[129,499,869,1239,1609,1979],"native_values":[604,491,239,126,239,491],"rotation_degrees":20.91891891891892,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":129,"clock_position":129,"value":604},{"alpha_index":499,"clock_position":499,"value":491},{"alpha_index":869,"clock_position":869,"value":239},{"alpha_index":1239,"clock_position":1239,"value":126},{"alpha_index":1609,"clock_position":1609,"value":239},{"alpha_index":1979,"clock_position":1979,"value":491}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-130","alpha_indices":[130,500,870,1240,1610,1980],"clock_positions":[130,500,870,1240,1610,1980],"native_values":[555,175,190,175,555,540],"rotation_degrees":21.08108108108108,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":130,"clock_position":130,"value":555},{"alpha_index":500,"clock_position":500,"value":175},{"alpha_index":870,"clock_position":870,"value":190},{"alpha_index":1240,"clock_position":1240,"value":175},{"alpha_index":1610,"clock_position":1610,"value":555},{"alpha_index":1980,"clock_position":1980,"value":540}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-131","alpha_indices":[131,501,871,1241,1611,1981],"clock_positions":[131,501,871,1241,1611,1981],"native_values":[429,666,429,301,64,301],"rotation_degrees":21.243243243243242,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":131,"clock_position":131,"value":429},{"alpha_index":501,"clock_position":501,"value":666},{"alpha_index":871,"clock_position":871,"value":429},{"alpha_index":1241,"clock_position":1241,"value":301},{"alpha_index":1611,"clock_position":1611,"value":64},{"alpha_index":1981,"clock_position":1981,"value":301}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-132","alpha_indices":[132,502,872,1242,1612,1982],"clock_positions":[132,502,872,1242,1612,1982],"native_values":[254,111,619,476,619,111],"rotation_degrees":21.405405405405407,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":132,"clock_position":132,"value":254},{"alpha_index":502,"clock_position":502,"value":111},{"alpha_index":872,"clock_position":872,"value":619},{"alpha_index":1242,"clock_position":1242,"value":476},{"alpha_index":1612,"clock_position":1612,"value":619},{"alpha_index":1982,"clock_position":1982,"value":111}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-133","alpha_indices":[133,503,873,1243,1613,1983],"clock_positions":[133,503,873,1243,1613,1983],"native_values":[683,47,318,47,683,412],"rotation_degrees":21.56756756756757,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":133,"clock_position":133,"value":683},{"alpha_index":503,"clock_position":503,"value":47},{"alpha_index":873,"clock_position":873,"value":318},{"alpha_index":1243,"clock_position":1243,"value":47},{"alpha_index":1613,"clock_position":1613,"value":683},{"alpha_index":1983,"clock_position":1983,"value":412}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-134","alpha_indices":[134,504,874,1244,1614,1984],"clock_positions":[134,504,874,1244,1614,1984],"native_values":[207,158,207,523,572,523],"rotation_degrees":21.72972972972973,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":134,"clock_position":134,"value":207},{"alpha_index":504,"clock_position":504,"value":158},{"alpha_index":874,"clock_position":874,"value":207},{"alpha_index":1244,"clock_position":1244,"value":523},{"alpha_index":1614,"clock_position":1614,"value":572},{"alpha_index":1984,"clock_position":1984,"value":523}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-135","alpha_indices":[135,505,875,1245,1615,1985],"clock_positions":[135,505,875,1245,1615,1985],"native_values":[160,205,525,570,525,205],"rotation_degrees":21.89189189189189,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":135,"clock_position":135,"value":160},{"alpha_index":505,"clock_position":505,"value":205},{"alpha_index":875,"clock_position":875,"value":525},{"alpha_index":1245,"clock_position":1245,"value":570},{"alpha_index":1615,"clock_position":1615,"value":525},{"alpha_index":1985,"clock_position":1985,"value":205}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-136","alpha_indices":[136,506,876,1246,1616,1986],"clock_positions":[136,506,876,1246,1616,1986],"native_values":[367,363,2,363,367,728],"rotation_degrees":22.054054054054053,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":136,"clock_position":136,"value":367},{"alpha_index":506,"clock_position":506,"value":363},{"alpha_index":876,"clock_position":876,"value":2},{"alpha_index":1246,"clock_position":1246,"value":363},{"alpha_index":1616,"clock_position":1616,"value":367},{"alpha_index":1986,"clock_position":1986,"value":728}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-137","alpha_indices":[137,507,877,1247,1617,1987],"clock_positions":[137,507,877,1247,1617,1987],"native_values":[527,568,527,203,162,203],"rotation_degrees":22.216216216216218,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":137,"clock_position":137,"value":527},{"alpha_index":507,"clock_position":507,"value":568},{"alpha_index":877,"clock_position":877,"value":527},{"alpha_index":1247,"clock_position":1247,"value":203},{"alpha_index":1617,"clock_position":1617,"value":162},{"alpha_index":1987,"clock_position":1987,"value":203}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-138","alpha_indices":[138,508,878,1248,1618,1988],"clock_positions":[138,508,878,1248,1618,1988],"native_values":[164,201,529,566,529,201],"rotation_degrees":22.37837837837838,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":138,"clock_position":138,"value":164},{"alpha_index":508,"clock_position":508,"value":201},{"alpha_index":878,"clock_position":878,"value":529},{"alpha_index":1248,"clock_position":1248,"value":566},{"alpha_index":1618,"clock_position":1618,"value":529},{"alpha_index":1988,"clock_position":1988,"value":201}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-139","alpha_indices":[139,509,879,1249,1619,1989],"clock_positions":[139,509,879,1249,1619,1989],"native_values":[691,39,326,39,691,404],"rotation_degrees":22.54054054054054,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":139,"clock_position":139,"value":691},{"alpha_index":509,"clock_position":509,"value":39},{"alpha_index":879,"clock_position":879,"value":326},{"alpha_index":1249,"clock_position":1249,"value":39},{"alpha_index":1619,"clock_position":1619,"value":691},{"alpha_index":1989,"clock_position":1989,"value":404}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-140","alpha_indices":[140,510,880,1250,1620,1990],"clock_positions":[140,510,880,1250,1620,1990],"native_values":[125,240,125,605,490,605],"rotation_degrees":22.7027027027027,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":140,"clock_position":140,"value":125},{"alpha_index":510,"clock_position":510,"value":240},{"alpha_index":880,"clock_position":880,"value":125},{"alpha_index":1250,"clock_position":1250,"value":605},{"alpha_index":1620,"clock_position":1620,"value":490},{"alpha_index":1990,"clock_position":1990,"value":605}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-141","alpha_indices":[141,511,881,1251,1621,1991],"clock_positions":[141,511,881,1251,1621,1991],"native_values":[86,279,451,644,451,279],"rotation_degrees":22.864864864864863,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":141,"clock_position":141,"value":86},{"alpha_index":511,"clock_position":511,"value":279},{"alpha_index":881,"clock_position":881,"value":451},{"alpha_index":1251,"clock_position":1251,"value":644},{"alpha_index":1621,"clock_position":1621,"value":451},{"alpha_index":1991,"clock_position":1991,"value":279}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-142","alpha_indices":[142,512,882,1252,1622,1992],"clock_positions":[142,512,882,1252,1622,1992],"native_values":[211,519,576,519,211,154],"rotation_degrees":23.027027027027028,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":142,"clock_position":142,"value":211},{"alpha_index":512,"clock_position":512,"value":519},{"alpha_index":882,"clock_position":882,"value":576},{"alpha_index":1252,"clock_position":1252,"value":519},{"alpha_index":1622,"clock_position":1622,"value":211},{"alpha_index":1992,"clock_position":1992,"value":154}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-143","alpha_indices":[143,513,883,1253,1623,1993],"clock_positions":[143,513,883,1253,1623,1993],"native_values":[297,68,297,433,662,433],"rotation_degrees":23.18918918918919,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":143,"clock_position":143,"value":297},{"alpha_index":513,"clock_position":513,"value":68},{"alpha_index":883,"clock_position":883,"value":297},{"alpha_index":1253,"clock_position":1253,"value":433},{"alpha_index":1623,"clock_position":1623,"value":662},{"alpha_index":1993,"clock_position":1993,"value":433}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-144","alpha_indices":[144,514,884,1254,1624,1994],"clock_positions":[144,514,884,1254,1624,1994],"native_values":[508,587,143,222,143,587],"rotation_degrees":23.35135135135135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":144,"clock_position":144,"value":508},{"alpha_index":514,"clock_position":514,"value":587},{"alpha_index":884,"clock_position":884,"value":143},{"alpha_index":1254,"clock_position":1254,"value":222},{"alpha_index":1624,"clock_position":1624,"value":143},{"alpha_index":1994,"clock_position":1994,"value":587}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-145","alpha_indices":[145,515,885,1255,1625,1995],"clock_positions":[145,515,885,1255,1625,1995],"native_values":[75,655,440,655,75,290],"rotation_degrees":23.513513513513512,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":145,"clock_position":145,"value":75},{"alpha_index":515,"clock_position":515,"value":655},{"alpha_index":885,"clock_position":885,"value":440},{"alpha_index":1255,"clock_position":1255,"value":655},{"alpha_index":1625,"clock_position":1625,"value":75},{"alpha_index":1995,"clock_position":1995,"value":290}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-146","alpha_indices":[146,516,886,1256,1626,1996],"clock_positions":[146,516,886,1256,1626,1996],"native_values":[583,512,583,147,218,147],"rotation_degrees":23.675675675675677,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":146,"clock_position":146,"value":583},{"alpha_index":516,"clock_position":516,"value":512},{"alpha_index":886,"clock_position":886,"value":583},{"alpha_index":1256,"clock_position":1256,"value":147},{"alpha_index":1626,"clock_position":1626,"value":218},{"alpha_index":1996,"clock_position":1996,"value":147}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-147","alpha_indices":[147,517,887,1257,1627,1997],"clock_positions":[147,517,887,1257,1627,1997],"native_values":[658,437,293,72,293,437],"rotation_degrees":23.83783783783784,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":147,"clock_position":147,"value":658},{"alpha_index":517,"clock_position":517,"value":437},{"alpha_index":887,"clock_position":887,"value":293},{"alpha_index":1257,"clock_position":1257,"value":72},{"alpha_index":1627,"clock_position":1627,"value":293},{"alpha_index":1997,"clock_position":1997,"value":437}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-148","alpha_indices":[148,518,888,1258,1628,1998],"clock_positions":[148,518,888,1258,1628,1998],"native_values":[511,219,146,219,511,584],"rotation_degrees":24.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":148,"clock_position":148,"value":511},{"alpha_index":518,"clock_position":518,"value":219},{"alpha_index":888,"clock_position":888,"value":146},{"alpha_index":1258,"clock_position":1258,"value":219},{"alpha_index":1628,"clock_position":1628,"value":511},{"alpha_index":1998,"clock_position":1998,"value":584}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-149","alpha_indices":[149,519,889,1259,1629,1999],"clock_positions":[149,519,889,1259,1629,1999],"native_values":[439,656,439,291,74,291],"rotation_degrees":24.16216216216216,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":149,"clock_position":149,"value":439},{"alpha_index":519,"clock_position":519,"value":656},{"alpha_index":889,"clock_position":889,"value":439},{"alpha_index":1259,"clock_position":1259,"value":291},{"alpha_index":1629,"clock_position":1629,"value":74},{"alpha_index":1999,"clock_position":1999,"value":291}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-150","alpha_indices":[150,520,890,1260,1630,2000],"clock_positions":[150,520,890,1260,1630,2000],"native_values":[220,145,585,510,585,145],"rotation_degrees":24.324324324324323,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":150,"clock_position":150,"value":220},{"alpha_index":520,"clock_position":520,"value":145},{"alpha_index":890,"clock_position":890,"value":585},{"alpha_index":1260,"clock_position":1260,"value":510},{"alpha_index":1630,"clock_position":1630,"value":585},{"alpha_index":2000,"clock_position":2000,"value":145}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-151","alpha_indices":[151,521,891,1261,1631,2001],"clock_positions":[151,521,891,1261,1631,2001],"native_values":[659,71,294,71,659,436],"rotation_degrees":24.486486486486488,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":151,"clock_position":151,"value":659},{"alpha_index":521,"clock_position":521,"value":71},{"alpha_index":891,"clock_position":891,"value":294},{"alpha_index":1261,"clock_position":1261,"value":71},{"alpha_index":1631,"clock_position":1631,"value":659},{"alpha_index":2001,"clock_position":2001,"value":436}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-152","alpha_indices":[152,522,892,1262,1632,2002],"clock_positions":[152,522,892,1262,1632,2002],"native_values":[149,216,149,581,514,581],"rotation_degrees":24.64864864864865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":152,"clock_position":152,"value":149},{"alpha_index":522,"clock_position":522,"value":216},{"alpha_index":892,"clock_position":892,"value":149},{"alpha_index":1262,"clock_position":1262,"value":581},{"alpha_index":1632,"clock_position":1632,"value":514},{"alpha_index":2002,"clock_position":2002,"value":581}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-153","alpha_indices":[153,523,893,1263,1633,2003],"clock_positions":[153,523,893,1263,1633,2003],"native_values":[78,287,443,652,443,287],"rotation_degrees":24.81081081081081,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":153,"clock_position":153,"value":78},{"alpha_index":523,"clock_position":523,"value":287},{"alpha_index":893,"clock_position":893,"value":443},{"alpha_index":1263,"clock_position":1263,"value":652},{"alpha_index":1633,"clock_position":1633,"value":443},{"alpha_index":2003,"clock_position":2003,"value":287}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-154","alpha_indices":[154,524,894,1264,1634,2004],"clock_positions":[154,524,894,1264,1634,2004],"native_values":[227,503,592,503,227,138],"rotation_degrees":24.972972972972972,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":154,"clock_position":154,"value":227},{"alpha_index":524,"clock_position":524,"value":503},{"alpha_index":894,"clock_position":894,"value":592},{"alpha_index":1264,"clock_position":1264,"value":503},{"alpha_index":1634,"clock_position":1634,"value":227},{"alpha_index":2004,"clock_position":2004,"value":138}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-155","alpha_indices":[155,525,895,1265,1635,2005],"clock_positions":[155,525,895,1265,1635,2005],"native_values":[305,60,305,425,670,425],"rotation_degrees":25.135135135135137,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":155,"clock_position":155,"value":305},{"alpha_index":525,"clock_position":525,"value":60},{"alpha_index":895,"clock_position":895,"value":305},{"alpha_index":1265,"clock_position":1265,"value":425},{"alpha_index":1635,"clock_position":1635,"value":670},{"alpha_index":2005,"clock_position":2005,"value":425}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-156","alpha_indices":[156,526,896,1266,1636,2006],"clock_positions":[156,526,896,1266,1636,2006],"native_values":[532,563,167,198,167,563],"rotation_degrees":25.2972972972973,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":156,"clock_position":156,"value":532},{"alpha_index":526,"clock_position":526,"value":563},{"alpha_index":896,"clock_position":896,"value":167},{"alpha_index":1266,"clock_position":1266,"value":198},{"alpha_index":1636,"clock_position":1636,"value":167},{"alpha_index":2006,"clock_position":2006,"value":563}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-157","alpha_indices":[157,527,897,1267,1637,2007],"clock_positions":[157,527,897,1267,1637,2007],"native_values":[107,623,472,623,107,258],"rotation_degrees":25.45945945945946,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":157,"clock_position":157,"value":107},{"alpha_index":527,"clock_position":527,"value":623},{"alpha_index":897,"clock_position":897,"value":472},{"alpha_index":1267,"clock_position":1267,"value":623},{"alpha_index":1637,"clock_position":1637,"value":107},{"alpha_index":2007,"clock_position":2007,"value":258}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-158","alpha_indices":[158,528,898,1268,1638,2008],"clock_positions":[158,528,898,1268,1638,2008],"native_values":[639,456,639,91,274,91],"rotation_degrees":25.62162162162162,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":158,"clock_position":158,"value":639},{"alpha_index":528,"clock_position":528,"value":456},{"alpha_index":898,"clock_position":898,"value":639},{"alpha_index":1268,"clock_position":1268,"value":91},{"alpha_index":1638,"clock_position":1638,"value":274},{"alpha_index":2008,"clock_position":2008,"value":91}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-159","alpha_indices":[159,529,899,1269,1639,2009],"clock_positions":[159,529,899,1269,1639,2009],"native_values":[16,349,381,714,381,349],"rotation_degrees":25.783783783783782,