{"schema_version":"2.3.0","dataset_version":"m1-m1001-v1","id":"fibonacci-m734-p2208","name":"Fibonacci M734P2208","modulus":734,"pisano_period":2208,"conventions":{"index_origin":0,"clock_labels":[2208,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207],"orientation":"clockwise from north","zero_display":734,"alpha_circle_positions":2208,"beta_circle_positions":734,"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":[0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,253,129,382,511,159,670,95,31,126,157,283,440,723,429,418,113,531,644,441,351,58,409,467,142,609,17,626,643,535,444,245,689,200,155,355,510,131,641,38,679,717,662,645,573,484,323,73,396,469,131,600,731,597,594,457,317,40,357,397,20,417,437,120,557,677,500,443,209,652,127,45,172,217,389,606,261,133,394,527,187,714,167,147,314,461,41,502,543,311,120,431,551,248,65,313,378,691,335,292,627,185,78,263,341,604,211,81,292,373,665,304,235,539,40,579,619,464,349,79,428,507,201,708,175,149,324,473,63,536,599,401,266,667,199,132,331,463,60,523,583,372,221,593,80,673,19,692,711,669,646,581,493,340,99,439,538,243,47,290,337,627,230,123,353,476,95,571,666,503,435,204,639,109,14,123,137,260,397,657,320,243,563,72,635,707,608,581,455,302,23,325,348,673,287,226,513,5,518,523,307,96,403,499,168,667,101,34,135,169,304,473,43,516,559,341,166,507,673,446,385,97,482,579,327,172,499,671,436,373,75,448,523,237,26,263,289,552,107,659,32,691,723,680,669,615,550,431,247,678,191,135,326,461,53,514,567,347,180,527,707,500,473,239,712,217,195,412,607,285,158,443,601,310,177,487,664,417,347,30,377,407,50,457,507,230,3,233,236,469,705,440,411,117,528,645,439,350,55,405,460,131,591,722,579,567,412,245,657,168,91,259,350,609,225,100,325,425,16,441,457,164,621,51,672,723,661,650,577,493,336,95,431,526,223,15,238,253,491,10,501,511,278,55,333,388,721,375,362,3,365,368,733,367,366,733,365,364,729,359,354,713,333,312,645,223,134,357,491,114,605,719,590,575,431,272,703,241,210,451,661,378,305,683,254,203,457,660,383,309,692,267,225,492,717,475,458,199,657,122,45,167,212,379,591,236,93,329,422,17,439,456,161,617,44,661,705,632,603,501,370,137,507,644,417,327,10,337,347,684,297,247,544,57,601,658,525,449,240,689,195,150,345,495,106,601,707,574,547,387,200,587,53,640,693,599,558,423,247,670,183,119,302,421,723,410,399,75,474,549,289,104,393,497,156,653,75,728,69,63,132,195,327,522,115,637,18,655,673,594,533,393,192,585,43,628,671,565,502,333,101,434,535,235,36,271,307,578,151,729,146,141,287,428,715,409,390,65,455,520,241,27,268,295,563,124,687,77,30,107,137,244,381,625,272,163,435,598,299,163,462,625,353,244,597,107,704,77,47,124,171,295,466,27,493,520,279,65,344,409,19,428,447,141,588,729,583,578,427,271,698,235,199,434,633,333,232,565,63,628,691,585,542,393,201,594,61,655,716,637,619,522,407,195,602,63,665,728,659,653,578,497,341,104,445,549,260,75,335,410,11,421,432,119,551,670,487,423,176,599,41,640,681,587,534,387,187,574,27,601,628,495,389,150,539,689,494,449,209,658,133,57,190,247,437,684,387,337,724,327,317,644,227,137,364,501,131,632,29,661,690,617,573,456,295,17,312,329,641,236,143,379,522,167,689,122,77,199,276,475,17,492,509,267,42,309,351,660,277,203,480,683,429,378,73,451,524,241,31,272,303,575,144,719,129,114,243,357,600,223,89,312,401,713,380,359,5,364,369,733,368,367,1,368,369,3,372,375,13,388,401,55,456,511,233,10,243,253,496,15,511,526,303,95,398,493,157,650,73,723,62,51,113,164,277,441,718,425,409,100,509,609,384,259,643,168,77,245,322,567,155,722,143,131,274,405,679,350,295,645,206,117,323,440,29,469,498,233,731,230,227,457,684,407,357,30,387,417,70,487,557,310,133,443,576,285,127,412,539,217,22,239,261,500,27,527,554,347,167,514,681,461,408,135,543,678,487,431,184,615,65,680,11,691,702,659,627,552,445,263,708,237,211,448,659,373,298,671,235,172,407,579,252,97,349,446,61,507,568,341,175,516,691,473,430,169,599,34,633,667,566,499,331,96,427,523,216,5,221,226,447,673,386,325,711,302,279,581,126,707,99,72,171,243,414,657,337,260,597,123,720,109,95,204,299,503,68,571,639,476,381,123,504,627,397,290,687,243,196,439,635,340,241,581,88,669,23,692,715,673,654,593,513,372,151,523,674,463,403,132,535,667,468,401,135,536,671,473,410,149,559,708,533,507,306,79,385,464,115,579,694,539,499,304,69,373,442,81,523,604,393,263,656,185,107,292,399,691,356,313,669,248,183,431,614,311,191,502,693,461,420,147,567,714,547,527,340,133,473,606,345,217,562,45,607,652,525,443,234,677,177,120,297,417,714,397,377,40,417,457,140,597,3,600,603,469,338,73,411,484,161,645,72,717,55,38,93,131,224,355,579,200,45,245,290,535,91,626,717,609,592,467,325,58,383,441,90,531,621,418,305,723,294,283,577,126,703,95,64,159,223,382,605,253,124,377,501,144,645,55,700,21,721,8,729,3,732,1,733,0,733,733,732,731,729,726,721,713,700,679,645,590,501,357,124,481,605,352,223,575,64,639,703,608,577,451,294,11,305,316,621,203,90,293,383,676,325,267,592,125,717,108,91,199,290,489,45,534,579,379,224,603,93,696,55,17,72,89,161,250,411,661,338,265,603,134,3,137,140,277,417,694,377,337,714,317,297,614,177,57,234,291,525,82,607,689,562,517,345,128,473,601,340,207,547,20,567,587,420,273,693,232,191,423,614,303,183,486,669,421,356,43,399,442,107,549,656,471,393,130,523,653,442,361,69,430,499,195,694,155,115,270,385,655,306,227,533,26,559,585,410,261,671,198,135,333,468,67,535,602,403,271,674,211,151,362,513,141,654,61,715,42,23,65,88,153,241,394,635,295,196,491,687,444,397,107,504,611,381,258,639,163,68,231,299,530,95,625,720,611,597,474,337,77,414,491,171,662,99,27,126,153,279,432,711,409,386,61,447,508,221,729,216,211,427,638,331,235,566,67,633,700,599,565,430,261,691,218,175,393,568,227,61,288,349,637,252,155,407,562,235,63,298,361,659,286,211,497,708,471,445,182,627,75,702,43,11,54,65,119,184,303,487,56,543,599,408,273,681,220,167,387,554,207,27,234,261,495,22,517,539,322,127,449,576,291,133,424,557,247,70,317,387,704,357,327,684,277,227,504,731,501,498,265,29,294,323,617,206,89,295,384,679,329,274,603,143,12,155,167,322,489,77,566,643,475,384,125,509,634,409,309,718,293,277,570,113,683,62,11,73,84,157,241,398,639,303,208,511,719,496,481,243,724,233,223,456,679,401,346,13,359,372,731,369,366,1,367,368,1,369,370,5,375,380,21,401,422,89,511,600,377,243,620,129,15,144,159,303,462,31,493,524,283,73,356,429,51,480,531,277,74,351,425,42,467,509,242,17,259,276,535,77,612,689,567,522,355,143,498,641,405,312,717,295,278,573,117,690,73,29,102,131,233,364,597,227,90,317,407,724,397,387,50,437,487,190,677,133,76,209,285,494,45,539,584,389,239,628,133,27,160,187,347,534,147,681,94,41,135,176,311,487,64,551,615,432,313,11,324,335,659,260,185,445,630,341,237,578,81,659,6,665,671,602,539,407,212,619,97,716,79,61,140,201,341,542,149,691,106,63,169,232,401,633,300,199,499,698,463,427,156,583,5,588,593,447,306,19,325,344,669,279,214,493,707,466,439,171,610,47,657,704,627,597,490,353,109,462,571,299,136,435,571,272,109,381,490,137,627,30,657,687,610,563,439,268,707,241,214,455,669,390,325,715,306,287,593,146,5,151,156,307,463,36,499,535,300,101,401,502,169,671,106,43,149,192,341,533,140,673,79,18,97,115,212,327,539,132,671,69,6,75,81,156,237,393,630,289,185,474,659,399,324,723,313,302,615,183,64,247,311,558,135,693,94,53,147,200,347,547,160,707,133,106,239,345,584,195,45,240,285,525,76,601,677,544,487,297,50,347,397,10,407,417,90,507,597,370,233,603,102,705,73,44,117,161,278,439,717,422,405,93,498,591,355,212,567,45,612,657,535,458,259,717,242,225,467,692,425,383,74,457,531,254,51,305,356,661,283,210,493,703,462,431,159,590,15,605,620,491,377,134,511,645,422,333,21,354,375,729,370,365,1,366,367,733,366,365,731,362,359,721,346,333,679,278,223,501,724,491,481,238,719,223,208,431,639,336,241,577,84,661,11,672,683,621,570,457,293,16,309,325,634,225,125,350,475,91,566,657,489,412,167,579,12,591,603,460,329,55,384,439,89,528,617,411,294,705,265,236,501,3,504,507,277,50,327,377,704,347,317,664,247,177,424,601,291,158,449,607,322,195,517,712,495,473,234,707,207,180,387,567,220,53,273,326,599,191,56,247,303,550,119,669,54,723,43,32,75,107,182,289,471,26,497,523,286,75,361,436,63,499,562,327,155,482,637,385,288,673,227,166,393,559,218,43,261,304,565,135,700,101,67,168,235,403,638,307,211,518,729,513,508,287,61,348,409,23,432,455,153,608,27,635,662,563,491,320,77,397,474,137,611,14,625,639,530,435,231,666,163,95,258,353,611,230,107,337,444,47,491,538,295,99,394,493,153,646,65,711,42,19,61,80,141,221,362,583,211,60,271,331,602,199,67,266,333,599,198,63,261,324,585,175,26,201,227,428,655,349,270,619,155,40,195,235,430,665,361,292,653,211,130,341,471,78,549,627,442,335,43,378,421,65,486,551,303,120,423,543,232,41,273,314,587,167,20,187,207,394,601,261,128,389,517,172,689,127,82,209,291,500,57,557,614,437,317,20,337,357,694,317,277,594,137,731,134,131,265,396,661,323,250,573,89,662,17,679,696,641,603,510,379,155,534,689,489,444,199,643,108,17,125,142,267,409,676,351,293,644,203,113,316,429,11,440,451,157,608,31,639,670,575,511,352,129,481,610,357,233,590,89,679,34,713,13,726,5,731,2,733,1],"display_values":[734,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,253,129,382,511,159,670,95,31,126,157,283,440,723,429,418,113,531,644,441,351,58,409,467,142,609,17,626,643,535,444,245,689,200,155,355,510,131,641,38,679,717,662,645,573,484,323,73,396,469,131,600,731,597,594,457,317,40,357,397,20,417,437,120,557,677,500,443,209,652,127,45,172,217,389,606,261,133,394,527,187,714,167,147,314,461,41,502,543,311,120,431,551,248,65,313,378,691,335,292,627,185,78,263,341,604,211,81,292,373,665,304,235,539,40,579,619,464,349,79,428,507,201,708,175,149,324,473,63,536,599,401,266,667,199,132,331,463,60,523,583,372,221,593,80,673,19,692,711,669,646,581,493,340,99,439,538,243,47,290,337,627,230,123,353,476,95,571,666,503,435,204,639,109,14,123,137,260,397,657,320,243,563,72,635,707,608,581,455,302,23,325,348,673,287,226,513,5,518,523,307,96,403,499,168,667,101,34,135,169,304,473,43,516,559,341,166,507,673,446,385,97,482,579,327,172,499,671,436,373,75,448,523,237,26,263,289,552,107,659,32,691,723,680,669,615,550,431,247,678,191,135,326,461,53,514,567,347,180,527,707,500,473,239,712,217,195,412,607,285,158,443,601,310,177,487,664,417,347,30,377,407,50,457,507,230,3,233,236,469,705,440,411,117,528,645,439,350,55,405,460,131,591,722,579,567,412,245,657,168,91,259,350,609,225,100,325,425,16,441,457,164,621,51,672,723,661,650,577,493,336,95,431,526,223,15,238,253,491,10,501,511,278,55,333,388,721,375,362,3,365,368,733,367,366,733,365,364,729,359,354,713,333,312,645,223,134,357,491,114,605,719,590,575,431,272,703,241,210,451,661,378,305,683,254,203,457,660,383,309,692,267,225,492,717,475,458,199,657,122,45,167,212,379,591,236,93,329,422,17,439,456,161,617,44,661,705,632,603,501,370,137,507,644,417,327,10,337,347,684,297,247,544,57,601,658,525,449,240,689,195,150,345,495,106,601,707,574,547,387,200,587,53,640,693,599,558,423,247,670,183,119,302,421,723,410,399,75,474,549,289,104,393,497,156,653,75,728,69,63,132,195,327,522,115,637,18,655,673,594,533,393,192,585,43,628,671,565,502,333,101,434,535,235,36,271,307,578,151,729,146,141,287,428,715,409,390,65,455,520,241,27,268,295,563,124,687,77,30,107,137,244,381,625,272,163,435,598,299,163,462,625,353,244,597,107,704,77,47,124,171,295,466,27,493,520,279,65,344,409,19,428,447,141,588,729,583,578,427,271,698,235,199,434,633,333,232,565,63,628,691,585,542,393,201,594,61,655,716,637,619,522,407,195,602,63,665,728,659,653,578,497,341,104,445,549,260,75,335,410,11,421,432,119,551,670,487,423,176,599,41,640,681,587,534,387,187,574,27,601,628,495,389,150,539,689,494,449,209,658,133,57,190,247,437,684,387,337,724,327,317,644,227,137,364,501,131,632,29,661,690,617,573,456,295,17,312,329,641,236,143,379,522,167,689,122,77,199,276,475,17,492,509,267,42,309,351,660,277,203,480,683,429,378,73,451,524,241,31,272,303,575,144,719,129,114,243,357,600,223,89,312,401,713,380,359,5,364,369,733,368,367,1,368,369,3,372,375,13,388,401,55,456,511,233,10,243,253,496,15,511,526,303,95,398,493,157,650,73,723,62,51,113,164,277,441,718,425,409,100,509,609,384,259,643,168,77,245,322,567,155,722,143,131,274,405,679,350,295,645,206,117,323,440,29,469,498,233,731,230,227,457,684,407,357,30,387,417,70,487,557,310,133,443,576,285,127,412,539,217,22,239,261,500,27,527,554,347,167,514,681,461,408,135,543,678,487,431,184,615,65,680,11,691,702,659,627,552,445,263,708,237,211,448,659,373,298,671,235,172,407,579,252,97,349,446,61,507,568,341,175,516,691,473,430,169,599,34,633,667,566,499,331,96,427,523,216,5,221,226,447,673,386,325,711,302,279,581,126,707,99,72,171,243,414,657,337,260,597,123,720,109,95,204,299,503,68,571,639,476,381,123,504,627,397,290,687,243,196,439,635,340,241,581,88,669,23,692,715,673,654,593,513,372,151,523,674,463,403,132,535,667,468,401,135,536,671,473,410,149,559,708,533,507,306,79,385,464,115,579,694,539,499,304,69,373,442,81,523,604,393,263,656,185,107,292,399,691,356,313,669,248,183,431,614,311,191,502,693,461,420,147,567,714,547,527,340,133,473,606,345,217,562,45,607,652,525,443,234,677,177,120,297,417,714,397,377,40,417,457,140,597,3,600,603,469,338,73,411,484,161,645,72,717,55,38,93,131,224,355,579,200,45,245,290,535,91,626,717,609,592,467,325,58,383,441,90,531,621,418,305,723,294,283,577,126,703,95,64,159,223,382,605,253,124,377,501,144,645,55,700,21,721,8,729,3,732,1,733,734,733,733,732,731,729,726,721,713,700,679,645,590,501,357,124,481,605,352,223,575,64,639,703,608,577,451,294,11,305,316,621,203,90,293,383,676,325,267,592,125,717,108,91,199,290,489,45,534,579,379,224,603,93,696,55,17,72,89,161,250,411,661,338,265,603,134,3,137,140,277,417,694,377,337,714,317,297,614,177,57,234,291,525,82,607,689,562,517,345,128,473,601,340,207,547,20,567,587,420,273,693,232,191,423,614,303,183,486,669,421,356,43,399,442,107,549,656,471,393,130,523,653,442,361,69,430,499,195,694,155,115,270,385,655,306,227,533,26,559,585,410,261,671,198,135,333,468,67,535,602,403,271,674,211,151,362,513,141,654,61,715,42,23,65,88,153,241,394,635,295,196,491,687,444,397,107,504,611,381,258,639,163,68,231,299,530,95,625,720,611,597,474,337,77,414,491,171,662,99,27,126,153,279,432,711,409,386,61,447,508,221,729,216,211,427,638,331,235,566,67,633,700,599,565,430,261,691,218,175,393,568,227,61,288,349,637,252,155,407,562,235,63,298,361,659,286,211,497,708,471,445,182,627,75,702,43,11,54,65,119,184,303,487,56,543,599,408,273,681,220,167,387,554,207,27,234,261,495,22,517,539,322,127,449,576,291,133,424,557,247,70,317,387,704,357,327,684,277,227,504,731,501,498,265,29,294,323,617,206,89,295,384,679,329,274,603,143,12,155,167,322,489,77,566,643,475,384,125,509,634,409,309,718,293,277,570,113,683,62,11,73,84,157,241,398,639,303,208,511,719,496,481,243,724,233,223,456,679,401,346,13,359,372,731,369,366,1,367,368,1,369,370,5,375,380,21,401,422,89,511,600,377,243,620,129,15,144,159,303,462,31,493,524,283,73,356,429,51,480,531,277,74,351,425,42,467,509,242,17,259,276,535,77,612,689,567,522,355,143,498,641,405,312,717,295,278,573,117,690,73,29,102,131,233,364,597,227,90,317,407,724,397,387,50,437,487,190,677,133,76,209,285,494,45,539,584,389,239,628,133,27,160,187,347,534,147,681,94,41,135,176,311,487,64,551,615,432,313,11,324,335,659,260,185,445,630,341,237,578,81,659,6,665,671,602,539,407,212,619,97,716,79,61,140,201,341,542,149,691,106,63,169,232,401,633,300,199,499,698,463,427,156,583,5,588,593,447,306,19,325,344,669,279,214,493,707,466,439,171,610,47,657,704,627,597,490,353,109,462,571,299,136,435,571,272,109,381,490,137,627,30,657,687,610,563,439,268,707,241,214,455,669,390,325,715,306,287,593,146,5,151,156,307,463,36,499,535,300,101,401,502,169,671,106,43,149,192,341,533,140,673,79,18,97,115,212,327,539,132,671,69,6,75,81,156,237,393,630,289,185,474,659,399,324,723,313,302,615,183,64,247,311,558,135,693,94,53,147,200,347,547,160,707,133,106,239,345,584,195,45,240,285,525,76,601,677,544,487,297,50,347,397,10,407,417,90,507,597,370,233,603,102,705,73,44,117,161,278,439,717,422,405,93,498,591,355,212,567,45,612,657,535,458,259,717,242,225,467,692,425,383,74,457,531,254,51,305,356,661,283,210,493,703,462,431,159,590,15,605,620,491,377,134,511,645,422,333,21,354,375,729,370,365,1,366,367,733,366,365,731,362,359,721,346,333,679,278,223,501,724,491,481,238,719,223,208,431,639,336,241,577,84,661,11,672,683,621,570,457,293,16,309,325,634,225,125,350,475,91,566,657,489,412,167,579,12,591,603,460,329,55,384,439,89,528,617,411,294,705,265,236,501,3,504,507,277,50,327,377,704,347,317,664,247,177,424,601,291,158,449,607,322,195,517,712,495,473,234,707,207,180,387,567,220,53,273,326,599,191,56,247,303,550,119,669,54,723,43,32,75,107,182,289,471,26,497,523,286,75,361,436,63,499,562,327,155,482,637,385,288,673,227,166,393,559,218,43,261,304,565,135,700,101,67,168,235,403,638,307,211,518,729,513,508,287,61,348,409,23,432,455,153,608,27,635,662,563,491,320,77,397,474,137,611,14,625,639,530,435,231,666,163,95,258,353,611,230,107,337,444,47,491,538,295,99,394,493,153,646,65,711,42,19,61,80,141,221,362,583,211,60,271,331,602,199,67,266,333,599,198,63,261,324,585,175,26,201,227,428,655,349,270,619,155,40,195,235,430,665,361,292,653,211,130,341,471,78,549,627,442,335,43,378,421,65,486,551,303,120,423,543,232,41,273,314,587,167,20,187,207,394,601,261,128,389,517,172,689,127,82,209,291,500,57,557,614,437,317,20,337,357,694,317,277,594,137,731,134,131,265,396,661,323,250,573,89,662,17,679,696,641,603,510,379,155,534,689,489,444,199,643,108,17,125,142,267,409,676,351,293,644,203,113,316,429,11,440,451,157,608,31,639,670,575,511,352,129,481,610,357,233,590,89,679,34,713,13,726,5,731,2,733,1]},"gamma":{"alpha_indices":[0,4,8,12,17,20,24,28,29,32,34,35,40,45,51,56,58,59,63,66,68,69,73,76,78,86,90,91,96,98,103,105,111,115,117,122,130,136,137,138,141,143,150,153,156,163,164,169,172,176,178,183,185,186,187,190,194,196,198,207,211,216,219,223,228,232,238,239,245,248,252,257,259,260,264,266,271,273,281,284,289,292,294,299,301,305,307,308,309,310,314,317,319,320,323,324,328,329,334,337,338,339,340,345,350,355,359,362,364,369,373,375,377,378,379,382,384,393,396,402,404,406,407,408,409,413,415,419,421,426,431,433,434,437,439,440,444,445,448,451,453,455,456,457,458,464,469,471,472,475,479,481,482,483,484,487,489,491,493,494,495,496,497,498,501,504,506,507,508,514,519,524,526,531,536,541,543,547,551,555,559,565,568,571,577,578,579,580,589,590,593,596,598,599,600,606,608,610,620,622,627,632,637,639,640,643,646,648,656,660,661,664,670,675,677,678,681,687,693,696,698,699,700,701,702,705,707,708,715,717,719,720,721,722,723,726,733,739,740,741,742,747,751,754,757,764,766,770,776,777,780,784,790,794,796,801,807,809,810,811,812,819,820,827,829,835,837,838,839,840,844,849,851,852,855,856,866,867,872,876,883,888,891,895,899,901,903,905,906,907,908,909,910,913,914,915,918,923,925,926,927,928,931,932,940,945,947,948,954,957,959,966,968,969,974,979,982,985,991,995,997,1003,1005,1006,1007,1008,1014,1015,1018,1021,1023,1025,1026,1027,1028,1029,1033,1036,1037,1038,1039,1043,1046,1047,1048,1051,1055,1057,1063,1064,1070,1071,1072,1073,1076,1077,1080,1084,1091,1092,1093,1096,1099,1100,1101,1104,1107,1109,1110,1115,1117,1118,1126,1131,1135,1137,1142,1145,1146,1150,1151,1152,1153,1156,1157,1158,1161,1165,1169,1171,1175,1179,1181,1183,1184,1185,1186,1187,1193,1198,1201,1203,1204,1205,1208,1210,1211,1212,1213,1217,1220,1222,1223,1229,1232,1236,1239,1244,1246,1248,1249,1250,1251,1261,1262,1263,1266,1270,1277,1278,1281,1283,1284,1285,1288,1293,1295,1296,1299,1301,1303,1304,1305,1306,1307,1308,1309,1313,1316,1317,1325,1330,1334,1338,1341,1346,1353,1354,1357,1358,1359,1362,1366,1369,1371,1372,1373,1376,1378,1379,1380,1381,1382,1389,1390,1397,1399,1400,1401,1404,1406,1407,1410,1416,1420,1422,1426,1431,1436,1440,1446,1450,1451,1457,1461,1467,1469,1470,1475,1478,1480,1485,1487,1489,1490,1491,1492,1493,1494,1501,1502,1503,1504,1507,1509,1515,1518,1520,1521,1524,1526,1527,1528,1531,1532,1533,1536,1540,1542,1547,1556,1558,1565,1569,1570,1571,1574,1580,1581,1584,1590,1592,1594,1596,1609,1615,1619,1620,1626,1629,1631,1632,1636,1637,1643,1646,1648,1649,1653,1657,1661,1664,1665,1666,1667,1676,1677,1680,1686,1689,1692,1701,1707,1711,1713,1715,1716,1717,1718,1719,1720,1721,1722,1725,1727,1728,1729,1732,1733,1737,1738,1739,1742,1751,1753,1754,1755,1756,1757,1763,1769,1770,1771,1772,1775,1776,1777,1780,1784,1786,1787,1788,1789,1792,1793,1794,1795,1799,1801,1808,1810,1815,1818,1820,1822,1829,1831,1832,1833,1834,1835,1839,1842,1849,1853,1862,1863,1866,1869,1871,1872,1876,1879,1885,1886,1889,1890,1891,1892,1896,1899,1901,1902,1903,1906,1907,1908,1909,1912,1919,1922,1927,1930,1932,1934,1935,1936,1937,1940,1946,1949,1950,1951,1954,1958,1963,1966,1969,1974,1978,1982,1985,1989,1996,1997,2001,2004,2006,2008,2016,2021,2023,2024,2025,2028,2034,2039,2042,2045,2046,2050,2055,2062,2064,2065,2066,2067,2068,2071,2076,2080,2090,2091,2092,2093,2097,2100,2102,2103,2104,2105,2108,2114,2117,2126,2128,2135,2139,2145,2149,2154,2156,2157,2160,2162,2163,2166,2170,2173,2179,2186,2191,2194,2202],"clock_positions":[2208,4,8,12,17,20,24,28,29,32,34,35,40,45,51,56,58,59,63,66,68,69,73,76,78,86,90,91,96,98,103,105,111,115,117,122,130,136,137,138,141,143,150,153,156,163,164,169,172,176,178,183,185,186,187,190,194,196,198,207,211,216,219,223,228,232,238,239,245,248,252,257,259,260,264,266,271,273,281,284,289,292,294,299,301,305,307,308,309,310,314,317,319,320,323,324,328,329,334,337,338,339,340,345,350,355,359,362,364,369,373,375,377,378,379,382,384,393,396,402,404,406,407,408,409,413,415,419,421,426,431,433,434,437,439,440,444,445,448,451,453,455,456,457,458,464,469,471,472,475,479,481,482,483,484,487,489,491,493,494,495,496,497,498,501,504,506,507,508,514,519,524,526,531,536,541,543,547,551,555,559,565,568,571,577,578,579,580,589,590,593,596,598,599,600,606,608,610,620,622,627,632,637,639,640,643,646,648,656,660,661,664,670,675,677,678,681,687,693,696,698,699,700,701,702,705,707,708,715,717,719,720,721,722,723,726,733,739,740,741,742,747,751,754,757,764,766,770,776,777,780,784,790,794,796,801,807,809,810,811,812,819,820,827,829,835,837,838,839,840,844,849,851,852,855,856,866,867,872,876,883,888,891,895,899,901,903,905,906,907,908,909,910,913,914,915,918,923,925,926,927,928,931,932,940,945,947,948,954,957,959,966,968,969,974,979,982,985,991,995,997,1003,1005,1006,1007,1008,1014,1015,1018,1021,1023,1025,1026,1027,1028,1029,1033,1036,1037,1038,1039,1043,1046,1047,1048,1051,1055,1057,1063,1064,1070,1071,1072,1073,1076,1077,1080,1084,1091,1092,1093,1096,1099,1100,1101,1104,1107,1109,1110,1115,1117,1118,1126,1131,1135,1137,1142,1145,1146,1150,1151,1152,1153,1156,1157,1158,1161,1165,1169,1171,1175,1179,1181,1183,1184,1185,1186,1187,1193,1198,1201,1203,1204,1205,1208,1210,1211,1212,1213,1217,1220,1222,1223,1229,1232,1236,1239,1244,1246,1248,1249,1250,1251,1261,1262,1263,1266,1270,1277,1278,1281,1283,1284,1285,1288,1293,1295,1296,1299,1301,1303,1304,1305,1306,1307,1308,1309,1313,1316,1317,1325,1330,1334,1338,1341,1346,1353,1354,1357,1358,1359,1362,1366,1369,1371,1372,1373,1376,1378,1379,1380,1381,1382,1389,1390,1397,1399,1400,1401,1404,1406,1407,1410,1416,1420,1422,1426,1431,1436,1440,1446,1450,1451,1457,1461,1467,1469,1470,1475,1478,1480,1485,1487,1489,1490,1491,1492,1493,1494,1501,1502,1503,1504,1507,1509,1515,1518,1520,1521,1524,1526,1527,1528,1531,1532,1533,1536,1540,1542,1547,1556,1558,1565,1569,1570,1571,1574,1580,1581,1584,1590,1592,1594,1596,1609,1615,1619,1620,1626,1629,1631,1632,1636,1637,1643,1646,1648,1649,1653,1657,1661,1664,1665,1666,1667,1676,1677,1680,1686,1689,1692,1701,1707,1711,1713,1715,1716,1717,1718,1719,1720,1721,1722,1725,1727,1728,1729,1732,1733,1737,1738,1739,1742,1751,1753,1754,1755,1756,1757,1763,1769,1770,1771,1772,1775,1776,1777,1780,1784,1786,1787,1788,1789,1792,1793,1794,1795,1799,1801,1808,1810,1815,1818,1820,1822,1829,1831,1832,1833,1834,1835,1839,1842,1849,1853,1862,1863,1866,1869,1871,1872,1876,1879,1885,1886,1889,1890,1891,1892,1896,1899,1901,1902,1903,1906,1907,1908,1909,1912,1919,1922,1927,1930,1932,1934,1935,1936,1937,1940,1946,1949,1950,1951,1954,1958,1963,1966,1969,1974,1978,1982,1985,1989,1996,1997,2001,2004,2006,2008,2016,2021,2023,2024,2025,2028,2034,2039,2042,2045,2046,2050,2055,2062,2064,2065,2066,2067,2068,2071,2076,2080,2090,2091,2092,2093,2097,2100,2102,2103,2104,2105,2108,2114,2117,2126,2128,2135,2139,2145,2149,2154,2156,2157,2160,2162,2163,2166,2170,2173,2179,2186,2191,2194,2202],"clockwise_values":[734,3,21,144,129,159,126,723,429,531,441,351,609,444,510,717,645,573,396,600,597,594,357,417,120,45,606,261,714,147,543,120,378,627,78,81,579,507,201,708,324,63,132,60,372,711,669,99,243,627,123,666,435,204,639,123,657,243,72,348,513,96,168,135,516,507,579,327,75,237,552,723,669,615,678,135,567,180,195,285,177,417,30,507,3,705,411,117,528,645,405,591,579,567,657,168,609,225,441,621,51,672,723,336,15,501,333,375,3,366,729,354,333,312,645,357,114,210,378,660,309,267,225,492,717,657,45,591,93,456,705,603,501,507,417,327,684,297,57,525,240,195,150,345,495,387,693,558,423,183,723,399,75,474,549,393,156,75,69,63,132,195,327,522,18,594,393,192,585,333,36,729,141,390,27,687,30,381,435,462,597,171,27,279,447,141,588,729,633,333,63,585,393,201,594,522,195,63,549,75,432,423,681,534,387,27,495,150,57,684,387,327,501,690,573,456,312,522,276,492,267,42,309,351,660,480,429,378,303,144,129,114,243,357,600,312,369,369,3,372,375,456,243,15,303,723,51,441,609,384,168,567,405,645,117,498,684,357,30,387,417,576,285,261,27,681,408,135,543,678,615,702,627,552,708,237,579,252,507,516,633,96,216,447,711,279,126,99,72,171,243,414,657,597,123,720,204,639,381,123,504,627,687,243,669,654,513,372,132,468,135,708,507,306,579,69,81,393,399,669,183,693,420,147,567,714,606,345,45,525,234,177,120,297,417,714,417,597,3,600,603,411,645,72,717,93,579,45,717,609,441,90,531,621,723,294,126,159,501,144,645,21,729,3,732,734,732,729,726,645,501,357,639,294,621,90,267,717,108,489,45,534,579,603,93,696,72,411,603,3,417,714,297,177,57,234,291,525,345,207,567,420,273,693,423,303,183,486,669,399,549,471,393,69,195,270,306,585,261,198,135,333,468,513,141,654,42,153,687,444,504,381,258,639,231,720,597,474,414,171,99,27,126,153,279,432,711,447,729,216,633,261,393,288,252,63,708,471,627,75,702,54,303,543,408,273,681,387,207,27,234,261,495,576,291,387,357,327,684,504,501,498,294,384,603,12,489,384,309,570,84,639,303,243,456,372,369,366,369,375,21,600,243,129,15,144,159,303,462,429,51,480,531,351,42,276,612,567,522,498,405,312,717,573,117,690,102,597,90,387,285,45,27,534,147,681,135,615,432,324,630,237,81,6,201,63,633,300,156,588,447,306,669,279,171,657,627,597,462,435,381,627,30,657,687,669,390,306,156,36,300,192,18,327,132,69,6,75,81,156,237,393,630,474,399,324,723,615,183,558,135,693,147,345,195,45,240,285,525,297,417,90,507,597,603,102,705,117,717,405,93,498,591,567,45,612,657,717,225,531,51,210,462,159,15,645,333,21,354,375,729,366,366,333,501,639,336,84,672,621,570,309,225,657,489,579,12,591,603,384,528,411,294,705,501,3,504,507,327,177,291,195,495,234,207,180,387,567,273,303,669,54,723,75,471,75,63,327,288,393,261,135,168,729,513,348,432,153,27,474,639,435,231,666,258,444,99,153,711,42,141,60,333,198,63,261,324,585,201,270,195,471,78,549,627,378,486,303,120,423,543,273,207,261,291,57,357,594,396,573,696,603,510,534,489,444,108,267,351,429,639,129,357,726],"triangle_paths":[]},"beta":{"interval_sums":[4,26,178,1473,893,796,880,0,531,644,0,1076,1821,1644,1489,662,0,880,600,731,0,814,417,437,3165,778,0,1241,167,1318,311,1608,1318,185,1419,2448,1939,0,0,324,473,2668,794,1106,2278,0,2060,977,674,230,1495,503,0,0,123,794,320,563,3636,1186,1353,902,802,989,1066,2083,0,2151,971,578,1489,680,0,1228,191,1354,347,3375,1019,1512,1151,347,1291,230,938,440,0,0,0,844,591,722,0,657,0,700,0,866,621,0,0,0,2381,1275,992,844,1109,362,1833,1462,359,713,0,0,357,491,4136,1112,1902,383,692,0,0,0,1132,122,758,236,1207,1483,632,0,507,644,0,694,0,791,1259,449,689,0,0,0,2535,1480,599,0,917,842,410,0,0,0,393,497,653,728,0,0,0,0,0,752,1328,533,0,0,2409,1305,1307,146,1839,1281,1250,77,488,1060,1060,1222,1059,761,1013,1265,0,0,0,3425,0,797,1319,542,0,0,2688,407,602,4670,260,1177,1827,1456,587,0,761,1229,389,3171,874,0,1061,1689,1453,617,0,312,1728,1254,492,509,0,0,0,0,480,683,0,1592,575,719,0,0,0,0,312,2222,1837,0,0,0,857,754,749,1037,1866,62,554,2161,0,902,644,1425,1324,206,1261,1878,407,0,0,0,2000,0,1556,500,2109,461,0,0,0,1102,1447,659,0,708,0,3474,0,953,1084,2396,2063,950,452,1384,302,581,707,0,0,0,0,0,597,0,0,204,1441,476,0,0,0,687,0,2520,2103,593,0,2214,1202,401,2798,533,0,1043,2036,815,1127,1503,1360,248,2049,461,0,0,0,2020,0,779,1259,443,677,0,0,0,0,814,597,0,0,0,880,645,0,0,93,710,200,1787,0,1825,0,0,0,723,0,860,862,1964,0,0,755,729,0,0,734,1466,731,0,2813,590,0,2424,2339,632,203,1677,717,0,580,0,0,0,603,0,0,72,500,1264,134,554,1408,317,614,0,0,0,0,2457,1542,567,587,0,0,423,614,0,0,0,820,549,656,0,2109,929,964,1040,1345,410,671,0,0,0,3276,0,0,776,176,2252,0,504,611,0,0,231,1549,611,0,414,491,662,0,0,0,0,0,0,856,729,0,2475,2294,1084,856,986,1359,2312,0,627,0,0,54,368,543,599,0,0,387,554,0,0,0,0,1976,0,1748,704,0,0,504,731,0,294,1530,1282,143,644,1761,1677,1288,942,796,0,2415,1180,1798,731,0,737,375,380,1423,377,620,0,0,0,0,0,1760,0,0,0,351,425,1494,612,689,0,498,641,0,0,573,0,0,102,728,227,1845,2259,494,2512,694,0,0,135,1589,0,324,1884,341,578,659,4808,1829,802,0,2286,588,593,0,688,0,2319,657,704,0,952,1006,952,627,0,0,0,3497,0,1040,1182,770,1034,2142,1766,424,539,671,0,0,0,0,0,0,0,474,659,0,0,615,0,622,0,0,147,2439,584,0,0,0,0,2385,1211,0,0,0,603,0,0,117,878,422,0,0,0,567,0,0,0,1252,242,2498,254,1605,1196,431,590,2738,422,0,0,0,0,736,1100,2884,1180,3515,0,818,672,683,0,766,959,1607,0,579,0,0,0,844,528,617,0,0,501,0,0,0,327,2656,1025,1536,1229,473,707,0,0,0,273,1419,669,0,0,75,578,1332,797,1061,1659,1066,820,869,868,2312,0,856,432,455,608,3145,1387,530,0,0,258,1638,1371,887,711,0,160,1377,1736,599,0,0,0,0,201,1659,814,3318,0,0,0,820,486,551,0,0,0,273,1275,995,2313,500,2282,1288,1398,1234,1447,641,0,534,689,0,842,284,1085,1569,1698,2108,1091,2351,1472],"interval_residues":[4,26,178,5,159,62,146,0,531,644,0,342,353,176,21,662,0,146,600,731,0,80,417,437,229,44,0,507,167,584,311,140,584,185,685,246,471,0,0,324,473,466,60,372,76,0,592,243,674,230,27,503,0,0,123,60,320,563,700,452,619,168,68,255,332,615,0,683,237,578,21,680,0,494,191,620,347,439,285,44,417,347,557,230,204,440,0,0,0,110,591,722,0,657,0,700,0,132,621,0,0,0,179,541,258,110,375,362,365,728,359,713,0,0,357,491,466,378,434,383,692,0,0,0,398,122,24,236,473,15,632,0,507,644,0,694,0,57,525,449,689,0,0,0,333,12,599,0,183,108,410,0,0,0,393,497,653,728,0,0,0,0,0,18,594,533,0,0,207,571,573,146,371,547,516,77,488,326,326,488,325,27,279,531,0,0,0,489,0,63,585,542,0,0,486,407,602,266,260,443,359,722,587,0,27,495,389,235,140,0,327,221,719,617,0,312,260,520,492,509,0,0,0,0,480,683,0,124,575,719,0,0,0,0,312,20,369,0,0,0,123,20,15,303,398,62,554,693,0,168,644,691,590,206,527,410,407,0,0,0,532,0,88,500,641,461,0,0,0,368,713,659,0,708,0,538,0,219,350,194,595,216,452,650,302,581,707,0,0,0,0,0,597,0,0,204,707,476,0,0,0,687,0,318,635,593,0,12,468,401,596,533,0,309,568,81,393,35,626,248,581,461,0,0,0,552,0,45,525,443,677,0,0,0,0,80,597,0,0,0,146,645,0,0,93,710,200,319,0,357,0,0,0,723,0,126,128,496,0,0,21,729,0,0,0,732,731,0,611,590,0,222,137,632,203,209,717,0,580,0,0,0,603,0,0,72,500,530,134,554,674,317,614,0,0,0,0,255,74,567,587,0,0,423,614,0,0,0,86,549,656,0,641,195,230,306,611,410,671,0,0,0,340,0,0,42,176,50,0,504,611,0,0,231,81,611,0,414,491,662,0,0,0,0,0,0,122,729,0,273,92,350,122,252,625,110,0,627,0,0,54,368,543,599,0,0,387,554,0,0,0,0,508,0,280,704,0,0,504,731,0,294,62,548,143,644,293,209,554,208,62,0,213,446,330,731,0,3,375,380,689,377,620,0,0,0,0,0,292,0,0,0,351,425,26,612,689,0,498,641,0,0,573,0,0,102,728,227,377,57,494,310,694,0,0,135,121,0,324,416,341,578,659,404,361,68,0,84,588,593,0,688,0,117,657,704,0,218,272,218,627,0,0,0,561,0,306,448,36,300,674,298,424,539,671,0,0,0,0,0,0,0,474,659,0,0,615,0,622,0,0,147,237,584,0,0,0,0,183,477,0,0,0,603,0,0,117,144,422,0,0,0,567,0,0,0,518,242,296,254,137,462,431,590,536,422,0,0,0,0,2,366,682,446,579,0,84,672,683,0,32,225,139,0,579,0,0,0,110,528,617,0,0,501,0,0,0,327,454,291,68,495,473,707,0,0,0,273,685,669,0,0,75,578,598,63,327,191,332,86,135,134,110,0,122,432,455,608,209,653,530,0,0,258,170,637,153,711,0,160,643,268,599,0,0,0,0,201,191,80,382,0,0,0,86,486,551,0,0,0,273,541,261,111,500,80,554,664,500,713,641,0,534,689,0,108,284,351,101,230,640,357,149,4],"display_cycle":[4,26,178,5,159,62,146,734,531,644,734,342,353,176,21,662,734,146,600,731,734,80,417,437,229,44,734,507,167,584,311,140,584,185,685,246,471,734,734,324,473,466,60,372,76,734,592,243,674,230,27,503,734,734,123,60,320,563,700,452,619,168,68,255,332,615,734,683,237,578,21,680,734,494,191,620,347,439,285,44,417,347,557,230,204,440,734,734,734,110,591,722,734,657,734,700,734,132,621,734,734,734,179,541,258,110,375,362,365,728,359,713,734,734,357,491,466,378,434,383,692,734,734,734,398,122,24,236,473,15,632,734,507,644,734,694,734,57,525,449,689,734,734,734,333,12,599,734,183,108,410,734,734,734,393,497,653,728,734,734,734,734,734,18,594,533,734,734,207,571,573,146,371,547,516,77,488,326,326,488,325,27,279,531,734,734,734,489,734,63,585,542,734,734,486,407,602,266,260,443,359,722,587,734,27,495,389,235,140,734,327,221,719,617,734,312,260,520,492,509,734,734,734,734,480,683,734,124,575,719,734,734,734,734,312,20,369,734,734,734,123,20,15,303,398,62,554,693,734,168,644,691,590,206,527,410,407,734,734,734,532,734,88,500,641,461,734,734,734,368,713,659,734,708,734,538,734,219,350,194,595,216,452,650,302,581,707,734,734,734,734,734,597,734,734,204,707,476,734,734,734,687,734,318,635,593,734,12,468,401,596,533,734,309,568,81,393,35,626,248,581,461,734,734,734,552,734,45,525,443,677,734,734,734,734,80,597,734,734,734,146,645,734,734,93,710,200,319,734,357,734,734,734,723,734,126,128,496,734,734,21,729,734,734,734,732,731,734,611,590,734,222,137,632,203,209,717,734,580,734,734,734,603,734,734,72,500,530,134,554,674,317,614,734,734,734,734,255,74,567,587,734,734,423,614,734,734,734,86,549,656,734,641,195,230,306,611,410,671,734,734,734,340,734,734,42,176,50,734,504,611,734,734,231,81,611,734,414,491,662,734,734,734,734,734,734,122,729,734,273,92,350,122,252,625,110,734,627,734,734,54,368,543,599,734,734,387,554,734,734,734,734,508,734,280,704,734,734,504,731,734,294,62,548,143,644,293,209,554,208,62,734,213,446,330,731,734,3,375,380,689,377,620,734,734,734,734,734,292,734,734,734,351,425,26,612,689,734,498,641,734,734,573,734,734,102,728,227,377,57,494,310,694,734,734,135,121,734,324,416,341,578,659,404,361,68,734,84,588,593,734,688,734,117,657,704,734,218,272,218,627,734,734,734,561,734,306,448,36,300,674,298,424,539,671,734,734,734,734,734,734,734,474,659,734,734,615,734,622,734,734,147,237,584,734,734,734,734,183,477,734,734,734,603,734,734,117,144,422,734,734,734,567,734,734,734,518,242,296,254,137,462,431,590,536,422,734,734,734,734,2,366,682,446,579,734,84,672,683,734,32,225,139,734,579,734,734,734,110,528,617,734,734,501,734,734,734,327,454,291,68,495,473,707,734,734,734,273,685,669,734,734,75,578,598,63,327,191,332,86,135,134,110,734,122,432,455,608,209,653,530,734,734,258,170,637,153,711,734,160,643,268,599,734,734,734,734,201,191,80,382,734,734,734,86,486,551,734,734,734,273,541,261,111,500,80,554,664,500,713,641,734,534,689,734,108,284,351,101,230,640,357,149,4],"intervals":[{"from_index":0,"to_index":4,"interior_indices":[1,2,3],"interior_values":[1,1,2],"sum":4,"residue":4},{"from_index":4,"to_index":8,"interior_indices":[5,6,7],"interior_values":[5,8,13],"sum":26,"residue":26},{"from_index":8,"to_index":12,"interior_indices":[9,10,11],"interior_values":[34,55,89],"sum":178,"residue":178},{"from_index":12,"to_index":17,"interior_indices":[13,14,15,16],"interior_values":[233,377,610,253],"sum":1473,"residue":5},{"from_index":17,"to_index":20,"interior_indices":[18,19],"interior_values":[382,511],"sum":893,"residue":159},{"from_index":20,"to_index":24,"interior_indices":[21,22,23],"interior_values":[670,95,31],"sum":796,"residue":62},{"from_index":24,"to_index":28,"interior_indices":[25,26,27],"interior_values":[157,283,440],"sum":880,"residue":146},{"from_index":28,"to_index":29,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":29,"to_index":32,"interior_indices":[30,31],"interior_values":[418,113],"sum":531,"residue":531},{"from_index":32,"to_index":34,"interior_indices":[33],"interior_values":[644],"sum":644,"residue":644},{"from_index":34,"to_index":35,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":35,"to_index":40,"interior_indices":[36,37,38,39],"interior_values":[58,409,467,142],"sum":1076,"residue":342},{"from_index":40,"to_index":45,"interior_indices":[41,42,43,44],"interior_values":[17,626,643,535],"sum":1821,"residue":353},{"from_index":45,"to_index":51,"interior_indices":[46,47,48,49,50],"interior_values":[245,689,200,155,355],"sum":1644,"residue":176},{"from_index":51,"to_index":56,"interior_indices":[52,53,54,55],"interior_values":[131,641,38,679],"sum":1489,"residue":21},{"from_index":56,"to_index":58,"interior_indices":[57],"interior_values":[662],"sum":662,"residue":662},{"from_index":58,"to_index":59,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":59,"to_index":63,"interior_indices":[60,61,62],"interior_values":[484,323,73],"sum":880,"residue":146},{"from_index":63,"to_index":66,"interior_indices":[64,65],"interior_values":[469,131],"sum":600,"residue":600},{"from_index":66,"to_index":68,"interior_indices":[67],"interior_values":[731],"sum":731,"residue":731},{"from_index":68,"to_index":69,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":69,"to_index":73,"interior_indices":[70,71,72],"interior_values":[457,317,40],"sum":814,"residue":80},{"from_index":73,"to_index":76,"interior_indices":[74,75],"interior_values":[397,20],"sum":417,"residue":417},{"from_index":76,"to_index":78,"interior_indices":[77],"interior_values":[437],"sum":437,"residue":437},{"from_index":78,"to_index":86,"interior_indices":[79,80,81,82,83,84,85],"interior_values":[557,677,500,443,209,652,127],"sum":3165,"residue":229},{"from_index":86,"to_index":90,"interior_indices":[87,88,89],"interior_values":[172,217,389],"sum":778,"residue":44},{"from_index":90,"to_index":91,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":91,"to_index":96,"interior_indices":[92,93,94,95],"interior_values":[133,394,527,187],"sum":1241,"residue":507},{"from_index":96,"to_index":98,"interior_indices":[97],"interior_values":[167],"sum":167,"residue":167},{"from_index":98,"to_index":103,"interior_indices":[99,100,101,102],"interior_values":[314,461,41,502],"sum":1318,"residue":584},{"from_index":103,"to_index":105,"interior_indices":[104],"interior_values":[311],"sum":311,"residue":311},{"from_index":105,"to_index":111,"interior_indices":[106,107,108,109,110],"interior_values":[431,551,248,65,313],"sum":1608,"residue":140},{"from_index":111,"to_index":115,"interior_indices":[112,113,114],"interior_values":[691,335,292],"sum":1318,"residue":584},{"from_index":115,"to_index":117,"interior_indices":[116],"interior_values":[185],"sum":185,"residue":185},{"from_index":117,"to_index":122,"interior_indices":[118,119,120,121],"interior_values":[263,341,604,211],"sum":1419,"residue":685},{"from_index":122,"to_index":130,"interior_indices":[123,124,125,126,127,128,129],"interior_values":[292,373,665,304,235,539,40],"sum":2448,"residue":246},{"from_index":130,"to_index":136,"interior_indices":[131,132,133,134,135],"interior_values":[619,464,349,79,428],"sum":1939,"residue":471},{"from_index":136,"to_index":137,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":137,"to_index":138,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":138,"to_index":141,"interior_indices":[139,140],"interior_values":[175,149],"sum":324,"residue":324},{"from_index":141,"to_index":143,"interior_indices":[142],"interior_values":[473],"sum":473,"residue":473},{"from_index":143,"to_index":150,"interior_indices":[144,145,146,147,148,149],"interior_values":[536,599,401,266,667,199],"sum":2668,"residue":466},{"from_index":150,"to_index":153,"interior_indices":[151,152],"interior_values":[331,463],"sum":794,"residue":60},{"from_index":153,"to_index":156,"interior_indices":[154,155],"interior_values":[523,583],"sum":1106,"residue":372},{"from_index":156,"to_index":163,"interior_indices":[157,158,159,160,161,162],"interior_values":[221,593,80,673,19,692],"sum":2278,"residue":76},{"from_index":163,"to_index":164,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":164,"to_index":169,"interior_indices":[165,166,167,168],"interior_values":[646,581,493,340],"sum":2060,"residue":592},{"from_index":169,"to_index":172,"interior_indices":[170,171],"interior_values":[439,538],"sum":977,"residue":243},{"from_index":172,"to_index":176,"interior_indices":[173,174,175],"interior_values":[47,290,337],"sum":674,"residue":674},{"from_index":176,"to_index":178,"interior_indices":[177],"interior_values":[230],"sum":230,"residue":230},{"from_index":178,"to_index":183,"interior_indices":[179,180,181,182],"interior_values":[353,476,95,571],"sum":1495,"residue":27},{"from_index":183,"to_index":185,"interior_indices":[184],"interior_values":[503],"sum":503,"residue":503},{"from_index":185,"to_index":186,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":186,"to_index":187,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":187,"to_index":190,"interior_indices":[188,189],"interior_values":[109,14],"sum":123,"residue":123},{"from_index":190,"to_index":194,"interior_indices":[191,192,193],"interior_values":[137,260,397],"sum":794,"residue":60},{"from_index":194,"to_index":196,"interior_indices":[195],"interior_values":[320],"sum":320,"residue":320},{"from_index":196,"to_index":198,"interior_indices":[197],"interior_values":[563],"sum":563,"residue":563},{"from_index":198,"to_index":207,"interior_indices":[199,200,201,202,203,204,205,206],"interior_values":[635,707,608,581,455,302,23,325],"sum":3636,"residue":700},{"from_index":207,"to_index":211,"interior_indices":[208,209,210],"interior_values":[673,287,226],"sum":1186,"residue":452},{"from_index":211,"to_index":216,"interior_indices":[212,213,214,215],"interior_values":[5,518,523,307],"sum":1353,"residue":619},{"from_index":216,"to_index":219,"interior_indices":[217,218],"interior_values":[403,499],"sum":902,"residue":168},{"from_index":219,"to_index":223,"interior_indices":[220,221,222],"interior_values":[667,101,34],"sum":802,"residue":68},{"from_index":223,"to_index":228,"interior_indices":[224,225,226,227],"interior_values":[169,304,473,43],"sum":989,"residue":255},{"from_index":228,"to_index":232,"interior_indices":[229,230,231],"interior_values":[559,341,166],"sum":1066,"residue":332},{"from_index":232,"to_index":238,"interior_indices":[233,234,235,236,237],"interior_values":[673,446,385,97,482],"sum":2083,"residue":615},{"from_index":238,"to_index":239,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":239,"to_index":245,"interior_indices":[240,241,242,243,244],"interior_values":[172,499,671,436,373],"sum":2151,"residue":683},{"from_index":245,"to_index":248,"interior_indices":[246,247],"interior_values":[448,523],"sum":971,"residue":237},{"from_index":248,"to_index":252,"interior_indices":[249,250,251],"interior_values":[26,263,289],"sum":578,"residue":578},{"from_index":252,"to_index":257,"interior_indices":[253,254,255,256],"interior_values":[107,659,32,691],"sum":1489,"residue":21},{"from_index":257,"to_index":259,"interior_indices":[258],"interior_values":[680],"sum":680,"residue":680},{"from_index":259,"to_index":260,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":260,"to_index":264,"interior_indices":[261,262,263],"interior_values":[550,431,247],"sum":1228,"residue":494},{"from_index":264,"to_index":266,"interior_indices":[265],"interior_values":[191],"sum":191,"residue":191},{"from_index":266,"to_index":271,"interior_indices":[267,268,269,270],"interior_values":[326,461,53,514],"sum":1354,"residue":620},{"from_index":271,"to_index":273,"interior_indices":[272],"interior_values":[347],"sum":347,"residue":347},{"from_index":273,"to_index":281,"interior_indices":[274,275,276,277,278,279,280],"interior_values":[527,707,500,473,239,712,217],"sum":3375,"residue":439},{"from_index":281,"to_index":284,"interior_indices":[282,283],"interior_values":[412,607],"sum":1019,"residue":285},{"from_index":284,"to_index":289,"interior_indices":[285,286,287,288],"interior_values":[158,443,601,310],"sum":1512,"residue":44},{"from_index":289,"to_index":292,"interior_indices":[290,291],"interior_values":[487,664],"sum":1151,"residue":417},{"from_index":292,"to_index":294,"interior_indices":[293],"interior_values":[347],"sum":347,"residue":347},{"from_index":294,"to_index":299,"interior_indices":[295,296,297,298],"interior_values":[377,407,50,457],"sum":1291,"residue":557},{"from_index":299,"to_index":301,"interior_indices":[300],"interior_values":[230],"sum":230,"residue":230},{"from_index":301,"to_index":305,"interior_indices":[302,303,304],"interior_values":[233,236,469],"sum":938,"residue":204},{"from_index":305,"to_index":307,"interior_indices":[306],"interior_values":[440],"sum":440,"residue":440},{"from_index":307,"to_index":308,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":308,"to_index":309,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":309,"to_index":310,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":310,"to_index":314,"interior_indices":[311,312,313],"interior_values":[439,350,55],"sum":844,"residue":110},{"from_index":314,"to_index":317,"interior_indices":[315,316],"interior_values":[460,131],"sum":591,"residue":591},{"from_index":317,"to_index":319,"interior_indices":[318],"interior_values":[722],"sum":722,"residue":722},{"from_index":319,"to_index":320,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":320,"to_index":323,"interior_indices":[321,322],"interior_values":[412,245],"sum":657,"residue":657},{"from_index":323,"to_index":324,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":324,"to_index":328,"interior_indices":[325,326,327],"interior_values":[91,259,350],"sum":700,"residue":700},{"from_index":328,"to_index":329,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":329,"to_index":334,"interior_indices":[330,331,332,333],"interior_values":[100,325,425,16],"sum":866,"residue":132},{"from_index":334,"to_index":337,"interior_indices":[335,336],"interior_values":[457,164],"sum":621,"residue":621},{"from_index":337,"to_index":338,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":338,"to_index":339,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":339,"to_index":340,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":340,"to_index":345,"interior_indices":[341,342,343,344],"interior_values":[661,650,577,493],"sum":2381,"residue":179},{"from_index":345,"to_index":350,"interior_indices":[346,347,348,349],"interior_values":[95,431,526,223],"sum":1275,"residue":541},{"from_index":350,"to_index":355,"interior_indices":[351,352,353,354],"interior_values":[238,253,491,10],"sum":992,"residue":258},{"from_index":355,"to_index":359,"interior_indices":[356,357,358],"interior_values":[511,278,55],"sum":844,"residue":110},{"from_index":359,"to_index":362,"interior_indices":[360,361],"interior_values":[388,721],"sum":1109,"residue":375},{"from_index":362,"to_index":364,"interior_indices":[363],"interior_values":[362],"sum":362,"residue":362},{"from_index":364,"to_index":369,"interior_indices":[365,366,367,368],"interior_values":[365,368,733,367],"sum":1833,"residue":365},{"from_index":369,"to_index":373,"interior_indices":[370,371,372],"interior_values":[733,365,364],"sum":1462,"residue":728},{"from_index":373,"to_index":375,"interior_indices":[374],"interior_values":[359],"sum":359,"residue":359},{"from_index":375,"to_index":377,"interior_indices":[376],"interior_values":[713],"sum":713,"residue":713},{"from_index":377,"to_index":378,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":378,"to_index":379,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":379,"to_index":382,"interior_indices":[380,381],"interior_values":[223,134],"sum":357,"residue":357},{"from_index":382,"to_index":384,"interior_indices":[383],"interior_values":[491],"sum":491,"residue":491},{"from_index":384,"to_index":393,"interior_indices":[385,386,387,388,389,390,391,392],"interior_values":[605,719,590,575,431,272,703,241],"sum":4136,"residue":466},{"from_index":393,"to_index":396,"interior_indices":[394,395],"interior_values":[451,661],"sum":1112,"residue":378},{"from_index":396,"to_index":402,"interior_indices":[397,398,399,400,401],"interior_values":[305,683,254,203,457],"sum":1902,"residue":434},{"from_index":402,"to_index":404,"interior_indices":[403],"interior_values":[383],"sum":383,"residue":383},{"from_index":404,"to_index":406,"interior_indices":[405],"interior_values":[692],"sum":692,"residue":692},{"from_index":406,"to_index":407,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":407,"to_index":408,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":408,"to_index":409,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":409,"to_index":413,"interior_indices":[410,411,412],"interior_values":[475,458,199],"sum":1132,"residue":398},{"from_index":413,"to_index":415,"interior_indices":[414],"interior_values":[122],"sum":122,"residue":122},{"from_index":415,"to_index":419,"interior_indices":[416,417,418],"interior_values":[167,212,379],"sum":758,"residue":24},{"from_index":419,"to_index":421,"interior_indices":[420],"interior_values":[236],"sum":236,"residue":236},{"from_index":421,"to_index":426,"interior_indices":[422,423,424,425],"interior_values":[329,422,17,439],"sum":1207,"residue":473},{"from_index":426,"to_index":431,"interior_indices":[427,428,429,430],"interior_values":[161,617,44,661],"sum":1483,"residue":15},{"from_index":431,"to_index":433,"interior_indices":[432],"interior_values":[632],"sum":632,"residue":632},{"from_index":433,"to_index":434,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":434,"to_index":437,"interior_indices":[435,436],"interior_values":[370,137],"sum":507,"residue":507},{"from_index":437,"to_index":439,"interior_indices":[438],"interior_values":[644],"sum":644,"residue":644},{"from_index":439,"to_index":440,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":440,"to_index":444,"interior_indices":[441,442,443],"interior_values":[10,337,347],"sum":694,"residue":694},{"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":[247,544],"sum":791,"residue":57},{"from_index":448,"to_index":451,"interior_indices":[449,450],"interior_values":[601,658],"sum":1259,"residue":525},{"from_index":451,"to_index":453,"interior_indices":[452],"interior_values":[449],"sum":449,"residue":449},{"from_index":453,"to_index":455,"interior_indices":[454],"interior_values":[689],"sum":689,"residue":689},{"from_index":455,"to_index":456,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"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":[106,601,707,574,547],"sum":2535,"residue":333},{"from_index":464,"to_index":469,"interior_indices":[465,466,467,468],"interior_values":[200,587,53,640],"sum":1480,"residue":12},{"from_index":469,"to_index":471,"interior_indices":[470],"interior_values":[599],"sum":599,"residue":599},{"from_index":471,"to_index":472,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":472,"to_index":475,"interior_indices":[473,474],"interior_values":[247,670],"sum":917,"residue":183},{"from_index":475,"to_index":479,"interior_indices":[476,477,478],"interior_values":[119,302,421],"sum":842,"residue":108},{"from_index":479,"to_index":481,"interior_indices":[480],"interior_values":[410],"sum":410,"residue":410},{"from_index":481,"to_index":482,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":482,"to_index":483,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":483,"to_index":484,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":484,"to_index":487,"interior_indices":[485,486],"interior_values":[289,104],"sum":393,"residue":393},{"from_index":487,"to_index":489,"interior_indices":[488],"interior_values":[497],"sum":497,"residue":497},{"from_index":489,"to_index":491,"interior_indices":[490],"interior_values":[653],"sum":653,"residue":653},{"from_index":491,"to_index":493,"interior_indices":[492],"interior_values":[728],"sum":728,"residue":728},{"from_index":493,"to_index":494,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":494,"to_index":495,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":495,"to_index":496,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":496,"to_index":497,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":497,"to_index":498,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":498,"to_index":501,"interior_indices":[499,500],"interior_values":[115,637],"sum":752,"residue":18},{"from_index":501,"to_index":504,"interior_indices":[502,503],"interior_values":[655,673],"sum":1328,"residue":594},{"from_index":504,"to_index":506,"interior_indices":[505],"interior_values":[533],"sum":533,"residue":533},{"from_index":506,"to_index":507,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":507,"to_index":508,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":508,"to_index":514,"interior_indices":[509,510,511,512,513],"interior_values":[43,628,671,565,502],"sum":2409,"residue":207},{"from_index":514,"to_index":519,"interior_indices":[515,516,517,518],"interior_values":[101,434,535,235],"sum":1305,"residue":571},{"from_index":519,"to_index":524,"interior_indices":[520,521,522,523],"interior_values":[271,307,578,151],"sum":1307,"residue":573},{"from_index":524,"to_index":526,"interior_indices":[525],"interior_values":[146],"sum":146,"residue":146},{"from_index":526,"to_index":531,"interior_indices":[527,528,529,530],"interior_values":[287,428,715,409],"sum":1839,"residue":371},{"from_index":531,"to_index":536,"interior_indices":[532,533,534,535],"interior_values":[65,455,520,241],"sum":1281,"residue":547},{"from_index":536,"to_index":541,"interior_indices":[537,538,539,540],"interior_values":[268,295,563,124],"sum":1250,"residue":516},{"from_index":541,"to_index":543,"interior_indices":[542],"interior_values":[77],"sum":77,"residue":77},{"from_index":543,"to_index":547,"interior_indices":[544,545,546],"interior_values":[107,137,244],"sum":488,"residue":488},{"from_index":547,"to_index":551,"interior_indices":[548,549,550],"interior_values":[625,272,163],"sum":1060,"residue":326},{"from_index":551,"to_index":555,"interior_indices":[552,553,554],"interior_values":[598,299,163],"sum":1060,"residue":326},{"from_index":555,"to_index":559,"interior_indices":[556,557,558],"interior_values":[625,353,244],"sum":1222,"residue":488},{"from_index":559,"to_index":565,"interior_indices":[560,561,562,563,564],"interior_values":[107,704,77,47,124],"sum":1059,"residue":325},{"from_index":565,"to_index":568,"interior_indices":[566,567],"interior_values":[295,466],"sum":761,"residue":27},{"from_index":568,"to_index":571,"interior_indices":[569,570],"interior_values":[493,520],"sum":1013,"residue":279},{"from_index":571,"to_index":577,"interior_indices":[572,573,574,575,576],"interior_values":[65,344,409,19,428],"sum":1265,"residue":531},{"from_index":577,"to_index":578,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":578,"to_index":579,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":579,"to_index":580,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":580,"to_index":589,"interior_indices":[581,582,583,584,585,586,587,588],"interior_values":[583,578,427,271,698,235,199,434],"sum":3425,"residue":489},{"from_index":589,"to_index":590,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":590,"to_index":593,"interior_indices":[591,592],"interior_values":[232,565],"sum":797,"residue":63},{"from_index":593,"to_index":596,"interior_indices":[594,595],"interior_values":[628,691],"sum":1319,"residue":585},{"from_index":596,"to_index":598,"interior_indices":[597],"interior_values":[542],"sum":542,"residue":542},{"from_index":598,"to_index":599,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":599,"to_index":600,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":600,"to_index":606,"interior_indices":[601,602,603,604,605],"interior_values":[61,655,716,637,619],"sum":2688,"residue":486},{"from_index":606,"to_index":608,"interior_indices":[607],"interior_values":[407],"sum":407,"residue":407},{"from_index":608,"to_index":610,"interior_indices":[609],"interior_values":[602],"sum":602,"residue":602},{"from_index":610,"to_index":620,"interior_indices":[611,612,613,614,615,616,617,618,619],"interior_values":[665,728,659,653,578,497,341,104,445],"sum":4670,"residue":266},{"from_index":620,"to_index":622,"interior_indices":[621],"interior_values":[260],"sum":260,"residue":260},{"from_index":622,"to_index":627,"interior_indices":[623,624,625,626],"interior_values":[335,410,11,421],"sum":1177,"residue":443},{"from_index":627,"to_index":632,"interior_indices":[628,629,630,631],"interior_values":[119,551,670,487],"sum":1827,"residue":359},{"from_index":632,"to_index":637,"interior_indices":[633,634,635,636],"interior_values":[176,599,41,640],"sum":1456,"residue":722},{"from_index":637,"to_index":639,"interior_indices":[638],"interior_values":[587],"sum":587,"residue":587},{"from_index":639,"to_index":640,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":640,"to_index":643,"interior_indices":[641,642],"interior_values":[187,574],"sum":761,"residue":27},{"from_index":643,"to_index":646,"interior_indices":[644,645],"interior_values":[601,628],"sum":1229,"residue":495},{"from_index":646,"to_index":648,"interior_indices":[647],"interior_values":[389],"sum":389,"residue":389},{"from_index":648,"to_index":656,"interior_indices":[649,650,651,652,653,654,655],"interior_values":[539,689,494,449,209,658,133],"sum":3171,"residue":235},{"from_index":656,"to_index":660,"interior_indices":[657,658,659],"interior_values":[190,247,437],"sum":874,"residue":140},{"from_index":660,"to_index":661,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":661,"to_index":664,"interior_indices":[662,663],"interior_values":[337,724],"sum":1061,"residue":327},{"from_index":664,"to_index":670,"interior_indices":[665,666,667,668,669],"interior_values":[317,644,227,137,364],"sum":1689,"residue":221},{"from_index":670,"to_index":675,"interior_indices":[671,672,673,674],"interior_values":[131,632,29,661],"sum":1453,"residue":719},{"from_index":675,"to_index":677,"interior_indices":[676],"interior_values":[617],"sum":617,"residue":617},{"from_index":677,"to_index":678,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":678,"to_index":681,"interior_indices":[679,680],"interior_values":[295,17],"sum":312,"residue":312},{"from_index":681,"to_index":687,"interior_indices":[682,683,684,685,686],"interior_values":[329,641,236,143,379],"sum":1728,"residue":260},{"from_index":687,"to_index":693,"interior_indices":[688,689,690,691,692],"interior_values":[167,689,122,77,199],"sum":1254,"residue":520},{"from_index":693,"to_index":696,"interior_indices":[694,695],"interior_values":[475,17],"sum":492,"residue":492},{"from_index":696,"to_index":698,"interior_indices":[697],"interior_values":[509],"sum":509,"residue":509},{"from_index":698,"to_index":699,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":699,"to_index":700,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":700,"to_index":701,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":701,"to_index":702,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":702,"to_index":705,"interior_indices":[703,704],"interior_values":[277,203],"sum":480,"residue":480},{"from_index":705,"to_index":707,"interior_indices":[706],"interior_values":[683],"sum":683,"residue":683},{"from_index":707,"to_index":708,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":708,"to_index":715,"interior_indices":[709,710,711,712,713,714],"interior_values":[73,451,524,241,31,272],"sum":1592,"residue":124},{"from_index":715,"to_index":717,"interior_indices":[716],"interior_values":[575],"sum":575,"residue":575},{"from_index":717,"to_index":719,"interior_indices":[718],"interior_values":[719],"sum":719,"residue":719},{"from_index":719,"to_index":720,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":720,"to_index":721,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":721,"to_index":722,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":722,"to_index":723,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":723,"to_index":726,"interior_indices":[724,725],"interior_values":[223,89],"sum":312,"residue":312},{"from_index":726,"to_index":733,"interior_indices":[727,728,729,730,731,732],"interior_values":[401,713,380,359,5,364],"sum":2222,"residue":20},{"from_index":733,"to_index":739,"interior_indices":[734,735,736,737,738],"interior_values":[733,368,367,1,368],"sum":1837,"residue":369},{"from_index":739,"to_index":740,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":740,"to_index":741,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":741,"to_index":742,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":742,"to_index":747,"interior_indices":[743,744,745,746],"interior_values":[13,388,401,55],"sum":857,"residue":123},{"from_index":747,"to_index":751,"interior_indices":[748,749,750],"interior_values":[511,233,10],"sum":754,"residue":20},{"from_index":751,"to_index":754,"interior_indices":[752,753],"interior_values":[253,496],"sum":749,"residue":15},{"from_index":754,"to_index":757,"interior_indices":[755,756],"interior_values":[511,526],"sum":1037,"residue":303},{"from_index":757,"to_index":764,"interior_indices":[758,759,760,761,762,763],"interior_values":[95,398,493,157,650,73],"sum":1866,"residue":398},{"from_index":764,"to_index":766,"interior_indices":[765],"interior_values":[62],"sum":62,"residue":62},{"from_index":766,"to_index":770,"interior_indices":[767,768,769],"interior_values":[113,164,277],"sum":554,"residue":554},{"from_index":770,"to_index":776,"interior_indices":[771,772,773,774,775],"interior_values":[718,425,409,100,509],"sum":2161,"residue":693},{"from_index":776,"to_index":777,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":777,"to_index":780,"interior_indices":[778,779],"interior_values":[259,643],"sum":902,"residue":168},{"from_index":780,"to_index":784,"interior_indices":[781,782,783],"interior_values":[77,245,322],"sum":644,"residue":644},{"from_index":784,"to_index":790,"interior_indices":[785,786,787,788,789],"interior_values":[155,722,143,131,274],"sum":1425,"residue":691},{"from_index":790,"to_index":794,"interior_indices":[791,792,793],"interior_values":[679,350,295],"sum":1324,"residue":590},{"from_index":794,"to_index":796,"interior_indices":[795],"interior_values":[206],"sum":206,"residue":206},{"from_index":796,"to_index":801,"interior_indices":[797,798,799,800],"interior_values":[323,440,29,469],"sum":1261,"residue":527},{"from_index":801,"to_index":807,"interior_indices":[802,803,804,805,806],"interior_values":[233,731,230,227,457],"sum":1878,"residue":410},{"from_index":807,"to_index":809,"interior_indices":[808],"interior_values":[407],"sum":407,"residue":407},{"from_index":809,"to_index":810,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":810,"to_index":811,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":811,"to_index":812,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":812,"to_index":819,"interior_indices":[813,814,815,816,817,818],"interior_values":[70,487,557,310,133,443],"sum":2000,"residue":532},{"from_index":819,"to_index":820,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":820,"to_index":827,"interior_indices":[821,822,823,824,825,826],"interior_values":[127,412,539,217,22,239],"sum":1556,"residue":88},{"from_index":827,"to_index":829,"interior_indices":[828],"interior_values":[500],"sum":500,"residue":500},{"from_index":829,"to_index":835,"interior_indices":[830,831,832,833,834],"interior_values":[527,554,347,167,514],"sum":2109,"residue":641},{"from_index":835,"to_index":837,"interior_indices":[836],"interior_values":[461],"sum":461,"residue":461},{"from_index":837,"to_index":838,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":838,"to_index":839,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":839,"to_index":840,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":840,"to_index":844,"interior_indices":[841,842,843],"interior_values":[487,431,184],"sum":1102,"residue":368},{"from_index":844,"to_index":849,"interior_indices":[845,846,847,848],"interior_values":[65,680,11,691],"sum":1447,"residue":713},{"from_index":849,"to_index":851,"interior_indices":[850],"interior_values":[659],"sum":659,"residue":659},{"from_index":851,"to_index":852,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":852,"to_index":855,"interior_indices":[853,854],"interior_values":[445,263],"sum":708,"residue":708},{"from_index":855,"to_index":856,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":856,"to_index":866,"interior_indices":[857,858,859,860,861,862,863,864,865],"interior_values":[211,448,659,373,298,671,235,172,407],"sum":3474,"residue":538},{"from_index":866,"to_index":867,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":867,"to_index":872,"interior_indices":[868,869,870,871],"interior_values":[97,349,446,61],"sum":953,"residue":219},{"from_index":872,"to_index":876,"interior_indices":[873,874,875],"interior_values":[568,341,175],"sum":1084,"residue":350},{"from_index":876,"to_index":883,"interior_indices":[877,878,879,880,881,882],"interior_values":[691,473,430,169,599,34],"sum":2396,"residue":194},{"from_index":883,"to_index":888,"interior_indices":[884,885,886,887],"interior_values":[667,566,499,331],"sum":2063,"residue":595},{"from_index":888,"to_index":891,"interior_indices":[889,890],"interior_values":[427,523],"sum":950,"residue":216},{"from_index":891,"to_index":895,"interior_indices":[892,893,894],"interior_values":[5,221,226],"sum":452,"residue":452},{"from_index":895,"to_index":899,"interior_indices":[896,897,898],"interior_values":[673,386,325],"sum":1384,"residue":650},{"from_index":899,"to_index":901,"interior_indices":[900],"interior_values":[302],"sum":302,"residue":302},{"from_index":901,"to_index":903,"interior_indices":[902],"interior_values":[581],"sum":581,"residue":581},{"from_index":903,"to_index":905,"interior_indices":[904],"interior_values":[707],"sum":707,"residue":707},{"from_index":905,"to_index":906,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":906,"to_index":907,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":907,"to_index":908,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":908,"to_index":909,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":909,"to_index":910,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":910,"to_index":913,"interior_indices":[911,912],"interior_values":[337,260],"sum":597,"residue":597},{"from_index":913,"to_index":914,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":914,"to_index":915,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":915,"to_index":918,"interior_indices":[916,917],"interior_values":[109,95],"sum":204,"residue":204},{"from_index":918,"to_index":923,"interior_indices":[919,920,921,922],"interior_values":[299,503,68,571],"sum":1441,"residue":707},{"from_index":923,"to_index":925,"interior_indices":[924],"interior_values":[476],"sum":476,"residue":476},{"from_index":925,"to_index":926,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":926,"to_index":927,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":927,"to_index":928,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":928,"to_index":931,"interior_indices":[929,930],"interior_values":[397,290],"sum":687,"residue":687},{"from_index":931,"to_index":932,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":932,"to_index":940,"interior_indices":[933,934,935,936,937,938,939],"interior_values":[196,439,635,340,241,581,88],"sum":2520,"residue":318},{"from_index":940,"to_index":945,"interior_indices":[941,942,943,944],"interior_values":[23,692,715,673],"sum":2103,"residue":635},{"from_index":945,"to_index":947,"interior_indices":[946],"interior_values":[593],"sum":593,"residue":593},{"from_index":947,"to_index":948,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":948,"to_index":954,"interior_indices":[949,950,951,952,953],"interior_values":[151,523,674,463,403],"sum":2214,"residue":12},{"from_index":954,"to_index":957,"interior_indices":[955,956],"interior_values":[535,667],"sum":1202,"residue":468},{"from_index":957,"to_index":959,"interior_indices":[958],"interior_values":[401],"sum":401,"residue":401},{"from_index":959,"to_index":966,"interior_indices":[960,961,962,963,964,965],"interior_values":[536,671,473,410,149,559],"sum":2798,"residue":596},{"from_index":966,"to_index":968,"interior_indices":[967],"interior_values":[533],"sum":533,"residue":533},{"from_index":968,"to_index":969,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":969,"to_index":974,"interior_indices":[970,971,972,973],"interior_values":[79,385,464,115],"sum":1043,"residue":309},{"from_index":974,"to_index":979,"interior_indices":[975,976,977,978],"interior_values":[694,539,499,304],"sum":2036,"residue":568},{"from_index":979,"to_index":982,"interior_indices":[980,981],"interior_values":[373,442],"sum":815,"residue":81},{"from_index":982,"to_index":985,"interior_indices":[983,984],"interior_values":[523,604],"sum":1127,"residue":393},{"from_index":985,"to_index":991,"interior_indices":[986,987,988,989,990],"interior_values":[263,656,185,107,292],"sum":1503,"residue":35},{"from_index":991,"to_index":995,"interior_indices":[992,993,994],"interior_values":[691,356,313],"sum":1360,"residue":626},{"from_index":995,"to_index":997,"interior_indices":[996],"interior_values":[248],"sum":248,"residue":248},{"from_index":997,"to_index":1003,"interior_indices":[998,999,1000,1001,1002],"interior_values":[431,614,311,191,502],"sum":2049,"residue":581},{"from_index":1003,"to_index":1005,"interior_indices":[1004],"interior_values":[461],"sum":461,"residue":461},{"from_index":1005,"to_index":1006,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1006,"to_index":1007,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1007,"to_index":1008,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1008,"to_index":1014,"interior_indices":[1009,1010,1011,1012,1013],"interior_values":[547,527,340,133,473],"sum":2020,"residue":552},{"from_index":1014,"to_index":1015,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1015,"to_index":1018,"interior_indices":[1016,1017],"interior_values":[217,562],"sum":779,"residue":45},{"from_index":1018,"to_index":1021,"interior_indices":[1019,1020],"interior_values":[607,652],"sum":1259,"residue":525},{"from_index":1021,"to_index":1023,"interior_indices":[1022],"interior_values":[443],"sum":443,"residue":443},{"from_index":1023,"to_index":1025,"interior_indices":[1024],"interior_values":[677],"sum":677,"residue":677},{"from_index":1025,"to_index":1026,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1026,"to_index":1027,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1027,"to_index":1028,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1028,"to_index":1029,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1029,"to_index":1033,"interior_indices":[1030,1031,1032],"interior_values":[397,377,40],"sum":814,"residue":80},{"from_index":1033,"to_index":1036,"interior_indices":[1034,1035],"interior_values":[457,140],"sum":597,"residue":597},{"from_index":1036,"to_index":1037,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1037,"to_index":1038,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1038,"to_index":1039,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1039,"to_index":1043,"interior_indices":[1040,1041,1042],"interior_values":[469,338,73],"sum":880,"residue":146},{"from_index":1043,"to_index":1046,"interior_indices":[1044,1045],"interior_values":[484,161],"sum":645,"residue":645},{"from_index":1046,"to_index":1047,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1047,"to_index":1048,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1048,"to_index":1051,"interior_indices":[1049,1050],"interior_values":[55,38],"sum":93,"residue":93},{"from_index":1051,"to_index":1055,"interior_indices":[1052,1053,1054],"interior_values":[131,224,355],"sum":710,"residue":710},{"from_index":1055,"to_index":1057,"interior_indices":[1056],"interior_values":[200],"sum":200,"residue":200},{"from_index":1057,"to_index":1063,"interior_indices":[1058,1059,1060,1061,1062],"interior_values":[245,290,535,91,626],"sum":1787,"residue":319},{"from_index":1063,"to_index":1064,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1064,"to_index":1070,"interior_indices":[1065,1066,1067,1068,1069],"interior_values":[592,467,325,58,383],"sum":1825,"residue":357},{"from_index":1070,"to_index":1071,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1071,"to_index":1072,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1072,"to_index":1073,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1073,"to_index":1076,"interior_indices":[1074,1075],"interior_values":[418,305],"sum":723,"residue":723},{"from_index":1076,"to_index":1077,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1077,"to_index":1080,"interior_indices":[1078,1079],"interior_values":[283,577],"sum":860,"residue":126},{"from_index":1080,"to_index":1084,"interior_indices":[1081,1082,1083],"interior_values":[703,95,64],"sum":862,"residue":128},{"from_index":1084,"to_index":1091,"interior_indices":[1085,1086,1087,1088,1089,1090],"interior_values":[223,382,605,253,124,377],"sum":1964,"residue":496},{"from_index":1091,"to_index":1092,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1092,"to_index":1093,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1093,"to_index":1096,"interior_indices":[1094,1095],"interior_values":[55,700],"sum":755,"residue":21},{"from_index":1096,"to_index":1099,"interior_indices":[1097,1098],"interior_values":[721,8],"sum":729,"residue":729},{"from_index":1099,"to_index":1100,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1100,"to_index":1101,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1101,"to_index":1104,"interior_indices":[1102,1103],"interior_values":[1,733],"sum":734,"residue":0},{"from_index":1104,"to_index":1107,"interior_indices":[1105,1106],"interior_values":[733,733],"sum":1466,"residue":732},{"from_index":1107,"to_index":1109,"interior_indices":[1108],"interior_values":[731],"sum":731,"residue":731},{"from_index":1109,"to_index":1110,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1110,"to_index":1115,"interior_indices":[1111,1112,1113,1114],"interior_values":[721,713,700,679],"sum":2813,"residue":611},{"from_index":1115,"to_index":1117,"interior_indices":[1116],"interior_values":[590],"sum":590,"residue":590},{"from_index":1117,"to_index":1118,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1118,"to_index":1126,"interior_indices":[1119,1120,1121,1122,1123,1124,1125],"interior_values":[124,481,605,352,223,575,64],"sum":2424,"residue":222},{"from_index":1126,"to_index":1131,"interior_indices":[1127,1128,1129,1130],"interior_values":[703,608,577,451],"sum":2339,"residue":137},{"from_index":1131,"to_index":1135,"interior_indices":[1132,1133,1134],"interior_values":[11,305,316],"sum":632,"residue":632},{"from_index":1135,"to_index":1137,"interior_indices":[1136],"interior_values":[203],"sum":203,"residue":203},{"from_index":1137,"to_index":1142,"interior_indices":[1138,1139,1140,1141],"interior_values":[293,383,676,325],"sum":1677,"residue":209},{"from_index":1142,"to_index":1145,"interior_indices":[1143,1144],"interior_values":[592,125],"sum":717,"residue":717},{"from_index":1145,"to_index":1146,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1146,"to_index":1150,"interior_indices":[1147,1148,1149],"interior_values":[91,199,290],"sum":580,"residue":580},{"from_index":1150,"to_index":1151,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1151,"to_index":1152,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1152,"to_index":1153,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1153,"to_index":1156,"interior_indices":[1154,1155],"interior_values":[379,224],"sum":603,"residue":603},{"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":1161,"interior_indices":[1159,1160],"interior_values":[55,17],"sum":72,"residue":72},{"from_index":1161,"to_index":1165,"interior_indices":[1162,1163,1164],"interior_values":[89,161,250],"sum":500,"residue":500},{"from_index":1165,"to_index":1169,"interior_indices":[1166,1167,1168],"interior_values":[661,338,265],"sum":1264,"residue":530},{"from_index":1169,"to_index":1171,"interior_indices":[1170],"interior_values":[134],"sum":134,"residue":134},{"from_index":1171,"to_index":1175,"interior_indices":[1172,1173,1174],"interior_values":[137,140,277],"sum":554,"residue":554},{"from_index":1175,"to_index":1179,"interior_indices":[1176,1177,1178],"interior_values":[694,377,337],"sum":1408,"residue":674},{"from_index":1179,"to_index":1181,"interior_indices":[1180],"interior_values":[317],"sum":317,"residue":317},{"from_index":1181,"to_index":1183,"interior_indices":[1182],"interior_values":[614],"sum":614,"residue":614},{"from_index":1183,"to_index":1184,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1184,"to_index":1185,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1185,"to_index":1186,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1186,"to_index":1187,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1187,"to_index":1193,"interior_indices":[1188,1189,1190,1191,1192],"interior_values":[82,607,689,562,517],"sum":2457,"residue":255},{"from_index":1193,"to_index":1198,"interior_indices":[1194,1195,1196,1197],"interior_values":[128,473,601,340],"sum":1542,"residue":74},{"from_index":1198,"to_index":1201,"interior_indices":[1199,1200],"interior_values":[547,20],"sum":567,"residue":567},{"from_index":1201,"to_index":1203,"interior_indices":[1202],"interior_values":[587],"sum":587,"residue":587},{"from_index":1203,"to_index":1204,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1204,"to_index":1205,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1205,"to_index":1208,"interior_indices":[1206,1207],"interior_values":[232,191],"sum":423,"residue":423},{"from_index":1208,"to_index":1210,"interior_indices":[1209],"interior_values":[614],"sum":614,"residue":614},{"from_index":1210,"to_index":1211,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1211,"to_index":1212,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1212,"to_index":1213,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1213,"to_index":1217,"interior_indices":[1214,1215,1216],"interior_values":[421,356,43],"sum":820,"residue":86},{"from_index":1217,"to_index":1220,"interior_indices":[1218,1219],"interior_values":[442,107],"sum":549,"residue":549},{"from_index":1220,"to_index":1222,"interior_indices":[1221],"interior_values":[656],"sum":656,"residue":656},{"from_index":1222,"to_index":1223,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1223,"to_index":1229,"interior_indices":[1224,1225,1226,1227,1228],"interior_values":[130,523,653,442,361],"sum":2109,"residue":641},{"from_index":1229,"to_index":1232,"interior_indices":[1230,1231],"interior_values":[430,499],"sum":929,"residue":195},{"from_index":1232,"to_index":1236,"interior_indices":[1233,1234,1235],"interior_values":[694,155,115],"sum":964,"residue":230},{"from_index":1236,"to_index":1239,"interior_indices":[1237,1238],"interior_values":[385,655],"sum":1040,"residue":306},{"from_index":1239,"to_index":1244,"interior_indices":[1240,1241,1242,1243],"interior_values":[227,533,26,559],"sum":1345,"residue":611},{"from_index":1244,"to_index":1246,"interior_indices":[1245],"interior_values":[410],"sum":410,"residue":410},{"from_index":1246,"to_index":1248,"interior_indices":[1247],"interior_values":[671],"sum":671,"residue":671},{"from_index":1248,"to_index":1249,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1249,"to_index":1250,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1250,"to_index":1251,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1251,"to_index":1261,"interior_indices":[1252,1253,1254,1255,1256,1257,1258,1259,1260],"interior_values":[67,535,602,403,271,674,211,151,362],"sum":3276,"residue":340},{"from_index":1261,"to_index":1262,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1262,"to_index":1263,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1263,"to_index":1266,"interior_indices":[1264,1265],"interior_values":[61,715],"sum":776,"residue":42},{"from_index":1266,"to_index":1270,"interior_indices":[1267,1268,1269],"interior_values":[23,65,88],"sum":176,"residue":176},{"from_index":1270,"to_index":1277,"interior_indices":[1271,1272,1273,1274,1275,1276],"interior_values":[241,394,635,295,196,491],"sum":2252,"residue":50},{"from_index":1277,"to_index":1278,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1278,"to_index":1281,"interior_indices":[1279,1280],"interior_values":[397,107],"sum":504,"residue":504},{"from_index":1281,"to_index":1283,"interior_indices":[1282],"interior_values":[611],"sum":611,"residue":611},{"from_index":1283,"to_index":1284,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1284,"to_index":1285,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1285,"to_index":1288,"interior_indices":[1286,1287],"interior_values":[163,68],"sum":231,"residue":231},{"from_index":1288,"to_index":1293,"interior_indices":[1289,1290,1291,1292],"interior_values":[299,530,95,625],"sum":1549,"residue":81},{"from_index":1293,"to_index":1295,"interior_indices":[1294],"interior_values":[611],"sum":611,"residue":611},{"from_index":1295,"to_index":1296,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1296,"to_index":1299,"interior_indices":[1297,1298],"interior_values":[337,77],"sum":414,"residue":414},{"from_index":1299,"to_index":1301,"interior_indices":[1300],"interior_values":[491],"sum":491,"residue":491},{"from_index":1301,"to_index":1303,"interior_indices":[1302],"interior_values":[662],"sum":662,"residue":662},{"from_index":1303,"to_index":1304,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1304,"to_index":1305,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1305,"to_index":1306,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1306,"to_index":1307,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1307,"to_index":1308,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1308,"to_index":1309,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1309,"to_index":1313,"interior_indices":[1310,1311,1312],"interior_values":[409,386,61],"sum":856,"residue":122},{"from_index":1313,"to_index":1316,"interior_indices":[1314,1315],"interior_values":[508,221],"sum":729,"residue":729},{"from_index":1316,"to_index":1317,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1317,"to_index":1325,"interior_indices":[1318,1319,1320,1321,1322,1323,1324],"interior_values":[211,427,638,331,235,566,67],"sum":2475,"residue":273},{"from_index":1325,"to_index":1330,"interior_indices":[1326,1327,1328,1329],"interior_values":[700,599,565,430],"sum":2294,"residue":92},{"from_index":1330,"to_index":1334,"interior_indices":[1331,1332,1333],"interior_values":[691,218,175],"sum":1084,"residue":350},{"from_index":1334,"to_index":1338,"interior_indices":[1335,1336,1337],"interior_values":[568,227,61],"sum":856,"residue":122},{"from_index":1338,"to_index":1341,"interior_indices":[1339,1340],"interior_values":[349,637],"sum":986,"residue":252},{"from_index":1341,"to_index":1346,"interior_indices":[1342,1343,1344,1345],"interior_values":[155,407,562,235],"sum":1359,"residue":625},{"from_index":1346,"to_index":1353,"interior_indices":[1347,1348,1349,1350,1351,1352],"interior_values":[298,361,659,286,211,497],"sum":2312,"residue":110},{"from_index":1353,"to_index":1354,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1354,"to_index":1357,"interior_indices":[1355,1356],"interior_values":[445,182],"sum":627,"residue":627},{"from_index":1357,"to_index":1358,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1358,"to_index":1359,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1359,"to_index":1362,"interior_indices":[1360,1361],"interior_values":[43,11],"sum":54,"residue":54},{"from_index":1362,"to_index":1366,"interior_indices":[1363,1364,1365],"interior_values":[65,119,184],"sum":368,"residue":368},{"from_index":1366,"to_index":1369,"interior_indices":[1367,1368],"interior_values":[487,56],"sum":543,"residue":543},{"from_index":1369,"to_index":1371,"interior_indices":[1370],"interior_values":[599],"sum":599,"residue":599},{"from_index":1371,"to_index":1372,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1372,"to_index":1373,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1373,"to_index":1376,"interior_indices":[1374,1375],"interior_values":[220,167],"sum":387,"residue":387},{"from_index":1376,"to_index":1378,"interior_indices":[1377],"interior_values":[554],"sum":554,"residue":554},{"from_index":1378,"to_index":1379,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1379,"to_index":1380,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1380,"to_index":1381,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1381,"to_index":1382,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1382,"to_index":1389,"interior_indices":[1383,1384,1385,1386,1387,1388],"interior_values":[22,517,539,322,127,449],"sum":1976,"residue":508},{"from_index":1389,"to_index":1390,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1390,"to_index":1397,"interior_indices":[1391,1392,1393,1394,1395,1396],"interior_values":[133,424,557,247,70,317],"sum":1748,"residue":280},{"from_index":1397,"to_index":1399,"interior_indices":[1398],"interior_values":[704],"sum":704,"residue":704},{"from_index":1399,"to_index":1400,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1400,"to_index":1401,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1401,"to_index":1404,"interior_indices":[1402,1403],"interior_values":[277,227],"sum":504,"residue":504},{"from_index":1404,"to_index":1406,"interior_indices":[1405],"interior_values":[731],"sum":731,"residue":731},{"from_index":1406,"to_index":1407,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1407,"to_index":1410,"interior_indices":[1408,1409],"interior_values":[265,29],"sum":294,"residue":294},{"from_index":1410,"to_index":1416,"interior_indices":[1411,1412,1413,1414,1415],"interior_values":[323,617,206,89,295],"sum":1530,"residue":62},{"from_index":1416,"to_index":1420,"interior_indices":[1417,1418,1419],"interior_values":[679,329,274],"sum":1282,"residue":548},{"from_index":1420,"to_index":1422,"interior_indices":[1421],"interior_values":[143],"sum":143,"residue":143},{"from_index":1422,"to_index":1426,"interior_indices":[1423,1424,1425],"interior_values":[155,167,322],"sum":644,"residue":644},{"from_index":1426,"to_index":1431,"interior_indices":[1427,1428,1429,1430],"interior_values":[77,566,643,475],"sum":1761,"residue":293},{"from_index":1431,"to_index":1436,"interior_indices":[1432,1433,1434,1435],"interior_values":[125,509,634,409],"sum":1677,"residue":209},{"from_index":1436,"to_index":1440,"interior_indices":[1437,1438,1439],"interior_values":[718,293,277],"sum":1288,"residue":554},{"from_index":1440,"to_index":1446,"interior_indices":[1441,1442,1443,1444,1445],"interior_values":[113,683,62,11,73],"sum":942,"residue":208},{"from_index":1446,"to_index":1450,"interior_indices":[1447,1448,1449],"interior_values":[157,241,398],"sum":796,"residue":62},{"from_index":1450,"to_index":1451,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1451,"to_index":1457,"interior_indices":[1452,1453,1454,1455,1456],"interior_values":[208,511,719,496,481],"sum":2415,"residue":213},{"from_index":1457,"to_index":