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":159,"clock_position":159,"value":16},{"alpha_index":529,"clock_position":529,"value":349},{"alpha_index":899,"clock_position":899,"value":381},{"alpha_index":1269,"clock_position":1269,"value":714},{"alpha_index":1639,"clock_position":1639,"value":381},{"alpha_index":2009,"clock_position":2009,"value":349}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-160","alpha_indices":[160,530,900,1270,1640,2010],"clock_positions":[160,530,900,1270,1640,2010],"native_values":[655,75,290,75,655,440],"rotation_degrees":25.945945945945947,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":160,"clock_position":160,"value":655},{"alpha_index":530,"clock_position":530,"value":75},{"alpha_index":900,"clock_position":900,"value":290},{"alpha_index":1270,"clock_position":1270,"value":75},{"alpha_index":1640,"clock_position":1640,"value":655},{"alpha_index":2010,"clock_position":2010,"value":440}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-161","alpha_indices":[161,531,901,1271,1641,2011],"clock_positions":[161,531,901,1271,1641,2011],"native_values":[671,424,671,59,306,59],"rotation_degrees":26.10810810810811,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":161,"clock_position":161,"value":671},{"alpha_index":531,"clock_position":531,"value":424},{"alpha_index":901,"clock_position":901,"value":671},{"alpha_index":1271,"clock_position":1271,"value":59},{"alpha_index":1641,"clock_position":1641,"value":306},{"alpha_index":2011,"clock_position":2011,"value":59}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-162","alpha_indices":[162,532,902,1272,1642,2012],"clock_positions":[162,532,902,1272,1642,2012],"native_values":[596,499,231,134,231,499],"rotation_degrees":26.27027027027027,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":162,"clock_position":162,"value":596},{"alpha_index":532,"clock_position":532,"value":499},{"alpha_index":902,"clock_position":902,"value":231},{"alpha_index":1272,"clock_position":1272,"value":134},{"alpha_index":1642,"clock_position":1642,"value":231},{"alpha_index":2012,"clock_position":2012,"value":499}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-163","alpha_indices":[163,533,903,1273,1643,2013],"clock_positions":[163,533,903,1273,1643,2013],"native_values":[537,193,172,193,537,558],"rotation_degrees":26.43243243243243,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":163,"clock_position":163,"value":537},{"alpha_index":533,"clock_position":533,"value":193},{"alpha_index":903,"clock_position":903,"value":172},{"alpha_index":1273,"clock_position":1273,"value":193},{"alpha_index":1643,"clock_position":1643,"value":537},{"alpha_index":2013,"clock_position":2013,"value":558}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-164","alpha_indices":[164,534,904,1274,1644,2014],"clock_positions":[164,534,904,1274,1644,2014],"native_values":[403,692,403,327,38,327],"rotation_degrees":26.594594594594593,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":164,"clock_position":164,"value":403},{"alpha_index":534,"clock_position":534,"value":692},{"alpha_index":904,"clock_position":904,"value":403},{"alpha_index":1274,"clock_position":1274,"value":327},{"alpha_index":1644,"clock_position":1644,"value":38},{"alpha_index":2014,"clock_position":2014,"value":327}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-165","alpha_indices":[165,535,905,1275,1645,2015],"clock_positions":[165,535,905,1275,1645,2015],"native_values":[210,155,575,520,575,155],"rotation_degrees":26.756756756756758,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":165,"clock_position":165,"value":210},{"alpha_index":535,"clock_position":535,"value":155},{"alpha_index":905,"clock_position":905,"value":575},{"alpha_index":1275,"clock_position":1275,"value":520},{"alpha_index":1645,"clock_position":1645,"value":575},{"alpha_index":2015,"clock_position":2015,"value":155}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-166","alpha_indices":[166,536,906,1276,1646,2016],"clock_positions":[166,536,906,1276,1646,2016],"native_values":[613,117,248,117,613,482],"rotation_degrees":26.91891891891892,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":166,"clock_position":166,"value":613},{"alpha_index":536,"clock_position":536,"value":117},{"alpha_index":906,"clock_position":906,"value":248},{"alpha_index":1276,"clock_position":1276,"value":117},{"alpha_index":1646,"clock_position":1646,"value":613},{"alpha_index":2016,"clock_position":2016,"value":482}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-167","alpha_indices":[167,537,907,1277,1647,2017],"clock_positions":[167,537,907,1277,1647,2017],"native_values":[93,272,93,637,458,637],"rotation_degrees":27.08108108108108,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":167,"clock_position":167,"value":93},{"alpha_index":537,"clock_position":537,"value":272},{"alpha_index":907,"clock_position":907,"value":93},{"alpha_index":1277,"clock_position":1277,"value":637},{"alpha_index":1647,"clock_position":1647,"value":458},{"alpha_index":2017,"clock_position":2017,"value":637}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-168","alpha_indices":[168,538,908,1278,1648,2018],"clock_positions":[168,538,908,1278,1648,2018],"native_values":[706,389,341,24,341,389],"rotation_degrees":27.243243243243242,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":168,"clock_position":168,"value":706},{"alpha_index":538,"clock_position":538,"value":389},{"alpha_index":908,"clock_position":908,"value":341},{"alpha_index":1278,"clock_position":1278,"value":24},{"alpha_index":1648,"clock_position":1648,"value":341},{"alpha_index":2018,"clock_position":2018,"value":389}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-169","alpha_indices":[169,539,909,1279,1649,2019],"clock_positions":[169,539,909,1279,1649,2019],"native_values":[69,661,434,661,69,296],"rotation_degrees":27.405405405405407,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":169,"clock_position":169,"value":69},{"alpha_index":539,"clock_position":539,"value":661},{"alpha_index":909,"clock_position":909,"value":434},{"alpha_index":1279,"clock_position":1279,"value":661},{"alpha_index":1649,"clock_position":1649,"value":69},{"alpha_index":2019,"clock_position":2019,"value":296}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-170","alpha_indices":[170,540,910,1280,1650,2020],"clock_positions":[170,540,910,1280,1650,2020],"native_values":[45,320,45,685,410,685],"rotation_degrees":27.56756756756757,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":170,"clock_position":170,"value":45},{"alpha_index":540,"clock_position":540,"value":320},{"alpha_index":910,"clock_position":910,"value":45},{"alpha_index":1280,"clock_position":1280,"value":685},{"alpha_index":1650,"clock_position":1650,"value":410},{"alpha_index":2020,"clock_position":2020,"value":685}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-171","alpha_indices":[171,541,911,1281,1651,2021],"clock_positions":[171,541,911,1281,1651,2021],"native_values":[114,251,479,616,479,251],"rotation_degrees":27.72972972972973,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":171,"clock_position":171,"value":114},{"alpha_index":541,"clock_position":541,"value":251},{"alpha_index":911,"clock_position":911,"value":479},{"alpha_index":1281,"clock_position":1281,"value":616},{"alpha_index":1651,"clock_position":1651,"value":479},{"alpha_index":2021,"clock_position":2021,"value":251}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-172","alpha_indices":[172,542,912,1282,1652,2022],"clock_positions":[172,542,912,1282,1652,2022],"native_values":[159,571,524,571,159,206],"rotation_degrees":27.89189189189189,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":172,"clock_position":172,"value":159},{"alpha_index":542,"clock_position":542,"value":571},{"alpha_index":912,"clock_position":912,"value":524},{"alpha_index":1282,"clock_position":1282,"value":571},{"alpha_index":1652,"clock_position":1652,"value":159},{"alpha_index":2022,"clock_position":2022,"value":206}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-173","alpha_indices":[173,543,913,1283,1653,2023],"clock_positions":[173,543,913,1283,1653,2023],"native_values":[273,92,273,457,638,457],"rotation_degrees":28.054054054054053,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":173,"clock_position":173,"value":273},{"alpha_index":543,"clock_position":543,"value":92},{"alpha_index":913,"clock_position":913,"value":273},{"alpha_index":1283,"clock_position":1283,"value":457},{"alpha_index":1653,"clock_position":1653,"value":638},{"alpha_index":2023,"clock_position":2023,"value":457}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-174","alpha_indices":[174,544,914,1284,1654,2024],"clock_positions":[174,544,914,1284,1654,2024],"native_values":[432,663,67,298,67,663],"rotation_degrees":28.216216216216218,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":174,"clock_position":174,"value":432},{"alpha_index":544,"clock_position":544,"value":663},{"alpha_index":914,"clock_position":914,"value":67},{"alpha_index":1284,"clock_position":1284,"value":298},{"alpha_index":1654,"clock_position":1654,"value":67},{"alpha_index":2024,"clock_position":2024,"value":663}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-175","alpha_indices":[175,545,915,1285,1655,2025],"clock_positions":[175,545,915,1285,1655,2025],"native_values":[705,25,340,25,705,390],"rotation_degrees":28.37837837837838,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":175,"clock_position":175,"value":705},{"alpha_index":545,"clock_position":545,"value":25},{"alpha_index":915,"clock_position":915,"value":340},{"alpha_index":1285,"clock_position":1285,"value":25},{"alpha_index":1655,"clock_position":1655,"value":705},{"alpha_index":2025,"clock_position":2025,"value":390}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-176","alpha_indices":[176,546,916,1286,1656,2026],"clock_positions":[176,546,916,1286,1656,2026],"native_values":[407,688,407,323,42,323],"rotation_degrees":28.54054054054054,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":176,"clock_position":176,"value":407},{"alpha_index":546,"clock_position":546,"value":688},{"alpha_index":916,"clock_position":916,"value":407},{"alpha_index":1286,"clock_position":1286,"value":323},{"alpha_index":1656,"clock_position":1656,"value":42},{"alpha_index":2026,"clock_position":2026,"value":323}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-177","alpha_indices":[177,547,917,1287,1657,2027],"clock_positions":[177,547,917,1287,1657,2027],"native_values":[382,713,17,348,17,713],"rotation_degrees":28.7027027027027,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":177,"clock_position":177,"value":382},{"alpha_index":547,"clock_position":547,"value":713},{"alpha_index":917,"clock_position":917,"value":17},{"alpha_index":1287,"clock_position":1287,"value":348},{"alpha_index":1657,"clock_position":1657,"value":17},{"alpha_index":2027,"clock_position":2027,"value":713}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-178","alpha_indices":[178,548,918,1288,1658,2028],"clock_positions":[178,548,918,1288,1658,2028],"native_values":[59,671,424,671,59,306],"rotation_degrees":28.864864864864863,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":178,"clock_position":178,"value":59},{"alpha_index":548,"clock_position":548,"value":671},{"alpha_index":918,"clock_position":918,"value":424},{"alpha_index":1288,"clock_position":1288,"value":671},{"alpha_index":1658,"clock_position":1658,"value":59},{"alpha_index":2028,"clock_position":2028,"value":306}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-179","alpha_indices":[179,549,919,1289,1659,2029],"clock_positions":[179,549,919,1289,1659,2029],"native_values":[441,654,441,289,76,289],"rotation_degrees":29.027027027027028,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":179,"clock_position":179,"value":441},{"alpha_index":549,"clock_position":549,"value":654},{"alpha_index":919,"clock_position":919,"value":441},{"alpha_index":1289,"clock_position":1289,"value":289},{"alpha_index":1659,"clock_position":1659,"value":76},{"alpha_index":2029,"clock_position":2029,"value":289}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-180","alpha_indices":[180,550,920,1290,1660,2030],"clock_positions":[180,550,920,1290,1660,2030],"native_values":[500,595,135,230,135,595],"rotation_degrees":29.18918918918919,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":180,"clock_position":180,"value":500},{"alpha_index":550,"clock_position":550,"value":595},{"alpha_index":920,"clock_position":920,"value":135},{"alpha_index":1290,"clock_position":1290,"value":230},{"alpha_index":1660,"clock_position":1660,"value":135},{"alpha_index":2030,"clock_position":2030,"value":595}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-181","alpha_indices":[181,551,921,1291,1661,2031],"clock_positions":[181,551,921,1291,1661,2031],"native_values":[211,519,576,519,211,154],"rotation_degrees":29.35135135135135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":181,"clock_position":181,"value":211},{"alpha_index":551,"clock_position":551,"value":519},{"alpha_index":921,"clock_position":921,"value":576},{"alpha_index":1291,"clock_position":1291,"value":519},{"alpha_index":1661,"clock_position":1661,"value":211},{"alpha_index":2031,"clock_position":2031,"value":154}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-182","alpha_indices":[182,552,922,1292,1662,2032],"clock_positions":[182,552,922,1292,1662,2032],"native_values":[711,384,711,19,346,19],"rotation_degrees":29.513513513513512,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":182,"clock_position":182,"value":711},{"alpha_index":552,"clock_position":552,"value":384},{"alpha_index":922,"clock_position":922,"value":711},{"alpha_index":1292,"clock_position":1292,"value":19},{"alpha_index":1662,"clock_position":1662,"value":346},{"alpha_index":2032,"clock_position":2032,"value":19}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-183","alpha_indices":[183,553,923,1293,1663,2033],"clock_positions":[183,553,923,1293,1663,2033],"native_values":[192,173,557,538,557,173],"rotation_degrees":29.675675675675677,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":183,"clock_position":183,"value":192},{"alpha_index":553,"clock_position":553,"value":173},{"alpha_index":923,"clock_position":923,"value":557},{"alpha_index":1293,"clock_position":1293,"value":538},{"alpha_index":1663,"clock_position":1663,"value":557},{"alpha_index":2033,"clock_position":2033,"value":173}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-184","alpha_indices":[184,554,924,1294,1664,2034],"clock_positions":[184,554,924,1294,1664,2034],"native_values":[173,557,538,557,173,192],"rotation_degrees":29.83783783783784,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":184,"clock_position":184,"value":173},{"alpha_index":554,"clock_position":554,"value":557},{"alpha_index":924,"clock_position":924,"value":538},{"alpha_index":1294,"clock_position":1294,"value":557},{"alpha_index":1664,"clock_position":1664,"value":173},{"alpha_index":2034,"clock_position":2034,"value":192}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-185","alpha_indices":[185,555,925,1295,1665,2035],"clock_positions":[185,555,925,1295,1665,2035],"native_values":[365,730,365,365,730,365],"rotation_degrees":30.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":185,"clock_position":185,"value":365},{"alpha_index":555,"clock_position":555,"value":730},{"alpha_index":925,"clock_position":925,"value":365},{"alpha_index":1295,"clock_position":1295,"value":365},{"alpha_index":1665,"clock_position":1665,"value":730},{"alpha_index":2035,"clock_position":2035,"value":365}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-186","alpha_indices":[186,556,926,1296,1666,2036],"clock_positions":[186,556,926,1296,1666,2036],"native_values":[538,557,173,192,173,557],"rotation_degrees":30.16216216216216,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":186,"clock_position":186,"value":538},{"alpha_index":556,"clock_position":556,"value":557},{"alpha_index":926,"clock_position":926,"value":173},{"alpha_index":1296,"clock_position":1296,"value":192},{"alpha_index":1666,"clock_position":1666,"value":173},{"alpha_index":2036,"clock_position":2036,"value":557}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-187","alpha_indices":[187,557,927,1297,1667,2037],"clock_positions":[187,557,927,1297,1667,2037],"native_values":[173,557,538,557,173,192],"rotation_degrees":30.324324324324323,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":187,"clock_position":187,"value":173},{"alpha_index":557,"clock_position":557,"value":557},{"alpha_index":927,"clock_position":927,"value":538},{"alpha_index":1297,"clock_position":1297,"value":557},{"alpha_index":1667,"clock_position":1667,"value":173},{"alpha_index":2037,"clock_position":2037,"value":192}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-188","alpha_indices":[188,558,928,1298,1668,2038],"clock_positions":[188,558,928,1298,1668,2038],"native_values":[711,384,711,19,346,19],"rotation_degrees":30.486486486486488,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":188,"clock_position":188,"value":711},{"alpha_index":558,"clock_position":558,"value":384},{"alpha_index":928,"clock_position":928,"value":711},{"alpha_index":1298,"clock_position":1298,"value":19},{"alpha_index":1668,"clock_position":1668,"value":346},{"alpha_index":2038,"clock_position":2038,"value":19}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-189","alpha_indices":[189,559,929,1299,1669,2039],"clock_positions":[189,559,929,1299,1669,2039],"native_values":[154,211,519,576,519,211],"rotation_degrees":30.64864864864865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":189,"clock_position":189,"value":154},{"alpha_index":559,"clock_position":559,"value":211},{"alpha_index":929,"clock_position":929,"value":519},{"alpha_index":1299,"clock_position":1299,"value":576},{"alpha_index":1669,"clock_position":1669,"value":519},{"alpha_index":2039,"clock_position":2039,"value":211}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-190","alpha_indices":[190,560,930,1300,1670,2040],"clock_positions":[190,560,930,1300,1670,2040],"native_values":[135,595,500,595,135,230],"rotation_degrees":30.81081081081081,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":190,"clock_position":190,"value":135},{"alpha_index":560,"clock_position":560,"value":595},{"alpha_index":930,"clock_position":930,"value":500},{"alpha_index":1300,"clock_position":1300,"value":595},{"alpha_index":1670,"clock_position":1670,"value":135},{"alpha_index":2040,"clock_position":2040,"value":230}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-191","alpha_indices":[191,561,931,1301,1671,2041],"clock_positions":[191,561,931,1301,1671,2041],"native_values":[289,76,289,441,654,441],"rotation_degrees":30.972972972972972,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":191,"clock_position":191,"value":289},{"alpha_index":561,"clock_position":561,"value":76},{"alpha_index":931,"clock_position":931,"value":289},{"alpha_index":1301,"clock_position":1301,"value":441},{"alpha_index":1671,"clock_position":1671,"value":654},{"alpha_index":2041,"clock_position":2041,"value":441}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-192","alpha_indices":[192,562,932,1302,1672,2042],"clock_positions":[192,562,932,1302,1672,2042],"native_values":[424,671,59,306,59,671],"rotation_degrees":31.135135135135137,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":192,"clock_position":192,"value":424},{"alpha_index":562,"clock_position":562,"value":671},{"alpha_index":932,"clock_position":932,"value":59},{"alpha_index":1302,"clock_position":1302,"value":306},{"alpha_index":1672,"clock_position":1672,"value":59},{"alpha_index":2042,"clock_position":2042,"value":671}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-193","alpha_indices":[193,563,933,1303,1673,2043],"clock_positions":[193,563,933,1303,1673,2043],"native_values":[713,17,348,17,713,382],"rotation_degrees":31.2972972972973,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":193,"clock_position":193,"value":713},{"alpha_index":563,"clock_position":563,"value":17},{"alpha_index":933,"clock_position":933,"value":348},{"alpha_index":1303,"clock_position":1303,"value":17},{"alpha_index":1673,"clock_position":1673,"value":713},{"alpha_index":2043,"clock_position":2043,"value":382}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-194","alpha_indices":[194,564,934,1304,1674,2044],"clock_positions":[194,564,934,1304,1674,2044],"native_values":[407,688,407,323,42,323],"rotation_degrees":31.45945945945946,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":194,"clock_position":194,"value":407},{"alpha_index":564,"clock_position":564,"value":688},{"alpha_index":934,"clock_position":934,"value":407},{"alpha_index":1304,"clock_position":1304,"value":323},{"alpha_index":1674,"clock_position":1674,"value":42},{"alpha_index":2044,"clock_position":2044,"value":323}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-195","alpha_indices":[195,565,935,1305,1675,2045],"clock_positions":[195,565,935,1305,1675,2045],"native_values":[390,705,25,340,25,705],"rotation_degrees":31.62162162162162,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":195,"clock_position":195,"value":390},{"alpha_index":565,"clock_position":565,"value":705},{"alpha_index":935,"clock_position":935,"value":25},{"alpha_index":1305,"clock_position":1305,"value":340},{"alpha_index":1675,"clock_position":1675,"value":25},{"alpha_index":2045,"clock_position":2045,"value":705}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-196","alpha_indices":[196,566,936,1306,1676,2046],"clock_positions":[196,566,936,1306,1676,2046],"native_values":[67,663,432,663,67,298],"rotation_degrees":31.783783783783782,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":196,"clock_position":196,"value":67},{"alpha_index":566,"clock_position":566,"value":663},{"alpha_index":936,"clock_position":936,"value":432},{"alpha_index":1306,"clock_position":1306,"value":663},{"alpha_index":1676,"clock_position":1676,"value":67},{"alpha_index":2046,"clock_position":2046,"value":298}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-197","alpha_indices":[197,567,937,1307,1677,2047],"clock_positions":[197,567,937,1307,1677,2047],"native_values":[457,638,457,273,92,273],"rotation_degrees":31.945945945945947,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":197,"clock_position":197,"value":457},{"alpha_index":567,"clock_position":567,"value":638},{"alpha_index":937,"clock_position":937,"value":457},{"alpha_index":1307,"clock_position":1307,"value":273},{"alpha_index":1677,"clock_position":1677,"value":92},{"alpha_index":2047,"clock_position":2047,"value":273}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-198","alpha_indices":[198,568,938,1308,1678,2048],"clock_positions":[198,568,938,1308,1678,2048],"native_values":[524,571,159,206,159,571],"rotation_degrees":32.108108108108105,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":198,"clock_position":198,"value":524},{"alpha_index":568,"clock_position":568,"value":571},{"alpha_index":938,"clock_position":938,"value":159},{"alpha_index":1308,"clock_position":1308,"value":206},{"alpha_index":1678,"clock_position":1678,"value":159},{"alpha_index":2048,"clock_position":2048,"value":571}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-199","alpha_indices":[199,569,939,1309,1679,2049],"clock_positions":[199,569,939,1309,1679,2049],"native_values":[251,479,616,479,251,114],"rotation_degrees":32.270270270270274,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":199,"clock_position":199,"value":251},{"alpha_index":569,"clock_position":569,"value":479},{"alpha_index":939,"clock_position":939,"value":616},{"alpha_index":1309,"clock_position":1309,"value":479},{"alpha_index":1679,"clock_position":1679,"value":251},{"alpha_index":2049,"clock_position":2049,"value":114}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-200","alpha_indices":[200,570,940,1310,1680,2050],"clock_positions":[200,570,940,1310,1680,2050],"native_values":[45,320,45,685,410,685],"rotation_degrees":32.432432432432435,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":200,"clock_position":200,"value":45},{"alpha_index":570,"clock_position":570,"value":320},{"alpha_index":940,"clock_position":940,"value":45},{"alpha_index":1310,"clock_position":1310,"value":685},{"alpha_index":1680,"clock_position":1680,"value":410},{"alpha_index":2050,"clock_position":2050,"value":685}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-201","alpha_indices":[201,571,941,1311,1681,2051],"clock_positions":[201,571,941,1311,1681,2051],"native_values":[296,69,661,434,661,69],"rotation_degrees":32.5945945945946,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":201,"clock_position":201,"value":296},{"alpha_index":571,"clock_position":571,"value":69},{"alpha_index":941,"clock_position":941,"value":661},{"alpha_index":1311,"clock_position":1311,"value":434},{"alpha_index":1681,"clock_position":1681,"value":661},{"alpha_index":2051,"clock_position":2051,"value":69}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-202","alpha_indices":[202,572,942,1312,1682,2052],"clock_positions":[202,572,942,1312,1682,2052],"native_values":[341,389,706,389,341,24],"rotation_degrees":32.75675675675676,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":202,"clock_position":202,"value":341},{"alpha_index":572,"clock_position":572,"value":389},{"alpha_index":942,"clock_position":942,"value":706},{"alpha_index":1312,"clock_position":1312,"value":389},{"alpha_index":1682,"clock_position":1682,"value":341},{"alpha_index":2052,"clock_position":2052,"value":24}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-203","alpha_indices":[203,573,943,1313,1683,2053],"clock_positions":[203,573,943,1313,1683,2053],"native_values":[637,458,637,93,272,93],"rotation_degrees":32.91891891891892,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":203,"clock_position":203,"value":637},{"alpha_index":573,"clock_position":573,"value":458},{"alpha_index":943,"clock_position":943,"value":637},{"alpha_index":1313,"clock_position":1313,"value":93},{"alpha_index":1683,"clock_position":1683,"value":272},{"alpha_index":2053,"clock_position":2053,"value":93}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-204","alpha_indices":[204,574,944,1314,1684,2054],"clock_positions":[204,574,944,1314,1684,2054],"native_values":[248,117,613,482,613,117],"rotation_degrees":33.08108108108108,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":204,"clock_position":204,"value":248},{"alpha_index":574,"clock_position":574,"value":117},{"alpha_index":944,"clock_position":944,"value":613},{"alpha_index":1314,"clock_position":1314,"value":482},{"alpha_index":1684,"clock_position":1684,"value":613},{"alpha_index":2054,"clock_position":2054,"value":117}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-205","alpha_indices":[205,575,945,1315,1685,2055],"clock_positions":[205,575,945,1315,1685,2055],"native_values":[155,575,520,575,155,210],"rotation_degrees":33.24324324324324,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":205,"clock_position":205,"value":155},{"alpha_index":575,"clock_position":575,"value":575},{"alpha_index":945,"clock_position":945,"value":520},{"alpha_index":1315,"clock_position":1315,"value":575},{"alpha_index":1685,"clock_position":1685,"value":155},{"alpha_index":2055,"clock_position":2055,"value":210}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-206","alpha_indices":[206,576,946,1316,1686,2056],"clock_positions":[206,576,946,1316,1686,2056],"native_values":[403,692,403,327,38,327],"rotation_degrees":33.4054054054054,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":206,"clock_position":206,"value":403},{"alpha_index":576,"clock_position":576,"value":692},{"alpha_index":946,"clock_position":946,"value":403},{"alpha_index":1316,"clock_position":1316,"value":327},{"alpha_index":1686,"clock_position":1686,"value":38},{"alpha_index":2056,"clock_position":2056,"value":327}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-207","alpha_indices":[207,577,947,1317,1687,2057],"clock_positions":[207,577,947,1317,1687,2057],"native_values":[558,537,193,172,193,537],"rotation_degrees":33.567567567567565,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":207,"clock_position":207,"value":558},{"alpha_index":577,"clock_position":577,"value":537},{"alpha_index":947,"clock_position":947,"value":193},{"alpha_index":1317,"clock_position":1317,"value":172},{"alpha_index":1687,"clock_position":1687,"value":193},{"alpha_index":2057,"clock_position":2057,"value":537}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-208","alpha_indices":[208,578,948,1318,1688,2058],"clock_positions":[208,578,948,1318,1688,2058],"native_values":[231,499,596,499,231,134],"rotation_degrees":33.729729729729726,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":208,"clock_position":208,"value":231},{"alpha_index":578,"clock_position":578,"value":499},{"alpha_index":948,"clock_position":948,"value":596},{"alpha_index":1318,"clock_position":1318,"value":499},{"alpha_index":1688,"clock_position":1688,"value":231},{"alpha_index":2058,"clock_position":2058,"value":134}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-209","alpha_indices":[209,579,949,1319,1689,2059],"clock_positions":[209,579,949,1319,1689,2059],"native_values":[59,306,59,671,424,671],"rotation_degrees":33.891891891891895,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":209,"clock_position":209,"value":59},{"alpha_index":579,"clock_position":579,"value":306},{"alpha_index":949,"clock_position":949,"value":59},{"alpha_index":1319,"clock_position":1319,"value":671},{"alpha_index":1689,"clock_position":1689,"value":424},{"alpha_index":2059,"clock_position":2059,"value":671}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-210","alpha_indices":[210,580,950,1320,1690,2060],"clock_positions":[210,580,950,1320,1690,2060],"native_values":[290,75,655,440,655,75],"rotation_degrees":34.054054054054056,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":210,"clock_position":210,"value":290},{"alpha_index":580,"clock_position":580,"value":75},{"alpha_index":950,"clock_position":950,"value":655},{"alpha_index":1320,"clock_position":1320,"value":440},{"alpha_index":1690,"clock_position":1690,"value":655},{"alpha_index":2060,"clock_position":2060,"value":75}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-211","alpha_indices":[211,581,951,1321,1691,2061],"clock_positions":[211,581,951,1321,1691,2061],"native_values":[349,381,714,381,349,16],"rotation_degrees":34.21621621621622,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":211,"clock_position":211,"value":349},{"alpha_index":581,"clock_position":581,"value":381},{"alpha_index":951,"clock_position":951,"value":714},{"alpha_index":1321,"clock_position":1321,"value":381},{"alpha_index":1691,"clock_position":1691,"value":349},{"alpha_index":2061,"clock_position":2061,"value":16}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-212","alpha_indices":[212,582,952,1322,1692,2062],"clock_positions":[212,582,952,1322,1692,2062],"native_values":[639,456,639,91,274,91],"rotation_degrees":34.37837837837838,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":212,"clock_position":212,"value":639},{"alpha_index":582,"clock_position":582,"value":456},{"alpha_index":952,"clock_position":952,"value":639},{"alpha_index":1322,"clock_position":1322,"value":91},{"alpha_index":1692,"clock_position":1692,"value":274},{"alpha_index":2062,"clock_position":2062,"value":91}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-213","alpha_indices":[213,583,953,1323,1693,2063],"clock_positions":[213,583,953,1323,1693,2063],"native_values":[258,107,623,472,623,107],"rotation_degrees":34.54054054054054,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":213,"clock_position":213,"value":258},{"alpha_index":583,"clock_position":583,"value":107},{"alpha_index":953,"clock_position":953,"value":623},{"alpha_index":1323,"clock_position":1323,"value":472},{"alpha_index":1693,"clock_position":1693,"value":623},{"alpha_index":2063,"clock_position":2063,"value":107}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-214","alpha_indices":[214,584,954,1324,1694,2064],"clock_positions":[214,584,954,1324,1694,2064],"native_values":[167,563,532,563,167,198],"rotation_degrees":34.7027027027027,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":214,"clock_position":214,"value":167},{"alpha_index":584,"clock_position":584,"value":563},{"alpha_index":954,"clock_position":954,"value":532},{"alpha_index":1324,"clock_position":1324,"value":563},{"alpha_index":1694,"clock_position":1694,"value":167},{"alpha_index":2064,"clock_position":2064,"value":198}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-215","alpha_indices":[215,585,955,1325,1695,2065],"clock_positions":[215,585,955,1325,1695,2065],"native_values":[425,670,425,305,60,305],"rotation_degrees":34.86486486486486,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":215,"clock_position":215,"value":425},{"alpha_index":585,"clock_position":585,"value":670},{"alpha_index":955,"clock_position":955,"value":425},{"alpha_index":1325,"clock_position":1325,"value":305},{"alpha_index":1695,"clock_position":1695,"value":60},{"alpha_index":2065,"clock_position":2065,"value":305}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-216","alpha_indices":[216,586,956,1326,1696,2066],"clock_positions":[216,586,956,1326,1696,2066],"native_values":[592,503,227,138,227,503],"rotation_degrees":35.027027027027025,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":216,"clock_position":216,"value":592},{"alpha_index":586,"clock_position":586,"value":503},{"alpha_index":956,"clock_position":956,"value":227},{"alpha_index":1326,"clock_position":1326,"value":138},{"alpha_index":1696,"clock_position":1696,"value":227},{"alpha_index":2066,"clock_position":2066,"value":503}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-217","alpha_indices":[217,587,957,1327,1697,2067],"clock_positions":[217,587,957,1327,1697,2067],"native_values":[287,443,652,443,287,78],"rotation_degrees":35.189189189189186,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":217,"clock_position":217,"value":287},{"alpha_index":587,"clock_position":587,"value":443},{"alpha_index":957,"clock_position":957,"value":652},{"alpha_index":1327,"clock_position":1327,"value":443},{"alpha_index":1697,"clock_position":1697,"value":287},{"alpha_index":2067,"clock_position":2067,"value":78}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-218","alpha_indices":[218,588,958,1328,1698,2068],"clock_positions":[218,588,958,1328,1698,2068],"native_values":[149,216,149,581,514,581],"rotation_degrees":35.351351351351354,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":218,"clock_position":218,"value":149},{"alpha_index":588,"clock_position":588,"value":216},{"alpha_index":958,"clock_position":958,"value":149},{"alpha_index":1328,"clock_position":1328,"value":581},{"alpha_index":1698,"clock_position":1698,"value":514},{"alpha_index":2068,"clock_position":2068,"value":581}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-219","alpha_indices":[219,589,959,1329,1699,2069],"clock_positions":[219,589,959,1329,1699,2069],"native_values":[436,659,71,294,71,659],"rotation_degrees":35.513513513513516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":219,"clock_position":219,"value":436},{"alpha_index":589,"clock_position":589,"value":659},{"alpha_index":959,"clock_position":959,"value":71},{"alpha_index":1329,"clock_position":1329,"value":294},{"alpha_index":1699,"clock_position":1699,"value":71},{"alpha_index":2069,"clock_position":2069,"value":659}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-220","alpha_indices":[220,590,960,1330,1700,2070],"clock_positions":[220,590,960,1330,1700,2070],"native_values":[585,145,220,145,585,510],"rotation_degrees":35.67567567567568,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":220,"clock_position":220,"value":585},{"alpha_index":590,"clock_position":590,"value":145},{"alpha_index":960,"clock_position":960,"value":220},{"alpha_index":1330,"clock_position":1330,"value":145},{"alpha_index":1700,"clock_position":1700,"value":585},{"alpha_index":2070,"clock_position":2070,"value":510}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-221","alpha_indices":[221,591,961,1331,1701,2071],"clock_positions":[221,591,961,1331,1701,2071],"native_values":[291,74,291,439,656,439],"rotation_degrees":35.83783783783784,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":221,"clock_position":221,"value":291},{"alpha_index":591,"clock_position":591,"value":74},{"alpha_index":961,"clock_position":961,"value":291},{"alpha_index":1331,"clock_position":1331,"value":439},{"alpha_index":1701,"clock_position":1701,"value":656},{"alpha_index":2071,"clock_position":2071,"value":439}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-222","alpha_indices":[222,592,962,1332,1702,2072],"clock_positions":[222,592,962,1332,1702,2072],"native_values":[146,219,511,584,511,219],"rotation_degrees":36.