1461,"interior_indices":[1458,1459,1460],"interior_values":[724,233,223],"sum":1180,"residue":446},{"from_index":1461,"to_index":1467,"interior_indices":[1462,1463,1464,1465,1466],"interior_values":[679,401,346,13,359],"sum":1798,"residue":330},{"from_index":1467,"to_index":1469,"interior_indices":[1468],"interior_values":[731],"sum":731,"residue":731},{"from_index":1469,"to_index":1470,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1470,"to_index":1475,"interior_indices":[1471,1472,1473,1474],"interior_values":[1,367,368,1],"sum":737,"residue":3},{"from_index":1475,"to_index":1478,"interior_indices":[1476,1477],"interior_values":[370,5],"sum":375,"residue":375},{"from_index":1478,"to_index":1480,"interior_indices":[1479],"interior_values":[380],"sum":380,"residue":380},{"from_index":1480,"to_index":1485,"interior_indices":[1481,1482,1483,1484],"interior_values":[401,422,89,511],"sum":1423,"residue":689},{"from_index":1485,"to_index":1487,"interior_indices":[1486],"interior_values":[377],"sum":377,"residue":377},{"from_index":1487,"to_index":1489,"interior_indices":[1488],"interior_values":[620],"sum":620,"residue":620},{"from_index":1489,"to_index":1490,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1490,"to_index":1491,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1491,"to_index":1492,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1492,"to_index":1493,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1493,"to_index":1494,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1494,"to_index":1501,"interior_indices":[1495,1496,1497,1498,1499,1500],"interior_values":[31,493,524,283,73,356],"sum":1760,"residue":292},{"from_index":1501,"to_index":1502,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1502,"to_index":1503,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1503,"to_index":1504,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1504,"to_index":1507,"interior_indices":[1505,1506],"interior_values":[277,74],"sum":351,"residue":351},{"from_index":1507,"to_index":1509,"interior_indices":[1508],"interior_values":[425],"sum":425,"residue":425},{"from_index":1509,"to_index":1515,"interior_indices":[1510,1511,1512,1513,1514],"interior_values":[467,509,242,17,259],"sum":1494,"residue":26},{"from_index":1515,"to_index":1518,"interior_indices":[1516,1517],"interior_values":[535,77],"sum":612,"residue":612},{"from_index":1518,"to_index":1520,"interior_indices":[1519],"interior_values":[689],"sum":689,"residue":689},{"from_index":1520,"to_index":1521,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1521,"to_index":1524,"interior_indices":[1522,1523],"interior_values":[355,143],"sum":498,"residue":498},{"from_index":1524,"to_index":1526,"interior_indices":[1525],"interior_values":[641],"sum":641,"residue":641},{"from_index":1526,"to_index":1527,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1527,"to_index":1528,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1528,"to_index":1531,"interior_indices":[1529,1530],"interior_values":[295,278],"sum":573,"residue":573},{"from_index":1531,"to_index":1532,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1532,"to_index":1533,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1533,"to_index":1536,"interior_indices":[1534,1535],"interior_values":[73,29],"sum":102,"residue":102},{"from_index":1536,"to_index":1540,"interior_indices":[1537,1538,1539],"interior_values":[131,233,364],"sum":728,"residue":728},{"from_index":1540,"to_index":1542,"interior_indices":[1541],"interior_values":[227],"sum":227,"residue":227},{"from_index":1542,"to_index":1547,"interior_indices":[1543,1544,1545,1546],"interior_values":[317,407,724,397],"sum":1845,"residue":377},{"from_index":1547,"to_index":1556,"interior_indices":[1548,1549,1550,1551,1552,1553,1554,1555],"interior_values":[50,437,487,190,677,133,76,209],"sum":2259,"residue":57},{"from_index":1556,"to_index":1558,"interior_indices":[1557],"interior_values":[494],"sum":494,"residue":494},{"from_index":1558,"to_index":1565,"interior_indices":[1559,1560,1561,1562,1563,1564],"interior_values":[539,584,389,239,628,133],"sum":2512,"residue":310},{"from_index":1565,"to_index":1569,"interior_indices":[1566,1567,1568],"interior_values":[160,187,347],"sum":694,"residue":694},{"from_index":1569,"to_index":1570,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1570,"to_index":1571,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1571,"to_index":1574,"interior_indices":[1572,1573],"interior_values":[94,41],"sum":135,"residue":135},{"from_index":1574,"to_index":1580,"interior_indices":[1575,1576,1577,1578,1579],"interior_values":[176,311,487,64,551],"sum":1589,"residue":121},{"from_index":1580,"to_index":1581,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1581,"to_index":1584,"interior_indices":[1582,1583],"interior_values":[313,11],"sum":324,"residue":324},{"from_index":1584,"to_index":1590,"interior_indices":[1585,1586,1587,1588,1589],"interior_values":[335,659,260,185,445],"sum":1884,"residue":416},{"from_index":1590,"to_index":1592,"interior_indices":[1591],"interior_values":[341],"sum":341,"residue":341},{"from_index":1592,"to_index":1594,"interior_indices":[1593],"interior_values":[578],"sum":578,"residue":578},{"from_index":1594,"to_index":1596,"interior_indices":[1595],"interior_values":[659],"sum":659,"residue":659},{"from_index":1596,"to_index":1609,"interior_indices":[1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608],"interior_values":[665,671,602,539,407,212,619,97,716,79,61,140],"sum":4808,"residue":404},{"from_index":1609,"to_index":1615,"interior_indices":[1610,1611,1612,1613,1614],"interior_values":[341,542,149,691,106],"sum":1829,"residue":361},{"from_index":1615,"to_index":1619,"interior_indices":[1616,1617,1618],"interior_values":[169,232,401],"sum":802,"residue":68},{"from_index":1619,"to_index":1620,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1620,"to_index":1626,"interior_indices":[1621,1622,1623,1624,1625],"interior_values":[199,499,698,463,427],"sum":2286,"residue":84},{"from_index":1626,"to_index":1629,"interior_indices":[1627,1628],"interior_values":[583,5],"sum":588,"residue":588},{"from_index":1629,"to_index":1631,"interior_indices":[1630],"interior_values":[593],"sum":593,"residue":593},{"from_index":1631,"to_index":1632,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1632,"to_index":1636,"interior_indices":[1633,1634,1635],"interior_values":[19,325,344],"sum":688,"residue":688},{"from_index":1636,"to_index":1637,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1637,"to_index":1643,"interior_indices":[1638,1639,1640,1641,1642],"interior_values":[214,493,707,466,439],"sum":2319,"residue":117},{"from_index":1643,"to_index":1646,"interior_indices":[1644,1645],"interior_values":[610,47],"sum":657,"residue":657},{"from_index":1646,"to_index":1648,"interior_indices":[1647],"interior_values":[704],"sum":704,"residue":704},{"from_index":1648,"to_index":1649,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1649,"to_index":1653,"interior_indices":[1650,1651,1652],"interior_values":[490,353,109],"sum":952,"residue":218},{"from_index":1653,"to_index":1657,"interior_indices":[1654,1655,1656],"interior_values":[571,299,136],"sum":1006,"residue":272},{"from_index":1657,"to_index":1661,"interior_indices":[1658,1659,1660],"interior_values":[571,272,109],"sum":952,"residue":218},{"from_index":1661,"to_index":1664,"interior_indices":[1662,1663],"interior_values":[490,137],"sum":627,"residue":627},{"from_index":1664,"to_index":1665,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1665,"to_index":1666,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1666,"to_index":1667,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1667,"to_index":1676,"interior_indices":[1668,1669,1670,1671,1672,1673,1674,1675],"interior_values":[610,563,439,268,707,241,214,455],"sum":3497,"residue":561},{"from_index":1676,"to_index":1677,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1677,"to_index":1680,"interior_indices":[1678,1679],"interior_values":[325,715],"sum":1040,"residue":306},{"from_index":1680,"to_index":1686,"interior_indices":[1681,1682,1683,1684,1685],"interior_values":[287,593,146,5,151],"sum":1182,"residue":448},{"from_index":1686,"to_index":1689,"interior_indices":[1687,1688],"interior_values":[307,463],"sum":770,"residue":36},{"from_index":1689,"to_index":1692,"interior_indices":[1690,1691],"interior_values":[499,535],"sum":1034,"residue":300},{"from_index":1692,"to_index":1701,"interior_indices":[1693,1694,1695,1696,1697,1698,1699,1700],"interior_values":[101,401,502,169,671,106,43,149],"sum":2142,"residue":674},{"from_index":1701,"to_index":1707,"interior_indices":[1702,1703,1704,1705,1706],"interior_values":[341,533,140,673,79],"sum":1766,"residue":298},{"from_index":1707,"to_index":1711,"interior_indices":[1708,1709,1710],"interior_values":[97,115,212],"sum":424,"residue":424},{"from_index":1711,"to_index":1713,"interior_indices":[1712],"interior_values":[539],"sum":539,"residue":539},{"from_index":1713,"to_index":1715,"interior_indices":[1714],"interior_values":[671],"sum":671,"residue":671},{"from_index":1715,"to_index":1716,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1716,"to_index":1717,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1717,"to_index":1718,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1718,"to_index":1719,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1719,"to_index":1720,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1720,"to_index":1721,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1721,"to_index":1722,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1722,"to_index":1725,"interior_indices":[1723,1724],"interior_values":[289,185],"sum":474,"residue":474},{"from_index":1725,"to_index":1727,"interior_indices":[1726],"interior_values":[659],"sum":659,"residue":659},{"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":1732,"interior_indices":[1730,1731],"interior_values":[313,302],"sum":615,"residue":615},{"from_index":1732,"to_index":1733,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1733,"to_index":1737,"interior_indices":[1734,1735,1736],"interior_values":[64,247,311],"sum":622,"residue":622},{"from_index":1737,"to_index":1738,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1738,"to_index":1739,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1739,"to_index":1742,"interior_indices":[1740,1741],"interior_values":[94,53],"sum":147,"residue":147},{"from_index":1742,"to_index":1751,"interior_indices":[1743,1744,1745,1746,1747,1748,1749,1750],"interior_values":[200,347,547,160,707,133,106,239],"sum":2439,"residue":237},{"from_index":1751,"to_index":1753,"interior_indices":[1752],"interior_values":[584],"sum":584,"residue":584},{"from_index":1753,"to_index":1754,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1754,"to_index":1755,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1755,"to_index":1756,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1756,"to_index":1757,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1757,"to_index":1763,"interior_indices":[1758,1759,1760,1761,1762],"interior_values":[76,601,677,544,487],"sum":2385,"residue":183},{"from_index":1763,"to_index":1769,"interior_indices":[1764,1765,1766,1767,1768],"interior_values":[50,347,397,10,407],"sum":1211,"residue":477},{"from_index":1769,"to_index":1770,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1770,"to_index":1771,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1771,"to_index":1772,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1772,"to_index":1775,"interior_indices":[1773,1774],"interior_values":[370,233],"sum":603,"residue":603},{"from_index":1775,"to_index":1776,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1776,"to_index":1777,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1777,"to_index":1780,"interior_indices":[1778,1779],"interior_values":[73,44],"sum":117,"residue":117},{"from_index":1780,"to_index":1784,"interior_indices":[1781,1782,1783],"interior_values":[161,278,439],"sum":878,"residue":144},{"from_index":1784,"to_index":1786,"interior_indices":[1785],"interior_values":[422],"sum":422,"residue":422},{"from_index":1786,"to_index":1787,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1787,"to_index":1788,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1788,"to_index":1789,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1789,"to_index":1792,"interior_indices":[1790,1791],"interior_values":[355,212],"sum":567,"residue":567},{"from_index":1792,"to_index":1793,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1793,"to_index":1794,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1794,"to_index":1795,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1795,"to_index":1799,"interior_indices":[1796,1797,1798],"interior_values":[535,458,259],"sum":1252,"residue":518},{"from_index":1799,"to_index":1801,"interior_indices":[1800],"interior_values":[242],"sum":242,"residue":242},{"from_index":1801,"to_index":1808,"interior_indices":[1802,1803,1804,1805,1806,1807],"interior_values":[467,692,425,383,74,457],"sum":2498,"residue":296},{"from_index":1808,"to_index":1810,"interior_indices":[1809],"interior_values":[254],"sum":254,"residue":254},{"from_index":1810,"to_index":1815,"interior_indices":[1811,1812,1813,1814],"interior_values":[305,356,661,283],"sum":1605,"residue":137},{"from_index":1815,"to_index":1818,"interior_indices":[1816,1817],"interior_values":[493,703],"sum":1196,"residue":462},{"from_index":1818,"to_index":1820,"interior_indices":[1819],"interior_values":[431],"sum":431,"residue":431},{"from_index":1820,"to_index":1822,"interior_indices":[1821],"interior_values":[590],"sum":590,"residue":590},{"from_index":1822,"to_index":1829,"interior_indices":[1823,1824,1825,1826,1827,1828],"interior_values":[605,620,491,377,134,511],"sum":2738,"residue":536},{"from_index":1829,"to_index":1831,"interior_indices":[1830],"interior_values":[422],"sum":422,"residue":422},{"from_index":1831,"to_index":1832,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1832,"to_index":1833,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1833,"to_index":1834,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1834,"to_index":1835,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1835,"to_index":1839,"interior_indices":[1836,1837,1838],"interior_values":[370,365,1],"sum":736,"residue":2},{"from_index":1839,"to_index":1842,"interior_indices":[1840,1841],"interior_values":[367,733],"sum":1100,"residue":366},{"from_index":1842,"to_index":1849,"interior_indices":[1843,1844,1845,1846,1847,1848],"interior_values":[365,731,362,359,721,346],"sum":2884,"residue":682},{"from_index":1849,"to_index":1853,"interior_indices":[1850,1851,1852],"interior_values":[679,278,223],"sum":1180,"residue":446},{"from_index":1853,"to_index":1862,"interior_indices":[1854,1855,1856,1857,1858,1859,1860,1861],"interior_values":[724,491,481,238,719,223,208,431],"sum":3515,"residue":579},{"from_index":1862,"to_index":1863,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1863,"to_index":1866,"interior_indices":[1864,1865],"interior_values":[241,577],"sum":818,"residue":84},{"from_index":1866,"to_index":1869,"interior_indices":[1867,1868],"interior_values":[661,11],"sum":672,"residue":672},{"from_index":1869,"to_index":1871,"interior_indices":[1870],"interior_values":[683],"sum":683,"residue":683},{"from_index":1871,"to_index":1872,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1872,"to_index":1876,"interior_indices":[1873,1874,1875],"interior_values":[457,293,16],"sum":766,"residue":32},{"from_index":1876,"to_index":1879,"interior_indices":[1877,1878],"interior_values":[325,634],"sum":959,"residue":225},{"from_index":1879,"to_index":1885,"interior_indices":[1880,1881,1882,1883,1884],"interior_values":[125,350,475,91,566],"sum":1607,"residue":139},{"from_index":1885,"to_index":1886,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1886,"to_index":1889,"interior_indices":[1887,1888],"interior_values":[412,167],"sum":579,"residue":579},{"from_index":1889,"to_index":1890,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1890,"to_index":1891,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1891,"to_index":1892,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1892,"to_index":1896,"interior_indices":[1893,1894,1895],"interior_values":[460,329,55],"sum":844,"residue":110},{"from_index":1896,"to_index":1899,"interior_indices":[1897,1898],"interior_values":[439,89],"sum":528,"residue":528},{"from_index":1899,"to_index":1901,"interior_indices":[1900],"interior_values":[617],"sum":617,"residue":617},{"from_index":1901,"to_index":1902,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1902,"to_index":1903,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1903,"to_index":1906,"interior_indices":[1904,1905],"interior_values":[265,236],"sum":501,"residue":501},{"from_index":1906,"to_index":1907,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1907,"to_index":1908,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1908,"to_index":1909,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1909,"to_index":1912,"interior_indices":[1910,1911],"interior_values":[277,50],"sum":327,"residue":327},{"from_index":1912,"to_index":1919,"interior_indices":[1913,1914,1915,1916,1917,1918],"interior_values":[377,704,347,317,664,247],"sum":2656,"residue":454},{"from_index":1919,"to_index":1922,"interior_indices":[1920,1921],"interior_values":[424,601],"sum":1025,"residue":291},{"from_index":1922,"to_index":1927,"interior_indices":[1923,1924,1925,1926],"interior_values":[158,449,607,322],"sum":1536,"residue":68},{"from_index":1927,"to_index":1930,"interior_indices":[1928,1929],"interior_values":[517,712],"sum":1229,"residue":495},{"from_index":1930,"to_index":1932,"interior_indices":[1931],"interior_values":[473],"sum":473,"residue":473},{"from_index":1932,"to_index":1934,"interior_indices":[1933],"interior_values":[707],"sum":707,"residue":707},{"from_index":1934,"to_index":1935,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1935,"to_index":1936,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1936,"to_index":1937,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1937,"to_index":1940,"interior_indices":[1938,1939],"interior_values":[220,53],"sum":273,"residue":273},{"from_index":1940,"to_index":1946,"interior_indices":[1941,1942,1943,1944,1945],"interior_values":[326,599,191,56,247],"sum":1419,"residue":685},{"from_index":1946,"to_index":1949,"interior_indices":[1947,1948],"interior_values":[550,119],"sum":669,"residue":669},{"from_index":1949,"to_index":1950,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1950,"to_index":1951,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1951,"to_index":1954,"interior_indices":[1952,1953],"interior_values":[43,32],"sum":75,"residue":75},{"from_index":1954,"to_index":1958,"interior_indices":[1955,1956,1957],"interior_values":[107,182,289],"sum":578,"residue":578},{"from_index":1958,"to_index":1963,"interior_indices":[1959,1960,1961,1962],"interior_values":[26,497,523,286],"sum":1332,"residue":598},{"from_index":1963,"to_index":1966,"interior_indices":[1964,1965],"interior_values":[361,436],"sum":797,"residue":63},{"from_index":1966,"to_index":1969,"interior_indices":[1967,1968],"interior_values":[499,562],"sum":1061,"residue":327},{"from_index":1969,"to_index":1974,"interior_indices":[1970,1971,1972,1973],"interior_values":[155,482,637,385],"sum":1659,"residue":191},{"from_index":1974,"to_index":1978,"interior_indices":[1975,1976,1977],"interior_values":[673,227,166],"sum":1066,"residue":332},{"from_index":1978,"to_index":1982,"interior_indices":[1979,1980,1981],"interior_values":[559,218,43],"sum":820,"residue":86},{"from_index":1982,"to_index":1985,"interior_indices":[1983,1984],"interior_values":[304,565],"sum":869,"residue":135},{"from_index":1985,"to_index":1989,"interior_indices":[1986,1987,1988],"interior_values":[700,101,67],"sum":868,"residue":134},{"from_index":1989,"to_index":1996,"interior_indices":[1990,1991,1992,1993,1994,1995],"interior_values":[235,403,638,307,211,518],"sum":2312,"residue":110},{"from_index":1996,"to_index":1997,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1997,"to_index":2001,"interior_indices":[1998,1999,2000],"interior_values":[508,287,61],"sum":856,"residue":122},{"from_index":2001,"to_index":2004,"interior_indices":[2002,2003],"interior_values":[409,23],"sum":432,"residue":432},{"from_index":2004,"to_index":2006,"interior_indices":[2005],"interior_values":[455],"sum":455,"residue":455},{"from_index":2006,"to_index":2008,"interior_indices":[2007],"interior_values":[608],"sum":608,"residue":608},{"from_index":2008,"to_index":2016,"interior_indices":[2009,2010,2011,2012,2013,2014,2015],"interior_values":[635,662,563,491,320,77,397],"sum":3145,"residue":209},{"from_index":2016,"to_index":2021,"interior_indices":[2017,2018,2019,2020],"interior_values":[137,611,14,625],"sum":1387,"residue":653},{"from_index":2021,"to_index":2023,"interior_indices":[2022],"interior_values":[530],"sum":530,"residue":530},{"from_index":2023,"to_index":2024,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"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":[163,95],"sum":258,"residue":258},{"from_index":2028,"to_index":2034,"interior_indices":[2029,2030,2031,2032,2033],"interior_values":[353,611,230,107,337],"sum":1638,"residue":170},{"from_index":2034,"to_index":2039,"interior_indices":[2035,2036,2037,2038],"interior_values":[47,491,538,295],"sum":1371,"residue":637},{"from_index":2039,"to_index":2042,"interior_indices":[2040,2041],"interior_values":[394,493],"sum":887,"residue":153},{"from_index":2042,"to_index":2045,"interior_indices":[2043,2044],"interior_values":[646,65],"sum":711,"residue":711},{"from_index":2045,"to_index":2046,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2046,"to_index":2050,"interior_indices":[2047,2048,2049],"interior_values":[19,61,80],"sum":160,"residue":160},{"from_index":2050,"to_index":2055,"interior_indices":[2051,2052,2053,2054],"interior_values":[221,362,583,211],"sum":1377,"residue":643},{"from_index":2055,"to_index":2062,"interior_indices":[2056,2057,2058,2059,2060,2061],"interior_values":[271,331,602,199,67,266],"sum":1736,"residue":268},{"from_index":2062,"to_index":2064,"interior_indices":[2063],"interior_values":[599],"sum":599,"residue":599},{"from_index":2064,"to_index":2065,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2065,"to_index":2066,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2066,"to_index":2067,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2067,"to_index":2068,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2068,"to_index":2071,"interior_indices":[2069,2070],"interior_values":[175,26],"sum":201,"residue":201},{"from_index":2071,"to_index":2076,"interior_indices":[2072,2073,2074,2075],"interior_values":[227,428,655,349],"sum":1659,"residue":191},{"from_index":2076,"to_index":2080,"interior_indices":[2077,2078,2079],"interior_values":[619,155,40],"sum":814,"residue":80},{"from_index":2080,"to_index":2090,"interior_indices":[2081,2082,2083,2084,2085,2086,2087,2088,2089],"interior_values":[235,430,665,361,292,653,211,130,341],"sum":3318,"residue":382},{"from_index":2090,"to_index":2091,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2091,"to_index":2092,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2092,"to_index":2093,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2093,"to_index":2097,"interior_indices":[2094,2095,2096],"interior_values":[442,335,43],"sum":820,"residue":86},{"from_index":2097,"to_index":2100,"interior_indices":[2098,2099],"interior_values":[421,65],"sum":486,"residue":486},{"from_index":2100,"to_index":2102,"interior_indices":[2101],"interior_values":[551],"sum":551,"residue":551},{"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":2105,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2105,"to_index":2108,"interior_indices":[2106,2107],"interior_values":[232,41],"sum":273,"residue":273},{"from_index":2108,"to_index":2114,"interior_indices":[2109,2110,2111,2112,2113],"interior_values":[314,587,167,20,187],"sum":1275,"residue":541},{"from_index":2114,"to_index":2117,"interior_indices":[2115,2116],"interior_values":[394,601],"sum":995,"residue":261},{"from_index":2117,"to_index":2126,"interior_indices":[2118,2119,2120,2121,2122,2123,2124,2125],"interior_values":[128,389,517,172,689,127,82,209],"sum":2313,"residue":111},{"from_index":2126,"to_index":2128,"interior_indices":[2127],"interior_values":[500],"sum":500,"residue":500},{"from_index":2128,"to_index":2135,"interior_indices":[2129,2130,2131,2132,2133,2134],"interior_values":[557,614,437,317,20,337],"sum":2282,"residue":80},{"from_index":2135,"to_index":2139,"interior_indices":[2136,2137,2138],"interior_values":[694,317,277],"sum":1288,"residue":554},{"from_index":2139,"to_index":2145,"interior_indices":[2140,2141,2142,2143,2144],"interior_values":[137,731,134,131,265],"sum":1398,"residue":664},{"from_index":2145,"to_index":2149,"interior_indices":[2146,2147,2148],"interior_values":[661,323,250],"sum":1234,"residue":500},{"from_index":2149,"to_index":2154,"interior_indices":[2150,2151,2152,2153],"interior_values":[89,662,17,679],"sum":1447,"residue":713},{"from_index":2154,"to_index":2156,"interior_indices":[2155],"interior_values":[641],"sum":641,"residue":641},{"from_index":2156,"to_index":2157,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2157,"to_index":2160,"interior_indices":[2158,2159],"interior_values":[379,155],"sum":534,"residue":534},{"from_index":2160,"to_index":2162,"interior_indices":[2161],"interior_values":[689],"sum":689,"residue":689},{"from_index":2162,"to_index":2163,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":2163,"to_index":2166,"interior_indices":[2164,2165],"interior_values":[199,643],"sum":842,"residue":108},{"from_index":2166,"to_index":2170,"interior_indices":[2167,2168,2169],"interior_values":[17,125,142],"sum":284,"residue":284},{"from_index":2170,"to_index":2173,"interior_indices":[2171,2172],"interior_values":[409,676],"sum":1085,"residue":351},{"from_index":2173,"to_index":2179,"interior_indices":[2174,2175,2176,2177,2178],"interior_values":[293,644,203,113,316],"sum":1569,"residue":101},{"from_index":2179,"to_index":2186,"interior_indices":[2180,2181,2182,2183,2184,2185],"interior_values":[11,440,451,157,608,31],"sum":1698,"residue":230},{"from_index":2186,"to_index":2191,"interior_indices":[2187,2188,2189,2190],"interior_values":[670,575,511,352],"sum":2108,"residue":640},{"from_index":2191,"to_index":2194,"interior_indices":[2192,2193],"interior_values":[481,610],"sum":1091,"residue":357},{"from_index":2194,"to_index":2202,"interior_indices":[2195,2196,2197,2198,2199,2200,2201],"interior_values":[233,590,89,679,34,713,13],"sum":2351,"residue":149},{"from_index":2202,"to_index":0,"interior_indices":[2203,2204,2205,2206,2207],"interior_values":[5,731,2,733,1],"sum":1472,"residue":4}],"minimal_cycle":[4,26,178,5,159,62,146,0,531,644,0,342,353,176,21,662,0,146,600,731,0,80,417,437,229,44,0,507,167,584,311,140,584,185,685,246,471,0,0,324,473,466,60,372,76,0,592,243,674,230,27,503,0,0,123,60,320,563,700,452,619,168,68,255,332,615,0,683,237,578,21,680,0,494,191,620,347,439,285,44,417,347,557,230,204,440,0,0,0,110,591,722,0,657,0,700,0,132,621,0,0,0,179,541,258,110,375,362,365,728,359,713,0,0,357,491,466,378,434,383,692,0,0,0,398,122,24,236,473,15,632,0,507,644,0,694,0,57,525,449,689,0,0,0,333,12,599,0,183,108,410,0,0,0,393,497,653,728,0,0,0,0,0,18,594,533,0,0,207,571,573,146,371,547,516,77,488,326,326,488,325,27,279,531,0,0,0,489,0,63,585,542,0,0,486,407,602,266,260,443,359,722,587,0,27,495,389,235,140,0,327,221,719,617,0,312,260,520,492,509,0,0,0,0,480,683,0,124,575,719,0,0,0,0,312,20,369,0,0,0,123,20,15,303,398,62,554,693,0,168,644,691,590,206,527,410,407,0,0,0,532,0,88,500,641,461,0,0,0,368,713,659,0,708,0,538,0,219,350,194,595,216,452,650,302,581,707,0,0,0,0,0,597,0,0,204,707,476,0,0,0,687,0,318,635,593,0,12,468,401,596,533,0,309,568,81,393,35,626,248,581,461,0,0,0,552,0,45,525,443,677,0,0,0,0,80,597,0,0,0,146,645,0,0,93,710,200,319,0,357,0,0,0,723,0,126,128,496,0,0,21,729,0,0,0,732,731,0,611,590,0,222,137,632,203,209,717,0,580,0,0,0,603,0,0,72,500,530,134,554,674,317,614,0,0,0,0,255,74,567,587,0,0,423,614,0,0,0,86,549,656,0,641,195,230,306,611,410,671,0,0,0,340,0,0,42,176,50,0,504,611,0,0,231,81,611,0,414,491,662,0,0,0,0,0,0,122,729,0,273,92,350,122,252,625,110,0,627,0,0,54,368,543,599,0,0,387,554,0,0,0,0,508,0,280,704,0,0,504,731,0,294,62,548,143,644,293,209,554,208,62,0,213,446,330,731,0,3,375,380,689,377,620,0,0,0,0,0,292,0,0,0,351,425,26,612,689,0,498,641,0,0,573,0,0,102,728,227,377,57,494,310,694,0,0,135,121,0,324,416,341,578,659,404,361,68,0,84,588,593,0,688,0,117,657,704,0,218,272,218,627,0,0,0,561,0,306,448,36,300,674,298,424,539,671,0,0,0,0,0,0,0,474,659,0,0,615,0,622,0,0,147,237,584,0,0,0,0,183,477,0,0,0,603,0,0,117,144,422,0,0,0,567,0,0,0,518,242,296,254,137,462,431,590,536,422,0,0,0,0,2,366,682,446,579,0,84,672,683,0,32,225,139,0,579,0,0,0,110,528,617,0,0,501,0,0,0,327,454,291,68,495,473,707,0,0,0,273,685,669,0,0,75,578,598,63,327,191,332,86,135,134,110,0,122,432,455,608,209,653,530,0,0,258,170,637,153,711,0,160,643,268,599,0,0,0,0,201,191,80,382,0,0,0,86,486,551,0,0,0,273,541,261,111,500,80,554,664,500,713,641,0,534,689,0,108,284,351,101,230,640,357,149,4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[2208,4],"start_interval_values":[1,1,2],"circle_positions":734,"cycle_length":744,"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":[0,736,1472],"clock_positions":[2208,736,1472],"native_values":[734,367,367],"rotation_degrees":0.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[734,367,367],"beta":{"interval_sums":[275250,274516,259102],"interval_residues":[0,0,0],"display_cycle":[734,734,734],"intervals":[{"from_index":0,"to_index":736,"sum":275250,"residue":0},{"from_index":736,"to_index":1472,"sum":274516,"residue":0},{"from_index":1472,"to_index":0,"sum":259102,"residue":0}],"minimal_cycle":[0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":734,"start_interval_clock_positions":[2208,736],"circle_positions":734,"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":[1,737,1473],"clock_positions":[1,737,1473],"native_values":[1,1,368],"rotation_degrees":0.16304347826086957,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,1,368],"beta":{"interval_sums":[275616,274882,258734],"interval_residues":[366,366,366],"display_cycle":[366,366,366],"intervals":[{"from_index":1,"to_index":737,"sum":275616,"residue":366},{"from_index":737,"to_index":1473,"sum":274882,"residue":366},{"from_index":1473,"to_index":1,"sum":258734,"residue":366}],"minimal_cycle":[366],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":366,"start_interval_clock_positions":[1,737],"circle_positions":734,"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":[2,738,1474],"clock_positions":[2,738,1474],"native_values":[1,368,1],"rotation_degrees":0.32608695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,368,1],"beta":{"interval_sums":[275616,274882,258734],"interval_residues":[366,366,366],"display_cycle":[366,366,366],"intervals":[{"from_index":2,"to_index":738,"sum":275616,"residue":366},{"from_index":738,"to_index":1474,"sum":274882,"residue":366},{"from_index":1474,"to_index":2,"sum":258734,"residue":366}],"minimal_cycle":[366],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":366,"start_interval_clock_positions":[2,738],"circle_positions":734,"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":[3,739,1475],"clock_positions":[3,739,1475],"native_values":[2,369,369],"rotation_degrees":0.4891304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,369,369],"beta":{"interval_sums":[275982,274514,258366],"interval_residues":[732,732,732],"display_cycle":[732,732,732],"intervals":[{"from_index":3,"to_index":739,"sum":275982,"residue":732},{"from_index":739,"to_index":1475,"sum":274514,"residue":732},{"from_index":1475,"to_index":3,"sum":258366,"residue":732}],"minimal_cycle":[732],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":732,"start_interval_clock_positions":[3,739],"circle_positions":734,"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":[4,740,1476],"clock_positions":[4,740,1476],"native_values":[3,3,370],"rotation_degrees":0.6521739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,3,370],"beta":{"interval_sums":[276348,274880,257998],"interval_residues":[364,364,364],"display_cycle":[364,364,364],"intervals":[{"from_index":4,"to_index":740,"sum":276348,"residue":364},{"from_index":740,"to_index":1476,"sum":274880,"residue":364},{"from_index":1476,"to_index":4,"sum":257998,"residue":364}],"minimal_cycle":[364],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":364,"start_interval_clock_positions":[4,740],"circle_positions":734,"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":[5,741,1477],"clock_positions":[5,741,1477],"native_values":[5,372,5],"rotation_degrees":0.8152173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,372,5],"beta":{"interval_sums":[276346,274878,257996],"interval_residues":[362,362,362],"display_cycle":[362,362,362],"intervals":[{"from_index":5,"to_index":741,"sum":276346,"residue":362},{"from_index":741,"to_index":1477,"sum":274878,"residue":362},{"from_index":1477,"to_index":5,"sum":257996,"residue":362}],"minimal_cycle":[362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[5,741],"circle_positions":734,"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":[6,742,1478],"clock_positions":[6,742,1478],"native_values":[8,375,375],"rotation_degrees":0.9782608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,375,375],"beta":{"interval_sums":[276710,274508,257626],"interval_residues":[726,726,726],"display_cycle":[726,726,726],"intervals":[{"from_index":6,"to_index":742,"sum":276710,"residue":726},{"from_index":742,"to_index":1478,"sum":274508,"residue":726},{"from_index":1478,"to_index":6,"sum":257626,"residue":726}],"minimal_cycle":[726],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":726,"start_interval_clock_positions":[6,742],"circle_positions":734,"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":[7,743,1479],"clock_positions":[7,743,1479],"native_values":[13,13,380],"rotation_degrees":1.141304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,13,380],"beta":{"interval_sums":[277072,274870,257254],"interval_residues":[354,354,354],"display_cycle":[354,354,354],"intervals":[{"from_index":7,"to_index":743,"sum":277072,"residue":354},{"from_index":743,"to_index":1479,"sum":274870,"residue":354},{"from_index":1479,"to_index":7,"sum":257254,"residue":354}],"minimal_cycle":[354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":354,"start_interval_clock_positions":[7,743],"circle_positions":734,"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":[8,744,1480],"clock_positions":[8,744,1480],"native_values":[21,388,21],"rotation_degrees":1.3043478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,388,21],"beta":{"interval_sums":[277064,274862,257246],"interval_residues":[346,346,346],"display_cycle":[346,346,346],"intervals":[{"from_index":8,"to_index":744,"sum":277064,"residue":346},{"from_index":744,"to_index":1480,"sum":274862,"residue":346},{"from_index":1480,"to_index":8,"sum":257246,"residue":346}],"minimal_cycle":[346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[8,744],"circle_positions":734,"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":[9,745,1481],"clock_positions":[9,745,1481],"native_values":[34,401,401],"rotation_degrees":1.4673913043478262,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,401,401],"beta":{"interval_sums":[277418,274482,256866],"interval_residues":[700,700,700],"display_cycle":[700,700,700],"intervals":[{"from_index":9,"to_index":745,"sum":277418,"residue":700},{"from_index":745,"to_index":1481,"sum":274482,"residue":700},{"from_index":1481,"to_index":9,"sum":256866,"residue":700}],"minimal_cycle":[700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[9,745],"circle_positions":734,"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":[10,746,1482],"clock_positions":[10,746,1482],"native_values":[55,55,422],"rotation_degrees":1.6304347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,55,422],"beta":{"interval_sums":[277764,274828,256478],"interval_residues":[312,312,312],"display_cycle":[312,312,312],"intervals":[{"from_index":10,"to_index":746,"sum":277764,"residue":312},{"from_index":746,"to_index":1482,"sum":274828,"residue":312},{"from_index":1482,"to_index":10,"sum":256478,"residue":312}],"minimal_cycle":[312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[10,746],"circle_positions":734,"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":[11,747,1483],"clock_positions":[11,747,1483],"native_values":[89,456,89],"rotation_degrees":1.7934782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,456,89],"beta":{"interval_sums":[277730,274794,256444],"interval_residues":[278,278,278],"display_cycle":[278,278,278],"intervals":[{"from_index":11,"to_index":747,"sum":277730,"residue":278},{"from_index":747,"to_index":1483,"sum":274794,"residue":278},{"from_index":1483,"to_index":11,"sum":256444,"residue":278}],"minimal_cycle":[278],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":278,"start_interval_clock_positions":[11,747],"circle_positions":734,"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":[12,748,1484],"clock_positions":[12,748,1484],"native_values":[144,511,511],"rotation_degrees":1.9565217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,511,511],"beta":{"interval_sums":[278042,274372,256022],"interval_residues":[590,590,590],"display_cycle":[590,590,590],"intervals":[{"from_index":12,"to_index":748,"sum":278042,"residue":590},{"from_index":748,"to_index":1484,"sum":274372,"residue":590},{"from_index":1484,"to_index":12,"sum":256022,"residue":590}],"minimal_cycle":[590],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":590,"start_interval_clock_positions":[12,748],"circle_positions":734,"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":[13,749,1485],"clock_positions":[13,749,1485],"native_values":[233,233,600],"rotation_degrees":2.119565217391304,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,233,600],"beta":{"interval_sums":[278320,274650,255566],"interval_residues":[134,134,134],"display_cycle":[134,134,134],"intervals":[{"from_index":13,"to_index":749,"sum":278320,"residue":134},{"from_index":749,"to_index":1485,"sum":274650,"residue":134},{"from_index":1485,"to_index":13,"sum":255566,"residue":134}],"minimal_cycle":[134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[13,749],"circle_positions":734,"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":[14,750,1486],"clock_positions":[14,750,1486],"native_values":[377,10,377],"rotation_degrees":2.282608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,10,377],"beta":{"interval_sums":[278176,275240,255422],"interval_residues":[724,724,724],"display_cycle":[724,724,724],"intervals":[{"from_index":14,"to_index":750,"sum":278176,"residue":724},{"from_index":750,"to_index":1486,"sum":275240,"residue":724},{"from_index":1486,"to_index":14,"sum":255422,"residue":724}],"minimal_cycle":[724],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":724,"start_interval_clock_positions":[14,750],"circle_positions":734,"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":[15,751,1487],"clock_positions":[15,751,1487],"native_values":[610,243,243],"rotation_degrees":2.4456521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,243,243],"beta":{"interval_sums":[277576,275374,255556],"interval_residues":[124,124,124],"display_cycle":[124,124,124],"intervals":[{"from_index":15,"to_index":751,"sum":277576,"residue":124},{"from_index":751,"to_index":1487,"sum":275374,"residue":124},{"from_index":1487,"to_index":15,"sum":255556,"residue":124}],"minimal_cycle":[124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[15,751],"circle_positions":734,"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":[16,752,1488],"clock_positions":[16,752,1488],"native_values":[253,253,620],"rotation_degrees":2.608695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[253,253,620],"beta":{"interval_sums":[277566,275364,255546],"interval_residues":[114,114,114],"display_cycle":[114,114,114],"intervals":[{"from_index":16,"to_index":752,"sum":277566,"residue":114},{"from_index":752,"to_index":1488,"sum":275364,"residue":114},{"from_index":1488,"to_index":16,"sum":255546,"residue":114}],"minimal_cycle":[114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[16,752],"circle_positions":734,"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":[17,753,1489],"clock_positions":[17,753,1489],"native_values":[129,496,129],"rotation_degrees":2.7717391304347827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[129,496,129],"beta":{"interval_sums":[277690,275488,255670],"interval_residues":[238,238,238],"display_cycle":[238,238,238],"intervals":[{"from_index":17,"to_index":753,"sum":277690,"residue":238},{"from_index":753,"to_index":1489,"sum":275488,"residue":238},{"from_index":1489,"to_index":17,"sum":255670,"residue":238}],"minimal_cycle":[238],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":238,"start_interval_clock_positions":[17,753],"circle_positions":734,"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":[18,754,1490],"clock_positions":[18,754,1490],"native_values":[382,15,15],"rotation_degrees":2.9347826086956523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[382,15,15],"beta":{"interval_sums":[277804,275602,255784],"interval_residues":[352,352,352],"display_cycle":[352,352,352],"intervals":[{"from_index":18,"to_index":754,"sum":277804,"residue":352},{"from_index":754,"to_index":1490,"sum":275602,"residue":352},{"from_index":1490,"to_index":18,"sum":255784,"residue":352}],"minimal_cycle":[352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[18,754],"circle_positions":734,"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":[19,755,1491],"clock_positions":[19,755,1491],"native_values":[511,511,144],"rotation_degrees":3.097826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[511,511,144],"beta":{"interval_sums":[277308,275106,256022],"interval_residues":[590,590,590],"display_cycle":[590,590,590],"intervals":[{"from_index":19,"to_index":755,"sum":277308,"residue":590},{"from_index":755,"to_index":1491,"sum":275106,"residue":590},{"from_index":1491,"to_index":19,"sum":256022,"residue":590}],"minimal_cycle":[590],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":590,"start_interval_clock_positions":[19,755],"circle_positions":734,"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":[20,756,1492],"clock_positions":[20,756,1492],"native_values":[159,526,159],"rotation_degrees":3.260869565217391,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[159,526,159],"beta":{"interval_sums":[277660,274724,256374],"interval_residues":[208,208,208],"display_cycle":[208,208,208],"intervals":[{"from_index":20,"to_index":756,"sum":277660,"residue":208},{"from_index":756,"to_index":1492,"sum":274724,"residue":208},{"from_index":1492,"to_index":20,"sum":256374,"residue":208}],"minimal_cycle":[208],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[20,756],"circle_positions":734,"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":[21,757,1493],"clock_positions":[21,757,1493],"native_values":[670,303,303],"rotation_degrees":3.4239130434782608,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[670,303,303],"beta":{"interval_sums":[277516,274580,256230],"interval_residues":[64,64,64],"display_cycle":[64,64,64],"intervals":[{"from_index":21,"to_index":757,"sum":277516,"residue":64},{"from_index":757,"to_index":1493,"sum":274580,"residue":64},{"from_index":1493,"to_index":21,"sum":256230,"residue":64}],"minimal_cycle":[64],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":64,"start_interval_clock_positions":[21,757],"circle_positions":734,"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":[22,758,1494],"clock_positions":[22,758,1494],"native_values":[95,95,462],"rotation_degrees":3.5869565217391304,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,95,462],"beta":{"interval_sums":[277724,274788,256438],"interval_residues":[272,272,272],"display_cycle":[272,272,272],"intervals":[{"from_index":22,"to_index":758,"sum":277724,"residue":272},{"from_index":758,"to_index":1494,"sum":274788,"residue":272},{"from_index":1494,"to_index":22,"sum":256438,"residue":272}],"minimal_cycle":[272],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":272,"start_interval_clock_positions":[22,758],"circle_positions":734,"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":[23,759,1495],"clock_positions":[23,759,1495],"native_values":[31,398,31],"rotation_degrees":3.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,398,31],"beta":{"interval_sums":[277788,274852,256502],"interval_residues":[336,336,336],"display_cycle":[336,336,336],"intervals":[{"from_index":23,"to_index":759,"sum":277788,"residue":336},{"from_index":759,"to_index":1495,"sum":274852,"residue":336},{"from_index":1495,"to_index":23,"sum":256502,"residue":336}],"minimal_cycle":[336],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[23,759],"circle_positions":734,"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":[24,760,1496],"clock_positions":[24,760,1496],"native_values":[126,493,493],"rotation_degrees":3.9130434782608696,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[126,493,493],"beta":{"interval_sums":[278060,274390,256040],"interval_residues":[608,608,608],"display_cycle":[608,608,608],"intervals":[{"from_index":24,"to_index":760,"sum":278060,"residue":608},{"from_index":760,"to_index":1496,"sum":274390,"residue":608},{"from_index":1496,"to_index":24,"sum":256040,"residue":608}],"minimal_cycle":[608],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":608,"start_interval_clock_positions":[24,760],"circle_positions":734,"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":[25,761,1497],"clock_positions":[25,761,1497],"native_values":[157,157,524],"rotation_degrees":4.076086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,157,524],"beta":{"interval_sums":[278396,274726,255642],"interval_residues":[210,210,210],"display_cycle":[210,210,210],"intervals":[{"from_index":25,"to_index":761,"sum":278396,"residue":210},{"from_index":761,"to_index":1497,"sum":274726,"residue":210},{"from_index":1497,"to_index":25,"sum":255642,"residue":210}],"minimal_cycle":[210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[25,761],"circle_positions":734,"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":[26,762,1498],"clock_positions":[26,762,1498],"native_values":[283,650,283],"rotation_degrees":4.239130434782608,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,650,283],"beta":{"interval_sums":[278270,274600,255516],"interval_residues":[84,84,84],"display_cycle":[84,84,84],"intervals":[{"from_index":26,"to_index":762,"sum":278270,"residue":84},{"from_index":762,"to_index":1498,"sum":274600,"residue":84},{"from_index":1498,"to_index":26,"sum":255516,"residue":84}],"minimal_cycle":[84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[26,762],"circle_positions":734,"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":[27,763,1499],"clock_positions":[27,763,1499],"native_values":[440,73,73],"rotation_degrees":4.4021739130434785,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[440,73,73],"beta":{"interval_sums":[278480,274810,255726],"interval_residues":[294,294,294],"display_cycle":[294,294,294],"intervals":[{"from_index":27,"to_index":763,"sum":278480,"residue":294},{"from_index":763,"to_index":1499,"sum":274810,"residue":294},{"from_index":1499,"to_index":27,"sum":255726,"residue":294}],"minimal_cycle":[294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[27,763],"circle_positions":734,"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":[28,764,1500],"clock_positions":[28,764,1500],"native_values":[723,723,356],"rotation_degrees":4.565217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[723,723,356],"beta":{"interval_sums":[277830,274160,255810],"interval_residues":[378,378,378],"display_cycle":[378,378,378],"intervals":[{"from_index":28,"to_index":764,"sum":277830,"residue":378},{"from_index":764,"to_index":1500,"sum":274160,"residue":378},{"from_index":1500,"to_index":28,"sum":255810,"residue":378}],"minimal_cycle":[378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[28,764],"circle_positions":734,"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":[29,765,1501],"clock_positions":[29,765,1501],"native_values":[429,62,429],"rotation_degrees":4.728260869565218,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,62,429],"beta":{"interval_sums":[278124,274454,256104],"interval_residues":[672,672,672],"display_cycle":[672,672,672],"intervals":[{"from_index":29,"to_index":765,"sum":278124,"residue":672},{"from_index":765,"to_index":1501,"sum":274454,"residue":672},{"from_index":1501,"to_index":29,"sum":256104,"residue":672}],"minimal_cycle":[672],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":672,"start_interval_clock_positions":[29,765],"circle_positions":734,"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":[30,766,1502],"clock_positions":[30,766,1502],"native_values":[418,51,51],"rotation_degrees":4.891304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[418,51,51],"beta":{"interval_sums":[277768,274832,256482],"interval_residues":[316,316,316],"display_cycle":[316,316,316],"intervals":[{"from_index":30,"to_index":766,"sum":277768,"residue":316},{"from_index":766,"to_index":1502,"sum":274832,"residue":316},{"from_index":1502,"to_index":30,"sum":256482,"residue":316}],"minimal_cycle":[316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":316,"start_interval_clock_positions":[30,766],"circle_positions":734,"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":[31,767,1503],"clock_positions":[31,767,1503],"native_values":[113,113,480],"rotation_degrees":5.054347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[113,113,480],"beta":{"interval_sums":[277706,274770,256420],"interval_residues":[254,254,254],"display_cycle":[254,254,254],"intervals":[{"from_index":31,"to_index":767,"sum":277706,"residue":254},{"from_index":767,"to_index":1503,"sum":274770,"residue":254},{"from_index":1503,"to_index":31,"sum":256420,"residue":254}],"minimal_cycle":[254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":254,"start_interval_clock_positions":[31,767],"circle_positions":734,"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":[32,768,1504],"clock_positions":[32,768,1504],"native_values":[531,164,531],"rotation_degrees":5.217391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[531,164,531],"beta":{"interval_sums":[277288,275086,256002],"interval_residues":[570,570,570],"display_cycle":[570,570,570],"intervals":[{"from_index":32,"to_index":768,"sum":277288,"residue":570},{"from_index":768,"to_index":1504,"sum":275086,"residue":570},{"from_index":1504,"to_index":32,"sum":256002,"residue":570}],"minimal_cycle":[570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[32,768],"circle_positions":734,"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":[33,769,1505],"clock_positions":[33,769,1505],"native_values":[644,277,277],"rotation_degrees":5.380434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[644,277,277],"beta":{"interval_sums":[276808,275340,256256],"interval_residues":[90,90,90],"display_cycle":[90,90,90],"intervals":[{"from_index":33,"to_index":769,"sum":276808,"residue":90},{"from_index":769,"to_index":1505,"sum":275340,"residue":90},{"from_index":1505,"to_index":33,"sum":256256,"residue":90}],"minimal_cycle":[90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[33,769],"circle_positions":734,"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":[34,770,1506],"clock_positions":[34,770,1506],"native_values":[441,441,74],"rotation_degrees":5.543478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,441,74],"beta":{"interval_sums":[276644,275176,256826],"interval_residues":[660,660,660],"display_cycle":[660,660,660],"intervals":[{"from_index":34,"to_index":770,"sum":276644,"residue":660},{"from_index":770,"to_index":1506,"sum":275176,"residue":660},{"from_index":1506,"to_index":34,"sum":256826,"residue":660}],"minimal_cycle":[660],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":660,"start_interval_clock_positions":[34,770],"circle_positions":734,"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":[35,771,1507],"clock_positions":[35,771,1507],"native_values":[351,718,351],"rotation_degrees":5.706521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,718,351],"beta":{"interval_sums":[276734,274532,256916],"interval_residues":[16,16,16],"display_cycle":[16,16,16],"intervals":[{"from_index":35,"to_index":771,"sum":276734,"residue":16},{"from_index":771,"to_index":1507,"sum":274532,"residue":16},{"from_index":1507,"to_index":35,"sum":256916,"residue":16}],"minimal_cycle":[16],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[35,771],"circle_positions":734,"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":[36,772,1508],"clock_positions":[36,772,1508],"native_values":[58,425,425],"rotation_degrees":5.869565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[58,425,425],"beta":{"interval_sums":[277394,274458,256842],"interval_residues":[676,676,676],"display_cycle":[676,676,676],"intervals":[{"from_index":36,"to_index":772,"sum":277394,"residue":676},{"from_index":772,"to_index":1508,"sum":274458,"residue":676},{"from_index":1508,"to_index":36,"sum":256842,"residue":676}],"minimal_cycle":[676],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":676,"start_interval_clock_positions":[36,772],"circle_positions":734,"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":[37,773,1509],"clock_positions":[37,773,1509],"native_values":[409,409,42],"rotation_degrees":6.032608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,409,42],"beta":{"interval_sums":[277410,274474,256858],"interval_residues":[692,692,692],"display_cycle":[692,692,692],"intervals":[{"from_index":37,"to_index":773,"sum":277410,"residue":692},{"from_index":773,"to_index":1509,"sum":274474,"residue":692},{"from_index":1509,"to_index":37,"sum":256858,"residue":692}],"minimal_cycle":[692],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":692,"start_interval_clock_positions":[37,773],"circle_positions":734,"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":[38,774,1510],"clock_positions":[38,774,1510],"native_values":[467,100,467],"rotation_degrees":6.195652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[467,100,467],"beta":{"interval_sums":[277352,274416,256800],"interval_residues":[634,634,634],"display_cycle":[634,634,634],"intervals":[{"from_index":38,"to_index":774,"sum":277352,"residue":634},{"from_index":774,"to_index":1510,"sum":274416,"residue":634},{"from_index":1510,"to_index":38,"sum":256800,"residue":634}],"minimal_cycle":[634],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":634,"start_interval_clock_positions":[38,774],"circle_positions":734,"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":[39,775,1511],"clock_positions":[39,775,1511],"native_values":[142,509,509],"rotation_degrees":6.358695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[142,509,509],"beta":{"interval_sums":[277310,274374,256758],"interval_residues":[592,592,592],"display_cycle":[592,592,592],"intervals":[{"from_index":39,"to_index":775,"sum":277310,"residue":592},{"from_index":775,"to_index":1511,"sum":274374,"residue":592},{"from_index":1511,"to_index":39,"sum":256758,"residue":592}],"minimal_cycle":[592],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":592,"start_interval_clock_positions":[39,775],"circle_positions":734,"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":[40,776,1512],"clock_positions":[40,776,1512],"native_values":[609,609,242],"rotation_degrees":6.521739130434782,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[609,609,242],"beta":{"interval_sums":[277210,274274,256658],"interval_residues":[492,492,492],"display_cycle":[492,492,492],"intervals":[{"from_index":40,"to_index":776,"sum":277210,"residue":492},{"from_index":776,"to_index":1512,"sum":274274,"residue":492},{"from_index":1512,"to_index":40,"sum":256658,"residue":492}],"minimal_cycle":[492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":492,"start_interval_clock_positions":[40,776],"circle_positions":734,"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":[41,777,1513],"clock_positions":[41,777,1513],"native_values":[17,384,17],"rotation_degrees":6.684782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,384,17],"beta":{"interval_sums":[277802,274132,257250],"interval_residues":[350,350,350],"display_cycle":[350,350,350],"intervals":[{"from_index":41,"to_index":777,"sum":277802,"residue":350},{"from_index":777,"to_index":1513,"sum":274132,"residue":350},{"from_index":1513,"to_index":41,"sum":257250,"residue":350}],"minimal_cycle":[350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[41,777],"circle_positions":734,"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":[42,778,1514],"clock_positions":[42,778,1514],"native_values":[626,259,259],"rotation_degrees":6.8478260869565215,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[626,259,259],"beta":{"interval_sums":[277560,273890,257008],"interval_residues":[108,108,108],"display_cycle":[108,108,108],"intervals":[{"from_index":42,"to_index":778,"sum":277560,"residue":108},{"from_index":778,"to_index":1514,"sum":273890,"residue":108},{"from_index":1514,"to_index":42,"sum":257008,"residue":108}],"minimal_cycle":[108],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":108,"start_interval_clock_positions":[42,778],"circle_positions":734,"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":[43,779,1515],"clock_positions":[43,779,1515],"native_values":[643,643,276],"rotation_degrees":7.010869565217392,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[643,643,276],"beta":{"interval_sums":[277176,273506,257358],"interval_residues":[458,458,458],"display_cycle":[458,458,458],"intervals":[{"from_index":43,"to_index":779,"sum":277176,"residue":458},{"from_index":779,"to_index":1515,"sum":273506,"residue":458},{"from_index":1515,"to_index":43,"sum":257358,"residue":458}],"minimal_cycle":[458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":458,"start_interval_clock_positions":[43,779],"circle_positions":734,"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":[44,780,1516],"clock_positions":[44,780,1516],"native_values":[535,168,535],"rotation_degrees":7.173913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[535,168,535],"beta":{"interval_sums":[277284,273614,257466],"interval_residues":[566,566,566],"display_cycle":[566,566,566],"intervals":[{"from_index":44,"to_index":780,"sum":277284,"residue":566},{"from_index":780,"to_index":1516,"sum":273614,"residue":566},{"from_index":1516,"to_index":44,"sum":257466,"residue":566}],"minimal_cycle":[566],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":566,"start_interval_clock_positions":[44,780],"circle_positions":734,"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":[45,781,1517],"clock_positions":[45,781,1517],"native_values":[444,77,77],"rotation_degrees":7.336956521739131,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[444,77,77],"beta":{"interval_sums":[277008,274072,257924],"interval_residues":[290,290,290],"display_cycle":[290,290,290],"intervals":[{"from_index":45,"to_index":781,"sum":277008,"residue":290},{"from_index":781,"to_index":1517,"sum":274072,"residue":290},{"from_index":1517,"to_index":45,"sum":257924,"residue":290}],"minimal_cycle":[290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[45,781],"circle_positions":734,"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":[46,782,1518],"clock_positions":[46,782,1518],"native_values":[245,245,612],"rotation_degrees":7.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[245,245,612],"beta":{"interval_sums":[276840,273904,257756],"interval_residues":[122,122,122],"display_cycle":[122,122,122],"intervals":[{"from_index":46,"to_index":782,"sum":276840,"residue":122},{"from_index":782,"to_index":1518,"sum":273904,"residue":122},{"from_index":1518,"to_index":46,"sum":257756,"residue":122}],"minimal_cycle":[122],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[46,782],"circle_positions":734,"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":[47,783,1519],"clock_positions":[47,783,1519],"native_values":[689,322,689],"rotation_degrees":7.663043478260869,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[689,322,689],"beta":{"interval_sums":[276396,274194,257312],"interval_residues":[412,412,412],"display_cycle":[412,412,412],"intervals":[{"from_index":47,"to_index":783,"sum":276396,"residue":412},{"from_index":783,"to_index":1519,"sum":274194,"residue":412},{"from_index":1519,"to_index":47,"sum":257312,"residue":412}],"minimal_cycle":[412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[47,783],"circle_positions":734,"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":[48,784,1520],"clock_positions":[48,784,1520],"native_values":[200,567,567],"rotation_degrees":7.826086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,567,567],"beta":{"interval_sums":[276518,274316,257434],"interval_residues":[534,534,534],"display_cycle":[534,534,534],"intervals":[{"from_index":48,"to_index":784,"sum":276518,"residue":534},{"from_index":784,"to_index":1520,"sum":274316,"residue":534},{"from_index":1520,"to_index":48,"sum":257434,"residue":534}],"minimal_cycle":[534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[48,784],"circle_positions":734,"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":[49,785,1521],"clock_positions":[49,785,1521],"native_values":[155,155,522],"rotation_degrees":7.989130434782608,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,155,522],"beta":{"interval_sums":[276930,274728,257112],"interval_residues":[212,212,212],"display_cycle":[212,212,212],"intervals":[{"from_index":49,"to_index":785,"sum":276930,"residue":212},{"from_index":785,"to_index":1521,"sum":274728,"residue":212},{"from_index":1521,"to_index":49,"sum":257112,"residue":212}],"minimal_cycle":[212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":212,"start_interval_clock_positions":[49,785],"circle_positions":734,"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":[50,786,1522],"clock_positions":[50,786,1522],"native_values":[355,722,355],"rotation_degrees":8.152173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,722,355],"beta":{"interval_sums":[276730,274528,256912],"interval_residues":[12,12,12],"display_cycle":[12,12,12],"intervals":[{"from_index":50,"to_index":786,"sum":276730,"residue":12},{"from_index":786,"to_index":1522,"sum":274528,"residue":12},{"from_index":1522,"to_index":50,"sum":256912,"residue":12}],"minimal_cycle":[12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":12,"start_interval_clock_positions":[50,786],"circle_positions":734,"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":[51,787,1523],"clock_positions":[51,787,1523],"native_values":[510,143,143],"rotation_degrees":8.315217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[510,143,143],"beta":{"interval_sums":[276942,274740,257124],"interval_residues":[224,224,224],"display_cycle":[224,224,224],"intervals":[{"from_index":51,"to_index":787,"sum":276942,"residue":224},{"from_index":787,"to_index":1523,"sum":274740,"residue":224},{"from_index":1523,"to_index":51,"sum":257124,"residue":224}],"minimal_cycle":[224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[51,787],"circle_positions":734,"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":[52,788,1524],"clock_positions":[52,788,1524],"native_values":[131,131,498],"rotation_degrees":8.478260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,131,498],"beta":{"interval_sums":[276954,274752,257136],"interval_residues":[236,236,236],"display_cycle":[236,236,236],"intervals":[{"from_index":52,"to_index":788,"sum":276954,"residue":236},{"from_index":788,"to_index":1524,"sum":274752,"residue":236},{"from_index":1524,"to_index":52,"sum":257136,"residue":236}],"minimal_cycle":[236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[52,788],"circle_positions":734,"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":[53,789,1525],"clock_positions":[53,789,1525],"native_values":[641,274,641],"rotation_degrees":8.641304347826088,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,274,641],"beta":{"interval_sums":[276444,274976,256626],"interval_residues":[460,460,460],"display_cycle":[460,460,460],"intervals":[{"from_index":53,"to_index":789,"sum":276444,"residue":460},{"from_index":789,"to_index":1525,"sum":274976,"residue":460},{"from_index":1525,"to_index":53,"sum":256626,"residue":460}],"minimal_cycle":[460],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":460,"start_interval_clock_positions":[53,789],"circle_positions":734,"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":[54,790,1526],"clock_positions":[54,790,1526],"native_values":[38,405,405],"rotation_degrees":8.804347826086957,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[38,405,405],"beta":{"interval_sums":[276680,275212,256862],"interval_residues":[696,696,696],"display_cycle":[696,696,696],"intervals":[{"from_index":54,"to_index":790,"sum":276680,"residue":696},{"from_index":790,"to_index":1526,"sum":275212,"residue":696},{"from_index":1526,"to_index":54,"sum":256862,"residue":696}],"minimal_cycle":[696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":696,"start_interval_clock_positions":[54,790],"circle_positions":734,"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":[55,791,1527],"clock_positions":[55,791,1527],"native_values":[679,679,312],"rotation_degrees":8.967391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[679,679,312],"beta":{"interval_sums":[276406,274938,256588],"interval_residues":[422,422,422],"display_cycle":[422,422,422],"intervals":[{"from_index":55,"to_index":791,"sum":276406,"residue":422},{"from_index":791,"to_index":1527,"sum":274938,"residue":422},{"from_index":1527,"to_index":55,"sum":256588,"residue":422}],"minimal_cycle":[422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":422,"start_interval_clock_positions":[55,791],"circle_positions":734,"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":[56,792,1528],"clock_positions":[56,792,1528],"native_values":[717,350,717],"rotation_degrees":9.130434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[717,350,717],"beta":{"interval_sums":[276368,274900,256550],"interval_residues":[384,384,384],"display_cycle":[384,384,384],"intervals":[{"from_index":56,"to_index":792,"sum":276368,"residue":384},{"from_index":792,"to_index":1528,"sum":274900,"residue":384},{"from_index":1528,"to_index":56,"sum":256550,"residue":384}],"minimal_cycle":[384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[56,792],"circle_positions":734,"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":[57,793,1529],"clock_positions":[57,793,1529],"native_values":[662,295,295],"rotation_degrees":9.293478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[662,295,295],"beta":{"interval_sums":[276056,275322,256972],"interval_residues":[72,72,72],"display_cycle":[72,72,72],"intervals":[{"from_index":57,"to_index":793,"sum":276056,"residue":72},{"from_index":793,"to_index":1529,"sum":275322,"residue":72},{"from_index":1529,"to_index":57,"sum":256972,"residue":72}],"minimal_cycle":[72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[57,793],"circle_positions":734,"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":[58,794,1530],"clock_positions":[58,794,1530],"native_values":[645,645,278],"rotation_degrees":9.456521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[645,645,278],"beta":{"interval_sums":[275706,274972,257356],"interval_residues":[456,456,456],"display_cycle":[456,456,456],"intervals":[{"from_index":58,"to_index":794,"sum":275706,"residue":456},{"from_index":794,"to_index":1530,"sum":274972,"residue":456},{"from_index":1530,"to_index":58,"sum":257356,"residue":456}],"minimal_cycle":[456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[58,794],"circle_positions":734,"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":[59,795,1531],"clock_positions":[59,795,1531],"native_values":[573,206,573],"rotation_degrees":9.619565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,206,573],"beta":{"interval_sums":[275778,275044,257428],"interval_residues":[528,528,528],"display_cycle":[528,528,528],"intervals":[{"from_index":59,"to_index":795,"sum":275778,"residue":528},{"from_index":795,"to_index":1531,"sum":275044,"residue":528},{"from_index":1531,"to_index":59,"sum":257428,"residue":528}],"minimal_cycle":[528],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":528,"start_interval_clock_positions":[59,795],"circle_positions":734,"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":[60,796,1532],"clock_positions":[60,796,1532],"native_values":[484,117,117],"rotation_degrees":9.782608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[484,117,117],"beta":{"interval_sums":[275500,275500,257884],"interval_residues":[250,250,250],"display_cycle":[250,250,250],"intervals":[{"from_index":60,"to_index":796,"sum":275500,"residue":250},{"from_index":796,"to_index":1532,"sum":275500,"residue":250},{"from_index":1532,"to_index":60,"sum":257884,"residue":250}],"minimal_cycle":[250],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":250,"start_interval_clock_positions":[60,796],"circle_positions":734,"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":[61,797,1533],"clock_positions":[61,797,1533],"native_values":[323,323,690],"rotation_degrees":9.945652173913043,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,323,690],"beta":{"interval_sums":[275294,275294,257678],"interval_residues":[44,44,44],"display_cycle":[44,44,44],"intervals":[{"from_index":61,"to_index":797,"sum":275294,"residue":44},{"from_index":797,"to_index":1533,"sum":275294,"residue":44},{"from_index":1533,"to_index":61,"sum":257678,"residue":44}],"minimal_cycle":[44],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":44,"start_interval_clock_positions":[61,797],"circle_positions":734,"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":[62,798,1534],"clock_positions":[62,798,1534],"native_values":[73,440,73],"rotation_degrees":10.108695652173912,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,440,73],"beta":{"interval_sums":[275544,275544,257928],"interval_residues":[294,294,294],"display_cycle":[294,294,294],"intervals":[{"from_index":62,"to_index":798,"sum":275544,"residue":294},{"from_index":798,"to_index":1534,"sum":275544,"residue":294},{"from_index":1534,"to_index":62,"sum":257928,"residue":294}],"minimal_cycle":[294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[62,798],"circle_positions":734,"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":[63,799,1535],"clock_positions":[63,799,1535],"native_values":[396,29,29],"rotation_degrees":10.271739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[396,29,29],"beta":{"interval_sums":[275588,275588,257972],"interval_residues":[338,338,338],"display_cycle":[338,338,338],"intervals":[{"from_index":63,"to_index":799,"sum":275588,"residue":338},{"from_index":799,"to_index":1535,"sum":275588,"residue":338},{"from_index":1535,"to_index":63,"sum":257972,"residue":338}],"minimal_cycle":[338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[63,799],"circle_positions":734,"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":[64,800,1536],"clock_positions":[64,800,1536],"native_values":[469,469,102],"rotation_degrees":10.434782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,469,102],"beta":{"interval_sums":[275148,275148,258266],"interval_residues":[632,632,632],"display_cycle":[632,632,632],"intervals":[{"from_index":64,"to_index":800,"sum":275148,"residue":632},{"from_index":800,"to_index":1536,"sum":275148,"residue":632},{"from_index":1536,"to_index":64,"sum":258266,"residue":632}],"minimal_cycle":[632],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":632,"start_interval_clock_positions":[64,800],"circle_positions":734,"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":[65,801,1537],"clock_positions":[65,801,1537],"native_values":[131,498,131],"rotation_degrees":10.597826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,498,131],"beta":{"interval_sums":[275486,274752,258604],"interval_residues":[236,236,236],"display_cycle":[236,236,236],"intervals":[{"from_index":65,"to_index":801,"sum":275486,"residue":236},{"from_index":801,"to_index":1537,"sum":274752,"residue":236},{"from_index":1537,"to_index":65,"sum":258604,"residue":236}],"minimal_cycle":[236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[65,801],"circle_positions":734,"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":[66,802,1538],"clock_positions":[66,802,1538],"native_values":[600,233,233],"rotation_degrees":10.76086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[600,233,233],"beta":{"interval_sums":[275384,274650,258502],"interval_residues":[134,134,134],"display_cycle":[134,134,134],"intervals":[{"from_index":66,"to_index":802,"sum":275384,"residue":134},{"from_index":802,"to_index":1538,"sum":274650,"residue":134},{"from_index":1538,"to_index":66,"sum":258502,"residue":134}],"minimal_cycle":[134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[66,802],"circle_positions":734,"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":[67,803,1539],"clock_positions":[67,803,1539],"native_values":[731,731,364],"rotation_degrees":10.923913043478262,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[731,731,364],"beta":{"interval_sums":[274886,274152,258738],"interval_residues":[370,370,370],"display_cycle":[370,370,370],"intervals":[{"from_index":67,"to_index":803,"sum":274886,"residue":370},{"from_index":803,"to_index":1539,"sum":274152,"residue":370},{"from_index":1539,"to_index":67,"sum":258738,"residue":370}],"minimal_cycle":[370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[67,803],"circle_positions":734,"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":[68,804,1540],"clock_positions":[68,804,1540],"native_values":[597,230,597],"rotation_degrees":11.08695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,230,597],"beta":{"interval_sums":[275020,274286,258872],"interval_residues":[504,504,504],"display_cycle":[504,504,504],"intervals":[{"from_index":68,"to_index":804,"sum":275020,"residue":504},{"from_index":804,"to_index":1540,"sum":274286,"residue":504},{"from_index":1540,"to_index":68,"sum":258872,"residue":504}],"minimal_cycle":[504],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":504,"start_interval_clock_positions":[68,804],"circle_positions":734,"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":[69,805,1541],"clock_positions":[69,805,1541],"native_values":[594,227,227],"rotation_degrees":11.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[594,227,227],"beta":{"interval_sums":[274656,274656,259242],"interval_residues":[140,140,140],"display_cycle":[140,140,140],"intervals":[{"from_index":69,"to_index":805,"sum":274656,"residue":140},{"from_index":805,"to_index":1541,"sum":274656,"residue":140},{"from_index":1541,"to_index":69,"sum":259242,"residue":140}],"minimal_cycle":[140],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":140,"start_interval_clock_positions":[69,805],"circle_positions":734,"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":[70,806,1542],"clock_positions":[70,806,1542],"native_values":[457,457,90],"rotation_degrees":11.41304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,457,90],"beta":{"interval_sums":[274426,274426,259746],"interval_residues":[644,644,644],"display_cycle":[644,644,644],"intervals":[{"from_index":70,"to_index":806,"sum":274426,"residue":644},{"from_index":806,"to_index":1542,"sum":274426,"residue":644},{"from_index":1542,"to_index":70,"sum":259746,"residue":644}],"minimal_cycle":[644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[70,806],"circle_positions":734,"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":[71,807,1543],"clock_positions":[71,807,1543],"native_values":[317,684,317],"rotation_degrees":11.576086956521738,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,684,317],"beta":{"interval_sums":[274566,273832,259886],"interval_residues":[50,50,50],"display_cycle":[50,50,50],"intervals":[{"from_index":71,"to_index":807,"sum":274566,"residue":50},{"from_index":807,"to_index":1543,"sum":273832,"residue":50},{"from_index":1543,"to_index":71,"sum":259886,"residue":50}],"minimal_cycle":[50],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[71,807],"circle_positions":734,"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":[72,808,1544],"clock_positions":[72,808,1544],"native_values":[40,407,407],"rotation_degrees":11.73913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[40,407,407],"beta":{"interval_sums":[275210,273742,259796],"interval_residues":[694,694,694],"display_cycle":[694,694,694],"intervals":[{"from_index":72,"to_index":808,"sum":275210,"residue":694},{"from_index":808,"to_index":1544,"sum":273742,"residue":694},{"from_index":1544,"to_index":72,"sum":259796,"residue":694}],"minimal_cycle":[694],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":694,"start_interval_clock_positions":[72,808],"circle_positions":734,"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":[73,809,1545],"clock_positions":[73,809,1545],"native_values":[357,357,724],"rotation_degrees":11.902173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,357,724],"beta":{"interval_sums":[275260,273792,259112],"interval_residues":[10,10,10],"display_cycle":[10,10,10],"intervals":[{"from_index":73,"to_index":809,"sum":275260,"residue":10},{"from_index":809,"to_index":1545,"sum":273792,"residue":10},{"from_index":1545,"to_index":73,"sum":259112,"residue":10}],"minimal_cycle":[10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":10,"start_interval_clock_positions":[73,809],"circle_positions":734,"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":[74,810,1546],"clock_positions":[74,810,1546],"native_values":[397,30,397],"rotation_degrees":12.065217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,30,397],"beta":{"interval_sums":[275220,274486,259072],"interval_residues":[704,704,704],"display_cycle":[704,704,704],"intervals":[{"from_index":74,"to_index":810,"sum":275220,"residue":704},{"from_index":810,"to_index":1546,"sum":274486,"residue":704},{"from_index":1546,"to_index":74,"sum":259072,"residue":704}],"minimal_cycle":[704],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":704,"start_interval_clock_positions":[74,810],"circle_positions":734,"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":[75,811,1547],"clock_positions":[75,811,1547],"native_values":[20,387,387],"rotation_degrees":12.228260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[20,387,387],"beta":{"interval_sums":[275230,274496,259082],"interval_residues":[714,714,714],"display_cycle":[714,714,714],"intervals":[{"from_index":75,"to_index":811,"sum":275230,"residue":714},{"from_index":811,"to_index":1547,"sum":274496,"residue":714},{"from_index":1547,"to_index":75,"sum":259082,"residue":714}],"minimal_cycle":[714],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":714,"start_interval_clock_positions":[75,811],"circle_positions":734,"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":[76,812,1548],"clock_positions":[76,812,1548],"native_values":[417,417,50],"rotation_degrees":12.391304347826088,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,417,50],"beta":{"interval_sums":[275200,274466,259052],"interval_residues":[684,684,684],"display_cycle":[684,684,684],"intervals":[{"from_index":76,"to_index":812,"sum":275200,"residue":684},{"from_index":812,"to_index":1548,"sum":274466,"residue":684},{"from_index":1548,"to_index":76,"sum":259052,"residue":684}],"minimal_cycle":[684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":684,"start_interval_clock_positions":[76,812],"circle_positions":734,"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":[77,813,1549],"clock_positions":[77,813,1549],"native_values":[437,70,437],"rotation_degrees":12.554347826086957,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[437,70,437],"beta":{"interval_sums":[275180,274446,259032],"interval_residues":[664,664,664],"display_cycle":[664,664,664],"intervals":[{"from_index":77,"to_index":813,"sum":275180,"residue":664},{"from_index":813,"to_index":1549,"sum":274446,"residue":664},{"from_index":1549,"to_index":77,"sum":259032,"residue":664}],"minimal_cycle":[664],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":664,"start_interval_clock_positions":[77,813],"circle_positions":734,"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":[78,814,1550],"clock_positions":[78,814,1550],"native_values":[120,487,487],"rotation_degrees":12.717391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[120,487,487],"beta":{"interval_sums":[275130,274396,258982],"interval_residues":[614,614,614],"display_cycle":[614,614,614],"intervals":[{"from_index":78,"to_index":814,"sum":275130,"residue":614},{"from_index":814,"to_index":1550,"sum":274396,"residue":614},{"from_index":1550,"to_index":78,"sum":258982,"residue":614}],"minimal_cycle":[614],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":614,"start_interval_clock_positions":[78,814],"circle_positions":734,"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":[79,815,1551],"clock_positions":[79,815,1551],"native_values":[557,557,190],"rotation_degrees":12.880434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,557,190],"beta":{"interval_sums":[275060,274326,258912],"interval_residues":[544,544,544],"display_cycle":[544,544,544],"intervals":[{"from_index":79,"to_index":815,"sum":275060,"residue":544},{"from_index":815,"to_index":1551,"sum":274326,"residue":544},{"from_index":1551,"to_index":79,"sum":258912,"residue":544}],"minimal_cycle":[544],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":544,"start_interval_clock_positions":[79,815],"circle_positions":734,"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":[80,816,1552],"clock_positions":[80,816,1552],"native_values":[677,310,677],"rotation_degrees":13.043478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[677,310,677],"beta":{"interval_sums":[274940,274206,258792],"interval_residues":[424,424,424],"display_cycle":[424,424,424],"intervals":[{"from_index":80,"to_index":816,"sum":274940,"residue":424},{"from_index":816,"to_index":1552,"sum":274206,"residue":424},{"from_index":1552,"to_index":80,"sum":258792,"residue":424}],"minimal_cycle":[424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[80,816],"circle_positions":734,"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":[81,817,1553],"clock_positions":[81,817,1553],"native_values":[500,133,133],"rotation_degrees":13.206521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[500,133,133],"beta":{"interval_sums":[274750,274750,259336],"interval_residues":[234,234,234],"display_cycle":[234,234,234],"intervals":[{"from_index":81,"to_index":817,"sum":274750,"residue":234},{"from_index":817,"to_index":1553,"sum":274750,"residue":234},{"from_index":1553,"to_index":81,"sum":259336,"residue":234}],"minimal_cycle":[234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[81,817],"circle_positions":734,"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":[82,818,1554],"clock_positions":[82,818,1554],"native_values":[443,443,76],"rotation_degrees":13.369565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,443,76],"beta":{"interval_sums":[274440,274440,259760],"interval_residues":[658,658,658],"display_cycle":[658,658,658],"intervals":[{"from_index":82,"to_index":818,"sum":274440,"residue":658},{"from_index":818,"to_index":1554,"sum":274440,"residue":658},{"from_index":1554,"to_index":82,"sum":259760,"residue":658}],"minimal_cycle":[658],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":658,"start_interval_clock_positions":[82,818],"circle_positions":734,"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":[83,819,1555],"clock_positions":[83,819,1555],"native_values":[209,576,209],"rotation_degrees":13.532608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,576,209],"beta":{"interval_sums":[274674,273940,259994],"interval_residues":[158,158,158],"display_cycle":[158,158,158],"intervals":[{"from_index":83,"to_index":819,"sum":274674,"residue":158},{"from_index":819,"to_index":1555,"sum":273940,"residue":158},{"from_index":1555,"to_index":83,"sum":259994,"residue":158}],"minimal_cycle":[158],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":158,"start_interval_clock_positions":[83,819],"circle_positions":734,"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":[84,820,1556],"clock_positions":[84,820,1556],"native_values":[652,285,285],"rotation_degrees":13.695652173913043,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[652,285,285],"beta":{"interval_sums":[274598,273864,259918],"interval_residues":[82,82,82],"display_cycle":[82,82,82],"intervals":[{"from_index":84,"to_index":820,"sum":274598,"residue":82},{"from_index":820,"to_index":1556,"sum":273864,"residue":82},{"from_index":1556,"to_index":84,"sum":259918,"residue":82}],"minimal_cycle":[82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[84,820],"circle_positions":734,"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":[85,821,1557],"clock_positions":[85,821,1557],"native_values":[127,127,494],"rotation_degrees":13.858695652173912,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,127,494],"beta":{"interval_sums":[274756,274022,260076],"interval_residues":[240,240,240],"display_cycle":[240,240,240],"intervals":[{"from_index":85,"to_index":821,"sum":274756,"residue":240},{"from_index":821,"to_index":1557,"sum":274022,"residue":240},{"from_index":1557,"to_index":85,"sum":260076,"residue":240}],"minimal_cycle":[240],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[85,821],"circle_positions":734,"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":[86,822,1558],"clock_positions":[86,822,1558],"native_values":[45,412,45],"rotation_degrees":14.021739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,412,45],"beta":{"interval_sums":[274838,274104,260158],"interval_residues":[322,322,322],"display_cycle":[322,322,322],"intervals":[{"from_index":86,"to_index":822,"sum":274838,"residue":322},{"from_index":822,"to_index":1558,"sum":274104,"residue":322},{"from_index":1558,"to_index":86,"sum":260158,"residue":322}],"minimal_cycle":[322],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":322,"start_interval_clock_positions":[86,822],"circle_positions":734,"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":[87,823,1559],"clock_positions":[87,823,1559],"native_values":[172,539,539],"rotation_degrees":14.184782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[172,539,539],"beta":{"interval_sums":[275078,273610,259664],"interval_residues":[562,562,562],"display_cycle":[562,562,562],"intervals":[{"from_index":87,"to_index":823,"sum":275078,"residue":562},{"from_index":823,"to_index":1559,"sum":273610,"residue":562},{"from_index":1559,"to_index":87,"sum":259664,"residue":562}],"minimal_cycle":[562],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":562,"start_interval_clock_positions":[87,823],"circle_positions":734,"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":[88,824,1560],"clock_positions":[88,824,1560],"native_values":[217,217,584],"rotation_degrees":14.347826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[217,217,584],"beta":{"interval_sums":[275400,273932,259252],"interval_residues":[150,150,150],"display_cycle":[150,150,150],"intervals":[{"from_index":88,"to_index":824,"sum":275400,"residue":150},{"from_index":824,"to_index":1560,"sum":273932,"residue":150},{"from_index":1560,"to_index":88,"sum":259252,"residue":150}],"minimal_cycle":[150],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[88,824],"circle_positions":734,"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":[89,825,1561],"clock_positions":[89,825,1561],"native_values":[389,22,389],"rotation_degrees":14.51086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[389,22,389],"beta":{"interval_sums":[275228,274494,259080],"interval_residues":[712,712,712],"display_cycle":[712,712,712],"intervals":[{"from_index":89,"to_index":825,"sum":275228,"residue":712},{"from_index":825,"to_index":1561,"sum":274494,"residue":712},{"from_index":1561,"to_index":89,"sum":259080,"residue":712}],"minimal_cycle":[712],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":712,"start_interval_clock_positions":[89,825],"circle_positions":734,"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":[90,826,1562],"clock_positions":[90,826,1562],"native_values":[606,239,239],"rotation_degrees":14.673913043478262,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[606,239,239],"beta":{"interval_sums":[274644,274644,259230],"interval_residues":[128,128,128],"display_cycle":[128,128,128],"intervals":[{"from_index":90,"to_index":826,"sum":274644,"residue":128},{"from_index":826,"to_index":1562,"sum":274644,"residue":128},{"from_index":1562,"to_index":90,"sum":259230,"residue":128}],"minimal_cycle":[128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":128,"start_interval_clock_positions":[90,826],"circle_positions":734,"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":[91,827,1563],"clock_positions":[91,827,1563],"native_values":[261,261,628],"rotation_degrees":14.83695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,261,628],"beta":{"interval_sums":[274622,274622,259208],"interval_residues":[106,106,106],"display_cycle":[106,106,106],"intervals":[{"from_index":91,"to_index":827,"sum":274622,"residue":106},{"from_index":827,"to_index":1563,"sum":274622,"residue":106},{"from_index":1563,"to_index":91,"sum":259208,"residue":106}],"minimal_cycle":[106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[91,827],"circle_positions":734,"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":[92,828,1564],"clock_positions":[92,828,1564],"native_values":[133,500,133],"rotation_degrees":15.