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":222,"clock_position":222,"value":146},{"alpha_index":592,"clock_position":592,"value":219},{"alpha_index":962,"clock_position":962,"value":511},{"alpha_index":1332,"clock_position":1332,"value":584},{"alpha_index":1702,"clock_position":1702,"value":511},{"alpha_index":2072,"clock_position":2072,"value":219}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-223","alpha_indices":[223,593,963,1333,1703,2073],"clock_positions":[223,593,963,1333,1703,2073],"native_values":[437,293,72,293,437,658],"rotation_degrees":36.16216216216216,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":223,"clock_position":223,"value":437},{"alpha_index":593,"clock_position":593,"value":293},{"alpha_index":963,"clock_position":963,"value":72},{"alpha_index":1333,"clock_position":1333,"value":293},{"alpha_index":1703,"clock_position":1703,"value":437},{"alpha_index":2073,"clock_position":2073,"value":658}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-224","alpha_indices":[224,594,964,1334,1704,2074],"clock_positions":[224,594,964,1334,1704,2074],"native_values":[583,512,583,147,218,147],"rotation_degrees":36.32432432432432,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":224,"clock_position":224,"value":583},{"alpha_index":594,"clock_position":594,"value":512},{"alpha_index":964,"clock_position":964,"value":583},{"alpha_index":1334,"clock_position":1334,"value":147},{"alpha_index":1704,"clock_position":1704,"value":218},{"alpha_index":2074,"clock_position":2074,"value":147}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-225","alpha_indices":[225,595,965,1335,1705,2075],"clock_positions":[225,595,965,1335,1705,2075],"native_values":[290,75,655,440,655,75],"rotation_degrees":36.486486486486484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":225,"clock_position":225,"value":290},{"alpha_index":595,"clock_position":595,"value":75},{"alpha_index":965,"clock_position":965,"value":655},{"alpha_index":1335,"clock_position":1335,"value":440},{"alpha_index":1705,"clock_position":1705,"value":655},{"alpha_index":2075,"clock_position":2075,"value":75}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-226","alpha_indices":[226,596,966,1336,1706,2076],"clock_positions":[226,596,966,1336,1706,2076],"native_values":[143,587,508,587,143,222],"rotation_degrees":36.648648648648646,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":226,"clock_position":226,"value":143},{"alpha_index":596,"clock_position":596,"value":587},{"alpha_index":966,"clock_position":966,"value":508},{"alpha_index":1336,"clock_position":1336,"value":587},{"alpha_index":1706,"clock_position":1706,"value":143},{"alpha_index":2076,"clock_position":2076,"value":222}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-227","alpha_indices":[227,597,967,1337,1707,2077],"clock_positions":[227,597,967,1337,1707,2077],"native_values":[433,662,433,297,68,297],"rotation_degrees":36.810810810810814,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":227,"clock_position":227,"value":433},{"alpha_index":597,"clock_position":597,"value":662},{"alpha_index":967,"clock_position":967,"value":433},{"alpha_index":1337,"clock_position":1337,"value":297},{"alpha_index":1707,"clock_position":1707,"value":68},{"alpha_index":2077,"clock_position":2077,"value":297}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-228","alpha_indices":[228,598,968,1338,1708,2078],"clock_positions":[228,598,968,1338,1708,2078],"native_values":[576,519,211,154,211,519],"rotation_degrees":36.972972972972975,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":228,"clock_position":228,"value":576},{"alpha_index":598,"clock_position":598,"value":519},{"alpha_index":968,"clock_position":968,"value":211},{"alpha_index":1338,"clock_position":1338,"value":154},{"alpha_index":1708,"clock_position":1708,"value":211},{"alpha_index":2078,"clock_position":2078,"value":519}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-229","alpha_indices":[229,599,969,1339,1709,2079],"clock_positions":[229,599,969,1339,1709,2079],"native_values":[279,451,644,451,279,86],"rotation_degrees":37.13513513513514,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":229,"clock_position":229,"value":279},{"alpha_index":599,"clock_position":599,"value":451},{"alpha_index":969,"clock_position":969,"value":644},{"alpha_index":1339,"clock_position":1339,"value":451},{"alpha_index":1709,"clock_position":1709,"value":279},{"alpha_index":2079,"clock_position":2079,"value":86}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-230","alpha_indices":[230,600,970,1340,1710,2080],"clock_positions":[230,600,970,1340,1710,2080],"native_values":[125,240,125,605,490,605],"rotation_degrees":37.2972972972973,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":230,"clock_position":230,"value":125},{"alpha_index":600,"clock_position":600,"value":240},{"alpha_index":970,"clock_position":970,"value":125},{"alpha_index":1340,"clock_position":1340,"value":605},{"alpha_index":1710,"clock_position":1710,"value":490},{"alpha_index":2080,"clock_position":2080,"value":605}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-231","alpha_indices":[231,601,971,1341,1711,2081],"clock_positions":[231,601,971,1341,1711,2081],"native_values":[404,691,39,326,39,691],"rotation_degrees":37.45945945945946,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":231,"clock_position":231,"value":404},{"alpha_index":601,"clock_position":601,"value":691},{"alpha_index":971,"clock_position":971,"value":39},{"alpha_index":1341,"clock_position":1341,"value":326},{"alpha_index":1711,"clock_position":1711,"value":39},{"alpha_index":2081,"clock_position":2081,"value":691}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-232","alpha_indices":[232,602,972,1342,1712,2082],"clock_positions":[232,602,972,1342,1712,2082],"native_values":[529,201,164,201,529,566],"rotation_degrees":37.62162162162162,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":232,"clock_position":232,"value":529},{"alpha_index":602,"clock_position":602,"value":201},{"alpha_index":972,"clock_position":972,"value":164},{"alpha_index":1342,"clock_position":1342,"value":201},{"alpha_index":1712,"clock_position":1712,"value":529},{"alpha_index":2082,"clock_position":2082,"value":566}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-233","alpha_indices":[233,603,973,1343,1713,2083],"clock_positions":[233,603,973,1343,1713,2083],"native_values":[203,162,203,527,568,527],"rotation_degrees":37.78378378378378,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":233,"clock_position":233,"value":203},{"alpha_index":603,"clock_position":603,"value":162},{"alpha_index":973,"clock_position":973,"value":203},{"alpha_index":1343,"clock_position":1343,"value":527},{"alpha_index":1713,"clock_position":1713,"value":568},{"alpha_index":2083,"clock_position":2083,"value":527}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-234","alpha_indices":[234,604,974,1344,1714,2084],"clock_positions":[234,604,974,1344,1714,2084],"native_values":[2,363,367,728,367,363],"rotation_degrees":37.945945945945944,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":234,"clock_position":234,"value":2},{"alpha_index":604,"clock_position":604,"value":363},{"alpha_index":974,"clock_position":974,"value":367},{"alpha_index":1344,"clock_position":1344,"value":728},{"alpha_index":1714,"clock_position":1714,"value":367},{"alpha_index":2084,"clock_position":2084,"value":363}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-235","alpha_indices":[235,605,975,1345,1715,2085],"clock_positions":[235,605,975,1345,1715,2085],"native_values":[205,525,570,525,205,160],"rotation_degrees":38.108108108108105,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":235,"clock_position":235,"value":205},{"alpha_index":605,"clock_position":605,"value":525},{"alpha_index":975,"clock_position":975,"value":570},{"alpha_index":1345,"clock_position":1345,"value":525},{"alpha_index":1715,"clock_position":1715,"value":205},{"alpha_index":2085,"clock_position":2085,"value":160}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-236","alpha_indices":[236,606,976,1346,1716,2086],"clock_positions":[236,606,976,1346,1716,2086],"native_values":[207,158,207,523,572,523],"rotation_degrees":38.270270270270274,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":236,"clock_position":236,"value":207},{"alpha_index":606,"clock_position":606,"value":158},{"alpha_index":976,"clock_position":976,"value":207},{"alpha_index":1346,"clock_position":1346,"value":523},{"alpha_index":1716,"clock_position":1716,"value":572},{"alpha_index":2086,"clock_position":2086,"value":523}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-237","alpha_indices":[237,607,977,1347,1717,2087],"clock_positions":[237,607,977,1347,1717,2087],"native_values":[412,683,47,318,47,683],"rotation_degrees":38.432432432432435,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":237,"clock_position":237,"value":412},{"alpha_index":607,"clock_position":607,"value":683},{"alpha_index":977,"clock_position":977,"value":47},{"alpha_index":1347,"clock_position":1347,"value":318},{"alpha_index":1717,"clock_position":1717,"value":47},{"alpha_index":2087,"clock_position":2087,"value":683}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-238","alpha_indices":[238,608,978,1348,1718,2088],"clock_positions":[238,608,978,1348,1718,2088],"native_values":[619,111,254,111,619,476],"rotation_degrees":38.5945945945946,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":238,"clock_position":238,"value":619},{"alpha_index":608,"clock_position":608,"value":111},{"alpha_index":978,"clock_position":978,"value":254},{"alpha_index":1348,"clock_position":1348,"value":111},{"alpha_index":1718,"clock_position":1718,"value":619},{"alpha_index":2088,"clock_position":2088,"value":476}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-239","alpha_indices":[239,609,979,1349,1719,2089],"clock_positions":[239,609,979,1349,1719,2089],"native_values":[301,64,301,429,666,429],"rotation_degrees":38.75675675675676,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":239,"clock_position":239,"value":301},{"alpha_index":609,"clock_position":609,"value":64},{"alpha_index":979,"clock_position":979,"value":301},{"alpha_index":1349,"clock_position":1349,"value":429},{"alpha_index":1719,"clock_position":1719,"value":666},{"alpha_index":2089,"clock_position":2089,"value":429}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-240","alpha_indices":[240,610,980,1350,1720,2090],"clock_positions":[240,610,980,1350,1720,2090],"native_values":[190,175,555,540,555,175],"rotation_degrees":38.91891891891892,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":240,"clock_position":240,"value":190},{"alpha_index":610,"clock_position":610,"value":175},{"alpha_index":980,"clock_position":980,"value":555},{"alpha_index":1350,"clock_position":1350,"value":540},{"alpha_index":1720,"clock_position":1720,"value":555},{"alpha_index":2090,"clock_position":2090,"value":175}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-241","alpha_indices":[241,611,981,1351,1721,2091],"clock_positions":[241,611,981,1351,1721,2091],"native_values":[491,239,126,239,491,604],"rotation_degrees":39.08108108108108,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":241,"clock_position":241,"value":491},{"alpha_index":611,"clock_position":611,"value":239},{"alpha_index":981,"clock_position":981,"value":126},{"alpha_index":1351,"clock_position":1351,"value":239},{"alpha_index":1721,"clock_position":1721,"value":491},{"alpha_index":2091,"clock_position":2091,"value":604}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-242","alpha_indices":[242,612,982,1352,1722,2092],"clock_positions":[242,612,982,1352,1722,2092],"native_values":[681,414,681,49,316,49],"rotation_degrees":39.24324324324324,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":242,"clock_position":242,"value":681},{"alpha_index":612,"clock_position":612,"value":414},{"alpha_index":982,"clock_position":982,"value":681},{"alpha_index":1352,"clock_position":1352,"value":49},{"alpha_index":1722,"clock_position":1722,"value":316},{"alpha_index":2092,"clock_position":2092,"value":49}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-243","alpha_indices":[243,613,983,1353,1723,2093],"clock_positions":[243,613,983,1353,1723,2093],"native_values":[442,653,77,288,77,653],"rotation_degrees":39.4054054054054,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":243,"clock_position":243,"value":442},{"alpha_index":613,"clock_position":613,"value":653},{"alpha_index":983,"clock_position":983,"value":77},{"alpha_index":1353,"clock_position":1353,"value":288},{"alpha_index":1723,"clock_position":1723,"value":77},{"alpha_index":2093,"clock_position":2093,"value":653}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-244","alpha_indices":[244,614,984,1354,1724,2094],"clock_positions":[244,614,984,1354,1724,2094],"native_values":[393,337,28,337,393,702],"rotation_degrees":39.567567567567565,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":244,"clock_position":244,"value":393},{"alpha_index":614,"clock_position":614,"value":337},{"alpha_index":984,"clock_position":984,"value":28},{"alpha_index":1354,"clock_position":1354,"value":337},{"alpha_index":1724,"clock_position":1724,"value":393},{"alpha_index":2094,"clock_position":2094,"value":702}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-245","alpha_indices":[245,615,985,1355,1725,2095],"clock_positions":[245,615,985,1355,1725,2095],"native_values":[105,260,105,625,470,625],"rotation_degrees":39.729729729729726,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":245,"clock_position":245,"value":105},{"alpha_index":615,"clock_position":615,"value":260},{"alpha_index":985,"clock_position":985,"value":105},{"alpha_index":1355,"clock_position":1355,"value":625},{"alpha_index":1725,"clock_position":1725,"value":470},{"alpha_index":2095,"clock_position":2095,"value":625}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-246","alpha_indices":[246,616,986,1356,1726,2096],"clock_positions":[246,616,986,1356,1726,2096],"native_values":[498,597,133,232,133,597],"rotation_degrees":39.891891891891895,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":246,"clock_position":246,"value":498},{"alpha_index":616,"clock_position":616,"value":597},{"alpha_index":986,"clock_position":986,"value":133},{"alpha_index":1356,"clock_position":1356,"value":232},{"alpha_index":1726,"clock_position":1726,"value":133},{"alpha_index":2096,"clock_position":2096,"value":597}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-247","alpha_indices":[247,617,987,1357,1727,2097],"clock_positions":[247,617,987,1357,1727,2097],"native_values":[603,127,238,127,603,492],"rotation_degrees":40.054054054054056,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":247,"clock_position":247,"value":603},{"alpha_index":617,"clock_position":617,"value":127},{"alpha_index":987,"clock_position":987,"value":238},{"alpha_index":1357,"clock_position":1357,"value":127},{"alpha_index":1727,"clock_position":1727,"value":603},{"alpha_index":2097,"clock_position":2097,"value":492}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-248","alpha_indices":[248,618,988,1358,1728,2098],"clock_positions":[248,618,988,1358,1728,2098],"native_values":[371,724,371,359,6,359],"rotation_degrees":40.21621621621622,"missing_required_values":[3,9],"failing_nodes":[{"alpha_index":248,"clock_position":248,"value":371},{"alpha_index":618,"clock_position":618,"value":724},{"alpha_index":988,"clock_position":988,"value":371},{"alpha_index":1358,"clock_position":1358,"value":359},{"alpha_index":2098,"clock_position":2098,"value":359}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-249","alpha_indices":[249,619,989,1359,1729,2099],"clock_positions":[249,619,989,1359,1729,2099],"native_values":[244,121,609,486,609,121],"rotation_degrees":40.37837837837838,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":249,"clock_position":249,"value":244},{"alpha_index":619,"clock_position":619,"value":121},{"alpha_index":989,"clock_position":989,"value":609},{"alpha_index":1359,"clock_position":1359,"value":486},{"alpha_index":1729,"clock_position":1729,"value":609},{"alpha_index":2099,"clock_position":2099,"value":121}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-250","alpha_indices":[250,620,990,1360,1730,2100],"clock_positions":[250,620,990,1360,1730,2100],"native_values":[615,115,250,115,615,480],"rotation_degrees":40.54054054054054,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":250,"clock_position":250,"value":615},{"alpha_index":620,"clock_position":620,"value":115},{"alpha_index":990,"clock_position":990,"value":250},{"alpha_index":1360,"clock_position":1360,"value":115},{"alpha_index":1730,"clock_position":1730,"value":615},{"alpha_index":2100,"clock_position":2100,"value":480}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-251","alpha_indices":[251,621,991,1361,1731,2101],"clock_positions":[251,621,991,1361,1731,2101],"native_values":[129,236,129,601,494,601],"rotation_degrees":40.7027027027027,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":251,"clock_position":251,"value":129},{"alpha_index":621,"clock_position":621,"value":236},{"alpha_index":991,"clock_position":991,"value":129},{"alpha_index":1361,"clock_position":1361,"value":601},{"alpha_index":1731,"clock_position":1731,"value":494},{"alpha_index":2101,"clock_position":2101,"value":601}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-252","alpha_indices":[252,622,992,1362,1732,2102],"clock_positions":[252,622,992,1362,1732,2102],"native_values":[14,351,379,716,379,351],"rotation_degrees":40.86486486486486,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":252,"clock_position":252,"value":14},{"alpha_index":622,"clock_position":622,"value":351},{"alpha_index":992,"clock_position":992,"value":379},{"alpha_index":1362,"clock_position":1362,"value":716},{"alpha_index":1732,"clock_position":1732,"value":379},{"alpha_index":2102,"clock_position":2102,"value":351}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-253","alpha_indices":[253,623,993,1363,1733,2103],"clock_positions":[253,623,993,1363,1733,2103],"native_values":[143,587,508,587,143,222],"rotation_degrees":41.027027027027025,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":253,"clock_position":253,"value":143},{"alpha_index":623,"clock_position":623,"value":587},{"alpha_index":993,"clock_position":993,"value":508},{"alpha_index":1363,"clock_position":1363,"value":587},{"alpha_index":1733,"clock_position":1733,"value":143},{"alpha_index":2103,"clock_position":2103,"value":222}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-254","alpha_indices":[254,624,994,1364,1734,2104],"clock_positions":[254,624,994,1364,1734,2104],"native_values":[157,208,157,573,522,573],"rotation_degrees":41.189189189189186,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":254,"clock_position":254,"value":157},{"alpha_index":624,"clock_position":624,"value":208},{"alpha_index":994,"clock_position":994,"value":157},{"alpha_index":1364,"clock_position":1364,"value":573},{"alpha_index":1734,"clock_position":1734,"value":522},{"alpha_index":2104,"clock_position":2104,"value":573}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-255","alpha_indices":[255,625,995,1365,1735,2105],"clock_positions":[255,625,995,1365,1735,2105],"native_values":[300,65,665,430,665,65],"rotation_degrees":41.351351351351354,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":255,"clock_position":255,"value":300},{"alpha_index":625,"clock_position":625,"value":65},{"alpha_index":995,"clock_position":995,"value":665},{"alpha_index":1365,"clock_position":1365,"value":430},{"alpha_index":1735,"clock_position":1735,"value":665},{"alpha_index":2105,"clock_position":2105,"value":65}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-256","alpha_indices":[256,626,996,1366,1736,2106],"clock_positions":[256,626,996,1366,1736,2106],"native_values":[457,273,92,273,457,638],"rotation_degrees":41.513513513513516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":256,"clock_position":256,"value":457},{"alpha_index":626,"clock_position":626,"value":273},{"alpha_index":996,"clock_position":996,"value":92},{"alpha_index":1366,"clock_position":1366,"value":273},{"alpha_index":1736,"clock_position":1736,"value":457},{"alpha_index":2106,"clock_position":2106,"value":638}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-257","alpha_indices":[257,627,997,1367,1737,2107],"clock_positions":[257,627,997,1367,1737,2107],"native_values":[27,338,27,703,392,703],"rotation_degrees":41.67567567567568,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":257,"clock_position":257,"value":27},{"alpha_index":627,"clock_position":627,"value":338},{"alpha_index":997,"clock_position":997,"value":27},{"alpha_index":1367,"clock_position":1367,"value":703},{"alpha_index":1737,"clock_position":1737,"value":392},{"alpha_index":2107,"clock_position":2107,"value":703}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-258","alpha_indices":[258,628,998,1368,1738,2108],"clock_positions":[258,628,998,1368,1738,2108],"native_values":[484,611,119,246,119,611],"rotation_degrees":41.83783783783784,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":258,"clock_position":258,"value":484},{"alpha_index":628,"clock_position":628,"value":611},{"alpha_index":998,"clock_position":998,"value":119},{"alpha_index":1368,"clock_position":1368,"value":246},{"alpha_index":1738,"clock_position":1738,"value":119},{"alpha_index":2108,"clock_position":2108,"value":611}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-259","alpha_indices":[259,629,999,1369,1739,2109],"clock_positions":[259,629,999,1369,1739,2109],"native_values":[511,219,146,219,511,584],"rotation_degrees":42.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":259,"clock_position":259,"value":511},{"alpha_index":629,"clock_position":629,"value":219},{"alpha_index":999,"clock_position":999,"value":146},{"alpha_index":1369,"clock_position":1369,"value":219},{"alpha_index":1739,"clock_position":1739,"value":511},{"alpha_index":2109,"clock_position":2109,"value":584}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-260","alpha_indices":[260,630,1000,1370,1740,2110],"clock_positions":[260,630,1000,1370,1740,2110],"native_values":[265,100,265,465,630,465],"rotation_degrees":42.16216216216216,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":260,"clock_position":260,"value":265},{"alpha_index":630,"clock_position":630,"value":100},{"alpha_index":1000,"clock_position":1000,"value":265},{"alpha_index":1370,"clock_position":1370,"value":465},{"alpha_index":1740,"clock_position":1740,"value":630},{"alpha_index":2110,"clock_position":2110,"value":465}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-261","alpha_indices":[261,631,1001,1371,1741,2111],"clock_positions":[261,631,1001,1371,1741,2111],"native_values":[46,319,411,684,411,319],"rotation_degrees":42.32432432432432,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":261,"clock_position":261,"value":46},{"alpha_index":631,"clock_position":631,"value":319},{"alpha_index":1001,"clock_position":1001,"value":411},{"alpha_index":1371,"clock_position":1371,"value":684},{"alpha_index":1741,"clock_position":1741,"value":411},{"alpha_index":2111,"clock_position":2111,"value":319}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-262","alpha_indices":[262,632,1002,1372,1742,2112],"clock_positions":[262,632,1002,1372,1742,2112],"native_values":[311,419,676,419,311,54],"rotation_degrees":42.486486486486484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":262,"clock_position":262,"value":311},{"alpha_index":632,"clock_position":632,"value":419},{"alpha_index":1002,"clock_position":1002,"value":676},{"alpha_index":1372,"clock_position":1372,"value":419},{"alpha_index":1742,"clock_position":1742,"value":311},{"alpha_index":2112,"clock_position":2112,"value":54}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-263","alpha_indices":[263,633,1003,1373,1743,2113],"clock_positions":[263,633,1003,1373,1743,2113],"native_values":[357,8,357,373,722,373],"rotation_degrees":42.648648648648646,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":263,"clock_position":263,"value":357},{"alpha_index":633,"clock_position":633,"value":8},{"alpha_index":1003,"clock_position":1003,"value":357},{"alpha_index":1373,"clock_position":1373,"value":373},{"alpha_index":1743,"clock_position":1743,"value":722},{"alpha_index":2113,"clock_position":2113,"value":373}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-264","alpha_indices":[264,634,1004,1374,1744,2114],"clock_positions":[264,634,1004,1374,1744,2114],"native_values":[668,427,303,62,303,427],"rotation_degrees":42.810810810810814,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":264,"clock_position":264,"value":668},{"alpha_index":634,"clock_position":634,"value":427},{"alpha_index":1004,"clock_position":1004,"value":303},{"alpha_index":1374,"clock_position":1374,"value":62},{"alpha_index":1744,"clock_position":1744,"value":303},{"alpha_index":2114,"clock_position":2114,"value":427}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-265","alpha_indices":[265,635,1005,1375,1745,2115],"clock_positions":[265,635,1005,1375,1745,2115],"native_values":[295,435,660,435,295,70],"rotation_degrees":42.972972972972975,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":265,"clock_position":265,"value":295},{"alpha_index":635,"clock_position":635,"value":435},{"alpha_index":1005,"clock_position":1005,"value":660},{"alpha_index":1375,"clock_position":1375,"value":435},{"alpha_index":1745,"clock_position":1745,"value":295},{"alpha_index":2115,"clock_position":2115,"value":70}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-266","alpha_indices":[266,636,1006,1376,1746,2116],"clock_positions":[266,636,1006,1376,1746,2116],"native_values":[233,132,233,497,598,497],"rotation_degrees":43.13513513513514,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":266,"clock_position":266,"value":233},{"alpha_index":636,"clock_position":636,"value":132},{"alpha_index":1006,"clock_position":1006,"value":233},{"alpha_index":1376,"clock_position":1376,"value":497},{"alpha_index":1746,"clock_position":1746,"value":598},{"alpha_index":2116,"clock_position":2116,"value":497}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-267","alpha_indices":[267,637,1007,1377,1747,2117],"clock_positions":[267,637,1007,1377,1747,2117],"native_values":[528,567,163,202,163,567],"rotation_degrees":43.2972972972973,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":267,"clock_position":267,"value":528},{"alpha_index":637,"clock_position":637,"value":567},{"alpha_index":1007,"clock_position":1007,"value":163},{"alpha_index":1377,"clock_position":1377,"value":202},{"alpha_index":1747,"clock_position":1747,"value":163},{"alpha_index":2117,"clock_position":2117,"value":567}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-268","alpha_indices":[268,638,1008,1378,1748,2118],"clock_positions":[268,638,1008,1378,1748,2118],"native_values":[31,699,396,699,31,334],"rotation_degrees":43.45945945945946,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":268,"clock_position":268,"value":31},{"alpha_index":638,"clock_position":638,"value":699},{"alpha_index":1008,"clock_position":1008,"value":396},{"alpha_index":1378,"clock_position":1378,"value":699},{"alpha_index":1748,"clock_position":1748,"value":31},{"alpha_index":2118,"clock_position":2118,"value":334}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-269","alpha_indices":[269,639,1009,1379,1749,2119],"clock_positions":[269,639,1009,1379,1749,2119],"native_values":[559,536,559,171,194,171],"rotation_degrees":43.62162162162162,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":269,"clock_position":269,"value":559},{"alpha_index":639,"clock_position":639,"value":536},{"alpha_index":1009,"clock_position":1009,"value":559},{"alpha_index":1379,"clock_position":1379,"value":171},{"alpha_index":1749,"clock_position":1749,"value":194},{"alpha_index":2119,"clock_position":2119,"value":171}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-270","alpha_indices":[270,640,1010,1380,1750,2120],"clock_positions":[270,640,1010,1380,1750,2120],"native_values":[590,505,225,140,225,505],"rotation_degrees":43.78378378378378,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":270,"clock_position":270,"value":590},{"alpha_index":640,"clock_position":640,"value":505},{"alpha_index":1010,"clock_position":1010,"value":225},{"alpha_index":1380,"clock_position":1380,"value":140},{"alpha_index":1750,"clock_position":1750,"value":225},{"alpha_index":2120,"clock_position":2120,"value":505}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-271","alpha_indices":[271,641,1011,1381,1751,2121],"clock_positions":[271,641,1011,1381,1751,2121],"native_values":[419,311,54,311,419,676],"rotation_degrees":43.945945945945944,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":271,"clock_position":271,"value":419},{"alpha_index":641,"clock_position":641,"value":311},{"alpha_index":1011,"clock_position":1011,"value":54},{"alpha_index":1381,"clock_position":1381,"value":311},{"alpha_index":1751,"clock_position":1751,"value":419},{"alpha_index":2121,"clock_position":2121,"value":676}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-272","alpha_indices":[272,642,1012,1382,1752,2122],"clock_positions":[272,642,1012,1382,1752,2122],"native_values":[279,86,279,451,644,451],"rotation_degrees":44.108108108108105,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":272,"clock_position":272,"value":279},{"alpha_index":642,"clock_position":642,"value":86},{"alpha_index":1012,"clock_position":1012,"value":279},{"alpha_index":1382,"clock_position":1382,"value":451},{"alpha_index":1752,"clock_position":1752,"value":644},{"alpha_index":2122,"clock_position":2122,"value":451}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-273","alpha_indices":[273,643,1013,1383,1753,2123],"clock_positions":[273,643,1013,1383,1753,2123],"native_values":[698,397,333,32,333,397],"rotation_degrees":44.270270270270274,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":273,"clock_position":273,"value":698},{"alpha_index":643,"clock_position":643,"value":397},{"alpha_index":1013,"clock_position":1013,"value":333},{"alpha_index":1383,"clock_position":1383,"value":32},{"alpha_index":1753,"clock_position":1753,"value":333},{"alpha_index":2123,"clock_position":2123,"value":397}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-274","alpha_indices":[274,644,1014,1384,1754,2124],"clock_positions":[274,644,1014,1384,1754,2124],"native_values":[247,483,612,483,247,118],"rotation_degrees":44.432432432432435,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":274,"clock_position":274,"value":247},{"alpha_index":644,"clock_position":644,"value":483},{"alpha_index":1014,"clock_position":1014,"value":612},{"alpha_index":1384,"clock_position":1384,"value":483},{"alpha_index":1754,"clock_position":1754,"value":247},{"alpha_index":2124,"clock_position":2124,"value":118}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-275","alpha_indices":[275,645,1015,1385,1755,2125],"clock_positions":[275,645,1015,1385,1755,2125],"native_values":[215,150,215,515,580,515],"rotation_degrees":44.5945945945946,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":275,"clock_position":275,"value":215},{"alpha_index":645,"clock_position":645,"value":150},{"alpha_index":1015,"clock_position":1015,"value":215},{"alpha_index":1385,"clock_position":1385,"value":515},{"alpha_index":1755,"clock_position":1755,"value":580},{"alpha_index":2125,"clock_position":2125,"value":515}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-276","alpha_indices":[276,646,1016,1386,1756,2126],"clock_positions":[276,646,1016,1386,1756,2126],"native_values":[462,633,97,268,97,633],"rotation_degrees":44.75675675675676,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":276,"clock_position":276,"value":462},{"alpha_index":646,"clock_position":646,"value":633},{"alpha_index":1016,"clock_position":1016,"value":97},{"alpha_index":1386,"clock_position":1386,"value":268},{"alpha_index":1756,"clock_position":1756,"value":97},{"alpha_index":2126,"clock_position":2126,"value":633}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-277","alpha_indices":[277,647,1017,1387,1757,2127],"clock_positions":[277,647,1017,1387,1757,2127],"native_values":[677,53,312,53,677,418],"rotation_degrees":44.91891891891892,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":277,"clock_position":277,"value":677},{"alpha_index":647,"clock_position":647,"value":53},{"alpha_index":1017,"clock_position":1017,"value":312},{"alpha_index":1387,"clock_position":1387,"value":53},{"alpha_index":1757,"clock_position":1757,"value":677},{"alpha_index":2127,"clock_position":2127,"value":418}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-278","alpha_indices":[278,648,1018,1388,1758,2128],"clock_positions":[278,648,1018,1388,1758,2128],"native_values":[409,686,409,321,44,321],"rotation_degrees":45.08108108108108,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":278,"clock_position":278,"value":409},{"alpha_index":648,"clock_position":648,"value":686},{"alpha_index":1018,"clock_position":1018,"value":409},{"alpha_index":1388,"clock_position":1388,"value":321},{"alpha_index":1758,"clock_position":1758,"value":44},{"alpha_index":2128,"clock_position":2128,"value":321}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-279","alpha_indices":[279,649,1019,1389,1759,2129],"clock_positions":[279,649,1019,1389,1759,2129],"native_values":[356,9,721,374,721,9],"rotation_degrees":45.24324324324324,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":279,"clock_position":279,"value":356},{"alpha_index":1019,"clock_position":1019,"value":721},{"alpha_index":1389,"clock_position":1389,"value":374},{"alpha_index":1759,"clock_position":1759,"value":721}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-280","alpha_indices":[280,650,1020,1390,1760,2130],"clock_positions":[280,650,1020,1390,1760,2130],"native_values":[35,695,400,695,35,330],"rotation_degrees":45.4054