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,500,133],"beta":{"interval_sums":[274750,274750,259336],"interval_residues":[234,234,234],"display_cycle":[234,234,234],"intervals":[{"from_index":92,"to_index":828,"sum":274750,"residue":234},{"from_index":828,"to_index":1564,"sum":274750,"residue":234},{"from_index":1564,"to_index":92,"sum":259336,"residue":234}],"minimal_cycle":[234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[92,828],"circle_positions":734,"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":[93,829,1565],"clock_positions":[93,829,1565],"native_values":[394,27,27],"rotation_degrees":15.16304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[394,27,27],"beta":{"interval_sums":[274856,274856,259442],"interval_residues":[340,340,340],"display_cycle":[340,340,340],"intervals":[{"from_index":93,"to_index":829,"sum":274856,"residue":340},{"from_index":829,"to_index":1565,"sum":274856,"residue":340},{"from_index":1565,"to_index":93,"sum":259442,"residue":340}],"minimal_cycle":[340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":340,"start_interval_clock_positions":[93,829],"circle_positions":734,"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":[94,830,1566],"clock_positions":[94,830,1566],"native_values":[527,527,160],"rotation_degrees":15.326086956521738,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,527,160],"beta":{"interval_sums":[274356,274356,259676],"interval_residues":[574,574,574],"display_cycle":[574,574,574],"intervals":[{"from_index":94,"to_index":830,"sum":274356,"residue":574},{"from_index":830,"to_index":1566,"sum":274356,"residue":574},{"from_index":1566,"to_index":94,"sum":259676,"residue":574}],"minimal_cycle":[574],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[94,830],"circle_positions":734,"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":[95,831,1567],"clock_positions":[95,831,1567],"native_values":[187,554,187],"rotation_degrees":15.48913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[187,554,187],"beta":{"interval_sums":[274696,273962,260016],"interval_residues":[180,180,180],"display_cycle":[180,180,180],"intervals":[{"from_index":95,"to_index":831,"sum":274696,"residue":180},{"from_index":831,"to_index":1567,"sum":273962,"residue":180},{"from_index":1567,"to_index":95,"sum":260016,"residue":180}],"minimal_cycle":[180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[95,831],"circle_positions":734,"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":[96,832,1568],"clock_positions":[96,832,1568],"native_values":[714,347,347],"rotation_degrees":15.652173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[714,347,347],"beta":{"interval_sums":[274536,273802,259856],"interval_residues":[20,20,20],"display_cycle":[20,20,20],"intervals":[{"from_index":96,"to_index":832,"sum":274536,"residue":20},{"from_index":832,"to_index":1568,"sum":273802,"residue":20},{"from_index":1568,"to_index":96,"sum":259856,"residue":20}],"minimal_cycle":[20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":20,"start_interval_clock_positions":[96,832],"circle_positions":734,"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":[97,833,1569],"clock_positions":[97,833,1569],"native_values":[167,167,534],"rotation_degrees":15.815217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,167,534],"beta":{"interval_sums":[274716,273982,260036],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":97,"to_index":833,"sum":274716,"residue":200},{"from_index":833,"to_index":1569,"sum":273982,"residue":200},{"from_index":1569,"to_index":97,"sum":260036,"residue":200}],"minimal_cycle":[200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[97,833],"circle_positions":734,"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":[98,834,1570],"clock_positions":[98,834,1570],"native_values":[147,514,147],"rotation_degrees":15.978260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[147,514,147],"beta":{"interval_sums":[274736,274002,260056],"interval_residues":[220,220,220],"display_cycle":[220,220,220],"intervals":[{"from_index":98,"to_index":834,"sum":274736,"residue":220},{"from_index":834,"to_index":1570,"sum":274002,"residue":220},{"from_index":1570,"to_index":98,"sum":260056,"residue":220}],"minimal_cycle":[220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[98,834],"circle_positions":734,"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":[99,835,1571],"clock_positions":[99,835,1571],"native_values":[314,681,681],"rotation_degrees":16.141304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[314,681,681],"beta":{"interval_sums":[274936,273468,259522],"interval_residues":[420,420,420],"display_cycle":[420,420,420],"intervals":[{"from_index":99,"to_index":835,"sum":274936,"residue":420},{"from_index":835,"to_index":1571,"sum":273468,"residue":420},{"from_index":1571,"to_index":99,"sum":259522,"residue":420}],"minimal_cycle":[420],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":420,"start_interval_clock_positions":[99,835],"circle_positions":734,"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":[100,836,1572],"clock_positions":[100,836,1572],"native_values":[461,461,94],"rotation_degrees":16.304347826086957,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,461,94],"beta":{"interval_sums":[275156,273688,259742],"interval_residues":[640,640,640],"display_cycle":[640,640,640],"intervals":[{"from_index":100,"to_index":836,"sum":275156,"residue":640},{"from_index":836,"to_index":1572,"sum":273688,"residue":640},{"from_index":1572,"to_index":100,"sum":259742,"residue":640}],"minimal_cycle":[640],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":640,"start_interval_clock_positions":[100,836],"circle_positions":734,"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":[101,837,1573],"clock_positions":[101,837,1573],"native_values":[41,408,41],"rotation_degrees":16.467391304347824,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,408,41],"beta":{"interval_sums":[275576,273374,260162],"interval_residues":[326,326,326],"display_cycle":[326,326,326],"intervals":[{"from_index":101,"to_index":837,"sum":275576,"residue":326},{"from_index":837,"to_index":1573,"sum":273374,"residue":326},{"from_index":1573,"to_index":101,"sum":260162,"residue":326}],"minimal_cycle":[326],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[101,837],"circle_positions":734,"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":[102,838,1574],"clock_positions":[102,838,1574],"native_values":[502,135,135],"rotation_degrees":16.630434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,135,135],"beta":{"interval_sums":[275482,273280,260068],"interval_residues":[232,232,232],"display_cycle":[232,232,232],"intervals":[{"from_index":102,"to_index":838,"sum":275482,"residue":232},{"from_index":838,"to_index":1574,"sum":273280,"residue":232},{"from_index":1574,"to_index":102,"sum":260068,"residue":232}],"minimal_cycle":[232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[102,838],"circle_positions":734,"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":[103,839,1575],"clock_positions":[103,839,1575],"native_values":[543,543,176],"rotation_degrees":16.793478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[543,543,176],"beta":{"interval_sums":[275074,272872,260394],"interval_residues":[558,558,558],"display_cycle":[558,558,558],"intervals":[{"from_index":103,"to_index":839,"sum":275074,"residue":558},{"from_index":839,"to_index":1575,"sum":272872,"residue":558},{"from_index":1575,"to_index":103,"sum":260394,"residue":558}],"minimal_cycle":[558],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":558,"start_interval_clock_positions":[103,839],"circle_positions":734,"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":[104,840,1576],"clock_positions":[104,840,1576],"native_values":[311,678,311],"rotation_degrees":16.956521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,678,311],"beta":{"interval_sums":[275306,272370,260626],"interval_residues":[56,56,56],"display_cycle":[56,56,56],"intervals":[{"from_index":104,"to_index":840,"sum":275306,"residue":56},{"from_index":840,"to_index":1576,"sum":272370,"residue":56},{"from_index":1576,"to_index":104,"sum":260626,"residue":56}],"minimal_cycle":[56],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":56,"start_interval_clock_positions":[104,840],"circle_positions":734,"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":[105,841,1577],"clock_positions":[105,841,1577],"native_values":[120,487,487],"rotation_degrees":17.119565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[120,487,487],"beta":{"interval_sums":[275864,272194,260450],"interval_residues":[614,614,614],"display_cycle":[614,614,614],"intervals":[{"from_index":105,"to_index":841,"sum":275864,"residue":614},{"from_index":841,"to_index":1577,"sum":272194,"residue":614},{"from_index":1577,"to_index":105,"sum":260450,"residue":614}],"minimal_cycle":[614],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":614,"start_interval_clock_positions":[105,841],"circle_positions":734,"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":[106,842,1578],"clock_positions":[106,842,1578],"native_values":[431,431,64],"rotation_degrees":17.282608695652176,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[431,431,64],"beta":{"interval_sums":[275920,272250,260506],"interval_residues":[670,670,670],"display_cycle":[670,670,670],"intervals":[{"from_index":106,"to_index":842,"sum":275920,"residue":670},{"from_index":842,"to_index":1578,"sum":272250,"residue":670},{"from_index":1578,"to_index":106,"sum":260506,"residue":670}],"minimal_cycle":[670],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":670,"start_interval_clock_positions":[106,842],"circle_positions":734,"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":[107,843,1579],"clock_positions":[107,843,1579],"native_values":[551,184,551],"rotation_degrees":17.445652173913043,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,184,551],"beta":{"interval_sums":[275800,272130,260386],"interval_residues":[550,550,550],"display_cycle":[550,550,550],"intervals":[{"from_index":107,"to_index":843,"sum":275800,"residue":550},{"from_index":843,"to_index":1579,"sum":272130,"residue":550},{"from_index":1579,"to_index":107,"sum":260386,"residue":550}],"minimal_cycle":[550],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":550,"start_interval_clock_positions":[107,843],"circle_positions":734,"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":[108,844,1580],"clock_positions":[108,844,1580],"native_values":[248,615,615],"rotation_degrees":17.608695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[248,615,615],"beta":{"interval_sums":[275736,272066,260322],"interval_residues":[486,486,486],"display_cycle":[486,486,486],"intervals":[{"from_index":108,"to_index":844,"sum":275736,"residue":486},{"from_index":844,"to_index":1580,"sum":272066,"residue":486},{"from_index":1580,"to_index":108,"sum":260322,"residue":486}],"minimal_cycle":[486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":486,"start_interval_clock_positions":[108,844],"circle_positions":734,"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":[109,845,1581],"clock_positions":[109,845,1581],"native_values":[65,65,432],"rotation_degrees":17.77173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,65,432],"beta":{"interval_sums":[276286,272616,260138],"interval_residues":[302,302,302],"display_cycle":[302,302,302],"intervals":[{"from_index":109,"to_index":845,"sum":276286,"residue":302},{"from_index":845,"to_index":1581,"sum":272616,"residue":302},{"from_index":1581,"to_index":109,"sum":260138,"residue":302}],"minimal_cycle":[302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":302,"start_interval_clock_positions":[109,845],"circle_positions":734,"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":[110,846,1582],"clock_positions":[110,846,1582],"native_values":[313,680,313],"rotation_degrees":17.934782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,680,313],"beta":{"interval_sums":[276038,272368,259890],"interval_residues":[54,54,54],"display_cycle":[54,54,54],"intervals":[{"from_index":110,"to_index":846,"sum":276038,"residue":54},{"from_index":846,"to_index":1582,"sum":272368,"residue":54},{"from_index":1582,"to_index":110,"sum":259890,"residue":54}],"minimal_cycle":[54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[110,846],"circle_positions":734,"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":[111,847,1583],"clock_positions":[111,847,1583],"native_values":[378,11,11],"rotation_degrees":18.097826086956523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[378,11,11],"beta":{"interval_sums":[276340,272670,260192],"interval_residues":[356,356,356],"display_cycle":[356,356,356],"intervals":[{"from_index":111,"to_index":847,"sum":276340,"residue":356},{"from_index":847,"to_index":1583,"sum":272670,"residue":356},{"from_index":1583,"to_index":111,"sum":260192,"residue":356}],"minimal_cycle":[356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":356,"start_interval_clock_positions":[111,847],"circle_positions":734,"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":[112,848,1584],"clock_positions":[112,848,1584],"native_values":[691,691,324],"rotation_degrees":18.26086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,691,324],"beta":{"interval_sums":[275660,271990,260246],"interval_residues":[410,410,410],"display_cycle":[410,410,410],"intervals":[{"from_index":112,"to_index":848,"sum":275660,"residue":410},{"from_index":848,"to_index":1584,"sum":271990,"residue":410},{"from_index":1584,"to_index":112,"sum":260246,"residue":410}],"minimal_cycle":[410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[112,848],"circle_positions":734,"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":[113,849,1585],"clock_positions":[113,849,1585],"native_values":[335,702,335],"rotation_degrees":18.42391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[335,702,335],"beta":{"interval_sums":[276016,271612,260602],"interval_residues":[32,32,32],"display_cycle":[32,32,32],"intervals":[{"from_index":113,"to_index":849,"sum":276016,"residue":32},{"from_index":849,"to_index":1585,"sum":271612,"residue":32},{"from_index":1585,"to_index":113,"sum":260602,"residue":32}],"minimal_cycle":[32],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":32,"start_interval_clock_positions":[113,849],"circle_positions":734,"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":[114,850,1586],"clock_positions":[114,850,1586],"native_values":[292,659,659],"rotation_degrees":18.58695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,659,659],"beta":{"interval_sums":[276426,271288,260278],"interval_residues":[442,442,442],"display_cycle":[442,442,442],"intervals":[{"from_index":114,"to_index":850,"sum":276426,"residue":442},{"from_index":850,"to_index":1586,"sum":271288,"residue":442},{"from_index":1586,"to_index":114,"sum":260278,"residue":442}],"minimal_cycle":[442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[114,850],"circle_positions":734,"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":[115,851,1587],"clock_positions":[115,851,1587],"native_values":[627,627,260],"rotation_degrees":18.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[627,627,260],"beta":{"interval_sums":[276458,271320,260310],"interval_residues":[474,474,474],"display_cycle":[474,474,474],"intervals":[{"from_index":115,"to_index":851,"sum":276458,"residue":474},{"from_index":851,"to_index":1587,"sum":271320,"residue":474},{"from_index":1587,"to_index":115,"sum":260310,"residue":474}],"minimal_cycle":[474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[115,851],"circle_positions":734,"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":[116,852,1588],"clock_positions":[116,852,1588],"native_values":[185,552,185],"rotation_degrees":18.91304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[185,552,185],"beta":{"interval_sums":[276900,271028,260752],"interval_residues":[182,182,182],"display_cycle":[182,182,182],"intervals":[{"from_index":116,"to_index":852,"sum":276900,"residue":182},{"from_index":852,"to_index":1588,"sum":271028,"residue":182},{"from_index":1588,"to_index":116,"sum":260752,"residue":182}],"minimal_cycle":[182],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":182,"start_interval_clock_positions":[116,852],"circle_positions":734,"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":[117,853,1589],"clock_positions":[117,853,1589],"native_values":[78,445,445],"rotation_degrees":19.07608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[78,445,445],"beta":{"interval_sums":[277374,270768,260492],"interval_residues":[656,656,656],"display_cycle":[656,656,656],"intervals":[{"from_index":117,"to_index":853,"sum":277374,"residue":656},{"from_index":853,"to_index":1589,"sum":270768,"residue":656},{"from_index":1589,"to_index":117,"sum":260492,"residue":656}],"minimal_cycle":[656],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":656,"start_interval_clock_positions":[117,853],"circle_positions":734,"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":[118,854,1590],"clock_positions":[118,854,1590],"native_values":[263,263,630],"rotation_degrees":19.23913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[263,263,630],"beta":{"interval_sums":[277556,270950,259940],"interval_residues":[104,104,104],"display_cycle":[104,104,104],"intervals":[{"from_index":118,"to_index":854,"sum":277556,"residue":104},{"from_index":854,"to_index":1590,"sum":270950,"residue":104},{"from_index":1590,"to_index":118,"sum":259940,"residue":104}],"minimal_cycle":[104],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":104,"start_interval_clock_positions":[118,854],"circle_positions":734,"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":[119,855,1591],"clock_positions":[119,855,1591],"native_values":[341,708,341],"rotation_degrees":19.402173913043477,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,708,341],"beta":{"interval_sums":[277478,270872,259862],"interval_residues":[26,26,26],"display_cycle":[26,26,26],"intervals":[{"from_index":119,"to_index":855,"sum":277478,"residue":26},{"from_index":855,"to_index":1591,"sum":270872,"residue":26},{"from_index":1591,"to_index":119,"sum":259862,"residue":26}],"minimal_cycle":[26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[119,855],"circle_positions":734,"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":[120,856,1592],"clock_positions":[120,856,1592],"native_values":[604,237,237],"rotation_degrees":19.565217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[604,237,237],"beta":{"interval_sums":[277582,270976,259966],"interval_residues":[130,130,130],"display_cycle":[130,130,130],"intervals":[{"from_index":120,"to_index":856,"sum":277582,"residue":130},{"from_index":856,"to_index":1592,"sum":270976,"residue":130},{"from_index":1592,"to_index":120,"sum":259966,"residue":130}],"minimal_cycle":[130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[120,856],"circle_positions":734,"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":[121,857,1593],"clock_positions":[121,857,1593],"native_values":[211,211,578],"rotation_degrees":19.72826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,211,578],"beta":{"interval_sums":[277608,271002,259992],"interval_residues":[156,156,156],"display_cycle":[156,156,156],"intervals":[{"from_index":121,"to_index":857,"sum":277608,"residue":156},{"from_index":857,"to_index":1593,"sum":271002,"residue":156},{"from_index":1593,"to_index":121,"sum":259992,"residue":156}],"minimal_cycle":[156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[121,857],"circle_positions":734,"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":[122,858,1594],"clock_positions":[122,858,1594],"native_values":[81,448,81],"rotation_degrees":19.891304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,448,81],"beta":{"interval_sums":[277738,271132,260122],"interval_residues":[286,286,286],"display_cycle":[286,286,286],"intervals":[{"from_index":122,"to_index":858,"sum":277738,"residue":286},{"from_index":858,"to_index":1594,"sum":271132,"residue":286},{"from_index":1594,"to_index":122,"sum":260122,"residue":286}],"minimal_cycle":[286],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[122,858],"circle_positions":734,"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":[123,859,1595],"clock_positions":[123,859,1595],"native_values":[292,659,659],"rotation_degrees":20.054347826086957,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,659,659],"beta":{"interval_sums":[277894,270554,259544],"interval_residues":[442,442,442],"display_cycle":[442,442,442],"intervals":[{"from_index":123,"to_index":859,"sum":277894,"residue":442},{"from_index":859,"to_index":1595,"sum":270554,"residue":442},{"from_index":1595,"to_index":123,"sum":259544,"residue":442}],"minimal_cycle":[442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[123,859],"circle_positions":734,"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":[124,860,1596],"clock_positions":[124,860,1596],"native_values":[373,373,6],"rotation_degrees":20.217391304347824,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[373,373,6],"beta":{"interval_sums":[278180,270840,259830],"interval_residues":[728,728,728],"display_cycle":[728,728,728],"intervals":[{"from_index":124,"to_index":860,"sum":278180,"residue":728},{"from_index":860,"to_index":1596,"sum":270840,"residue":728},{"from_index":1596,"to_index":124,"sum":259830,"residue":728}],"minimal_cycle":[728],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":728,"start_interval_clock_positions":[124,860],"circle_positions":734,"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":[125,861,1597],"clock_positions":[125,861,1597],"native_values":[665,298,665],"rotation_degrees":20.380434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[665,298,665],"beta":{"interval_sums":[277888,270548,259538],"interval_residues":[436,436,436],"display_cycle":[436,436,436],"intervals":[{"from_index":125,"to_index":861,"sum":277888,"residue":436},{"from_index":861,"to_index":1597,"sum":270548,"residue":436},{"from_index":1597,"to_index":125,"sum":259538,"residue":436}],"minimal_cycle":[436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[125,861],"circle_positions":734,"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":[126,862,1598],"clock_positions":[126,862,1598],"native_values":[304,671,671],"rotation_degrees":20.543478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[304,671,671],"beta":{"interval_sums":[277882,270542,259532],"interval_residues":[430,430,430],"display_cycle":[430,430,430],"intervals":[{"from_index":126,"to_index":862,"sum":277882,"residue":430},{"from_index":862,"to_index":1598,"sum":270542,"residue":430},{"from_index":1598,"to_index":126,"sum":259532,"residue":430}],"minimal_cycle":[430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[126,862],"circle_positions":734,"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":[127,863,1599],"clock_positions":[127,863,1599],"native_values":[235,235,602],"rotation_degrees":20.706521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,235,602],"beta":{"interval_sums":[278318,270978,259234],"interval_residues":[132,132,132],"display_cycle":[132,132,132],"intervals":[{"from_index":127,"to_index":863,"sum":278318,"residue":132},{"from_index":863,"to_index":1599,"sum":270978,"residue":132},{"from_index":1599,"to_index":127,"sum":259234,"residue":132}],"minimal_cycle":[132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[127,863],"circle_positions":734,"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":[128,864,1600],"clock_positions":[128,864,1600],"native_values":[539,172,539],"rotation_degrees":20.869565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[539,172,539],"beta":{"interval_sums":[278014,271408,258930],"interval_residues":[562,562,562],"display_cycle":[562,562,562],"intervals":[{"from_index":128,"to_index":864,"sum":278014,"residue":562},{"from_index":864,"to_index":1600,"sum":271408,"residue":562},{"from_index":1600,"to_index":128,"sum":258930,"residue":562}],"minimal_cycle":[562],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":562,"start_interval_clock_positions":[128,864],"circle_positions":734,"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":[129,865,1601],"clock_positions":[129,865,1601],"native_values":[40,407,407],"rotation_degrees":21.032608695652176,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[40,407,407],"beta":{"interval_sums":[278146,271540,259062],"interval_residues":[694,694,694],"display_cycle":[694,694,694],"intervals":[{"from_index":129,"to_index":865,"sum":278146,"residue":694},{"from_index":865,"to_index":1601,"sum":271540,"residue":694},{"from_index":1601,"to_index":129,"sum":259062,"residue":694}],"minimal_cycle":[694],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":694,"start_interval_clock_positions":[129,865],"circle_positions":734,"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":[130,866,1602],"clock_positions":[130,866,1602],"native_values":[579,579,212],"rotation_degrees":21.195652173913043,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[579,579,212],"beta":{"interval_sums":[277974,271368,258890],"interval_residues":[522,522,522],"display_cycle":[522,522,522],"intervals":[{"from_index":130,"to_index":866,"sum":277974,"residue":522},{"from_index":866,"to_index":1602,"sum":271368,"residue":522},{"from_index":1602,"to_index":130,"sum":258890,"residue":522}],"minimal_cycle":[522],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":522,"start_interval_clock_positions":[130,866],"circle_positions":734,"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":[131,867,1603],"clock_positions":[131,867,1603],"native_values":[619,252,619],"rotation_degrees":21.358695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[619,252,619],"beta":{"interval_sums":[277934,271328,258850],"interval_residues":[482,482,482],"display_cycle":[482,482,482],"intervals":[{"from_index":131,"to_index":867,"sum":277934,"residue":482},{"from_index":867,"to_index":1603,"sum":271328,"residue":482},{"from_index":1603,"to_index":131,"sum":258850,"residue":482}],"minimal_cycle":[482],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":482,"start_interval_clock_positions":[131,867],"circle_positions":734,"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":[132,868,1604],"clock_positions":[132,868,1604],"native_values":[464,97,97],"rotation_degrees":21.52173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[464,97,97],"beta":{"interval_sums":[277722,271850,259372],"interval_residues":[270,270,270],"display_cycle":[270,270,270],"intervals":[{"from_index":132,"to_index":868,"sum":277722,"residue":270},{"from_index":868,"to_index":1604,"sum":271850,"residue":270},{"from_index":1604,"to_index":132,"sum":259372,"residue":270}],"minimal_cycle":[270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":270,"start_interval_clock_positions":[132,868],"circle_positions":734,"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":[133,869,1605],"clock_positions":[133,869,1605],"native_values":[349,349,716],"rotation_degrees":21.684782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,349,716],"beta":{"interval_sums":[277470,271598,259120],"interval_residues":[18,18,18],"display_cycle":[18,18,18],"intervals":[{"from_index":133,"to_index":869,"sum":277470,"residue":18},{"from_index":869,"to_index":1605,"sum":271598,"residue":18},{"from_index":1605,"to_index":133,"sum":259120,"residue":18}],"minimal_cycle":[18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[133,869],"circle_positions":734,"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":[134,870,1606],"clock_positions":[134,870,1606],"native_values":[79,446,79],"rotation_degrees":21.847826086956523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,446,79],"beta":{"interval_sums":[277740,271868,259390],"interval_residues":[288,288,288],"display_cycle":[288,288,288],"intervals":[{"from_index":134,"to_index":870,"sum":277740,"residue":288},{"from_index":870,"to_index":1606,"sum":271868,"residue":288},{"from_index":1606,"to_index":134,"sum":259390,"residue":288}],"minimal_cycle":[288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[134,870],"circle_positions":734,"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":[135,871,1607],"clock_positions":[135,871,1607],"native_values":[428,61,61],"rotation_degrees":22.01086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,61,61],"beta":{"interval_sums":[277758,271886,259408],"interval_residues":[306,306,306],"display_cycle":[306,306,306],"intervals":[{"from_index":135,"to_index":871,"sum":277758,"residue":306},{"from_index":871,"to_index":1607,"sum":271886,"residue":306},{"from_index":1607,"to_index":135,"sum":259408,"residue":306}],"minimal_cycle":[306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[135,871],"circle_positions":734,"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":[136,872,1608],"clock_positions":[136,872,1608],"native_values":[507,507,140],"rotation_degrees":22.17391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[507,507,140],"beta":{"interval_sums":[277312,271440,259696],"interval_residues":[594,594,594],"display_cycle":[594,594,594],"intervals":[{"from_index":136,"to_index":872,"sum":277312,"residue":594},{"from_index":872,"to_index":1608,"sum":271440,"residue":594},{"from_index":1608,"to_index":136,"sum":259696,"residue":594}],"minimal_cycle":[594],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":594,"start_interval_clock_positions":[136,872],"circle_positions":734,"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":[137,873,1609],"clock_positions":[137,873,1609],"native_values":[201,568,201],"rotation_degrees":22.33695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[201,568,201],"beta":{"interval_sums":[277618,271012,260002],"interval_residues":[166,166,166],"display_cycle":[166,166,166],"intervals":[{"from_index":137,"to_index":873,"sum":277618,"residue":166},{"from_index":873,"to_index":1609,"sum":271012,"residue":166},{"from_index":1609,"to_index":137,"sum":260002,"residue":166}],"minimal_cycle":[166],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":166,"start_interval_clock_positions":[137,873],"circle_positions":734,"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":[138,874,1610],"clock_positions":[138,874,1610],"native_values":[708,341,341],"rotation_degrees":22.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[708,341,341],"beta":{"interval_sums":[277478,270872,259862],"interval_residues":[26,26,26],"display_cycle":[26,26,26],"intervals":[{"from_index":138,"to_index":874,"sum":277478,"residue":26},{"from_index":874,"to_index":1610,"sum":270872,"residue":26},{"from_index":1610,"to_index":138,"sum":259862,"residue":26}],"minimal_cycle":[26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[138,874],"circle_positions":734,"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":[139,875,1611],"clock_positions":[139,875,1611],"native_values":[175,175,542],"rotation_degrees":22.66304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[175,175,542],"beta":{"interval_sums":[277644,271038,260028],"interval_residues":[192,192,192],"display_cycle":[192,192,192],"intervals":[{"from_index":139,"to_index":875,"sum":277644,"residue":192},{"from_index":875,"to_index":1611,"sum":271038,"residue":192},{"from_index":1611,"to_index":139,"sum":260028,"residue":192}],"minimal_cycle":[192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[139,875],"circle_positions":734,"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":[140,876,1612],"clock_positions":[140,876,1612],"native_values":[149,516,149],"rotation_degrees":22.82608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,516,149],"beta":{"interval_sums":[277670,271064,260054],"interval_residues":[218,218,218],"display_cycle":[218,218,218],"intervals":[{"from_index":140,"to_index":876,"sum":277670,"residue":218},{"from_index":876,"to_index":1612,"sum":271064,"residue":218},{"from_index":1612,"to_index":140,"sum":260054,"residue":218}],"minimal_cycle":[218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":218,"start_interval_clock_positions":[140,876],"circle_positions":734,"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":[141,877,1613],"clock_positions":[141,877,1613],"native_values":[324,691,691],"rotation_degrees":22.98913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[324,691,691],"beta":{"interval_sums":[277862,270522,259512],"interval_residues":[410,410,410],"display_cycle":[410,410,410],"intervals":[{"from_index":141,"to_index":877,"sum":277862,"residue":410},{"from_index":877,"to_index":1613,"sum":270522,"residue":410},{"from_index":1613,"to_index":141,"sum":259512,"residue":410}],"minimal_cycle":[410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[141,877],"circle_positions":734,"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":[142,878,1614],"clock_positions":[142,878,1614],"native_values":[473,473,106],"rotation_degrees":23.152173913043477,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,473,106],"beta":{"interval_sums":[278080,270740,259730],"interval_residues":[628,628,628],"display_cycle":[628,628,628],"intervals":[{"from_index":142,"to_index":878,"sum":278080,"residue":628},{"from_index":878,"to_index":1614,"sum":270740,"residue":628},{"from_index":1614,"to_index":142,"sum":259730,"residue":628}],"minimal_cycle":[628],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[142,878],"circle_positions":734,"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":[143,879,1615],"clock_positions":[143,879,1615],"native_values":[63,430,63],"rotation_degrees":23.315217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[63,430,63],"beta":{"interval_sums":[278490,270416,260140],"interval_residues":[304,304,304],"display_cycle":[304,304,304],"intervals":[{"from_index":143,"to_index":879,"sum":278490,"residue":304},{"from_index":879,"to_index":1615,"sum":270416,"residue":304},{"from_index":1615,"to_index":143,"sum":260140,"residue":304}],"minimal_cycle":[304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":304,"start_interval_clock_positions":[143,879],"circle_positions":734,"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":[144,880,1616],"clock_positions":[144,880,1616],"native_values":[536,169,169],"rotation_degrees":23.47826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[536,169,169],"beta":{"interval_sums":[278384,270310,260034],"interval_residues":[198,198,198],"display_cycle":[198,198,198],"intervals":[{"from_index":144,"to_index":880,"sum":278384,"residue":198},{"from_index":880,"to_index":1616,"sum":270310,"residue":198},{"from_index":1616,"to_index":144,"sum":260034,"residue":198}],"minimal_cycle":[198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[144,880],"circle_positions":734,"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":[145,881,1617],"clock_positions":[145,881,1617],"native_values":[599,599,232],"rotation_degrees":23.641304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[599,599,232],"beta":{"interval_sums":[277954,269880,260338],"interval_residues":[502,502,502],"display_cycle":[502,502,502],"intervals":[{"from_index":145,"to_index":881,"sum":277954,"residue":502},{"from_index":881,"to_index":1617,"sum":269880,"residue":502},{"from_index":1617,"to_index":145,"sum":260338,"residue":502}],"minimal_cycle":[502],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[145,881],"circle_positions":734,"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":[146,882,1618],"clock_positions":[146,882,1618],"native_values":[401,34,401],"rotation_degrees":23.804347826086957,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[401,34,401],"beta":{"interval_sums":[278152,270078,260536],"interval_residues":[700,700,700],"display_cycle":[700,700,700],"intervals":[{"from_index":146,"to_index":882,"sum":278152,"residue":700},{"from_index":882,"to_index":1618,"sum":270078,"residue":700},{"from_index":1618,"to_index":146,"sum":260536,"residue":700}],"minimal_cycle":[700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[146,882],"circle_positions":734,"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":[147,883,1619],"clock_positions":[147,883,1619],"native_values":[266,633,633],"rotation_degrees":23.967391304347824,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[266,633,633],"beta":{"interval_sums":[277920,269846,260304],"interval_residues":[468,468,468],"display_cycle":[468,468,468],"intervals":[{"from_index":147,"to_index":883,"sum":277920,"residue":468},{"from_index":883,"to_index":1619,"sum":269846,"residue":468},{"from_index":1619,"to_index":147,"sum":260304,"residue":468}],"minimal_cycle":[468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[147,883],"circle_positions":734,"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":[148,884,1620],"clock_positions":[148,884,1620],"native_values":[667,667,300],"rotation_degrees":24.130434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[667,667,300],"beta":{"interval_sums":[277886,269812,260270],"interval_residues":[434,434,434],"display_cycle":[434,434,434],"intervals":[{"from_index":148,"to_index":884,"sum":277886,"residue":434},{"from_index":884,"to_index":1620,"sum":269812,"residue":434},{"from_index":1620,"to_index":148,"sum":260270,"residue":434}],"minimal_cycle":[434],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[148,884],"circle_positions":734,"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":[149,885,1621],"clock_positions":[149,885,1621],"native_values":[199,566,199],"rotation_degrees":24.293478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[199,566,199],"beta":{"interval_sums":[278354,269546,260738],"interval_residues":[168,168,168],"display_cycle":[168,168,168],"intervals":[{"from_index":149,"to_index":885,"sum":278354,"residue":168},{"from_index":885,"to_index":1621,"sum":269546,"residue":168},{"from_index":1621,"to_index":149,"sum":260738,"residue":168}],"minimal_cycle":[168],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":168,"start_interval_clock_positions":[149,885],"circle_positions":734,"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":[150,886,1622],"clock_positions":[150,886,1622],"native_values":[132,499,499],"rotation_degrees":24.456521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,499,499],"beta":{"interval_sums":[278788,269246,260438],"interval_residues":[602,602,602],"display_cycle":[602,602,602],"intervals":[{"from_index":150,"to_index":886,"sum":278788,"residue":602},{"from_index":886,"to_index":1622,"sum":269246,"residue":602},{"from_index":1622,"to_index":150,"sum":260438,"residue":602}],"minimal_cycle":[602],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":602,"start_interval_clock_positions":[150,886],"circle_positions":734,"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":[151,887,1623],"clock_positions":[151,887,1623],"native_values":[331,331,698],"rotation_degrees":24.619565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,331,698],"beta":{"interval_sums":[278956,269414,259872],"interval_residues":[36,36,36],"display_cycle":[36,36,36],"intervals":[{"from_index":151,"to_index":887,"sum":278956,"residue":36},{"from_index":887,"to_index":1623,"sum":269414,"residue":36},{"from_index":1623,"to_index":151,"sum":259872,"residue":36}],"minimal_cycle":[36],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[151,887],"circle_positions":734,"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":[152,888,1624],"clock_positions":[152,888,1624],"native_values":[463,96,463],"rotation_degrees":24.782608695652176,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[463,96,463],"beta":{"interval_sums":[278824,270016,259740],"interval_residues":[638,638,638],"display_cycle":[638,638,638],"intervals":[{"from_index":152,"to_index":888,"sum":278824,"residue":638},{"from_index":888,"to_index":1624,"sum":270016,"residue":638},{"from_index":1624,"to_index":152,"sum":259740,"residue":638}],"minimal_cycle":[638],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[152,888],"circle_positions":734,"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":[153,889,1625],"clock_positions":[153,889,1625],"native_values":[60,427,427],"rotation_degrees":24.945652173913043,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,427,427],"beta":{"interval_sums":[278860,270052,259776],"interval_residues":[674,674,674],"display_cycle":[674,674,674],"intervals":[{"from_index":153,"to_index":889,"sum":278860,"residue":674},{"from_index":889,"to_index":1625,"sum":270052,"residue":674},{"from_index":1625,"to_index":153,"sum":259776,"residue":674}],"minimal_cycle":[674],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":674,"start_interval_clock_positions":[153,889],"circle_positions":734,"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":[154,890,1626],"clock_positions":[154,890,1626],"native_values":[523,523,156],"rotation_degrees":25.108695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,523,156],"beta":{"interval_sums":[278764,269956,259680],"interval_residues":[578,578,578],"display_cycle":[578,578,578],"intervals":[{"from_index":154,"to_index":890,"sum":278764,"residue":578},{"from_index":890,"to_index":1626,"sum":269956,"residue":578},{"from_index":1626,"to_index":154,"sum":259680,"residue":578}],"minimal_cycle":[578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[154,890],"circle_positions":734,"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":[155,891,1627],"clock_positions":[155,891,1627],"native_values":[583,216,583],"rotation_degrees":25.27173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[583,216,583],"beta":{"interval_sums":[278704,269896,259620],"interval_residues":[518,518,518],"display_cycle":[518,518,518],"intervals":[{"from_index":155,"to_index":891,"sum":278704,"residue":518},{"from_index":891,"to_index":1627,"sum":269896,"residue":518},{"from_index":1627,"to_index":155,"sum":259620,"residue":518}],"minimal_cycle":[518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[155,891],"circle_positions":734,"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":[156,892,1628],"clock_positions":[156,892,1628],"native_values":[372,5,5],"rotation_degrees":25.434782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[372,5,5],"beta":{"interval_sums":[278548,270474,260198],"interval_residues":[362,362,362],"display_cycle":[362,362,362],"intervals":[{"from_index":156,"to_index":892,"sum":278548,"residue":362},{"from_index":892,"to_index":1628,"sum":270474,"residue":362},{"from_index":1628,"to_index":156,"sum":260198,"residue":362}],"minimal_cycle":[362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[156,892],"circle_positions":734,"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":[157,893,1629],"clock_positions":[157,893,1629],"native_values":[221,221,588],"rotation_degrees":25.597826086956523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,221,588],"beta":{"interval_sums":[278332,270258,259982],"interval_residues":[146,146,146],"display_cycle":[146,146,146],"intervals":[{"from_index":157,"to_index":893,"sum":278332,"residue":146},{"from_index":893,"to_index":1629,"sum":270258,"residue":146},{"from_index":1629,"to_index":157,"sum":259982,"residue":146}],"minimal_cycle":[146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[157,893],"circle_positions":734,"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":[158,894,1630],"clock_positions":[158,894,1630],"native_values":[593,226,593],"rotation_degrees":25.76086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[593,226,593],"beta":{"interval_sums":[277960,270620,259610],"interval_residues":[508,508,508],"display_cycle":[508,508,508],"intervals":[{"from_index":158,"to_index":894,"sum":277960,"residue":508},{"from_index":894,"to_index":1630,"sum":270620,"residue":508},{"from_index":1630,"to_index":158,"sum":259610,"residue":508}],"minimal_cycle":[508],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":508,"start_interval_clock_positions":[158,894],"circle_positions":734,"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":[159,895,1631],"clock_positions":[159,895,1631],"native_values":[80,447,447],"rotation_degrees":25.92391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[80,447,447],"beta":{"interval_sums":[278106,270766,259756],"interval_residues":[654,654,654],"display_cycle":[654,654,654],"intervals":[{"from_index":159,"to_index":895,"sum":278106,"residue":654},{"from_index":895,"to_index":1631,"sum":270766,"residue":654},{"from_index":1631,"to_index":159,"sum":259756,"residue":654}],"minimal_cycle":[654],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":654,"start_interval_clock_positions":[159,895],"circle_positions":734,"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":[160,896,1632],"clock_positions":[160,896,1632],"native_values":[673,673,306],"rotation_degrees":26.08695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[673,673,306],"beta":{"interval_sums":[277880,270540,259530],"interval_residues":[428,428,428],"display_cycle":[428,428,428],"intervals":[{"from_index":160,"to_index":896,"sum":277880,"residue":428},{"from_index":896,"to_index":1632,"sum":270540,"residue":428},{"from_index":1632,"to_index":160,"sum":259530,"residue":428}],"minimal_cycle":[428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[160,896],"circle_positions":734,"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":[161,897,1633],"clock_positions":[161,897,1633],"native_values":[19,386,19],"rotation_degrees":26.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[19,386,19],"beta":{"interval_sums":[278534,270460,260184],"interval_residues":[348,348,348],"display_cycle":[348,348,348],"intervals":[{"from_index":161,"to_index":897,"sum":278534,"residue":348},{"from_index":897,"to_index":1633,"sum":270460,"residue":348},{"from_index":1633,"to_index":161,"sum":260184,"residue":348}],"minimal_cycle":[348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[161,897],"circle_positions":734,"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":[162,898,1634],"clock_positions":[162,898,1634],"native_values":[692,325,325],"rotation_degrees":26.41304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[692,325,325],"beta":{"interval_sums":[278228,270154,259878],"interval_residues":[42,42,42],"display_cycle":[42,42,42],"intervals":[{"from_index":162,"to_index":898,"sum":278228,"residue":42},{"from_index":898,"to_index":1634,"sum":270154,"residue":42},{"from_index":1634,"to_index":162,"sum":259878,"residue":42}],"minimal_cycle":[42],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":42,"start_interval_clock_positions":[162,898],"circle_positions":734,"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":[163,899,1635],"clock_positions":[163,899,1635],"native_values":[711,711,344],"rotation_degrees":26.57608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[711,711,344],"beta":{"interval_sums":[277842,269768,260226],"interval_residues":[390,390,390],"display_cycle":[390,390,390],"intervals":[{"from_index":163,"to_index":899,"sum":277842,"residue":390},{"from_index":899,"to_index":1635,"sum":269768,"residue":390},{"from_index":1635,"to_index":163,"sum":260226,"residue":390}],"minimal_cycle":[390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":390,"start_interval_clock_positions":[163,899],"circle_positions":734,"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":[164,900,1636],"clock_positions":[164,900,1636],"native_values":[669,302,669],"rotation_degrees":26.73913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,302,669],"beta":{"interval_sums":[277884,269810,260268],"interval_residues":[432,432,432],"display_cycle":[432,432,432],"intervals":[{"from_index":164,"to_index":900,"sum":277884,"residue":432},{"from_index":900,"to_index":1636,"sum":269810,"residue":432},{"from_index":1636,"to_index":164,"sum":260268,"residue":432}],"minimal_cycle":[432],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":432,"start_interval_clock_positions":[164,900],"circle_positions":734,"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":[165,901,1637],"clock_positions":[165,901,1637],"native_values":[646,279,279],"rotation_degrees":26.902173913043477,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[646,279,279],"beta":{"interval_sums":[277540,270200,260658],"interval_residues":[88,88,88],"display_cycle":[88,88,88],"intervals":[{"from_index":165,"to_index":901,"sum":277540,"residue":88},{"from_index":901,"to_index":1637,"sum":270200,"residue":88},{"from_index":1637,"to_index":165,"sum":260658,"residue":88}],"minimal_cycle":[88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[165,901],"circle_positions":734,"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":[166,902,1638],"clock_positions":[166,902,1638],"native_values":[581,581,214],"rotation_degrees":27.065217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[581,581,214],"beta":{"interval_sums":[277238,269898,261090],"interval_residues":[520,520,520],"display_cycle":[520,520,520],"intervals":[{"from_index":166,"to_index":902,"sum":277238,"residue":520},{"from_index":902,"to_index":1638,"sum":269898,"residue":520},{"from_index":1638,"to_index":166,"sum":261090,"residue":520}],"minimal_cycle":[520],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":520,"start_interval_clock_positions":[166,902],"circle_positions":734,"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":[167,903,1639],"clock_positions":[167,903,1639],"native_values":[493,126,493],"rotation_degrees":27.22826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[493,126,493],"beta":{"interval_sums":[277326,269986,261178],"interval_residues":[608,608,608],"display_cycle":[608,608,608],"intervals":[{"from_index":167,"to_index":903,"sum":277326,"residue":608},{"from_index":903,"to_index":1639,"sum":269986,"residue":608},{"from_index":1639,"to_index":167,"sum":261178,"residue":608}],"minimal_cycle":[608],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":608,"start_interval_clock_positions":[167,903],"circle_positions":734,"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":[168,904,1640],"clock_positions":[168,904,1640],"native_values":[340,707,707],"rotation_degrees":27.391304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[340,707,707],"beta":{"interval_sums":[277112,269772,260964],"interval_residues":[394,394,394],"display_cycle":[394,394,394],"intervals":[{"from_index":168,"to_index":904,"sum":277112,"residue":394},{"from_index":904,"to_index":1640,"sum":269772,"residue":394},{"from_index":1640,"to_index":168,"sum":260964,"residue":394}],"minimal_cycle":[394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[168,904],"circle_positions":734,"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":[169,905,1641],"clock_positions":[169,905,1641],"native_values":[99,99,466],"rotation_degrees":27.554347826086957,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[99,99,466],"beta":{"interval_sums":[277720,270380,260838],"interval_residues":[268,268,268],"display_cycle":[268,268,268],"intervals":[{"from_index":169,"to_index":905,"sum":277720,"residue":268},{"from_index":905,"to_index":1641,"sum":270380,"residue":268},{"from_index":1641,"to_index":169,"sum":260838,"residue":268}],"minimal_cycle":[268],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":268,"start_interval_clock_positions":[169,905],"circle_positions":734,"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":[170,906,1642],"clock_positions":[170,906,1642],"native_values":[439,72,439],"rotation_degrees":27.717391304347824,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[439,72,439],"beta":{"interval_sums":[277380,270774,260498],"interval_residues":[662,662,662],"display_cycle":[662,662,662],"intervals":[{"from_index":170,"to_index":906,"sum":277380,"residue":662},{"from_index":906,"to_index":1642,"sum":270774,"residue":662},{"from_index":1642,"to_index":170,"sum":260498,"residue":662}],"minimal_cycle":[662],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":662,"start_interval_clock_positions":[170,906],"circle_positions":734,"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":[171,907,1643],"clock_positions":[171,907,1643],"native_values":[538,171,171],"rotation_degrees":27.880434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[538,171,171],"beta":{"interval_sums":[276914,271042,260766],"interval_residues":[196,196,196],"display_cycle":[196,196,196],"intervals":[{"from_index":171,"to_index":907,"sum":276914,"residue":196},{"from_index":907,"to_index":1643,"sum":271042,"residue":196},{"from_index":1643,"to_index":171,"sum":260766,"residue":196}],"minimal_cycle":[196],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":196,"start_interval_clock_positions":[171,907],"circle_positions":734,"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":[172,908,1644],"clock_positions":[172,908,1644],"native_values":[243,243,610],"rotation_degrees":28.043478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,243,610],"beta":{"interval_sums":[276842,270970,260694],"interval_residues":[124,124,124],"display_cycle":[124,124,124],"intervals":[{"from_index":172,"to_index":908,"sum":276842,"residue":124},{"from_index":908,"to_index":1644,"sum":270970,"residue":124},{"from_index":1644,"to_index":172,"sum":260694,"residue":124}],"minimal_cycle":[124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[172,908],"circle_positions":734,"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":[173,909,1645],"clock_positions":[173,909,1645],"native_values":[47,414,47],"rotation_degrees":28.206521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,414,47],"beta":{"interval_sums":[277038,271166,260890],"interval_residues":[320,320,320],"display_cycle":[320,320,320],"intervals":[{"from_index":173,"to_index":909,"sum":277038,"residue":320},{"from_index":909,"to_index":1645,"sum":271166,"residue":320},{"from_index":1645,"to_index":173,"sum":260890,"residue":320}],"minimal_cycle":[320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[173,909],"circle_positions":734,"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":[174,910,1646],"clock_positions":[174,910,1646],"native_values":[290,657,657],"rotation_degrees":28.369565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[290,657,657],"beta":{"interval_sums":[277162,270556,260280],"interval_residues":[444,444,444],"display_cycle":[444,444,444],"intervals":[{"from_index":174,"to_index":910,"sum":277162,"residue":444},{"from_index":910,"to_index":1646,"sum":270556,"residue":444},{"from_index":1646,"to_index":174,"sum":260280,"residue":444}],"minimal_cycle":[444],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[174,910],"circle_positions":734,"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":[175,911,1647],"clock_positions":[175,911,1647],"native_values":[337,337,704],"rotation_degrees":28.532608695652176,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,337,704],"beta":{"interval_sums":[277482,270876,259866],"interval_residues":[30,30,30],"display_cycle":[30,30,30],"intervals":[{"from_index":175,"to_index":911,"sum":277482,"residue":30},{"from_index":911,"to_index":1647,"sum":270876,"residue":30},{"from_index":1647,"to_index":175,"sum":259866,"residue":30}],"minimal_cycle":[30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[175,911],"circle_positions":734,"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":[176,912,1648],"clock_positions":[176,912,1648],"native_values":[627,260,627],"rotation_degrees":28.695652173913043,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[627,260,627],"beta":{"interval_sums":[277192,271320,259576],"interval_residues":[474,474,474],"display_cycle":[474,474,474],"intervals":[{"from_index":176,"to_index":912,"sum":277192,"residue":474},{"from_index":912,"to_index":1648,"sum":271320,"residue":474},{"from_index":1648,"to_index":176,"sum":259576,"residue":474}],"minimal_cycle":[474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[176,912],"circle_positions":734,"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":[177,913,1649],"clock_positions":[177,913,1649],"native_values":[230,597,597],"rotation_degrees":28.858695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[230,597,597],"beta":{"interval_sums":[277222,271350,259606],"interval_residues":[504,504,504],"display_cycle":[504,504,504],"intervals":[{"from_index":177,"to_index":913,"sum":277222,"residue":504},{"from_index":913,"to_index":1649,"sum":271350,"residue":504},{"from_index":1649,"to_index":177,"sum":259606,"residue":504}],"minimal_cycle":[504],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":504,"start_interval_clock_positions":[177,913],"circle_positions":734,"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":[178,914,1650],"clock_positions":[178,914,1650],"native_values":[123,123,490],"rotation_degrees":29.02173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,123,490],"beta":{"interval_sums":[277696,271824,259346],"interval_residues":[244,244,244],"display_cycle":[244,244,244],"intervals":[{"from_index":178,"to_index":914,"sum":277696,"residue":244},{"from_index":914,"to_index":1650,"sum":271824,"residue":244},{"from_index":1650,"to_index":178,"sum":259346,"residue":244}],"minimal_cycle":[244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[178,914],"circle_positions":734,"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":[179,915,1651],"clock_positions":[179,915,1651],"native_values":[353,720,353],"rotation_degrees":29.184782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[353,720,353],"beta":{"interval_sums":[277466,271594,259116],"interval_residues":[14,14,14],"display_cycle":[14,14,14],"intervals":[{"from_index":179,"to_index":915,"sum":277466,"residue":14},{"from_index":915,"to_index":1651,"sum":271594,"residue":14},{"from_index":1651,"to_index":179,"sum":259116,"residue":14}],"minimal_cycle":[14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[179,915],"circle_positions":734,"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":[180,916,1652],"clock_positions":[180,916,1652],"native_values":[476,109,109],"rotation_degrees":29.347826086956523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[476,109,109],"beta":{"interval_sums":[277710,271838,259360],"interval_residues":[258,258,258],"display_cycle":[258,258,258],"intervals":[{"from_index":180,"to_index":916,"sum":277710,"residue":258},{"from_index":916,"to_index":1652,"sum":271838,"residue":258},{"from_index":1652,"to_index":180,"sum":259360,"residue":258}],"minimal_cycle":[258],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[180,916],"circle_positions":734,"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":[181,917,1653],"clock_positions":[181,917,1653],"native_values":[95,95,462],"rotation_degrees":29.51086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,95,462],"beta":{"interval_sums":[277724,271852,259374],"interval_residues":[272,272,272],"display_cycle":[272,272,272],"intervals":[{"from_index":181,"to_index":917,"sum":277724,"residue":272},{"from_index":917,"to_index":1653,"sum":271852,"residue":272},{"from_index":1653,"to_index":181,"sum":259374,"residue":272}],"minimal_cycle":[272],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":272,"start_interval_clock_positions":[181,917],"circle_positions":734,"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":[182,918,1654],"clock_positions":[182,918,1654],"native_values":[571,204,571],"rotation_degrees":29.67391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[571,204,571],"beta":{"interval_sums":[277248,272110,258898],"interval_residues":[530,530,530],"display_cycle":[530,530,530],"intervals":[{"from_index":182,"to_index":918,"sum":277248,"residue":530},{"from_index":918,"to_index":1654,"sum":272110,"residue":530},{"from_index":1654,"to_index":182,"sum":258898,"residue":530}],"minimal_cycle":[530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[182,918],"circle_positions":734,"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":[183,919,1655],"clock_positions":[183,919,1655],"native_values":[666,299,299],"rotation_degrees":29.83695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[666,299,299],"beta":{"interval_sums":[276786,272382,259170],"interval_residues":[68,68,68],"display_cycle":[68,68,68],"intervals":[{"from_index":183,"to_index":919,"sum":276786,"residue":68},{"from_index":919,"to_index":1655,"sum":272382,"residue":68},{"from_index":1655,"to_index":183,"sum":259170,"residue":68}],"minimal_cycle":[68],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":68,"start_interval_clock_positions":[183,919],"circle_positions":734,"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":[184,920,1656],"clock_positions":[184,920,1656],"native_values":[503,503,136],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[503,503,136],"beta":{"interval_sums":[276582,272178,259700],"interval_residues":[598,598,598],"display_cycle":[598,598,598],"intervals":[{"from_index":184,"to_index":920,"sum":276582,"residue":598},{"from_index":920,"to_index":1656,"sum":272178,"residue":598},{"from_index":1656,"to_index":184,"sum":259700,"residue":598}],"minimal_cycle":[598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":598,"start_interval_clock_positions":[184,920],"circle_positions":734,"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":[185,921,1657],"clock_positions":[185,921,1657],"native_values":[435,68,435],"rotation_degrees":30.16304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[435,68,435],"beta":{"interval_sums":[276650,272246,259768],"interval_residues":[666,666,666],"display_cycle":[666,666,666],"intervals":[{"from_index":185,"to_index":921,"sum":276650,"residue":666},{"from_index":921,"to_index":1657,"sum":272246,"residue":666},{"from_index":1657,"to_index":185,"sum":259768,"residue":666}],"minimal_cycle":[666],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":666,"start_interval_clock_positions":[185,921],"circle_positions":734,"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":[186,922,1658],"clock_positions":[186,922,1658],"native_values":[204,571,571],"rotation_degrees":30.32608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[204,571,571],"beta":{"interval_sums":[276514,272110,259632],"interval_residues":[530,530,530],"display_cycle":[530,530,530],"intervals":[{"from_index":186,"to_index":922,"sum":276514,"residue":530},{"from_index":922,"to_index":1658,"sum":272110,"residue":530},{"from_index":1658,"to_index":186,"sum":259632,"residue":530}],"minimal_cycle":[530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[186,922],"circle_positions":734,"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":[187,923,1659],"clock_positions":[187,923,1659],"native_values":[639,639,272],"rotation_degrees":30.48913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[639,639,272],"beta":{"interval_sums":[276446,272042,259564],"interval_residues":[462,462,462],"display_cycle":[462,462,462],"intervals":[{"from_index":187,"to_index":923,"sum":276446,"residue":462},{"from_index":923,"to_index":1659,"sum":272042,"residue":462},{"from_index":1659,"to_index":187,"sum":259564,"residue":462}],"minimal_cycle":[462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":462,"start_interval_clock_positions":[187,923],"circle_positions":734,"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":[188,924,1660],"clock_positions":[188,924,1660],"native_values":[109,476,109],"rotation_degrees":30.652173913043477,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[109,476,109],"beta":{"interval_sums":[276976,271838,260094],"interval_residues":[258,258,258],"display_cycle":[258,258,258],"intervals":[{"from_index":188,"to_index":924,"sum":276976,"residue":258},{"from_index":924,"to_index":1660,"sum":271838,"residue":258},{"from_index":1660,"to_index":188,"sum":260094,"residue":258}],"minimal_cycle":[258],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[188,924],"circle_positions":734,"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":[189,925,1661],"clock_positions":[189,925,1661],"native_values":[14,381,381],"rotation_degrees":30.815217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[14,381,381],"beta":{"interval_sums":[277438,271566,259822],"interval_residues":[720,720,720],"display_cycle":[720,720,720],"intervals":[{"from_index":189,"to_index":925,"sum":277438,"residue":720},{"from_index":925,"to_index":1661,"sum":271566,"residue":720},{"from_index":1661,"to_index":189,"sum":259822,"residue":720}],"minimal_cycle":[720],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":720,"start_interval_clock_positions":[189,925],"circle_positions":734,"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":[190,926,1662],"clock_positions":[190,926,1662],"native_values":[123,123,490],"rotation_degrees":30.97826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,123,490],"beta":{"interval_sums":[277696,271824,259346],"interval_residues":[244,244,244],"display_cycle":[244,244,244],"intervals":[{"from_index":190,"to_index":926,"sum":277696,"residue":244},{"from_index":926,"to_index":1662,"sum":271824,"residue":244},{"from_index":1662,"to_index":190,"sum":259346,"residue":244}],"minimal_cycle":[244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[190,926],"circle_positions":734,"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":[191,927,1663],"clock_positions":[191,927,1663],"native_values":[137,504,137],"rotation_degrees":31.141304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,504,137],"beta":{"interval_sums":[277682,271810,259332],"interval_residues":[230,230,230],"display_cycle":[230,230,230],"intervals":[{"from_index":191,"to_index":927,"sum":277682,"residue":230},{"from_index":927,"to_index":1663,"sum":271810,"residue":230},{"from_index":1663,"to_index":191,"sum":259332,"residue":230}],"minimal_cycle":[230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[191,927],"circle_positions":734,"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":[192,928,1664],"clock_positions":[192,928,1664],"native_values":[260,627,627],"rotation_degrees":31.304347826086957,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[260,627,627],"beta":{"interval_sums":[277926,271320,258842],"interval_residues":[474,474,474],"display_cycle":[474,474,474],"intervals":[{"from_index":192,"to_index":928,"sum":277926,"residue":474},{"from_index":928,"to_index":1664,"sum":271320,"residue":474},{"from_index":1664,"to_index":192,"sum":258842,"residue":474}],"minimal_cycle":[474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[192,928],"circle_positions":734,"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":[193,929,1665],"clock_positions":[193,929,1665],"native_values":[397,397,30],"rotation_degrees":31.467391304347824,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,397,30],"beta":{"interval_sums":[278156,271550,259072],"interval_residues":[704,704,704],"display_cycle":[704,704,704],"intervals":[{"from_index":193,"to_index":929,"sum":278156,"residue":704},{"from_index":929,"to_index":1665,"sum":271550,"residue":704},{"from_index":1665,"to_index":193,"sum":259072,"residue":704}],"minimal_cycle":[704],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":704,"start_interval_clock_positions":[193,929],"circle_positions":734,"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":[194,930,1666],"clock_positions":[194,930,1666],"native_values":[657,290,657],"rotation_degrees":31.630434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,290,657],"beta":{"interval_sums":[277896,271290,258812],"interval_residues":[444,444,444],"display_cycle":[444,444,444],"intervals":[{"from_index":194,"to_index":930,"sum":277896,"residue":444},{"from_index":930,"to_index":1666,"sum":271290,"residue":444},{"from_index":1666,"to_index":194,"sum":258812,"residue":444}],"minimal_cycle":[444],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[194,930],"circle_positions":734,"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":[195,931,1667],"clock_positions":[195,931,1667],"native_values":[320,687,687],"rotation_degrees":31.793478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[320,687,687],"beta":{"interval_sums":[277866,271260,258782],"interval_residues":[414,414,414],"display_cycle":[414,414,414],"intervals":[{"from_index":195,"to_index":931,"sum":277866,"residue":414},{"from_index":931,"to_index":1667,"sum":271260,"residue":414},{"from_index":1667,"to_index":195,"sum":258782,"residue":414}],"minimal_cycle":[414],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[195,931],"circle_positions":734,"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":[196,932,1668],"clock_positions":[196,932,1668],"native_values":[243,243,610],"rotation_degrees":31.956521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,243,610],"beta":{"interval_sums":[278310,271704,258492],"interval_residues":[124,124,124],"display_cycle":[124,124,124],"intervals":[{"from_index":196,"to_index":932,"sum":278310,"residue":124},{"from_index":932,"to_index":1668,"sum":271704,"residue":124},{"from_index":1668,"to_index":196,"sum":258492,"residue":124}],"minimal_cycle":[124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[196,932],"circle_positions":734,"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":[197,933,1669],"clock_positions":[197,933,1669],"native_values":[563,196,563],"rotation_degrees":32.119565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[563,196,563],"beta":{"interval_sums":[277990,272118,258172],"interval_residues":[538,538,538],"display_cycle":[538,538,538],"intervals":[{"from_index":197,"to_index":933,"sum":277990,"residue":538},{"from_index":933,"to_index":1669,"sum":272118,"residue":538},{"from_index":1669,"to_index":197,"sum":258172,"residue":538}],"minimal_cycle":[538],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":538,"start_interval_clock_positions":[197,933],"circle_positions":734,"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":[198,934,1670],"clock_positions":[198,934,1670],"native_values":[72,439,439],"rotation_degrees":32.28260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[72,439,439],"beta":{"interval_sums":[278114,272242,258296],"interval_residues":[662,662,662],"display_cycle":[662,662,662],"intervals":[{"from_index":198,"to_index":934,"sum":278114,"residue":662},{"from_index":934,"to_index":1670,"sum":272242,"residue":662},{"from_index":1670,"to_index":198,"sum":258296,"residue":662}],"minimal_cycle":[662],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":662,"start_interval_clock_positions":[198,934],"circle_positions":734,"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":[199,935,1671],"clock_positions":[199,935,1671],"native_values":[635,635,268],"rotation_degrees":32.44565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[635,635,268],"beta":{"interval_sums":[277918,272046,258100],"interval_residues":[466,466,466],"display_cycle":[466,466,466],"intervals":[{"from_index":199,"to_index":935,"sum":277918,"residue":466},{"from_index":935,"to_index":1671,"sum":272046,"residue":466},{"from_index":1671,"to_index":199,"sum":258100,"residue":466}],"minimal_cycle":[466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[199,935],"circle_positions":734,"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":[200,936,1672],"clock_positions":[200,936,1672],"native_values":[707,340,707],"rotation_degrees":32.608695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[707,340,707],"beta":{"interval_sums":[277846,271974,258028],"interval_residues":[394,394,394],"display_cycle":[394,394,394],"intervals":[{"from_index":200,"to_index":936,"sum":277846,"residue":394},{"from_index":936,"to_index":1672,"sum":271974,"residue":394},{"from_index":1672,"to_index":200,"sum":258028,"residue":394}],"minimal_cycle":[394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[200,936],"circle_positions":734,"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":[201,937,1673],"clock_positions":[201,937,1673],"native_values":[608,241,241],"rotation_degrees":32.77173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[608,241,241],"beta":{"interval_sums":[277578,272440,258494],"interval_residues":[126,126,126],"display_cycle":[126,126,126],"intervals":[{"from_index":201,"to_index":937,"sum":277578,"residue":126},{"from_index":937,"to_index":1673,"sum":272440,"residue":126},{"from_index":1673,"to_index":201,"sum":258494,"residue":126}],"minimal_cycle":[126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[201,937],"circle_positions":734,"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":[202,938,1674],"clock_positions":[202,938,1674],"native_values":[581,581,214],"rotation_degrees":32.93478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[581,581,214],"beta":{"interval_sums":[277238,272100,258888],"interval_residues":[520,520,520],"display_cycle":[520,520,520],"intervals":[{"from_index":202,"to_index":938,"sum":277238,"residue":520},{"from_index":938,"to_index":1674,"sum":272100,"residue":520},{"from_index":1674,"to_index":202,"sum":258888,"residue":520}],"minimal_cycle":[520],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":520,"start_interval_clock_positions":[202,938],"circle_positions":734,"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":[203,939,1675],"clock_positions":[203,939,1675],"native_values":[455,88,455],"rotation_degrees":33.09782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[455,88,455],"beta":{"interval_sums":[277364,272226,259014],"interval_residues":[646,646,646],"display_cycle":[646,646,646],"intervals":[{"from_index":203,"to_index":939,"sum":277364,"residue":646},{"from_index":939,"to_index":1675,"sum":272226,"residue":646},{"from_index":1675,"to_index":203,"sum":259014,"residue":646}],"minimal_cycle":[646],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":646,"start_interval_clock_positions":[203,939],"circle_positions":734,"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":[204,940,1676],"clock_positions":[204,940,1676],"native_values":[302,669,669],"rotation_degrees":33.26086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[302,669,669],"beta":{"interval_sums":[277150,272012,258800],"interval_residues":[432,432,432],"display_cycle":[432,432,432],"intervals":[{"from_index":204,"to_index":940,"sum":277150,"residue":432},{"from_index":940,"to_index":1676,"sum":272012,"residue":432},{"from_index":1676,"to_index":204,"sum":258800,"residue":432}],"minimal_cycle":[432],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":432,"start_interval_clock_positions":[204,940],"circle_positions":734,"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":[205,941,1677],"clock_positions":[205,941,1677],"native_values":[23,23,390],"rotation_degrees":33.42391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[23,23,390],"beta":{"interval_sums":[277796,272658,258712],"interval_residues":[344,344,344],"display_cycle":[344,344,344],"intervals":[{"from_index":205,"to_index":941,"sum":277796,"residue":344},{"from_index":941,"to_index":1677,"sum":272658,"residue":344},{"from_index":1677,"to_index":205,"sum":258712,"residue":344}],"minimal_cycle":[344],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":344,"start_interval_clock_positions":[205,941],"circle_positions":734,"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":[206,942,1678],"clock_positions":[206,942,1678],"native_values":[325,692,325],"rotation_degrees":33.58695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,692,325],"beta":{"interval_sums":[277494,272356,258410],"interval_residues":[42,42,42],"display_cycle":[42,42,42],"intervals":[{"from_index":206,"to_index":942,"sum":277494,"residue":42},{"from_index":942,"to_index":1678,"sum":272356,"residue":42},{"from_index":1678,"to_index":206,"sum":258410,"residue":42}],"minimal_cycle":[42],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":42,"start_interval_clock_positions":[206,942],"circle_positions":734,"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":[207,943,1679],"clock_positions":[207,943,1679],"native_values":[348,715,715],"rotation_degrees":33.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[348,715,715],"beta":{"interval_sums":[277838,271966,258020],"interval_residues":[386,386,386],"display_cycle":[386,386,386],"intervals":[{"from_index":207,"to_index":943,"sum":277838,"residue":386},{"from_index":943,"to_index":1679,"sum":271966,"residue":386},{"from_index":1679,"to_index":207,"sum":258020,"residue":386}],"minimal_cycle":[386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":386,"start_interval_clock_positions":[207,943],"circle_positions":734,"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":[208,944,1680],"clock_positions":[208,944,1680],"native_values":[673,673,306],"rotation_degrees":33.91304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[673,673,306],"beta":{"interval_sums":[277880,272008,258062],"interval_residues":[428,428,428],"display_cycle":[428,428,428],"intervals":[{"from_index":208,"to_index":944,"sum":277880,"residue":428},{"from_index":944,"to_index":1680,"sum":272008,"residue":428},{"from_index":1680,"to_index":208,"sum":258062,"residue":428}],"minimal_cycle":[428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[208,944],"circle_positions":734,"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":[209,945,1681],"clock_positions":[209,945,1681],"native_values":[287,654,287],"rotation_degrees":34.07608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,654,287],"beta":{"interval_sums":[278266,271660,258448],"interval_residues":[80,80,80],"display_cycle":[80,80,80],"intervals":[{"from_index":209,"to_index":945,"sum":278266,"residue":80},{"from_index":945,"to_index":1681,"sum":271660,"residue":80},{"from_index":1681,"to_index":209,"sum":258448,"residue":80}],"minimal_cycle":[80],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[209,945],"circle_positions":734,"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":[210,946,1682],"clock_positions":[210,946,1682],"native_values":[226,593,593],"rotation_degrees":34.23913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[226,593,593],"beta":{"interval_sums":[278694,271354,258142],"interval_residues":[508,508,508],"display_cycle":[508,508,508],"intervals":[{"from_index":210,"to_index":946,"sum":278694,"residue":508},{"from_index":946,"to_index":1682,"sum":271354,"residue":508},{"from_index":1682,"to_index":210,"sum":258142,"residue":508}],"minimal_cycle":[508],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":508,"start_interval_clock_positions":[210,946],"circle_positions":734,"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":[211,947,1683],"clock_positions":[211,947,1683],"native_values":[513,513,146],"rotation_degrees":34.40217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,513,146],"beta":{"interval_sums":[278774,271434,258222],"interval_residues":[588,588,588],"display_cycle":[588,588,588],"intervals":[{"from_index":211,"to_index":947,"sum":278774,"residue":588},{"from_index":947,"to_index":1683,"sum":271434,"residue":588},{"from_index":1683,"to_index":211,"sum":258222,"residue":588}],"minimal_cycle":[588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[211,947],"circle_positions":734,"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":[212,948,1684],"clock_positions":[212,948,1684],"native_values":[5,372,5],"rotation_degrees":34.56521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,372,5],"beta":{"interval_sums":[279282,271208,258730],"interval_residues":[362,362,362],"display_cycle":[362,362,362],"intervals":[{"from_index":212,"to_index":948,"sum":279282,"residue":362},{"from_index":948,"to_index":1684,"sum":271208,"residue":362},{"from_index":1684,"to_index":212,"sum":258730,"residue":362}],"minimal_cycle":[362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[212,948],"circle_positions":734,"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":[213,949,1685],"clock_positions":[213,949,1685],"native_values":[518,151,151],"rotation_degrees":34.72826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[518,151,151],"beta":{"interval_sums":[279136,271062,258584],"interval_residues":[216,216,216],"display_cycle":[216,216,216],"intervals":[{"from_index":213,"to_index":949,"sum":279136,"residue":216},{"from_index":949,"to_index":1685,"sum":271062,"residue":216},{"from_index":1685,"to_index":213,"sum":258584,"residue":216}],"minimal_cycle":[216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[213,949],"circle_positions":734,"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":[214,950,1686],"clock_positions":[214,950,1686],"native_values":[523,523,156],"rotation_degrees":34.891304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,523,156],"beta":{"interval_sums":[278764,270690,258946],"interval_residues":[578,578,578],"display_cycle":[578,578,578],"intervals":[{"from_index":214,"to_index":950,"sum":278764,"residue":578},{"from_index":950,"to_index":1686,"sum":270690,"residue":578},{"from_index":1686,"to_index":214,"sum":258946,"residue":578}],"minimal_cycle":[578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[214,950],"circle_positions":734,"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":[215,951,1687],"clock_positions":[215,951,1687],"native_values":[307,674,307],"rotation_degrees":35.05434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,674,307],"beta":{"interval_sums":[278980,270172,259162],"interval_residues":[60,60,60],"display_cycle":[60,60,60],"intervals":[{"from_index":215,"to_index":951,"sum":278980,"residue":60},{"from_index":951,"to_index":1687,"sum":270172,"residue":60},{"from_index":1687,"to_index":215,"sum":259162,"residue":60}],"minimal_cycle":[60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[215,951],"circle_positions":734,"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":[216,952,1688],"clock_positions":[216,952,1688],"native_values":[96,463,463],"rotation_degrees":35.21739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[96,463,463],"beta":{"interval_sums":[279558,270016,259006],"interval_residues":[638,638,638],"display_cycle":[638,638,638],"intervals":[{"from_index":216,"to_index":952,"sum":279558,"residue":638},{"from_index":952,"to_index":1688,"sum":270016,"residue":638},{"from_index":1688,"to_index":216,"sum":259006,"residue":638}],"minimal_cycle":[638],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[216,952],"circle_positions":734,"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":[217,953,1689],"clock_positions":[217,953,1689],"native_values":[403,403,36],"rotation_degrees":35.380434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[403,403,36],"beta":{"interval_sums":[279618,270076,259066],"interval_residues":[698,698,698],"display_cycle":[698,698,698],"intervals":[{"from_index":217,"to_index":953,"sum":279618,"residue":698},{"from_index":953,"to_index":1689,"sum":270076,"residue":698},{"from_index":1689,"to_index":217,"sum":259066,"residue":698}],"minimal_cycle":[698],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":698,"start_interval_clock_positions":[217,953],"circle_positions":734,"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":[218,954,1690],"clock_positions":[218,954,1690],"native_values":[499,132,499],"rotation_degrees":35.54347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[499,132,499],"beta":{"interval_sums":[279522,269980,258970],"interval_residues":[602,602,602],"display_cycle":[602,602,602],"intervals":[{"from_index":218,"to_index":954,"sum":279522,"residue":602},{"from_index":954,"to_index":1690,"sum":269980,"residue":602},{"from_index":1690,"to_index":218,"sum":258970,"residue":602}],"minimal_cycle":[602],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":602,"start_interval_clock_positions":[218,954],"circle_positions":734,"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":[219,955,1691],"clock_positions":[219,955,1691],"native_values":[168,535,535],"rotation_degrees":35.70652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[168,535,535],"beta":{"interval_sums":[279486,269944,258934],"interval_residues":[566,566,566],"display_cycle":[566,566,566],"intervals":[{"from_index":219,"to_index":955,"sum":279486,"residue":566},{"from_index":955,"to_index":1691,"sum":269944,"residue":566},{"from_index":1691,"to_index":219,"sum":258934,"residue":566}],"minimal_cycle":[566],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":566,"start_interval_clock_positions":[219,955],"circle_positions":734,"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":[220,956,1692],"clock_positions":[220,956,1692],"native_values":[667,667,300],"rotation_degrees":35.869565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[667,667,300],"beta":{"interval_sums":[279354,269812,258802],"interval_residues":[434,434,434],"display_cycle":[434,434,434],"intervals":[{"from_index":220,"to_index":956,"sum":279354,"residue":434},{"from_index":956,"to_index":1692,"sum":269812,"residue":434},{"from_index":1692,"to_index":220,"sum":258802,"residue":434}],"minimal_cycle":[434],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[220,956],"circle_positions":734,"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":[221,957,1693],"clock_positions":[221,957,1693],"native_values":[101,468,101],"rotation_degrees":36.03260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,468,101],"beta":{"interval_sums":[279920,269644,259368],"interval_residues":[266,266,266],"display_cycle":[266,266,266],"intervals":[{"from_index":221,"to_index":957,"sum":279920,"residue":266},{"from_index":957,"to_index":1693,"sum":269644,"residue":266},{"from_index":1693,"to_index":221,"sum":259368,"residue":266}],"minimal_cycle":[266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[221,957],"circle_positions":734,"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":[222,958,1694],"clock_positions":[222,958,1694],"native_values":[34,401,401],"rotation_degrees":36.19565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,401,401],"beta":{"interval_sums":[280354,269344,259068],"interval_residues":[700,700,700],"display_cycle":[700,700,700],"intervals":[{"from_index":222,"to_index":958,"sum":280354,"residue":700},{"from_index":958,"to_index":1694,"sum":269344,"residue":700},{"from_index":1694,"to_index":222,"sum":259068,"residue":700}],"minimal_cycle":[700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[222,958],"circle_positions":734,"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":[223,959,1695],"clock_positions":[223,959,1695],"native_values":[135,135,502],"rotation_degrees":36.358695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,135,502],"beta":{"interval_sums":[280620,269610,258600],"interval_residues":[232,232,232],"display_cycle":[232,232,232],"intervals":[{"from_index":223,"to_index":959,"sum":280620,"residue":232},{"from_index":959,"to_index":1695,"sum":269610,"residue":232},{"from_index":1695,"to_index":223,"sum":258600,"residue":232}],"minimal_cycle":[232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[223,959],"circle_positions":734,"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":[224,960,1696],"clock_positions":[224,960,1696],"native_values":[169,536,169],"rotation_degrees":36.52173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,536,169],"beta":{"interval_sums":[280586,269576,258566],"interval_residues":[198,198,198],"display_cycle":[198,198,198],"intervals":[{"from_index":224,"to_index":960,"sum":280586,"residue":198},{"from_index":960,"to_index":1696,"sum":269576,"residue":198},{"from_index":1696,"to_index":224,"sum":258566,"residue":198}],"minimal_cycle":[198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[224,960],"circle_positions":734,"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":[225,961,1697],"clock_positions":[225,961,1697],"native_values":[304,671,671],"rotation_degrees":36.68478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[304,671,671],"beta":{"interval_sums":[280818,269074,258064],"interval_residues":[430,430,430],"display_cycle":[430,430,430],"intervals":[{"from_index":225,"to_index":961,"sum":280818,"residue":430},{"from_index":961,"to_index":1697,"sum":269074,"residue":430},{"from_index":1697,"to_index":225,"sum":258064,"residue":430}],"minimal_cycle":[430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[225,961],"circle_positions":734,"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":[226,962,1698],"clock_positions":[226,962,1698],"native_values":[473,473,106],"rotation_degrees":36.84782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,473,106],"beta":{"interval_sums":[281016,269272,258262],"interval_residues":[628,628,628],"display_cycle":[628,628,628],"intervals":[{"from_index":226,"to_index":962,"sum":281016,"residue":628},{"from_index":962,"to_index":1698,"sum":269272,"residue":628},{"from_index":1698,"to_index":226,"sum":258262,"residue":628}],"minimal_cycle":[628],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[226,962],"circle_positions":734,"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":[227,963,1699],"clock_positions":[227,963,1699],"native_values":[43,410,43],"rotation_degrees":37.01086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[43,410,43],"beta":{"interval_sums":[281446,268968,258692],"interval_residues":[324,324,324],"display_cycle":[324,324,324],"intervals":[{"from_index":227,"to_index":963,"sum":281446,"residue":324},{"from_index":963,"to_index":1699,"sum":268968,"residue":324},{"from_index":1699,"to_index":227,"sum":258692,"residue":324}],"minimal_cycle":[324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[227,963],"circle_positions":734,"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":[228,964,1700],"clock_positions":[228,964,1700],"native_values":[516,149,149],"rotation_degrees":37.17391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[516,149,149],"beta":{"interval_sums":[281340,268862,258586],"interval_residues":[218,218,218],"display_cycle":[218,218,218],"intervals":[{"from_index":228,"to_index":964,"sum":281340,"residue":218},{"from_index":964,"to_index":1700,"sum":268862,"residue":218},{"from_index":1700,"to_index":228,"sum":258586,"residue":218}],"minimal_cycle":[218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":218,"start_interval_clock_positions":[228,964],"circle_positions":734,"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":[229,965,1701],"clock_positions":[229,965,1701],"native_values":[559,559,192],"rotation_degrees":37.33695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[559,559,192],"beta":{"interval_sums":[280930,268452,258910],"interval_residues":[542,542,542],"display_cycle":[542,542,542],"intervals":[{"from_index":229,"to_index":965,"sum":280930,"residue":542},{"from_index":965,"to_index":1701,"sum":268452,"residue":542},{"from_index":1701,"to_index":229,"sum":258910,"residue":542}],"minimal_cycle":[542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[229,965],"circle_positions":734,"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":[230,966,1702],"clock_positions":[230,966,1702],"native_values":[341,708,341],"rotation_degrees":37.