054054054,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":280,"clock_position":280,"value":35},{"alpha_index":650,"clock_position":650,"value":695},{"alpha_index":1020,"clock_position":1020,"value":400},{"alpha_index":1390,"clock_position":1390,"value":695},{"alpha_index":1760,"clock_position":1760,"value":35},{"alpha_index":2130,"clock_position":2130,"value":330}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-281","alpha_indices":[281,651,1021,1391,1761,2131],"clock_positions":[281,651,1021,1391,1761,2131],"native_values":[391,704,391,339,26,339],"rotation_degrees":45.567567567567565,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":281,"clock_position":281,"value":391},{"alpha_index":651,"clock_position":651,"value":704},{"alpha_index":1021,"clock_position":1021,"value":391},{"alpha_index":1391,"clock_position":1391,"value":339},{"alpha_index":1761,"clock_position":1761,"value":26},{"alpha_index":2131,"clock_position":2131,"value":339}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-282","alpha_indices":[282,652,1022,1392,1762,2132],"clock_positions":[282,652,1022,1392,1762,2132],"native_values":[426,669,61,304,61,669],"rotation_degrees":45.729729729729726,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":282,"clock_position":282,"value":426},{"alpha_index":652,"clock_position":652,"value":669},{"alpha_index":1022,"clock_position":1022,"value":61},{"alpha_index":1392,"clock_position":1392,"value":304},{"alpha_index":1762,"clock_position":1762,"value":61},{"alpha_index":2132,"clock_position":2132,"value":669}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-283","alpha_indices":[283,653,1023,1393,1763,2133],"clock_positions":[283,653,1023,1393,1763,2133],"native_values":[87,643,452,643,87,278],"rotation_degrees":45.891891891891895,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":283,"clock_position":283,"value":87},{"alpha_index":653,"clock_position":653,"value":643},{"alpha_index":1023,"clock_position":1023,"value":452},{"alpha_index":1393,"clock_position":1393,"value":643},{"alpha_index":1763,"clock_position":1763,"value":87},{"alpha_index":2133,"clock_position":2133,"value":278}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-284","alpha_indices":[284,654,1024,1394,1764,2134],"clock_positions":[284,654,1024,1394,1764,2134],"native_values":[513,582,513,217,148,217],"rotation_degrees":46.054054054054056,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":284,"clock_position":284,"value":513},{"alpha_index":654,"clock_position":654,"value":582},{"alpha_index":1024,"clock_position":1024,"value":513},{"alpha_index":1394,"clock_position":1394,"value":217},{"alpha_index":1764,"clock_position":1764,"value":148},{"alpha_index":2134,"clock_position":2134,"value":217}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-285","alpha_indices":[285,655,1025,1395,1765,2135],"clock_positions":[285,655,1025,1395,1765,2135],"native_values":[600,495,235,130,235,495],"rotation_degrees":46.21621621621622,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":285,"clock_position":285,"value":600},{"alpha_index":655,"clock_position":655,"value":495},{"alpha_index":1025,"clock_position":1025,"value":235},{"alpha_index":1395,"clock_position":1395,"value":130},{"alpha_index":1765,"clock_position":1765,"value":235},{"alpha_index":2135,"clock_position":2135,"value":495}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-286","alpha_indices":[286,656,1026,1396,1766,2136],"clock_positions":[286,656,1026,1396,1766,2136],"native_values":[383,347,18,347,383,712],"rotation_degrees":46.37837837837838,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":286,"clock_position":286,"value":383},{"alpha_index":656,"clock_position":656,"value":347},{"alpha_index":1026,"clock_position":1026,"value":18},{"alpha_index":1396,"clock_position":1396,"value":347},{"alpha_index":1766,"clock_position":1766,"value":383},{"alpha_index":2136,"clock_position":2136,"value":712}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-287","alpha_indices":[287,657,1027,1397,1767,2137],"clock_positions":[287,657,1027,1397,1767,2137],"native_values":[253,112,253,477,618,477],"rotation_degrees":46.54054054054054,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":287,"clock_position":287,"value":253},{"alpha_index":657,"clock_position":657,"value":112},{"alpha_index":1027,"clock_position":1027,"value":253},{"alpha_index":1397,"clock_position":1397,"value":477},{"alpha_index":1767,"clock_position":1767,"value":618},{"alpha_index":2137,"clock_position":2137,"value":477}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-288","alpha_indices":[288,658,1028,1398,1768,2138],"clock_positions":[288,658,1028,1398,1768,2138],"native_values":[636,459,271,94,271,459],"rotation_degrees":46.7027027027027,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":288,"clock_position":288,"value":636},{"alpha_index":658,"clock_position":658,"value":459},{"alpha_index":1028,"clock_position":1028,"value":271},{"alpha_index":1398,"clock_position":1398,"value":94},{"alpha_index":1768,"clock_position":1768,"value":271},{"alpha_index":2138,"clock_position":2138,"value":459}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-289","alpha_indices":[289,659,1029,1399,1769,2139],"clock_positions":[289,659,1029,1399,1769,2139],"native_values":[159,571,524,571,159,206],"rotation_degrees":46.86486486486486,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":289,"clock_position":289,"value":159},{"alpha_index":659,"clock_position":659,"value":571},{"alpha_index":1029,"clock_position":1029,"value":524},{"alpha_index":1399,"clock_position":1399,"value":571},{"alpha_index":1769,"clock_position":1769,"value":159},{"alpha_index":2139,"clock_position":2139,"value":206}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-290","alpha_indices":[290,660,1030,1400,1770,2140],"clock_positions":[290,660,1030,1400,1770,2140],"native_values":[65,300,65,665,430,665],"rotation_degrees":47.027027027027025,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":290,"clock_position":290,"value":65},{"alpha_index":660,"clock_position":660,"value":300},{"alpha_index":1030,"clock_position":1030,"value":65},{"alpha_index":1400,"clock_position":1400,"value":665},{"alpha_index":1770,"clock_position":1770,"value":430},{"alpha_index":2140,"clock_position":2140,"value":665}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-291","alpha_indices":[291,661,1031,1401,1771,2141],"clock_positions":[291,661,1031,1401,1771,2141],"native_values":[224,141,589,506,589,141],"rotation_degrees":47.189189189189186,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":291,"clock_position":291,"value":224},{"alpha_index":661,"clock_position":661,"value":141},{"alpha_index":1031,"clock_position":1031,"value":589},{"alpha_index":1401,"clock_position":1401,"value":506},{"alpha_index":1771,"clock_position":1771,"value":589},{"alpha_index":2141,"clock_position":2141,"value":141}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-292","alpha_indices":[292,662,1032,1402,1772,2142],"clock_positions":[292,662,1032,1402,1772,2142],"native_values":[289,441,654,441,289,76],"rotation_degrees":47.351351351351354,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":292,"clock_position":292,"value":289},{"alpha_index":662,"clock_position":662,"value":441},{"alpha_index":1032,"clock_position":1032,"value":654},{"alpha_index":1402,"clock_position":1402,"value":441},{"alpha_index":1772,"clock_position":1772,"value":289},{"alpha_index":2142,"clock_position":2142,"value":76}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-293","alpha_indices":[293,663,1033,1403,1773,2143],"clock_positions":[293,663,1033,1403,1773,2143],"native_values":[513,582,513,217,148,217],"rotation_degrees":47.513513513513516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":293,"clock_position":293,"value":513},{"alpha_index":663,"clock_position":663,"value":582},{"alpha_index":1033,"clock_position":1033,"value":513},{"alpha_index":1403,"clock_position":1403,"value":217},{"alpha_index":1773,"clock_position":1773,"value":148},{"alpha_index":2143,"clock_position":2143,"value":217}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-294","alpha_indices":[294,664,1034,1404,1774,2144],"clock_positions":[294,664,1034,1404,1774,2144],"native_values":[72,293,437,658,437,293],"rotation_degrees":47.67567567567568,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":294,"clock_position":294,"value":72},{"alpha_index":664,"clock_position":664,"value":293},{"alpha_index":1034,"clock_position":1034,"value":437},{"alpha_index":1404,"clock_position":1404,"value":658},{"alpha_index":1774,"clock_position":1774,"value":437},{"alpha_index":2144,"clock_position":2144,"value":293}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-295","alpha_indices":[295,665,1035,1405,1775,2145],"clock_positions":[295,665,1035,1405,1775,2145],"native_values":[585,145,220,145,585,510],"rotation_degrees":47.83783783783784,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":295,"clock_position":295,"value":585},{"alpha_index":665,"clock_position":665,"value":145},{"alpha_index":1035,"clock_position":1035,"value":220},{"alpha_index":1405,"clock_position":1405,"value":145},{"alpha_index":1775,"clock_position":1775,"value":585},{"alpha_index":2145,"clock_position":2145,"value":510}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-296","alpha_indices":[296,666,1036,1406,1776,2146],"clock_positions":[296,666,1036,1406,1776,2146],"native_values":[657,438,657,73,292,73],"rotation_degrees":48.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":296,"clock_position":296,"value":657},{"alpha_index":666,"clock_position":666,"value":438},{"alpha_index":1036,"clock_position":1036,"value":657},{"alpha_index":1406,"clock_position":1406,"value":73},{"alpha_index":1776,"clock_position":1776,"value":292},{"alpha_index":2146,"clock_position":2146,"value":73}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-297","alpha_indices":[297,667,1037,1407,1777,2147],"clock_positions":[297,667,1037,1407,1777,2147],"native_values":[512,583,147,218,147,583],"rotation_degrees":48.16216216216216,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":297,"clock_position":297,"value":512},{"alpha_index":667,"clock_position":667,"value":583},{"alpha_index":1037,"clock_position":1037,"value":147},{"alpha_index":1407,"clock_position":1407,"value":218},{"alpha_index":1777,"clock_position":1777,"value":147},{"alpha_index":2147,"clock_position":2147,"value":583}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-298","alpha_indices":[298,668,1038,1408,1778,2148],"clock_positions":[298,668,1038,1408,1778,2148],"native_values":[439,291,74,291,439,656],"rotation_degrees":48.32432432432432,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":298,"clock_position":298,"value":439},{"alpha_index":668,"clock_position":668,"value":291},{"alpha_index":1038,"clock_position":1038,"value":74},{"alpha_index":1408,"clock_position":1408,"value":291},{"alpha_index":1778,"clock_position":1778,"value":439},{"alpha_index":2148,"clock_position":2148,"value":656}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-299","alpha_indices":[299,669,1039,1409,1779,2149],"clock_positions":[299,669,1039,1409,1779,2149],"native_values":[221,144,221,509,586,509],"rotation_degrees":48.486486486486484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":299,"clock_position":299,"value":221},{"alpha_index":669,"clock_position":669,"value":144},{"alpha_index":1039,"clock_position":1039,"value":221},{"alpha_index":1409,"clock_position":1409,"value":509},{"alpha_index":1779,"clock_position":1779,"value":586},{"alpha_index":2149,"clock_position":2149,"value":509}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-300","alpha_indices":[300,670,1040,1410,1780,2150],"clock_positions":[300,670,1040,1410,1780,2150],"native_values":[660,435,295,70,295,435],"rotation_degrees":48.648648648648646,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":300,"clock_position":300,"value":660},{"alpha_index":670,"clock_position":670,"value":435},{"alpha_index":1040,"clock_position":1040,"value":295},{"alpha_index":1410,"clock_position":1410,"value":70},{"alpha_index":1780,"clock_position":1780,"value":295},{"alpha_index":2150,"clock_position":2150,"value":435}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-301","alpha_indices":[301,671,1041,1411,1781,2151],"clock_positions":[301,671,1041,1411,1781,2151],"native_values":[151,579,516,579,151,214],"rotation_degrees":48.810810810810814,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":301,"clock_position":301,"value":151},{"alpha_index":671,"clock_position":671,"value":579},{"alpha_index":1041,"clock_position":1041,"value":516},{"alpha_index":1411,"clock_position":1411,"value":579},{"alpha_index":1781,"clock_position":1781,"value":151},{"alpha_index":2151,"clock_position":2151,"value":214}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-302","alpha_indices":[302,672,1042,1412,1782,2152],"clock_positions":[302,672,1042,1412,1782,2152],"native_values":[81,284,81,649,446,649],"rotation_degrees":48.972972972972975,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":302,"clock_position":302,"value":81},{"alpha_index":672,"clock_position":672,"value":284},{"alpha_index":1042,"clock_position":1042,"value":81},{"alpha_index":1412,"clock_position":1412,"value":649},{"alpha_index":1782,"clock_position":1782,"value":446},{"alpha_index":2152,"clock_position":2152,"value":649}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-303","alpha_indices":[303,673,1043,1413,1783,2153],"clock_positions":[303,673,1043,1413,1783,2153],"native_values":[232,133,597,498,597,133],"rotation_degrees":49.13513513513514,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":303,"clock_position":303,"value":232},{"alpha_index":673,"clock_position":673,"value":133},{"alpha_index":1043,"clock_position":1043,"value":597},{"alpha_index":1413,"clock_position":1413,"value":498},{"alpha_index":1783,"clock_position":1783,"value":597},{"alpha_index":2153,"clock_position":2153,"value":133}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-304","alpha_indices":[304,674,1044,1414,1784,2154],"clock_positions":[304,674,1044,1414,1784,2154],"native_values":[313,417,678,417,313,52],"rotation_degrees":49.2972972972973,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":304,"clock_position":304,"value":313},{"alpha_index":674,"clock_position":674,"value":417},{"alpha_index":1044,"clock_position":1044,"value":678},{"alpha_index":1414,"clock_position":1414,"value":417},{"alpha_index":1784,"clock_position":1784,"value":313},{"alpha_index":2154,"clock_position":2154,"value":52}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-305","alpha_indices":[305,675,1045,1415,1785,2155],"clock_positions":[305,675,1045,1415,1785,2155],"native_values":[545,550,545,185,180,185],"rotation_degrees":49.45945945945946,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":305,"clock_position":305,"value":545},{"alpha_index":675,"clock_position":675,"value":550},{"alpha_index":1045,"clock_position":1045,"value":545},{"alpha_index":1415,"clock_position":1415,"value":185},{"alpha_index":1785,"clock_position":1785,"value":180},{"alpha_index":2155,"clock_position":2155,"value":185}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-306","alpha_indices":[306,676,1046,1416,1786,2156],"clock_positions":[306,676,1046,1416,1786,2156],"native_values":[128,237,493,602,493,237],"rotation_degrees":49.62162162162162,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":306,"clock_position":306,"value":128},{"alpha_index":676,"clock_position":676,"value":237},{"alpha_index":1046,"clock_position":1046,"value":493},{"alpha_index":1416,"clock_position":1416,"value":602},{"alpha_index":1786,"clock_position":1786,"value":493},{"alpha_index":2156,"clock_position":2156,"value":237}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-307","alpha_indices":[307,677,1047,1417,1787,2157],"clock_positions":[307,677,1047,1417,1787,2157],"native_values":[673,57,308,57,673,422],"rotation_degrees":49.78378378378378,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":307,"clock_position":307,"value":673},{"alpha_index":677,"clock_position":677,"value":57},{"alpha_index":1047,"clock_position":1047,"value":308},{"alpha_index":1417,"clock_position":1417,"value":57},{"alpha_index":1787,"clock_position":1787,"value":673},{"alpha_index":2157,"clock_position":2157,"value":422}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-308","alpha_indices":[308,678,1048,1418,1788,2158],"clock_positions":[308,678,1048,1418,1788,2158],"native_values":[71,294,71,659,436,659],"rotation_degrees":49.945945945945944,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":308,"clock_position":308,"value":71},{"alpha_index":678,"clock_position":678,"value":294},{"alpha_index":1048,"clock_position":1048,"value":71},{"alpha_index":1418,"clock_position":1418,"value":659},{"alpha_index":1788,"clock_position":1788,"value":436},{"alpha_index":2158,"clock_position":2158,"value":659}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-309","alpha_indices":[309,679,1049,1419,1789,2159],"clock_positions":[309,679,1049,1419,1789,2159],"native_values":[14,351,379,716,379,351],"rotation_degrees":50.108108108108105,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":309,"clock_position":309,"value":14},{"alpha_index":679,"clock_position":679,"value":351},{"alpha_index":1049,"clock_position":1049,"value":379},{"alpha_index":1419,"clock_position":1419,"value":716},{"alpha_index":1789,"clock_position":1789,"value":379},{"alpha_index":2159,"clock_position":2159,"value":351}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-310","alpha_indices":[310,680,1050,1420,1790,2160],"clock_positions":[310,680,1050,1420,1790,2160],"native_values":[85,645,450,645,85,280],"rotation_degrees":50.270270270270274,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":310,"clock_position":310,"value":85},{"alpha_index":680,"clock_position":680,"value":645},{"alpha_index":1050,"clock_position":1050,"value":450},{"alpha_index":1420,"clock_position":1420,"value":645},{"alpha_index":1790,"clock_position":1790,"value":85},{"alpha_index":2160,"clock_position":2160,"value":280}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-311","alpha_indices":[311,681,1051,1421,1791,2161],"clock_positions":[311,681,1051,1421,1791,2161],"native_values":[99,266,99,631,464,631],"rotation_degrees":50.432432432432435,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":311,"clock_position":311,"value":99},{"alpha_index":681,"clock_position":681,"value":266},{"alpha_index":1051,"clock_position":1051,"value":99},{"alpha_index":1421,"clock_position":1421,"value":631},{"alpha_index":1791,"clock_position":1791,"value":464},{"alpha_index":2161,"clock_position":2161,"value":631}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-312","alpha_indices":[312,682,1052,1422,1792,2162],"clock_positions":[312,682,1052,1422,1792,2162],"native_values":[184,181,549,546,549,181],"rotation_degrees":50.5945945945946,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":312,"clock_position":312,"value":184},{"alpha_index":682,"clock_position":682,"value":181},{"alpha_index":1052,"clock_position":1052,"value":549},{"alpha_index":1422,"clock_position":1422,"value":546},{"alpha_index":1792,"clock_position":1792,"value":549},{"alpha_index":2162,"clock_position":2162,"value":181}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-313","alpha_indices":[313,683,1053,1423,1793,2163],"clock_positions":[313,683,1053,1423,1793,2163],"native_values":[283,447,648,447,283,82],"rotation_degrees":50.75675675675676,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":313,"clock_position":313,"value":283},{"alpha_index":683,"clock_position":683,"value":447},{"alpha_index":1053,"clock_position":1053,"value":648},{"alpha_index":1423,"clock_position":1423,"value":447},{"alpha_index":1793,"clock_position":1793,"value":283},{"alpha_index":2163,"clock_position":2163,"value":82}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-314","alpha_indices":[314,684,1054,1424,1794,2164],"clock_positions":[314,684,1054,1424,1794,2164],"native_values":[467,628,467,263,102,263],"rotation_degrees":50.91891891891892,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":314,"clock_position":314,"value":467},{"alpha_index":684,"clock_position":684,"value":628},{"alpha_index":1054,"clock_position":1054,"value":467},{"alpha_index":1424,"clock_position":1424,"value":263},{"alpha_index":1794,"clock_position":1794,"value":102},{"alpha_index":2164,"clock_position":2164,"value":263}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-315","alpha_indices":[315,685,1055,1425,1795,2165],"clock_positions":[315,685,1055,1425,1795,2165],"native_values":[20,345,385,710,385,345],"rotation_degrees":51.08108108108108,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":315,"clock_position":315,"value":20},{"alpha_index":685,"clock_position":685,"value":345},{"alpha_index":1055,"clock_position":1055,"value":385},{"alpha_index":1425,"clock_position":1425,"value":710},{"alpha_index":1795,"clock_position":1795,"value":385},{"alpha_index":2165,"clock_position":2165,"value":345}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-316","alpha_indices":[316,686,1056,1426,1796,2166],"clock_positions":[316,686,1056,1426,1796,2166],"native_values":[487,243,122,243,487,608],"rotation_degrees":51.24324324324324,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":316,"clock_position":316,"value":487},{"alpha_index":686,"clock_position":686,"value":243},{"alpha_index":1056,"clock_position":1056,"value":122},{"alpha_index":1426,"clock_position":1426,"value":243},{"alpha_index":1796,"clock_position":1796,"value":487},{"alpha_index":2166,"clock_position":2166,"value":608}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-317","alpha_indices":[317,687,1057,1427,1797,2167],"clock_positions":[317,687,1057,1427,1797,2167],"native_values":[507,588,507,223,142,223],"rotation_degrees":51.4054054054054,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":317,"clock_position":317,"value":507},{"alpha_index":687,"clock_position":687,"value":588},{"alpha_index":1057,"clock_position":1057,"value":507},{"alpha_index":1427,"clock_position":1427,"value":223},{"alpha_index":1797,"clock_position":1797,"value":142},{"alpha_index":2167,"clock_position":2167,"value":223}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-318","alpha_indices":[318,688,1058,1428,1798,2168],"clock_positions":[318,688,1058,1428,1798,2168],"native_values":[264,101,629,466,629,101],"rotation_degrees":51.567567567567565,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":318,"clock_position":318,"value":264},{"alpha_index":688,"clock_position":688,"value":101},{"alpha_index":1058,"clock_position":1058,"value":629},{"alpha_index":1428,"clock_position":1428,"value":466},{"alpha_index":1798,"clock_position":1798,"value":629},{"alpha_index":2168,"clock_position":2168,"value":101}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-319","alpha_indices":[319,689,1059,1429,1799,2169],"clock_positions":[319,689,1059,1429,1799,2169],"native_values":[41,689,406,689,41,324],"rotation_degrees":51.729729729729726,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":319,"clock_position":319,"value":41},{"alpha_index":689,"clock_position":689,"value":689},{"alpha_index":1059,"clock_position":1059,"value":406},{"alpha_index":1429,"clock_position":1429,"value":689},{"alpha_index":1799,"clock_position":1799,"value":41},{"alpha_index":2169,"clock_position":2169,"value":324}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-320","alpha_indices":[320,690,1060,1430,1800,2170],"clock_positions":[320,690,1060,1430,1800,2170],"native_values":[305,60,305,425,670,425],"rotation_degrees":51.891891891891895,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":320,"clock_position":320,"value":305},{"alpha_index":690,"clock_position":690,"value":60},{"alpha_index":1060,"clock_position":1060,"value":305},{"alpha_index":1430,"clock_position":1430,"value":425},{"alpha_index":1800,"clock_position":1800,"value":670},{"alpha_index":2170,"clock_position":2170,"value":425}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-321","alpha_indices":[321,691,1061,1431,1801,2171],"clock_positions":[321,691,1061,1431,1801,2171],"native_values":[346,19,711,384,711,19],"rotation_degrees":52.054054054054056,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":321,"clock_position":321,"value":346},{"alpha_index":691,"clock_position":691,"value":19},{"alpha_index":1061,"clock_position":1061,"value":711},{"alpha_index":1431,"clock_position":1431,"value":384},{"alpha_index":1801,"clock_position":1801,"value":711},{"alpha_index":2171,"clock_position":2171,"value":19}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-322","alpha_indices":[322,692,1062,1432,1802,2172],"clock_positions":[322,692,1062,1432,1802,2172],"native_values":[651,79,286,79,651,444],"rotation_degrees":52.21621621621622,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":322,"clock_position":322,"value":651},{"alpha_index":692,"clock_position":692,"value":79},{"alpha_index":1062,"clock_position":1062,"value":286},{"alpha_index":1432,"clock_position":1432,"value":79},{"alpha_index":1802,"clock_position":1802,"value":651},{"alpha_index":2172,"clock_position":2172,"value":444}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-323","alpha_indices":[323,693,1063,1433,1803,2173],"clock_positions":[323,693,1063,1433,1803,2173],"native_values":[267,98,267,463,632,463],"rotation_degrees":52.37837837837838,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":323,"clock_position":323,"value":267},{"alpha_index":693,"clock_position":693,"value":98},{"alpha_index":1063,"clock_position":1063,"value":267},{"alpha_index":1433,"clock_position":1433,"value":463},{"alpha_index":1803,"clock_position":1803,"value":632},{"alpha_index":2173,"clock_position":2173,"value":463}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-324","alpha_indices":[324,694,1064,1434,1804,2174],"clock_positions":[324,694,1064,1434,1804,2174],"native_values":[188,177,553,542,553,177],"rotation_degrees":52.54054054054054,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":324,"clock_position":324,"value":188},{"alpha_index":694,"clock_position":694,"value":177},{"alpha_index":1064,"clock_position":1064,"value":553},{"alpha_index":1434,"clock_position":1434,"value":542},{"alpha_index":1804,"clock_position":1804,"value":553},{"alpha_index":2174,"clock_position":2174,"value":177}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-325","alpha_indices":[325,695,1065,1435,1805,2175],"clock_positions":[325,695,1065,1435,1805,2175],"native_values":[455,275,90,275,455,640],"rotation_degrees":52.7027027027027,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":325,"clock_position":325,"value":455},{"alpha_index":695,"clock_position":695,"value":275},{"alpha_index":1065,"clock_position":1065,"value":90},{"alpha_index":1435,"clock_position":1435,"value":275},{"alpha_index":1805,"clock_position":1805,"value":455},{"alpha_index":2175,"clock_position":2175,"value":640}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-326","alpha_indices":[326,696,1066,1436,1806,2176],"clock_positions":[326,696,1066,1436,1806,2176],"native_values":[643,452,643,87,278,87],"rotation_degrees":52.86486486486486,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":326,"clock_position":326,"value":643},{"alpha_index":696,"clock_position":696,"value":452},{"alpha_index":1066,"clock_position":1066,"value":643},{"alpha_index":1436,"clock_position":1436,"value":87},{"alpha_index":1806,"clock_position":1806,"value":278},{"alpha_index":2176,"clock_position":2176,"value":87}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-327","alpha_indices":[327,697,1067,1437,1807,2177],"clock_positions":[327,697,1067,1437,1807,2177],"native_values":[368,727,3,362,3,727],"rotation_degrees":53.027027027027025,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":327,"clock_position":327,"value":368},{"alpha_index":697,"clock_position":697,"value":727},{"alpha_index":1437,"clock_position":1437,"value":362},{"alpha_index":2177,"clock_position":2177,"value":727}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-328","alpha_indices":[328,698,1068,1438,1808,2178],"clock_positions":[328,698,1068,1438,1808,2178],"native_values":[281,449,646,449,281,84],"rotation_degrees":53.189189189189186,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":328,"clock_position":328,"value":281},{"alpha_index":698,"clock_position":698,"value":449},{"alpha_index":1068,"clock_position":1068,"value":646},{"alpha_index":1438,"clock_position":1438,"value":449},{"alpha_index":1808,"clock_position":1808,"value":281},{"alpha_index":2178,"clock_position":2178,"value":84}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-329","alpha_indices":[329,699,1069,1439,1809,2179],"clock_positions":[329,699,1069,1439,1809,2179],"native_values":[649,446,649,81,284,81],"rotation_degrees":53.351351351351354,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":329,"clock_position":329,"value":649},{"alpha_index":699,"clock_position":699,"value":446},{"alpha_index":1069,"clock_position":1069,"value":649},{"alpha_index":1439,"clock_position":1439,"value":81},{"alpha_index":1809,"clock_position":1809,"value":284},{"alpha_index":2179,"clock_position":2179,"value":81}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-330","alpha_indices":[330,700,1070,1440,1810,2180],"clock_positions":[330,700,1070,1440,1810,2180],"native_values":[200,165,565,530,565,165],"rotation_degrees":53.513513513513516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":330,"clock_position":330,"value":200},{"alpha_index":700,"clock_position":700,"value":165},{"alpha_index":1070,"clock_position":1070,"value":565},{"alpha_index":1440,"clock_position":1440,"value":530},{"alpha_index":1810,"clock_position":1810,"value":565},{"alpha_index":2180,"clock_position":2180,"value":165}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-331","alpha_indices":[331,701,1071,1441,1811,2181],"clock_positions":[331,701,1071,1441,1811,2181],"native_values":[119,611,484,611,119,246],"rotation_degrees":53.67567567567568,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":331,"clock_position":331,"value":119},{"alpha_index":701,"clock_position":701,"value":611},{"alpha_index":1071,"clock_position":1071,"value":484},{"alpha_index":1441,"clock_position":1441,"value":611},{"alpha_index":1811,"clock_position":1811,"value":119},{"alpha_index":2181,"clock_position":2181,"value":246}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-332","alpha_indices":[332,702,1072,1442,1812,2182],"clock_positions":[332,702,1072,1442,1812,2182],"native_values":[319,46,319,411,684,411],"rotation_degrees":53.83783783783784,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":332,"clock_position":332,"value":319},{"alpha_index":702,"clock_position":702,"value":46},{"alpha_index":1072,"clock_position":1072,"value":319},{"alpha_index":1442,"clock_position":1442,"value":411},{"alpha_index":1812,"clock_position":1812,"value":684},{"alpha_index":2182,"clock_position":2182,"value":411}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-333","alpha_indices":[333,703,1073,1443,1813,2183],"clock_positions":[333,703,1073,1443,1813,2183],"native_values":[438,657,73,292,73,657],"rotation_degrees":54.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":333,"clock_position":333,"value":438},{"alpha_index":703,"clock_position":703,"value":657},{"alpha_index":1073,"clock_position":1073,"value":73},{"alpha_index":1443,"clock_position":1443,"value":292},{"alpha_index":1813,"clock_position":1813,"value":73},{"alpha_index":2183,"clock_position":2183,"value":657}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-334","alpha_indices":[334,704,1074,1444,1814,2184],"clock_positions":[334,704,1074,1444,1814,2184],"native_values":[27,703,392,703,27,338],"rotation_degrees":54.16216216216216,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":334,"clock_position":334,"value":27},{"alpha_index":704,"clock_position":704,"value":703},{"alpha_index":1074,"clock_position":1074,"value":392},{"alpha_index":1444,"clock_position":1444,"value":703},{"alpha_index":1814,"clock_position":1814,"value":27},{"alpha_index":2184,"clock_position":2184,"value":338}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-335","alpha_indices":[335,705,1075,1445,1815,2185],"clock_positions":[335,705,1075,1445,1815,2185],"native_values":[465,630,465,265,100,265],"rotation_degrees":54.32432432432432,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":335,"clock_position":335,"value":465},{"alpha_index":705,"clock_position":705,"value":630},{"alpha_index":1075,"clock_position":1075,"value":465},{"alpha_index":1445,"clock_position":1445,"value":265},{"alpha_index":1815,"clock_position":1815,"value":100},{"alpha_index":2185,"clock_position":2185,"value":265}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-336","alpha_indices":[336,706,1076,1446,1816,2186],"clock_positions":[336,706,1076,1446,1816,2186],"native_values":[492,603,127,238,127,603],"rotation_degrees":54.486486486486484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":336,"clock_position":336,"value":492},{"alpha_index":706,"clock_position":706,"value":603},{"alpha_index":1076,"clock_position":1076,"value":127},{"alpha_index":1446,"clock_position":1446,"value":238},{"alpha_index":1816,"clock_position":1816,"value":127},{"alpha_index":2186,"clock_position":2186,"value":603}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-337","alpha_indices":[337,707,1077,1447,1817,2187],"clock_positions":[337,707,1077,1447,1817,2187],"native_values":[227,503,592,503,227,138],"rotation_degrees":54.648648648648646,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":337,"clock_position":337,"value":227},{"alpha_index":707,"clock_position":707,"value":503},{"alpha_index":1077,"clock_position":1077,"value":592},{"alpha_index":1447,"clock_position":1447,"value":503},{"alpha_index":1817,"clock_position":1817,"value":227},{"alpha_index":2187,"clock_position":2187,"value":138}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-338","alpha_indices":[338,708,1078,1448,1818,2188],"clock_positions":[338,708,1078,1448,1818,2188],"native_values":[719,376,719,11,354,11],"rotation_degrees":54.810810810810814,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":338,"clock_position":338,"value":719},{"alpha_index":708,"clock_position":708,"value":376},{"alpha_index":1078,"clock_position":1078,"value":719},{"alpha_index":1448,"clock_position":1448,"value":11},{"alpha_index":1818,"clock_position":1818,"value":354},{"alpha_index":2188,"clock_position":2188,"value":11}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-339","alpha_indices":[339,709,1079,1449,1819,2189],"clock_positions":[339,709,1079,1449,1819,2189],"native_values":[216,149,581,514,581,149],"rotation_degrees":54.972972972972975,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":339,"clock_position":339,"value":216},{"alpha_index":709,"clock_position":709,"value":149},{"alpha_index":1079,"clock_position":1079,"value":581},{"alpha_index":1449,"clock_position":1449,"value":514},{"alpha_index":1819,"clock_position":1819,"value":581},{"alpha_index":2189,"clock_position":2189,"value":149}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-340","alpha_indices":[340,710,1080,1450,1820,2190],"clock_positions":[340,710,1080,1450,1820,2190],"native_values":[205,525,570,525,205,160],"rotation_degrees":55.13513513513514,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":340,"clock_position":340,"value":205},{"alpha_index":710,"clock