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,708,341],"beta":{"interval_sums":[281148,267936,259128],"interval_residues":[26,26,26],"display_cycle":[26,26,26],"intervals":[{"from_index":230,"to_index":966,"sum":281148,"residue":26},{"from_index":966,"to_index":1702,"sum":267936,"residue":26},{"from_index":1702,"to_index":230,"sum":259128,"residue":26}],"minimal_cycle":[26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[230,966],"circle_positions":734,"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":[231,967,1703],"clock_positions":[231,967,1703],"native_values":[166,533,533],"rotation_degrees":37.66304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[166,533,533],"beta":{"interval_sums":[281690,267744,258936],"interval_residues":[568,568,568],"display_cycle":[568,568,568],"intervals":[{"from_index":231,"to_index":967,"sum":281690,"residue":568},{"from_index":967,"to_index":1703,"sum":267744,"residue":568},{"from_index":1703,"to_index":231,"sum":258936,"residue":568}],"minimal_cycle":[568],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":568,"start_interval_clock_positions":[231,967],"circle_positions":734,"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":[232,968,1704],"clock_positions":[232,968,1704],"native_values":[507,507,140],"rotation_degrees":37.82608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[507,507,140],"beta":{"interval_sums":[281716,267770,258962],"interval_residues":[594,594,594],"display_cycle":[594,594,594],"intervals":[{"from_index":232,"to_index":968,"sum":281716,"residue":594},{"from_index":968,"to_index":1704,"sum":267770,"residue":594},{"from_index":1704,"to_index":232,"sum":258962,"residue":594}],"minimal_cycle":[594],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":594,"start_interval_clock_positions":[232,968],"circle_positions":734,"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":[233,969,1705],"clock_positions":[233,969,1705],"native_values":[673,306,673],"rotation_degrees":37.98913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[673,306,673],"beta":{"interval_sums":[281550,267604,258796],"interval_residues":[428,428,428],"display_cycle":[428,428,428],"intervals":[{"from_index":233,"to_index":969,"sum":281550,"residue":428},{"from_index":969,"to_index":1705,"sum":267604,"residue":428},{"from_index":1705,"to_index":233,"sum":258796,"residue":428}],"minimal_cycle":[428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[233,969],"circle_positions":734,"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":[234,970,1706],"clock_positions":[234,970,1706],"native_values":[446,79,79],"rotation_degrees":38.15217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[446,79,79],"beta":{"interval_sums":[281410,268198,259390],"interval_residues":[288,288,288],"display_cycle":[288,288,288],"intervals":[{"from_index":234,"to_index":970,"sum":281410,"residue":288},{"from_index":970,"to_index":1706,"sum":268198,"residue":288},{"from_index":1706,"to_index":234,"sum":259390,"residue":288}],"minimal_cycle":[288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[234,970],"circle_positions":734,"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":[235,971,1707],"clock_positions":[235,971,1707],"native_values":[385,385,18],"rotation_degrees":38.31521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[385,385,18],"beta":{"interval_sums":[281104,267892,259818],"interval_residues":[716,716,716],"display_cycle":[716,716,716],"intervals":[{"from_index":235,"to_index":971,"sum":281104,"residue":716},{"from_index":971,"to_index":1707,"sum":267892,"residue":716},{"from_index":1707,"to_index":235,"sum":259818,"residue":716}],"minimal_cycle":[716],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":716,"start_interval_clock_positions":[235,971],"circle_positions":734,"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":[236,972,1708],"clock_positions":[236,972,1708],"native_values":[97,464,97],"rotation_degrees":38.47826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[97,464,97],"beta":{"interval_sums":[281392,267446,260106],"interval_residues":[270,270,270],"display_cycle":[270,270,270],"intervals":[{"from_index":236,"to_index":972,"sum":281392,"residue":270},{"from_index":972,"to_index":1708,"sum":267446,"residue":270},{"from_index":1708,"to_index":236,"sum":260106,"residue":270}],"minimal_cycle":[270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":270,"start_interval_clock_positions":[236,972],"circle_positions":734,"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":[237,973,1709],"clock_positions":[237,973,1709],"native_values":[482,115,115],"rotation_degrees":38.641304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[482,115,115],"beta":{"interval_sums":[281374,267428,260088],"interval_residues":[252,252,252],"display_cycle":[252,252,252],"intervals":[{"from_index":237,"to_index":973,"sum":281374,"residue":252},{"from_index":973,"to_index":1709,"sum":267428,"residue":252},{"from_index":1709,"to_index":237,"sum":260088,"residue":252}],"minimal_cycle":[252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":252,"start_interval_clock_positions":[237,973],"circle_positions":734,"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":[238,974,1710],"clock_positions":[238,974,1710],"native_values":[579,579,212],"rotation_degrees":38.80434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[579,579,212],"beta":{"interval_sums":[280910,266964,260358],"interval_residues":[522,522,522],"display_cycle":[522,522,522],"intervals":[{"from_index":238,"to_index":974,"sum":280910,"residue":522},{"from_index":974,"to_index":1710,"sum":266964,"residue":522},{"from_index":1710,"to_index":238,"sum":260358,"residue":522}],"minimal_cycle":[522],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":522,"start_interval_clock_positions":[238,974],"circle_positions":734,"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":[239,975,1711],"clock_positions":[239,975,1711],"native_values":[327,694,327],"rotation_degrees":38.96739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,694,327],"beta":{"interval_sums":[281162,266482,260610],"interval_residues":[40,40,40],"display_cycle":[40,40,40],"intervals":[{"from_index":239,"to_index":975,"sum":281162,"residue":40},{"from_index":975,"to_index":1711,"sum":266482,"residue":40},{"from_index":1711,"to_index":239,"sum":260610,"residue":40}],"minimal_cycle":[40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[239,975],"circle_positions":734,"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":[240,976,1712],"clock_positions":[240,976,1712],"native_values":[172,539,539],"rotation_degrees":39.130434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[172,539,539],"beta":{"interval_sums":[281684,266270,260398],"interval_residues":[562,562,562],"display_cycle":[562,562,562],"intervals":[{"from_index":240,"to_index":976,"sum":281684,"residue":562},{"from_index":976,"to_index":1712,"sum":266270,"residue":562},{"from_index":1712,"to_index":240,"sum":260398,"residue":562}],"minimal_cycle":[562],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":562,"start_interval_clock_positions":[240,976],"circle_positions":734,"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":[241,977,1713],"clock_positions":[241,977,1713],"native_values":[499,499,132],"rotation_degrees":39.29347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[499,499,132],"beta":{"interval_sums":[281724,266310,260438],"interval_residues":[602,602,602],"display_cycle":[602,602,602],"intervals":[{"from_index":241,"to_index":977,"sum":281724,"residue":602},{"from_index":977,"to_index":1713,"sum":266310,"residue":602},{"from_index":1713,"to_index":241,"sum":260438,"residue":602}],"minimal_cycle":[602],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":602,"start_interval_clock_positions":[241,977],"circle_positions":734,"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":[242,978,1714],"clock_positions":[242,978,1714],"native_values":[671,304,671],"rotation_degrees":39.45652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,304,671],"beta":{"interval_sums":[281552,266138,260266],"interval_residues":[430,430,430],"display_cycle":[430,430,430],"intervals":[{"from_index":242,"to_index":978,"sum":281552,"residue":430},{"from_index":978,"to_index":1714,"sum":266138,"residue":430},{"from_index":1714,"to_index":242,"sum":260266,"residue":430}],"minimal_cycle":[430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[242,978],"circle_positions":734,"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":[243,979,1715],"clock_positions":[243,979,1715],"native_values":[436,69,69],"rotation_degrees":39.619565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[436,69,69],"beta":{"interval_sums":[281420,266740,260868],"interval_residues":[298,298,298],"display_cycle":[298,298,298],"intervals":[{"from_index":243,"to_index":979,"sum":281420,"residue":298},{"from_index":979,"to_index":1715,"sum":266740,"residue":298},{"from_index":1715,"to_index":243,"sum":260868,"residue":298}],"minimal_cycle":[298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[243,979],"circle_positions":734,"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":[244,980,1716],"clock_positions":[244,980,1716],"native_values":[373,373,6],"rotation_degrees":39.78260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[373,373,6],"beta":{"interval_sums":[281116,266436,261298],"interval_residues":[728,728,728],"display_cycle":[728,728,728],"intervals":[{"from_index":244,"to_index":980,"sum":281116,"residue":728},{"from_index":980,"to_index":1716,"sum":266436,"residue":728},{"from_index":1716,"to_index":244,"sum":261298,"residue":728}],"minimal_cycle":[728],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":728,"start_interval_clock_positions":[244,980],"circle_positions":734,"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":[245,981,1717],"clock_positions":[245,981,1717],"native_values":[75,442,75],"rotation_degrees":39.94565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,442,75],"beta":{"interval_sums":[281414,266000,261596],"interval_residues":[292,292,292],"display_cycle":[292,292,292],"intervals":[{"from_index":245,"to_index":981,"sum":281414,"residue":292},{"from_index":981,"to_index":1717,"sum":266000,"residue":292},{"from_index":1717,"to_index":245,"sum":261596,"residue":292}],"minimal_cycle":[292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[245,981],"circle_positions":734,"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":[246,982,1718],"clock_positions":[246,982,1718],"native_values":[448,81,81],"rotation_degrees":40.108695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[448,81,81],"beta":{"interval_sums":[281408,265994,261590],"interval_residues":[286,286,286],"display_cycle":[286,286,286],"intervals":[{"from_index":246,"to_index":982,"sum":281408,"residue":286},{"from_index":982,"to_index":1718,"sum":265994,"residue":286},{"from_index":1718,"to_index":246,"sum":261590,"residue":286}],"minimal_cycle":[286],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[246,982],"circle_positions":734,"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":[247,983,1719],"clock_positions":[247,983,1719],"native_values":[523,523,156],"rotation_degrees":40.27173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,523,156],"beta":{"interval_sums":[280966,265552,261882],"interval_residues":[578,578,578],"display_cycle":[578,578,578],"intervals":[{"from_index":247,"to_index":983,"sum":280966,"residue":578},{"from_index":983,"to_index":1719,"sum":265552,"residue":578},{"from_index":1719,"to_index":247,"sum":261882,"residue":578}],"minimal_cycle":[578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[247,983],"circle_positions":734,"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":[248,984,1720],"clock_positions":[248,984,1720],"native_values":[237,604,237],"rotation_degrees":40.43478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,604,237],"beta":{"interval_sums":[281252,265104,262168],"interval_residues":[130,130,130],"display_cycle":[130,130,130],"intervals":[{"from_index":248,"to_index":984,"sum":281252,"residue":130},{"from_index":984,"to_index":1720,"sum":265104,"residue":130},{"from_index":1720,"to_index":248,"sum":262168,"residue":130}],"minimal_cycle":[130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[248,984],"circle_positions":734,"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":[249,985,1721],"clock_positions":[249,985,1721],"native_values":[26,393,393],"rotation_degrees":40.59782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[26,393,393],"beta":{"interval_sums":[281830,264948,262012],"interval_residues":[708,708,708],"display_cycle":[708,708,708],"intervals":[{"from_index":249,"to_index":985,"sum":281830,"residue":708},{"from_index":985,"to_index":1721,"sum":264948,"residue":708},{"from_index":1721,"to_index":249,"sum":262012,"residue":708}],"minimal_cycle":[708],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":708,"start_interval_clock_positions":[249,985],"circle_positions":734,"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":[250,986,1722],"clock_positions":[250,986,1722],"native_values":[263,263,630],"rotation_degrees":40.76086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[263,263,630],"beta":{"interval_sums":[281960,265078,261408],"interval_residues":[104,104,104],"display_cycle":[104,104,104],"intervals":[{"from_index":250,"to_index":986,"sum":281960,"residue":104},{"from_index":986,"to_index":1722,"sum":265078,"residue":104},{"from_index":1722,"to_index":250,"sum":261408,"residue":104}],"minimal_cycle":[104],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":104,"start_interval_clock_positions":[250,986],"circle_positions":734,"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":[251,987,1723],"clock_positions":[251,987,1723],"native_values":[289,656,289],"rotation_degrees":40.92391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[289,656,289],"beta":{"interval_sums":[281934,265052,261382],"interval_residues":[78,78,78],"display_cycle":[78,78,78],"intervals":[{"from_index":251,"to_index":987,"sum":281934,"residue":78},{"from_index":987,"to_index":1723,"sum":265052,"residue":78},{"from_index":1723,"to_index":251,"sum":261382,"residue":78}],"minimal_cycle":[78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":78,"start_interval_clock_positions":[251,987],"circle_positions":734,"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":[252,988,1724],"clock_positions":[252,988,1724],"native_values":[552,185,185],"rotation_degrees":41.08695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[552,185,185],"beta":{"interval_sums":[282038,265156,261486],"interval_residues":[182,182,182],"display_cycle":[182,182,182],"intervals":[{"from_index":252,"to_index":988,"sum":282038,"residue":182},{"from_index":988,"to_index":1724,"sum":265156,"residue":182},{"from_index":1724,"to_index":252,"sum":261486,"residue":182}],"minimal_cycle":[182],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":182,"start_interval_clock_positions":[252,988],"circle_positions":734,"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":[253,989,1725],"clock_positions":[253,989,1725],"native_values":[107,107,474],"rotation_degrees":41.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[107,107,474],"beta":{"interval_sums":[282116,265234,261564],"interval_residues":[260,260,260],"display_cycle":[260,260,260],"intervals":[{"from_index":253,"to_index":989,"sum":282116,"residue":260},{"from_index":989,"to_index":1725,"sum":265234,"residue":260},{"from_index":1725,"to_index":253,"sum":261564,"residue":260}],"minimal_cycle":[260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":260,"start_interval_clock_positions":[253,989],"circle_positions":734,"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":[254,990,1726],"clock_positions":[254,990,1726],"native_values":[659,292,659],"rotation_degrees":41.41304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[659,292,659],"beta":{"interval_sums":[281564,265416,261012],"interval_residues":[442,442,442],"display_cycle":[442,442,442],"intervals":[{"from_index":254,"to_index":990,"sum":281564,"residue":442},{"from_index":990,"to_index":1726,"sum":265416,"residue":442},{"from_index":1726,"to_index":254,"sum":261012,"residue":442}],"minimal_cycle":[442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[254,990],"circle_positions":734,"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":[255,991,1727],"clock_positions":[255,991,1727],"native_values":[32,399,399],"rotation_degrees":41.57608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[32,399,399],"beta":{"interval_sums":[281824,265676,261272],"interval_residues":[702,702,702],"display_cycle":[702,702,702],"intervals":[{"from_index":255,"to_index":991,"sum":281824,"residue":702},{"from_index":991,"to_index":1727,"sum":265676,"residue":702},{"from_index":1727,"to_index":255,"sum":261272,"residue":702}],"minimal_cycle":[702],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":702,"start_interval_clock_positions":[255,991],"circle_positions":734,"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":[256,992,1728],"clock_positions":[256,992,1728],"native_values":[691,691,324],"rotation_degrees":41.73913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,691,324],"beta":{"interval_sums":[281532,265384,260980],"interval_residues":[410,410,410],"display_cycle":[410,410,410],"intervals":[{"from_index":256,"to_index":992,"sum":281532,"residue":410},{"from_index":992,"to_index":1728,"sum":265384,"residue":410},{"from_index":1728,"to_index":256,"sum":260980,"residue":410}],"minimal_cycle":[410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[256,992],"circle_positions":734,"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":[257,993,1729],"clock_positions":[257,993,1729],"native_values":[723,356,723],"rotation_degrees":41.90217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[723,356,723],"beta":{"interval_sums":[281500,265352,260948],"interval_residues":[378,378,378],"display_cycle":[378,378,378],"intervals":[{"from_index":257,"to_index":993,"sum":281500,"residue":378},{"from_index":993,"to_index":1729,"sum":265352,"residue":378},{"from_index":1729,"to_index":257,"sum":260948,"residue":378}],"minimal_cycle":[378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[257,993],"circle_positions":734,"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":[258,994,1730],"clock_positions":[258,994,1730],"native_values":[680,313,313],"rotation_degrees":42.06521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[680,313,313],"beta":{"interval_sums":[281176,265762,261358],"interval_residues":[54,54,54],"display_cycle":[54,54,54],"intervals":[{"from_index":258,"to_index":994,"sum":281176,"residue":54},{"from_index":994,"to_index":1730,"sum":265762,"residue":54},{"from_index":1730,"to_index":258,"sum":261358,"residue":54}],"minimal_cycle":[54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[258,994],"circle_positions":734,"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":[259,995,1731],"clock_positions":[259,995,1731],"native_values":[669,669,302],"rotation_degrees":42.22826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,669,302],"beta":{"interval_sums":[280820,265406,261736],"interval_residues":[432,432,432],"display_cycle":[432,432,432],"intervals":[{"from_index":259,"to_index":995,"sum":280820,"residue":432},{"from_index":995,"to_index":1731,"sum":265406,"residue":432},{"from_index":1731,"to_index":259,"sum":261736,"residue":432}],"minimal_cycle":[432],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":432,"start_interval_clock_positions":[259,995],"circle_positions":734,"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":[260,996,1732],"clock_positions":[260,996,1732],"native_values":[615,248,615],"rotation_degrees":42.391304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[615,248,615],"beta":{"interval_sums":[280874,265460,261790],"interval_residues":[486,486,486],"display_cycle":[486,486,486],"intervals":[{"from_index":260,"to_index":996,"sum":280874,"residue":486},{"from_index":996,"to_index":1732,"sum":265460,"residue":486},{"from_index":1732,"to_index":260,"sum":261790,"residue":486}],"minimal_cycle":[486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":486,"start_interval_clock_positions":[260,996],"circle_positions":734,"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":[261,997,1733],"clock_positions":[261,997,1733],"native_values":[550,183,183],"rotation_degrees":42.55434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[550,183,183],"beta":{"interval_sums":[280572,265892,262222],"interval_residues":[184,184,184],"display_cycle":[184,184,184],"intervals":[{"from_index":261,"to_index":997,"sum":280572,"residue":184},{"from_index":997,"to_index":1733,"sum":265892,"residue":184},{"from_index":1733,"to_index":261,"sum":262222,"residue":184}],"minimal_cycle":[184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":184,"start_interval_clock_positions":[261,997],"circle_positions":734,"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":[262,998,1734],"clock_positions":[262,998,1734],"native_values":[431,431,64],"rotation_degrees":42.71739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[431,431,64],"beta":{"interval_sums":[280324,265644,262708],"interval_residues":[670,670,670],"display_cycle":[670,670,670],"intervals":[{"from_index":262,"to_index":998,"sum":280324,"residue":670},{"from_index":998,"to_index":1734,"sum":265644,"residue":670},{"from_index":1734,"to_index":262,"sum":262708,"residue":670}],"minimal_cycle":[670],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":670,"start_interval_clock_positions":[262,998],"circle_positions":734,"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":[263,999,1735],"clock_positions":[263,999,1735],"native_values":[247,614,247],"rotation_degrees":42.880434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,614,247],"beta":{"interval_sums":[280508,265094,262892],"interval_residues":[120,120,120],"display_cycle":[120,120,120],"intervals":[{"from_index":263,"to_index":999,"sum":280508,"residue":120},{"from_index":999,"to_index":1735,"sum":265094,"residue":120},{"from_index":1735,"to_index":263,"sum":262892,"residue":120}],"minimal_cycle":[120],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[263,999],"circle_positions":734,"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":[264,1000,1736],"clock_positions":[264,1000,1736],"native_values":[678,311,311],"rotation_degrees":43.04347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[678,311,311],"beta":{"interval_sums":[280444,265030,262828],"interval_residues":[56,56,56],"display_cycle":[56,56,56],"intervals":[{"from_index":264,"to_index":1000,"sum":280444,"residue":56},{"from_index":1000,"to_index":1736,"sum":265030,"residue":56},{"from_index":1736,"to_index":264,"sum":262828,"residue":56}],"minimal_cycle":[56],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":56,"start_interval_clock_positions":[264,1000],"circle_positions":734,"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":[265,1001,1737],"clock_positions":[265,1001,1737],"native_values":[191,191,558],"rotation_degrees":43.20652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[191,191,558],"beta":{"interval_sums":[280564,265150,262948],"interval_residues":[176,176,176],"display_cycle":[176,176,176],"intervals":[{"from_index":265,"to_index":1001,"sum":280564,"residue":176},{"from_index":1001,"to_index":1737,"sum":265150,"residue":176},{"from_index":1737,"to_index":265,"sum":262948,"residue":176}],"minimal_cycle":[176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[265,1001],"circle_positions":734,"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":[266,1002,1738],"clock_positions":[266,1002,1738],"native_values":[135,502,135],"rotation_degrees":43.369565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,502,135],"beta":{"interval_sums":[280620,265206,263004],"interval_residues":[232,232,232],"display_cycle":[232,232,232],"intervals":[{"from_index":266,"to_index":1002,"sum":280620,"residue":232},{"from_index":1002,"to_index":1738,"sum":265206,"residue":232},{"from_index":1738,"to_index":266,"sum":263004,"residue":232}],"minimal_cycle":[232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[266,1002],"circle_positions":734,"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":[267,1003,1739],"clock_positions":[267,1003,1739],"native_values":[326,693,693],"rotation_degrees":43.53260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[326,693,693],"beta":{"interval_sums":[280796,264648,262446],"interval_residues":[408,408,408],"display_cycle":[408,408,408],"intervals":[{"from_index":267,"to_index":1003,"sum":280796,"residue":408},{"from_index":1003,"to_index":1739,"sum":264648,"residue":408},{"from_index":1739,"to_index":267,"sum":262446,"residue":408}],"minimal_cycle":[408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[267,1003],"circle_positions":734,"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":[268,1004,1740],"clock_positions":[268,1004,1740],"native_values":[461,461,94],"rotation_degrees":43.69565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,461,94],"beta":{"interval_sums":[281028,264880,262678],"interval_residues":[640,640,640],"display_cycle":[640,640,640],"intervals":[{"from_index":268,"to_index":1004,"sum":281028,"residue":640},{"from_index":1004,"to_index":1740,"sum":264880,"residue":640},{"from_index":1740,"to_index":268,"sum":262678,"residue":640}],"minimal_cycle":[640],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":640,"start_interval_clock_positions":[268,1004],"circle_positions":734,"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":[269,1005,1741],"clock_positions":[269,1005,1741],"native_values":[53,420,53],"rotation_degrees":43.858695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,420,53],"beta":{"interval_sums":[281436,264554,263086],"interval_residues":[314,314,314],"display_cycle":[314,314,314],"intervals":[{"from_index":269,"to_index":1005,"sum":281436,"residue":314},{"from_index":1005,"to_index":1741,"sum":264554,"residue":314},{"from_index":1741,"to_index":269,"sum":263086,"residue":314}],"minimal_cycle":[314],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":314,"start_interval_clock_positions":[269,1005],"circle_positions":734,"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":[270,1006,1742],"clock_positions":[270,1006,1742],"native_values":[514,147,147],"rotation_degrees":44.02173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[514,147,147],"beta":{"interval_sums":[281342,264460,262992],"interval_residues":[220,220,220],"display_cycle":[220,220,220],"intervals":[{"from_index":270,"to_index":1006,"sum":281342,"residue":220},{"from_index":1006,"to_index":1742,"sum":264460,"residue":220},{"from_index":1742,"to_index":270,"sum":262992,"residue":220}],"minimal_cycle":[220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[270,1006],"circle_positions":734,"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":[271,1007,1743],"clock_positions":[271,1007,1743],"native_values":[567,567,200],"rotation_degrees":44.18478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,567,200],"beta":{"interval_sums":[280922,264040,263306],"interval_residues":[534,534,534],"display_cycle":[534,534,534],"intervals":[{"from_index":271,"to_index":1007,"sum":280922,"residue":534},{"from_index":1007,"to_index":1743,"sum":264040,"residue":534},{"from_index":1743,"to_index":271,"sum":263306,"residue":534}],"minimal_cycle":[534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[271,1007],"circle_positions":734,"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":[272,1008,1744],"clock_positions":[272,1008,1744],"native_values":[347,714,347],"rotation_degrees":44.34782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,714,347],"beta":{"interval_sums":[281142,263526,263526],"interval_residues":[20,20,20],"display_cycle":[20,20,20],"intervals":[{"from_index":272,"to_index":1008,"sum":281142,"residue":20},{"from_index":1008,"to_index":1744,"sum":263526,"residue":20},{"from_index":1744,"to_index":272,"sum":263526,"residue":20}],"minimal_cycle":[20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":20,"start_interval_clock_positions":[272,1008],"circle_positions":734,"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":[273,1009,1745],"clock_positions":[273,1009,1745],"native_values":[180,547,547],"rotation_degrees":44.51086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,547,547],"beta":{"interval_sums":[281676,263326,263326],"interval_residues":[554,554,554],"display_cycle":[554,554,554],"intervals":[{"from_index":273,"to_index":1009,"sum":281676,"residue":554},{"from_index":1009,"to_index":1745,"sum":263326,"residue":554},{"from_index":1745,"to_index":273,"sum":263326,"residue":554}],"minimal_cycle":[554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[273,1009],"circle_positions":734,"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":[274,1010,1746],"clock_positions":[274,1010,1746],"native_values":[527,527,160],"rotation_degrees":44.67391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,527,160],"beta":{"interval_sums":[281696,263346,263346],"interval_residues":[574,574,574],"display_cycle":[574,574,574],"intervals":[{"from_index":274,"to_index":1010,"sum":281696,"residue":574},{"from_index":1010,"to_index":1746,"sum":263346,"residue":574},{"from_index":1746,"to_index":274,"sum":263346,"residue":574}],"minimal_cycle":[574],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[274,1010],"circle_positions":734,"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":[275,1011,1747],"clock_positions":[275,1011,1747],"native_values":[707,340,707],"rotation_degrees":44.83695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[707,340,707],"beta":{"interval_sums":[281516,263166,263166],"interval_residues":[394,394,394],"display_cycle":[394,394,394],"intervals":[{"from_index":275,"to_index":1011,"sum":281516,"residue":394},{"from_index":1011,"to_index":1747,"sum":263166,"residue":394},{"from_index":1747,"to_index":275,"sum":263166,"residue":394}],"minimal_cycle":[394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[275,1011],"circle_positions":734,"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":[276,1012,1748],"clock_positions":[276,1012,1748],"native_values":[500,133,133],"rotation_degrees":45.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[500,133,133],"beta":{"interval_sums":[281356,263740,263740],"interval_residues":[234,234,234],"display_cycle":[234,234,234],"intervals":[{"from_index":276,"to_index":1012,"sum":281356,"residue":234},{"from_index":1012,"to_index":1748,"sum":263740,"residue":234},{"from_index":1748,"to_index":276,"sum":263740,"residue":234}],"minimal_cycle":[234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[276,1012],"circle_positions":734,"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":[277,1013,1749],"clock_positions":[277,1013,1749],"native_values":[473,473,106],"rotation_degrees":45.16304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,473,106],"beta":{"interval_sums":[281016,263400,264134],"interval_residues":[628,628,628],"display_cycle":[628,628,628],"intervals":[{"from_index":277,"to_index":1013,"sum":281016,"residue":628},{"from_index":1013,"to_index":1749,"sum":263400,"residue":628},{"from_index":1749,"to_index":277,"sum":264134,"residue":628}],"minimal_cycle":[628],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[277,1013],"circle_positions":734,"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":[278,1014,1750],"clock_positions":[278,1014,1750],"native_values":[239,606,239],"rotation_degrees":45.32608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,606,239],"beta":{"interval_sums":[281250,262900,264368],"interval_residues":[128,128,128],"display_cycle":[128,128,128],"intervals":[{"from_index":278,"to_index":1014,"sum":281250,"residue":128},{"from_index":1014,"to_index":1750,"sum":262900,"residue":128},{"from_index":1750,"to_index":278,"sum":264368,"residue":128}],"minimal_cycle":[128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":128,"start_interval_clock_positions":[278,1014],"circle_positions":734,"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":[279,1015,1751],"clock_positions":[279,1015,1751],"native_values":[712,345,345],"rotation_degrees":45.48913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[712,345,345],"beta":{"interval_sums":[281144,262794,264262],"interval_residues":[22,22,22],"display_cycle":[22,22,22],"intervals":[{"from_index":279,"to_index":1015,"sum":281144,"residue":22},{"from_index":1015,"to_index":1751,"sum":262794,"residue":22},{"from_index":1751,"to_index":279,"sum":264262,"residue":22}],"minimal_cycle":[22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":22,"start_interval_clock_positions":[279,1015],"circle_positions":734,"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":[280,1016,1752],"clock_positions":[280,1016,1752],"native_values":[217,217,584],"rotation_degrees":45.65217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[217,217,584],"beta":{"interval_sums":[281272,262922,264390],"interval_residues":[150,150,150],"display_cycle":[150,150,150],"intervals":[{"from_index":280,"to_index":1016,"sum":281272,"residue":150},{"from_index":1016,"to_index":1752,"sum":262922,"residue":150},{"from_index":1752,"to_index":280,"sum":264390,"residue":150}],"minimal_cycle":[150],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[280,1016],"circle_positions":734,"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":[281,1017,1753],"clock_positions":[281,1017,1753],"native_values":[195,562,195],"rotation_degrees":45.81521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,562,195],"beta":{"interval_sums":[281294,262944,264412],"interval_residues":[172,172,172],"display_cycle":[172,172,172],"intervals":[{"from_index":281,"to_index":1017,"sum":281294,"residue":172},{"from_index":1017,"to_index":1753,"sum":262944,"residue":172},{"from_index":1753,"to_index":281,"sum":264412,"residue":172}],"minimal_cycle":[172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":172,"start_interval_clock_positions":[281,1017],"circle_positions":734,"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":[282,1018,1754],"clock_positions":[282,1018,1754],"native_values":[412,45,45],"rotation_degrees":45.97826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[412,45,45],"beta":{"interval_sums":[281444,263094,264562],"interval_residues":[322,322,322],"display_cycle":[322,322,322],"intervals":[{"from_index":282,"to_index":1018,"sum":281444,"residue":322},{"from_index":1018,"to_index":1754,"sum":263094,"residue":322},{"from_index":1754,"to_index":282,"sum":264562,"residue":322}],"minimal_cycle":[322],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":322,"start_interval_clock_positions":[282,1018],"circle_positions":734,"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":[283,1019,1755],"clock_positions":[283,1019,1755],"native_values":[607,607,240],"rotation_degrees":46.141304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[607,607,240],"beta":{"interval_sums":[280882,262532,264734],"interval_residues":[494,494,494],"display_cycle":[494,494,494],"intervals":[{"from_index":283,"to_index":1019,"sum":280882,"residue":494},{"from_index":1019,"to_index":1755,"sum":262532,"residue":494},{"from_index":1755,"to_index":283,"sum":264734,"residue":494}],"minimal_cycle":[494],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":494,"start_interval_clock_positions":[283,1019],"circle_positions":734,"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":[284,1020,1756],"clock_positions":[284,1020,1756],"native_values":[285,652,285],"rotation_degrees":46.30434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[285,652,285],"beta":{"interval_sums":[281204,262120,265056],"interval_residues":[82,82,82],"display_cycle":[82,82,82],"intervals":[{"from_index":284,"to_index":1020,"sum":281204,"residue":82},{"from_index":1020,"to_index":1756,"sum":262120,"residue":82},{"from_index":1756,"to_index":284,"sum":265056,"residue":82}],"minimal_cycle":[82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[284,1020],"circle_positions":734,"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":[285,1021,1757],"clock_positions":[285,1021,1757],"native_values":[158,525,525],"rotation_degrees":46.46739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[158,525,525],"beta":{"interval_sums":[281698,261880,264816],"interval_residues":[576,576,576],"display_cycle":[576,576,576],"intervals":[{"from_index":285,"to_index":1021,"sum":281698,"residue":576},{"from_index":1021,"to_index":1757,"sum":261880,"residue":576},{"from_index":1757,"to_index":285,"sum":264816,"residue":576}],"minimal_cycle":[576],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":576,"start_interval_clock_positions":[285,1021],"circle_positions":734,"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":[286,1022,1758],"clock_positions":[286,1022,1758],"native_values":[443,443,76],"rotation_degrees":46.630434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,443,76],"beta":{"interval_sums":[281780,261962,264898],"interval_residues":[658,658,658],"display_cycle":[658,658,658],"intervals":[{"from_index":286,"to_index":1022,"sum":281780,"residue":658},{"from_index":1022,"to_index":1758,"sum":261962,"residue":658},{"from_index":1758,"to_index":286,"sum":264898,"residue":658}],"minimal_cycle":[658],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":658,"start_interval_clock_positions":[286,1022],"circle_positions":734,"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":[287,1023,1759],"clock_positions":[287,1023,1759],"native_values":[601,234,601],"rotation_degrees":46.79347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[601,234,601],"beta":{"interval_sums":[281622,261804,264740],"interval_residues":[500,500,500],"display_cycle":[500,500,500],"intervals":[{"from_index":287,"to_index":1023,"sum":281622,"residue":500},{"from_index":1023,"to_index":1759,"sum":261804,"residue":500},{"from_index":1759,"to_index":287,"sum":264740,"residue":500}],"minimal_cycle":[500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[287,1023],"circle_positions":734,"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":[288,1024,1760],"clock_positions":[288,1024,1760],"native_values":[310,677,677],"rotation_degrees":46.95652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[310,677,677],"beta":{"interval_sums":[281546,261728,264664],"interval_residues":[424,424,424],"display_cycle":[424,424,424],"intervals":[{"from_index":288,"to_index":1024,"sum":281546,"residue":424},{"from_index":1024,"to_index":1760,"sum":261728,"residue":424},{"from_index":1760,"to_index":288,"sum":264664,"residue":424}],"minimal_cycle":[424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[288,1024],"circle_positions":734,"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":[289,1025,1761],"clock_positions":[289,1025,1761],"native_values":[177,177,544],"rotation_degrees":47.119565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,177,544],"beta":{"interval_sums":[282046,262228,264430],"interval_residues":[190,190,190],"display_cycle":[190,190,190],"intervals":[{"from_index":289,"to_index":1025,"sum":282046,"residue":190},{"from_index":1025,"to_index":1761,"sum":262228,"residue":190},{"from_index":1761,"to_index":289,"sum":264430,"residue":190}],"minimal_cycle":[190],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":190,"start_interval_clock_positions":[289,1025],"circle_positions":734,"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":[290,1026,1762],"clock_positions":[290,1026,1762],"native_values":[487,120,487],"rotation_degrees":47.28260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[487,120,487],"beta":{"interval_sums":[281736,262652,264120],"interval_residues":[614,614,614],"display_cycle":[614,614,614],"intervals":[{"from_index":290,"to_index":1026,"sum":281736,"residue":614},{"from_index":1026,"to_index":1762,"sum":262652,"residue":614},{"from_index":1762,"to_index":290,"sum":264120,"residue":614}],"minimal_cycle":[614],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":614,"start_interval_clock_positions":[290,1026],"circle_positions":734,"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":[291,1027,1763],"clock_positions":[291,1027,1763],"native_values":[664,297,297],"rotation_degrees":47.44565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[664,297,297],"beta":{"interval_sums":[281192,262842,264310],"interval_residues":[70,70,70],"display_cycle":[70,70,70],"intervals":[{"from_index":291,"to_index":1027,"sum":281192,"residue":70},{"from_index":1027,"to_index":1763,"sum":262842,"residue":70},{"from_index":1763,"to_index":291,"sum":264310,"residue":70}],"minimal_cycle":[70],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[291,1027],"circle_positions":734,"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":[292,1028,1764],"clock_positions":[292,1028,1764],"native_values":[417,417,50],"rotation_degrees":47.608695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,417,50],"beta":{"interval_sums":[281072,262722,264924],"interval_residues":[684,684,684],"display_cycle":[684,684,684],"intervals":[{"from_index":292,"to_index":1028,"sum":281072,"residue":684},{"from_index":1028,"to_index":1764,"sum":262722,"residue":684},{"from_index":1764,"to_index":292,"sum":264924,"residue":684}],"minimal_cycle":[684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":684,"start_interval_clock_positions":[292,1028],"circle_positions":734,"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":[293,1029,1765],"clock_positions":[293,1029,1765],"native_values":[347,714,347],"rotation_degrees":47.77173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,714,347],"beta":{"interval_sums":[281142,262058,264994],"interval_residues":[20,20,20],"display_cycle":[20,20,20],"intervals":[{"from_index":293,"to_index":1029,"sum":281142,"residue":20},{"from_index":1029,"to_index":1765,"sum":262058,"residue":20},{"from_index":1765,"to_index":293,"sum":264994,"residue":20}],"minimal_cycle":[20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":20,"start_interval_clock_positions":[293,1029],"circle_positions":734,"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":[294,1030,1766],"clock_positions":[294,1030,1766],"native_values":[30,397,397],"rotation_degrees":47.93478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[30,397,397],"beta":{"interval_sums":[281826,262008,264944],"interval_residues":[704,704,704],"display_cycle":[704,704,704],"intervals":[{"from_index":294,"to_index":1030,"sum":281826,"residue":704},{"from_index":1030,"to_index":1766,"sum":262008,"residue":704},{"from_index":1766,"to_index":294,"sum":264944,"residue":704}],"minimal_cycle":[704],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":704,"start_interval_clock_positions":[294,1030],"circle_positions":734,"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":[295,1031,1767],"clock_positions":[295,1031,1767],"native_values":[377,377,10],"rotation_degrees":48.09782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,377,10],"beta":{"interval_sums":[281846,262028,264964],"interval_residues":[724,724,724],"display_cycle":[724,724,724],"intervals":[{"from_index":295,"to_index":1031,"sum":281846,"residue":724},{"from_index":1031,"to_index":1767,"sum":262028,"residue":724},{"from_index":1767,"to_index":295,"sum":264964,"residue":724}],"minimal_cycle":[724],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":724,"start_interval_clock_positions":[295,1031],"circle_positions":734,"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":[296,1032,1768],"clock_positions":[296,1032,1768],"native_values":[407,40,407],"rotation_degrees":48.26086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[407,40,407],"beta":{"interval_sums":[281816,261998,264934],"interval_residues":[694,694,694],"display_cycle":[694,694,694],"intervals":[{"from_index":296,"to_index":1032,"sum":281816,"residue":694},{"from_index":1032,"to_index":1768,"sum":261998,"residue":694},{"from_index":1768,"to_index":296,"sum":264934,"residue":694}],"minimal_cycle":[694],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":694,"start_interval_clock_positions":[296,1032],"circle_positions":734,"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":[297,1033,1769],"clock_positions":[297,1033,1769],"native_values":[50,417,417],"rotation_degrees":48.42391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[50,417,417],"beta":{"interval_sums":[281806,261988,264924],"interval_residues":[684,684,684],"display_cycle":[684,684,684],"intervals":[{"from_index":297,"to_index":1033,"sum":281806,"residue":684},{"from_index":1033,"to_index":1769,"sum":261988,"residue":684},{"from_index":1769,"to_index":297,"sum":264924,"residue":684}],"minimal_cycle":[684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":684,"start_interval_clock_positions":[297,1033],"circle_positions":734,"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":[298,1034,1770],"clock_positions":[298,1034,1770],"native_values":[457,457,90],"rotation_degrees":48.58695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,457,90],"beta":{"interval_sums":[281766,261948,264884],"interval_residues":[644,644,644],"display_cycle":[644,644,644],"intervals":[{"from_index":298,"to_index":1034,"sum":281766,"residue":644},{"from_index":1034,"to_index":1770,"sum":261948,"residue":644},{"from_index":1770,"to_index":298,"sum":264884,"residue":644}],"minimal_cycle":[644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[298,1034],"circle_positions":734,"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":[299,1035,1771],"clock_positions":[299,1035,1771],"native_values":[507,140,507],"rotation_degrees":48.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[507,140,507],"beta":{"interval_sums":[281716,261898,264834],"interval_residues":[594,594,594],"display_cycle":[594,594,594],"intervals":[{"from_index":299,"to_index":1035,"sum":281716,"residue":594},{"from_index":1035,"to_index":1771,"sum":261898,"residue":594},{"from_index":1771,"to_index":299,"sum":264834,"residue":594}],"minimal_cycle":[594],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":594,"start_interval_clock_positions":[299,1035],"circle_positions":734,"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":[300,1036,1772],"clock_positions":[300,1036,1772],"native_values":[230,597,597],"rotation_degrees":48.91304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[230,597,597],"beta":{"interval_sums":[281626,261808,264744],"interval_residues":[504,504,504],"display_cycle":[504,504,504],"intervals":[{"from_index":300,"to_index":1036,"sum":281626,"residue":504},{"from_index":1036,"to_index":1772,"sum":261808,"residue":504},{"from_index":1772,"to_index":300,"sum":264744,"residue":504}],"minimal_cycle":[504],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":504,"start_interval_clock_positions":[300,1036],"circle_positions":734,"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":[301,1037,1773],"clock_positions":[301,1037,1773],"native_values":[3,3,370],"rotation_degrees":49.07608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,3,370],"beta":{"interval_sums":[282220,262402,264604],"interval_residues":[364,364,364],"display_cycle":[364,364,364],"intervals":[{"from_index":301,"to_index":1037,"sum":282220,"residue":364},{"from_index":1037,"to_index":1773,"sum":262402,"residue":364},{"from_index":1773,"to_index":301,"sum":264604,"residue":364}],"minimal_cycle":[364],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":364,"start_interval_clock_positions":[301,1037],"circle_positions":734,"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":[302,1038,1774],"clock_positions":[302,1038,1774],"native_values":[233,600,233],"rotation_degrees":49.23913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,600,233],"beta":{"interval_sums":[281990,262172,264374],"interval_residues":[134,134,134],"display_cycle":[134,134,134],"intervals":[{"from_index":302,"to_index":1038,"sum":281990,"residue":134},{"from_index":1038,"to_index":1774,"sum":262172,"residue":134},{"from_index":1774,"to_index":302,"sum":264374,"residue":134}],"minimal_cycle":[134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[302,1038],"circle_positions":734,"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":[303,1039,1775],"clock_positions":[303,1039,1775],"native_values":[236,603,603],"rotation_degrees":49.40217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[236,603,603],"beta":{"interval_sums":[282354,261802,264004],"interval_residues":[498,498,498],"display_cycle":[498,498,498],"intervals":[{"from_index":303,"to_index":1039,"sum":282354,"residue":498},{"from_index":1039,"to_index":1775,"sum":261802,"residue":498},{"from_index":1775,"to_index":303,"sum":264004,"residue":498}],"minimal_cycle":[498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[303,1039],"circle_positions":734,"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":[304,1040,1776],"clock_positions":[304,1040,1776],"native_values":[469,469,102],"rotation_degrees":49.56521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,469,102],"beta":{"interval_sums":[282488,261936,264138],"interval_residues":[632,632,632],"display_cycle":[632,632,632],"intervals":[{"from_index":304,"to_index":1040,"sum":282488,"residue":632},{"from_index":1040,"to_index":1776,"sum":261936,"residue":632},{"from_index":1776,"to_index":304,"sum":264138,"residue":632}],"minimal_cycle":[632],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":632,"start_interval_clock_positions":[304,1040],"circle_positions":734,"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":[305,1041,1777],"clock_positions":[305,1041,1777],"native_values":[705,338,705],"rotation_degrees":49.72826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,338,705],"beta":{"interval_sums":[282252,261700,263902],"interval_residues":[396,396,396],"display_cycle":[396,396,396],"intervals":[{"from_index":305,"to_index":1041,"sum":282252,"residue":396},{"from_index":1041,"to_index":1777,"sum":261700,"residue":396},{"from_index":1777,"to_index":305,"sum":263902,"residue":396}],"minimal_cycle":[396],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":396,"start_interval_clock_positions":[305,1041],"circle_positions":734,"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":[306,1042,1778],"clock_positions":[306,1042,1778],"native_values":[440,73,73],"rotation_degrees":49.891304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[440,73,73],"beta":{"interval_sums":[282150,262332,264534],"interval_residues":[294,294,294],"display_cycle":[294,294,294],"intervals":[{"from_index":306,"to_index":1042,"sum":282150,"residue":294},{"from_index":1042,"to_index":1778,"sum":262332,"residue":294},{"from_index":1778,"to_index":306,"sum":264534,"residue":294}],"minimal_cycle":[294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[306,1042],"circle_positions":734,"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":[307,1043,1779],"clock_positions":[307,1043,1779],"native_values":[411,411,44],"rotation_degrees":50.05434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[411,411,44],"beta":{"interval_sums":[281812,261994,264930],"interval_residues":[690,690,690],"display_cycle":[690,690,690],"intervals":[{"from_index":307,"to_index":1043,"sum":281812,"residue":690},{"from_index":1043,"to_index":1779,"sum":261994,"residue":690},{"from_index":1779,"to_index":307,"sum":264930,"residue":690}],"minimal_cycle":[690],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":690,"start_interval_clock_positions":[307,1043],"circle_positions":734,"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":[308,1044,1780],"clock_positions":[308,1044,1780],"native_values":[117,484,117],"rotation_degrees":50.21739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,484,117],"beta":{"interval_sums":[282106,261554,265224],"interval_residues":[250,250,250],"display_cycle":[250,250,250],"intervals":[{"from_index":308,"to_index":1044,"sum":282106,"residue":250},{"from_index":1044,"to_index":1780,"sum":261554,"residue":250},{"from_index":1780,"to_index":308,"sum":265224,"residue":250}],"minimal_cycle":[250],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":250,"start_interval_clock_positions":[308,1044],"circle_positions":734,"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":[309,1045,1781],"clock_positions":[309,1045,1781],"native_values":[528,161,161],"rotation_degrees":50.380434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[528,161,161],"beta":{"interval_sums":[282062,261510,265180],"interval_residues":[206,206,206],"display_cycle":[206,206,206],"intervals":[{"from_index":309,"to_index":1045,"sum":282062,"residue":206},{"from_index":1045,"to_index":1781,"sum":261510,"residue":206},{"from_index":1781,"to_index":309,"sum":265180,"residue":206}],"minimal_cycle":[206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[309,1045],"circle_positions":734,"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":[310,1046,1782],"clock_positions":[310,1046,1782],"native_values":[645,645,278],"rotation_degrees":50.54347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[645,645,278],"beta":{"interval_sums":[281578,261026,265430],"interval_residues":[456,456,456],"display_cycle":[456,456,456],"intervals":[{"from_index":310,"to_index":1046,"sum":281578,"residue":456},{"from_index":1046,"to_index":1782,"sum":261026,"residue":456},{"from_index":1782,"to_index":310,"sum":265430,"residue":456}],"minimal_cycle":[456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[310,1046],"circle_positions":734,"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":[311,1047,1783],"clock_positions":[311,1047,1783],"native_values":[439,72,439],"rotation_degrees":50.70652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[439,72,439],"beta":{"interval_sums":[281784,261232,265636],"interval_residues":[662,662,662],"display_cycle":[662,662,662],"intervals":[{"from_index":311,"to_index":1047,"sum":281784,"residue":662},{"from_index":1047,"to_index":1783,"sum":261232,"residue":662},{"from_index":1783,"to_index":311,"sum":265636,"residue":662}],"minimal_cycle":[662],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":662,"start_interval_clock_positions":[311,1047],"circle_positions":734,"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":[312,1048,1784],"clock_positions":[312,1048,1784],"native_values":[350,717,717],"rotation_degrees":50.869565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[350,717,717],"beta":{"interval_sums":[281506,260954,265358],"interval_residues":[384,384,384],"display_cycle":[384,384,384],"intervals":[{"from_index":312,"to_index":1048,"sum":281506,"residue":384},{"from_index":1048,"to_index":1784,"sum":260954,"residue":384},{"from_index":1784,"to_index":312,"sum":265358,"residue":384}],"minimal_cycle":[384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[312,1048],"circle_positions":734,"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":[313,1049,1785],"clock_positions":[313,1049,1785],"native_values":[55,55,422],"rotation_degrees":51.03260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,55,422],"beta":{"interval_sums":[282168,261616,265286],"interval_residues":[312,312,312],"display_cycle":[312,312,312],"intervals":[{"from_index":313,"to_index":1049,"sum":282168,"residue":312},{"from_index":1049,"to_index":1785,"sum":261616,"residue":312},{"from_index":1785,"to_index":313,"sum":265286,"residue":312}],"minimal_cycle":[312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[313,1049],"circle_positions":734,"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":[314,1050,1786],"clock_positions":[314,1050,1786],"native_values":[405,38,405],"rotation_degrees":51.19565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,38,405],"beta":{"interval_sums":[281818,262000,264936],"interval_residues":[696,696,696],"display_cycle":[696,696,696],"intervals":[{"from_index":314,"to_index":1050,"sum":281818,"residue":696},{"from_index":1050,"to_index":1786,"sum":262000,"residue":696},{"from_index":1786,"to_index":314,"sum":264936,"residue":696}],"minimal_cycle":[696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":696,"start_interval_clock_positions":[314,1050],"circle_positions":734,"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":[315,1051,1787],"clock_positions":[315,1051,1787],"native_values":[460,93,93],"rotation_degrees":51.358695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[460,93,93],"beta":{"interval_sums":[281396,262312,265248],"interval_residues":[274,274,274],"display_cycle":[274,274,274],"intervals":[{"from_index":315,"to_index":1051,"sum":281396,"residue":274},{"from_index":1051,"to_index":1787,"sum":262312,"residue":274},{"from_index":1787,"to_index":315,"sum":265248,"residue":274}],"minimal_cycle":[274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":274,"start_interval_clock_positions":[315,1051],"circle_positions":734,"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":[316,1052,1788],"clock_positions":[316,1052,1788],"native_values":[131,131,498],"rotation_degrees":51.52173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,131,498],"beta":{"interval_sums":[281358,262274,265210],"interval_residues":[236,236,236],"display_cycle":[236,236,236],"intervals":[{"from_index":316,"to_index":1052,"sum":281358,"residue":236},{"from_index":1052,"to_index":1788,"sum":262274,"residue":236},{"from_index":1788,"to_index":316,"sum":265210,"residue":236}],"minimal_cycle":[236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[316,1052],"circle_positions":734,"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":[317,1053,1789],"clock_positions":[317,1053,1789],"native_values":[591,224,591],"rotation_degrees":51.68478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[591,224,591],"beta":{"interval_sums":[280898,262548,264750],"interval_residues":[510,510,510],"display_cycle":[510,510,510],"intervals":[{"from_index":317,"to_index":1053,"sum":280898,"residue":510},{"from_index":1053,"to_index":1789,"sum":262548,"residue":510},{"from_index":1789,"to_index":317,"sum":264750,"residue":510}],"minimal_cycle":[510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[317,1053],"circle_positions":734,"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":[318,1054,1790],"clock_positions":[318,1054,1790],"native_values":[722,355,355],"rotation_degrees":51.84782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[722,355,355],"beta":{"interval_sums":[280400,262784,264986],"interval_residues":[12,12,12],"display_cycle":[12,12,12],"intervals":[{"from_index":318,"to_index":1054,"sum":280400,"residue":12},{"from_index":1054,"to_index":1790,"sum":262784,"residue":12},{"from_index":1790,"to_index":318,"sum":264986,"residue":12}],"minimal_cycle":[12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":12,"start_interval_clock_positions":[318,1054],"circle_positions":734,"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":[319,1055,1791],"clock_positions":[319,1055,1791],"native_values":[579,579,212],"rotation_degrees":52.01086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[579,579,212],"beta":{"interval_sums":[280176,262560,265496],"interval_residues":[522,522,522],"display_cycle":[522,522,522],"intervals":[{"from_index":319,"to_index":1055,"sum":280176,"residue":522},{"from_index":1055,"to_index":1791,"sum":262560,"residue":522},{"from_index":1791,"to_index":319,"sum":265496,"residue":522}],"minimal_cycle":[522],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":522,"start_interval_clock_positions":[319,1055],"circle_positions":734,"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":[320,1056,1792],"clock_positions":[320,1056,1792],"native_values":[567,200,567],"rotation_degrees":52.17391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,200,567],"beta":{"interval_sums":[280188,262572,265508],"interval_residues":[534,534,534],"display_cycle":[534,534,534],"intervals":[{"from_index":320,"to_index":1056,"sum":280188,"residue":534},{"from_index":1056,"to_index":1792,"sum":262572,"residue":534},{"from_index":1792,"to_index":320,"sum":265508,"residue":534}],"minimal_cycle":[534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[320,1056],"circle_positions":734,"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":[321,1057,1793],"clock_positions":[321,1057,1793],"native_values":[412,45,45],"rotation_degrees":52.33695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[412,45,45],"beta":{"interval_sums":[279976,263094,266030],"interval_residues":[322,322,322],"display_cycle":[322,322,322],"intervals":[{"from_index":321,"to_index":1057,"sum":279976,"residue":322},{"from_index":1057,"to_index":1793,"sum":263094,"residue":322},{"from_index":1793,"to_index":321,"sum":266030,"residue":322}],"minimal_cycle":[322],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":322,"start_interval_clock_positions":[321,1057],"circle_positions":734,"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":[322,1058,1794],"clock_positions":[322,1058,1794],"native_values":[245,245,612],"rotation_degrees":52.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[245,245,612],"beta":{"interval_sums":[279776,262894,265830],"interval_residues":[122,122,122],"display_cycle":[122,122,122],"intervals":[{"from_index":322,"to_index":1058,"sum":279776,"residue":122},{"from_index":1058,"to_index":1794,"sum":262894,"residue":122},{"from_index":1794,"to_index":322,"sum":265830,"residue":122}],"minimal_cycle":[122],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[322,1058],"circle_positions":734,"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":[323,1059,1795],"clock_positions":[323,1059,1795],"native_values":[657,290,657],"rotation_degrees":52.66304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,290,657],"beta":{"interval_sums":[279364,263216,265418],"interval_residues":[444,444,444],"display_cycle":[444,444,444],"intervals":[{"from_index":323,"to_index":1059,"sum":279364,"residue":444},{"from_index":1059,"to_index":1795,"sum":263216,"residue":444},{"from_index":1795,"to_index":323,"sum":265418,"residue":444}],"minimal_cycle":[444],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[323,1059],"circle_positions":734,"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":[324,1060,1796],"clock_positions":[324,1060,1796],"native_values":[168,535,535],"rotation_degrees":52.82608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[168,535,535],"beta":{"interval_sums":[279486,263338,265540],"interval_residues":[566,566,566],"display_cycle":[566,566,566],"intervals":[{"from_index":324,"to_index":1060,"sum":279486,"residue":566},{"from_index":1060,"to_index":1796,"sum":263338,"residue":566},{"from_index":1796,"to_index":324,"sum":265540,"residue":566}],"minimal_cycle":[566],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":566,"start_interval_clock_positions":[324,1060],"circle_positions":734,"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":[325,1061,1797],"clock_positions":[325,1061,1797],"native_values":[91,91,458],"rotation_degrees":52.98913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[91,91,458],"beta":{"interval_sums":[279930,263782,265250],"interval_residues":[276,276,276],"display_cycle":[276,276,276],"intervals":[{"from_index":325,"to_index":1061,"sum":279930,"residue":276},{"from_index":1061,"to_index":1797,"sum":263782,"residue":276},{"from_index":1797,"to_index":325,"sum":265250,"residue":276}],"minimal_cycle":[276],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":276,"start_interval_clock_positions":[325,1061],"circle_positions":734,"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":[326,1062,1798],"clock_positions":[326,1062,1798],"native_values":[259,626,259],"rotation_degrees":53.15217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,626,259],"beta":{"interval_sums":[279762,263614,265082],"interval_residues":[108,108,108],"display_cycle":[108,108,108],"intervals":[{"from_index":326,"to_index":1062,"sum":279762,"residue":108},{"from_index":1062,"to_index":1798,"sum":263614,"residue":108},{"from_index":1798,"to_index":326,"sum":265082,"residue":108}],"minimal_cycle":[108],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":108,"start_interval_clock_positions":[326,1062],"circle_positions":734,"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":[327,1063,1799],"clock_positions":[327,1063,1799],"native_values":[350,717,717],"rotation_degrees":53.31521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[350,717,717],"beta":{"interval_sums":[280038,263156,264624],"interval_residues":[384,384,384],"display_cycle":[384,384,384],"intervals":[{"from_index":327,"to_index":1063,"sum":280038,"residue":384},{"from_index":1063,"to_index":1799,"sum":263156,"residue":384},{"from_index":1799,"to_index":327,"sum":264624,"residue":384}],"minimal_cycle":[384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[327,1063],"circle_positions":734,"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":[328,1064,1800],"clock_positions":[328,1064,1800],"native_values":[609,609,242],"rotation_degrees":53.47826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[609,609,242],"beta":{"interval_sums":[280146,263264,264732],"interval_residues":[492,492,492],"display_cycle":[492,492,492],"intervals":[{"from_index":328,"to_index":1064,"sum":280146,"residue":492},{"from_index":1064,"to_index":1800,"sum":263264,"residue":492},{"from_index":1800,"to_index":328,"sum":264732,"residue":492}],"minimal_cycle":[492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":492,"start_interval_clock_positions":[328,1064],"circle_positions":734,"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":[329,1065,1801],"clock_positions":[329,1065,1801],"native_values":[225,592,225],"rotation_degrees":53.641304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[225,592,225],"beta":{"interval_sums":[280530,262914,265116],"interval_residues":[142,142,142],"display_cycle":[142,142,142],"intervals":[{"from_index":329,"to_index":1065,"sum":280530,"residue":142},{"from_index":1065,"to_index":1801,"sum":262914,"residue":142},{"from_index":1801,"to_index":329,"sum":265116,"residue":142}],"minimal_cycle":[142],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":142,"start_interval_clock_positions":[329,1065],"circle_positions":734,"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":[330,1066,1802],"clock_positions":[330,1066,1802],"native_values":[100,467,467],"rotation_degrees":53.80434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[100,467,467],"beta":{"interval_sums":[281022,262672,264874],"interval_residues":[634,634,634],"display_cycle":[634,634,634],"intervals":[{"from_index":330,"to_index":1066,"sum":281022,"residue":634},{"from_index":1066,"to_index":1802,"sum":262672,"residue":634},{"from_index":1802,"to_index":330,"sum":264874,"residue":634}],"minimal_cycle":[634],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":634,"start_interval_clock_positions":[330,1066],"circle_positions":734,"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":[331,1067,1803],"clock_positions":[331,1067,1803],"native_values":[325,325,692],"rotation_degrees":53.96739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,325,692],"beta":{"interval_sums":[281164,262814,264282],"interval_residues":[42,42,42],"display_cycle":[42,42,42],"intervals":[{"from_index":331,"to_index":1067,"sum":281164,"residue":42},{"from_index":1067,"to_index":1803,"sum":262814,"residue":42},{"from_index":1803,"to_index":331,"sum":264282,"residue":42}],"minimal_cycle":[42],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":42,"start_interval_clock_positions":[331,1067],"circle_positions":734,"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":[332,1068,1804],"clock_positions":[332,1068,1804],"native_values":[425,58,425],"rotation_degrees":54.130434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[425,58,425],"beta":{"interval_sums":[281064,263448,264182],"interval_residues":[676,676,676],"display_cycle":[676,676,676],"intervals":[{"from_index":332,"to_index":1068,"sum":281064,"residue":676},{"from_index":1068,"to_index":1804,"sum":263448,"residue":676},{"from_index":1804,"to_index":332,"sum":264182,"residue":676}],"minimal_cycle":[676],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":676,"start_interval_clock_positions":[332,1068],"circle_positions":734,"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":[333,1069,1805],"clock_positions":[333,1069,1805],"native_values":[16,383,383],"rotation_degrees":54.29347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[16,383,383],"beta":{"interval_sums":[281106,263490,264224],"interval_residues":[718,718,718],"display_cycle":[718,718,718],"intervals":[{"from_index":333,"to_index":1069,"sum":281106,"residue":718},{"from_index":1069,"to_index":1805,"sum":263490,"residue":718},{"from_index":1805,"to_index":333,"sum":264224,"residue":718}],"minimal_cycle":[718],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":718,"start_interval_clock_positions":[333,1069],"circle_positions":734,"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":[334,1070,1806],"clock_positions":[334,1070,1806],"native_values":[441,441,74],"rotation_degrees":54.45652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,441,74],"beta":{"interval_sums":[281048,263432,264166],"interval_residues":[660,660,660],"display_cycle":[660,660,660],"intervals":[{"from_index":334,"to_index":1070,"sum":281048,"residue":660},{"from_index":1070,"to_index":1806,"sum":263432,"residue":660},{"from_index":1806,"to_index":334,"sum":264166,"residue":660}],"minimal_cycle":[660],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":660,"start_interval_clock_positions":[334,1070],"circle_positions":734,"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":[335,1071,1807],"clock_positions":[335,1071,1807],"native_values":[457,90,457],"rotation_degrees":54.619565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,90,457],"beta":{"interval_sums":[281032,263416,264150],"interval_residues":[644,644,644],"display_cycle":[644,644,644],"intervals":[{"from_index":335,"to_index":1071,"sum":281032,"residue":644},{"from_index":1071,"to_index":1807,"sum":263416,"residue":644},{"from_index":1807,"to_index":335,"sum":264150,"residue":644}],"minimal_cycle":[644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[335,1071],"circle_positions":734,"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":[336,1072,1808],"clock_positions":[336,1072,1808],"native_values":[164,531,531],"rotation_degrees":54.78260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[164,531,531],"beta":{"interval_sums":[280958,263342,264076],"interval_residues":[570,570,570],"display_cycle":[570,570,570],"intervals":[{"from_index":336,"to_index":1072,"sum":280958,"residue":570},{"from_index":1072,"to_index":1808,"sum":263342,"residue":570},{"from_index":1808,"to_index":336,"sum":264076,"residue":570}],"minimal_cycle":[570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[336,1072],"circle_positions":734,"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":[337,1073,1809],"clock_positions":[337,1073,1809],"native_values":[621,621,254],"rotation_degrees":54.94565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[621,621,254],"beta":{"interval_sums":[280868,263252,263986],"interval_residues":[480,480,480],"display_cycle":[480,480,480],"intervals":[{"from_index":337,"to_index":1073,"sum":280868,"residue":480},{"from_index":1073,"to_index":1809,"sum":263252,"residue":480},{"from_index":1809,"to_index":337,"sum":263986,"residue":480}],"minimal_cycle":[480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[337,1073],"circle_positions":734,"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":[338,1074,1810],"clock_positions":[338,1074,1810],"native_values":[51,418,51],"rotation_degrees":55.108695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,418,51],"beta":{"interval_sums":[281438,263088,264556],"interval_residues":[316,316,316],"display_cycle":[316,316,316],"intervals":[{"from_index":338,"to_index":1074,"sum":281438,"residue":316},{"from_index":1074,"to_index":1810,"sum":263088,"residue":316},{"from_index":1810,"to_index":338,"sum":264556,"residue":316}],"minimal_cycle":[316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":316,"start_interval_clock_positions":[338,1074],"circle_positions":734,"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":[339,1075,1811],"clock_positions":[339,1075,1811],"native_values":[672,305,305],"rotation_degrees":55.27173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[672,305,305],"beta":{"interval_sums":[281184,262834,264302],"interval_residues":[62,62,62],"display_cycle":[62,62,62],"intervals":[{"from_index":339,"to_index":1075,"sum":281184,"residue":62},{"from_index":1075,"to_index":1811,"sum":262834,"residue":62},{"from_index":1811,"to_index":339,"sum":264302,"residue":62}],"minimal_cycle":[62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[339,1075],"circle_positions":734,"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":[340,1076,1812],"clock_positions":[340,1076,1812],"native_values":[723,723,356],"rotation_degrees":55.43478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[723,723,356],"beta":{"interval_sums":[280766,262416,264618],"interval_residues":[378,378,378],"display_cycle":[378,378,378],"intervals":[{"from_index":340,"to_index":1076,"sum":280766,"residue":378},{"from_index":1076,"to_index":1812,"sum":262416,"residue":378},{"from_index":1812,"to_index":340,"sum":264618,"residue":378}],"minimal_cycle":[378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[340,1076],"circle_positions":734,"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":[341,1077,1813],"clock_positions":[341,1077,1813],"native_values":[661,294,661],"rotation_degrees":55.59782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[661,294,661],"beta":{"interval_sums":[280828,262478,264680],"interval_residues":[440,440,440],"display_cycle":[440,440,440],"intervals":[{"from_index":341,"to_index":1077,"sum":280828,"residue":440},{"from_index":1077,"to_index":1813,"sum":262478,"residue":440},{"from_index":1813,"to_index":341,"sum":264680,"residue":440}],"minimal_cycle":[440],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[341,1077],"circle_positions":734,"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":[342,1078,1814],"clock_positions":[342,1078,1814],"native_values":[650,283,283],"rotation_degrees":55.76086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[650,283,283],"beta":{"interval_sums":[280472,262856,265058],"interval_residues":[84,84,84],"display_cycle":[84,84,84],"intervals":[{"from_index":342,"to_index":1078,"sum":280472,"residue":84},{"from_index":1078,"to_index":1814,"sum":262856,"residue":84},{"from_index":1814,"to_index":342,"sum":265058,"residue":84}],"minimal_cycle":[84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[342,1078],"circle_positions":734,"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":[343,1079,1815],"clock_positions":[343,1079,1815],"native_values":[577,577,210],"rotation_degrees":55.92391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[577,577,210],"beta":{"interval_sums":[280178,262562,265498],"interval_residues":[524,524,524],"display_cycle":[524,524,524],"intervals":[{"from_index":343,"to_index":1079,"sum":280178,"residue":524},{"from_index":1079,"to_index":1815,"sum":262562,"residue":524},{"from_index":1815,"to_index":343,"sum":265498,"residue":524}],"minimal_cycle":[524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[343,1079],"circle_positions":734,"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":[344,1080,1816],"clock_positions":[344,1080,1816],"native_values":[493,126,493],"rotation_degrees":56.08695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[493,126,493],"beta":{"interval_sums":[280262,262646,265582],"interval_residues":[608,608,608],"display_cycle":[608,608,608],"intervals":[{"from_index":344,"to_index":1080,"sum":280262,"residue":608},{"from_index":1080,"to_index":1816,"sum":262646,"residue":608},{"from_index":1816,"to_index":344,"sum":265582,"residue":608}],"minimal_cycle":[608],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":608,"start_interval_clock_positions":[344,1080],"circle_positions":734,"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":[345,1081,1817],"clock_positions":[345,1081,1817],"native_values":[336,703,703],"rotation_degrees":56.