_position":710,"value":525},{"alpha_index":1080,"clock_position":1080,"value":570},{"alpha_index":1450,"clock_position":1450,"value":525},{"alpha_index":1820,"clock_position":1820,"value":205},{"alpha_index":2190,"clock_position":2190,"value":160}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-341","alpha_indices":[341,711,1081,1451,1821,2191],"clock_positions":[341,711,1081,1451,1821,2191],"native_values":[421,674,421,309,56,309],"rotation_degrees":55.2972972972973,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":341,"clock_position":341,"value":421},{"alpha_index":711,"clock_position":711,"value":674},{"alpha_index":1081,"clock_position":1081,"value":421},{"alpha_index":1451,"clock_position":1451,"value":309},{"alpha_index":1821,"clock_position":1821,"value":56},{"alpha_index":2191,"clock_position":2191,"value":309}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-342","alpha_indices":[342,712,1082,1452,1822,2192],"clock_positions":[342,712,1082,1452,1822,2192],"native_values":[626,469,261,104,261,469],"rotation_degrees":55.45945945945946,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":342,"clock_position":342,"value":626},{"alpha_index":712,"clock_position":712,"value":469},{"alpha_index":1082,"clock_position":1082,"value":261},{"alpha_index":1452,"clock_position":1452,"value":104},{"alpha_index":1822,"clock_position":1822,"value":261},{"alpha_index":2192,"clock_position":2192,"value":469}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-343","alpha_indices":[343,713,1083,1453,1823,2193],"clock_positions":[343,713,1083,1453,1823,2193],"native_values":[317,413,682,413,317,48],"rotation_degrees":55.62162162162162,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":343,"clock_position":343,"value":317},{"alpha_index":713,"clock_position":713,"value":413},{"alpha_index":1083,"clock_position":1083,"value":682},{"alpha_index":1453,"clock_position":1453,"value":413},{"alpha_index":1823,"clock_position":1823,"value":317},{"alpha_index":2193,"clock_position":2193,"value":48}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-344","alpha_indices":[344,714,1084,1454,1824,2194],"clock_positions":[344,714,1084,1454,1824,2194],"native_values":[213,152,213,517,578,517],"rotation_degrees":55.78378378378378,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":344,"clock_position":344,"value":213},{"alpha_index":714,"clock_position":714,"value":152},{"alpha_index":1084,"clock_position":1084,"value":213},{"alpha_index":1454,"clock_position":1454,"value":517},{"alpha_index":1824,"clock_position":1824,"value":578},{"alpha_index":2194,"clock_position":2194,"value":517}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-345","alpha_indices":[345,715,1085,1455,1825,2195],"clock_positions":[345,715,1085,1455,1825,2195],"native_values":[530,565,165,200,165,565],"rotation_degrees":55.945945945945944,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":345,"clock_position":345,"value":530},{"alpha_index":715,"clock_position":715,"value":565},{"alpha_index":1085,"clock_position":1085,"value":165},{"alpha_index":1455,"clock_position":1455,"value":200},{"alpha_index":1825,"clock_position":1825,"value":165},{"alpha_index":2195,"clock_position":2195,"value":565}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-346","alpha_indices":[346,716,1086,1456,1826,2196],"clock_positions":[346,716,1086,1456,1826,2196],"native_values":[13,717,378,717,13,352],"rotation_degrees":56.108108108108105,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":346,"clock_position":346,"value":13},{"alpha_index":716,"clock_position":716,"value":717},{"alpha_index":1086,"clock_position":1086,"value":378},{"alpha_index":1456,"clock_position":1456,"value":717},{"alpha_index":1826,"clock_position":1826,"value":13},{"alpha_index":2196,"clock_position":2196,"value":352}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-347","alpha_indices":[347,717,1087,1457,1827,2197],"clock_positions":[347,717,1087,1457,1827,2197],"native_values":[543,552,543,187,178,187],"rotation_degrees":56.270270270270274,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":347,"clock_position":347,"value":543},{"alpha_index":717,"clock_position":717,"value":552},{"alpha_index":1087,"clock_position":1087,"value":543},{"alpha_index":1457,"clock_position":1457,"value":187},{"alpha_index":1827,"clock_position":1827,"value":178},{"alpha_index":2197,"clock_position":2197,"value":187}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-348","alpha_indices":[348,718,1088,1458,1828,2198],"clock_positions":[348,718,1088,1458,1828,2198],"native_values":[556,539,191,174,191,539],"rotation_degrees":56.432432432432435,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":348,"clock_position":348,"value":556},{"alpha_index":718,"clock_position":718,"value":539},{"alpha_index":1088,"clock_position":1088,"value":191},{"alpha_index":1458,"clock_position":1458,"value":174},{"alpha_index":1828,"clock_position":1828,"value":191},{"alpha_index":2198,"clock_position":2198,"value":539}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-349","alpha_indices":[349,719,1089,1459,1829,2199],"clock_positions":[349,719,1089,1459,1829,2199],"native_values":[369,361,4,361,369,726],"rotation_degrees":56.5945945945946,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":349,"clock_position":349,"value":369},{"alpha_index":719,"clock_position":719,"value":361},{"alpha_index":1089,"clock_position":1089,"value":4},{"alpha_index":1459,"clock_position":1459,"value":361},{"alpha_index":1829,"clock_position":1829,"value":369},{"alpha_index":2199,"clock_position":2199,"value":726}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-350","alpha_indices":[350,720,1090,1460,1830,2200],"clock_positions":[350,720,1090,1460,1830,2200],"native_values":[195,170,195,535,560,535],"rotation_degrees":56.75675675675676,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":350,"clock_position":350,"value":195},{"alpha_index":720,"clock_position":720,"value":170},{"alpha_index":1090,"clock_position":1090,"value":195},{"alpha_index":1460,"clock_position":1460,"value":535},{"alpha_index":1830,"clock_position":1830,"value":560},{"alpha_index":2200,"clock_position":2200,"value":535}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-351","alpha_indices":[351,721,1091,1461,1831,2201],"clock_positions":[351,721,1091,1461,1831,2201],"native_values":[564,531,199,166,199,531],"rotation_degrees":56.91891891891892,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":351,"clock_position":351,"value":564},{"alpha_index":721,"clock_position":721,"value":531},{"alpha_index":1091,"clock_position":1091,"value":199},{"alpha_index":1461,"clock_position":1461,"value":166},{"alpha_index":1831,"clock_position":1831,"value":199},{"alpha_index":2201,"clock_position":2201,"value":531}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-352","alpha_indices":[352,722,1092,1462,1832,2202],"clock_positions":[352,722,1092,1462,1832,2202],"native_values":[29,701,394,701,29,336],"rotation_degrees":57.08108108108108,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":352,"clock_position":352,"value":29},{"alpha_index":722,"clock_position":722,"value":701},{"alpha_index":1092,"clock_position":1092,"value":394},{"alpha_index":1462,"clock_position":1462,"value":701},{"alpha_index":1832,"clock_position":1832,"value":29},{"alpha_index":2202,"clock_position":2202,"value":336}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-353","alpha_indices":[353,723,1093,1463,1833,2203],"clock_positions":[353,723,1093,1463,1833,2203],"native_values":[593,502,593,137,228,137],"rotation_degrees":57.24324324324324,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":353,"clock_position":353,"value":593},{"alpha_index":723,"clock_position":723,"value":502},{"alpha_index":1093,"clock_position":1093,"value":593},{"alpha_index":1463,"clock_position":1463,"value":137},{"alpha_index":1833,"clock_position":1833,"value":228},{"alpha_index":2203,"clock_position":2203,"value":137}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-354","alpha_indices":[354,724,1094,1464,1834,2204],"clock_positions":[354,724,1094,1464,1834,2204],"native_values":[622,473,257,108,257,473],"rotation_degrees":57.4054054054054,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":354,"clock_position":354,"value":622},{"alpha_index":724,"clock_position":724,"value":473},{"alpha_index":1094,"clock_position":1094,"value":257},{"alpha_index":1464,"clock_position":1464,"value":108},{"alpha_index":1834,"clock_position":1834,"value":257},{"alpha_index":2204,"clock_position":2204,"value":473}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-355","alpha_indices":[355,725,1095,1465,1835,2205],"clock_positions":[355,725,1095,1465,1835,2205],"native_values":[485,245,120,245,485,610],"rotation_degrees":57.567567567567565,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":355,"clock_position":355,"value":485},{"alpha_index":725,"clock_position":725,"value":245},{"alpha_index":1095,"clock_position":1095,"value":120},{"alpha_index":1465,"clock_position":1465,"value":245},{"alpha_index":1835,"clock_position":1835,"value":485},{"alpha_index":2205,"clock_position":2205,"value":610}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-356","alpha_indices":[356,726,1096,1466,1836,2206],"clock_positions":[356,726,1096,1466,1836,2206],"native_values":[377,718,377,353,12,353],"rotation_degrees":57.729729729729726,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":356,"clock_position":356,"value":377},{"alpha_index":726,"clock_position":726,"value":718},{"alpha_index":1096,"clock_position":1096,"value":377},{"alpha_index":1466,"clock_position":1466,"value":353},{"alpha_index":1836,"clock_position":1836,"value":12},{"alpha_index":2206,"clock_position":2206,"value":353}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-357","alpha_indices":[357,727,1097,1467,1837,2207],"clock_positions":[357,727,1097,1467,1837,2207],"native_values":[132,233,497,598,497,233],"rotation_degrees":57.891891891891895,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":357,"clock_position":357,"value":132},{"alpha_index":727,"clock_position":727,"value":233},{"alpha_index":1097,"clock_position":1097,"value":497},{"alpha_index":1467,"clock_position":1467,"value":598},{"alpha_index":1837,"clock_position":1837,"value":497},{"alpha_index":2207,"clock_position":2207,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-358","alpha_indices":[358,728,1098,1468,1838,2208],"clock_positions":[358,728,1098,1468,1838,2208],"native_values":[509,221,144,221,509,586],"rotation_degrees":58.054054054054056,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":358,"clock_position":358,"value":509},{"alpha_index":728,"clock_position":728,"value":221},{"alpha_index":1098,"clock_position":1098,"value":144},{"alpha_index":1468,"clock_position":1468,"value":221},{"alpha_index":1838,"clock_position":1838,"value":509},{"alpha_index":2208,"clock_position":2208,"value":586}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-359","alpha_indices":[359,729,1099,1469,1839,2209],"clock_positions":[359,729,1099,1469,1839,2209],"native_values":[641,454,641,89,276,89],"rotation_degrees":58.21621621621622,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":359,"clock_position":359,"value":641},{"alpha_index":729,"clock_position":729,"value":454},{"alpha_index":1099,"clock_position":1099,"value":641},{"alpha_index":1469,"clock_position":1469,"value":89},{"alpha_index":1839,"clock_position":1839,"value":276},{"alpha_index":2209,"clock_position":2209,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-360","alpha_indices":[360,730,1100,1470,1840,2210],"clock_positions":[360,730,1100,1470,1840,2210],"native_values":[420,675,55,310,55,675],"rotation_degrees":58.37837837837838,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":360,"clock_position":360,"value":420},{"alpha_index":730,"clock_position":730,"value":675},{"alpha_index":1100,"clock_position":1100,"value":55},{"alpha_index":1470,"clock_position":1470,"value":310},{"alpha_index":1840,"clock_position":1840,"value":55},{"alpha_index":2210,"clock_position":2210,"value":675}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-361","alpha_indices":[361,731,1101,1471,1841,2211],"clock_positions":[361,731,1101,1471,1841,2211],"native_values":[331,399,696,399,331,34],"rotation_degrees":58.54054054054054,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":361,"clock_position":361,"value":331},{"alpha_index":731,"clock_position":731,"value":399},{"alpha_index":1101,"clock_position":1101,"value":696},{"alpha_index":1471,"clock_position":1471,"value":399},{"alpha_index":1841,"clock_position":1841,"value":331},{"alpha_index":2211,"clock_position":2211,"value":34}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-362","alpha_indices":[362,732,1102,1472,1842,2212],"clock_positions":[362,732,1102,1472,1842,2212],"native_values":[21,344,21,709,386,709],"rotation_degrees":58.7027027027027,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":362,"clock_position":362,"value":21},{"alpha_index":732,"clock_position":732,"value":344},{"alpha_index":1102,"clock_position":1102,"value":21},{"alpha_index":1472,"clock_position":1472,"value":709},{"alpha_index":1842,"clock_position":1842,"value":386},{"alpha_index":2212,"clock_position":2212,"value":709}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-363","alpha_indices":[363,733,1103,1473,1843,2213],"clock_positions":[363,733,1103,1473,1843,2213],"native_values":[352,13,717,378,717,13],"rotation_degrees":58.86486486486486,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":363,"clock_position":363,"value":352},{"alpha_index":733,"clock_position":733,"value":13},{"alpha_index":1103,"clock_position":1103,"value":717},{"alpha_index":1473,"clock_position":1473,"value":378},{"alpha_index":1843,"clock_position":1843,"value":717},{"alpha_index":2213,"clock_position":2213,"value":13}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-364","alpha_indices":[364,734,1104,1474,1844,2214],"clock_positions":[364,734,1104,1474,1844,2214],"native_values":[373,357,8,357,373,722],"rotation_degrees":59.027027027027025,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":364,"clock_position":364,"value":373},{"alpha_index":734,"clock_position":734,"value":357},{"alpha_index":1104,"clock_position":1104,"value":8},{"alpha_index":1474,"clock_position":1474,"value":357},{"alpha_index":1844,"clock_position":1844,"value":373},{"alpha_index":2214,"clock_position":2214,"value":722}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-365","alpha_indices":[365,735,1105,1475,1845,2215],"clock_positions":[365,735,1105,1475,1845,2215],"native_values":[725,370,725,5,360,5],"rotation_degrees":59.189189189189186,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":365,"clock_position":365,"value":725},{"alpha_index":735,"clock_position":735,"value":370},{"alpha_index":1105,"clock_position":1105,"value":725},{"alpha_index":1475,"clock_position":1475,"value":5},{"alpha_index":1845,"clock_position":1845,"value":360},{"alpha_index":2215,"clock_position":2215,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-366","alpha_indices":[366,736,1106,1476,1846,2216],"clock_positions":[366,736,1106,1476,1846,2216],"native_values":[368,727,3,362,3,727],"rotation_degrees":59.351351351351354,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":366,"clock_position":366,"value":368},{"alpha_index":736,"clock_position":736,"value":727},{"alpha_index":1476,"clock_position":1476,"value":362},{"alpha_index":2216,"clock_position":2216,"value":727}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-367","alpha_indices":[367,737,1107,1477,1847,2217],"clock_positions":[367,737,1107,1477,1847,2217],"native_values":[363,367,728,367,363,2],"rotation_degrees":59.513513513513516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":367,"clock_position":367,"value":363},{"alpha_index":737,"clock_position":737,"value":367},{"alpha_index":1107,"clock_position":1107,"value":728},{"alpha_index":1477,"clock_position":1477,"value":367},{"alpha_index":1847,"clock_position":1847,"value":363},{"alpha_index":2217,"clock_position":2217,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-368","alpha_indices":[368,738,1108,1478,1848,2218],"clock_positions":[368,738,1108,1478,1848,2218],"native_values":[1,364,1,729,366,729],"rotation_degrees":59.67567567567568,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":368,"clock_position":368,"value":1},{"alpha_index":738,"clock_position":738,"value":364},{"alpha_index":1108,"clock_position":1108,"value":1},{"alpha_index":1478,"clock_position":1478,"value":729},{"alpha_index":1848,"clock_position":1848,"value":366},{"alpha_index":2218,"clock_position":2218,"value":729}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-369","alpha_indices":[369,739,1109,1479,1849,2219],"clock_positions":[369,739,1109,1479,1849,2219],"native_values":[364,1,729,366,729,1],"rotation_degrees":59.83783783783784,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":369,"clock_position":369,"value":364},{"alpha_index":739,"clock_position":739,"value":1},{"alpha_index":1109,"clock_position":1109,"value":729},{"alpha_index":1479,"clock_position":1479,"value":366},{"alpha_index":1849,"clock_position":1849,"value":729},{"alpha_index":2219,"clock_position":2219,"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/m730/alpha.svg","png":"pilot-v1/views/m730/alpha.png"},{"id":"beta","name":"Beta","svg":"pilot-v1/views/m730/beta.svg","png":"pilot-v1/views/m730/beta.png"},{"id":"gamma","name":"Gamma","svg":"pilot-v1/views/m730/gamma.svg","png":"pilot-v1/views/m730/gamma.png"},{"id":"fibonacci-m730p2220","name":"Fibonacci M730P2220","svg":"pilot-v1/views/m730/fibonacci-m730p2220.svg","png":"pilot-v1/views/m730/fibonacci-m730p2220.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}}