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[336,703,703],"beta":{"interval_sums":[280052,262436,265372],"interval_residues":[398,398,398],"display_cycle":[398,398,398],"intervals":[{"from_index":345,"to_index":1081,"sum":280052,"residue":398},{"from_index":1081,"to_index":1817,"sum":262436,"residue":398},{"from_index":1817,"to_index":345,"sum":265372,"residue":398}],"minimal_cycle":[398],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":398,"start_interval_clock_positions":[345,1081],"circle_positions":734,"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":[346,1082,1818],"clock_positions":[346,1082,1818],"native_values":[95,95,462],"rotation_degrees":56.41304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,95,462],"beta":{"interval_sums":[280660,263044,265246],"interval_residues":[272,272,272],"display_cycle":[272,272,272],"intervals":[{"from_index":346,"to_index":1082,"sum":280660,"residue":272},{"from_index":1082,"to_index":1818,"sum":263044,"residue":272},{"from_index":1818,"to_index":346,"sum":265246,"residue":272}],"minimal_cycle":[272],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":272,"start_interval_clock_positions":[346,1082],"circle_positions":734,"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":[347,1083,1819],"clock_positions":[347,1083,1819],"native_values":[431,64,431],"rotation_degrees":56.57608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[431,64,431],"beta":{"interval_sums":[280324,263442,264910],"interval_residues":[670,670,670],"display_cycle":[670,670,670],"intervals":[{"from_index":347,"to_index":1083,"sum":280324,"residue":670},{"from_index":1083,"to_index":1819,"sum":263442,"residue":670},{"from_index":1819,"to_index":347,"sum":264910,"residue":670}],"minimal_cycle":[670],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":670,"start_interval_clock_positions":[347,1083],"circle_positions":734,"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":[348,1084,1820],"clock_positions":[348,1084,1820],"native_values":[526,159,159],"rotation_degrees":56.73913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[526,159,159],"beta":{"interval_sums":[279862,263714,265182],"interval_residues":[208,208,208],"display_cycle":[208,208,208],"intervals":[{"from_index":348,"to_index":1084,"sum":279862,"residue":208},{"from_index":1084,"to_index":1820,"sum":263714,"residue":208},{"from_index":1820,"to_index":348,"sum":265182,"residue":208}],"minimal_cycle":[208],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[348,1084],"circle_positions":734,"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":[349,1085,1821],"clock_positions":[349,1085,1821],"native_values":[223,223,590],"rotation_degrees":56.90217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,223,590],"beta":{"interval_sums":[279798,263650,265118],"interval_residues":[144,144,144],"display_cycle":[144,144,144],"intervals":[{"from_index":349,"to_index":1085,"sum":279798,"residue":144},{"from_index":1085,"to_index":1821,"sum":263650,"residue":144},{"from_index":1821,"to_index":349,"sum":265118,"residue":144}],"minimal_cycle":[144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[349,1085],"circle_positions":734,"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":[350,1086,1822],"clock_positions":[350,1086,1822],"native_values":[15,382,15],"rotation_degrees":57.06521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[15,382,15],"beta":{"interval_sums":[280006,263858,265326],"interval_residues":[352,352,352],"display_cycle":[352,352,352],"intervals":[{"from_index":350,"to_index":1086,"sum":280006,"residue":352},{"from_index":1086,"to_index":1822,"sum":263858,"residue":352},{"from_index":1822,"to_index":350,"sum":265326,"residue":352}],"minimal_cycle":[352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[350,1086],"circle_positions":734,"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":[351,1087,1823],"clock_positions":[351,1087,1823],"native_values":[238,605,605],"rotation_degrees":57.22826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[238,605,605],"beta":{"interval_sums":[280150,263268,264736],"interval_residues":[496,496,496],"display_cycle":[496,496,496],"intervals":[{"from_index":351,"to_index":1087,"sum":280150,"residue":496},{"from_index":1087,"to_index":1823,"sum":263268,"residue":496},{"from_index":1823,"to_index":351,"sum":264736,"residue":496}],"minimal_cycle":[496],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":496,"start_interval_clock_positions":[351,1087],"circle_positions":734,"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":[352,1088,1824],"clock_positions":[352,1088,1824],"native_values":[253,253,620],"rotation_degrees":57.391304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[253,253,620],"beta":{"interval_sums":[280502,263620,264354],"interval_residues":[114,114,114],"display_cycle":[114,114,114],"intervals":[{"from_index":352,"to_index":1088,"sum":280502,"residue":114},{"from_index":1088,"to_index":1824,"sum":263620,"residue":114},{"from_index":1824,"to_index":352,"sum":264354,"residue":114}],"minimal_cycle":[114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[352,1088],"circle_positions":734,"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":[353,1089,1825],"clock_positions":[353,1089,1825],"native_values":[491,124,491],"rotation_degrees":57.55434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[491,124,491],"beta":{"interval_sums":[280264,264116,264116],"interval_residues":[610,610,610],"display_cycle":[610,610,610],"intervals":[{"from_index":353,"to_index":1089,"sum":280264,"residue":610},{"from_index":1089,"to_index":1825,"sum":264116,"residue":610},{"from_index":1825,"to_index":353,"sum":264116,"residue":610}],"minimal_cycle":[610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[353,1089],"circle_positions":734,"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":[354,1090,1826],"clock_positions":[354,1090,1826],"native_values":[10,377,377],"rotation_degrees":57.71739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[10,377,377],"beta":{"interval_sums":[280378,264230,264230],"interval_residues":[724,724,724],"display_cycle":[724,724,724],"intervals":[{"from_index":354,"to_index":1090,"sum":280378,"residue":724},{"from_index":1090,"to_index":1826,"sum":264230,"residue":724},{"from_index":1826,"to_index":354,"sum":264230,"residue":724}],"minimal_cycle":[724],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":724,"start_interval_clock_positions":[354,1090],"circle_positions":734,"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":[355,1091,1827],"clock_positions":[355,1091,1827],"native_values":[501,501,134],"rotation_degrees":57.880434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[501,501,134],"beta":{"interval_sums":[280254,264106,264106],"interval_residues":[600,600,600],"display_cycle":[600,600,600],"intervals":[{"from_index":355,"to_index":1091,"sum":280254,"residue":600},{"from_index":1091,"to_index":1827,"sum":264106,"residue":600},{"from_index":1827,"to_index":355,"sum":264106,"residue":600}],"minimal_cycle":[600],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":600,"start_interval_clock_positions":[355,1091],"circle_positions":734,"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":[356,1092,1828],"clock_positions":[356,1092,1828],"native_values":[511,144,511],"rotation_degrees":58.04347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[511,144,511],"beta":{"interval_sums":[280244,264096,264096],"interval_residues":[590,590,590],"display_cycle":[590,590,590],"intervals":[{"from_index":356,"to_index":1092,"sum":280244,"residue":590},{"from_index":1092,"to_index":1828,"sum":264096,"residue":590},{"from_index":1828,"to_index":356,"sum":264096,"residue":590}],"minimal_cycle":[590],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":590,"start_interval_clock_positions":[356,1092],"circle_positions":734,"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":[357,1093,1829],"clock_positions":[357,1093,1829],"native_values":[278,645,645],"rotation_degrees":58.20652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,645,645],"beta":{"interval_sums":[280110,263962,263962],"interval_residues":[456,456,456],"display_cycle":[456,456,456],"intervals":[{"from_index":357,"to_index":1093,"sum":280110,"residue":456},{"from_index":1093,"to_index":1829,"sum":263962,"residue":456},{"from_index":1829,"to_index":357,"sum":263962,"residue":456}],"minimal_cycle":[456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[357,1093],"circle_positions":734,"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":[358,1094,1830],"clock_positions":[358,1094,1830],"native_values":[55,55,422],"rotation_degrees":58.369565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,55,422],"beta":{"interval_sums":[280700,264552,263818],"interval_residues":[312,312,312],"display_cycle":[312,312,312],"intervals":[{"from_index":358,"to_index":1094,"sum":280700,"residue":312},{"from_index":1094,"to_index":1830,"sum":264552,"residue":312},{"from_index":1830,"to_index":358,"sum":263818,"residue":312}],"minimal_cycle":[312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[358,1094],"circle_positions":734,"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":[359,1095,1831],"clock_positions":[359,1095,1831],"native_values":[333,700,333],"rotation_degrees":58.53260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,700,333],"beta":{"interval_sums":[280422,264274,263540],"interval_residues":[34,34,34],"display_cycle":[34,34,34],"intervals":[{"from_index":359,"to_index":1095,"sum":280422,"residue":34},{"from_index":1095,"to_index":1831,"sum":264274,"residue":34},{"from_index":1831,"to_index":359,"sum":263540,"residue":34}],"minimal_cycle":[34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[359,1095],"circle_positions":734,"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":[360,1096,1832],"clock_positions":[360,1096,1832],"native_values":[388,21,21],"rotation_degrees":58.69565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[388,21,21],"beta":{"interval_sums":[280734,264586,263852],"interval_residues":[346,346,346],"display_cycle":[346,346,346],"intervals":[{"from_index":360,"to_index":1096,"sum":280734,"residue":346},{"from_index":1096,"to_index":1832,"sum":264586,"residue":346},{"from_index":1832,"to_index":360,"sum":263852,"residue":346}],"minimal_cycle":[346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[360,1096],"circle_positions":734,"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":[361,1097,1833],"clock_positions":[361,1097,1833],"native_values":[721,721,354],"rotation_degrees":58.858695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[721,721,354],"beta":{"interval_sums":[280034,263886,263886],"interval_residues":[380,380,380],"display_cycle":[380,380,380],"intervals":[{"from_index":361,"to_index":1097,"sum":280034,"residue":380},{"from_index":1097,"to_index":1833,"sum":263886,"residue":380},{"from_index":1833,"to_index":361,"sum":263886,"residue":380}],"minimal_cycle":[380],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":380,"start_interval_clock_positions":[361,1097],"circle_positions":734,"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":[362,1098,1834],"clock_positions":[362,1098,1834],"native_values":[375,8,375],"rotation_degrees":59.02173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[375,8,375],"beta":{"interval_sums":[280380,264232,264232],"interval_residues":[726,726,726],"display_cycle":[726,726,726],"intervals":[{"from_index":362,"to_index":1098,"sum":280380,"residue":726},{"from_index":1098,"to_index":1834,"sum":264232,"residue":726},{"from_index":1834,"to_index":362,"sum":264232,"residue":726}],"minimal_cycle":[726],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":726,"start_interval_clock_positions":[362,1098],"circle_positions":734,"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":[363,1099,1835],"clock_positions":[363,1099,1835],"native_values":[362,729,729],"rotation_degrees":59.18478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[362,729,729],"beta":{"interval_sums":[280026,263878,263878],"interval_residues":[372,372,372],"display_cycle":[372,372,372],"intervals":[{"from_index":363,"to_index":1099,"sum":280026,"residue":372},{"from_index":1099,"to_index":1835,"sum":263878,"residue":372},{"from_index":1835,"to_index":363,"sum":263878,"residue":372}],"minimal_cycle":[372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":372,"start_interval_clock_positions":[363,1099],"circle_positions":734,"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":[364,1100,1836],"clock_positions":[364,1100,1836],"native_values":[3,3,370],"rotation_degrees":59.34782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,3,370],"beta":{"interval_sums":[280752,264604,263870],"interval_residues":[364,364,364],"display_cycle":[364,364,364],"intervals":[{"from_index":364,"to_index":1100,"sum":280752,"residue":364},{"from_index":1100,"to_index":1836,"sum":264604,"residue":364},{"from_index":1836,"to_index":364,"sum":263870,"residue":364}],"minimal_cycle":[364],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":364,"start_interval_clock_positions":[364,1100],"circle_positions":734,"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":[365,1101,1837],"clock_positions":[365,1101,1837],"native_values":[365,732,365],"rotation_degrees":59.51086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[365,732,365],"beta":{"interval_sums":[280390,264242,263508],"interval_residues":[2,2,2],"display_cycle":[2,2,2],"intervals":[{"from_index":365,"to_index":1101,"sum":280390,"residue":2},{"from_index":1101,"to_index":1837,"sum":264242,"residue":2},{"from_index":1837,"to_index":365,"sum":263508,"residue":2}],"minimal_cycle":[2],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[365,1101],"circle_positions":734,"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":[366,1102,1838],"clock_positions":[366,1102,1838],"native_values":[368,1,1],"rotation_degrees":59.67391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[368,1,1],"beta":{"interval_sums":[280754,264606,263872],"interval_residues":[366,366,366],"display_cycle":[366,366,366],"intervals":[{"from_index":366,"to_index":1102,"sum":280754,"residue":366},{"from_index":1102,"to_index":1838,"sum":264606,"residue":366},{"from_index":1838,"to_index":366,"sum":263872,"residue":366}],"minimal_cycle":[366],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":366,"start_interval_clock_positions":[366,1102],"circle_positions":734,"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":[367,1103,1839],"clock_positions":[367,1103,1839],"native_values":[733,733,366],"rotation_degrees":59.83695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[733,733,366],"beta":{"interval_sums":[280022,263874,263874],"interval_residues":[368,368,368],"display_cycle":[368,368,368],"intervals":[{"from_index":367,"to_index":1103,"sum":280022,"residue":368},{"from_index":1103,"to_index":1839,"sum":263874,"residue":368},{"from_index":1839,"to_index":367,"sum":263874,"residue":368}],"minimal_cycle":[368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":368,"start_interval_clock_positions":[367,1103],"circle_positions":734,"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":[368,1104,1840],"clock_positions":[368,1104,1840],"native_values":[367,734,367],"rotation_degrees":60.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[367,734,367],"beta":{"interval_sums":[280388,264240,264240],"interval_residues":[0,0,0],"display_cycle":[734,734,734],"intervals":[{"from_index":368,"to_index":1104,"sum":280388,"residue":0},{"from_index":1104,"to_index":1840,"sum":264240,"residue":0},{"from_index":1840,"to_index":368,"sum":264240,"residue":0}],"minimal_cycle":[0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":734,"start_interval_clock_positions":[368,1104],"circle_positions":734,"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":[369,1105,1841],"clock_positions":[369,1105,1841],"native_values":[366,733,733],"rotation_degrees":60.16304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[366,733,733],"beta":{"interval_sums":[280022,263874,263874],"interval_residues":[368,368,368],"display_cycle":[368,368,368],"intervals":[{"from_index":369,"to_index":1105,"sum":280022,"residue":368},{"from_index":1105,"to_index":1841,"sum":263874,"residue":368},{"from_index":1841,"to_index":369,"sum":263874,"residue":368}],"minimal_cycle":[368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":368,"start_interval_clock_positions":[369,1105],"circle_positions":734,"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":[370,1106,1842],"clock_positions":[370,1106,1842],"native_values":[733,733,366],"rotation_degrees":60.32608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[733,733,366],"beta":{"interval_sums":[280022,263874,263874],"interval_residues":[368,368,368],"display_cycle":[368,368,368],"intervals":[{"from_index":370,"to_index":1106,"sum":280022,"residue":368},{"from_index":1106,"to_index":1842,"sum":263874,"residue":368},{"from_index":1842,"to_index":370,"sum":263874,"residue":368}],"minimal_cycle":[368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":368,"start_interval_clock_positions":[370,1106],"circle_positions":734,"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":[371,1107,1843],"clock_positions":[371,1107,1843],"native_values":[365,732,365],"rotation_degrees":60.48913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[365,732,365],"beta":{"interval_sums":[280390,263508,264242],"interval_residues":[2,2,2],"display_cycle":[2,2,2],"intervals":[{"from_index":371,"to_index":1107,"sum":280390,"residue":2},{"from_index":1107,"to_index":1843,"sum":263508,"residue":2},{"from_index":1843,"to_index":371,"sum":264242,"residue":2}],"minimal_cycle":[2],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[371,1107],"circle_positions":734,"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":[372,1108,1844],"clock_positions":[372,1108,1844],"native_values":[364,731,731],"rotation_degrees":60.65217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[364,731,731],"beta":{"interval_sums":[280758,263142,263876],"interval_residues":[370,370,370],"display_cycle":[370,370,370],"intervals":[{"from_index":372,"to_index":1108,"sum":280758,"residue":370},{"from_index":1108,"to_index":1844,"sum":263142,"residue":370},{"from_index":1844,"to_index":372,"sum":263876,"residue":370}],"minimal_cycle":[370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[372,1108],"circle_positions":734,"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":[373,1109,1845],"clock_positions":[373,1109,1845],"native_values":[729,729,362],"rotation_degrees":60.81521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[729,729,362],"beta":{"interval_sums":[280760,263144,263878],"interval_residues":[372,372,372],"display_cycle":[372,372,372],"intervals":[{"from_index":373,"to_index":1109,"sum":280760,"residue":372},{"from_index":1109,"to_index":1845,"sum":263144,"residue":372},{"from_index":1845,"to_index":373,"sum":263878,"residue":372}],"minimal_cycle":[372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":372,"start_interval_clock_positions":[373,1109],"circle_positions":734,"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":[374,1110,1846],"clock_positions":[374,1110,1846],"native_values":[359,726,359],"rotation_degrees":60.97826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,726,359],"beta":{"interval_sums":[281130,262780,264248],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":374,"to_index":1110,"sum":281130,"residue":8},{"from_index":1110,"to_index":1846,"sum":262780,"residue":8},{"from_index":1846,"to_index":374,"sum":264248,"residue":8}],"minimal_cycle":[8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[374,1110],"circle_positions":734,"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":[375,1111,1847],"clock_positions":[375,1111,1847],"native_values":[354,721,721],"rotation_degrees":61.141304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[354,721,721],"beta":{"interval_sums":[281502,262418,263886],"interval_residues":[380,380,380],"display_cycle":[380,380,380],"intervals":[{"from_index":375,"to_index":1111,"sum":281502,"residue":380},{"from_index":1111,"to_index":1847,"sum":262418,"residue":380},{"from_index":1847,"to_index":375,"sum":263886,"residue":380}],"minimal_cycle":[380],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":380,"start_interval_clock_positions":[375,1111],"circle_positions":734,"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":[376,1112,1848],"clock_positions":[376,1112,1848],"native_values":[713,713,346],"rotation_degrees":61.30434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[713,713,346],"beta":{"interval_sums":[281510,262426,263894],"interval_residues":[388,388,388],"display_cycle":[388,388,388],"intervals":[{"from_index":376,"to_index":1112,"sum":281510,"residue":388},{"from_index":1112,"to_index":1848,"sum":262426,"residue":388},{"from_index":1848,"to_index":376,"sum":263894,"residue":388}],"minimal_cycle":[388],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":388,"start_interval_clock_positions":[376,1112],"circle_positions":734,"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":[377,1113,1849],"clock_positions":[377,1113,1849],"native_values":[333,700,333],"rotation_degrees":61.46739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,700,333],"beta":{"interval_sums":[281890,262072,264274],"interval_residues":[34,34,34],"display_cycle":[34,34,34],"intervals":[{"from_index":377,"to_index":1113,"sum":281890,"residue":34},{"from_index":1113,"to_index":1849,"sum":262072,"residue":34},{"from_index":1849,"to_index":377,"sum":264274,"residue":34}],"minimal_cycle":[34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[377,1113],"circle_positions":734,"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":[378,1114,1850],"clock_positions":[378,1114,1850],"native_values":[312,679,679],"rotation_degrees":61.630434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[312,679,679],"beta":{"interval_sums":[282278,261726,263928],"interval_residues":[422,422,422],"display_cycle":[422,422,422],"intervals":[{"from_index":378,"to_index":1114,"sum":282278,"residue":422},{"from_index":1114,"to_index":1850,"sum":261726,"residue":422},{"from_index":1850,"to_index":378,"sum":263928,"residue":422}],"minimal_cycle":[422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":422,"start_interval_clock_positions":[378,1114],"circle_positions":734,"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":[379,1115,1851],"clock_positions":[379,1115,1851],"native_values":[645,645,278],"rotation_degrees":61.79347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[645,645,278],"beta":{"interval_sums":[282312,261760,263962],"interval_residues":[456,456,456],"display_cycle":[456,456,456],"intervals":[{"from_index":379,"to_index":1115,"sum":282312,"residue":456},{"from_index":1115,"to_index":1851,"sum":261760,"residue":456},{"from_index":1851,"to_index":379,"sum":263962,"residue":456}],"minimal_cycle":[456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[379,1115],"circle_positions":734,"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":[380,1116,1852],"clock_positions":[380,1116,1852],"native_values":[223,590,223],"rotation_degrees":61.95652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,590,223],"beta":{"interval_sums":[282734,261448,264384],"interval_residues":[144,144,144],"display_cycle":[144,144,144],"intervals":[{"from_index":380,"to_index":1116,"sum":282734,"residue":144},{"from_index":1116,"to_index":1852,"sum":261448,"residue":144},{"from_index":1852,"to_index":380,"sum":264384,"residue":144}],"minimal_cycle":[144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[380,1116],"circle_positions":734,"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":[381,1117,1853],"clock_positions":[381,1117,1853],"native_values":[134,501,501],"rotation_degrees":62.119565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[134,501,501],"beta":{"interval_sums":[283190,261170,264106],"interval_residues":[600,600,600],"display_cycle":[600,600,600],"intervals":[{"from_index":381,"to_index":1117,"sum":283190,"residue":600},{"from_index":1117,"to_index":1853,"sum":261170,"residue":600},{"from_index":1853,"to_index":381,"sum":264106,"residue":600}],"minimal_cycle":[600],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":600,"start_interval_clock_positions":[381,1117],"circle_positions":734,"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":[382,1118,1854],"clock_positions":[382,1118,1854],"native_values":[357,357,724],"rotation_degrees":62.28260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,357,724],"beta":{"interval_sums":[283334,261314,263516],"interval_residues":[10,10,10],"display_cycle":[10,10,10],"intervals":[{"from_index":382,"to_index":1118,"sum":283334,"residue":10},{"from_index":1118,"to_index":1854,"sum":261314,"residue":10},{"from_index":1854,"to_index":382,"sum":263516,"residue":10}],"minimal_cycle":[10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":10,"start_interval_clock_positions":[382,1118],"circle_positions":734,"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":[383,1119,1855],"clock_positions":[383,1119,1855],"native_values":[491,124,491],"rotation_degrees":62.44565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[491,124,491],"beta":{"interval_sums":[283200,261914,263382],"interval_residues":[610,610,610],"display_cycle":[610,610,610],"intervals":[{"from_index":383,"to_index":1119,"sum":283200,"residue":610},{"from_index":1119,"to_index":1855,"sum":261914,"residue":610},{"from_index":1855,"to_index":383,"sum":263382,"residue":610}],"minimal_cycle":[610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[383,1119],"circle_positions":734,"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":[384,1120,1856],"clock_positions":[384,1120,1856],"native_values":[114,481,481],"rotation_degrees":62.608695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[114,481,481],"beta":{"interval_sums":[283210,261924,263392],"interval_residues":[620,620,620],"display_cycle":[620,620,620],"intervals":[{"from_index":384,"to_index":1120,"sum":283210,"residue":620},{"from_index":1120,"to_index":1856,"sum":261924,"residue":620},{"from_index":1856,"to_index":384,"sum":263392,"residue":620}],"minimal_cycle":[620],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":620,"start_interval_clock_positions":[384,1120],"circle_positions":734,"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":[385,1121,1857],"clock_positions":[385,1121,1857],"native_values":[605,605,238],"rotation_degrees":62.77173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[605,605,238],"beta":{"interval_sums":[283086,261800,263268],"interval_residues":[496,496,496],"display_cycle":[496,496,496],"intervals":[{"from_index":385,"to_index":1121,"sum":283086,"residue":496},{"from_index":1121,"to_index":1857,"sum":261800,"residue":496},{"from_index":1857,"to_index":385,"sum":263268,"residue":496}],"minimal_cycle":[496],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":496,"start_interval_clock_positions":[385,1121],"circle_positions":734,"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":[386,1122,1858],"clock_positions":[386,1122,1858],"native_values":[719,352,719],"rotation_degrees":62.93478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[719,352,719],"beta":{"interval_sums":[282972,261686,263154],"interval_residues":[382,382,382],"display_cycle":[382,382,382],"intervals":[{"from_index":386,"to_index":1122,"sum":282972,"residue":382},{"from_index":1122,"to_index":1858,"sum":261686,"residue":382},{"from_index":1858,"to_index":386,"sum":263154,"residue":382}],"minimal_cycle":[382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[386,1122],"circle_positions":734,"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":[387,1123,1859],"clock_positions":[387,1123,1859],"native_values":[590,223,223],"rotation_degrees":63.09782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[590,223,223],"beta":{"interval_sums":[282734,262182,263650],"interval_residues":[144,144,144],"display_cycle":[144,144,144],"intervals":[{"from_index":387,"to_index":1123,"sum":282734,"residue":144},{"from_index":1123,"to_index":1859,"sum":262182,"residue":144},{"from_index":1859,"to_index":387,"sum":263650,"residue":144}],"minimal_cycle":[144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[387,1123],"circle_positions":734,"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":[388,1124,1860],"clock_positions":[388,1124,1860],"native_values":[575,575,208],"rotation_degrees":63.26086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[575,575,208],"beta":{"interval_sums":[282382,261830,264032],"interval_residues":[526,526,526],"display_cycle":[526,526,526],"intervals":[{"from_index":388,"to_index":1124,"sum":282382,"residue":526},{"from_index":1124,"to_index":1860,"sum":261830,"residue":526},{"from_index":1860,"to_index":388,"sum":264032,"residue":526}],"minimal_cycle":[526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":526,"start_interval_clock_positions":[388,1124],"circle_positions":734,"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":[389,1125,1861],"clock_positions":[389,1125,1861],"native_values":[431,64,431],"rotation_degrees":63.42391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[431,64,431],"beta":{"interval_sums":[282526,261974,264176],"interval_residues":[670,670,670],"display_cycle":[670,670,670],"intervals":[{"from_index":389,"to_index":1125,"sum":282526,"residue":670},{"from_index":1125,"to_index":1861,"sum":261974,"residue":670},{"from_index":1861,"to_index":389,"sum":264176,"residue":670}],"minimal_cycle":[670],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":670,"start_interval_clock_positions":[389,1125],"circle_positions":734,"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":[390,1126,1862],"clock_positions":[390,1126,1862],"native_values":[272,639,639],"rotation_degrees":63.58695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[272,639,639],"beta":{"interval_sums":[282318,261766,263968],"interval_residues":[462,462,462],"display_cycle":[462,462,462],"intervals":[{"from_index":390,"to_index":1126,"sum":282318,"residue":462},{"from_index":1126,"to_index":1862,"sum":261766,"residue":462},{"from_index":1862,"to_index":390,"sum":263968,"residue":462}],"minimal_cycle":[462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":462,"start_interval_clock_positions":[390,1126],"circle_positions":734,"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":[391,1127,1863],"clock_positions":[391,1127,1863],"native_values":[703,703,336],"rotation_degrees":63.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[703,703,336],"beta":{"interval_sums":[282254,261702,263904],"interval_residues":[398,398,398],"display_cycle":[398,398,398],"intervals":[{"from_index":391,"to_index":1127,"sum":282254,"residue":398},{"from_index":1127,"to_index":1863,"sum":261702,"residue":398},{"from_index":1863,"to_index":391,"sum":263904,"residue":398}],"minimal_cycle":[398],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":398,"start_interval_clock_positions":[391,1127],"circle_positions":734,"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":[392,1128,1864],"clock_positions":[392,1128,1864],"native_values":[241,608,241],"rotation_degrees":63.91304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,608,241],"beta":{"interval_sums":[282716,261430,264366],"interval_residues":[126,126,126],"display_cycle":[126,126,126],"intervals":[{"from_index":392,"to_index":1128,"sum":282716,"residue":126},{"from_index":1128,"to_index":1864,"sum":261430,"residue":126},{"from_index":1864,"to_index":392,"sum":264366,"residue":126}],"minimal_cycle":[126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[392,1128],"circle_positions":734,"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":[393,1129,1865],"clock_positions":[393,1129,1865],"native_values":[210,577,577],"rotation_degrees":64.07608695652173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[210,577,577],"beta":{"interval_sums":[283114,261094,264030],"interval_residues":[524,524,524],"display_cycle":[524,524,524],"intervals":[{"from_index":393,"to_index":1129,"sum":283114,"residue":524},{"from_index":1129,"to_index":1865,"sum":261094,"residue":524},{"from_index":1865,"to_index":393,"sum":264030,"residue":524}],"minimal_cycle":[524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[393,1129],"circle_positions":734,"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":[394,1130,1866],"clock_positions":[394,1130,1866],"native_values":[451,451,84],"rotation_degrees":64.23913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,451,84],"beta":{"interval_sums":[283240,261220,264156],"interval_residues":[650,650,650],"display_cycle":[650,650,650],"intervals":[{"from_index":394,"to_index":1130,"sum":283240,"residue":650},{"from_index":1130,"to_index":1866,"sum":261220,"residue":650},{"from_index":1866,"to_index":394,"sum":264156,"residue":650}],"minimal_cycle":[650],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":650,"start_interval_clock_positions":[394,1130],"circle_positions":734,"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":[395,1131,1867],"clock_positions":[395,1131,1867],"native_values":[661,294,661],"rotation_degrees":64.40217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[661,294,661],"beta":{"interval_sums":[283030,261010,263946],"interval_residues":[440,440,440],"display_cycle":[440,440,440],"intervals":[{"from_index":395,"to_index":1131,"sum":283030,"residue":440},{"from_index":1131,"to_index":1867,"sum":261010,"residue":440},{"from_index":1867,"to_index":395,"sum":263946,"residue":440}],"minimal_cycle":[440],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[395,1131],"circle_positions":734,"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":[396,1132,1868],"clock_positions":[396,1132,1868],"native_values":[378,11,11],"rotation_degrees":64.56521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[378,11,11],"beta":{"interval_sums":[282946,261660,264596],"interval_residues":[356,356,356],"display_cycle":[356,356,356],"intervals":[{"from_index":396,"to_index":1132,"sum":282946,"residue":356},{"from_index":1132,"to_index":1868,"sum":261660,"residue":356},{"from_index":1868,"to_index":396,"sum":264596,"residue":356}],"minimal_cycle":[356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":356,"start_interval_clock_positions":[396,1132],"circle_positions":734,"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":[397,1133,1869],"clock_positions":[397,1133,1869],"native_values":[305,305,672],"rotation_degrees":64.72826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,305,672],"beta":{"interval_sums":[282652,261366,264302],"interval_residues":[62,62,62],"display_cycle":[62,62,62],"intervals":[{"from_index":397,"to_index":1133,"sum":282652,"residue":62},{"from_index":1133,"to_index":1869,"sum":261366,"residue":62},{"from_index":1869,"to_index":397,"sum":264302,"residue":62}],"minimal_cycle":[62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[397,1133],"circle_positions":734,"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":[398,1134,1870],"clock_positions":[398,1134,1870],"native_values":[683,316,683],"rotation_degrees":64.8913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[683,316,683],"beta":{"interval_sums":[282274,261722,263924],"interval_residues":[418,418,418],"display_cycle":[418,418,418],"intervals":[{"from_index":398,"to_index":1134,"sum":282274,"residue":418},{"from_index":1134,"to_index":1870,"sum":261722,"residue":418},{"from_index":1870,"to_index":398,"sum":263924,"residue":418}],"minimal_cycle":[418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":418,"start_interval_clock_positions":[398,1134],"circle_positions":734,"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":[399,1135,1871],"clock_positions":[399,1135,1871],"native_values":[254,621,621],"rotation_degrees":65.05434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[254,621,621],"beta":{"interval_sums":[282336,261784,263986],"interval_residues":[480,480,480],"display_cycle":[480,480,480],"intervals":[{"from_index":399,"to_index":1135,"sum":282336,"residue":480},{"from_index":1135,"to_index":1871,"sum":261784,"residue":480},{"from_index":1871,"to_index":399,"sum":263986,"residue":480}],"minimal_cycle":[480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[399,1135],"circle_positions":734,"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":[400,1136,1872],"clock_positions":[400,1136,1872],"native_values":[203,203,570],"rotation_degrees":65.21739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,203,570],"beta":{"interval_sums":[282754,262202,263670],"interval_residues":[164,164,164],"display_cycle":[164,164,164],"intervals":[{"from_index":400,"to_index":1136,"sum":282754,"residue":164},{"from_index":1136,"to_index":1872,"sum":262202,"residue":164},{"from_index":1872,"to_index":400,"sum":263670,"residue":164}],"minimal_cycle":[164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[400,1136],"circle_positions":734,"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":[401,1137,1873],"clock_positions":[401,1137,1873],"native_values":[457,90,457],"rotation_degrees":65.3804347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,90,457],"beta":{"interval_sums":[282500,262682,263416],"interval_residues":[644,644,644],"display_cycle":[644,644,644],"intervals":[{"from_index":401,"to_index":1137,"sum":282500,"residue":644},{"from_index":1137,"to_index":1873,"sum":262682,"residue":644},{"from_index":1873,"to_index":401,"sum":263416,"residue":644}],"minimal_cycle":[644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[401,1137],"circle_positions":734,"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":[402,1138,1874],"clock_positions":[402,1138,1874],"native_values":[660,293,293],"rotation_degrees":65.54347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[660,293,293],"beta":{"interval_sums":[281930,262846,263580],"interval_residues":[74,74,74],"display_cycle":[74,74,74],"intervals":[{"from_index":402,"to_index":1138,"sum":281930,"residue":74},{"from_index":1138,"to_index":1874,"sum":262846,"residue":74},{"from_index":1874,"to_index":402,"sum":263580,"residue":74}],"minimal_cycle":[74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[402,1138],"circle_positions":734,"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":[403,1139,1875],"clock_positions":[403,1139,1875],"native_values":[383,383,16],"rotation_degrees":65.70652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[383,383,16],"beta":{"interval_sums":[281840,262756,264224],"interval_residues":[718,718,718],"display_cycle":[718,718,718],"intervals":[{"from_index":403,"to_index":1139,"sum":281840,"residue":718},{"from_index":1139,"to_index":1875,"sum":262756,"residue":718},{"from_index":1875,"to_index":403,"sum":264224,"residue":718}],"minimal_cycle":[718],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":718,"start_interval_clock_positions":[403,1139],"circle_positions":734,"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":[404,1140,1876],"clock_positions":[404,1140,1876],"native_values":[309,676,309],"rotation_degrees":65.8695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,676,309],"beta":{"interval_sums":[281914,262096,264298],"interval_residues":[58,58,58],"display_cycle":[58,58,58],"intervals":[{"from_index":404,"to_index":1140,"sum":281914,"residue":58},{"from_index":1140,"to_index":1876,"sum":262096,"residue":58},{"from_index":1876,"to_index":404,"sum":264298,"residue":58}],"minimal_cycle":[58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[404,1140],"circle_positions":734,"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":[405,1141,1877],"clock_positions":[405,1141,1877],"native_values":[692,325,325],"rotation_degrees":66.03260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[692,325,325],"beta":{"interval_sums":[281898,262080,264282],"interval_residues":[42,42,42],"display_cycle":[42,42,42],"intervals":[{"from_index":405,"to_index":1141,"sum":281898,"residue":42},{"from_index":1141,"to_index":1877,"sum":262080,"residue":42},{"from_index":1877,"to_index":405,"sum":264282,"residue":42}],"minimal_cycle":[42],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":42,"start_interval_clock_positions":[405,1141],"circle_positions":734,"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":[406,1142,1878],"clock_positions":[406,1142,1878],"native_values":[267,267,634],"rotation_degrees":66.19565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[267,267,634],"beta":{"interval_sums":[281956,262138,264340],"interval_residues":[100,100,100],"display_cycle":[100,100,100],"intervals":[{"from_index":406,"to_index":1142,"sum":281956,"residue":100},{"from_index":1142,"to_index":1878,"sum":262138,"residue":100},{"from_index":1878,"to_index":406,"sum":264340,"residue":100}],"minimal_cycle":[100],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":100,"start_interval_clock_positions":[406,1142],"circle_positions":734,"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":[407,1143,1879],"clock_positions":[407,1143,1879],"native_values":[225,592,225],"rotation_degrees":66.3586956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[225,592,225],"beta":{"interval_sums":[281998,262180,264382],"interval_residues":[142,142,142],"display_cycle":[142,142,142],"intervals":[{"from_index":407,"to_index":1143,"sum":281998,"residue":142},{"from_index":1143,"to_index":1879,"sum":262180,"residue":142},{"from_index":1879,"to_index":407,"sum":264382,"residue":142}],"minimal_cycle":[142],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":142,"start_interval_clock_positions":[407,1143],"circle_positions":734,"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":[408,1144,1880],"clock_positions":[408,1144,1880],"native_values":[492,125,125],"rotation_degrees":66.52173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,125,125],"beta":{"interval_sums":[282098,262280,264482],"interval_residues":[242,242,242],"display_cycle":[242,242,242],"intervals":[{"from_index":408,"to_index":1144,"sum":282098,"residue":242},{"from_index":1144,"to_index":1880,"sum":262280,"residue":242},{"from_index":1880,"to_index":408,"sum":264482,"residue":242}],"minimal_cycle":[242],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":242,"start_interval_clock_positions":[408,1144],"circle_positions":734,"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":[409,1145,1881],"clock_positions":[409,1145,1881],"native_values":[717,717,350],"rotation_degrees":66.68478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[717,717,350],"beta":{"interval_sums":[281506,261688,264624],"interval_residues":[384,384,384],"display_cycle":[384,384,384],"intervals":[{"from_index":409,"to_index":1145,"sum":281506,"residue":384},{"from_index":1145,"to_index":1881,"sum":261688,"residue":384},{"from_index":1881,"to_index":409,"sum":264624,"residue":384}],"minimal_cycle":[384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[409,1145],"circle_positions":734,"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":[410,1146,1882],"clock_positions":[410,1146,1882],"native_values":[475,108,475],"rotation_degrees":66.84782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[475,108,475],"beta":{"interval_sums":[281748,261930,264866],"interval_residues":[626,626,626],"display_cycle":[626,626,626],"intervals":[{"from_index":410,"to_index":1146,"sum":281748,"residue":626},{"from_index":1146,"to_index":1882,"sum":261930,"residue":626},{"from_index":1882,"to_index":410,"sum":264866,"residue":626}],"minimal_cycle":[626],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":626,"start_interval_clock_positions":[410,1146],"circle_positions":734,"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":[411,1147,1883],"clock_positions":[411,1147,1883],"native_values":[458,91,91],"rotation_degrees":67.01086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[458,91,91],"beta":{"interval_sums":[281398,262314,265250],"interval_residues":[276,276,276],"display_cycle":[276,276,276],"intervals":[{"from_index":411,"to_index":1147,"sum":281398,"residue":276},{"from_index":1147,"to_index":1883,"sum":262314,"residue":276},{"from_index":1883,"to_index":411,"sum":265250,"residue":276}],"minimal_cycle":[276],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":276,"start_interval_clock_positions":[411,1147],"circle_positions":734,"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":[412,1148,1884],"clock_positions":[412,1148,1884],"native_values":[199,199,566],"rotation_degrees":67.17391304347827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[199,199,566],"beta":{"interval_sums":[281290,262206,265142],"interval_residues":[168,168,168],"display_cycle":[168,168,168],"intervals":[{"from_index":412,"to_index":1148,"sum":281290,"residue":168},{"from_index":1148,"to_index":1884,"sum":262206,"residue":168},{"from_index":1884,"to_index":412,"sum":265142,"residue":168}],"minimal_cycle":[168],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":168,"start_interval_clock_positions":[412,1148],"circle_positions":734,"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":[413,1149,1885],"clock_positions":[413,1149,1885],"native_values":[657,290,657],"rotation_degrees":67.33695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,290,657],"beta":{"interval_sums":[280832,262482,264684],"interval_residues":[444,444,444],"display_cycle":[444,444,444],"intervals":[{"from_index":413,"to_index":1149,"sum":280832,"residue":444},{"from_index":1149,"to_index":1885,"sum":262482,"residue":444},{"from_index":1885,"to_index":413,"sum":264684,"residue":444}],"minimal_cycle":[444],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[413,1149],"circle_positions":734,"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":[414,1150,1886],"clock_positions":[414,1150,1886],"native_values":[122,489,489],"rotation_degrees":67.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[122,489,489],"beta":{"interval_sums":[281000,262650,264852],"interval_residues":[612,612,612],"display_cycle":[612,612,612],"intervals":[{"from_index":414,"to_index":1150,"sum":281000,"residue":612},{"from_index":1150,"to_index":1886,"sum":262650,"residue":612},{"from_index":1886,"to_index":414,"sum":264852,"residue":612}],"minimal_cycle":[612],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":612,"start_interval_clock_positions":[414,1150],"circle_positions":734,"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":[415,1151,1887],"clock_positions":[415,1151,1887],"native_values":[45,45,412],"rotation_degrees":67.66304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,45,412],"beta":{"interval_sums":[281444,263094,264562],"interval_residues":[322,322,322],"display_cycle":[322,322,322],"intervals":[{"from_index":415,"to_index":1151,"sum":281444,"residue":322},{"from_index":1151,"to_index":1887,"sum":263094,"residue":322},{"from_index":1887,"to_index":415,"sum":264562,"residue":322}],"minimal_cycle":[322],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":322,"start_interval_clock_positions":[415,1151],"circle_positions":734,"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":[416,1152,1888],"clock_positions":[416,1152,1888],"native_values":[167,534,167],"rotation_degrees":67.82608695652173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,534,167],"beta":{"interval_sums":[281322,262972,264440],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":416,"to_index":1152,"sum":281322,"residue":200},{"from_index":1152,"to_index":1888,"sum":262972,"residue":200},{"from_index":1888,"to_index":416,"sum":264440,"residue":200}],"minimal_cycle":[200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[416,1152],"circle_positions":734,"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":[417,1153,1889],"clock_positions":[417,1153,1889],"native_values":[212,579,579],"rotation_degrees":67.98913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[212,579,579],"beta":{"interval_sums":[281644,262560,264028],"interval_residues":[522,522,522],"display_cycle":[522,522,522],"intervals":[{"from_index":417,"to_index":1153,"sum":281644,"residue":522},{"from_index":1153,"to_index":1889,"sum":262560,"residue":522},{"from_index":1889,"to_index":417,"sum":264028,"residue":522}],"minimal_cycle":[522],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":522,"start_interval_clock_positions":[417,1153],"circle_positions":734,"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":[418,1154,1890],"clock_positions":[418,1154,1890],"native_values":[379,379,12],"rotation_degrees":68.15217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[379,379,12],"beta":{"interval_sums":[281844,262760,264228],"interval_residues":[722,722,722],"display_cycle":[722,722,722],"intervals":[{"from_index":418,"to_index":1154,"sum":281844,"residue":722},{"from_index":1154,"to_index":1890,"sum":262760,"residue":722},{"from_index":1890,"to_index":418,"sum":264228,"residue":722}],"minimal_cycle":[722],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":722,"start_interval_clock_positions":[418,1154],"circle_positions":734,"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":[419,1155,1891],"clock_positions":[419,1155,1891],"native_values":[591,224,591],"rotation_degrees":68.31521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[591,224,591],"beta":{"interval_sums":[281632,262548,264016],"interval_residues":[510,510,510],"display_cycle":[510,510,510],"intervals":[{"from_index":419,"to_index":1155,"sum":281632,"residue":510},{"from_index":1155,"to_index":1891,"sum":262548,"residue":510},{"from_index":1891,"to_index":419,"sum":264016,"residue":510}],"minimal_cycle":[510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[419,1155],"circle_positions":734,"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":[420,1156,1892],"clock_positions":[420,1156,1892],"native_values":[236,603,603],"rotation_degrees":68.47826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[236,603,603],"beta":{"interval_sums":[281620,262536,264004],"interval_residues":[498,498,498],"display_cycle":[498,498,498],"intervals":[{"from_index":420,"to_index":1156,"sum":281620,"residue":498},{"from_index":1156,"to_index":1892,"sum":262536,"residue":498},{"from_index":1892,"to_index":420,"sum":264004,"residue":498}],"minimal_cycle":[498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[420,1156],"circle_positions":734,"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":[421,1157,1893],"clock_positions":[421,1157,1893],"native_values":[93,93,460],"rotation_degrees":68.6413043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,93,460],"beta":{"interval_sums":[282130,263046,263780],"interval_residues":[274,274,274],"display_cycle":[274,274,274],"intervals":[{"from_index":421,"to_index":1157,"sum":282130,"residue":274},{"from_index":1157,"to_index":1893,"sum":263046,"residue":274},{"from_index":1893,"to_index":421,"sum":263780,"residue":274}],"minimal_cycle":[274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":274,"start_interval_clock_positions":[421,1157],"circle_positions":734,"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":[422,1158,1894],"clock_positions":[422,1158,1894],"native_values":[329,696,329],"rotation_degrees":68.80434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[329,696,329],"beta":{"interval_sums":[281894,262810,263544],"interval_residues":[38,38,38],"display_cycle":[38,38,38],"intervals":[{"from_index":422,"to_index":1158,"sum":281894,"residue":38},{"from_index":1158,"to_index":1894,"sum":262810,"residue":38},{"from_index":1894,"to_index":422,"sum":263544,"residue":38}],"minimal_cycle":[38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[422,1158],"circle_positions":734,"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":[423,1159,1895],"clock_positions":[423,1159,1895],"native_values":[422,55,55],"rotation_degrees":68.96739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[422,55,55],"beta":{"interval_sums":[282168,263084,263818],"interval_residues":[312,312,312],"display_cycle":[312,312,312],"intervals":[{"from_index":423,"to_index":1159,"sum":282168,"residue":312},{"from_index":1159,"to_index":1895,"sum":263084,"residue":312},{"from_index":1895,"to_index":423,"sum":263818,"residue":312}],"minimal_cycle":[312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[423,1159],"circle_positions":734,"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":[424,1160,1896],"clock_positions":[424,1160,1896],"native_values":[17,17,384],"rotation_degrees":69.1304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,17,384],"beta":{"interval_sums":[282206,263122,263856],"interval_residues":[350,350,350],"display_cycle":[350,350,350],"intervals":[{"from_index":424,"to_index":1160,"sum":282206,"residue":350},{"from_index":1160,"to_index":1896,"sum":263122,"residue":350},{"from_index":1896,"to_index":424,"sum":263856,"residue":350}],"minimal_cycle":[350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[424,1160],"circle_positions":734,"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":[425,1161,1897],"clock_positions":[425,1161,1897],"native_values":[439,72,439],"rotation_degrees":69.29347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[439,72,439],"beta":{"interval_sums":[281784,263434,263434],"interval_residues":[662,662,662],"display_cycle":[662,662,662],"intervals":[{"from_index":425,"to_index":1161,"sum":281784,"residue":662},{"from_index":1161,"to_index":1897,"sum":263434,"residue":662},{"from_index":1897,"to_index":425,"sum":263434,"residue":662}],"minimal_cycle":[662],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":662,"start_interval_clock_positions":[425,1161],"circle_positions":734,"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":[426,1162,1898],"clock_positions":[426,1162,1898],"native_values":[456,89,89],"rotation_degrees":69.45652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[456,89,89],"beta":{"interval_sums":[281400,263784,263784],"interval_residues":[278,278,278],"display_cycle":[278,278,278],"intervals":[{"from_index":426,"to_index":1162,"sum":281400,"residue":278},{"from_index":1162,"to_index":1898,"sum":263784,"residue":278},{"from_index":1898,"to_index":426,"sum":263784,"residue":278}],"minimal_cycle":[278],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":278,"start_interval_clock_positions":[426,1162],"circle_positions":734,"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":[427,1163,1899],"clock_positions":[427,1163,1899],"native_values":[161,161,528],"rotation_degrees":69.6195652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,161,528],"beta":{"interval_sums":[281328,263712,263712],"interval_residues":[206,206,206],"display_cycle":[206,206,206],"intervals":[{"from_index":427,"to_index":1163,"sum":281328,"residue":206},{"from_index":1163,"to_index":1899,"sum":263712,"residue":206},{"from_index":1899,"to_index":427,"sum":263712,"residue":206}],"minimal_cycle":[206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[427,1163],"circle_positions":734,"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":[428,1164,1900],"clock_positions":[428,1164,1900],"native_values":[617,250,617],"rotation_degrees":69.78260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[617,250,617],"beta":{"interval_sums":[280872,263990,263256],"interval_residues":[484,484,484],"display_cycle":[484,484,484],"intervals":[{"from_index":428,"to_index":1164,"sum":280872,"residue":484},{"from_index":1164,"to_index":1900,"sum":263990,"residue":484},{"from_index":1900,"to_index":428,"sum":263256,"residue":484}],"minimal_cycle":[484],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":484,"start_interval_clock_positions":[428,1164],"circle_positions":734,"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":[429,1165,1901],"clock_positions":[429,1165,1901],"native_values":[44,411,411],"rotation_degrees":69.94565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[44,411,411],"beta":{"interval_sums":[281078,264196,263462],"interval_residues":[690,690,690],"display_cycle":[690,690,690],"intervals":[{"from_index":429,"to_index":1165,"sum":281078,"residue":690},{"from_index":1165,"to_index":1901,"sum":264196,"residue":690},{"from_index":1901,"to_index":429,"sum":263462,"residue":690}],"minimal_cycle":[690],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":690,"start_interval_clock_positions":[429,1165],"circle_positions":734,"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":[430,1166,1902],"clock_positions":[430,1166,1902],"native_values":[661,661,294],"rotation_degrees":70.1086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[661,661,294],"beta":{"interval_sums":[280828,263946,263212],"interval_residues":[440,440,440],"display_cycle":[440,440,440],"intervals":[{"from_index":430,"to_index":1166,"sum":280828,"residue":440},{"from_index":1166,"to_index":1902,"sum":263946,"residue":440},{"from_index":1902,"to_index":430,"sum":263212,"residue":440}],"minimal_cycle":[440],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[430,1166],"circle_positions":734,"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":[431,1167,1903],"clock_positions":[431,1167,1903],"native_values":[705,338,705],"rotation_degrees":70.27173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,338,705],"beta":{"interval_sums":[280784,263902,263168],"interval_residues":[396,396,396],"display_cycle":[396,396,396],"intervals":[{"from_index":431,"to_index":1167,"sum":280784,"residue":396},{"from_index":1167,"to_index":1903,"sum":263902,"residue":396},{"from_index":1903,"to_index":431,"sum":263168,"residue":396}],"minimal_cycle":[396],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":396,"start_interval_clock_positions":[431,1167],"circle_positions":734,"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":[432,1168,1904],"clock_positions":[432,1168,1904],"native_values":[632,265,265],"rotation_degrees":70.43478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[632,265,265],"beta":{"interval_sums":[280490,264342,263608],"interval_residues":[102,102,102],"display_cycle":[102,102,102],"intervals":[{"from_index":432,"to_index":1168,"sum":280490,"residue":102},{"from_index":1168,"to_index":1904,"sum":264342,"residue":102},{"from_index":1904,"to_index":432,"sum":263608,"residue":102}],"minimal_cycle":[102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":102,"start_interval_clock_positions":[432,1168],"circle_positions":734,"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":[433,1169,1905],"clock_positions":[433,1169,1905],"native_values":[603,603,236],"rotation_degrees":70.59782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[603,603,236],"beta":{"interval_sums":[280152,264004,264004],"interval_residues":[498,498,498],"display_cycle":[498,498,498],"intervals":[{"from_index":433,"to_index":1169,"sum":280152,"residue":498},{"from_index":1169,"to_index":1905,"sum":264004,"residue":498},{"from_index":1905,"to_index":433,"sum":264004,"residue":498}],"minimal_cycle":[498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[433,1169],"circle_positions":734,"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":[434,1170,1906],"clock_positions":[434,1170,1906],"native_values":[501,134,501],"rotation_degrees":70.76086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[501,134,501],"beta":{"interval_sums":[280254,264106,264106],"interval_residues":[600,600,600],"display_cycle":[600,600,600],"intervals":[{"from_index":434,"to_index":1170,"sum":280254,"residue":600},{"from_index":1170,"to_index":1906,"sum":264106,"residue":600},{"from_index":1906,"to_index":434,"sum":264106,"residue":600}],"minimal_cycle":[600],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":600,"start_interval_clock_positions":[434,1170],"circle_positions":734,"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":[435,1171,1907],"clock_positions":[435,1171,1907],"native_values":[370,3,3],"rotation_degrees":70.92391304347827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[370,3,3],"beta":{"interval_sums":[280018,264604,264604],"interval_residues":[364,364,364],"display_cycle":[364,364,364],"intervals":[{"from_index":435,"to_index":1171,"sum":280018,"residue":364},{"from_index":1171,"to_index":1907,"sum":264604,"residue":364},{"from_index":1907,"to_index":435,"sum":264604,"residue":364}],"minimal_cycle":[364],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":364,"start_interval_clock_positions":[435,1171],"circle_positions":734,"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":[436,1172,1908],"clock_positions":[436,1172,1908],"native_values":[137,137,504],"rotation_degrees":71.08695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,137,504],"beta":{"interval_sums":[279884,264470,264470],"interval_residues":[230,230,230],"display_cycle":[230,230,230],"intervals":[{"from_index":436,"to_index":1172,"sum":279884,"residue":230},{"from_index":1172,"to_index":1908,"sum":264470,"residue":230},{"from_index":1908,"to_index":436,"sum":264470,"residue":230}],"minimal_cycle":[230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[436,1172],"circle_positions":734,"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":[437,1173,1909],"clock_positions":[437,1173,1909],"native_values":[507,140,507],"rotation_degrees":71.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[507,140,507],"beta":{"interval_sums":[279514,264834,264100],"interval_residues":[594,594,594],"display_cycle":[594,594,594],"intervals":[{"from_index":437,"to_index":1173,"sum":279514,"residue":594},{"from_index":1173,"to_index":1909,"sum":264834,"residue":594},{"from_index":1909,"to_index":437,"sum":264100,"residue":594}],"minimal_cycle":[594],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":594,"start_interval_clock_positions":[437,1173],"circle_positions":734,"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":[438,1174,1910],"clock_positions":[438,1174,1910],"native_values":[644,277,277],"rotation_degrees":71.41304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[644,277,277],"beta":{"interval_sums":[279010,265064,264330],"interval_residues":[90,90,90],"display_cycle":[90,90,90],"intervals":[{"from_index":438,"to_index":1174,"sum":279010,"residue":90},{"from_index":1174,"to_index":1910,"sum":265064,"residue":90},{"from_index":1910,"to_index":438,"sum":264330,"residue":90}],"minimal_cycle":[90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[438,1174],"circle_positions":734,"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":[439,1175,1911],"clock_positions":[439,1175,1911],"native_values":[417,417,50],"rotation_degrees":71.57608695652173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,417,50],"beta":{"interval_sums":[278870,264924,264924],"interval_residues":[684,684,684],"display_cycle":[684,684,684],"intervals":[{"from_index":439,"to_index":1175,"sum":278870,"residue":684},{"from_index":1175,"to_index":1911,"sum":264924,"residue":684},{"from_index":1911,"to_index":439,"sum":264924,"residue":684}],"minimal_cycle":[684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":684,"start_interval_clock_positions":[439,1175],"circle_positions":734,"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":[440,1176,1912],"clock_positions":[440,1176,1912],"native_values":[327,694,327],"rotation_degrees":71.73913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,694,327],"beta":{"interval_sums":[278960,264280,265014],"interval_residues":[40,40,40],"display_cycle":[40,40,40],"intervals":[{"from_index":440,"to_index":1176,"sum":278960,"residue":40},{"from_index":1176,"to_index":1912,"sum":264280,"residue":40},{"from_index":1912,"to_index":440,"sum":265014,"residue":40}],"minimal_cycle":[40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[440,1176],"circle_positions":734,"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":[441,1177,1913],"clock_positions":[441,1177,1913],"native_values":[10,377,377],"rotation_degrees":71.90217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[10,377,377],"beta":{"interval_sums":[279644,264230,264964],"interval_residues":[724,724,724],"display_cycle":[724,724,724],"intervals":[{"from_index":441,"to_index":1177,"sum":279644,"residue":724},{"from_index":1177,"to_index":1913,"sum":264230,"residue":724},{"from_index":1913,"to_index":441,"sum":264964,"residue":724}],"minimal_cycle":[724],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":724,"start_interval_clock_positions":[441,1177],"circle_positions":734,"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":[442,1178,1914],"clock_positions":[442,1178,1914],"native_values":[337,337,704],"rotation_degrees":72.06521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,337,704],"beta":{"interval_sums":[279684,264270,264270],"interval_residues":[30,30,30],"display_cycle":[30,30,30],"intervals":[{"from_index":442,"to_index":1178,"sum":279684,"residue":30},{"from_index":1178,"to_index":1914,"sum":264270,"residue":30},{"from_index":1914,"to_index":442,"sum":264270,"residue":30}],"minimal_cycle":[30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[442,1178],"circle_positions":734,"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":[443,1179,1915],"clock_positions":[443,1179,1915],"native_values":[347,714,347],"rotation_degrees":72.22826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,714,347],"beta":{"interval_sums":[279674,264260,264260],"interval_residues":[20,20,20],"display_cycle":[20,20,20],"intervals":[{"from_index":443,"to_index":1179,"sum":279674,"residue":20},{"from_index":1179,"to_index":1915,"sum":264260,"residue":20},{"from_index":1915,"to_index":443,"sum":264260,"residue":20}],"minimal_cycle":[20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":20,"start_interval_clock_positions":[443,1179],"circle_positions":734,"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":[444,1180,1916],"clock_positions":[444,1180,1916],"native_values":[684,317,317],"rotation_degrees":72.3913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[684,317,317],"beta":{"interval_sums":[279704,264290,264290],"interval_residues":[50,50,50],"display_cycle":[50,50,50],"intervals":[{"from_index":444,"to_index":1180,"sum":279704,"residue":50},{"from_index":1180,"to_index":1916,"sum":264290,"residue":50},{"from_index":1916,"to_index":444,"sum":264290,"residue":50}],"minimal_cycle":[50],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[444,1180],"circle_positions":734,"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":[445,1181,1917],"clock_positions":[445,1181,1917],"native_values":[297,297,664],"rotation_degrees":72.55434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[297,297,664],"beta":{"interval_sums":[279724,264310,264310],"interval_residues":[70,70,70],"display_cycle":[70,70,70],"intervals":[{"from_index":445,"to_index":1181,"sum":279724,"residue":70},{"from_index":1181,"to_index":1917,"sum":264310,"residue":70},{"from_index":1917,"to_index":445,"sum":264310,"residue":70}],"minimal_cycle":[70],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[445,1181],"circle_positions":734,"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":[446,1182,1918],"clock_positions":[446,1182,1918],"native_values":[247,614,247],"rotation_degrees":72.71739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,614,247],"beta":{"interval_sums":[279774,264360,264360],"interval_residues":[120,120,120],"display_cycle":[120,120,120],"intervals":[{"from_index":446,"to_index":1182,"sum":279774,"residue":120},{"from_index":1182,"to_index":1918,"sum":264360,"residue":120},{"from_index":1918,"to_index":446,"sum":264360,"residue":120}],"minimal_cycle":[120],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[446,1182],"circle_positions":734,"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":[447,1183,1919],"clock_positions":[447,1183,1919],"native_values":[544,177,177],"rotation_degrees":72.8804347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[544,177,177],"beta":{"interval_sums":[279844,264430,264430],"interval_residues":[190,190,190],"display_cycle":[190,190,190],"intervals":[{"from_index":447,"to_index":1183,"sum":279844,"residue":190},{"from_index":1183,"to_index":1919,"sum":264430,"residue":190},{"from_index":1919,"to_index":447,"sum":264430,"residue":190}],"minimal_cycle":[190],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":190,"start_interval_clock_positions":[447,1183],"circle_positions":734,"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":[448,1184,1920],"clock_positions":[448,1184,1920],"native_values":[57,57,424],"rotation_degrees":73.04347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,57,424],"beta":{"interval_sums":[279964,264550,264550],"interval_residues":[310,310,310],"display_cycle":[310,310,310],"intervals":[{"from_index":448,"to_index":1184,"sum":279964,"residue":310},{"from_index":1184,"to_index":1920,"sum":264550,"residue":310},{"from_index":1920,"to_index":448,"sum":264550,"residue":310}],"minimal_cycle":[310],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":310,"start_interval_clock_positions":[448,1184],"circle_positions":734,"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":[449,1185,1921],"clock_positions":[449,1185,1921],"native_values":[601,234,601],"rotation_degrees":73.20652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[601,234,601],"beta":{"interval_sums":[279420,264740,264006],"interval_residues":[500,500,500],"display_cycle":[500,500,500],"intervals":[{"from_index":449,"to_index":1185,"sum":279420,"residue":500},{"from_index":1185,"to_index":1921,"sum":264740,"residue":500},{"from_index":1921,"to_index":449,"sum":264006,"residue":500}],"minimal_cycle":[500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[449,1185],"circle_positions":734,"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":[450,1186,1922],"clock_positions":[450,1186,1922],"native_values":[658,291,291],"rotation_degrees":73.3695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[658,291,291],"beta":{"interval_sums":[278996,265050,264316],"interval_residues":[76,76,76],"display_cycle":[76,76,76],"intervals":[{"from_index":450,"to_index":1186,"sum":278996,"residue":76},{"from_index":1186,"to_index":1922,"sum":265050,"residue":76},{"from_index":1922,"to_index":450,"sum":264316,"residue":76}],"minimal_cycle":[76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[450,1186],"circle_positions":734,"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":[451,1187,1923],"clock_positions":[451,1187,1923],"native_values":[525,525,158],"rotation_degrees":73.53260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[525,525,158],"beta":{"interval_sums":[278762,264816,264816],"interval_residues":[576,576,576],"display_cycle":[576,576,576],"intervals":[{"from_index":451,"to_index":1187,"sum":278762,"residue":576},{"from_index":1187,"to_index":1923,"sum":264816,"residue":576},{"from_index":1923,"to_index":451,"sum":264816,"residue":576}],"minimal_cycle":[576],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":576,"start_interval_clock_positions":[451,1187],"circle_positions":734,"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":[452,1188,1924],"clock_positions":[452,1188,1924],"native_values":[449,82,449],"rotation_degrees":73.69565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,82,449],"beta":{"interval_sums":[278838,264892,264892],"interval_residues":[652,652,652],"display_cycle":[652,652,652],"intervals":[{"from_index":452,"to_index":1188,"sum":278838,"residue":652},{"from_index":1188,"to_index":1924,"sum":264892,"residue":652},{"from_index":1924,"to_index":452,"sum":264892,"residue":652}],"minimal_cycle":[652],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[452,1188],"circle_positions":734,"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":[453,1189,1925],"clock_positions":[453,1189,1925],"native_values":[240,607,607],"rotation_degrees":73.8586956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[240,607,607],"beta":{"interval_sums":[278680,264734,264734],"interval_residues":[494,494,494],"display_cycle":[494,494,494],"intervals":[{"from_index":453,"to_index":1189,"sum":278680,"residue":494},{"from_index":1189,"to_index":1925,"sum":264734,"residue":494},{"from_index":1925,"to_index":453,"sum":264734,"residue":494}],"minimal_cycle":[494],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":494,"start_interval_clock_positions":[453,1189],"circle_positions":734,"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":[454,1190,1926],"clock_positions":[454,1190,1926],"native_values":[689,689,322],"rotation_degrees":74.02173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[689,689,322],"beta":{"interval_sums":[278598,264652,264652],"interval_residues":[412,412,412],"display_cycle":[412,412,412],"intervals":[{"from_index":454,"to_index":1190,"sum":278598,"residue":412},{"from_index":1190,"to_index":1926,"sum":264652,"residue":412},{"from_index":1926,"to_index":454,"sum":264652,"residue":412}],"minimal_cycle":[412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[454,1190],"circle_positions":734,"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":[455,1191,1927],"clock_positions":[455,1191,1927],"native_values":[195,562,195],"rotation_degrees":74.18478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,562,195],"beta":{"interval_sums":[279092,264412,265146],"interval_residues":[172,172,172],"display_cycle":[172,172,172],"intervals":[{"from_index":455,"to_index":1191,"sum":279092,"residue":172},{"from_index":1191,"to_index":1927,"sum":264412,"residue":172},{"from_index":1927,"to_index":455,"sum":265146,"residue":172}],"minimal_cycle":[172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":172,"start_interval_clock_positions":[455,1191],"circle_positions":734,"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":[456,1192,1928],"clock_positions":[456,1192,1928],"native_values":[150,517,517],"rotation_degrees":74.34782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[150,517,517],"beta":{"interval_sums":[279504,264090,264824],"interval_residues":[584,584,584],"display_cycle":[584,584,584],"intervals":[{"from_index":456,"to_index":1192,"sum":279504,"residue":584},{"from_index":1192,"to_index":1928,"sum":264090,"residue":584},{"from_index":1928,"to_index":456,"sum":264824,"residue":584}],"minimal_cycle":[584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[456,1192],"circle_positions":734,"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":[457,1193,1929],"clock_positions":[457,1193,1929],"native_values":[345,345,712],"rotation_degrees":74.51086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,345,712],"beta":{"interval_sums":[279676,264262,264262],"interval_residues":[22,22,22],"display_cycle":[22,22,22],"intervals":[{"from_index":457,"to_index":1193,"sum":279676,"residue":22},{"from_index":1193,"to_index":1929,"sum":264262,"residue":22},{"from_index":1929,"to_index":457,"sum":264262,"residue":22}],"minimal_cycle":[22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":22,"start_interval_clock_positions":[457,1193],"circle_positions":734,"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":[458,1194,1930],"clock_positions":[458,1194,1930],"native_values":[495,128,495],"rotation_degrees":74.67391304347827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[495,128,495],"beta":{"interval_sums":[279526,264846,264112],"interval_residues":[606,606,606],"display_cycle":[606,606,606],"intervals":[{"from_index":458,"to_index":1194,"sum":279526,"residue":606},{"from_index":1194,"to_index":1930,"sum":264846,"residue":606},{"from_index":1930,"to_index":458,"sum":264112,"residue":606}],"minimal_cycle":[606],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":606,"start_interval_clock_positions":[458,1194],"circle_positions":734,"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":[459,1195,1931],"clock_positions":[459,1195,1931],"native_values":[106,473,473],"rotation_degrees":74.83695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[106,473,473],"beta":{"interval_sums":[279548,264868,264134],"interval_residues":[628,628,628],"display_cycle":[628,628,628],"intervals":[{"from_index":459,"to_index":1195,"sum":279548,"residue":628},{"from_index":1195,"to_index":1931,"sum":264868,"residue":628},{"from_index":1931,"to_index":459,"sum":264134,"residue":628}],"minimal_cycle":[628],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[459,1195],"circle_positions":734,"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":[460,1196,1932],"clock_positions":[460,1196,1932],"native_values":[601,601,234],"rotation_degrees":75.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[601,601,234],"beta":{"interval_sums":[279420,264740,264006],"interval_residues":[500,500,500],"display_cycle":[500,500,500],"intervals":[{"from_index":460,"to_index":1196,"sum":279420,"residue":500},{"from_index":1196,"to_index":1932,"sum":264740,"residue":500},{"from_index":1932,"to_index":460,"sum":264006,"residue":500}],"minimal_cycle":[500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[460,1196],"circle_positions":734,"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":[461,1197,1933],"clock_positions":[461,1197,1933],"native_values":[707,340,707],"rotation_degrees":75.16304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[707,340,707],"beta":{"interval_sums":[279314,264634,263900],"interval_residues":[394,394,394],"display_cycle":[394,394,394],"intervals":[{"from_index":461,"to_index":1197,"sum":279314,"residue":394},{"from_index":1197,"to_index":1933,"sum":264634,"residue":394},{"from_index":1933,"to_index":461,"sum":263900,"residue":394}],"minimal_cycle":[394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[461,1197],"circle_positions":734,"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":[462,1198,1934],"clock_positions":[462,1198,1934],"native_values":[574,207,207],"rotation_degrees":75.32608695652173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[574,207,207],"beta":{"interval_sums":[279080,265134,264400],"interval_residues":[160,160,160],"display_cycle":[160,160,160],"intervals":[{"from_index":462,"to_index":1198,"sum":279080,"residue":160},{"from_index":1198,"to_index":1934,"sum":265134,"residue":160},{"from_index":1934,"to_index":462,"sum":264400,"residue":160}],"minimal_cycle":[160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":160,"start_interval_clock_positions":[462,1198],"circle_positions":734,"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":[463,1199,1935],"clock_positions":[463,1199,1935],"native_values":[547,547,180],"rotation_degrees":75.48913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[547,547,180],"beta":{"interval_sums":[278740,264794,264794],"interval_residues":[554,554,554],"display_cycle":[554,554,554],"intervals":[{"from_index":463,"to_index":1199,"sum":278740,"residue":554},{"from_index":1199,"to_index":1935,"sum":264794,"residue":554},{"from_index":1935,"to_index":463,"sum":264794,"residue":554}],"minimal_cycle":[554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[463,1199],"circle_positions":734,"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":[464,1200,1936],"clock_positions":[464,1200,1936],"native_values":[387,20,387],"rotation_degrees":75.65217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[387,20,387],"beta":{"interval_sums":[278900,264954,264954],"interval_residues":[714,714,714],"display_cycle":[714,714,714],"intervals":[{"from_index":464,"to_index":1200,"sum":278900,"residue":714},{"from_index":1200,"to_index":1936,"sum":264954,"residue":714},{"from_index":1936,"to_index":464,"sum":264954,"residue":714}],"minimal_cycle":[714],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":714,"start_interval_clock_positions":[464,1200],"circle_positions":734,"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":[465,1201,1937],"clock_positions":[465,1201,1937],"native_values":[200,567,567],"rotation_degrees":75.81521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,567,567],"beta":{"interval_sums":[278720,264774,264774],"interval_residues":[534,534,534],"display_cycle":[534,534,534],"intervals":[{"from_index":465,"to_index":1201,"sum":278720,"residue":534},{"from_index":1201,"to_index":1937,"sum":264774,"residue":534},{"from_index":1937,"to_index":465,"sum":264774,"residue":534}],"minimal_cycle":[534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[465,1201],"circle_positions":734,"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":[466,1202,1938],"clock_positions":[466,1202,1938],"native_values":[587,587,220],"rotation_degrees":75.97826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,587,220],"beta":{"interval_sums":[278700,264754,264754],"interval_residues":[514,514,514],"display_cycle":[514,514,514],"intervals":[{"from_index":466,"to_index":1202,"sum":278700,"residue":514},{"from_index":1202,"to_index":1938,"sum":264754,"residue":514},{"from_index":1938,"to_index":466,"sum":264754,"residue":514}],"minimal_cycle":[514],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":514,"start_interval_clock_positions":[466,1202],"circle_positions":734,"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":[467,1203,1939],"clock_positions":[467,1203,1939],"native_values":[53,420,53],"rotation_degrees":76.1413043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,420,53],"beta":{"interval_sums":[279234,264554,265288],"interval_residues":[314,314,314],"display_cycle":[314,314,314],"intervals":[{"from_index":467,"to_index":1203,"sum":279234,"residue":314},{"from_index":1203,"to_index":1939,"sum":264554,"residue":314},{"from_index":1939,"to_index":467,"sum":265288,"residue":314}],"minimal_cycle":[314],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":314,"start_interval_clock_positions":[467,1203],"circle_positions":734,"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":[468,1204,1940],"clock_positions":[468,1204,1940],"native_values":[640,273,273],"rotation_degrees":76.30434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[640,273,273],"beta":{"interval_sums":[279014,264334,265068],"interval_residues":[94,94,94],"display_cycle":[94,94,94],"intervals":[{"from_index":468,"to_index":1204,"sum":279014,"residue":94},{"from_index":1204,"to_index":1940,"sum":264334,"residue":94},{"from_index":1940,"to_index":468,"sum":265068,"residue":94}],"minimal_cycle":[94],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":94,"start_interval_clock_positions":[468,1204],"circle_positions":734,"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":[469,1205,1941],"clock_positions":[469,1205,1941],"native_values":[693,693,326],"rotation_degrees":76.46739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[693,693,326],"beta":{"interval_sums":[278594,263914,265382],"interval_residues":[408,408,408],"display_cycle":[408,408,408],"intervals":[{"from_index":469,"to_index":1205,"sum":278594,"residue":408},{"from_index":1205,"to_index":1941,"sum":263914,"residue":408},{"from_index":1941,"to_index":469,"sum":265382,"residue":408}],"minimal_cycle":[408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[469,1205],"circle_positions":734,"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":[470,1206,1942],"clock_positions":[470,1206,1942],"native_values":[599,232,599],"rotation_degrees":76.6304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[599,232,599],"beta":{"interval_sums":[278688,264008,265476],"interval_residues":[502,502,502],"display_cycle":[502,502,502],"intervals":[{"from_index":470,"to_index":1206,"sum":278688,"residue":502},{"from_index":1206,"to_index":1942,"sum":264008,"residue":502},{"from_index":1942,"to_index":470,"sum":265476,"residue":502}],"minimal_cycle":[502],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[470,1206],"circle_positions":734,"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":[471,1207,1943],"clock_positions":[471,1207,1943],"native_values":[558,191,191],"rotation_degrees":76.79347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[558,191,191],"beta":{"interval_sums":[278362,264416,265884],"interval_residues":[176,176,176],"display_cycle":[176,176,176],"intervals":[{"from_index":471,"to_index":1207,"sum":278362,"residue":176},{"from_index":1207,"to_index":1943,"sum":264416,"residue":176},{"from_index":1943,"to_index":471,"sum":265884,"residue":176}],"minimal_cycle":[176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[471,1207],"circle_positions":734,"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":[472,1208,1944],"clock_positions":[472,1208,1944],"native_values":[423,423,56],"rotation_degrees":76.95652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[423,423,56],"beta":{"interval_sums":[278130,264184,266386],"interval_residues":[678,678,678],"display_cycle":[678,678,678],"intervals":[{"from_index":472,"to_index":1208,"sum":278130,"residue":678},{"from_index":1208,"to_index":1944,"sum":264184,"residue":678},{"from_index":1944,"to_index":472,"sum":266386,"residue":678}],"minimal_cycle":[678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[472,1208],"circle_positions":734,"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":[473,1209,1945],"clock_positions":[473,1209,1945],"native_values":[247,614,247],"rotation_degrees":77.1195652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,614,247],"beta":{"interval_sums":[278306,263626,266562],"interval_residues":[120,120,120],"display_cycle":[120,120,120],"intervals":[{"from_index":473,"to_index":1209,"sum":278306,"residue":120},{"from_index":1209,"to_index":1945,"sum":263626,"residue":120},{"from_index":1945,"to_index":473,"sum":266562,"residue":120}],"minimal_cycle":[120],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[473,1209],"circle_positions":734,"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":[474,1210,1946],"clock_positions":[474,1210,1946],"native_values":[670,303,303],"rotation_degrees":77.28260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[670,303,303],"beta":{"interval_sums":[278250,263570,266506],"interval_residues":[64,64,64],"display_cycle":[64,64,64],"intervals":[{"from_index":474,"to_index":1210,"sum":278250,"residue":64},{"from_index":1210,"to_index":1946,"sum":263570,"residue":64},{"from_index":1946,"to_index":474,"sum":266506,"residue":64}],"minimal_cycle":[64],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":64,"start_interval_clock_positions":[474,1210],"circle_positions":734,"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":[475,1211,1947],"clock_positions":[475,1211,1947],"native_values":[183,183,550],"rotation_degrees":77.44565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[183,183,550],"beta":{"interval_sums":[278370,263690,266626],"interval_residues":[184,184,184],"display_cycle":[184,184,184],"intervals":[{"from_index":475,"to_index":1211,"sum":278370,"residue":184},{"from_index":1211,"to_index":1947,"sum":263690,"residue":184},{"from_index":1947,"to_index":475,"sum":266626,"residue":184}],"minimal_cycle":[184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":184,"start_interval_clock_positions":[475,1211],"circle_positions":734,"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":[476,1212,1948],"clock_positions":[476,1212,1948],"native_values":[119,486,119],"rotation_degrees":77.6086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,486,119],"beta":{"interval_sums":[278434,263754,266690],"interval_residues":[248,248,248],"display_cycle":[248,248,248],"intervals":[{"from_index":476,"to_index":1212,"sum":278434,"residue":248},{"from_index":1212,"to_index":1948,"sum":263754,"residue":248},{"from_index":1948,"to_index":476,"sum":266690,"residue":248}],"minimal_cycle":[248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[476,1212],"circle_positions":734,"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":[477,1213,1949],"clock_positions":[477,1213,1949],"native_values":[302,669,669],"rotation_degrees":77.77173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[302,669,669],"beta":{"interval_sums":[278618,263204,266140],"interval_residues":[432,432,432],"display_cycle":[432,432,432],"intervals":[{"from_index":477,"to_index":1213,"sum":278618,"residue":432},{"from_index":1213,"to_index":1949,"sum":263204,"residue":432},{"from_index":1949,"to_index":477,"sum":266140,"residue":432}],"minimal_cycle":[432],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":432,"start_interval_clock_positions":[477,1213],"circle_positions":734,"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":[478,1214,1950],"clock_positions":[478,1214,1950],"native_values":[421,421,54],"rotation_degrees":77.93478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[421,421,54],"beta":{"interval_sums":[278866,263452,266388],"interval_residues":[680,680,680],"display_cycle":[680,680,680],"intervals":[{"from_index":478,"to_index":1214,"sum":278866,"residue":680},{"from_index":1214,"to_index":1950,"sum":263452,"residue":680},{"from_index":1950,"to_index":478,"sum":266388,"residue":680}],"minimal_cycle":[680],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":680,"start_interval_clock_positions":[478,1214],"circle_positions":734,"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":[479,1215,1951],"clock_positions":[479,1215,1951],"native_values":[723,356,723],"rotation_degrees":78.09782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[723,356,723],"beta":{"interval_sums":[278564,263150,266086],"interval_residues":[378,378,378],"display_cycle":[378,378,378],"intervals":[{"from_index":479,"to_index":1215,"sum":278564,"residue":378},{"from_index":1215,"to_index":1951,"sum":263150,"residue":378},{"from_index":1951,"to_index":479,"sum":266086,"residue":378}],"minimal_cycle":[378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[479,1215],"circle_positions":734,"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":[480,1216,1952],"clock_positions":[480,1216,1952],"native_values":[410,43,43],"rotation_degrees":78.26086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[410,43,43],"beta":{"interval_sums":[278510,263830,266766],"interval_residues":[324,324,324],"display_cycle":[324,324,324],"intervals":[{"from_index":480,"to_index":1216,"sum":278510,"residue":324},{"from_index":1216,"to_index":1952,"sum":263830,"residue":324},{"from_index":1952,"to_index":480,"sum":266766,"residue":324}],"minimal_cycle":[324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[480,1216],"circle_positions":734,"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":[481,1217,1953],"clock_positions":[481,1217,1953],"native_values":[399,399,32],"rotation_degrees":78.42391304347827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[399,399,32],"beta":{"interval_sums":[278154,263474,267144],"interval_residues":[702,702,702],"display_cycle":[702,702,702],"intervals":[{"from_index":481,"to_index":1217,"sum":278154,"residue":702},{"from_index":1217,"to_index":1953,"sum":263474,"residue":702},{"from_index":1953,"to_index":481,"sum":267144,"residue":702}],"minimal_cycle":[702],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":702,"start_interval_clock_positions":[481,1217],"circle_positions":734,"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":[482,1218,1954],"clock_positions":[482,1218,1954],"native_values":[75,442,75],"rotation_degrees":78.58695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,442,75],"beta":{"interval_sums":[278478,263064,267468],"interval_residues":[292,292,292],"display_cycle":[292,292,292],"intervals":[{"from_index":482,"to_index":1218,"sum":278478,"residue":292},{"from_index":1218,"to_index":1954,"sum":263064,"residue":292},{"from_index":1954,"to_index":482,"sum":267468,"residue":292}],"minimal_cycle":[292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[482,1218],"circle_positions":734,"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":[483,1219,1955],"clock_positions":[483,1219,1955],"native_values":[474,107,107],"rotation_degrees":78.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[474,107,107],"beta":{"interval_sums":[278446,263032,267436],"interval_residues":[260,260,260],"display_cycle":[260,260,260],"intervals":[{"from_index":483,"to_index":1219,"sum":278446,"residue":260},{"from_index":1219,"to_index":1955,"sum":263032,"residue":260},{"from_index":1955,"to_index":483,"sum":267436,"residue":260}],"minimal_cycle":[260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":260,"start_interval_clock_positions":[483,1219],"circle_positions":734,"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":[484,1220,1956],"clock_positions":[484,1220,1956],"native_values":[549,549,182],"rotation_degrees":78.91304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[549,549,182],"beta":{"interval_sums":[278004,262590,267728],"interval_residues":[552,552,552],"display_cycle":[552,552,552],"intervals":[{"from_index":484,"to_index":1220,"sum":278004,"residue":552},{"from_index":1220,"to_index":1956,"sum":262590,"residue":552},{"from_index":1956,"to_index":484,"sum":267728,"residue":552}],"minimal_cycle":[552],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[484,1220],"circle_positions":734,"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":[485,1221,1957],"clock_positions":[485,1221,1957],"native_values":[289,656,289],"rotation_degrees":79.07608695652173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[289,656,289],"beta":{"interval_sums":[278264,262116,267988],"interval_residues":[78,78,78],"display_cycle":[78,78,78],"intervals":[{"from_index":485,"to_index":1221,"sum":278264,"residue":78},{"from_index":1221,"to_index":1957,"sum":262116,"residue":78},{"from_index":1957,"to_index":485,"sum":267988,"residue":78}],"minimal_cycle":[78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":78,"start_interval_clock_positions":[485,1221],"circle_positions":734,"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":[486,1222,1958],"clock_positions":[486,1222,1958],"native_values":[104,471,471],"rotation_degrees":79.23913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[104,471,471],"beta":{"interval_sums":[278816,261934,267806],"interval_residues":[630,630,630],"display_cycle":[630,630,630],"intervals":[{"from_index":486,"to_index":1222,"sum":278816,"residue":630},{"from_index":1222,"to_index":1958,"sum":261934,"residue":630},{"from_index":1958,"to_index":486,"sum":267806,"residue":630}],"minimal_cycle":[630],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":630,"start_interval_clock_positions":[486,1222],"circle_positions":734,"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":[487,1223,1959],"clock_positions":[487,1223,1959],"native_values":[393,393,26],"rotation_degrees":79.40217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[393,393,26],"beta":{"interval_sums":[278894,262012,267884],"interval_residues":[708,708,708],"display_cycle":[708,708,708],"intervals":[{"from_index":487,"to_index":1223,"sum":278894,"residue":708},{"from_index":1223,"to_index":1959,"sum":262012,"residue":708},{"from_index":1959,"to_index":487,"sum":267884,"residue":708}],"minimal_cycle":[708],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":708,"start_interval_clock_positions":[487,1223],"circle_positions":734,"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":[488,1224,1960],"clock_positions":[488,1224,1960],"native_values":[497,130,497],"rotation_degrees":79.56521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[497,130,497],"beta":{"interval_sums":[278790,261908,267780],"interval_residues":[604,604,604],"display_cycle":[604,604,604],"intervals":[{"from_index":488,"to_index":1224,"sum":278790,"residue":604},{"from_index":1224,"to_index":1960,"sum":261908,"residue":604},{"from_index":1960,"to_index":488,"sum":267780,"residue":604}],"minimal_cycle":[604],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":604,"start_interval_clock_positions":[488,1224],"circle_positions":734,"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":[489,1225,1961],"clock_positions":[489,1225,1961],"native_values":[156,523,523],"rotation_degrees":79.72826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[156,523,523],"beta":{"interval_sums":[278764,261882,267754],"interval_residues":[578,578,578],"display_cycle":[578,578,578],"intervals":[{"from_index":489,"to_index":1225,"sum":278764,"residue":578},{"from_index":1225,"to_index":1961,"sum":261882,"residue":578},{"from_index":1961,"to_index":489,"sum":267754,"residue":578}],"minimal_cycle":[578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[489,1225],"circle_positions":734,"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":[490,1226,1962],"clock_positions":[490,1226,1962],"native_values":[653,653,286],"rotation_degrees":79.8913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,653,286],"beta":{"interval_sums":[278634,261752,267624],"interval_residues":[448,448,448],"display_cycle":[448,448,448],"intervals":[{"from_index":490,"to_index":1226,"sum":278634,"residue":448},{"from_index":1226,"to_index":1962,"sum":261752,"residue":448},{"from_index":1962,"to_index":490,"sum":267624,"residue":448}],"minimal_cycle":[448],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":448,"start_interval_clock_positions":[490,1226],"circle_positions":734,"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":[491,1227,1963],"clock_positions":[491,1227,1963],"native_values":[75,442,75],"rotation_degrees":80.05434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,442,75],"beta":{"interval_sums":[279212,261596,268202],"interval_residues":[292,292,292],"display_cycle":[292,292,292],"intervals":[{"from_index":491,"to_index":1227,"sum":279212,"residue":292},{"from_index":1227,"to_index":1963,"sum":261596,"residue":292},{"from_index":1963,"to_index":491,"sum":268202,"residue":292}],"minimal_cycle":[292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[491,1227],"circle_positions":734,"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":[492,1228,1964],"clock_positions":[492,1228,1964],"native_values":[728,361,361],"rotation_degrees":80.21739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[728,361,361],"beta":{"interval_sums":[278926,261310,267916],"interval_residues":[6,6,6],"display_cycle":[6,6,6],"intervals":[{"from_index":492,"to_index":1228,"sum":278926,"residue":6},{"from_index":1228,"to_index":1964,"sum":261310,"residue":6},{"from_index":1964,"to_index":492,"sum":267916,"residue":6}],"minimal_cycle":[6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[492,1228],"circle_positions":734,"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":[493,1229,1965],"clock_positions":[493,1229,1965],"native_values":[69,69,436],"rotation_degrees":80.3804347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[69,69,436],"beta":{"interval_sums":[279218,261602,268208],"interval_residues":[298,298,298],"display_cycle":[298,298,298],"intervals":[{"from_index":493,"to_index":1229,"sum":279218,"residue":298},{"from_index":1229,"to_index":1965,"sum":261602,"residue":298},{"from_index":1965,"to_index":493,"sum":268208,"residue":298}],"minimal_cycle":[298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[493,1229],"circle_positions":734,"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":[494,1230,1966],"clock_positions":[494,1230,1966],"native_values":[63,430,63],"rotation_degrees":80.54347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[63,430,63],"beta":{"interval_sums":[279224,261608,268214],"interval_residues":[304,304,304],"display_cycle":[304,304,304],"intervals":[{"from_index":494,"to_index":1230,"sum":279224,"residue":304},{"from_index":1230,"to_index":1966,"sum":261608,"residue":304},{"from_index":1966,"to_index":494,"sum":268214,"residue":304}],"minimal_cycle":[304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":304,"start_interval_clock_positions":[494,1230],"circle_positions":734,"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":[495,1231,1967],"clock_positions":[495,1231,1967],"native_values":[132,499,499],"rotation_degrees":80.70652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,499,499],"beta":{"interval_sums":[279522,261172,267778],"interval_residues":[602,602,602],"display_cycle":[602,602,602],"intervals":[{"from_index":495,"to_index":1231,"sum":279522,"residue":602},{"from_index":1231,"to_index":1967,"sum":261172,"residue":602},{"from_index":1967,"to_index":495,"sum":267778,"residue":602}],"minimal_cycle":[602],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":602,"start_interval_clock_positions":[495,1231],"circle_positions":734,"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":[496,1232,1968],"clock_positions":[496,1232,1968],"native_values":[195,195,562],"rotation_degrees":80.8695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,195,562],"beta":{"interval_sums":[279826,261476,267348],"interval_residues":[172,172,172],"display_cycle":[172,172,172],"intervals":[{"from_index":496,"to_index":1232,"sum":279826,"residue":172},{"from_index":1232,"to_index":1968,"sum":261476,"residue":172},{"from_index":1968,"to_index":496,"sum":267348,"residue":172}],"minimal_cycle":[172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":172,"start_interval_clock_positions":[496,1232],"circle_positions":734,"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":[497,1233,1969],"clock_positions":[497,1233,1969],"native_values":[327,694,327],"rotation_degrees":81.03260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,694,327],"beta":{"interval_sums":[279694,261344,267216],"interval_residues":[40,40,40],"display_cycle":[40,40,40],"intervals":[{"from_index":497,"to_index":1233,"sum":279694,"residue":40},{"from_index":1233,"to_index":1969,"sum":261344,"residue":40},{"from_index":1969,"to_index":497,"sum":267216,"residue":40}],"minimal_cycle":[40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[497,1233],"circle_positions":734,"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":[498,1234,1970],"clock_positions":[498,1234,1970],"native_values":[522,155,155],"rotation_degrees":81.19565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[522,155,155],"beta":{"interval_sums":[279866,261516,267388],"interval_residues":[212,212,212],"display_cycle":[212,212,212],"intervals":[{"from_index":498,"to_index":1234,"sum":279866,"residue":212},{"from_index":1234,"to_index":1970,"sum":261516,"residue":212},{"from_index":1970,"to_index":498,"sum":267388,"residue":212}],"minimal_cycle":[212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":212,"start_interval_clock_positions":[498,1234],"circle_positions":734,"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":[499,1235,1971],"clock_positions":[499,1235,1971],"native_values":[115,115,482],"rotation_degrees":81.3586956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,115,482],"beta":{"interval_sums":[279906,261556,267428],"interval_residues":[252,252,252],"display_cycle":[252,252,252],"intervals":[{"from_index":499,"to_index":1235,"sum":279906,"residue":252},{"from_index":1235,"to_index":1971,"sum":261556,"residue":252},{"from_index":1971,"to_index":499,"sum":267428,"residue":252}],"minimal_cycle":[252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":252,"start_interval_clock_positions":[499,1235],"circle_positions":734,"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":[500,1236,1972],"clock_positions":[500,1236,1972],"native_values":[637,270,637],"rotation_degrees":81.52173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[637,270,637],"beta":{"interval_sums":[279384,261768,266906],"interval_residues":[464,464,464],"display_cycle":[464,464,464],"intervals":[{"from_index":500,"to_index":1236,"sum":279384,"residue":464},{"from_index":1236,"to_index":1972,"sum":261768,"residue":464},{"from_index":1972,"to_index":500,"sum":266906,"residue":464}],"minimal_cycle":[464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":464,"start_interval_clock_positions":[500,1236],"circle_positions":734,"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":[501,1237,1973],"clock_positions":[501,1237,1973],"native_values":[18,385,385],"rotation_degrees":81.68478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[18,385,385],"beta":{"interval_sums":[279636,262020,267158],"interval_residues":[716,716,716],"display_cycle":[716,716,716],"intervals":[{"from_index":501,"to_index":1237,"sum":279636,"residue":716},{"from_index":1237,"to_index":1973,"sum":262020,"residue":716},{"from_index":1973,"to_index":501,"sum":267158,"residue":716}],"minimal_cycle":[716],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":716,"start_interval_clock_positions":[501,1237],"circle_positions":734,"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":[502,1238,1974],"clock_positions":[502,1238,1974],"native_values":[655,655,288],"rotation_degrees":81.84782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[655,655,288],"beta":{"interval_sums":[279366,261750,266888],"interval_residues":[446,446,446],"display_cycle":[446,446,446],"intervals":[{"from_index":502,"to_index":1238,"sum":279366,"residue":446},{"from_index":1238,"to_index":1974,"sum":261750,"residue":446},{"from_index":1974,"to_index":502,"sum":266888,"residue":446}],"minimal_cycle":[446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[502,1238],"circle_positions":734,"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":[503,1239,1975],"clock_positions":[503,1239,1975],"native_values":[673,306,673],"rotation_degrees":82.01086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[673,306,673],"beta":{"interval_sums":[279348,261732,266870],"interval_residues":[428,428,428],"display_cycle":[428,428,428],"intervals":[{"from_index":503,"to_index":1239,"sum":279348,"residue":428},{"from_index":1239,"to_index":1975,"sum":261732,"residue":428},{"from_index":1975,"to_index":503,"sum":266870,"residue":428}],"minimal_cycle":[428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[503,1239],"circle_positions":734,"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":[504,1240,1976],"clock_positions":[504,1240,1976],"native_values":[594,227,227],"rotation_degrees":82.17391304347827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[594,227,227],"beta":{"interval_sums":[279060,262178,267316],"interval_residues":[140,140,140],"display_cycle":[140,140,140],"intervals":[{"from_index":504,"to_index":1240,"sum":279060,"residue":140},{"from_index":1240,"to_index":1976,"sum":262178,"residue":140},{"from_index":1976,"to_index":504,"sum":267316,"residue":140}],"minimal_cycle":[140],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":140,"start_interval_clock_positions":[504,1240],"circle_positions":734,"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":[505,1241,1977],"clock_positions":[505,1241,1977],"native_values":[533,533,166],"rotation_degrees":82.33695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[533,533,166],"beta":{"interval_sums":[278754,261872,267744],"interval_residues":[568,568,568],"display_cycle":[568,568,568],"intervals":[{"from_index":505,"to_index":1241,"sum":278754,"residue":568},{"from_index":1241,"to_index":1977,"sum":261872,"residue":568},{"from_index":1977,"to_index":505,"sum":267744,"residue":568}],"minimal_cycle":[568],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":568,"start_interval_clock_positions":[505,1241],"circle_positions":734,"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":[506,1242,1978],"clock_positions":[506,1242,1978],"native_values":[393,26,393],"rotation_degrees":82.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[393,26,393],"beta":{"interval_sums":[278894,262012,267884],"interval_residues":[708,708,708],"display_cycle":[708,708,708],"intervals":[{"from_index":506,"to_index":1242,"sum":278894,"residue":708},{"from_index":1242,"to_index":1978,"sum":262012,"residue":708},{"from_index":1978,"to_index":506,"sum":267884,"residue":708}],"minimal_cycle":[708],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":708,"start_interval_clock_positions":[506,1242],"circle_positions":734,"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":[507,1243,1979],"clock_positions":[507,1243,1979],"native_values":[192,559,559],"rotation_degrees":82.66304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[192,559,559],"beta":{"interval_sums":[278728,261846,267718],"interval_residues":[542,542,542],"display_cycle":[542,542,542],"intervals":[{"from_index":507,"to_index":1243,"sum":278728,"residue":542},{"from_index":1243,"to_index":1979,"sum":261846,"residue":542},{"from_index":1979,"to_index":507,"sum":267718,"residue":542}],"minimal_cycle":[542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[507,1243],"circle_positions":734,"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":[508,1244,1980],"clock_positions":[508,1244,1980],"native_values":[585,585,218],"rotation_degrees":82.82608695652173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[585,585,218],"beta":{"interval_sums":[278702,261820,267692],"interval_residues":[516,516,516],"display_cycle":[516,516,516],"intervals":[{"from_index":508,"to_index":1244,"sum":278702,"residue":516},{"from_index":1244,"to_index":1980,"sum":261820,"residue":516},{"from_index":1980,"to_index":508,"sum":267692,"residue":516}],"minimal_cycle":[516],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":516,"start_interval_clock_positions":[508,1244],"circle_positions":734,"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":[509,1245,1981],"clock_positions":[509,1245,1981],"native_values":[43,410,43],"rotation_degrees":82.98913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[43,410,43],"beta":{"interval_sums":[279244,261628,268234],"interval_residues":[324,324,324],"display_cycle":[324,324,324],"intervals":[{"from_index":509,"to_index":1245,"sum":279244,"residue":324},{"from_index":1245,"to_index":1981,"sum":261628,"residue":324},{"from_index":1981,"to_index":509,"sum":268234,"residue":324}],"minimal_cycle":[324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[509,1245],"circle_positions":734,"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":[510,1246,1982],"clock_positions":[510,1246,1982],"native_values":[628,261,261],"rotation_degrees":83.15217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[628,261,261],"beta":{"interval_sums":[279026,261410,268016],"interval_residues":[106,106,106],"display_cycle":[106,106,106],"intervals":[{"from_index":510,"to_index":1246,"sum":279026,"residue":106},{"from_index":1246,"to_index":1982,"sum":261410,"residue":106},{"from_index":1982,"to_index":510,"sum":268016,"residue":106}],"minimal_cycle":[106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[510,1246],"circle_positions":734,"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":[511,1247,1983],"clock_positions":[511,1247,1983],"native_values":[671,671,304],"rotation_degrees":83.31521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,671,304],"beta":{"interval_sums":[278616,261000,268340],"interval_residues":[430,430,430],"display_cycle":[430,430,430],"intervals":[{"from_index":511,"to_index":1247,"sum":278616,"residue":430},{"from_index":1247,"to_index":1983,"sum":261000,"residue":430},{"from_index":1983,"to_index":511,"sum":268340,"residue":430}],"minimal_cycle":[430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[511,1247],"circle_positions":734,"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":[512,1248,1984],"clock_positions":[512,1248,1984],"native_values":[565,198,565],"rotation_degrees":83.47826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,198,565],"beta":{"interval_sums":[278722,261106,268446],"interval_residues":[536,536,536],"display_cycle":[536,536,536],"intervals":[{"from_index":512,"to_index":1248,"sum":278722,"residue":536},{"from_index":1248,"to_index":1984,"sum":261106,"residue":536},{"from_index":1984,"to_index":512,"sum":268446,"residue":536}],"minimal_cycle":[536],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":536,"start_interval_clock_positions":[512,1248],"circle_positions":734,"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":[513,1249,1985],"clock_positions":[513,1249,1985],"native_values":[502,135,135],"rotation_degrees":83.6413043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,135,135],"beta":{"interval_sums":[278418,261536,268876],"interval_residues":[232,232,232],"display_cycle":[232,232,232],"intervals":[{"from_index":513,"to_index":1249,"sum":278418,"residue":232},{"from_index":1249,"to_index":1985,"sum":261536,"residue":232},{"from_index":1985,"to_index":513,"sum":268876,"residue":232}],"minimal_cycle":[232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[513,1249],"circle_positions":734,"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":[514,1250,1986],"clock_positions":[514,1250,1986],"native_values":[333,333,700],"rotation_degrees":83.80434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,333,700],"beta":{"interval_sums":[278220,261338,268678],"interval_residues":[34,34,34],"display_cycle":[34,34,34],"intervals":[{"from_index":514,"to_index":1250,"sum":278220,"residue":34},{"from_index":1250,"to_index":1986,"sum":261338,"residue":34},{"from_index":1986,"to_index":514,"sum":268678,"residue":34}],"minimal_cycle":[34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[514,1250],"circle_positions":734,"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":[515,1251,1987],"clock_positions":[515,1251,1987],"native_values":[101,468,101],"rotation_degrees":83.96739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,468,101],"beta":{"interval_sums":[278452,261570,268910],"interval_residues":[266,266,266],"display_cycle":[266,266,266],"intervals":[{"from_index":515,"to_index":1251,"sum":278452,"residue":266},{"from_index":1251,"to_index":1987,"sum":261570,"residue":266},{"from_index":1987,"to_index":515,"sum":268910,"residue":266}],"minimal_cycle":[266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[515,1251],"circle_positions":734,"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":[516,1252,1988],"clock_positions":[516,1252,1988],"native_values":[434,67,67],"rotation_degrees":84.1304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[434,67,67],"beta":{"interval_sums":[278486,261604,268944],"interval_residues":[300,300,300],"display_cycle":[300,300,300],"intervals":[{"from_index":516,"to_index":1252,"sum":278486,"residue":300},{"from_index":1252,"to_index":1988,"sum":261604,"residue":300},{"from_index":1988,"to_index":516,"sum":268944,"residue":300}],"minimal_cycle":[300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":300,"start_interval_clock_positions":[516,1252],"circle_positions":734,"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":[517,1253,1989],"clock_positions":[517,1253,1989],"native_values":[535,535,168],"rotation_degrees":84.29347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[535,535,168],"beta":{"interval_sums":[278018,261136,269210],"interval_residues":[566,566,566],"display_cycle":[566,566,566],"intervals":[{"from_index":517,"to_index":1253,"sum":278018,"residue":566},{"from_index":1253,"to_index":1989,"sum":261136,"residue":566},{"from_index":1989,"to_index":517,"sum":269210,"residue":566}],"minimal_cycle":[566],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":566,"start_interval_clock_positions":[517,1253],"circle_positions":734,"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":[518,1254,1990],"clock_positions":[518,1254,1990],"native_values":[235,602,235],"rotation_degrees":84.45652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,602,235],"beta":{"interval_sums":[278318,260702,269510],"interval_residues":[132,132,132],"display_cycle":[132,132,132],"intervals":[{"from_index":518,"to_index":1254,"sum":278318,"residue":132},{"from_index":1254,"to_index":1990,"sum":260702,"residue":132},{"from_index":1990,"to_index":518,"sum":269510,"residue":132}],"minimal_cycle":[132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[518,1254],"circle_positions":734,"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":[519,1255,1991],"clock_positions":[519,1255,1991],"native_values":[36,403,403],"rotation_degrees":84.6195652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,403,403],"beta":{"interval_sums":[278884,260534,269342],"interval_residues":[698,698,698],"display_cycle":[698,698,698],"intervals":[{"from_index":519,"to_index":1255,"sum":278884,"residue":698},{"from_index":1255,"to_index":1991,"sum":260534,"residue":698},{"from_index":1991,"to_index":519,"sum":269342,"residue":698}],"minimal_cycle":[698],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":698,"start_interval_clock_positions":[519,1255],"circle_positions":734,"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":[520,1256,1992],"clock_positions":[520,1256,1992],"native_values":[271,271,638],"rotation_degrees":84.78260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[271,271,638],"beta":{"interval_sums":[279016,260666,268740],"interval_residues":[96,96,96],"display_cycle":[96,96,96],"intervals":[{"from_index":520,"to_index":1256,"sum":279016,"residue":96},{"from_index":1256,"to_index":1992,"sum":260666,"residue":96},{"from_index":1992,"to_index":520,"sum":268740,"residue":96}],"minimal_cycle":[96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[520,1256],"circle_positions":734,"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":[521,1257,1993],"clock_positions":[521,1257,1993],"native_values":[307,674,307],"rotation_degrees":84.94565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,674,307],"beta":{"interval_sums":[278980,260630,268704],"interval_residues":[60,60,60],"display_cycle":[60,60,60],"intervals":[{"from_index":521,"to_index":1257,"sum":278980,"residue":60},{"from_index":1257,"to_index":1993,"sum":260630,"residue":60},{"from_index":1993,"to_index":521,"sum":268704,"residue":60}],"minimal_cycle":[60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[521,1257],"circle_positions":734,"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":[522,1258,1994],"clock_positions":[522,1258,1994],"native_values":[578,211,211],"rotation_degrees":85.1086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[578,211,211],"beta":{"interval_sums":[279076,260726,268800],"interval_residues":[156,156,156],"display_cycle":[156,156,156],"intervals":[{"from_index":522,"to_index":1258,"sum":279076,"residue":156},{"from_index":1258,"to_index":1994,"sum":260726,"residue":156},{"from_index":1994,"to_index":522,"sum":268800,"residue":156}],"minimal_cycle":[156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[522,1258],"circle_positions":734,"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":[523,1259,1995],"clock_positions":[523,1259,1995],"native_values":[151,151,518],"rotation_degrees":85.27173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,151,518],"beta":{"interval_sums":[279136,260786,268860],"interval_residues":[216,216,216],"display_cycle":[216,216,216],"intervals":[{"from_index":523,"to_index":1259,"sum":279136,"residue":216},{"from_index":1259,"to_index":1995,"sum":260786,"residue":216},{"from_index":1995,"to_index":523,"sum":268860,"residue":216}],"minimal_cycle":[216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[523,1259],"circle_positions":734,"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":[524,1260,1996],"clock_positions":[524,1260,1996],"native_values":[729,362,729],"rotation_degrees":85.43478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[729,362,729],"beta":{"interval_sums":[278558,260942,268282],"interval_residues":[372,372,372],"display_cycle":[372,372,372],"intervals":[{"from_index":524,"to_index":1260,"sum":278558,"residue":372},{"from_index":1260,"to_index":1996,"sum":260942,"residue":372},{"from_index":1996,"to_index":524,"sum":268282,"residue":372}],"minimal_cycle":[372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":372,"start_interval_clock_positions":[524,1260],"circle_positions":734,"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":[525,1261,1997],"clock_positions":[525,1261,1997],"native_values":[146,513,513],"rotation_degrees":85.59782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[146,513,513],"beta":{"interval_sums":[278774,261158,268498],"interval_residues":[588,588,588],"display_cycle":[588,588,588],"intervals":[{"from_index":525,"to_index":1261,"sum":278774,"residue":588},{"from_index":1261,"to_index":1997,"sum":261158,"residue":588},{"from_index":1997,"to_index":525,"sum":268498,"residue":588}],"minimal_cycle":[588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[525,1261],"circle_positions":734,"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":[526,1262,1998],"clock_positions":[526,1262,1998],"native_values":[141,141,508],"rotation_degrees":85.76086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,141,508],"beta":{"interval_sums":[279146,261530,268136],"interval_residues":[226,226,226],"display_cycle":[226,226,226],"intervals":[{"from_index":526,"to_index":1262,"sum":279146,"residue":226},{"from_index":1262,"to_index":1998,"sum":261530,"residue":226},{"from_index":1998,"to_index":526,"sum":268136,"residue":226}],"minimal_cycle":[226],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":226,"start_interval_clock_positions":[526,1262],"circle_positions":734,"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":[527,1263,1999],"clock_positions":[527,1263,1999],"native_values":[287,654,287],"rotation_degrees":85.92391304347827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,654,287],"beta":{"interval_sums":[279000,261384,267990],"interval_residues":[80,80,80],"display_cycle":[80,80,80],"intervals":[{"from_index":527,"to_index":1263,"sum":279000,"residue":80},{"from_index":1263,"to_index":1999,"sum":261384,"residue":80},{"from_index":1999,"to_index":527,"sum":267990,"residue":80}],"minimal_cycle":[80],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[527,1263],"circle_positions":734,"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":[528,1264,2000],"clock_positions":[528,1264,2000],"native_values":[428,61,61],"rotation_degrees":86.08695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,61,61],"beta":{"interval_sums":[279226,261610,268216],"interval_residues":[306,306,306],"display_cycle":[306,306,306],"intervals":[{"from_index":528,"to_index":1264,"sum":279226,"residue":306},{"from_index":1264,"to_index":2000,"sum":261610,"residue":306},{"from_index":2000,"to_index":528,"sum":268216,"residue":306}],"minimal_cycle":[306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[528,1264],"circle_positions":734,"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":[529,1265,2001],"clock_positions":[529,1265,2001],"native_values":[715,715,348],"rotation_degrees":86.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[715,715,348],"beta":{"interval_sums":[278572,260956,268296],"interval_residues":[386,386,386],"display_cycle":[386,386,386],"intervals":[{"from_index":529,"to_index":1265,"sum":278572,"residue":386},{"from_index":1265,"to_index":2001,"sum":260956,"residue":386},{"from_index":2001,"to_index":529,"sum":268296,"residue":386}],"minimal_cycle":[386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":386,"start_interval_clock_positions":[529,1265],"circle_positions":734,"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":[530,1266,2002],"clock_positions":[530,1266,2002],"native_values":[409,42,409],"rotation_degrees":86.41304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,42,409],"beta":{"interval_sums":[278878,261262,268602],"interval_residues":[692,692,692],"display_cycle":[692,692,692],"intervals":[{"from_index":530,"to_index":1266,"sum":278878,"residue":692},{"from_index":1266,"to_index":2002,"sum":261262,"residue":692},{"from_index":2002,"to_index":530,"sum":268602,"residue":692}],"minimal_cycle":[692],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":692,"start_interval_clock_positions":[530,1266],"circle_positions":734,"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":[531,1267,2003],"clock_positions":[531,1267,2003],"native_values":[390,23,23],"rotation_degrees":86.57608695652173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[390,23,23],"beta":{"interval_sums":[278530,261648,268988],"interval_residues":[344,344,344],"display_cycle":[344,344,344],"intervals":[{"from_index":531,"to_index":1267,"sum":278530,"residue":344},{"from_index":1267,"to_index":2003,"sum":261648,"residue":344},{"from_index":2003,"to_index":531,"sum":268988,"residue":344}],"minimal_cycle":[344],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":344,"start_interval_clock_positions":[531,1267],"circle_positions":734,"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":[532,1268,2004],"clock_positions":[532,1268,2004],"native_values":[65,65,432],"rotation_degrees":86.73913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,65,432],"beta":{"interval_sums":[278488,261606,268946],"interval_residues":[302,302,302],"display_cycle":[302,302,302],"intervals":[{"from_index":532,"to_index":1268,"sum":278488,"residue":302},{"from_index":1268,"to_index":2004,"sum":261606,"residue":302},{"from_index":2004,"to_index":532,"sum":268946,"residue":302}],"minimal_cycle":[302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":302,"start_interval_clock_positions":[532,1268],"circle_positions":734,"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":[533,1269,2005],"clock_positions":[533,1269,2005],"native_values":[455,88,455],"rotation_degrees":86.90217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[455,88,455],"beta":{"interval_sums":[278098,261950,268556],"interval_residues":[646,646,646],"display_cycle":[646,646,646],"intervals":[{"from_index":533,"to_index":1269,"sum":278098,"residue":646},{"from_index":1269,"to_index":2005,"sum":261950,"residue":646},{"from_index":2005,"to_index":533,"sum":268556,"residue":646}],"minimal_cycle":[646],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":646,"start_interval_clock_positions":[533,1269],"circle_positions":734,"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":[534,1270,2006],"clock_positions":[534,1270,2006],"native_values":[520,153,153],"rotation_degrees":87.06521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[520,153,153],"beta":{"interval_sums":[277666,262252,268858],"interval_residues":[214,214,214],"display_cycle":[214,214,214],"intervals":[{"from_index":534,"to_index":1270,"sum":277666,"residue":214},{"from_index":1270,"to_index":2006,"sum":262252,"residue":214},{"from_index":2006,"to_index":534,"sum":268858,"residue":214}],"minimal_cycle":[214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":214,"start_interval_clock_positions":[534,1270],"circle_positions":734,"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":[535,1271,2007],"clock_positions":[535,1271,2007],"native_values":[241,241,608],"rotation_degrees":87.22826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,241,608],"beta":{"interval_sums":[277578,262164,268770],"interval_residues":[126,126,126],"display_cycle":[126,126,126],"intervals":[{"from_index":535,"to_index":1271,"sum":277578,"residue":126},{"from_index":1271,"to_index":2007,"sum":262164,"residue":126},{"from_index":2007,"to_index":535,"sum":268770,"residue":126}],"minimal_cycle":[126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[535,1271],"circle_positions":734,"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":[536,1272,2008],"clock_positions":[536,1272,2008],"native_values":[27,394,27],"rotation_degrees":87.3913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,394,27],"beta":{"interval_sums":[277792,262378,268984],"interval_residues":[340,340,340],"display_cycle":[340,340,340],"intervals":[{"from_index":536,"to_index":1272,"sum":277792,"residue":340},{"from_index":1272,"to_index":2008,"sum":262378,"residue":340},{"from_index":2008,"to_index":536,"sum":268984,"residue":340}],"minimal_cycle":[340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":340,"start_interval_clock_positions":[536,1272],"circle_positions":734,"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":[537,1273,2009],"clock_positions":[537,1273,2009],"native_values":[268,635,635],"rotation_degrees":87.55434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[268,635,635],"beta":{"interval_sums":[277918,261770,268376],"interval_residues":[466,466,466],"display_cycle":[466,466,466],"intervals":[{"from_index":537,"to_index":1273,"sum":277918,"residue":466},{"from_index":1273,"to_index":2009,"sum":261770,"residue":466},{"from_index":2009,"to_index":537,"sum":268376,"residue":466}],"minimal_cycle":[466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[537,1273],"circle_positions":734,"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":[538,1274,2010],"clock_positions":[538,1274,2010],"native_values":[295,295,662],"rotation_degrees":87.71739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,295,662],"beta":{"interval_sums":[278258,262110,267982],"interval_residues":[72,72,72],"display_cycle":[72,72,72],"intervals":[{"from_index":538,"to_index":1274,"sum":278258,"residue":72},{"from_index":1274,"to_index":2010,"sum":262110,"residue":72},{"from_index":2010,"to_index":538,"sum":267982,"residue":72}],"minimal_cycle":[72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[538,1274],"circle_positions":734,"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":[539,1275,2011],"clock_positions":[539,1275,2011],"native_values":[563,196,563],"rotation_degrees":87.8804347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[563,196,563],"beta":{"interval_sums":[277990,262576,267714],"interval_residues":[538,538,538],"display_cycle":[538,538,538],"intervals":[{"from_index":539,"to_index":1275,"sum":277990,"residue":538},{"from_index":1275,"to_index":2011,"sum":262576,"residue":538},{"from_index":2011,"to_index":539,"sum":267714,"residue":538}],"minimal_cycle":[538],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":538,"start_interval_clock_positions":[539,1275],"circle_positions":734,"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":[540,1276,2012],"clock_positions":[540,1276,2012],"native_values":[124,491,491],"rotation_degrees":88.04347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[124,491,491],"beta":{"interval_sums":[278062,262648,267786],"interval_residues":[610,610,610],"display_cycle":[610,610,610],"intervals":[{"from_index":540,"to_index":1276,"sum":278062,"residue":610},{"from_index":1276,"to_index":2012,"sum":262648,"residue":610},{"from_index":2012,"to_index":540,"sum":267786,"residue":610}],"minimal_cycle":[610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[540,1276],"circle_positions":734,"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":[541,1277,2013],"clock_positions":[541,1277,2013],"native_values":[687,687,320],"rotation_degrees":88.20652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[687,687,320],"beta":{"interval_sums":[277866,262452,267590],"interval_residues":[414,414,414],"display_cycle":[414,414,414],"intervals":[{"from_index":541,"to_index":1277,"sum":277866,"residue":414},{"from_index":1277,"to_index":2013,"sum":262452,"residue":414},{"from_index":2013,"to_index":541,"sum":267590,"residue":414}],"minimal_cycle":[414],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[541,1277],"circle_positions":734,"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":[542,1278,2014],"clock_positions":[542,1278,2014],"native_values":[77,444,77],"rotation_degrees":88.3695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,444,77],"beta":{"interval_sums":[278476,262328,268200],"interval_residues":[290,290,290],"display_cycle":[290,290,290],"intervals":[{"from_index":542,"to_index":1278,"sum":278476,"residue":290},{"from_index":1278,"to_index":2014,"sum":262328,"residue":290},{"from_index":2014,"to_index":542,"sum":268200,"residue":290}],"minimal_cycle":[290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[542,1278],"circle_positions":734,"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":[543,1279,2015],"clock_positions":[543,1279,2015],"native_values":[30,397,397],"rotation_degrees":88.53260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[30,397,397],"beta":{"interval_sums":[278890,262008,267880],"interval_residues":[704,704,704],"display_cycle":[704,704,704],"intervals":[{"from_index":543,"to_index":1279,"sum":278890,"residue":704},{"from_index":1279,"to_index":2015,"sum":262008,"residue":704},{"from_index":2015,"to_index":543,"sum":267880,"residue":704}],"minimal_cycle":[704],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":704,"start_interval_clock_positions":[543,1279],"circle_positions":734,"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":[544,1280,2016],"clock_positions":[544,1280,2016],"native_values":[107,107,474],"rotation_degrees":88.69565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[107,107,474],"beta":{"interval_sums":[279180,262298,267436],"interval_residues":[260,260,260],"display_cycle":[260,260,260],"intervals":[{"from_index":544,"to_index":1280,"sum":279180,"residue":260},{"from_index":1280,"to_index":2016,"sum":262298,"residue":260},{"from_index":2016,"to_index":544,"sum":267436,"residue":260}],"minimal_cycle":[260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":260,"start_interval_clock_positions":[544,1280],"circle_positions":734,"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":[545,1281,2017],"clock_positions":[545,1281,2017],"native_values":[137,504,137],"rotation_degrees":88.8586956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,504,137],"beta":{"interval_sums":[279150,262268,267406],"interval_residues":[230,230,230],"display_cycle":[230,230,230],"intervals":[{"from_index":545,"to_index":1281,"sum":279150,"residue":230},{"from_index":1281,"to_index":2017,"sum":262268,"residue":230},{"from_index":2017,"to_index":545,"sum":267406,"residue":230}],"minimal_cycle":[230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[545,1281],"circle_positions":734,"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":[546,1282,2018],"clock_positions":[546,1282,2018],"native_values":[244,611,611],"rotation_degrees":89.02173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[244,611,611],"beta":{"interval_sums":[279410,261794,266932],"interval_residues":[490,490,490],"display_cycle":[490,490,490],"intervals":[{"from_index":546,"to_index":1282,"sum":279410,"residue":490},{"from_index":1282,"to_index":2018,"sum":261794,"residue":490},{"from_index":2018,"to_index":546,"sum":266932,"residue":490}],"minimal_cycle":[490],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":490,"start_interval_clock_positions":[546,1282],"circle_positions":734,"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":[547,1283,2019],"clock_positions":[547,1283,2019],"native_values":[381,381,14],"rotation_degrees":89.18478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,381,14],"beta":{"interval_sums":[279640,262024,267162],"interval_residues":[720,720,720],"display_cycle":[720,720,720],"intervals":[{"from_index":547,"to_index":1283,"sum":279640,"residue":720},{"from_index":1283,"to_index":2019,"sum":262024,"residue":720},{"from_index":2019,"to_index":547,"sum":267162,"residue":720}],"minimal_cycle":[720],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":720,"start_interval_clock_positions":[547,1283],"circle_positions":734,"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":[548,1284,2020],"clock_positions":[548,1284,2020],"native_values":[625,258,625],"rotation_degrees":89.34782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[625,258,625],"beta":{"interval_sums":[279396,261780,266918],"interval_residues":[476,476,476],"display_cycle":[476,476,476],"intervals":[{"from_index":548,"to_index":1284,"sum":279396,"residue":476},{"from_index":1284,"to_index":2020,"sum":261780,"residue":476},{"from_index":2020,"to_index":548,"sum":266918,"residue":476}],"minimal_cycle":[476],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":476,"start_interval_clock_positions":[548,1284],"circle_positions":734,"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":[549,1285,2021],"clock_positions":[549,1285,2021],"native_values":[272,639,639],"rotation_degrees":89.51086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[272,639,639],"beta":{"interval_sums":[279382,261766,266904],"interval_residues":[462,462,462],"display_cycle":[462,462,462],"intervals":[{"from_index":549,"to_index":1285,"sum":279382,"residue":462},{"from_index":1285,"to_index":2021,"sum":261766,"residue":462},{"from_index":2021,"to_index":549,"sum":266904,"residue":462}],"minimal_cycle":[462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":462,"start_interval_clock_positions":[549,1285],"circle_positions":734,"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":[550,1286,2022],"clock_positions":[550,1286,2022],"native_values":[163,163,530],"rotation_degrees":89.67391304347827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[163,163,530],"beta":{"interval_sums":[279858,262242,266646],"interval_residues":[204,204,204],"display_cycle":[204,204,204],"intervals":[{"from_index":550,"to_index":1286,"sum":279858,"residue":204},{"from_index":1286,"to_index":2022,"sum":262242,"residue":204},{"from_index":2022,"to_index":550,"sum":266646,"residue":204}],"minimal_cycle":[204],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":204,"start_interval_clock_positions":[550,1286],"circle_positions":734,"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":[551,1287,2023],"clock_positions":[551,1287,2023],"native_values":[435,68,435],"rotation_degrees":89.83695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[435,68,435],"beta":{"interval_sums":[279586,262704,266374],"interval_residues":[666,666,666],"display_cycle":[666,666,666],"intervals":[{"from_index":551,"to_index":1287,"sum":279586,"residue":666},{"from_index":1287,"to_index":2023,"sum":262704,"residue":666},{"from_index":2023,"to_index":551,"sum":266374,"residue":666}],"minimal_cycle":[666],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":666,"start_interval_clock_positions":[551,1287],"circle_positions":734,"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":[552,1288,2024],"clock_positions":[552,1288,2024],"native_values":[598,231,231],"rotation_degrees":90.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[598,231,231],"beta":{"interval_sums":[279056,262908,266578],"interval_residues":[136,136,136],"display_cycle":[136,136,136],"intervals":[{"from_index":552,"to_index":1288,"sum":279056,"residue":136},{"from_index":1288,"to_index":2024,"sum":262908,"residue":136},{"from_index":2024,"to_index":552,"sum":266578,"residue":136}],"minimal_cycle":[136],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":136,"start_interval_clock_positions":[552,1288],"circle_positions":734,"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":[553,1289,2025],"clock_positions":[553,1289,2025],"native_values":[299,299,666],"rotation_degrees":90.16304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,299,666],"beta":{"interval_sums":[278988,262840,266510],"interval_residues":[68,68,68],"display_cycle":[68,68,68],"intervals":[{"from_index":553,"to_index":1289,"sum":278988,"residue":68},{"from_index":1289,"to_index":2025,"sum":262840,"residue":68},{"from_index":2025,"to_index":553,"sum":266510,"residue":68}],"minimal_cycle":[68],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":68,"start_interval_clock_positions":[553,1289],"circle_positions":734,"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":[554,1290,2026],"clock_positions":[554,1290,2026],"native_values":[163,530,163],"rotation_degrees":90.32608695652173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[163,530,163],"beta":{"interval_sums":[279124,262976,266646],"interval_residues":[204,204,204],"display_cycle":[204,204,204],"intervals":[{"from_index":554,"to_index":1290,"sum":279124,"residue":204},{"from_index":1290,"to_index":2026,"sum":262976,"residue":204},{"from_index":2026,"to_index":554,"sum":266646,"residue":204}],"minimal_cycle":[204],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":204,"start_interval_clock_positions":[554,1290],"circle_positions":734,"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":[555,1291,2027],"clock_positions":[555,1291,2027],"native_values":[462,95,95],"rotation_degrees":90.48913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[462,95,95],"beta":{"interval_sums":[279192,263044,266714],"interval_residues":[272,272,272],"display_cycle":[272,272,272],"intervals":[{"from_index":555,"to_index":1291,"sum":279192,"residue":272},{"from_index":1291,"to_index":2027,"sum":263044,"residue":272},{"from_index":2027,"to_index":555,"sum":266714,"residue":272}],"minimal_cycle":[272],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":272,"start_interval_clock_positions":[555,1291],"circle_positions":734,"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":[556,1292,2028],"clock_positions":[556,1292,2028],"native_values":[625,625,258],"rotation_degrees":90.65217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[625,625,258],"beta":{"interval_sums":[278662,262514,266918],"interval_residues":[476,476,476],"display_cycle":[476,476,476],"intervals":[{"from_index":556,"to_index":1292,"sum":278662,"residue":476},{"from_index":1292,"to_index":2028,"sum":262514,"residue":476},{"from_index":2028,"to_index":556,"sum":266918,"residue":476}],"minimal_cycle":[476],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":476,"start_interval_clock_positions":[556,1292],"circle_positions":734,"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":[557,1293,2029],"clock_positions":[557,1293,2029],"native_values":[353,720,353],"rotation_degrees":90.81521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[353,720,353],"beta":{"interval_sums":[278934,262052,267190],"interval_residues":[14,14,14],"display_cycle":[14,14,14],"intervals":[{"from_index":557,"to_index":1293,"sum":278934,"residue":14},{"from_index":1293,"to_index":2029,"sum":262052,"residue":14},{"from_index":2029,"to_index":557,"sum":267190,"residue":14}],"minimal_cycle":[14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[557,1293],"circle_positions":734,"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":[558,1294,2030],"clock_positions":[558,1294,2030],"native_values":[244,611,611],"rotation_degrees":90.97826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[244,611,611],"beta":{"interval_sums":[279410,261794,266932],"interval_residues":[490,490,490],"display_cycle":[490,490,490],"intervals":[{"from_index":558,"to_index":1294,"sum":279410,"residue":490},{"from_index":1294,"to_index":2030,"sum":261794,"residue":490},{"from_index":2030,"to_index":558,"sum":266932,"residue":490}],"minimal_cycle":[490],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":490,"start_interval_clock_positions":[558,1294],"circle_positions":734,"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":[559,1295,2031],"clock_positions":[559,1295,2031],"native_values":[597,597,230],"rotation_degrees":91.1413043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,597,230],"beta":{"interval_sums":[279424,261808,266946],"interval_residues":[504,504,504],"display_cycle":[504,504,504],"intervals":[{"from_index":559,"to_index":1295,"sum":279424,"residue":504},{"from_index":1295,"to_index":2031,"sum":261808,"residue":504},{"from_index":2031,"to_index":559,"sum":266946,"residue":504}],"minimal_cycle":[504],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":504,"start_interval_clock_positions":[559,1295],"circle_positions":734,"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":[560,1296,2032],"clock_positions":[560,1296,2032],"native_values":[107,474,107],"rotation_degrees":91.30434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[107,474,107],"beta":{"interval_sums":[279914,261564,267436],"interval_residues":[260,260,260],"display_cycle":[260,260,260],"intervals":[{"from_index":560,"to_index":1296,"sum":279914,"residue":260},{"from_index":1296,"to_index":2032,"sum":261564,"residue":260},{"from_index":2032,"to_index":560,"sum":267436,"residue":260}],"minimal_cycle":[260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":260,"start_interval_clock_positions":[560,1296],"circle_positions":734,"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":[561,1297,2033],"clock_positions":[561,1297,2033],"native_values":[704,337,337],"rotation_degrees":91.46739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[704,337,337],"beta":{"interval_sums":[279684,261334,267206],"interval_residues":[30,30,30],"display_cycle":[30,30,30],"intervals":[{"from_index":561,"to_index":1297,"sum":279684,"residue":30},{"from_index":1297,"to_index":2033,"sum":261334,"residue":30},{"from_index":2033,"to_index":561,"sum":267206,"residue":30}],"minimal_cycle":[30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[561,1297],"circle_positions":734,"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":[562,1298,2034],"clock_positions":[562,1298,2034],"native_values":[77,77,444],"rotation_degrees":91.6304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,77,444],"beta":{"interval_sums":[279944,261594,267466],"interval_residues":[290,290,290],"display_cycle":[290,290,290],"intervals":[{"from_index":562,"to_index":1298,"sum":279944,"residue":290},{"from_index":1298,"to_index":2034,"sum":261594,"residue":290},{"from_index":2034,"to_index":562,"sum":267466,"residue":290}],"minimal_cycle":[290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[562,1298],"circle_positions":734,"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":[563,1299,2035],"clock_positions":[563,1299,2035],"native_values":[47,414,47],"rotation_degrees":91.79347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,414,47],"beta":{"interval_sums":[279974,261624,267496],"interval_residues":[320,320,320],"display_cycle":[320,320,320],"intervals":[{"from_index":563,"to_index":1299,"sum":279974,"residue":320},{"from_index":1299,"to_index":2035,"sum":261624,"residue":320},{"from_index":2035,"to_index":563,"sum":267496,"residue":320}],"minimal_cycle":[320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[563,1299],"circle_positions":734,"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":[564,1300,2036],"clock_positions":[564,1300,2036],"native_values":[124,491,491],"rotation_degrees":91.95652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[124,491,491],"beta":{"interval_sums":[280264,261180,267052],"interval_residues":[610,610,610],"display_cycle":[610,610,610],"intervals":[{"from_index":564,"to_index":1300,"sum":280264,"residue":610},{"from_index":1300,"to_index":2036,"sum":261180,"residue":610},{"from_index":2036,"to_index":564,"sum":267052,"residue":610}],"minimal_cycle":[610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[564,1300],"circle_positions":734,"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":[565,1301,2037],"clock_positions":[565,1301,2037],"native_values":[171,171,538],"rotation_degrees":92.1195652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,171,538],"beta":{"interval_sums":[280584,261500,266638],"interval_residues":[196,196,196],"display_cycle":[196,196,196],"intervals":[{"from_index":565,"to_index":1301,"sum":280584,"residue":196},{"from_index":1301,"to_index":2037,"sum":261500,"residue":196},{"from_index":2037,"to_index":565,"sum":266638,"residue":196}],"minimal_cycle":[196],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":196,"start_interval_clock_positions":[565,1301],"circle_positions":734,"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":[566,1302,2038],"clock_positions":[566,1302,2038],"native_values":[295,662,295],"rotation_degrees":92.28260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,662,295],"beta":{"interval_sums":[280460,261376,266514],"interval_residues":[72,72,72],"display_cycle":[72,72,72],"intervals":[{"from_index":566,"to_index":1302,"sum":280460,"residue":72},{"from_index":1302,"to_index":2038,"sum":261376,"residue":72},{"from_index":2038,"to_index":566,"sum":266514,"residue":72}],"minimal_cycle":[72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[566,1302],"circle_positions":734,"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":[567,1303,2039],"clock_positions":[567,1303,2039],"native_values":[466,99,99],"rotation_degrees":92.44565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[466,99,99],"beta":{"interval_sums":[280656,261572,266710],"interval_residues":[268,268,268],"display_cycle":[268,268,268],"intervals":[{"from_index":567,"to_index":1303,"sum":280656,"residue":268},{"from_index":1303,"to_index":2039,"sum":261572,"residue":268},{"from_index":2039,"to_index":567,"sum":266710,"residue":268}],"minimal_cycle":[268],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":268,"start_interval_clock_positions":[567,1303],"circle_positions":734,"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":[568,1304,2040],"clock_positions":[568,1304,2040],"native_values":[27,27,394],"rotation_degrees":92.6086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,27,394],"beta":{"interval_sums":[280728,261644,266782],"interval_residues":[340,340,340],"display_cycle":[340,340,340],"intervals":[{"from_index":568,"to_index":1304,"sum":280728,"residue":340},{"from_index":1304,"to_index":2040,"sum":261644,"residue":340},{"from_index":2040,"to_index":568,"sum":266782,"residue":340}],"minimal_cycle":[340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":340,"start_interval_clock_positions":[568,1304],"circle_positions":734,"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":[569,1305,2041],"clock_positions":[569,1305,2041],"native_values":[493,126,493],"rotation_degrees":92.77173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[493,126,493],"beta":{"interval_sums":[280262,261912,266316],"interval_residues":[608,608,608],"display_cycle":[608,608,608],"intervals":[{"from_index":569,"to_index":1305,"sum":280262,"residue":608},{"from_index":1305,"to_index":2041,"sum":261912,"residue":608},{"from_index":2041,"to_index":569,"sum":266316,"residue":608}],"minimal_cycle":[608],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":608,"start_interval_clock_positions":[569,1305],"circle_positions":734,"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":[570,1306,2042],"clock_positions":[570,1306,2042],"native_values":[520,153,153],"rotation_degrees":92.93478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[520,153,153],"beta":{"interval_sums":[279868,262252,266656],"interval_residues":[214,214,214],"display_cycle":[214,214,214],"intervals":[{"from_index":570,"to_index":1306,"sum":279868,"residue":214},{"from_index":1306,"to_index":2042,"sum":262252,"residue":214},{"from_index":2042,"to_index":570,"sum":266656,"residue":214}],"minimal_cycle":[214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":214,"start_interval_clock_positions":[570,1306],"circle_positions":734,"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":[571,1307,2043],"clock_positions":[571,1307,2043],"native_values":[279,279,646],"rotation_degrees":93.09782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,279,646],"beta":{"interval_sums":[279742,262126,266530],"interval_residues":[88,88,88],"display_cycle":[88,88,88],"intervals":[{"from_index":571,"to_index":1307,"sum":279742,"residue":88},{"from_index":1307,"to_index":2043,"sum":262126,"residue":88},{"from_index":2043,"to_index":571,"sum":266530,"residue":88}],"minimal_cycle":[88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[571,1307],"circle_positions":734,"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":[572,1308,2044],"clock_positions":[572,1308,2044],"native_values":[65,432,65],"rotation_degrees":93.26086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,432,65],"beta":{"interval_sums":[279956,262340,266744],"interval_residues":[302,302,302],"display_cycle":[302,302,302],"intervals":[{"from_index":572,"to_index":1308,"sum":279956,"residue":302},{"from_index":1308,"to_index":2044,"sum":262340,"residue":302},{"from_index":2044,"to_index":572,"sum":266744,"residue":302}],"minimal_cycle":[302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":302,"start_interval_clock_positions":[572,1308],"circle_positions":734,"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":[573,1309,2045],"clock_positions":[573,1309,2045],"native_values":[344,711,711],"rotation_degrees":93.42391304347827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[344,711,711],"beta":{"interval_sums":[280044,261694,266098],"interval_residues":[390,390,390],"display_cycle":[390,390,390],"intervals":[{"from_index":573,"to_index":1309,"sum":280044,"residue":390},{"from_index":1309,"to_index":2045,"sum":261694,"residue":390},{"from_index":2045,"to_index":573,"sum":266098,"residue":390}],"minimal_cycle":[390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":390,"start_interval_clock_positions":[573,1309],"circle_positions":734,"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":[574,1310,2046],"clock_positions":[574,1310,2046],"native_values":[409,409,42],"rotation_degrees":93.58695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,409,42],"beta":{"interval_sums":[280346,261996,266400],"interval_residues":[692,692,692],"display_cycle":[692,692,692],"intervals":[{"from_index":574,"to_index":1310,"sum":280346,"residue":692},{"from_index":1310,"to_index":2046,"sum":261996,"residue":692},{"from_index":2046,"to_index":574,"sum":266400,"residue":692}],"minimal_cycle":[692],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":692,"start_interval_clock_positions":[574,1310],"circle_positions":734,"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":[575,1311,2047],"clock_positions":[575,1311,2047],"native_values":[19,386,19],"rotation_degrees":93.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[19,386,19],"beta":{"interval_sums":[280736,261652,266790],"interval_residues":[348,348,348],"display_cycle":[348,348,348],"intervals":[{"from_index":575,"to_index":1311,"sum":280736,"residue":348},{"from_index":1311,"to_index":2047,"sum":261652,"residue":348},{"from_index":2047,"to_index":575,"sum":266790,"residue":348}],"minimal_cycle":[348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[575,1311],"circle_positions":734,"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":[576,1312,2048],"clock_positions":[576,1312,2048],"native_values":[428,61,61],"rotation_degrees":93.91304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,61,61],"beta":{"interval_sums":[280694,261610,266748],"interval_residues":[306,306,306],"display_cycle":[306,306,306],"intervals":[{"from_index":576,"to_index":1312,"sum":280694,"residue":306},{"from_index":1312,"to_index":2048,"sum":261610,"residue":306},{"from_index":2048,"to_index":576,"sum":266748,"residue":306}],"minimal_cycle":[306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[576,1312],"circle_positions":734,"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":[577,1313,2049],"clock_positions":[577,1313,2049],"native_values":[447,447,80],"rotation_degrees":94.07608695652173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[447,447,80],"beta":{"interval_sums":[280308,261224,267096],"interval_residues":[654,654,654],"display_cycle":[654,654,654],"intervals":[{"from_index":577,"to_index":1313,"sum":280308,"residue":654},{"from_index":1313,"to_index":2049,"sum":261224,"residue":654},{"from_index":2049,"to_index":577,"sum":267096,"residue":654}],"minimal_cycle":[654],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":654,"start_interval_clock_positions":[577,1313],"circle_positions":734,"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":[578,1314,2050],"clock_positions":[578,1314,2050],"native_values":[141,508,141],"rotation_degrees":94.23913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,508,141],"beta":{"interval_sums":[280614,260796,267402],"interval_residues":[226,226,226],"display_cycle":[226,226,226],"intervals":[{"from_index":578,"to_index":1314,"sum":280614,"residue":226},{"from_index":1314,"to_index":2050,"sum":260796,"residue":226},{"from_index":2050,"to_index":578,"sum":267402,"residue":226}],"minimal_cycle":[226],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":226,"start_interval_clock_positions":[578,1314],"circle_positions":734,"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":[579,1315,2051],"clock_positions":[579,1315,2051],"native_values":[588,221,221],"rotation_degrees":94.40217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[588,221,221],"beta":{"interval_sums":[280534,260716,267322],"interval_residues":[146,146,146],"display_cycle":[146,146,146],"intervals":[{"from_index":579,"to_index":1315,"sum":280534,"residue":146},{"from_index":1315,"to_index":2051,"sum":260716,"residue":146},{"from_index":2051,"to_index":579,"sum":267322,"residue":146}],"minimal_cycle":[146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[579,1315],"circle_positions":734,"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":[580,1316,2052],"clock_positions":[580,1316,2052],"native_values":[729,729,362],"rotation_degrees":94.56521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[729,729,362],"beta":{"interval_sums":[280026,260208,267548],"interval_residues":[372,372,372],"display_cycle":[372,372,372],"intervals":[{"from_index":580,"to_index":1316,"sum":280026,"residue":372},{"from_index":1316,"to_index":2052,"sum":260208,"residue":372},{"from_index":2052,"to_index":580,"sum":267548,"residue":372}],"minimal_cycle":[372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":372,"start_interval_clock_positions":[580,1316],"circle_positions":734,"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":[581,1317,2053],"clock_positions":[581,1317,2053],"native_values":[583,216,583],"rotation_degrees":94.72826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[583,216,583],"beta":{"interval_sums":[280172,260354,267694],"interval_residues":[518,518,518],"display_cycle":[518,518,518],"intervals":[{"from_index":581,"to_index":1317,"sum":280172,"residue":518},{"from_index":1317,"to_index":2053,"sum":260354,"residue":518},{"from_index":2053,"to_index":581,"sum":267694,"residue":518}],"minimal_cycle":[518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[581,1317],"circle_positions":734,"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":[582,1318,2054],"clock_positions":[582,1318,2054],"native_values":[578,211,211],"rotation_degrees":94.8913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[578,211,211],"beta":{"interval_sums":[279810,260726,268066],"interval_residues":[156,156,156],"display_cycle":[156,156,156],"intervals":[{"from_index":582,"to_index":1318,"sum":279810,"residue":156},{"from_index":1318,"to_index":2054,"sum":260726,"residue":156},{"from_index":2054,"to_index":582,"sum":268066,"residue":156}],"minimal_cycle":[156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[582,1318],"circle_positions":734,"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":[583,1319,2055],"clock_positions":[583,1319,2055],"native_values":[427,427,60],"rotation_degrees":95.05434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[427,427,60],"beta":{"interval_sums":[279594,260510,268584],"interval_residues":[674,674,674],"display_cycle":[674,674,674],"intervals":[{"from_index":583,"to_index":1319,"sum":279594,"residue":674},{"from_index":1319,"to_index":2055,"sum":260510,"residue":674},{"from_index":2055,"to_index":583,"sum":268584,"residue":674}],"minimal_cycle":[674],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":674,"start_interval_clock_positions":[583,1319],"circle_positions":734,"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":[584,1320,2056],"clock_positions":[584,1320,2056],"native_values":[271,638,271],"rotation_degrees":95.21739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[271,638,271],"beta":{"interval_sums":[279750,259932,268740],"interval_residues":[96,96,96],"display_cycle":[96,96,96],"intervals":[{"from_index":584,"to_index":1320,"sum":279750,"residue":96},{"from_index":1320,"to_index":2056,"sum":259932,"residue":96},{"from_index":2056,"to_index":584,"sum":268740,"residue":96}],"minimal_cycle":[96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[584,1320],"circle_positions":734,"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":[585,1321,2057],"clock_positions":[585,1321,2057],"native_values":[698,331,331],"rotation_degrees":95.3804347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[698,331,331],"beta":{"interval_sums":[279690,259872,268680],"interval_residues":[36,36,36],"display_cycle":[36,36,36],"intervals":[{"from_index":585,"to_index":1321,"sum":279690,"residue":36},{"from_index":1321,"to_index":2057,"sum":259872,"residue":36},{"from_index":2057,"to_index":585,"sum":268680,"residue":36}],"minimal_cycle":[36],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[585,1321],"circle_positions":734,"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":[586,1322,2058],"clock_positions":[586,1322,2058],"native_values":[235,235,602],"rotation_degrees":95.54347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,235,602],"beta":{"interval_sums":[279786,259968,268776],"interval_residues":[132,132,132],"display_cycle":[132,132,132],"intervals":[{"from_index":586,"to_index":1322,"sum":279786,"residue":132},{"from_index":1322,"to_index":2058,"sum":259968,"residue":132},{"from_index":2058,"to_index":586,"sum":268776,"residue":132}],"minimal_cycle":[132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[586,1322],"circle_positions":734,"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":[587,1323,2059],"clock_positions":[587,1323,2059],"native_values":[199,566,199],"rotation_degrees":95.70652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[199,566,199],"beta":{"interval_sums":[279822,260004,268812],"interval_residues":[168,168,168],"display_cycle":[168,168,168],"intervals":[{"from_index":587,"to_index":1323,"sum":279822,"residue":168},{"from_index":1323,"to_index":2059,"sum":260004,"residue":168},{"from_index":2059,"to_index":587,"sum":268812,"residue":168}],"minimal_cycle":[168],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":168,"start_interval_clock_positions":[587,1323],"circle_positions":734,"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":[588,1324,2060],"clock_positions":[588,1324,2060],"native_values":[434,67,67],"rotation_degrees":95.8695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[434,67,67],"beta":{"interval_sums":[279954,260136,268944],"interval_residues":[300,300,300],"display_cycle":[300,300,300],"intervals":[{"from_index":588,"to_index":1324,"sum":279954,"residue":300},{"from_index":1324,"to_index":2060,"sum":260136,"residue":300},{"from_index":2060,"to_index":588,"sum":268944,"residue":300}],"minimal_cycle":[300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":300,"start_interval_clock_positions":[588,1324],"circle_positions":734,"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":[589,1325,2061],"clock_positions":[589,1325,2061],"native_values":[633,633,266],"rotation_degrees":96.03260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[633,633,266],"beta":{"interval_sums":[279388,259570,269112],"interval_residues":[468,468,468],"display_cycle":[468,468,468],"intervals":[{"from_index":589,"to_index":1325,"sum":279388,"residue":468},{"from_index":1325,"to_index":2061,"sum":259570,"residue":468},{"from_index":2061,"to_index":589,"sum":269112,"residue":468}],"minimal_cycle":[468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[589,1325],"circle_positions":734,"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":[590,1326,2062],"clock_positions":[590,1326,2062],"native_values":[333,700,333],"rotation_degrees":96.19565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,700,333],"beta":{"interval_sums":[279688,259136,269412],"interval_residues":[34,34,34],"display_cycle":[34,34,34],"intervals":[{"from_index":590,"to_index":1326,"sum":279688,"residue":34},{"from_index":1326,"to_index":2062,"sum":259136,"residue":34},{"from_index":2062,"to_index":590,"sum":269412,"residue":34}],"minimal_cycle":[34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[590,1326],"circle_positions":734,"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":[591,1327,2063],"clock_positions":[591,1327,2063],"native_values":[232,599,599],"rotation_degrees":96.3586956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[232,599,599],"beta":{"interval_sums":[280156,258870,269146],"interval_residues":[502,502,502],"display_cycle":[502,502,502],"intervals":[{"from_index":591,"to_index":1327,"sum":280156,"residue":502},{"from_index":1327,"to_index":2063,"sum":258870,"residue":502},{"from_index":2063,"to_index":591,"sum":269146,"residue":502}],"minimal_cycle":[502],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[591,1327],"circle_positions":734,"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":[592,1328,2064],"clock_positions":[592,1328,2064],"native_values":[565,565,198],"rotation_degrees":96.52173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,565,198],"beta":{"interval_sums":[280190,258904,269180],"interval_residues":[536,536,536],"display_cycle":[536,536,536],"intervals":[{"from_index":592,"to_index":1328,"sum":280190,"residue":536},{"from_index":1328,"to_index":2064,"sum":258904,"residue":536},{"from_index":2064,"to_index":592,"sum":269180,"residue":536}],"minimal_cycle":[536],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":536,"start_interval_clock_positions":[592,1328],"circle_positions":734,"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":[593,1329,2065],"clock_positions":[593,1329,2065],"native_values":[63,430,63],"rotation_degrees":96.68478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[63,430,63],"beta":{"interval_sums":[280692,258672,269682],"interval_residues":[304,304,304],"display_cycle":[304,304,304],"intervals":[{"from_index":593,"to_index":1329,"sum":280692,"residue":304},{"from_index":1329,"to_index":2065,"sum":258672,"residue":304},{"from_index":2065,"to_index":593,"sum":269682,"residue":304}],"minimal_cycle":[304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":304,"start_interval_clock_positions":[593,1329],"circle_positions":734,"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":[594,1330,2066],"clock_positions":[594,1330,2066],"native_values":[628,261,261],"rotation_degrees":96.84782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[628,261,261],"beta":{"interval_sums":[280494,258474,269484],"interval_residues":[106,106,106],"display_cycle":[106,106,106],"intervals":[{"from_index":594,"to_index":1330,"sum":280494,"residue":106},{"from_index":1330,"to_index":2066,"sum":258474,"residue":106},{"from_index":2066,"to_index":594,"sum":269484,"residue":106}],"minimal_cycle":[106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[594,1330],"circle_positions":734,"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":[595,1331,2067],"clock_positions":[595,1331,2067],"native_values":[691,691,324],"rotation_degrees":97.01086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,691,324],"beta":{"interval_sums":[280064,258044,269788],"interval_residues":[410,410,410],"display_cycle":[410,410,410],"intervals":[{"from_index":595,"to_index":1331,"sum":280064,"residue":410},{"from_index":1331,"to_index":2067,"sum":258044,"residue":410},{"from_index":2067,"to_index":595,"sum":269788,"residue":410}],"minimal_cycle":[410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[595,1331],"circle_positions":734,"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":[596,1332,2068],"clock_positions":[596,1332,2068],"native_values":[585,218,585],"rotation_degrees":97.17391304347827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[585,218,585],"beta":{"interval_sums":[280170,258150,269894],"interval_residues":[516,516,516],"display_cycle":[516,516,516],"intervals":[{"from_index":596,"to_index":1332,"sum":280170,"residue":516},{"from_index":1332,"to_index":2068,"sum":258150,"residue":516},{"from_index":2068,"to_index":596,"sum":269894,"residue":516}],"minimal_cycle":[516],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":516,"start_interval_clock_positions":[596,1332],"circle_positions":734,"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":[597,1333,2069],"clock_positions":[597,1333,2069],"native_values":[542,175,175],"rotation_degrees":97.33695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[542,175,175],"beta":{"interval_sums":[279846,258560,270304],"interval_residues":[192,192,192],"display_cycle":[192,192,192],"intervals":[{"from_index":597,"to_index":1333,"sum":279846,"residue":192},{"from_index":1333,"to_index":2069,"sum":258560,"residue":192},{"from_index":2069,"to_index":597,"sum":270304,"residue":192}],"minimal_cycle":[192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[597,1333],"circle_positions":734,"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":[598,1334,2070],"clock_positions":[598,1334,2070],"native_values":[393,393,26],"rotation_degrees":97.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[393,393,26],"beta":{"interval_sums":[279628,258342,270820],"interval_residues":[708,708,708],"display_cycle":[708,708,708],"intervals":[{"from_index":598,"to_index":1334,"sum":279628,"residue":708},{"from_index":1334,"to_index":2070,"sum":258342,"residue":708},{"from_index":2070,"to_index":598,"sum":270820,"residue":708}],"minimal_cycle":[708],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":708,"start_interval_clock_positions":[598,1334],"circle_positions":734,"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":[599,1335,2071],"clock_positions":[599,1335,2071],"native_values":[201,568,201],"rotation_degrees":97.66304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[201,568,201],"beta":{"interval_sums":[279820,257800,271012],"interval_residues":[166,166,166],"display_cycle":[166,166,166],"intervals":[{"from_index":599,"to_index":1335,"sum":279820,"residue":166},{"from_index":1335,"to_index":2071,"sum":257800,"residue":166},{"from_index":2071,"to_index":599,"sum":271012,"residue":166}],"minimal_cycle":[166],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":166,"start_interval_clock_positions":[599,1335],"circle_positions":734,"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":[600,1336,2072],"clock_positions":[600,1336,2072],"native_values":[594,227,227],"rotation_degrees":97.82608695652173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[594,227,227],"beta":{"interval_sums":[279794,257774,270986],"interval_residues":[140,140,140],"display_cycle":[140,140,140],"intervals":[{"from_index":600,"to_index":1336,"sum":279794,"residue":140},{"from_index":1336,"to_index":2072,"sum":257774,"residue":140},{"from_index":2072,"to_index":600,"sum":270986,"residue":140}],"minimal_cycle":[140],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":140,"start_interval_clock_positions":[600,1336],"circle_positions":734,"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":[601,1337,2073],"clock_positions":[601,1337,2073],"native_values":[61,61,428],"rotation_degrees":97.98913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,61,428],"beta":{"interval_sums":[279960,257940,271152],"interval_residues":[306,306,306],"display_cycle":[306,306,306],"intervals":[{"from_index":601,"to_index":1337,"sum":279960,"residue":306},{"from_index":1337,"to_index":2073,"sum":257940,"residue":306},{"from_index":2073,"to_index":601,"sum":271152,"residue":306}],"minimal_cycle":[306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[601,1337],"circle_positions":734,"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":[602,1338,2074],"clock_positions":[602,1338,2074],"native_values":[655,288,655],"rotation_degrees":98.15217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[655,288,655],"beta":{"interval_sums":[279366,258080,270558],"interval_residues":[446,446,446],"display_cycle":[446,446,446],"intervals":[{"from_index":602,"to_index":1338,"sum":279366,"residue":446},{"from_index":1338,"to_index":2074,"sum":258080,"residue":446},{"from_index":2074,"to_index":602,"sum":270558,"residue":446}],"minimal_cycle":[446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[602,1338],"circle_positions":734,"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":[603,1339,2075],"clock_positions":[603,1339,2075],"native_values":[716,349,349],"rotation_degrees":98.31521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[716,349,349],"beta":{"interval_sums":[278938,258386,270864],"interval_residues":[18,18,18],"display_cycle":[18,18,18],"intervals":[{"from_index":603,"to_index":1339,"sum":278938,"residue":18},{"from_index":1339,"to_index":2075,"sum":258386,"residue":18},{"from_index":2075,"to_index":603,"sum":270864,"residue":18}],"minimal_cycle":[18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[603,1339],"circle_positions":734,"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":[604,1340,2076],"clock_positions":[604,1340,2076],"native_values":[637,637,270],"rotation_degrees":98.47826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[637,637,270],"beta":{"interval_sums":[278650,258098,271310],"interval_residues":[464,464,464],"display_cycle":[464,464,464],"intervals":[{"from_index":604,"to_index":1340,"sum":278650,"residue":464},{"from_index":1340,"to_index":2076,"sum":258098,"residue":464},{"from_index":2076,"to_index":604,"sum":271310,"residue":464}],"minimal_cycle":[464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":464,"start_interval_clock_positions":[604,1340],"circle_positions":734,"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":[605,1341,2077],"clock_positions":[605,1341,2077],"native_values":[619,252,619],"rotation_degrees":98.6413043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[619,252,619],"beta":{"interval_sums":[278668,258116,271328],"interval_residues":[482,482,482],"display_cycle":[482,482,482],"intervals":[{"from_index":605,"to_index":1341,"sum":278668,"residue":482},{"from_index":1341,"to_index":2077,"sum":258116,"residue":482},{"from_index":2077,"to_index":605,"sum":271328,"residue":482}],"minimal_cycle":[482],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":482,"start_interval_clock_positions":[605,1341],"circle_positions":734,"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":[606,1342,2078],"clock_positions":[606,1342,2078],"native_values":[522,155,155],"rotation_degrees":98.80434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[522,155,155],"beta":{"interval_sums":[278398,258580,271792],"interval_residues":[212,212,212],"display_cycle":[212,212,212],"intervals":[{"from_index":606,"to_index":1342,"sum":278398,"residue":212},{"from_index":1342,"to_index":2078,"sum":258580,"residue":212},{"from_index":2078,"to_index":606,"sum":271792,"residue":212}],"minimal_cycle":[212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":212,"start_interval_clock_positions":[606,1342],"circle_positions":734,"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":[607,1343,2079],"clock_positions":[607,1343,2079],"native_values":[407,407,40],"rotation_degrees":98.96739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[407,407,40],"beta":{"interval_sums":[278146,258328,272274],"interval_residues":[694,694,694],"display_cycle":[694,694,694],"intervals":[{"from_index":607,"to_index":1343,"sum":278146,"residue":694},{"from_index":1343,"to_index":2079,"sum":258328,"residue":694},{"from_index":2079,"to_index":607,"sum":272274,"residue":694}],"minimal_cycle":[694],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":694,"start_interval_clock_positions":[607,1343],"circle_positions":734,"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":[608,1344,2080],"clock_positions":[608,1344,2080],"native_values":[195,562,195],"rotation_degrees":99.1304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,562,195],"beta":{"interval_sums":[278358,257806,272486],"interval_residues":[172,172,172],"display_cycle":[172,172,172],"intervals":[{"from_index":608,"to_index":1344,"sum":278358,"residue":172},{"from_index":1344,"to_index":2080,"sum":257806,"residue":172},{"from_index":2080,"to_index":608,"sum":272486,"residue":172}],"minimal_cycle":[172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":172,"start_interval_clock_positions":[608,1344],"circle_positions":734,"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":[609,1345,2081],"clock_positions":[609,1345,2081],"native_values":[602,235,235],"rotation_degrees":99.29347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[602,235,235],"beta":{"interval_sums":[278318,257766,272446],"interval_residues":[132,132,132],"display_cycle":[132,132,132],"intervals":[{"from_index":609,"to_index":1345,"sum":278318,"residue":132},{"from_index":1345,"to_index":2081,"sum":257766,"residue":132},{"from_index":2081,"to_index":609,"sum":272446,"residue":132}],"minimal_cycle":[132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[609,1345],"circle_positions":734,"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":[610,1346,2082],"clock_positions":[610,1346,2082],"native_values":[63,63,430],"rotation_degrees":99.45652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[63,63,430],"beta":{"interval_sums":[278490,257938,272618],"interval_residues":[304,304,304],"display_cycle":[304,304,304],"intervals":[{"from_index":610,"to_index":1346,"sum":278490,"residue":304},{"from_index":1346,"to_index":2082,"sum":257938,"residue":304},{"from_index":2082,"to_index":610,"sum":272618,"residue":304}],"minimal_cycle":[304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":304,"start_interval_clock_positions":[610,1346],"circle_positions":734,"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":[611,1347,2083],"clock_positions":[611,1347,2083],"native_values":[665,298,665],"rotation_degrees":99.6195652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[665,298,665],"beta":{"interval_sums":[277888,258070,272016],"interval_residues":[436,436,436],"display_cycle":[436,436,436],"intervals":[{"from_index":611,"to_index":1347,"sum":277888,"residue":436},{"from_index":1347,"to_index":2083,"sum":258070,"residue":436},{"from_index":2083,"to_index":611,"sum":272016,"residue":436}],"minimal_cycle":[436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[611,1347],"circle_positions":734,"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":[612,1348,2084],"clock_positions":[612,1348,2084],"native_values":[728,361,361],"rotation_degrees":99.78260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[728,361,361],"beta":{"interval_sums":[277458,258374,272320],"interval_residues":[6,6,6],"display_cycle":[6,6,6],"intervals":[{"from_index":612,"to_index":1348,"sum":277458,"residue":6},{"from_index":1348,"to_index":2084,"sum":258374,"residue":6},{"from_index":2084,"to_index":612,"sum":272320,"residue":6}],"minimal_cycle":[6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[612,1348],"circle_positions":734,"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":[613,1349,2085],"clock_positions":[613,1349,2085],"native_values":[659,659,292],"rotation_degrees":99.94565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[659,659,292],"beta":{"interval_sums":[277160,258076,272756],"interval_residues":[442,442,442],"display_cycle":[442,442,442],"intervals":[{"from_index":613,"to_index":1349,"sum":277160,"residue":442},{"from_index":1349,"to_index":2085,"sum":258076,"residue":442},{"from_index":2085,"to_index":613,"sum":272756,"residue":442}],"minimal_cycle":[442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[613,1349],"circle_positions":734,"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":[614,1350,2086],"clock_positions":[614,1350,2086],"native_values":[653,286,653],"rotation_degrees":100.1086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,286,653],"beta":{"interval_sums":[277166,258082,272762],"interval_residues":[448,448,448],"display_cycle":[448,448,448],"intervals":[{"from_index":614,"to_index":1350,"sum":277166,"residue":448},{"from_index":1350,"to_index":2086,"sum":258082,"residue":448},{"from_index":2086,"to_index":614,"sum":272762,"residue":448}],"minimal_cycle":[448],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":448,"start_interval_clock_positions":[614,1350],"circle_positions":734,"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":[615,1351,2087],"clock_positions":[615,1351,2087],"native_values":[578,211,211],"rotation_degrees":100.27173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[578,211,211],"beta":{"interval_sums":[276874,258524,273204],"interval_residues":[156,156,156],"display_cycle":[156,156,156],"intervals":[{"from_index":615,"to_index":1351,"sum":276874,"residue":156},{"from_index":1351,"to_index":2087,"sum":258524,"residue":156},{"from_index":2087,"to_index":615,"sum":273204,"residue":156}],"minimal_cycle":[156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[615,1351],"circle_positions":734,"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":[616,1352,2088],"clock_positions":[616,1352,2088],"native_values":[497,497,130],"rotation_degrees":100.43478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[497,497,130],"beta":{"interval_sums":[276588,258238,273652],"interval_residues":[604,604,604],"display_cycle":[604,604,604],"intervals":[{"from_index":616,"to_index":1352,"sum":276588,"residue":604},{"from_index":1352,"to_index":2088,"sum":258238,"residue":604},{"from_index":2088,"to_index":616,"sum":273652,"residue":604}],"minimal_cycle":[604],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":604,"start_interval_clock_positions":[616,1352],"circle_positions":734,"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":[617,1353,2089],"clock_positions":[617,1353,2089],"native_values":[341,708,341],"rotation_degrees":100.59782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,708,341],"beta":{"interval_sums":[276744,257660,273808],"interval_residues":[26,26,26],"display_cycle":[26,26,26],"intervals":[{"from_index":617,"to_index":1353,"sum":276744,"residue":26},{"from_index":1353,"to_index":2089,"sum":257660,"residue":26},{"from_index":2089,"to_index":617,"sum":273808,"residue":26}],"minimal_cycle":[26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[617,1353],"circle_positions":734,"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":[618,1354,2090],"clock_positions":[618,1354,2090],"native_values":[104,471,471],"rotation_degrees":100.76086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[104,471,471],"beta":{"interval_sums":[277348,257530,273678],"interval_residues":[630,630,630],"display_cycle":[630,630,630],"intervals":[{"from_index":618,"to_index":1354,"sum":277348,"residue":630},{"from_index":1354,"to_index":2090,"sum":257530,"residue":630},{"from_index":2090,"to_index":618,"sum":273678,"residue":630}],"minimal_cycle":[630],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":630,"start_interval_clock_positions":[618,1354],"circle_positions":734,"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":[619,1355,2091],"clock_positions":[619,1355,2091],"native_values":[445,445,78],"rotation_degrees":100.92391304347827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[445,445,78],"beta":{"interval_sums":[277374,257556,273704],"interval_residues":[656,656,656],"display_cycle":[656,656,656],"intervals":[{"from_index":619,"to_index":1355,"sum":277374,"residue":656},{"from_index":1355,"to_index":2091,"sum":257556,"residue":656},{"from_index":2091,"to_index":619,"sum":273704,"residue":656}],"minimal_cycle":[656],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":656,"start_interval_clock_positions":[619,1355],"circle_positions":734,"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":[620,1356,2092],"clock_positions":[620,1356,2092],"native_values":[549,182,549],"rotation_degrees":101.08695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[549,182,549],"beta":{"interval_sums":[277270,257452,273600],"interval_residues":[552,552,552],"display_cycle":[552,552,552],"intervals":[{"from_index":620,"to_index":1356,"sum":277270,"residue":552},{"from_index":1356,"to_index":2092,"sum":257452,"residue":552},{"from_index":2092,"to_index":620,"sum":273600,"residue":552}],"minimal_cycle":[552],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[620,1356],"circle_positions":734,"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":[621,1357,2093],"clock_positions":[621,1357,2093],"native_values":[260,627,627],"rotation_degrees":101.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[260,627,627],"beta":{"interval_sums":[277192,257374,273522],"interval_residues":[474,474,474],"display_cycle":[474,474,474],"intervals":[{"from_index":621,"to_index":1357,"sum":277192,"residue":474},{"from_index":1357,"to_index":2093,"sum":257374,"residue":474},{"from_index":2093,"to_index":621,"sum":273522,"residue":474}],"minimal_cycle":[474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[621,1357],"circle_positions":734,"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":[622,1358,2094],"clock_positions":[622,1358,2094],"native_values":[75,75,442],"rotation_degrees":101.41304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,75,442],"beta":{"interval_sums":[277744,257926,273340],"interval_residues":[292,292,292],"display_cycle":[292,292,292],"intervals":[{"from_index":622,"to_index":1358,"sum":277744,"residue":292},{"from_index":1358,"to_index":2094,"sum":257926,"residue":292},{"from_index":2094,"to_index":622,"sum":273340,"residue":292}],"minimal_cycle":[292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[622,1358],"circle_positions":734,"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":[623,1359,2095],"clock_positions":[623,1359,2095],"native_values":[335,702,335],"rotation_degrees":101.57608695652173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[335,702,335],"beta":{"interval_sums":[277484,257666,273080],"interval_residues":[32,32,32],"display_cycle":[32,32,32],"intervals":[{"from_index":623,"to_index":1359,"sum":277484,"residue":32},{"from_index":1359,"to_index":2095,"sum":257666,"residue":32},{"from_index":2095,"to_index":623,"sum":273080,"residue":32}],"minimal_cycle":[32],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":32,"start_interval_clock_positions":[623,1359],"circle_positions":734,"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":[624,1360,2096],"clock_positions":[624,1360,2096],"native_values":[410,43,43],"rotation_degrees":101.73913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[410,43,43],"beta":{"interval_sums":[277776,257958,273372],"interval_residues":[324,324,324],"display_cycle":[324,324,324],"intervals":[{"from_index":624,"to_index":1360,"sum":277776,"residue":324},{"from_index":1360,"to_index":2096,"sum":257958,"residue":324},{"from_index":2096,"to_index":624,"sum":273372,"residue":324}],"minimal_cycle":[324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[624,1360],"circle_positions":734,"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":[625,1361,2097],"clock_positions":[625,1361,2097],"native_values":[11,11,378],"rotation_degrees":101.90217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[11,11,378],"beta":{"interval_sums":[277808,257990,273404],"interval_residues":[356,356,356],"display_cycle":[356,356,356],"intervals":[{"from_index":625,"to_index":1361,"sum":277808,"residue":356},{"from_index":1361,"to_index":2097,"sum":257990,"residue":356},{"from_index":2097,"to_index":625,"sum":273404,"residue":356}],"minimal_cycle":[356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":356,"start_interval_clock_positions":[625,1361],"circle_positions":734,"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":[626,1362,2098],"clock_positions":[626,1362,2098],"native_values":[421,54,421],"rotation_degrees":102.06521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[421,54,421],"beta":{"interval_sums":[277398,258314,272994],"interval_residues":[680,680,680],"display_cycle":[680,680,680],"intervals":[{"from_index":626,"to_index":1362,"sum":277398,"residue":680},{"from_index":1362,"to_index":2098,"sum":258314,"residue":680},{"from_index":2098,"to_index":626,"sum":272994,"residue":680}],"minimal_cycle":[680],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":680,"start_interval_clock_positions":[626,1362],"circle_positions":734,"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":[627,1363,2099],"clock_positions":[627,1363,2099],"native_values":[432,65,65],"rotation_degrees":102.22826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[432,65,65],"beta":{"interval_sums":[277020,258670,273350],"interval_residues":[302,302,302],"display_cycle":[302,302,302],"intervals":[{"from_index":627,"to_index":1363,"sum":277020,"residue":302},{"from_index":1363,"to_index":2099,"sum":258670,"residue":302},{"from_index":2099,"to_index":627,"sum":273350,"residue":302}],"minimal_cycle":[302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":302,"start_interval_clock_positions":[627,1363],"circle_positions":734,"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":[628,1364,2100],"clock_positions":[628,1364,2100],"native_values":[119,119,486],"rotation_degrees":102.3913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,119,486],"beta":{"interval_sums":[276966,258616,273296],"interval_residues":[248,248,248],"display_cycle":[248,248,248],"intervals":[{"from_index":628,"to_index":1364,"sum":276966,"residue":248},{"from_index":1364,"to_index":2100,"sum":258616,"residue":248},{"from_index":2100,"to_index":628,"sum":273296,"residue":248}],"minimal_cycle":[248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[628,1364],"circle_positions":734,"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":[629,1365,2101],"clock_positions":[629,1365,2101],"native_values":[551,184,551],"rotation_degrees":102.55434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,184,551],"beta":{"interval_sums":[276534,258918,272864],"interval_residues":[550,550,550],"display_cycle":[550,550,550],"intervals":[{"from_index":629,"to_index":1365,"sum":276534,"residue":550},{"from_index":1365,"to_index":2101,"sum":258918,"residue":550},{"from_index":2101,"to_index":629,"sum":272864,"residue":550}],"minimal_cycle":[550],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":550,"start_interval_clock_positions":[629,1365],"circle_positions":734,"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":[630,1366,2102],"clock_positions":[630,1366,2102],"native_values":[670,303,303],"rotation_degrees":102.71739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[670,303,303],"beta":{"interval_sums":[276048,259166,273112],"interval_residues":[64,64,64],"display_cycle":[64,64,64],"intervals":[{"from_index":630,"to_index":1366,"sum":276048,"residue":64},{"from_index":1366,"to_index":2102,"sum":259166,"residue":64},{"from_index":2102,"to_index":630,"sum":273112,"residue":64}],"minimal_cycle":[64],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":64,"start_interval_clock_positions":[630,1366],"circle_positions":734,"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":[631,1367,2103],"clock_positions":[631,1367,2103],"native_values":[487,487,120],"rotation_degrees":102.8804347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[487,487,120],"beta":{"interval_sums":[275864,258982,273662],"interval_residues":[614,614,614],"display_cycle":[614,614,614],"intervals":[{"from_index":631,"to_index":1367,"sum":275864,"residue":614},{"from_index":1367,"to_index":2103,"sum":258982,"residue":614},{"from_index":2103,"to_index":631,"sum":273662,"residue":614}],"minimal_cycle":[614],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":614,"start_interval_clock_positions":[631,1367],"circle_positions":734,"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":[632,1368,2104],"clock_positions":[632,1368,2104],"native_values":[423,56,423],"rotation_degrees":103.04347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[423,56,423],"beta":{"interval_sums":[275928,259046,273726],"interval_residues":[678,678,678],"display_cycle":[678,678,678],"intervals":[{"from_index":632,"to_index":1368,"sum":275928,"residue":678},{"from_index":1368,"to_index":2104,"sum":259046,"residue":678},{"from_index":2104,"to_index":632,"sum":273726,"residue":678}],"minimal_cycle":[678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[632,1368],"circle_positions":734,"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":[633,1369,2105],"clock_positions":[633,1369,2105],"native_values":[176,543,543],"rotation_degrees":103.20652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[176,543,543],"beta":{"interval_sums":[275808,258926,273606],"interval_residues":[558,558,558],"display_cycle":[558,558,558],"intervals":[{"from_index":633,"to_index":1369,"sum":275808,"residue":558},{"from_index":1369,"to_index":2105,"sum":258926,"residue":558},{"from_index":2105,"to_index":633,"sum":273606,"residue":558}],"minimal_cycle":[558],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":558,"start_interval_clock_positions":[633,1369],"circle_positions":734,"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":[634,1370,2106],"clock_positions":[634,1370,2106],"native_values":[599,599,232],"rotation_degrees":103.3695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[599,599,232],"beta":{"interval_sums":[275752,258870,273550],"interval_residues":[502,502,502],"display_cycle":[502,502,502],"intervals":[{"from_index":634,"to_index":1370,"sum":275752,"residue":502},{"from_index":1370,"to_index":2106,"sum":258870,"residue":502},{"from_index":2106,"to_index":634,"sum":273550,"residue":502}],"minimal_cycle":[502],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[634,1370],"circle_positions":734,"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":[635,1371,2107],"clock_positions":[635,1371,2107],"native_values":[41,408,41],"rotation_degrees":103.53260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,408,41],"beta":{"interval_sums":[276310,258694,274108],"interval_residues":[326,326,326],"display_cycle":[326,326,326],"intervals":[{"from_index":635,"to_index":1371,"sum":276310,"residue":326},{"from_index":1371,"to_index":2107,"sum":258694,"residue":326},{"from_index":2107,"to_index":635,"sum":274108,"residue":326}],"minimal_cycle":[326],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[635,1371],"circle_positions":734,"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":[636,1372,2108],"clock_positions":[636,1372,2108],"native_values":[640,273,273],"rotation_degrees":103.69565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[640,273,273],"beta":{"interval_sums":[276078,258462,273876],"interval_residues":[94,94,94],"display_cycle":[94,94,94],"intervals":[{"from_index":636,"to_index":1372,"sum":276078,"residue":94},{"from_index":1372,"to_index":2108,"sum":258462,"residue":94},{"from_index":2108,"to_index":636,"sum":273876,"residue":94}],"minimal_cycle":[94],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":94,"start_interval_clock_positions":[636,1372],"circle_positions":734,"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":[637,1373,2109],"clock_positions":[637,1373,2109],"native_values":[681,681,314],"rotation_degrees":103.8586956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[681,681,314],"beta":{"interval_sums":[275670,258054,274202],"interval_residues":[420,420,420],"display_cycle":[420,420,420],"intervals":[{"from_index":637,"to_index":1373,"sum":275670,"residue":420},{"from_index":1373,"to_index":2109,"sum":258054,"residue":420},{"from_index":2109,"to_index":637,"sum":274202,"residue":420}],"minimal_cycle":[420],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":420,"start_interval_clock_positions":[637,1373],"circle_positions":734,"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":[638,1374,2110],"clock_positions":[638,1374,2110],"native_values":[587,220,587],"rotation_degrees":104.02173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,220,587],"beta":{"interval_sums":[275764,258148,274296],"interval_residues":[514,514,514],"display_cycle":[514,514,514],"intervals":[{"from_index":638,"to_index":1374,"sum":275764,"residue":514},{"from_index":1374,"to_index":2110,"sum":258148,"residue":514},{"from_index":2110,"to_index":638,"sum":274296,"residue":514}],"minimal_cycle":[514],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":514,"start_interval_clock_positions":[638,1374],"circle_positions":734,"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":[639,1375,2111],"clock_positions":[639,1375,2111],"native_values":[534,167,167],"rotation_degrees":104.18478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[534,167,167],"beta":{"interval_sums":[275450,258568,274716],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":639,"to_index":1375,"sum":275450,"residue":200},{"from_index":1375,"to_index":2111,"sum":258568,"residue":200},{"from_index":2111,"to_index":639,"sum":274716,"residue":200}],"minimal_cycle":[200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[639,1375],"circle_positions":734,"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":[640,1376,2112],"clock_positions":[640,1376,2112],"native_values":[387,387,20],"rotation_degrees":104.34782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[387,387,20],"beta":{"interval_sums":[275230,258348,275230],"interval_residues":[714,714,714],"display_cycle":[714,714,714],"intervals":[{"from_index":640,"to_index":1376,"sum":275230,"residue":714},{"from_index":1376,"to_index":2112,"sum":258348,"residue":714},{"from_index":2112,"to_index":640,"sum":275230,"residue":714}],"minimal_cycle":[714],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":714,"start_interval_clock_positions":[640,1376],"circle_positions":734,"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":[641,1377,2113],"clock_positions":[641,1377,2113],"native_values":[187,554,187],"rotation_degrees":104.51086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[187,554,187],"beta":{"interval_sums":[275430,257814,275430],"interval_residues":[180,180,180],"display_cycle":[180,180,180],"intervals":[{"from_index":641,"to_index":1377,"sum":275430,"residue":180},{"from_index":1377,"to_index":2113,"sum":257814,"residue":180},{"from_index":2113,"to_index":641,"sum":275430,"residue":180}],"minimal_cycle":[180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[641,1377],"circle_positions":734,"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":[642,1378,2114],"clock_positions":[642,1378,2114],"native_values":[574,207,207],"rotation_degrees":104.67391304347827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[574,207,207],"beta":{"interval_sums":[275410,257794,275410],"interval_residues":[160,160,160],"display_cycle":[160,160,160],"intervals":[{"from_index":642,"to_index":1378,"sum":275410,"residue":160},{"from_index":1378,"to_index":2114,"sum":257794,"residue":160},{"from_index":2114,"to_index":642,"sum":275410,"residue":160}],"minimal_cycle":[160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":160,"start_interval_clock_positions":[642,1378],"circle_positions":734,"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":[643,1379,2115],"clock_positions":[643,1379,2115],"native_values":[27,27,394],"rotation_degrees":104.83695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,27,394],"beta":{"interval_sums":[275590,257974,275590],"interval_residues":[340,340,340],"display_cycle":[340,340,340],"intervals":[{"from_index":643,"to_index":1379,"sum":275590,"residue":340},{"from_index":1379,"to_index":2115,"sum":257974,"residue":340},{"from_index":2115,"to_index":643,"sum":275590,"residue":340}],"minimal_cycle":[340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":340,"start_interval_clock_positions":[643,1379],"circle_positions":734,"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":[644,1380,2116],"clock_positions":[644,1380,2116],"native_values":[601,234,601],"rotation_degrees":105.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[601,234,601],"beta":{"interval_sums":[275016,258134,275016],"interval_residues":[500,500,500],"display_cycle":[500,500,500],"intervals":[{"from_index":644,"to_index":1380,"sum":275016,"residue":500},{"from_index":1380,"to_index":2116,"sum":258134,"residue":500},{"from_index":2116,"to_index":644,"sum":275016,"residue":500}],"minimal_cycle":[500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[644,1380],"circle_positions":734,"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":[645,1381,2117],"clock_positions":[645,1381,2117],"native_values":[628,261,261],"rotation_degrees":105.16304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[628,261,261],"beta":{"interval_sums":[274622,258474,275356],"interval_residues":[106,106,106],"display_cycle":[106,106,106],"intervals":[{"from_index":645,"to_index":1381,"sum":274622,"residue":106},{"from_index":1381,"to_index":2117,"sum":258474,"residue":106},{"from_index":2117,"to_index":645,"sum":275356,"residue":106}],"minimal_cycle":[106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[645,1381],"circle_positions":734,"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":[646,1382,2118],"clock_positions":[646,1382,2118],"native_values":[495,495,128],"rotation_degrees":105.32608695652173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[495,495,128],"beta":{"interval_sums":[274388,258240,275856],"interval_residues":[606,606,606],"display_cycle":[606,606,606],"intervals":[{"from_index":646,"to_index":1382,"sum":274388,"residue":606},{"from_index":1382,"to_index":2118,"sum":258240,"residue":606},{"from_index":2118,"to_index":646,"sum":275856,"residue":606}],"minimal_cycle":[606],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":606,"start_interval_clock_positions":[646,1382],"circle_positions":734,"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":[647,1383,2119],"clock_positions":[647,1383,2119],"native_values":[389,22,389],"rotation_degrees":105.48913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[389,22,389],"beta":{"interval_sums":[274494,258346,275962],"interval_residues":[712,712,712],"display_cycle":[712,712,712],"intervals":[{"from_index":647,"to_index":1383,"sum":274494,"residue":712},{"from_index":1383,"to_index":2119,"sum":258346,"residue":712},{"from_index":2119,"to_index":647,"sum":275962,"residue":712}],"minimal_cycle":[712],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":712,"start_interval_clock_positions":[647,1383],"circle_positions":734,"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":[648,1384,2120],"clock_positions":[648,1384,2120],"native_values":[150,517,517],"rotation_degrees":105.65217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[150,517,517],"beta":{"interval_sums":[274366,258218,275834],"interval_residues":[584,584,584],"display_cycle":[584,584,584],"intervals":[{"from_index":648,"to_index":1384,"sum":274366,"residue":584},{"from_index":1384,"to_index":2120,"sum":258218,"residue":584},{"from_index":2120,"to_index":648,"sum":275834,"residue":584}],"minimal_cycle":[584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[648,1384],"circle_positions":734,"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":[649,1385,2121],"clock_positions":[649,1385,2121],"native_values":[539,539,172],"rotation_degrees":105.81521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[539,539,172],"beta":{"interval_sums":[274344,258196,275812],"interval_residues":[562,562,562],"display_cycle":[562,562,562],"intervals":[{"from_index":649,"to_index":1385,"sum":274344,"residue":562},{"from_index":1385,"to_index":2121,"sum":258196,"residue":562},{"from_index":2121,"to_index":649,"sum":275812,"residue":562}],"minimal_cycle":[562],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":562,"start_interval_clock_positions":[649,1385],"circle_positions":734,"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":[650,1386,2122],"clock_positions":[650,1386,2122],"native_values":[689,322,689],"rotation_degrees":105.97826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[689,322,689],"beta":{"interval_sums":[274194,258046,275662],"interval_residues":[412,412,412],"display_cycle":[412,412,412],"intervals":[{"from_index":650,"to_index":1386,"sum":274194,"residue":412},{"from_index":1386,"to_index":2122,"sum":258046,"residue":412},{"from_index":2122,"to_index":650,"sum":275662,"residue":412}],"minimal_cycle":[412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[650,1386],"circle_positions":734,"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":[651,1387,2123],"clock_positions":[651,1387,2123],"native_values":[494,127,127],"rotation_degrees":106.1413043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[494,127,127],"beta":{"interval_sums":[274022,258608,276224],"interval_residues":[240,240,240],"display_cycle":[240,240,240],"intervals":[{"from_index":651,"to_index":1387,"sum":274022,"residue":240},{"from_index":1387,"to_index":2123,"sum":258608,"residue":240},{"from_index":2123,"to_index":651,"sum":276224,"residue":240}],"minimal_cycle":[240],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[651,1387],"circle_positions":734,"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":[652,1388,2124],"clock_positions":[652,1388,2124],"native_values":[449,449,82],"rotation_degrees":106.30434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,449,82],"beta":{"interval_sums":[273700,258286,276636],"interval_residues":[652,652,652],"display_cycle":[652,652,652],"intervals":[{"from_index":652,"to_index":1388,"sum":273700,"residue":652},{"from_index":1388,"to_index":2124,"sum":258286,"residue":652},{"from_index":2124,"to_index":652,"sum":276636,"residue":652}],"minimal_cycle":[652],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[652,1388],"circle_positions":734,"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":[653,1389,2125],"clock_positions":[653,1389,2125],"native_values":[209,576,209],"rotation_degrees":106.46739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,576,209],"beta":{"interval_sums":[273940,257792,276876],"interval_residues":[158,158,158],"display_cycle":[158,158,158],"intervals":[{"from_index":653,"to_index":1389,"sum":273940,"residue":158},{"from_index":1389,"to_index":2125,"sum":257792,"residue":158},{"from_index":2125,"to_index":653,"sum":276876,"residue":158}],"minimal_cycle":[158],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":158,"start_interval_clock_positions":[653,1389],"circle_positions":734,"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":[654,1390,2126],"clock_positions":[654,1390,2126],"native_values":[658,291,291],"rotation_degrees":106.6304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[658,291,291],"beta":{"interval_sums":[273858,257710,276794],"interval_residues":[76,76,76],"display_cycle":[76,76,76],"intervals":[{"from_index":654,"to_index":1390,"sum":273858,"residue":76},{"from_index":1390,"to_index":2126,"sum":257710,"residue":76},{"from_index":2126,"to_index":654,"sum":276794,"residue":76}],"minimal_cycle":[76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[654,1390],"circle_positions":734,"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":[655,1391,2127],"clock_positions":[655,1391,2127],"native_values":[133,133,500],"rotation_degrees":106.79347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,133,500],"beta":{"interval_sums":[274016,257868,276952],"interval_residues":[234,234,234],"display_cycle":[234,234,234],"intervals":[{"from_index":655,"to_index":1391,"sum":274016,"residue":234},{"from_index":1391,"to_index":2127,"sum":257868,"residue":234},{"from_index":2127,"to_index":655,"sum":276952,"residue":234}],"minimal_cycle":[234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[655,1391],"circle_positions":734,"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":[656,1392,2128],"clock_positions":[656,1392,2128],"native_values":[57,424,57],"rotation_degrees":106.95652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,424,57],"beta":{"interval_sums":[274092,257944,277028],"interval_residues":[310,310,310],"display_cycle":[310,310,310],"intervals":[{"from_index":656,"to_index":1392,"sum":274092,"residue":310},{"from_index":1392,"to_index":2128,"sum":257944,"residue":310},{"from_index":2128,"to_index":656,"sum":277028,"residue":310}],"minimal_cycle":[310],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":310,"start_interval_clock_positions":[656,1392],"circle_positions":734,"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":[657,1393,2129],"clock_positions":[657,1393,2129],"native_values":[190,557,557],"rotation_degrees":107.1195652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[190,557,557],"beta":{"interval_sums":[274326,257444,276528],"interval_residues":[544,544,544],"display_cycle":[544,544,544],"intervals":[{"from_index":657,"to_index":1393,"sum":274326,"residue":544},{"from_index":1393,"to_index":2129,"sum":257444,"residue":544},{"from_index":2129,"to_index":657,"sum":276528,"residue":544}],"minimal_cycle":[544],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":544,"start_interval_clock_positions":[657,1393],"circle_positions":734,"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":[658,1394,2130],"clock_positions":[658,1394,2130],"native_values":[247,247,614],"rotation_degrees":107.28260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,247,614],"beta":{"interval_sums":[274636,257754,276104],"interval_residues":[120,120,120],"display_cycle":[120,120,120],"intervals":[{"from_index":658,"to_index":1394,"sum":274636,"residue":120},{"from_index":1394,"to_index":2130,"sum":257754,"residue":120},{"from_index":2130,"to_index":658,"sum":276104,"residue":120}],"minimal_cycle":[120],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[658,1394],"circle_positions":734,"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":[659,1395,2131],"clock_positions":[659,1395,2131],"native_values":[437,70,437],"rotation_degrees":107.44565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[437,70,437],"beta":{"interval_sums":[274446,258298,275914],"interval_residues":[664,664,664],"display_cycle":[664,664,664],"intervals":[{"from_index":659,"to_index":1395,"sum":274446,"residue":664},{"from_index":1395,"to_index":2131,"sum":258298,"residue":664},{"from_index":2131,"to_index":659,"sum":275914,"residue":664}],"minimal_cycle":[664],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":664,"start_interval_clock_positions":[659,1395],"circle_positions":734,"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":[660,1396,2132],"clock_positions":[660,1396,2132],"native_values":[684,317,317],"rotation_degrees":107.6086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[684,317,317],"beta":{"interval_sums":[273832,258418,276034],"interval_residues":[50,50,50],"display_cycle":[50,50,50],"intervals":[{"from_index":660,"to_index":1396,"sum":273832,"residue":50},{"from_index":1396,"to_index":2132,"sum":258418,"residue":50},{"from_index":2132,"to_index":660,"sum":276034,"residue":50}],"minimal_cycle":[50],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[660,1396],"circle_positions":734,"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":[661,1397,2133],"clock_positions":[661,1397,2133],"native_values":[387,387,20],"rotation_degrees":107.77173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[387,387,20],"beta":{"interval_sums":[273762,258348,276698],"interval_residues":[714,714,714],"display_cycle":[714,714,714],"intervals":[{"from_index":661,"to_index":1397,"sum":273762,"residue":714},{"from_index":1397,"to_index":2133,"sum":258348,"residue":714},{"from_index":2133,"to_index":661,"sum":276698,"residue":714}],"minimal_cycle":[714],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":714,"start_interval_clock_positions":[661,1397],"circle_positions":734,"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":[662,1398,2134],"clock_positions":[662,1398,2134],"native_values":[337,704,337],"rotation_degrees":107.93478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,704,337],"beta":{"interval_sums":[273812,257664,276748],"interval_residues":[30,30,30],"display_cycle":[30,30,30],"intervals":[{"from_index":662,"to_index":1398,"sum":273812,"residue":30},{"from_index":1398,"to_index":2134,"sum":257664,"residue":30},{"from_index":2134,"to_index":662,"sum":276748,"residue":30}],"minimal_cycle":[30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[662,1398],"circle_positions":734,"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":[663,1399,2135],"clock_positions":[663,1399,2135],"native_values":[724,357,357],"rotation_degrees":108.09782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[724,357,357],"beta":{"interval_sums":[273792,257644,276728],"interval_residues":[10,10,10],"display_cycle":[10,10,10],"intervals":[{"from_index":663,"to_index":1399,"sum":273792,"residue":10},{"from_index":1399,"to_index":2135,"sum":257644,"residue":10},{"from_index":2135,"to_index":663,"sum":276728,"residue":10}],"minimal_cycle":[10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":10,"start_interval_clock_positions":[663,1399],"circle_positions":734,"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":[664,1400,2136],"clock_positions":[664,1400,2136],"native_values":[327,327,694],"rotation_degrees":108.26086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,327,694],"beta":{"interval_sums":[273822,257674,276758],"interval_residues":[40,40,40],"display_cycle":[40,40,40],"intervals":[{"from_index":664,"to_index":1400,"sum":273822,"residue":40},{"from_index":1400,"to_index":2136,"sum":257674,"residue":40},{"from_index":2136,"to_index":664,"sum":276758,"residue":40}],"minimal_cycle":[40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[664,1400],"circle_positions":734,"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":[665,1401,2137],"clock_positions":[665,1401,2137],"native_values":[317,684,317],"rotation_degrees":108.42391304347827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,684,317],"beta":{"interval_sums":[273832,257684,276768],"interval_residues":[50,50,50],"display_cycle":[50,50,50],"intervals":[{"from_index":665,"to_index":1401,"sum":273832,"residue":50},{"from_index":1401,"to_index":2137,"sum":257684,"residue":50},{"from_index":2137,"to_index":665,"sum":276768,"residue":50}],"minimal_cycle":[50],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[665,1401],"circle_positions":734,"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":[666,1402,2138],"clock_positions":[666,1402,2138],"native_values":[644,277,277],"rotation_degrees":108.58695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[644,277,277],"beta":{"interval_sums":[273872,257724,276808],"interval_residues":[90,90,90],"display_cycle":[90,90,90],"intervals":[{"from_index":666,"to_index":1402,"sum":273872,"residue":90},{"from_index":1402,"to_index":2138,"sum":257724,"residue":90},{"from_index":2138,"to_index":666,"sum":276808,"residue":90}],"minimal_cycle":[90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[666,1402],"circle_positions":734,"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":[667,1403,2139],"clock_positions":[667,1403,2139],"native_values":[227,227,594],"rotation_degrees":108.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,227,594],"beta":{"interval_sums":[273922,257774,276858],"interval_residues":[140,140,140],"display_cycle":[140,140,140],"intervals":[{"from_index":667,"to_index":1403,"sum":273922,"residue":140},{"from_index":1403,"to_index":2139,"sum":257774,"residue":140},{"from_index":2139,"to_index":667,"sum":276858,"residue":140}],"minimal_cycle":[140],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":140,"start_interval_clock_positions":[667,1403],"circle_positions":734,"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":[668,1404,2140],"clock_positions":[668,1404,2140],"native_values":[137,504,137],"rotation_degrees":108.91304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,504,137],"beta":{"interval_sums":[274012,257864,276948],"interval_residues":[230,230,230],"display_cycle":[230,230,230],"intervals":[{"from_index":668,"to_index":1404,"sum":274012,"residue":230},{"from_index":1404,"to_index":2140,"sum":257864,"residue":230},{"from_index":2140,"to_index":668,"sum":276948,"residue":230}],"minimal_cycle":[230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[668,1404],"circle_positions":734,"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":[669,1405,2141],"clock_positions":[669,1405,2141],"native_values":[364,731,731],"rotation_degrees":109.07608695652173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[364,731,731],"beta":{"interval_sums":[274152,257270,276354],"interval_residues":[370,370,370],"display_cycle":[370,370,370],"intervals":[{"from_index":669,"to_index":1405,"sum":274152,"residue":370},{"from_index":1405,"to_index":2141,"sum":257270,"residue":370},{"from_index":2141,"to_index":669,"sum":276354,"residue":370}],"minimal_cycle":[370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[669,1405],"circle_positions":734,"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":[670,1406,2142],"clock_positions":[670,1406,2142],"native_values":[501,501,134],"rotation_degrees":109.23913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[501,501,134],"beta":{"interval_sums":[274382,257500,276584],"interval_residues":[600,600,600],"display_cycle":[600,600,600],"intervals":[{"from_index":670,"to_index":1406,"sum":274382,"residue":600},{"from_index":1406,"to_index":2142,"sum":257500,"residue":600},{"from_index":2142,"to_index":670,"sum":276584,"residue":600}],"minimal_cycle":[600],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":600,"start_interval_clock_positions":[670,1406],"circle_positions":734,"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":[671,1407,2143],"clock_positions":[671,1407,2143],"native_values":[131,498,131],"rotation_degrees":109.40217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,498,131],"beta":{"interval_sums":[274752,257136,276954],"interval_residues":[236,236,236],"display_cycle":[236,236,236],"intervals":[{"from_index":671,"to_index":1407,"sum":274752,"residue":236},{"from_index":1407,"to_index":2143,"sum":257136,"residue":236},{"from_index":2143,"to_index":671,"sum":276954,"residue":236}],"minimal_cycle":[236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[671,1407],"circle_positions":734,"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":[672,1408,2144],"clock_positions":[672,1408,2144],"native_values":[632,265,265],"rotation_degrees":109.56521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[632,265,265],"beta":{"interval_sums":[274618,257002,276820],"interval_residues":[102,102,102],"display_cycle":[102,102,102],"intervals":[{"from_index":672,"to_index":1408,"sum":274618,"residue":102},{"from_index":1408,"to_index":2144,"sum":257002,"residue":102},{"from_index":2144,"to_index":672,"sum":276820,"residue":102}],"minimal_cycle":[102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":102,"start_interval_clock_positions":[672,1408],"circle_positions":734,"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":[673,1409,2145],"clock_positions":[673,1409,2145],"native_values":[29,29,396],"rotation_degrees":109.72826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,29,396],"beta":{"interval_sums":[274854,257238,277056],"interval_residues":[338,338,338],"display_cycle":[338,338,338],"intervals":[{"from_index":673,"to_index":1409,"sum":274854,"residue":338},{"from_index":1409,"to_index":2145,"sum":257238,"residue":338},{"from_index":2145,"to_index":673,"sum":277056,"residue":338}],"minimal_cycle":[338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[673,1409],"circle_positions":734,"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":[674,1410,2146],"clock_positions":[674,1410,2146],"native_values":[661,294,661],"rotation_degrees":109.8913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[661,294,661],"beta":{"interval_sums":[274222,257340,276424],"interval_residues":[440,440,440],"display_cycle":[440,440,440],"intervals":[{"from_index":674,"to_index":1410,"sum":274222,"residue":440},{"from_index":1410,"to_index":2146,"sum":257340,"residue":440},{"from_index":2146,"to_index":674,"sum":276424,"residue":440}],"minimal_cycle":[440],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[674,1410],"circle_positions":734,"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":[675,1411,2147],"clock_positions":[675,1411,2147],"native_values":[690,323,323],"rotation_degrees":110.05434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[690,323,323],"beta":{"interval_sums":[273826,257678,276762],"interval_residues":[44,44,44],"display_cycle":[44,44,44],"intervals":[{"from_index":675,"to_index":1411,"sum":273826,"residue":44},{"from_index":1411,"to_index":2147,"sum":257678,"residue":44},{"from_index":2147,"to_index":675,"sum":276762,"residue":44}],"minimal_cycle":[44],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":44,"start_interval_clock_positions":[675,1411],"circle_positions":734,"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":[676,1412,2148],"clock_positions":[676,1412,2148],"native_values":[617,617,250],"rotation_degrees":110.21739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[617,617,250],"beta":{"interval_sums":[273532,257384,277202],"interval_residues":[484,484,484],"display_cycle":[484,484,484],"intervals":[{"from_index":676,"to_index":1412,"sum":273532,"residue":484},{"from_index":1412,"to_index":2148,"sum":257384,"residue":484},{"from_index":2148,"to_index":676,"sum":277202,"residue":484}],"minimal_cycle":[484],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":484,"start_interval_clock_positions":[676,1412],"circle_positions":734,"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":[677,1413,2149],"clock_positions":[677,1413,2149],"native_values":[573,206,573],"rotation_degrees":110.3804347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,206,573],"beta":{"interval_sums":[273576,257428,277246],"interval_residues":[528,528,528],"display_cycle":[528,528,528],"intervals":[{"from_index":677,"to_index":1413,"sum":273576,"residue":528},{"from_index":1413,"to_index":2149,"sum":257428,"residue":528},{"from_index":2149,"to_index":677,"sum":277246,"residue":528}],"minimal_cycle":[528],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":528,"start_interval_clock_positions":[677,1413],"circle_positions":734,"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":[678,1414,2150],"clock_positions":[678,1414,2150],"native_values":[456,89,89],"rotation_degrees":110.54347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[456,89,89],"beta":{"interval_sums":[273326,257912,277730],"interval_residues":[278,278,278],"display_cycle":[278,278,278],"intervals":[{"from_index":678,"to_index":1414,"sum":273326,"residue":278},{"from_index":1414,"to_index":2150,"sum":257912,"residue":278},{"from_index":2150,"to_index":678,"sum":277730,"residue":278}],"minimal_cycle":[278],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":278,"start_interval_clock_positions":[678,1414],"circle_positions":734,"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":[679,1415,2151],"clock_positions":[679,1415,2151],"native_values":[295,295,662],"rotation_degrees":110.70652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,295,662],"beta":{"interval_sums":[273120,257706,277524],"interval_residues":[72,72,72],"display_cycle":[72,72,72],"intervals":[{"from_index":679,"to_index":1415,"sum":273120,"residue":72},{"from_index":1415,"to_index":2151,"sum":257706,"residue":72},{"from_index":2151,"to_index":679,"sum":277524,"residue":72}],"minimal_cycle":[72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[679,1415],"circle_positions":734,"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":[680,1416,2152],"clock_positions":[680,1416,2152],"native_values":[17,384,17],"rotation_degrees":110.8695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,384,17],"beta":{"interval_sums":[273398,257984,277802],"interval_residues":[350,350,350],"display_cycle":[350,350,350],"intervals":[{"from_index":680,"to_index":1416,"sum":273398,"residue":350},{"from_index":1416,"to_index":2152,"sum":257984,"residue":350},{"from_index":2152,"to_index":680,"sum":277802,"residue":350}],"minimal_cycle":[350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[680,1416],"circle_positions":734,"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":[681,1417,2153],"clock_positions":[681,1417,2153],"native_values":[312,679,679],"rotation_degrees":111.03260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[312,679,679],"beta":{"interval_sums":[273470,257322,277140],"interval_residues":[422,422,422],"display_cycle":[422,422,422],"intervals":[{"from_index":681,"to_index":1417,"sum":273470,"residue":422},{"from_index":1417,"to_index":2153,"sum":257322,"residue":422},{"from_index":2153,"to_index":681,"sum":277140,"residue":422}],"minimal_cycle":[422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":422,"start_interval_clock_positions":[681,1417],"circle_positions":734,"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":[682,1418,2154],"clock_positions":[682,1418,2154],"native_values":[329,329,696],"rotation_degrees":111.19565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[329,329,696],"beta":{"interval_sums":[273820,257672,276756],"interval_residues":[38,38,38],"display_cycle":[38,38,38],"intervals":[{"from_index":682,"to_index":1418,"sum":273820,"residue":38},{"from_index":1418,"to_index":2154,"sum":257672,"residue":38},{"from_index":2154,"to_index":682,"sum":276756,"residue":38}],"minimal_cycle":[38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[682,1418],"circle_positions":734,"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":[683,1419,2155],"clock_positions":[683,1419,2155],"native_values":[641,274,641],"rotation_degrees":111.3586956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,274,641],"beta":{"interval_sums":[273508,258094,276444],"interval_residues":[460,460,460],"display_cycle":[460,460,460],"intervals":[{"from_index":683,"to_index":1419,"sum":273508,"residue":460},{"from_index":1419,"to_index":2155,"sum":258094,"residue":460},{"from_index":2155,"to_index":683,"sum":276444,"residue":460}],"minimal_cycle":[460],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":460,"start_interval_clock_positions":[683,1419],"circle_positions":734,"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":[684,1420,2156],"clock_positions":[684,1420,2156],"native_values":[236,603,603],"rotation_degrees":111.52173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[236,603,603],"beta":{"interval_sums":[273546,258132,276482],"interval_residues":[498,498,498],"display_cycle":[498,498,498],"intervals":[{"from_index":684,"to_index":1420,"sum":273546,"residue":498},{"from_index":1420,"to_index":2156,"sum":258132,"residue":498},{"from_index":2156,"to_index":684,"sum":276482,"residue":498}],"minimal_cycle":[498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[684,1420],"circle_positions":734,"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":[685,1421,2157],"clock_positions":[685,1421,2157],"native_values":[143,143,510],"rotation_degrees":111.68478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[143,143,510],"beta":{"interval_sums":[274006,258592,276208],"interval_residues":[224,224,224],"display_cycle":[224,224,224],"intervals":[{"from_index":685,"to_index":1421,"sum":274006,"residue":224},{"from_index":1421,"to_index":2157,"sum":258592,"residue":224},{"from_index":2157,"to_index":685,"sum":276208,"residue":224}],"minimal_cycle":[224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[685,1421],"circle_positions":734,"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":[686,1422,2158],"clock_positions":[686,1422,2158],"native_values":[379,12,379],"rotation_degrees":111.84782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[379,12,379],"beta":{"interval_sums":[273770,259090,275972],"interval_residues":[722,722,722],"display_cycle":[722,722,722],"intervals":[{"from_index":686,"to_index":1422,"sum":273770,"residue":722},{"from_index":1422,"to_index":2158,"sum":259090,"residue":722},{"from_index":2158,"to_index":686,"sum":275972,"residue":722}],"minimal_cycle":[722],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":722,"start_interval_clock_positions":[686,1422],"circle_positions":734,"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":[687,1423,2159],"clock_positions":[687,1423,2159],"native_values":[522,155,155],"rotation_degrees":112.01086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[522,155,155],"beta":{"interval_sums":[273260,259314,276196],"interval_residues":[212,212,212],"display_cycle":[212,212,212],"intervals":[{"from_index":687,"to_index":1423,"sum":273260,"residue":212},{"from_index":1423,"to_index":2159,"sum":259314,"residue":212},{"from_index":2159,"to_index":687,"sum":276196,"residue":212}],"minimal_cycle":[212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":212,"start_interval_clock_positions":[687,1423],"circle_positions":734,"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":[688,1424,2160],"clock_positions":[688,1424,2160],"native_values":[167,167,534],"rotation_degrees":112.17391304347827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,167,534],"beta":{"interval_sums":[273248,259302,276184],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":688,"to_index":1424,"sum":273248,"residue":200},{"from_index":1424,"to_index":2160,"sum":259302,"residue":200},{"from_index":2160,"to_index":688,"sum":276184,"residue":200}],"minimal_cycle":[200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[688,1424],"circle_positions":734,"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":[689,1425,2161],"clock_positions":[689,1425,2161],"native_values":[689,322,689],"rotation_degrees":112.33695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[689,322,689],"beta":{"interval_sums":[272726,259514,275662],"interval_residues":[412,412,412],"display_cycle":[412,412,412],"intervals":[{"from_index":689,"to_index":1425,"sum":272726,"residue":412},{"from_index":1425,"to_index":2161,"sum":259514,"residue":412},{"from_index":2161,"to_index":689,"sum":275662,"residue":412}],"minimal_cycle":[412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[689,1425],"circle_positions":734,"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":[690,1426,2162],"clock_positions":[690,1426,2162],"native_values":[122,489,489],"rotation_degrees":112.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[122,489,489],"beta":{"interval_sums":[272926,259714,275862],"interval_residues":[612,612,612],"display_cycle":[612,612,612],"intervals":[{"from_index":690,"to_index":1426,"sum":272926,"residue":612},{"from_index":1426,"to_index":2162,"sum":259714,"residue":612},{"from_index":2162,"to_index":690,"sum":275862,"residue":612}],"minimal_cycle":[612],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":612,"start_interval_clock_positions":[690,1426],"circle_positions":734,"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":[691,1427,2163],"clock_positions":[691,1427,2163],"native_values":[77,77,444],"rotation_degrees":112.66304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,77,444],"beta":{"interval_sums":[273338,260126,275540],"interval_residues":[290,290,290],"display_cycle":[290,290,290],"intervals":[{"from_index":691,"to_index":1427,"sum":273338,"residue":290},{"from_index":1427,"to_index":2163,"sum":260126,"residue":290},{"from_index":2163,"to_index":691,"sum":275540,"residue":290}],"minimal_cycle":[290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[691,1427],"circle_positions":734,"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":[692,1428,2164],"clock_positions":[692,1428,2164],"native_values":[199,566,199],"rotation_degrees":112.82608695652173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[199,566,199],"beta":{"interval_sums":[273216,260004,275418],"interval_residues":[168,168,168],"display_cycle":[168,168,168],"intervals":[{"from_index":692,"to_index":1428,"sum":273216,"residue":168},{"from_index":1428,"to_index":2164,"sum":260004,"residue":168},{"from_index":2164,"to_index":692,"sum":275418,"residue":168}],"minimal_cycle":[168],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":168,"start_interval_clock_positions":[692,1428],"circle_positions":734,"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":[693,1429,2165],"clock_positions":[693,1429,2165],"native_values":[276,643,643],"rotation_degrees":112.98913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[276,643,643],"beta":{"interval_sums":[273506,259560,274974],"interval_residues":[458,458,458],"display_cycle":[458,458,458],"intervals":[{"from_index":693,"to_index":1429,"sum":273506,"residue":458},{"from_index":1429,"to_index":2165,"sum":259560,"residue":458},{"from_index":2165,"to_index":693,"sum":274974,"residue":458}],"minimal_cycle":[458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":458,"start_interval_clock_positions":[693,1429],"circle_positions":734,"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":[694,1430,2166],"clock_positions":[694,1430,2166],"native_values":[475,475,108],"rotation_degrees":113.15217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[475,475,108],"beta":{"interval_sums":[273674,259728,275142],"interval_residues":[626,626,626],"display_cycle":[626,626,626],"intervals":[{"from_index":694,"to_index":1430,"sum":273674,"residue":626},{"from_index":1430,"to_index":2166,"sum":259728,"residue":626},{"from_index":2166,"to_index":694,"sum":275142,"residue":626}],"minimal_cycle":[626],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":626,"start_interval_clock_positions":[694,1430],"circle_positions":734,"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":[695,1431,2167],"clock_positions":[695,1431,2167],"native_values":[17,384,17],"rotation_degrees":113.31521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,384,17],"beta":{"interval_sums":[274132,259452,275600],"interval_residues":[350,350,350],"display_cycle":[350,350,350],"intervals":[{"from_index":695,"to_index":1431,"sum":274132,"residue":350},{"from_index":1431,"to_index":2167,"sum":259452,"residue":350},{"from_index":2167,"to_index":695,"sum":275600,"residue":350}],"minimal_cycle":[350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[695,1431],"circle_positions":734,"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":[696,1432,2168],"clock_positions":[696,1432,2168],"native_values":[492,125,125],"rotation_degrees":113.47826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,125,125],"beta":{"interval_sums":[274024,259344,275492],"interval_residues":[242,242,242],"display_cycle":[242,242,242],"intervals":[{"from_index":696,"to_index":1432,"sum":274024,"residue":242},{"from_index":1432,"to_index":2168,"sum":259344,"residue":242},{"from_index":2168,"to_index":696,"sum":275492,"residue":242}],"minimal_cycle":[242],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":242,"start_interval_clock_positions":[696,1432],"circle_positions":734,"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":[697,1433,2169],"clock_positions":[697,1433,2169],"native_values":[509,509,142],"rotation_degrees":113.6413043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[509,509,142],"beta":{"interval_sums":[273640,258960,275842],"interval_residues":[592,592,592],"display_cycle":[592,592,592],"intervals":[{"from_index":697,"to_index":1433,"sum":273640,"residue":592},{"from_index":1433,"to_index":2169,"sum":258960,"residue":592},{"from_index":2169,"to_index":697,"sum":275842,"residue":592}],"minimal_cycle":[592],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":592,"start_interval_clock_positions":[697,1433],"circle_positions":734,"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":[698,1434,2170],"clock_positions":[698,1434,2170],"native_values":[267,634,267],"rotation_degrees":113.80434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[267,634,267],"beta":{"interval_sums":[273882,258468,276084],"interval_residues":[100,100,100],"display_cycle":[100,100,100],"intervals":[{"from_index":698,"to_index":1434,"sum":273882,"residue":100},{"from_index":1434,"to_index":2170,"sum":258468,"residue":100},{"from_index":2170,"to_index":698,"sum":276084,"residue":100}],"minimal_cycle":[100],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":100,"start_interval_clock_positions":[698,1434],"circle_positions":734,"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":[699,1435,2171],"clock_positions":[699,1435,2171],"native_values":[42,409,409],"rotation_degrees":113.96739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[42,409,409],"beta":{"interval_sums":[274474,258326,275942],"interval_residues":[692,692,692],"display_cycle":[692,692,692],"intervals":[{"from_index":699,"to_index":1435,"sum":274474,"residue":692},{"from_index":1435,"to_index":2171,"sum":258326,"residue":692},{"from_index":2171,"to_index":699,"sum":275942,"residue":692}],"minimal_cycle":[692],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":692,"start_interval_clock_positions":[699,1435],"circle_positions":734,"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":[700,1436,2172],"clock_positions":[700,1436,2172],"native_values":[309,309,676],"rotation_degrees":114.1304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,309,676],"beta":{"interval_sums":[274574,258426,275308],"interval_residues":[58,58,58],"display_cycle":[58,58,58],"intervals":[{"from_index":700,"to_index":1436,"sum":274574,"residue":58},{"from_index":1436,"to_index":2172,"sum":258426,"residue":58},{"from_index":2172,"to_index":700,"sum":275308,"residue":58}],"minimal_cycle":[58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[700,1436],"circle_positions":734,"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":[701,1437,2173],"clock_positions":[701,1437,2173],"native_values":[351,718,351],"rotation_degrees":114.29347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,718,351],"beta":{"interval_sums":[274532,258384,275266],"interval_residues":[16,16,16],"display_cycle":[16,16,16],"intervals":[{"from_index":701,"to_index":1437,"sum":274532,"residue":16},{"from_index":1437,"to_index":2173,"sum":258384,"residue":16},{"from_index":2173,"to_index":701,"sum":275266,"residue":16}],"minimal_cycle":[16],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[701,1437],"circle_positions":734,"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":[702,1438,2174],"clock_positions":[702,1438,2174],"native_values":[660,293,293],"rotation_degrees":114.45652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[660,293,293],"beta":{"interval_sums":[274590,258442,275324],"interval_residues":[74,74,74],"display_cycle":[74,74,74],"intervals":[{"from_index":702,"to_index":1438,"sum":274590,"residue":74},{"from_index":1438,"to_index":2174,"sum":258442,"residue":74},{"from_index":2174,"to_index":702,"sum":275324,"residue":74}],"minimal_cycle":[74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[702,1438],"circle_positions":734,"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":[703,1439,2175],"clock_positions":[703,1439,2175],"native_values":[277,277,644],"rotation_degrees":114.6195652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,277,644],"beta":{"interval_sums":[274606,258458,275340],"interval_residues":[90,90,90],"display_cycle":[90,90,90],"intervals":[{"from_index":703,"to_index":1439,"sum":274606,"residue":90},{"from_index":1439,"to_index":2175,"sum":258458,"residue":90},{"from_index":2175,"to_index":703,"sum":275340,"residue":90}],"minimal_cycle":[90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[703,1439],"circle_positions":734,"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":[704,1440,2176],"clock_positions":[704,1440,2176],"native_values":[203,570,203],"rotation_degrees":114.78260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,570,203],"beta":{"interval_sums":[274680,258532,275414],"interval_residues":[164,164,164],"display_cycle":[164,164,164],"intervals":[{"from_index":704,"to_index":1440,"sum":274680,"residue":164},{"from_index":1440,"to_index":2176,"sum":258532,"residue":164},{"from_index":2176,"to_index":704,"sum":275414,"residue":164}],"minimal_cycle":[164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[704,1440],"circle_positions":734,"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":[705,1441,2177],"clock_positions":[705,1441,2177],"native_values":[480,113,113],"rotation_degrees":114.94565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[480,113,113],"beta":{"interval_sums":[274770,258622,275504],"interval_residues":[254,254,254],"display_cycle":[254,254,254],"intervals":[{"from_index":705,"to_index":1441,"sum":274770,"residue":254},{"from_index":1441,"to_index":2177,"sum":258622,"residue":254},{"from_index":2177,"to_index":705,"sum":275504,"residue":254}],"minimal_cycle":[254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":254,"start_interval_clock_positions":[705,1441],"circle_positions":734,"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":[706,1442,2178],"clock_positions":[706,1442,2178],"native_values":[683,683,316],"rotation_degrees":115.1086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[683,683,316],"beta":{"interval_sums":[274200,258052,275668],"interval_residues":[418,418,418],"display_cycle":[418,418,418],"intervals":[{"from_index":706,"to_index":1442,"sum":274200,"residue":418},{"from_index":1442,"to_index":2178,"sum":258052,"residue":418},{"from_index":2178,"to_index":706,"sum":275668,"residue":418}],"minimal_cycle":[418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":418,"start_interval_clock_positions":[706,1442],"circle_positions":734,"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":[707,1443,2179],"clock_positions":[707,1443,2179],"native_values":[429,62,429],"rotation_degrees":115.27173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,62,429],"beta":{"interval_sums":[274454,258306,275922],"interval_residues":[672,672,672],"display_cycle":[672,672,672],"intervals":[{"from_index":707,"to_index":1443,"sum":274454,"residue":672},{"from_index":1443,"to_index":2179,"sum":258306,"residue":672},{"from_index":2179,"to_index":707,"sum":275922,"residue":672}],"minimal_cycle":[672],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":672,"start_interval_clock_positions":[707,1443],"circle_positions":734,"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":[708,1444,2180],"clock_positions":[708,1444,2180],"native_values":[378,11,11],"rotation_degrees":115.43478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[378,11,11],"beta":{"interval_sums":[274138,258724,276340],"interval_residues":[356,356,356],"display_cycle":[356,356,356],"intervals":[{"from_index":708,"to_index":1444,"sum":274138,"residue":356},{"from_index":1444,"to_index":2180,"sum":258724,"residue":356},{"from_index":2180,"to_index":708,"sum":276340,"residue":356}],"minimal_cycle":[356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":356,"start_interval_clock_positions":[708,1444],"circle_positions":734,"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":[709,1445,2181],"clock_positions":[709,1445,2181],"native_values":[73,73,440],"rotation_degrees":115.59782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,73,440],"beta":{"interval_sums":[274076,258662,276278],"interval_residues":[294,294,294],"display_cycle":[294,294,294],"intervals":[{"from_index":709,"to_index":1445,"sum":274076,"residue":294},{"from_index":1445,"to_index":2181,"sum":258662,"residue":294},{"from_index":2181,"to_index":709,"sum":276278,"residue":294}],"minimal_cycle":[294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[709,1445],"circle_positions":734,"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":[710,1446,2182],"clock_positions":[710,1446,2182],"native_values":[451,84,451],"rotation_degrees":115.76086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,84,451],"beta":{"interval_sums":[273698,259018,275900],"interval_residues":[650,650,650],"display_cycle":[650,650,650],"intervals":[{"from_index":710,"to_index":1446,"sum":273698,"residue":650},{"from_index":1446,"to_index":2182,"sum":259018,"residue":650},{"from_index":2182,"to_index":710,"sum":275900,"residue":650}],"minimal_cycle":[650],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":650,"start_interval_clock_positions":[710,1446],"circle_positions":734,"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":[711,1447,2183],"clock_positions":[711,1447,2183],"native_values":[524,157,157],"rotation_degrees":115.92391304347827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[524,157,157],"beta":{"interval_sums":[273258,259312,276194],"interval_residues":[210,210,210],"display_cycle":[210,210,210],"intervals":[{"from_index":711,"to_index":1447,"sum":273258,"residue":210},{"from_index":1447,"to_index":2183,"sum":259312,"residue":210},{"from_index":2183,"to_index":711,"sum":276194,"residue":210}],"minimal_cycle":[210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[711,1447],"circle_positions":734,"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":[712,1448,2184],"clock_positions":[712,1448,2184],"native_values":[241,241,608],"rotation_degrees":116.08695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,241,608],"beta":{"interval_sums":[273174,259228,276110],"interval_residues":[126,126,126],"display_cycle":[126,126,126],"intervals":[{"from_index":712,"to_index":1448,"sum":273174,"residue":126},{"from_index":1448,"to_index":2184,"sum":259228,"residue":126},{"from_index":2184,"to_index":712,"sum":276110,"residue":126}],"minimal_cycle":[126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[712,1448],"circle_positions":734,"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":[713,1449,2185],"clock_positions":[713,1449,2185],"native_values":[31,398,31],"rotation_degrees":116.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,398,31],"beta":{"interval_sums":[273384,259438,276320],"interval_residues":[336,336,336],"display_cycle":[336,336,336],"intervals":[{"from_index":713,"to_index":1449,"sum":273384,"residue":336},{"from_index":1449,"to_index":2185,"sum":259438,"residue":336},{"from_index":2185,"to_index":713,"sum":276320,"residue":336}],"minimal_cycle":[336],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[713,1449],"circle_positions":734,"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":[714,1450,2186],"clock_positions":[714,1450,2186],"native_values":[272,639,639],"rotation_degrees":116.41304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[272,639,639],"beta":{"interval_sums":[273510,258830,275712],"interval_residues":[462,462,462],"display_cycle":[462,462,462],"intervals":[{"from_index":714,"to_index":1450,"sum":273510,"residue":462},{"from_index":1450,"to_index":2186,"sum":258830,"residue":462},{"from_index":2186,"to_index":714,"sum":275712,"residue":462}],"minimal_cycle":[462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":462,"start_interval_clock_positions":[714,1450],"circle_positions":734,"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":[715,1451,2187],"clock_positions":[715,1451,2187],"native_values":[303,303,670],"rotation_degrees":116.57608695652173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[303,303,670],"beta":{"interval_sums":[273846,259166,275314],"interval_residues":[64,64,64],"display_cycle":[64,64,64],"intervals":[{"from_index":715,"to_index":1451,"sum":273846,"residue":64},{"from_index":1451,"to_index":2187,"sum":259166,"residue":64},{"from_index":2187,"to_index":715,"sum":275314,"residue":64}],"minimal_cycle":[64],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":64,"start_interval_clock_positions":[715,1451],"circle_positions":734,"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":[716,1452,2188],"clock_positions":[716,1452,2188],"native_values":[575,208,575],"rotation_degrees":116.73913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[575,208,575],"beta":{"interval_sums":[273574,259628,275042],"interval_residues":[526,526,526],"display_cycle":[526,526,526],"intervals":[{"from_index":716,"to_index":1452,"sum":273574,"residue":526},{"from_index":1452,"to_index":2188,"sum":259628,"residue":526},{"from_index":2188,"to_index":716,"sum":275042,"residue":526}],"minimal_cycle":[526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":526,"start_interval_clock_positions":[716,1452],"circle_positions":734,"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":[717,1453,2189],"clock_positions":[717,1453,2189],"native_values":[144,511,511],"rotation_degrees":116.90217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,511,511],"beta":{"interval_sums":[273638,259692,275106],"interval_residues":[590,590,590],"display_cycle":[590,590,590],"intervals":[{"from_index":717,"to_index":1453,"sum":273638,"residue":590},{"from_index":1453,"to_index":2189,"sum":259692,"residue":590},{"from_index":2189,"to_index":717,"sum":275106,"residue":590}],"minimal_cycle":[590],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":590,"start_interval_clock_positions":[717,1453],"circle_positions":734,"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":[718,1454,2190],"clock_positions":[718,1454,2190],"native_values":[719,719,352],"rotation_degrees":117.06521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[719,719,352],"beta":{"interval_sums":[273430,259484,274898],"interval_residues":[382,382,382],"display_cycle":[382,382,382],"intervals":[{"from_index":718,"to_index":1454,"sum":273430,"residue":382},{"from_index":1454,"to_index":2190,"sum":259484,"residue":382},{"from_index":2190,"to_index":718,"sum":274898,"residue":382}],"minimal_cycle":[382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[718,1454],"circle_positions":734,"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":[719,1455,2191],"clock_positions":[719,1455,2191],"native_values":[129,496,129],"rotation_degrees":117.22826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[129,496,129],"beta":{"interval_sums":[274020,259340,275488],"interval_residues":[238,238,238],"display_cycle":[238,238,238],"intervals":[{"from_index":719,"to_index":1455,"sum":274020,"residue":238},{"from_index":1455,"to_index":2191,"sum":259340,"residue":238},{"from_index":2191,"to_index":719,"sum":275488,"residue":238}],"minimal_cycle":[238],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":238,"start_interval_clock_positions":[719,1455],"circle_positions":734,"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":[720,1456,2192],"clock_positions":[720,1456,2192],"native_values":[114,481,481],"rotation_degrees":117.3913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[114,481,481],"beta":{"interval_sums":[274402,258988,275136],"interval_residues":[620,620,620],"display_cycle":[620,620,620],"intervals":[{"from_index":720,"to_index":1456,"sum":274402,"residue":620},{"from_index":1456,"to_index":2192,"sum":258988,"residue":620},{"from_index":2192,"to_index":720,"sum":275136,"residue":620}],"minimal_cycle":[620],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":620,"start_interval_clock_positions":[720,1456],"circle_positions":734,"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":[721,1457,2193],"clock_positions":[721,1457,2193],"native_values":[243,243,610],"rotation_degrees":117.55434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,243,610],"beta":{"interval_sums":[274640,259226,274640],"interval_residues":[124,124,124],"display_cycle":[124,124,124],"intervals":[{"from_index":721,"to_index":1457,"sum":274640,"residue":124},{"from_index":1457,"to_index":2193,"sum":259226,"residue":124},{"from_index":2193,"to_index":721,"sum":274640,"residue":124}],"minimal_cycle":[124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[721,1457],"circle_positions":734,"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":[722,1458,2194],"clock_positions":[722,1458,2194],"native_values":[357,724,357],"rotation_degrees":117.71739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,724,357],"beta":{"interval_sums":[274526,259112,274526],"interval_residues":[10,10,10],"display_cycle":[10,10,10],"intervals":[{"from_index":722,"to_index":1458,"sum":274526,"residue":10},{"from_index":1458,"to_index":2194,"sum":259112,"residue":10},{"from_index":2194,"to_index":722,"sum":274526,"residue":10}],"minimal_cycle":[10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":10,"start_interval_clock_positions":[722,1458],"circle_positions":734,"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":[723,1459,2195],"clock_positions":[723,1459,2195],"native_values":[600,233,233],"rotation_degrees":117.8804347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[600,233,233],"beta":{"interval_sums":[274650,259236,274650],"interval_residues":[134,134,134],"display_cycle":[134,134,134],"intervals":[{"from_index":723,"to_index":1459,"sum":274650,"residue":134},{"from_index":1459,"to_index":2195,"sum":259236,"residue":134},{"from_index":2195,"to_index":723,"sum":274650,"residue":134}],"minimal_cycle":[134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[723,1459],"circle_positions":734,"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":[724,1460,2196],"clock_positions":[724,1460,2196],"native_values":[223,223,590],"rotation_degrees":118.04347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,223,590],"beta":{"interval_sums":[274660,259246,274660],"interval_residues":[144,144,144],"display_cycle":[144,144,144],"intervals":[{"from_index":724,"to_index":1460,"sum":274660,"residue":144},{"from_index":1460,"to_index":2196,"sum":259246,"residue":144},{"from_index":2196,"to_index":724,"sum":274660,"residue":144}],"minimal_cycle":[144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[724,1460],"circle_positions":734,"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":[725,1461,2197],"clock_positions":[725,1461,2197],"native_values":[89,456,89],"rotation_degrees":118.20652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,456,89],"beta":{"interval_sums":[274794,259380,274794],"interval_residues":[278,278,278],"display_cycle":[278,278,278],"intervals":[{"from_index":725,"to_index":1461,"sum":274794,"residue":278},{"from_index":1461,"to_index":2197,"sum":259380,"residue":278},{"from_index":2197,"to_index":725,"sum":274794,"residue":278}],"minimal_cycle":[278],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":278,"start_interval_clock_positions":[725,1461],"circle_positions":734,"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":[726,1462,2198],"clock_positions":[726,1462,2198],"native_values":[312,679,679],"rotation_degrees":118.3695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[312,679,679],"beta":{"interval_sums":[274938,258790,274204],"interval_residues":[422,422,422],"display_cycle":[422,422,422],"intervals":[{"from_index":726,"to_index":1462,"sum":274938,"residue":422},{"from_index":1462,"to_index":2198,"sum":258790,"residue":422},{"from_index":2198,"to_index":726,"sum":274204,"residue":422}],"minimal_cycle":[422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":422,"start_interval_clock_positions":[726,1462],"circle_positions":734,"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":[727,1463,2199],"clock_positions":[727,1463,2199],"native_values":[401,401,34],"rotation_degrees":118.53260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[401,401,34],"beta":{"interval_sums":[275216,259068,274482],"interval_residues":[700,700,700],"display_cycle":[700,700,700],"intervals":[{"from_index":727,"to_index":1463,"sum":275216,"residue":700},{"from_index":1463,"to_index":2199,"sum":259068,"residue":700},{"from_index":2199,"to_index":727,"sum":274482,"residue":700}],"minimal_cycle":[700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[727,1463],"circle_positions":734,"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":[728,1464,2200],"clock_positions":[728,1464,2200],"native_values":[713,346,713],"rotation_degrees":118.69565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[713,346,713],"beta":{"interval_sums":[274904,258756,274170],"interval_residues":[388,388,388],"display_cycle":[388,388,388],"intervals":[{"from_index":728,"to_index":1464,"sum":274904,"residue":388},{"from_index":1464,"to_index":2200,"sum":258756,"residue":388},{"from_index":2200,"to_index":728,"sum":274170,"residue":388}],"minimal_cycle":[388],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":388,"start_interval_clock_positions":[728,1464],"circle_positions":734,"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":[729,1465,2201],"clock_positions":[729,1465,2201],"native_values":[380,13,13],"rotation_degrees":118.8586956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[380,13,13],"beta":{"interval_sums":[274870,259456,274870],"interval_residues":[354,354,354],"display_cycle":[354,354,354],"intervals":[{"from_index":729,"to_index":1465,"sum":274870,"residue":354},{"from_index":1465,"to_index":2201,"sum":259456,"residue":354},{"from_index":2201,"to_index":729,"sum":274870,"residue":354}],"minimal_cycle":[354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":354,"start_interval_clock_positions":[729,1465],"circle_positions":734,"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":[730,1466,2202],"clock_positions":[730,1466,2202],"native_values":[359,359,726],"rotation_degrees":119.02173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,359,726],"beta":{"interval_sums":[274524,259110,274524],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":730,"to_index":1466,"sum":274524,"residue":8},{"from_index":1466,"to_index":2202,"sum":259110,"residue":8},{"from_index":2202,"to_index":730,"sum":274524,"residue":8}],"minimal_cycle":[8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[730,1466],"circle_positions":734,"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":[731,1467,2203],"clock_positions":[731,1467,2203],"native_values":[5,372,5],"rotation_degrees":119.18478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,372,5],"beta":{"interval_sums":[274878,259464,274878],"interval_residues":[362,362,362],"display_cycle":[362,362,362],"intervals":[{"from_index":731,"to_index":1467,"sum":274878,"residue":362},{"from_index":1467,"to_index":2203,"sum":259464,"residue":362},{"from_index":2203,"to_index":731,"sum":274878,"residue":362}],"minimal_cycle":[362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[731,1467],"circle_positions":734,"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":[732,1468,2204],"clock_positions":[732,1468,2204],"native_values":[364,731,731],"rotation_degrees":119.34782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[364,731,731],"beta":{"interval_sums":[274886,258738,274152],"interval_residues":[370,370,370],"display_cycle":[370,370,370],"intervals":[{"from_index":732,"to_index":1468,"sum":274886,"residue":370},{"from_index":1468,"to_index":2204,"sum":258738,"residue":370},{"from_index":2204,"to_index":732,"sum":274152,"residue":370}],"minimal_cycle":[370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[732,1468],"circle_positions":734,"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":[733,1469,2205],"clock_positions":[733,1469,2205],"native_values":[369,369,2],"rotation_degrees":119.51086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[369,369,2],"beta":{"interval_sums":[275248,259100,274514],"interval_residues":[732,732,732],"display_cycle":[732,732,732],"intervals":[{"from_index":733,"to_index":1469,"sum":275248,"residue":732},{"from_index":1469,"to_index":2205,"sum":259100,"residue":732},{"from_index":2205,"to_index":733,"sum":274514,"residue":732}],"minimal_cycle":[732],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":732,"start_interval_clock_positions":[733,1469],"circle_positions":734,"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":[734,1470,2206],"clock_positions":[734,1470,2206],"native_values":[733,366,733],"rotation_degrees":119.67391304347827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[733,366,733],"beta":{"interval_sums":[274884,258736,274150],"interval_residues":[368,368,368],"display_cycle":[368,368,368],"intervals":[{"from_index":734,"to_index":1470,"sum":274884,"residue":368},{"from_index":1470,"to_index":2206,"sum":258736,"residue":368},{"from_index":2206,"to_index":734,"sum":274150,"residue":368}],"minimal_cycle":[368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":368,"start_interval_clock_positions":[734,1470],"circle_positions":734,"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":[735,1471,2207],"clock_positions":[735,1471,2207],"native_values":[368,1,1],"rotation_degrees":119.83695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[368,1,1],"beta":{"interval_sums":[274882,259468,274882],"interval_residues":[366,366,366],"display_cycle":[366,366,366],"intervals":[{"from_index":735,"to_index":1471,"sum":274882,"residue":366},{"from_index":1471,"to_index":2207,"sum":259468,"residue":366},{"from_index":2207,"to_index":735,"sum":274882,"residue":366}],"minimal_cycle":[366],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":366,"start_interval_clock_positions":[735,1471],"circle_positions":734,"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":[0,368,736,1104,1472,1840],"clock_positions":[2208,368,736,1104,1472,1840],"native_values":[734,367,367,734,367,367],"rotation_degrees":0.0,"north_south":true,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[734,367,367],"beta":{"interval_sums":[133219,141664,138357,136159,127714,131021],"interval_residues":[365,2,365,369,732,369],"display_cycle":[365,2,365,369,732,369],"intervals":[{"from_index":0,"to_index":368,"sum":133219,"residue":365},{"from_index":368,"to_index":736,"sum":141664,"residue":2},{"from_index":736,"to_index":1104,"sum":138357,"residue":365},{"from_index":1104,"to_index":1472,"sum":136159,"residue":369},{"from_index":1472,"to_index":1840,"sum":127714,"residue":732},{"from_index":1840,"to_index":0,"sum":131021,"residue":369}],"minimal_cycle":[365,2,365,369,732,369],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":365,"start_interval_clock_positions":[2208,368],"circle_positions":734,"cycle_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":[1,369,737,1105,1473,1841],"clock_positions":[1,369,737,1105,1473,1841],"native_values":[1,366,1,733,368,733],"rotation_degrees":0.16304347826086957,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,366,1,733,368,733],"beta":{"interval_sums":[133585,141665,138356,135793,127713,130288],"interval_residues":[731,3,364,3,731,370],"display_cycle":[731,3,364,3,731,370],"intervals":[{"from_index":1,"to_index":369,"sum":133585,"residue":731},{"from_index":369,"to_index":737,"sum":141665,"residue":3},{"from_index":737,"to_index":1105,"sum":138356,"residue":364},{"from_index":1105,"to_index":1473,"sum":135793,"residue":3},{"from_index":1473,"to_index":1841,"sum":127713,"residue":731},{"from_index":1841,"to_index":1,"sum":130288,"residue":370}],"minimal_cycle":[731,3,364,3,731,370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":731,"start_interval_clock_positions":[1,369],"circle_positions":734,"cycle_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":[2,370,738,1106,1474,1842],"clock_positions":[2,370,738,1106,1474,1842],"native_values":[1,733,368,733,1,366],"rotation_degrees":0.32608695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,733,368,733,1,366],"beta":{"interval_sums":[133950,140933,138721,135428,128445,129923],"interval_residues":[362,5,729,372,729,5],"display_cycle":[362,5,729,372,729,5],"intervals":[{"from_index":2,"to_index":370,"sum":133950,"residue":362},{"from_index":370,"to_index":738,"sum":140933,"residue":5},{"from_index":738,"to_index":1106,"sum":138721,"residue":729},{"from_index":1106,"to_index":1474,"sum":135428,"residue":372},{"from_index":1474,"to_index":1842,"sum":128445,"residue":729},{"from_index":1842,"to_index":2,"sum":129923,"residue":5}],"minimal_cycle":[362,5,729,372,729,5],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[2,370],"circle_positions":734,"cycle_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":[3,371,739,1107,1475,1843],"clock_positions":[3,371,739,1107,1475,1843],"native_values":[2,365,369,732,369,365],"rotation_degrees":0.4891304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,365,369,732,369,365],"beta":{"interval_sums":[134681,140936,139085,134697,128442,129559],"interval_residues":[359,8,359,375,726,375],"display_cycle":[359,8,359,375,726,375],"intervals":[{"from_index":3,"to_index":371,"sum":134681,"residue":359},{"from_index":371,"to_index":739,"sum":140936,"residue":8},{"from_index":739,"to_index":1107,"sum":139085,"residue":359},{"from_index":1107,"to_index":1475,"sum":134697,"residue":375},{"from_index":1475,"to_index":1843,"sum":128442,"residue":726},{"from_index":1843,"to_index":3,"sum":129559,"residue":375}],"minimal_cycle":[359,8,359,375,726,375],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":359,"start_interval_clock_positions":[3,371],"circle_positions":734,"cycle_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":[4,372,740,1108,1476,1844],"clock_positions":[4,372,740,1108,1476,1844],"native_values":[3,364,3,731,370,731],"rotation_degrees":0.6521739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,364,3,731,370,731],"beta":{"interval_sums":[135043,140941,139814,134335,128437,128830],"interval_residues":[721,13,354,13,721,380],"display_cycle":[721,13,354,13,721,380],"intervals":[{"from_index":4,"to_index":372,"sum":135043,"residue":721},{"from_index":372,"to_index":740,"sum":140941,"residue":13},{"from_index":740,"to_index":1108,"sum":139814,"residue":354},{"from_index":1108,"to_index":1476,"sum":134335,"residue":13},{"from_index":1476,"to_index":1844,"sum":128437,"residue":721},{"from_index":1844,"to_index":4,"sum":128830,"residue":380}],"minimal_cycle":[721,13,354,13,721,380],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":721,"start_interval_clock_positions":[4,372],"circle_positions":734,"cycle_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":[5,373,741,1109,1477,1845],"clock_positions":[5,373,741,1109,1477,1845],"native_values":[5,729,372,729,5,362],"rotation_degrees":0.8152173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,729,372,729,5,362],"beta":{"interval_sums":[135402,140215,140173,133976,129163,128471],"interval_residues":[346,21,713,388,713,21],"display_cycle":[346,21,713,388,713,21],"intervals":[{"from_index":5,"to_index":373,"sum":135402,"residue":346},{"from_index":373,"to_index":741,"sum":140215,"residue":21},{"from_index":741,"to_index":1109,"sum":140173,"residue":713},{"from_index":1109,"to_index":1477,"sum":133976,"residue":388},{"from_index":1477,"to_index":1845,"sum":129163,"residue":713},{"from_index":1845,"to_index":5,"sum":128471,"residue":21}],"minimal_cycle":[346,21,713,388,713,21],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[5,373],"circle_positions":734,"cycle_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":[6,374,742,1110,1478,1846],"clock_positions":[6,374,742,1110,1478,1846],"native_values":[8,359,375,726,375,359],"rotation_degrees":0.9782608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,359,375,726,375,359],"beta":{"interval_sums":[136123,140228,140527,133255,129150,128117],"interval_residues":[333,34,333,401,700,401],"display_cycle":[333,34,333,401,700,401],"intervals":[{"from_index":6,"to_index":374,"sum":136123,"residue":333},{"from_index":374,"to_index":742,"sum":140228,"residue":34},{"from_index":742,"to_index":1110,"sum":140527,"residue":333},{"from_index":1110,"to_index":1478,"sum":133255,"residue":401},{"from_index":1478,"to_index":1846,"sum":129150,"residue":700},{"from_index":1846,"to_index":6,"sum":128117,"residue":401}],"minimal_cycle":[333,34,333,401,700,401],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":333,"start_interval_clock_positions":[6,374],"circle_positions":734,"cycle_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":[7,375,743,1111,1479,1847],"clock_positions":[7,375,743,1111,1479,1847],"native_values":[13,354,13,721,380,721],"rotation_degrees":1.141304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,354,13,721,380,721],"beta":{"interval_sums":[136469,140249,141240,132909,129129,127404],"interval_residues":[679,55,312,55,679,422],"display_cycle":[679,55,312,55,679,422],"intervals":[{"from_index":7,"to_index":375,"sum":136469,"residue":679},{"from_index":375,"to_index":743,"sum":140249,"residue":55},{"from_index":743,"to_index":1111,"sum":141240,"residue":312},{"from_index":1111,"to_index":1479,"sum":132909,"residue":55},{"from_index":1479,"to_index":1847,"sum":129129,"residue":679},{"from_index":1847,"to_index":7,"sum":127404,"residue":422}],"minimal_cycle":[679,55,312,55,679,422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":679,"start_interval_clock_positions":[7,375],"circle_positions":734,"cycle_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":[8,376,744,1112,1480,1848],"clock_positions":[8,376,744,1112,1480,1848],"native_values":[21,713,388,713,21,346],"rotation_degrees":1.3043478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,713,388,713,21,346],"beta":{"interval_sums":[136802,139549,141573,132576,129829,127071],"interval_residues":[278,89,645,456,645,89],"display_cycle":[278,89,645,456,645,89],"intervals":[{"from_index":8,"to_index":376,"sum":136802,"residue":278},{"from_index":376,"to_index":744,"sum":139549,"residue":89},{"from_index":744,"to_index":1112,"sum":141573,"residue":645},{"from_index":1112,"to_index":1480,"sum":132576,"residue":456},{"from_index":1480,"to_index":1848,"sum":129829,"residue":645},{"from_index":1848,"to_index":8,"sum":127071,"residue":89}],"minimal_cycle":[278,89,645,456,645,89],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":278,"start_interval_clock_positions":[8,376],"circle_positions":734,"cycle_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":[9,377,745,1113,1481,1849],"clock_positions":[9,377,745,1113,1481,1849],"native_values":[34,333,401,700,401,333],"rotation_degrees":1.4673913043478262,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,333,401,700,401,333],"beta":{"interval_sums":[137481,139604,141885,131897,129774,126759],"interval_residues":[223,144,223,511,590,511],"display_cycle":[223,144,223,511,590,511],"intervals":[{"from_index":9,"to_index":377,"sum":137481,"residue":223},{"from_index":377,"to_index":745,"sum":139604,"residue":144},{"from_index":745,"to_index":1113,"sum":141885,"residue":223},{"from_index":1113,"to_index":1481,"sum":131897,"residue":511},{"from_index":1481,"to_index":1849,"sum":129774,"residue":590},{"from_index":1849,"to_index":9,"sum":126759,"residue":511}],"minimal_cycle":[223,144,223,511,590,511],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":223,"start_interval_clock_positions":[9,377],"circle_positions":734,"cycle_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":[10,378,746,1114,1482,1850],"clock_positions":[10,378,746,1114,1482,1850],"native_values":[55,312,55,679,422,679],"rotation_degrees":1.6304347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,312,55,679,422,679],"beta":{"interval_sums":[137759,139693,142530,131619,129685,126114],"interval_residues":[501,233,134,233,501,600],"display_cycle":[501,233,134,233,501,600],"intervals":[{"from_index":10,"to_index":378,"sum":137759,"residue":501},{"from_index":378,"to_index":746,"sum":139693,"residue":233},{"from_index":746,"to_index":1114,"sum":142530,"residue":134},{"from_index":1114,"to_index":1482,"sum":131619,"residue":233},{"from_index":1482,"to_index":1850,"sum":129685,"residue":501},{"from_index":1850,"to_index":10,"sum":126114,"residue":600}],"minimal_cycle":[501,233,134,233,501,600],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":501,"start_interval_clock_positions":[10,378],"circle_positions":734,"cycle_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":[11,379,747,1115,1483,1851],"clock_positions":[11,379,747,1115,1483,1851],"native_values":[89,645,456,645,89,278],"rotation_degrees":1.7934782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,645,456,645,89,278],"beta":{"interval_sums":[137982,139103,142753,131396,130275,125891],"interval_residues":[724,377,357,10,357,377],"display_cycle":[724,377,357,10,357,377],"intervals":[{"from_index":11,"to_index":379,"sum":137982,"residue":724},{"from_index":379,"to_index":747,"sum":139103,"residue":377},{"from_index":747,"to_index":1115,"sum":142753,"residue":357},{"from_index":1115,"to_index":1483,"sum":131396,"residue":10},{"from_index":1483,"to_index":1851,"sum":130275,"residue":357},{"from_index":1851,"to_index":11,"sum":125891,"residue":377}],"minimal_cycle":[724,377,357,10,357,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":724,"start_interval_clock_positions":[11,379],"circle_positions":734,"cycle_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":[12,380,748,1116,1484,1852],"clock_positions":[12,380,748,1116,1484,1852],"native_values":[144,223,511,590,511,223],"rotation_degrees":1.9565217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,223,511,590,511,223],"beta":{"interval_sums":[138483,139336,142887,130895,130042,125757],"interval_residues":[491,610,491,243,124,243],"display_cycle":[491,610,491,243,124,243],"intervals":[{"from_index":12,"to_index":380,"sum":138483,"residue":491},{"from_index":380,"to_index":748,"sum":139336,"residue":610},{"from_index":748,"to_index":1116,"sum":142887,"residue":491},{"from_index":1116,"to_index":1484,"sum":130895,"residue":243},{"from_index":1484,"to_index":1852,"sum":130042,"residue":124},{"from_index":1852,"to_index":12,"sum":125757,"residue":243}],"minimal_cycle":[491,610,491,243,124,243],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":491,"start_interval_clock_positions":[12,380],"circle_positions":734,"cycle_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":[13,381,749,1117,1485,1853],"clock_positions":[13,381,749,1117,1485,1853],"native_values":[233,134,233,501,600,501],"rotation_degrees":2.119565217391304,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,134,233,501,600,501],"beta":{"interval_sums":[138473,139713,143244,130905,129665,125400],"interval_residues":[481,253,114,253,481,620],"display_cycle":[481,253,114,253,481,620],"intervals":[{"from_index":13,"to_index":381,"sum":138473,"residue":481},{"from_index":381,"to_index":749,"sum":139713,"residue":253},{"from_index":749,"to_index":1117,"sum":143244,"residue":114},{"from_index":1117,"to_index":1485,"sum":130905,"residue":253},{"from_index":1485,"to_index":1853,"sum":129665,"residue":481},{"from_index":1853,"to_index":13,"sum":125400,"residue":620}],"minimal_cycle":[481,253,114,253,481,620],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":481,"start_interval_clock_positions":[13,381],"circle_positions":734,"cycle_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":[14,382,750,1118,1486,1854],"clock_positions":[14,382,750,1118,1486,1854],"native_values":[377,357,10,357,377,724],"rotation_degrees":2.282608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,357,10,357,377,724],"beta":{"interval_sums":[138230,139589,143735,131148,129789,124909],"interval_residues":[238,129,605,496,605,129],"display_cycle":[238,129,605,496,605,129],"intervals":[{"from_index":14,"to_index":382,"sum":138230,"residue":238},{"from_index":382,"to_index":750,"sum":139589,"residue":129},{"from_index":750,"to_index":1118,"sum":143735,"residue":605},{"from_index":1118,"to_index":1486,"sum":131148,"residue":496},{"from_index":1486,"to_index":1854,"sum":129789,"residue":605},{"from_index":1854,"to_index":14,"sum":124909,"residue":129}],"minimal_cycle":[238,129,605,496,605,129],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":238,"start_interval_clock_positions":[14,382],"circle_positions":734,"cycle_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":[15,383,751,1119,1487,1855],"clock_positions":[15,383,751,1119,1487,1855],"native_values":[610,491,243,124,243,491],"rotation_degrees":2.4456521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,491,243,124,243,491],"beta":{"interval_sums":[137977,139108,143849,131401,130270,124795],"interval_residues":[719,382,719,15,352,15],"display_cycle":[719,382,719,15,352,15],"intervals":[{"from_index":15,"to_index":383,"sum":137977,"residue":719},{"from_index":383,"to_index":751,"sum":139108,"residue":382},{"from_index":751,"to_index":1119,"sum":143849,"residue":719},{"from_index":1119,"to_index":1487,"sum":131401,"residue":15},{"from_index":1487,"to_index":1855,"sum":130270,"residue":352},{"from_index":1855,"to_index":15,"sum":124795,"residue":15}],"minimal_cycle":[719,382,719,15,352,15],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":719,"start_interval_clock_positions":[15,383],"circle_positions":734,"cycle_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":[16,384,752,1120,1488,1856],"clock_positions":[16,384,752,1120,1488,1856],"native_values":[253,114,253,481,620,481],"rotation_degrees":2.608695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[253,114,253,481,620,481],"beta":{"interval_sums":[138215,139237,143720,131163,130141,124924],"interval_residues":[223,511,590,511,223,144],"display_cycle":[223,511,590,511,223,144],"intervals":[{"from_index":16,"to_index":384,"sum":138215,"residue":223},{"from_index":384,"to_index":752,"sum":139237,"residue":511},{"from_index":752,"to_index":1120,"sum":143720,"residue":590},{"from_index":1120,"to_index":1488,"sum":131163,"residue":511},{"from_index":1488,"to_index":1856,"sum":130141,"residue":223},{"from_index":1856,"to_index":16,"sum":124924,"residue":144}],"minimal_cycle":[223,511,590,511,223,144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":223,"start_interval_clock_positions":[16,384],"circle_positions":734,"cycle_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":[17,385,753,1121,1489,1857],"clock_positions":[17,385,753,1121,1489,1857],"native_values":[129,605,496,605,129,238],"rotation_degrees":2.7717391304347827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[129,605,496,605,129,238],"beta":{"interval_sums":[138200,138885,143705,131178,130493,124939],"interval_residues":[208,159,575,526,575,159],"display_cycle":[208,159,575,526,575,159],"intervals":[{"from_index":17,"to_index":385,"sum":138200,"residue":208},{"from_index":385,"to_index":753,"sum":138885,"residue":159},{"from_index":753,"to_index":1121,"sum":143705,"residue":575},{"from_index":1121,"to_index":1489,"sum":131178,"residue":526},{"from_index":1489,"to_index":1857,"sum":130493,"residue":575},{"from_index":1857,"to_index":17,"sum":124939,"residue":159}],"minimal_cycle":[208,159,575,526,575,159],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[17,385],"circle_positions":734,"cycle_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":[18,386,754,1122,1490,1858],"clock_positions":[18,386,754,1122,1490,1858],"native_values":[382,719,15,352,15,719],"rotation_degrees":2.9347826086956523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[382,719,15,352,15,719],"beta":{"interval_sums":[138423,138662,144295,130955,130716,124349],"interval_residues":[431,670,431,303,64,303],"display_cycle":[431,670,431,303,64,303],"intervals":[{"from_index":18,"to_index":386,"sum":138423,"residue":431},{"from_index":386,"to_index":754,"sum":138662,"residue":670},{"from_index":754,"to_index":1122,"sum":144295,"residue":431},{"from_index":1122,"to_index":1490,"sum":130955,"residue":303},{"from_index":1490,"to_index":1858,"sum":130716,"residue":64},{"from_index":1858,"to_index":18,"sum":124349,"residue":303}],"minimal_cycle":[431,670,431,303,64,303],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":431,"start_interval_clock_positions":[18,386],"circle_positions":734,"cycle_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":[19,387,755,1123,1491,1859],"clock_positions":[19,387,755,1123,1491,1859],"native_values":[511,590,511,223,144,223],"rotation_degrees":3.097826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[511,590,511,223,144,223],"beta":{"interval_sums":[138631,138087,144136,130747,131291,124508],"interval_residues":[639,95,272,95,639,462],"display_cycle":[639,95,272,95,639,462],"intervals":[{"from_index":19,"to_index":387,"sum":138631,"residue":639},{"from_index":387,"to_index":755,"sum":138087,"residue":95},{"from_index":755,"to_index":1123,"sum":144136,"residue":272},{"from_index":1123,"to_index":1491,"sum":130747,"residue":95},{"from_index":1491,"to_index":1859,"sum":131291,"residue":639},{"from_index":1859,"to_index":19,"sum":124508,"residue":462}],"minimal_cycle":[639,95,272,95,639,462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":639,"start_interval_clock_positions":[19,387],"circle_positions":734,"cycle_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":[20,388,756,1124,1492,1860],"clock_positions":[20,388,756,1124,1492,1860],"native_values":[159,575,526,575,159,208],"rotation_degrees":3.260869565217391,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[159,575,526,575,159,208],"beta":{"interval_sums":[139062,138023,143833,130316,131355,124811],"interval_residues":[336,31,703,398,703,31],"display_cycle":[336,31,703,398,703,31],"intervals":[{"from_index":20,"to_index":388,"sum":139062,"residue":336},{"from_index":388,"to_index":756,"sum":138023,"residue":31},{"from_index":756,"to_index":1124,"sum":143833,"residue":703},{"from_index":1124,"to_index":1492,"sum":130316,"residue":398},{"from_index":1492,"to_index":1860,"sum":131355,"residue":703},{"from_index":1860,"to_index":20,"sum":124811,"residue":31}],"minimal_cycle":[336,31,703,398,703,31],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[20,388],"circle_positions":734,"cycle_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":[21,389,757,1125,1493,1861],"clock_positions":[21,389,757,1125,1493,1861],"native_values":[670,431,303,64,303,431],"rotation_degrees":3.4239130434782608,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[670,431,303,64,303,431],"beta":{"interval_sums":[138967,138118,144105,130411,131260,124539],"interval_residues":[241,126,241,493,608,493],"display_cycle":[241,126,241,493,608,493],"intervals":[{"from_index":21,"to_index":389,"sum":138967,"residue":241},{"from_index":389,"to_index":757,"sum":138118,"residue":126},{"from_index":757,"to_index":1125,"sum":144105,"residue":241},{"from_index":1125,"to_index":1493,"sum":130411,"residue":493},{"from_index":1493,"to_index":1861,"sum":131260,"residue":608},{"from_index":1861,"to_index":21,"sum":124539,"residue":493}],"minimal_cycle":[241,126,241,493,608,493],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":241,"start_interval_clock_positions":[21,389],"circle_positions":734,"cycle_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":[22,390,758,1126,1494,1862],"clock_positions":[22,390,758,1126,1494,1862],"native_values":[95,272,95,639,462,639],"rotation_degrees":3.5869565217391304,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,272,95,639,462,639],"beta":{"interval_sums":[139303,138149,144074,130075,131229,124570],"interval_residues":[577,157,210,157,577,524],"display_cycle":[577,157,210,157,577,524],"intervals":[{"from_index":22,"to_index":390,"sum":139303,"residue":577},{"from_index":390,"to_index":758,"sum":138149,"residue":157},{"from_index":758,"to_index":1126,"sum":144074,"residue":210},{"from_index":1126,"to_index":1494,"sum":130075,"residue":157},{"from_index":1494,"to_index":1862,"sum":131229,"residue":577},{"from_index":1862,"to_index":22,"sum":124570,"residue":524}],"minimal_cycle":[577,157,210,157,577,524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":577,"start_interval_clock_positions":[22,390],"circle_positions":734,"cycle_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":[23,391,759,1127,1495,1863],"clock_positions":[23,391,759,1127,1495,1863],"native_values":[31,703,398,703,31,336],"rotation_degrees":3.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,703,398,703,31,336],"beta":{"interval_sums":[139544,137541,144315,129834,131837,124329],"interval_residues":[84,283,451,650,451,283],"display_cycle":[84,283,451,650,451,283],"intervals":[{"from_index":23,"to_index":391,"sum":139544,"residue":84},{"from_index":391,"to_index":759,"sum":137541,"residue":283},{"from_index":759,"to_index":1127,"sum":144315,"residue":451},{"from_index":1127,"to_index":1495,"sum":129834,"residue":650},{"from_index":1495,"to_index":1863,"sum":131837,"residue":451},{"from_index":1863,"to_index":23,"sum":124329,"residue":283}],"minimal_cycle":[84,283,451,650,451,283],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[23,391],"circle_positions":734,"cycle_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":[24,392,760,1128,1496,1864],"clock_positions":[24,392,760,1128,1496,1864],"native_values":[126,241,493,608,493,241],"rotation_degrees":3.9130434782608696,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[126,241,493,608,493,241],"beta":{"interval_sums":[140121,137698,144525,129257,131680,124119],"interval_residues":[661,440,661,73,294,73],"display_cycle":[661,440,661,73,294,73],"intervals":[{"from_index":24,"to_index":392,"sum":140121,"residue":661},{"from_index":392,"to_index":760,"sum":137698,"residue":440},{"from_index":760,"to_index":1128,"sum":144525,"residue":661},{"from_index":1128,"to_index":1496,"sum":129257,"residue":73},{"from_index":1496,"to_index":1864,"sum":131680,"residue":294},{"from_index":1864,"to_index":24,"sum":124119,"residue":73}],"minimal_cycle":[661,440,661,73,294,73],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":661,"start_interval_clock_positions":[24,392],"circle_positions":734,"cycle_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":[25,393,761,1129,1497,1865],"clock_positions":[25,393,761,1129,1497,1865],"native_values":[157,210,157,577,524,577],"rotation_degrees":4.076086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,210,157,577,524,577],"beta":{"interval_sums":[140205,137981,144976,129173,131397,123668],"interval_residues":[11,723,378,723,11,356],"display_cycle":[11,723,378,723,11,356],"intervals":[{"from_index":25,"to_index":393,"sum":140205,"residue":11},{"from_index":393,"to_index":761,"sum":137981,"residue":723},{"from_index":761,"to_index":1129,"sum":144976,"residue":378},{"from_index":1129,"to_index":1497,"sum":129173,"residue":723},{"from_index":1497,"to_index":1865,"sum":131397,"residue":11},{"from_index":1865,"to_index":25,"sum":123668,"residue":356}],"minimal_cycle":[11,723,378,723,11,356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":11,"start_interval_clock_positions":[25,393],"circle_positions":734,"cycle_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":[26,394,762,1130,1498,1866],"clock_positions":[26,394,762,1130,1498,1866],"native_values":[283,451,650,451,283,84],"rotation_degrees":4.239130434782608,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,451,650,451,283,84],"beta":{"interval_sums":[140132,137687,144903,129246,131691,123741],"interval_residues":[672,429,305,62,305,429],"display_cycle":[672,429,305,62,305,429],"intervals":[{"from_index":26,"to_index":394,"sum":140132,"residue":672},{"from_index":394,"to_index":762,"sum":137687,"residue":429},{"from_index":762,"to_index":1130,"sum":144903,"residue":305},{"from_index":1130,"to_index":1498,"sum":129246,"residue":62},{"from_index":1498,"to_index":1866,"sum":131691,"residue":305},{"from_index":1866,"to_index":26,"sum":123741,"residue":429}],"minimal_cycle":[672,429,305,62,305,429],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":672,"start_interval_clock_positions":[26,394],"circle_positions":734,"cycle_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":[27,395,763,1131,1499,1867],"clock_positions":[27,395,763,1131,1499,1867],"native_values":[440,661,73,294,73,661],"rotation_degrees":4.4021739130434785,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[440,661,73,294,73,661],"beta":{"interval_sums":[140143,137676,145281,129235,131702,123363],"interval_residues":[683,418,683,51,316,51],"display_cycle":[683,418,683,51,316,51],"intervals":[{"from_index":27,"to_index":395,"sum":140143,"residue":683},{"from_index":395,"to_index":763,"sum":137676,"residue":418},{"from_index":763,"to_index":1131,"sum":145281,"residue":683},{"from_index":1131,"to_index":1499,"sum":129235,"residue":51},{"from_index":1499,"to_index":1867,"sum":131702,"residue":316},{"from_index":1867,"to_index":27,"sum":123363,"residue":51}],"minimal_cycle":[683,418,683,51,316,51],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":683,"start_interval_clock_positions":[27,395],"circle_positions":734,"cycle_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":[28,396,764,1132,1500,1868],"clock_positions":[28,396,764,1132,1500,1868],"native_values":[723,378,723,11,356,11],"rotation_degrees":4.565217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[723,378,723,11,356,11],"beta":{"interval_sums":[140081,137371,144852,129297,132007,123792],"interval_residues":[621,113,254,113,621,480],"display_cycle":[621,113,254,113,621,480],"intervals":[{"from_index":28,"to_index":396,"sum":140081,"residue":621},{"from_index":396,"to_index":764,"sum":137371,"residue":113},{"from_index":764,"to_index":1132,"sum":144852,"residue":254},{"from_index":1132,"to_index":1500,"sum":129297,"residue":113},{"from_index":1500,"to_index":1868,"sum":132007,"residue":621},{"from_index":1868,"to_index":28,"sum":123792,"residue":480}],"minimal_cycle":[621,113,254,113,621,480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":621,"start_interval_clock_positions":[28,396],"circle_positions":734,"cycle_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":[29,397,765,1133,1501,1869],"clock_positions":[29,397,765,1133,1501,1869],"native_values":[429,305,62,305,429,672],"rotation_degrees":4.728260869565218,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,305,62,305,429,672],"beta":{"interval_sums":[140030,137789,144801,129348,131589,123843],"interval_residues":[570,531,203,164,203,531],"display_cycle":[570,531,203,164,203,531],"intervals":[{"from_index":29,"to_index":397,"sum":140030,"residue":570},{"from_index":397,"to_index":765,"sum":137789,"residue":531},{"from_index":765,"to_index":1133,"sum":144801,"residue":203},{"from_index":1133,"to_index":1501,"sum":129348,"residue":164},{"from_index":1501,"to_index":1869,"sum":131589,"residue":203},{"from_index":1869,"to_index":29,"sum":123843,"residue":531}],"minimal_cycle":[570,531,203,164,203,531],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[29,397],"circle_positions":734,"cycle_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":[30,398,766,1134,1502,1870],"clock_positions":[30,398,766,1134,1502,1870],"native_values":[418,683,51,316,51,683],"rotation_degrees":4.891304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[418,683,51,316,51,683],"beta":{"interval_sums":[139917,137168,145055,129461,132210,123589],"interval_residues":[457,644,457,277,90,277],"display_cycle":[457,644,457,277,90,277],"intervals":[{"from_index":30,"to_index":398,"sum":139917,"residue":457},{"from_index":398,"to_index":766,"sum":137168,"residue":644},{"from_index":766,"to_index":1134,"sum":145055,"residue":457},{"from_index":1134,"to_index":1502,"sum":129461,"residue":277},{"from_index":1502,"to_index":1870,"sum":132210,"residue":90},{"from_index":1870,"to_index":30,"sum":123589,"residue":277}],"minimal_cycle":[457,644,457,277,90,277],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":457,"start_interval_clock_positions":[30,398],"circle_positions":734,"cycle_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":[31,399,767,1135,1503,1871],"clock_positions":[31,399,767,1135,1503,1871],"native_values":[113,254,113,621,480,621],"rotation_degrees":5.054347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[113,254,113,621,480,621],"beta":{"interval_sums":[140487,136965,145258,128891,132413,123386],"interval_residues":[293,441,660,441,293,74],"display_cycle":[293,441,660,441,293,74],"intervals":[{"from_index":31,"to_index":399,"sum":140487,"residue":293},{"from_index":399,"to_index":767,"sum":136965,"residue":441},{"from_index":767,"to_index":1135,"sum":145258,"residue":660},{"from_index":1135,"to_index":1503,"sum":128891,"residue":441},{"from_index":1503,"to_index":1871,"sum":132413,"residue":293},{"from_index":1871,"to_index":31,"sum":123386,"residue":74}],"minimal_cycle":[293,441,660,441,293,74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":293,"start_interval_clock_positions":[31,399],"circle_positions":734,"cycle_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":[32,400,768,1136,1504,1872],"clock_positions":[32,400,768,1136,1504,1872],"native_values":[531,203,164,203,531,570],"rotation_degrees":5.217391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[531,203,164,203,531,570],"beta":{"interval_sums":[140210,136875,145715,129168,132503,122929],"interval_residues":[16,351,383,718,383,351],"display_cycle":[16,351,383,718,383,351],"intervals":[{"from_index":32,"to_index":400,"sum":140210,"residue":16},{"from_index":400,"to_index":768,"sum":136875,"residue":351},{"from_index":768,"to_index":1136,"sum":145715,"residue":383},{"from_index":1136,"to_index":1504,"sum":129168,"residue":718},{"from_index":1504,"to_index":1872,"sum":132503,"residue":383},{"from_index":1872,"to_index":32,"sum":122929,"residue":351}],"minimal_cycle":[16,351,383,718,383,351],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[32,400],"circle_positions":734,"cycle_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":[33,401,769,1137,1505,1873],"clock_positions":[33,401,769,1137,1505,1873],"native_values":[644,457,277,90,277,457],"rotation_degrees":5.380434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[644,457,277,90,277,457],"beta":{"interval_sums":[139769,136582,145641,129609,132796,123003],"interval_residues":[309,58,309,425,676,425],"display_cycle":[309,58,309,425,676,425],"intervals":[{"from_index":33,"to_index":401,"sum":139769,"residue":309},{"from_index":401,"to_index":769,"sum":136582,"residue":58},{"from_index":769,"to_index":1137,"sum":145641,"residue":309},{"from_index":1137,"to_index":1505,"sum":129609,"residue":425},{"from_index":1505,"to_index":1873,"sum":132796,"residue":676},{"from_index":1873,"to_index":33,"sum":123003,"residue":425}],"minimal_cycle":[309,58,309,425,676,425],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":309,"start_interval_clock_positions":[33,401],"circle_positions":734,"cycle_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":[34,402,770,1138,1506,1874],"clock_positions":[34,402,770,1138,1506,1874],"native_values":[441,660,441,293,74,293],"rotation_degrees":5.543478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,660,441,293,74,293],"beta":{"interval_sums":[139785,136199,145290,129593,133179,123354],"interval_residues":[325,409,692,409,325,42],"display_cycle":[325,409,692,409,325,42],"intervals":[{"from_index":34,"to_index":402,"sum":139785,"residue":325},{"from_index":402,"to_index":770,"sum":136199,"residue":409},{"from_index":770,"to_index":1138,"sum":145290,"residue":692},{"from_index":1138,"to_index":1506,"sum":129593,"residue":409},{"from_index":1506,"to_index":1874,"sum":133179,"residue":325},{"from_index":1874,"to_index":34,"sum":123354,"residue":42}],"minimal_cycle":[325,409,692,409,325,42],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":325,"start_interval_clock_positions":[34,402],"circle_positions":734,"cycle_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":[35,403,771,1139,1507,1875],"clock_positions":[35,403,771,1139,1507,1875],"native_values":[351,383,718,383,351,16],"rotation_degrees":5.706521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,383,718,383,351,16],"beta":{"interval_sums":[140094,136257,144865,129284,133121,123779],"interval_residues":[634,467,267,100,267,467],"display_cycle":[634,467,267,100,267,467],"intervals":[{"from_index":35,"to_index":403,"sum":140094,"residue":634},{"from_index":403,"to_index":771,"sum":136257,"residue":467},{"from_index":771,"to_index":1139,"sum":144865,"residue":267},{"from_index":1139,"to_index":1507,"sum":129284,"residue":100},{"from_index":1507,"to_index":1875,"sum":133121,"residue":267},{"from_index":1875,"to_index":35,"sum":123779,"residue":467}],"minimal_cycle":[634,467,267,100,267,467],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":634,"start_interval_clock_positions":[35,403],"circle_positions":734,"cycle_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":[36,404,772,1140,1508,1876],"clock_positions":[36,404,772,1140,1508,1876],"native_values":[58,309,425,676,425,309],"rotation_degrees":5.869565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[58,309,425,676,425,309],"beta":{"interval_sums":[140419,136666,144823,128959,132712,123821],"interval_residues":[225,142,225,509,592,509],"display_cycle":[225,142,225,509,592,509],"intervals":[{"from_index":36,"to_index":404,"sum":140419,"residue":225},{"from_index":404,"to_index":772,"sum":136666,"residue":142},{"from_index":772,"to_index":1140,"sum":144823,"residue":225},{"from_index":1140,"to_index":1508,"sum":128959,"residue":509},{"from_index":1508,"to_index":1876,"sum":132712,"residue":592},{"from_index":1876,"to_index":36,"sum":123821,"residue":509}],"minimal_cycle":[225,142,225,509,592,509],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":225,"start_interval_clock_positions":[36,404],"circle_positions":734,"cycle_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":[37,405,773,1141,1509,1877],"clock_positions":[37,405,773,1141,1509,1877],"native_values":[409,692,409,325,42,325],"rotation_degrees":6.032608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,692,409,325,42,325],"beta":{"interval_sums":[140319,136399,145090,129059,132979,123554],"interval_residues":[125,609,492,609,125,242],"display_cycle":[125,609,492,609,125,242],"intervals":[{"from_index":37,"to_index":405,"sum":140319,"residue":125},{"from_index":405,"to_index":773,"sum":136399,"residue":609},{"from_index":773,"to_index":1141,"sum":145090,"residue":492},{"from_index":1141,"to_index":1509,"sum":129059,"residue":609},{"from_index":1509,"to_index":1877,"sum":132979,"residue":125},{"from_index":1877,"to_index":37,"sum":123554,"residue":242}],"minimal_cycle":[125,609,492,609,125,242],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":125,"start_interval_clock_positions":[37,405],"circle_positions":734,"cycle_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":[38,406,774,1142,1510,1878],"clock_positions":[38,406,774,1142,1510,1878],"native_values":[467,267,100,267,467,634],"rotation_degrees":6.195652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[467,267,100,267,467,634],"beta":{"interval_sums":[140544,136541,145315,128834,132837,123329],"interval_residues":[350,17,717,384,717,17],"display_cycle":[350,17,717,384,717,17],"intervals":[{"from_index":38,"to_index":406,"sum":140544,"residue":350},{"from_index":406,"to_index":774,"sum":136541,"residue":17},{"from_index":774,"to_index":1142,"sum":145315,"residue":717},{"from_index":1142,"to_index":1510,"sum":128834,"residue":384},{"from_index":1510,"to_index":1878,"sum":132837,"residue":717},{"from_index":1878,"to_index":38,"sum":123329,"residue":17}],"minimal_cycle":[350,17,717,384,717,17],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[38,406],"circle_positions":734,"cycle_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":[39,407,775,1143,1511,1879],"clock_positions":[39,407,775,1143,1511,1879],"native_values":[142,225,509,592,509,225],"rotation_degrees":6.358695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[142,225,509,592,509,225],"beta":{"interval_sums":[140669,136416,145073,128709,132962,123571],"interval_residues":[475,626,475,259,108,259],"display_cycle":[475,626,475,259,108,259],"intervals":[{"from_index":39,"to_index":407,"sum":140669,"residue":475},{"from_index":407,"to_index":775,"sum":136416,"residue":626},{"from_index":775,"to_index":1143,"sum":145073,"residue":475},{"from_index":1143,"to_index":1511,"sum":128709,"residue":259},{"from_index":1511,"to_index":1879,"sum":132962,"residue":108},{"from_index":1879,"to_index":39,"sum":123571,"residue":259}],"minimal_cycle":[475,626,475,259,108,259],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":475,"start_interval_clock_positions":[39,407],"circle_positions":734,"cycle_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":[40,408,776,1144,1512,1880],"clock_positions":[40,408,776,1144,1512,1880],"native_values":[609,492,609,125,242,125],"rotation_degrees":6.521739130434782,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[609,492,609,125,242,125],"beta":{"interval_sums":[140285,136433,145056,129093,132945,123588],"interval_residues":[91,643,458,643,91,276],"display_cycle":[91,643,458,643,91,276],"intervals":[{"from_index":40,"to_index":408,"sum":140285,"residue":91},{"from_index":408,"to_index":776,"sum":136433,"residue":643},{"from_index":776,"to_index":1144,"sum":145056,"residue":458},{"from_index":1144,"to_index":1512,"sum":129093,"residue":643},{"from_index":1512,"to_index":1880,"sum":132945,"residue":91},{"from_index":1880,"to_index":40,"sum":123588,"residue":276}],"minimal_cycle":[91,643,458,643,91,276],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":91,"start_interval_clock_positions":[40,408],"circle_positions":734,"cycle_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":[41,409,777,1145,1513,1881],"clock_positions":[41,409,777,1145,1513,1881],"native_values":[17,717,384,717,17,350],"rotation_degrees":6.684782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,717,384,717,17,350],"beta":{"interval_sums":[140760,136325,144797,128618,133053,123847],"interval_residues":[566,535,199,168,199,535],"display_cycle":[566,535,199,168,199,535],"intervals":[{"from_index":41,"to_index":409,"sum":140760,"residue":566},{"from_index":409,"to_index":777,"sum":136325,"residue":535},{"from_index":777,"to_index":1145,"sum":144797,"residue":199},{"from_index":1145,"to_index":1513,"sum":128618,"residue":168},{"from_index":1513,"to_index":1881,"sum":133053,"residue":199},{"from_index":1881,"to_index":41,"sum":123847,"residue":535}],"minimal_cycle":[566,535,199,168,199,535],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":566,"start_interval_clock_positions":[41,409],"circle_positions":734,"cycle_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":[42,410,778,1146,1514,1882],"clock_positions":[42,410,778,1146,1514,1882],"native_values":[626,475,259,108,259,475],"rotation_degrees":6.8478260869565215,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[626,475,259,108,259,475],"beta":{"interval_sums":[140851,136234,145255,128527,133144,123389],"interval_residues":[657,444,657,77,290,77],"display_cycle":[657,444,657,77,290,77],"intervals":[{"from_index":42,"to_index":410,"sum":140851,"residue":657},{"from_index":410,"to_index":778,"sum":136234,"residue":444},{"from_index":778,"to_index":1146,"sum":145255,"residue":657},{"from_index":1146,"to_index":1514,"sum":128527,"residue":77},{"from_index":1514,"to_index":1882,"sum":133144,"residue":290},{"from_index":1882,"to_index":42,"sum":123389,"residue":77}],"minimal_cycle":[657,444,657,77,290,77],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":657,"start_interval_clock_positions":[42,410],"circle_positions":734,"cycle_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":[43,411,779,1147,1515,1883],"clock_positions":[43,411,779,1147,1515,1883],"native_values":[643,458,643,91,276,91],"rotation_degrees":7.010869565217392,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[643,458,643,91,276,91],"beta":{"interval_sums":[140683,136035,144720,128695,133343,123924],"interval_residues":[489,245,122,245,489,612],"display_cycle":[489,245,122,245,489,612],"intervals":[{"from_index":43,"to_index":411,"sum":140683,"residue":489},{"from_index":411,"to_index":779,"sum":136035,"residue":245},{"from_index":779,"to_index":1147,"sum":144720,"residue":122},{"from_index":1147,"to_index":1515,"sum":128695,"residue":245},{"from_index":1515,"to_index":1883,"sum":133343,"residue":489},{"from_index":1883,"to_index":43,"sum":123924,"residue":612}],"minimal_cycle":[489,245,122,245,489,612],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":489,"start_interval_clock_positions":[43,411],"circle_positions":734,"cycle_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":[44,412,780,1148,1516,1884],"clock_positions":[44,412,780,1148,1516,1884],"native_values":[535,199,168,199,535,566],"rotation_degrees":7.173913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[535,199,168,199,535,566],"beta":{"interval_sums":[140606,136479,144643,128772,132899,124001],"interval_residues":[412,689,45,322,45,689],"display_cycle":[412,689,45,322,45,689],"intervals":[{"from_index":44,"to_index":412,"sum":140606,"residue":412},{"from_index":412,"to_index":780,"sum":136479,"residue":689},{"from_index":780,"to_index":1148,"sum":144643,"residue":45},{"from_index":1148,"to_index":1516,"sum":128772,"residue":322},{"from_index":1516,"to_index":1884,"sum":132899,"residue":45},{"from_index":1884,"to_index":44,"sum":124001,"residue":689}],"minimal_cycle":[412,689,45,322,45,689],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[44,412],"circle_positions":734,"cycle_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":[45,413,781,1149,1517,1885],"clock_positions":[45,413,781,1149,1517,1885],"native_values":[444,657,77,290,77,657],"rotation_degrees":7.336956521739131,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[444,657,77,290,77,657],"beta":{"interval_sums":[140361,135990,144765,129017,133388,123879],"interval_residues":[167,200,167,567,534,567],"display_cycle":[167,200,167,567,534,567],"intervals":[{"from_index":45,"to_index":413,"sum":140361,"residue":167},{"from_index":413,"to_index":781,"sum":135990,"residue":200},{"from_index":781,"to_index":1149,"sum":144765,"residue":167},{"from_index":1149,"to_index":1517,"sum":129017,"residue":567},{"from_index":1517,"to_index":1885,"sum":133388,"residue":534},{"from_index":1885,"to_index":45,"sum":123879,"residue":567}],"minimal_cycle":[167,200,167,567,534,567],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":167,"start_interval_clock_positions":[45,413],"circle_positions":734,"cycle_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":[46,414,782,1150,1518,1886],"clock_positions":[46,414,782,1150,1518,1886],"native_values":[245,122,245,489,612,489],"rotation_degrees":7.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[245,122,245,489,612,489],"beta":{"interval_sums":[140773,135945,144810,128605,133433,123834],"interval_residues":[579,155,212,155,579,522],"display_cycle":[579,155,212,155,579,522],"intervals":[{"from_index":46,"to_index":414,"sum":140773,"residue":579},{"from_index":414,"to_index":782,"sum":135945,"residue":155},{"from_index":782,"to_index":1150,"sum":144810,"residue":212},{"from_index":1150,"to_index":1518,"sum":128605,"residue":155},{"from_index":1518,"to_index":1886,"sum":133433,"residue":579},{"from_index":1886,"to_index":46,"sum":123834,"residue":522}],"minimal_cycle":[579,155,212,155,579,522],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":579,"start_interval_clock_positions":[46,414],"circle_positions":734,"cycle_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":[47,415,783,1151,1519,1887],"clock_positions":[47,415,783,1151,1519,1887],"native_values":[689,45,322,45,689,412],"rotation_degrees":7.663043478260869,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[689,45,322,45,689,412],"beta":{"interval_sums":[140206,136145,144977,129172,133233,123667],"interval_residues":[12,355,379,722,379,355],"display_cycle":[12,355,379,722,379,355],"intervals":[{"from_index":47,"to_index":415,"sum":140206,"residue":12},{"from_index":415,"to_index":783,"sum":136145,"residue":355},{"from_index":783,"to_index":1151,"sum":144977,"residue":379},{"from_index":1151,"to_index":1519,"sum":129172,"residue":722},{"from_index":1519,"to_index":1887,"sum":133233,"residue":379},{"from_index":1887,"to_index":47,"sum":123667,"residue":355}],"minimal_cycle":[12,355,379,722,379,355],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":12,"start_interval_clock_positions":[47,415],"circle_positions":734,"cycle_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":[48,416,784,1152,1520,1888],"clock_positions":[48,416,784,1152,1520,1888],"native_values":[200,167,567,534,567,167],"rotation_degrees":7.826086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,167,567,534,567,167],"beta":{"interval_sums":[140051,136300,144455,129327,133078,124189],"interval_residues":[591,510,591,143,224,143],"display_cycle":[591,510,591,143,224,143],"intervals":[{"from_index":48,"to_index":416,"sum":140051,"residue":591},{"from_index":416,"to_index":784,"sum":136300,"residue":510},{"from_index":784,"to_index":1152,"sum":144455,"residue":591},{"from_index":1152,"to_index":1520,"sum":129327,"residue":143},{"from_index":1520,"to_index":1888,"sum":133078,"residue":224},{"from_index":1888,"to_index":48,"sum":124189,"residue":143}],"minimal_cycle":[591,510,591,143,224,143],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":591,"start_interval_clock_positions":[48,416],"circle_positions":734,"cycle_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":[49,417,785,1153,1521,1889],"clock_positions":[49,417,785,1153,1521,1889],"native_values":[155,212,155,579,522,579],"rotation_degrees":7.989130434782608,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,212,155,579,522,579],"beta":{"interval_sums":[140063,136655,144834,129315,132723,123810],"interval_residues":[603,131,236,131,603,498],"display_cycle":[603,131,236,131,603,498],"intervals":[{"from_index":49,"to_index":417,"sum":140063,"residue":603},{"from_index":417,"to_index":785,"sum":136655,"residue":131},{"from_index":785,"to_index":1153,"sum":144834,"residue":236},{"from_index":1153,"to_index":1521,"sum":129315,"residue":131},{"from_index":1521,"to_index":1889,"sum":132723,"residue":603},{"from_index":1889,"to_index":49,"sum":123810,"residue":498}],"minimal_cycle":[603,131,236,131,603,498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":603,"start_interval_clock_positions":[49,417],"circle_positions":734,"cycle_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":[50,418,786,1154,1522,1890],"clock_positions":[50,418,786,1154,1522,1890],"native_values":[355,379,722,379,355,12],"rotation_degrees":8.152173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,379,722,379,355,12],"beta":{"interval_sums":[139920,136431,144691,129458,132947,123953],"interval_residues":[460,641,93,274,93,641],"display_cycle":[460,641,93,274,93,641],"intervals":[{"from_index":50,"to_index":418,"sum":139920,"residue":460},{"from_index":418,"to_index":786,"sum":136431,"residue":641},{"from_index":786,"to_index":1154,"sum":144691,"residue":93},{"from_index":1154,"to_index":1522,"sum":129458,"residue":274},{"from_index":1522,"to_index":1890,"sum":132947,"residue":93},{"from_index":1890,"to_index":50,"sum":123953,"residue":641}],"minimal_cycle":[460,641,93,274,93,641],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":460,"start_interval_clock_positions":[50,418],"circle_positions":734,"cycle_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":[51,419,787,1155,1523,1891],"clock_positions":[51,419,787,1155,1523,1891],"native_values":[510,591,143,224,143,591],"rotation_degrees":8.315217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[510,591,143,224,143,591],"beta":{"interval_sums":[139789,136562,144927,129589,132816,123717],"interval_residues":[329,38,329,405,696,405],"display_cycle":[329,38,329,405,696,405],"intervals":[{"from_index":51,"to_index":419,"sum":139789,"residue":329},{"from_index":419,"to_index":787,"sum":136562,"residue":38},{"from_index":787,"to_index":1155,"sum":144927,"residue":329},{"from_index":1155,"to_index":1523,"sum":129589,"residue":405},{"from_index":1523,"to_index":1891,"sum":132816,"residue":696},{"from_index":1891,"to_index":51,"sum":123717,"residue":405}],"minimal_cycle":[329,38,329,405,696,405],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":329,"start_interval_clock_positions":[51,419],"circle_positions":734,"cycle_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":[52,420,788,1156,1524,1892],"clock_positions":[52,420,788,1156,1524,1892],"native_values":[131,236,131,603,498,603],"rotation_degrees":8.478260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,236,131,603,498,603],"beta":{"interval_sums":[140249,136469,145020,129129,132909,123624],"interval_residues":[55,679,422,679,55,312],"display_cycle":[55,679,422,679,55,312],"intervals":[{"from_index":52,"to_index":420,"sum":140249,"residue":55},{"from_index":420,"to_index":788,"sum":136469,"residue":679},{"from_index":788,"to_index":1156,"sum":145020,"residue":422},{"from_index":1156,"to_index":1524,"sum":129129,"residue":679},{"from_index":1524,"to_index":1892,"sum":132909,"residue":55},{"from_index":1892,"to_index":52,"sum":123624,"residue":312}],"minimal_cycle":[55,679,422,679,55,312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":55,"start_interval_clock_positions":[52,420],"circle_positions":734,"cycle_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":[53,421,789,1157,1525,1893],"clock_positions":[53,421,789,1157,1525,1893],"native_values":[641,93,274,93,641,460],"rotation_degrees":8.641304347826088,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,93,274,93,641,460],"beta":{"interval_sums":[139844,136507,145349,129534,132871,123295],"interval_residues":[384,717,17,350,17,717],"display_cycle":[384,717,17,350,17,717],"intervals":[{"from_index":53,"to_index":421,"sum":139844,"residue":384},{"from_index":421,"to_index":789,"sum":136507,"residue":717},{"from_index":789,"to_index":1157,"sum":145349,"residue":17},{"from_index":1157,"to_index":1525,"sum":129534,"residue":350},{"from_index":1525,"to_index":1893,"sum":132871,"residue":17},{"from_index":1893,"to_index":53,"sum":123295,"residue":717}],"minimal_cycle":[384,717,17,350,17,717],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[53,421],"circle_positions":734,"cycle_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":[54,422,790,1158,1526,1894],"clock_positions":[54,422,790,1158,1526,1894],"native_values":[38,329,405,696,405,329],"rotation_degrees":8.804347826086957,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[38,329,405,696,405,329],"beta":{"interval_sums":[139899,136452,145037,129479,132926,123607],"interval_residues":[439,662,439,295,72,295],"display_cycle":[439,662,439,295,72,295],"intervals":[{"from_index":54,"to_index":422,"sum":139899,"residue":439},{"from_index":422,"to_index":790,"sum":136452,"residue":662},{"from_index":790,"to_index":1158,"sum":145037,"residue":439},{"from_index":1158,"to_index":1526,"sum":129479,"residue":295},{"from_index":1526,"to_index":1894,"sum":132926,"residue":72},{"from_index":1894,"to_index":54,"sum":123607,"residue":295}],"minimal_cycle":[439,662,439,295,72,295],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":439,"start_interval_clock_positions":[54,422],"circle_positions":734,"cycle_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":[55,423,791,1159,1527,1895],"clock_positions":[55,423,791,1159,1527,1895],"native_values":[679,422,679,55,312,55],"rotation_degrees":8.967391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[679,422,679,55,312,55],"beta":{"interval_sums":[139549,136435,145054,129829,132943,123590],"interval_residues":[89,645,456,645,89,278],"display_cycle":[89,645,456,645,89,278],"intervals":[{"from_index":55,"to_index":423,"sum":139549,"residue":89},{"from_index":423,"to_index":791,"sum":136435,"residue":645},{"from_index":791,"to_index":1159,"sum":145054,"residue":456},{"from_index":1159,"to_index":1527,"sum":129829,"residue":645},{"from_index":1527,"to_index":1895,"sum":132943,"residue":89},{"from_index":1895,"to_index":55,"sum":123590,"residue":278}],"minimal_cycle":[89,645,456,645,89,278],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[55,423],"circle_positions":734,"cycle_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":[56,424,792,1160,1528,1896],"clock_positions":[56,424,792,1160,1528,1896],"native_values":[717,17,350,17,717,384],"rotation_degrees":9.130434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[717,17,350,17,717,384],"beta":{"interval_sums":[139254,137097,144759,130124,132281,123885],"interval_residues":[528,573,161,206,161,573],"display_cycle":[528,573,161,206,161,573],"intervals":[{"from_index":56,"to_index":424,"sum":139254,"residue":528},{"from_index":424,"to_index":792,"sum":137097,"residue":573},{"from_index":792,"to_index":1160,"sum":144759,"residue":161},{"from_index":1160,"to_index":1528,"sum":130124,"residue":206},{"from_index":1528,"to_index":1896,"sum":132281,"residue":161},{"from_index":1896,"to_index":56,"sum":123885,"residue":573}],"minimal_cycle":[528,573,161,206,161,573],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":528,"start_interval_clock_positions":[56,424],"circle_positions":734,"cycle_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":[57,425,793,1161,1529,1897],"clock_positions":[57,425,793,1161,1529,1897],"native_values":[662,439,295,72,295,439],"rotation_degrees":9.293478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[662,439,295,72,295,439],"beta":{"interval_sums":[138609,137008,144481,130769,132370,124163],"interval_residues":[617,484,617,117,250,117],"display_cycle":[617,484,617,117,250,117],"intervals":[{"from_index":57,"to_index":425,"sum":138609,"residue":617},{"from_index":425,"to_index":793,"sum":137008,"residue":484},{"from_index":793,"to_index":1161,"sum":144481,"residue":617},{"from_index":1161,"to_index":1529,"sum":130769,"residue":117},{"from_index":1529,"to_index":1897,"sum":132370,"residue":250},{"from_index":1897,"to_index":57,"sum":124163,"residue":117}],"minimal_cycle":[617,484,617,117,250,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":617,"start_interval_clock_positions":[57,425],"circle_positions":734,"cycle_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":[58,426,794,1162,1530,1898],"clock_positions":[58,426,794,1162,1530,1898],"native_values":[645,456,645,89,278,89],"rotation_degrees":9.456521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[645,456,645,89,278,89],"beta":{"interval_sums":[138403,136847,143908,130975,132531,124736],"interval_residues":[411,323,44,323,411,690],"display_cycle":[411,323,44,323,411,690],"intervals":[{"from_index":58,"to_index":426,"sum":138403,"residue":411},{"from_index":426,"to_index":794,"sum":136847,"residue":323},{"from_index":794,"to_index":1162,"sum":143908,"residue":44},{"from_index":1162,"to_index":1530,"sum":130975,"residue":323},{"from_index":1530,"to_index":1898,"sum":132531,"residue":411},{"from_index":1898,"to_index":58,"sum":124736,"residue":690}],"minimal_cycle":[411,323,44,323,411,690],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":411,"start_interval_clock_positions":[58,426],"circle_positions":734,"cycle_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":[59,427,795,1163,1531,1899],"clock_positions":[59,427,795,1163,1531,1899],"native_values":[573,161,206,161,573,528],"rotation_degrees":9.619565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,161,206,161,573,528],"beta":{"interval_sums":[138286,137331,143791,131092,132047,124853],"interval_residues":[294,73,661,440,661,73],"display_cycle":[294,73,661,440,661,73],"intervals":[{"from_index":59,"to_index":427,"sum":138286,"residue":294},{"from_index":427,"to_index":795,"sum":137331,"residue":73},{"from_index":795,"to_index":1163,"sum":143791,"residue":661},{"from_index":1163,"to_index":1531,"sum":131092,"residue":440},{"from_index":1531,"to_index":1899,"sum":132047,"residue":661},{"from_index":1899,"to_index":59,"sum":124853,"residue":73}],"minimal_cycle":[294,73,661,440,661,73],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[59,427],"circle_positions":734,"cycle_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":[60,428,796,1164,1532,1900],"clock_positions":[60,428,796,1164,1532,1900],"native_values":[484,617,117,250,117,617],"rotation_degrees":9.782608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[484,617,117,250,117,617],"beta":{"interval_sums":[137963,136920,143835,131415,132458,124809],"interval_residues":[705,396,705,29,338,29],"display_cycle":[705,396,705,29,338,29],"intervals":[{"from_index":60,"to_index":428,"sum":137963,"residue":705},{"from_index":428,"to_index":796,"sum":136920,"residue":396},{"from_index":796,"to_index":1164,"sum":143835,"residue":705},{"from_index":1164,"to_index":1532,"sum":131415,"residue":29},{"from_index":1532,"to_index":1900,"sum":132458,"residue":338},{"from_index":1900,"to_index":60,"sum":124809,"residue":29}],"minimal_cycle":[705,396,705,29,338,29],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":705,"start_interval_clock_positions":[60,428],"circle_positions":734,"cycle_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":[61,429,797,1165,1533,1901],"clock_positions":[61,429,797,1165,1533,1901],"native_values":[323,44,323,411,690,411],"rotation_degrees":9.945652173913043,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,44,323,411,690,411],"beta":{"interval_sums":[138257,136993,143762,131121,132385,124882],"interval_residues":[265,469,632,469,265,102],"display_cycle":[265,469,632,469,265,102],"intervals":[{"from_index":61,"to_index":429,"sum":138257,"residue":265},{"from_index":429,"to_index":797,"sum":136993,"residue":469},{"from_index":797,"to_index":1165,"sum":143762,"residue":632},{"from_index":1165,"to_index":1533,"sum":131121,"residue":469},{"from_index":1533,"to_index":1901,"sum":132385,"residue":265},{"from_index":1901,"to_index":61,"sum":124882,"residue":102}],"minimal_cycle":[265,469,632,469,265,102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[61,429],"circle_positions":734,"cycle_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":[62,430,798,1166,1534,1902],"clock_positions":[62,430,798,1166,1534,1902],"native_values":[73,661,440,661,73,294],"rotation_degrees":10.108695652173912,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,661,440,661,73,294],"beta":{"interval_sums":[138228,136655,143733,131150,132723,124911],"interval_residues":[236,131,603,498,603,131],"display_cycle":[236,131,603,498,603,131],"intervals":[{"from_index":62,"to_index":430,"sum":138228,"residue":236},{"from_index":430,"to_index":798,"sum":136655,"residue":131},{"from_index":798,"to_index":1166,"sum":143733,"residue":603},{"from_index":1166,"to_index":1534,"sum":131150,"residue":498},{"from_index":1534,"to_index":1902,"sum":132723,"residue":603},{"from_index":1902,"to_index":62,"sum":124911,"residue":131}],"minimal_cycle":[236,131,603,498,603,131],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[62,430],"circle_positions":734,"cycle_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":[63,431,799,1167,1535,1903],"clock_positions":[63,431,799,1167,1535,1903],"native_values":[396,705,29,338,29,705],"rotation_degrees":10.271739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[396,705,29,338,29,705],"beta":{"interval_sums":[138493,136390,144365,130885,132988,124279],"interval_residues":[501,600,501,233,134,233],"display_cycle":[501,600,501,233,134,233],"intervals":[{"from_index":63,"to_index":431,"sum":138493,"residue":501},{"from_index":431,"to_index":799,"sum":136390,"residue":600},{"from_index":799,"to_index":1167,"sum":144365,"residue":501},{"from_index":1167,"to_index":1535,"sum":130885,"residue":233},{"from_index":1535,"to_index":1903,"sum":132988,"residue":134},{"from_index":1903,"to_index":63,"sum":124279,"residue":233}],"minimal_cycle":[501,600,501,233,134,233],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":501,"start_interval_clock_positions":[63,431],"circle_positions":734,"cycle_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":[64,432,800,1168,1536,1904],"clock_positions":[64,432,800,1168,1536,1904],"native_values":[469,632,469,265,102,265],"rotation_degrees":10.434782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,632,469,265,102,265],"beta":{"interval_sums":[138729,135787,144234,130649,133591,124410],"interval_residues":[3,731,370,731,3,364],"display_cycle":[3,731,370,731,3,364],"intervals":[{"from_index":64,"to_index":432,"sum":138729,"residue":3},{"from_index":432,"to_index":800,"sum":135787,"residue":731},{"from_index":800,"to_index":1168,"sum":144234,"residue":370},{"from_index":1168,"to_index":1536,"sum":130649,"residue":731},{"from_index":1536,"to_index":1904,"sum":133591,"residue":3},{"from_index":1904,"to_index":64,"sum":124410,"residue":364}],"minimal_cycle":[3,731,370,731,3,364],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":3,"start_interval_clock_positions":[64,432],"circle_positions":734,"cycle_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":[65,433,801,1169,1537,1905],"clock_positions":[65,433,801,1169,1537,1905],"native_values":[131,603,498,603,131,236],"rotation_degrees":10.597826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,603,498,603,131,236],"beta":{"interval_sums":[139230,135653,144001,130148,133725,124643],"interval_residues":[504,597,137,230,137,597],"display_cycle":[504,597,137,230,137,597],"intervals":[{"from_index":65,"to_index":433,"sum":139230,"residue":504},{"from_index":433,"to_index":801,"sum":135653,"residue":597},{"from_index":801,"to_index":1169,"sum":144001,"residue":137},{"from_index":1169,"to_index":1537,"sum":130148,"residue":230},{"from_index":1537,"to_index":1905,"sum":133725,"residue":137},{"from_index":1905,"to_index":65,"sum":124643,"residue":597}],"minimal_cycle":[504,597,137,230,137,597],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":504,"start_interval_clock_positions":[65,433],"circle_positions":734,"cycle_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":[66,434,802,1170,1538,1906],"clock_positions":[66,434,802,1170,1538,1906],"native_values":[600,501,233,134,233,501],"rotation_degrees":10.76086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[600,501,233,134,233,501],"beta":{"interval_sums":[139233,135650,144371,130145,133728,124273],"interval_residues":[507,594,507,227,140,227],"display_cycle":[507,594,507,227,140,227],"intervals":[{"from_index":66,"to_index":434,"sum":139233,"residue":507},{"from_index":434,"to_index":802,"sum":135650,"residue":594},{"from_index":802,"to_index":1170,"sum":144371,"residue":507},{"from_index":1170,"to_index":1538,"sum":130145,"residue":227},{"from_index":1538,"to_index":1906,"sum":133728,"residue":140},{"from_index":1906,"to_index":66,"sum":124273,"residue":227}],"minimal_cycle":[507,594,507,227,140,227],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":507,"start_interval_clock_positions":[66,434],"circle_positions":734,"cycle_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":[67,435,803,1171,1539,1907],"clock_positions":[67,435,803,1171,1539,1907],"native_values":[731,370,731,3,364,3],"rotation_degrees":10.923913043478262,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[731,370,731,3,364,3],"beta":{"interval_sums":[139003,135513,143774,130375,133865,124870],"interval_residues":[277,457,644,457,277,90],"display_cycle":[277,457,644,457,277,90],"intervals":[{"from_index":67,"to_index":435,"sum":139003,"residue":277},{"from_index":435,"to_index":803,"sum":135513,"residue":457},{"from_index":803,"to_index":1171,"sum":143774,"residue":644},{"from_index":1171,"to_index":1539,"sum":130375,"residue":457},{"from_index":1539,"to_index":1907,"sum":133865,"residue":277},{"from_index":1907,"to_index":67,"sum":124870,"residue":90}],"minimal_cycle":[277,457,644,457,277,90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":277,"start_interval_clock_positions":[67,435],"circle_positions":734,"cycle_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":[68,436,804,1172,1540,1908],"clock_positions":[68,436,804,1172,1540,1908],"native_values":[597,137,230,137,597,504],"rotation_degrees":11.08695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,137,230,137,597,504],"beta":{"interval_sums":[138776,136107,143547,130602,133271,125097],"interval_residues":[50,317,417,684,417,317],"display_cycle":[50,317,417,684,417,317],"intervals":[{"from_index":68,"to_index":436,"sum":138776,"residue":50},{"from_index":436,"to_index":804,"sum":136107,"residue":317},{"from_index":804,"to_index":1172,"sum":143547,"residue":417},{"from_index":1172,"to_index":1540,"sum":130602,"residue":684},{"from_index":1540,"to_index":1908,"sum":133271,"residue":417},{"from_index":1908,"to_index":68,"sum":125097,"residue":317}],"minimal_cycle":[50,317,417,684,417,317],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[68,436],"circle_positions":734,"cycle_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":[69,437,805,1173,1541,1909],"clock_positions":[69,437,805,1173,1541,1909],"native_values":[594,507,227,140,227,507],"rotation_degrees":11.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[594,507,227,140,227,507],"beta":{"interval_sums":[138319,135830,143457,131059,133548,125187],"interval_residues":[327,40,327,407,694,407],"display_cycle":[327,40,327,407,694,407],"intervals":[{"from_index":69,"to_index":437,"sum":138319,"residue":327},{"from_index":437,"to_index":805,"sum":135830,"residue":40},{"from_index":805,"to_index":1173,"sum":143457,"residue":327},{"from_index":1173,"to_index":1541,"sum":131059,"residue":407},{"from_index":1541,"to_index":1909,"sum":133548,"residue":694},{"from_index":1909,"to_index":69,"sum":125187,"residue":407}],"minimal_cycle":[327,40,327,407,694,407],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":327,"start_interval_clock_positions":[69,437],"circle_positions":734,"cycle_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":[70,438,806,1174,1542,1910],"clock_positions":[70,438,806,1174,1542,1910],"native_values":[457,644,457,277,90,277],"rotation_degrees":11.41304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,644,457,277,90,277],"beta":{"interval_sums":[138369,135413,143140,131009,133965,125504],"interval_residues":[377,357,10,357,377,724],"display_cycle":[377,357,10,357,377,724],"intervals":[{"from_index":70,"to_index":438,"sum":138369,"residue":377},{"from_index":438,"to_index":806,"sum":135413,"residue":357},{"from_index":806,"to_index":1174,"sum":143140,"residue":10},{"from_index":1174,"to_index":1542,"sum":131009,"residue":357},{"from_index":1542,"to_index":1910,"sum":133965,"residue":377},{"from_index":1910,"to_index":70,"sum":125504,"residue":724}],"minimal_cycle":[377,357,10,357,377,724],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[70,438],"circle_positions":734,"cycle_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":[71,439,807,1175,1543,1911],"clock_positions":[71,439,807,1175,1543,1911],"native_values":[317,417,684,417,317,50],"rotation_degrees":11.576086956521738,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,417,684,417,317,50],"beta":{"interval_sums":[138696,135453,142733,130682,133925,125911],"interval_residues":[704,397,337,30,337,397],"display_cycle":[704,397,337,30,337,397],"intervals":[{"from_index":71,"to_index":439,"sum":138696,"residue":704},{"from_index":439,"to_index":807,"sum":135453,"residue":397},{"from_index":807,"to_index":1175,"sum":142733,"residue":337},{"from_index":1175,"to_index":1543,"sum":130682,"residue":30},{"from_index":1543,"to_index":1911,"sum":133925,"residue":337},{"from_index":1911,"to_index":71,"sum":125911,"residue":397}],"minimal_cycle":[704,397,337,30,337,397],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":704,"start_interval_clock_positions":[71,439],"circle_positions":734,"cycle_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":[72,440,808,1176,1544,1912],"clock_positions":[72,440,808,1176,1544,1912],"native_values":[40,327,407,694,407,327],"rotation_degrees":11.73913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[40,327,407,694,407,327],"beta":{"interval_sums":[139073,135810,142743,130305,133568,125901],"interval_residues":[347,20,347,387,714,387],"display_cycle":[347,20,347,387,714,387],"intervals":[{"from_index":72,"to_index":440,"sum":139073,"residue":347},{"from_index":440,"to_index":808,"sum":135810,"residue":20},{"from_index":808,"to_index":1176,"sum":142743,"residue":347},{"from_index":1176,"to_index":1544,"sum":130305,"residue":387},{"from_index":1544,"to_index":1912,"sum":133568,"residue":714},{"from_index":1912,"to_index":72,"sum":125901,"residue":387}],"minimal_cycle":[347,20,347,387,714,387],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":347,"start_interval_clock_positions":[72,440],"circle_positions":734,"cycle_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":[73,441,809,1177,1545,1913],"clock_positions":[73,441,809,1177,1545,1913],"native_values":[357,10,357,377,724,377],"rotation_degrees":11.902173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,10,357,377,724,377],"beta":{"interval_sums":[139043,136207,143080,130335,133171,125564],"interval_residues":[317,417,684,417,317,50],"display_cycle":[317,417,684,417,317,50],"intervals":[{"from_index":73,"to_index":441,"sum":139043,"residue":317},{"from_index":441,"to_index":809,"sum":136207,"residue":417},{"from_index":809,"to_index":1177,"sum":143080,"residue":684},{"from_index":1177,"to_index":1545,"sum":130335,"residue":417},{"from_index":1545,"to_index":1913,"sum":133171,"residue":317},{"from_index":1913,"to_index":73,"sum":125564,"residue":50}],"minimal_cycle":[317,417,684,417,317,50],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":317,"start_interval_clock_positions":[73,441],"circle_positions":734,"cycle_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":[74,442,810,1178,1546,1914],"clock_positions":[74,442,810,1178,1546,1914],"native_values":[397,337,30,337,397,704],"rotation_degrees":12.065217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,337,30,337,397,704],"beta":{"interval_sums":[138656,136227,143427,130722,133151,125217],"interval_residues":[664,437,297,70,297,437],"display_cycle":[664,437,297,70,297,437],"intervals":[{"from_index":74,"to_index":442,"sum":138656,"residue":664},{"from_index":442,"to_index":810,"sum":136227,"residue":437},{"from_index":810,"to_index":1178,"sum":143427,"residue":297},{"from_index":1178,"to_index":1546,"sum":130722,"residue":70},{"from_index":1546,"to_index":1914,"sum":133151,"residue":297},{"from_index":1914,"to_index":74,"sum":125217,"residue":437}],"minimal_cycle":[664,437,297,70,297,437],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":664,"start_interval_clock_positions":[74,442],"circle_positions":734,"cycle_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":[75,443,811,1179,1547,1915],"clock_positions":[75,443,811,1179,1547,1915],"native_values":[20,347,387,714,387,347],"rotation_degrees":12.228260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[20,347,387,714,387,347],"beta":{"interval_sums":[138973,135910,143377,130405,133468,125267],"interval_residues":[247,120,247,487,614,487],"display_cycle":[247,120,247,487,614,487],"intervals":[{"from_index":75,"to_index":443,"sum":138973,"residue":247},{"from_index":443,"to_index":811,"sum":135910,"residue":120},{"from_index":811,"to_index":1179,"sum":143377,"residue":247},{"from_index":1179,"to_index":1547,"sum":130405,"residue":487},{"from_index":1547,"to_index":1915,"sum":133468,"residue":614},{"from_index":1915,"to_index":75,"sum":125267,"residue":487}],"minimal_cycle":[247,120,247,487,614,487],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":247,"start_interval_clock_positions":[75,443],"circle_positions":734,"cycle_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":[76,444,812,1180,1548,1916],"clock_positions":[76,444,812,1180,1548,1916],"native_values":[417,684,417,317,50,317],"rotation_degrees":12.391304347826088,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,684,417,317,50,317],"beta":{"interval_sums":[138903,135613,143674,130475,133765,124970],"interval_residues":[177,557,544,557,177,190],"display_cycle":[177,557,544,557,177,190],"intervals":[{"from_index":76,"to_index":444,"sum":138903,"residue":177},{"from_index":444,"to_index":812,"sum":135613,"residue":557},{"from_index":812,"to_index":1180,"sum":143674,"residue":544},{"from_index":1180,"to_index":1548,"sum":130475,"residue":557},{"from_index":1548,"to_index":1916,"sum":133765,"residue":177},{"from_index":1916,"to_index":76,"sum":124970,"residue":190}],"minimal_cycle":[177,557,544,557,177,190],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":177,"start_interval_clock_positions":[76,444],"circle_positions":734,"cycle_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":[77,445,813,1181,1549,1917],"clock_positions":[77,445,813,1181,1549,1917],"native_values":[437,297,70,297,437,664],"rotation_degrees":12.554347826086957,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[437,297,70,297,437,664],"beta":{"interval_sums":[139150,135733,143921,130228,133645,124723],"interval_residues":[424,677,57,310,57,677],"display_cycle":[424,677,57,310,57,677],"intervals":[{"from_index":77,"to_index":445,"sum":139150,"residue":424},{"from_index":445,"to_index":813,"sum":135733,"residue":677},{"from_index":813,"to_index":1181,"sum":143921,"residue":57},{"from_index":1181,"to_index":1549,"sum":130228,"residue":310},{"from_index":1549,"to_index":1917,"sum":133645,"residue":57},{"from_index":1917,"to_index":77,"sum":124723,"residue":677}],"minimal_cycle":[424,677,57,310,57,677],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[77,445],"circle_positions":734,"cycle_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":[78,446,814,1182,1550,1918],"clock_positions":[78,446,814,1182,1550,1918],"native_values":[120,247,487,614,487,247],"rotation_degrees":12.717391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[120,247,487,614,487,247],"beta":{"interval_sums":[139327,135556,143731,130051,133822,124913],"interval_residues":[601,500,601,133,234,133],"display_cycle":[601,500,601,133,234,133],"intervals":[{"from_index":78,"to_index":446,"sum":139327,"residue":601},{"from_index":446,"to_index":814,"sum":135556,"residue":500},{"from_index":814,"to_index":1182,"sum":143731,"residue":601},{"from_index":1182,"to_index":1550,"sum":130051,"residue":133},{"from_index":1550,"to_index":1918,"sum":133822,"residue":234},{"from_index":1918,"to_index":78,"sum":124913,"residue":133}],"minimal_cycle":[601,500,601,133,234,133],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":601,"start_interval_clock_positions":[78,446],"circle_positions":734,"cycle_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":[79,447,815,1183,1551,1919],"clock_positions":[79,447,815,1183,1551,1919],"native_values":[557,544,557,177,190,177],"rotation_degrees":12.880434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,544,557,177,190,177],"beta":{"interval_sums":[139017,135499,143788,130361,133879,124856],"interval_residues":[291,443,658,443,291,76],"display_cycle":[291,443,658,443,291,76],"intervals":[{"from_index":79,"to_index":447,"sum":139017,"residue":291},{"from_index":447,"to_index":815,"sum":135499,"residue":443},{"from_index":815,"to_index":1183,"sum":143788,"residue":658},{"from_index":1183,"to_index":1551,"sum":130361,"residue":443},{"from_index":1551,"to_index":1919,"sum":133879,"residue":291},{"from_index":1919,"to_index":79,"sum":124856,"residue":76}],"minimal_cycle":[291,443,658,443,291,76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":291,"start_interval_clock_positions":[79,447],"circle_positions":734,"cycle_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":[80,448,816,1184,1552,1920],"clock_positions":[80,448,816,1184,1552,1920],"native_values":[677,57,310,57,677,424],"rotation_degrees":13.043478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[677,57,310,57,677,424],"beta":{"interval_sums":[138884,135999,143655,130494,133379,124989],"interval_residues":[158,209,525,576,525,209],"display_cycle":[158,209,525,576,525,209],"intervals":[{"from_index":80,"to_index":448,"sum":138884,"residue":158},{"from_index":448,"to_index":816,"sum":135999,"residue":209},{"from_index":816,"to_index":1184,"sum":143655,"residue":525},{"from_index":1184,"to_index":1552,"sum":130494,"residue":576},{"from_index":1552,"to_index":1920,"sum":133379,"residue":525},{"from_index":1920,"to_index":80,"sum":124989,"residue":209}],"minimal_cycle":[158,209,525,576,525,209],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":158,"start_interval_clock_positions":[80,448],"circle_positions":734,"cycle_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":[81,449,817,1185,1553,1921],"clock_positions":[81,449,817,1185,1553,1921],"native_values":[500,601,133,234,133,601],"rotation_degrees":13.206521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[500,601,133,234,133,601],"beta":{"interval_sums":[138441,135708,143579,130937,133670,125065],"interval_residues":[449,652,449,285,82,285],"display_cycle":[449,652,449,285,82,285],"intervals":[{"from_index":81,"to_index":449,"sum":138441,"residue":449},{"from_index":449,"to_index":817,"sum":135708,"residue":652},{"from_index":817,"to_index":1185,"sum":143579,"residue":449},{"from_index":1185,"to_index":1553,"sum":130937,"residue":285},{"from_index":1553,"to_index":1921,"sum":133670,"residue":82},{"from_index":1921,"to_index":81,"sum":125065,"residue":285}],"minimal_cycle":[449,652,449,285,82,285],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":449,"start_interval_clock_positions":[81,449],"circle_positions":734,"cycle_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":[82,450,818,1186,1554,1922],"clock_positions":[82,450,818,1186,1554,1922],"native_values":[443,658,443,291,76,291],"rotation_degrees":13.369565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,658,443,291,76,291],"beta":{"interval_sums":[138599,135183,143370,130779,134195,125274],"interval_residues":[607,127,240,127,607,494],"display_cycle":[607,127,240,127,607,494],"intervals":[{"from_index":82,"to_index":450,"sum":138599,"residue":607},{"from_index":450,"to_index":818,"sum":135183,"residue":127},{"from_index":818,"to_index":1186,"sum":143370,"residue":240},{"from_index":1186,"to_index":1554,"sum":130779,"residue":127},{"from_index":1554,"to_index":1922,"sum":134195,"residue":607},{"from_index":1922,"to_index":82,"sum":125274,"residue":494}],"minimal_cycle":[607,127,240,127,607,494],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":607,"start_interval_clock_positions":[82,450],"circle_positions":734,"cycle_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":[83,451,819,1187,1555,1923],"clock_positions":[83,451,819,1187,1555,1923],"native_values":[209,525,576,525,209,158],"rotation_degrees":13.532608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,525,576,525,209,158],"beta":{"interval_sums":[139048,135101,143085,130330,134277,125559],"interval_residues":[322,45,689,412,689,45],"display_cycle":[322,45,689,412,689,45],"intervals":[{"from_index":83,"to_index":451,"sum":139048,"residue":322},{"from_index":451,"to_index":819,"sum":135101,"residue":45},{"from_index":819,"to_index":1187,"sum":143085,"residue":689},{"from_index":1187,"to_index":1555,"sum":130330,"residue":412},{"from_index":1555,"to_index":1923,"sum":134277,"residue":689},{"from_index":1923,"to_index":83,"sum":125559,"residue":45}],"minimal_cycle":[322,45,689,412,689,45],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":322,"start_interval_clock_positions":[83,451],"circle_positions":734,"cycle_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":[84,452,820,1188,1556,1924],"clock_positions":[84,452,820,1188,1556,1924],"native_values":[652,449,285,82,285,449],"rotation_degrees":13.695652173913043,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[652,449,285,82,285,449],"beta":{"interval_sums":[138921,135228,143325,130457,134150,125319],"interval_residues":[195,172,195,539,562,539],"display_cycle":[195,172,195,539,562,539],"intervals":[{"from_index":84,"to_index":452,"sum":138921,"residue":195},{"from_index":452,"to_index":820,"sum":135228,"residue":172},{"from_index":820,"to_index":1188,"sum":143325,"residue":195},{"from_index":1188,"to_index":1556,"sum":130457,"residue":539},{"from_index":1556,"to_index":1924,"sum":134150,"residue":562},{"from_index":1924,"to_index":84,"sum":125319,"residue":539}],"minimal_cycle":[195,172,195,539,562,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":195,"start_interval_clock_positions":[84,452],"circle_positions":734,"cycle_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":[85,453,821,1189,1557,1925],"clock_positions":[85,453,821,1189,1557,1925],"native_values":[127,240,127,607,494,607],"rotation_degrees":13.858695652173912,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,240,127,607,494,607],"beta":{"interval_sums":[139243,135273,143280,130135,134105,125364],"interval_residues":[517,217,150,217,517,584],"display_cycle":[517,217,150,217,517,584],"intervals":[{"from_index":85,"to_index":453,"sum":139243,"residue":517},{"from_index":453,"to_index":821,"sum":135273,"residue":217},{"from_index":821,"to_index":1189,"sum":143280,"residue":150},{"from_index":1189,"to_index":1557,"sum":130135,"residue":217},{"from_index":1557,"to_index":1925,"sum":134105,"residue":517},{"from_index":1925,"to_index":85,"sum":125364,"residue":584}],"minimal_cycle":[517,217,150,217,517,584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":517,"start_interval_clock_positions":[85,453],"circle_positions":734,"cycle_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":[86,454,822,1190,1558,1926],"clock_positions":[86,454,822,1190,1558,1926],"native_values":[45,689,412,689,45,322],"rotation_degrees":14.021739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,689,412,689,45,322],"beta":{"interval_sums":[139438,134711,143475,129940,134667,125169],"interval_residues":[712,389,345,22,345,389],"display_cycle":[712,389,345,22,345,389],"intervals":[{"from_index":86,"to_index":454,"sum":139438,"residue":712},{"from_index":454,"to_index":822,"sum":134711,"residue":389},{"from_index":822,"to_index":1190,"sum":143475,"residue":345},{"from_index":1190,"to_index":1558,"sum":129940,"residue":22},{"from_index":1558,"to_index":1926,"sum":134667,"residue":345},{"from_index":1926,"to_index":86,"sum":125169,"residue":389}],"minimal_cycle":[712,389,345,22,345,389],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":712,"start_interval_clock_positions":[86,454],"circle_positions":734,"cycle_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":[87,455,823,1191,1559,1927],"clock_positions":[87,455,823,1191,1559,1927],"native_values":[172,195,539,562,539,195],"rotation_degrees":14.184782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[172,195,539,562,539,195],"beta":{"interval_sums":[139955,134928,143625,129423,134450,125019],"interval_residues":[495,606,495,239,128,239],"display_cycle":[495,606,495,239,128,239],"intervals":[{"from_index":87,"to_index":455,"sum":139955,"residue":495},{"from_index":455,"to_index":823,"sum":134928,"residue":606},{"from_index":823,"to_index":1191,"sum":143625,"residue":495},{"from_index":1191,"to_index":1559,"sum":129423,"residue":239},{"from_index":1559,"to_index":1927,"sum":134450,"residue":128},{"from_index":1927,"to_index":87,"sum":125019,"residue":239}],"minimal_cycle":[495,606,495,239,128,239],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":495,"start_interval_clock_positions":[87,455],"circle_positions":734,"cycle_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":[88,456,824,1192,1560,1928],"clock_positions":[88,456,824,1192,1560,1928],"native_values":[217,150,217,517,584,517],"rotation_degrees":14.347826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[217,150,217,517,584,517],"beta":{"interval_sums":[139933,135317,143970,129445,134061,124674],"interval_residues":[473,261,106,261,473,628],"display_cycle":[473,261,106,261,473,628],"intervals":[{"from_index":88,"to_index":456,"sum":139933,"residue":473},{"from_index":456,"to_index":824,"sum":135317,"residue":261},{"from_index":824,"to_index":1192,"sum":143970,"residue":106},{"from_index":1192,"to_index":1560,"sum":129445,"residue":261},{"from_index":1560,"to_index":1928,"sum":134061,"residue":473},{"from_index":1928,"to_index":88,"sum":124674,"residue":628}],"minimal_cycle":[473,261,106,261,473,628],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":473,"start_interval_clock_positions":[88,456],"circle_positions":734,"cycle_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":[89,457,825,1193,1561,1929],"clock_positions":[89,457,825,1193,1561,1929],"native_values":[389,345,22,345,389,712],"rotation_degrees":14.51086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[389,345,22,345,389,712],"beta":{"interval_sums":[139694,135189,144465,129684,134189,124179],"interval_residues":[234,133,601,500,601,133],"display_cycle":[234,133,601,500,601,133],"intervals":[{"from_index":89,"to_index":457,"sum":139694,"residue":234},{"from_index":457,"to_index":825,"sum":135189,"residue":133},{"from_index":825,"to_index":1193,"sum":144465,"residue":601},{"from_index":1193,"to_index":1561,"sum":129684,"residue":500},{"from_index":1561,"to_index":1929,"sum":134189,"residue":601},{"from_index":1929,"to_index":89,"sum":124179,"residue":133}],"minimal_cycle":[234,133,601,500,601,133],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[89,457],"circle_positions":734,"cycle_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":[90,458,826,1194,1562,1930],"clock_positions":[90,458,826,1194,1562,1930],"native_values":[606,495,239,128,239,495],"rotation_degrees":14.673913043478262,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[606,495,239,128,239,495],"beta":{"interval_sums":[139433,134716,144571,129945,134662,124073],"interval_residues":[707,394,707,27,340,27],"display_cycle":[707,394,707,27,340,27],"intervals":[{"from_index":90,"to_index":458,"sum":139433,"residue":707},{"from_index":458,"to_index":826,"sum":134716,"residue":394},{"from_index":826,"to_index":1194,"sum":144571,"residue":707},{"from_index":1194,"to_index":1562,"sum":129945,"residue":27},{"from_index":1562,"to_index":1930,"sum":134662,"residue":340},{"from_index":1930,"to_index":90,"sum":124073,"residue":27}],"minimal_cycle":[707,394,707,27,340,27],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":707,"start_interval_clock_positions":[90,458],"circle_positions":734,"cycle_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":[91,459,827,1195,1563,1931],"clock_positions":[91,459,827,1195,1563,1931],"native_values":[261,106,261,473,628,473],"rotation_degrees":14.83695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,106,261,473,628,473],"beta":{"interval_sums":[139667,134849,144438,129711,134529,124206],"interval_residues":[207,527,574,527,207,160],"display_cycle":[207,527,574,527,207,160],"intervals":[{"from_index":91,"to_index":459,"sum":139667,"residue":207},{"from_index":459,"to_index":827,"sum":134849,"residue":527},{"from_index":827,"to_index":1195,"sum":144438,"residue":574},{"from_index":1195,"to_index":1563,"sum":129711,"residue":527},{"from_index":1563,"to_index":1931,"sum":134529,"residue":207},{"from_index":1931,"to_index":91,"sum":124206,"residue":160}],"minimal_cycle":[207,527,574,527,207,160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":207,"start_interval_clock_positions":[91,459],"circle_positions":734,"cycle_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":[92,460,828,1196,1564,1932],"clock_positions":[92,460,828,1196,1564,1932],"native_values":[133,601,500,601,133,234],"rotation_degrees":15.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,601,500,601,133,234],"beta":{"interval_sums":[139640,134509,144411,129738,134869,124233],"interval_residues":[180,187,547,554,547,187],"display_cycle":[180,187,547,554,547,187],"intervals":[{"from_index":92,"to_index":460,"sum":139640,"residue":180},{"from_index":460,"to_index":828,"sum":134509,"residue":187},{"from_index":828,"to_index":1196,"sum":144411,"residue":547},{"from_index":1196,"to_index":1564,"sum":129738,"residue":554},{"from_index":1564,"to_index":1932,"sum":134869,"residue":547},{"from_index":1932,"to_index":92,"sum":124233,"residue":187}],"minimal_cycle":[180,187,547,554,547,187],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[92,460],"circle_positions":734,"cycle_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":[93,461,829,1197,1565,1933],"clock_positions":[93,461,829,1197,1565,1933],"native_values":[394,707,27,340,27,707],"rotation_degrees":15.16304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[394,707,27,340,27,707],"beta":{"interval_sums":[139847,134302,144985,129531,135076,123659],"interval_residues":[387,714,387,347,20,347],"display_cycle":[387,714,387,347,20,347],"intervals":[{"from_index":93,"to_index":461,"sum":139847,"residue":387},{"from_index":461,"to_index":829,"sum":134302,"residue":714},{"from_index":829,"to_index":1197,"sum":144985,"residue":387},{"from_index":1197,"to_index":1565,"sum":129531,"residue":347},{"from_index":1565,"to_index":1933,"sum":135076,"residue":20},{"from_index":1933,"to_index":93,"sum":123659,"residue":347}],"minimal_cycle":[387,714,387,347,20,347],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":387,"start_interval_clock_positions":[93,461],"circle_positions":734,"cycle_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":[94,462,830,1198,1566,1934],"clock_positions":[94,462,830,1198,1566,1934],"native_values":[527,574,527,207,160,207],"rotation_degrees":15.326086956521738,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,574,527,207,160,207],"beta":{"interval_sums":[140027,133755,144798,129351,135623,123846],"interval_residues":[567,167,200,167,567,534],"display_cycle":[567,167,200,167,567,534],"intervals":[{"from_index":94,"to_index":462,"sum":140027,"residue":567},{"from_index":462,"to_index":830,"sum":133755,"residue":167},{"from_index":830,"to_index":1198,"sum":144798,"residue":200},{"from_index":1198,"to_index":1566,"sum":129351,"residue":167},{"from_index":1566,"to_index":1934,"sum":135623,"residue":567},{"from_index":1934,"to_index":94,"sum":123846,"residue":534}],"minimal_cycle":[567,167,200,167,567,534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":567,"start_interval_clock_positions":[94,462],"circle_positions":734,"cycle_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":[95,463,831,1199,1567,1935],"clock_positions":[95,463,831,1199,1567,1935],"native_values":[187,547,554,547,187,180],"rotation_degrees":15.48913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[187,547,554,547,187,180],"beta":{"interval_sums":[140414,133735,144451,128964,135643,124193],"interval_residues":[220,147,587,514,587,147],"display_cycle":[220,147,587,514,587,147],"intervals":[{"from_index":95,"to_index":463,"sum":140414,"residue":220},{"from_index":463,"to_index":831,"sum":133735,"residue":147},{"from_index":831,"to_index":1199,"sum":144451,"residue":587},{"from_index":1199,"to_index":1567,"sum":128964,"residue":514},{"from_index":1567,"to_index":1935,"sum":135643,"residue":587},{"from_index":1935,"to_index":95,"sum":124193,"residue":147}],"minimal_cycle":[220,147,587,514,587,147],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[95,463],"circle_positions":734,"cycle_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":[96,464,832,1200,1568,1936],"clock_positions":[96,464,832,1200,1568,1936],"native_values":[714,387,347,20,347,387],"rotation_degrees":15.652173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[714,387,347,20,347,387],"beta":{"interval_sums":[140247,133902,144651,129131,135476,123993],"interval_residues":[53,314,53,681,420,681],"display_cycle":[53,314,53,681,420,681],"intervals":[{"from_index":96,"to_index":464,"sum":140247,"residue":53},{"from_index":464,"to_index":832,"sum":133902,"residue":314},{"from_index":832,"to_index":1200,"sum":144651,"residue":53},{"from_index":1200,"to_index":1568,"sum":129131,"residue":681},{"from_index":1568,"to_index":1936,"sum":135476,"residue":420},{"from_index":1936,"to_index":96,"sum":123993,"residue":681}],"minimal_cycle":[53,314,53,681,420,681],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":53,"start_interval_clock_positions":[96,464],"circle_positions":734,"cycle_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":[97,465,833,1201,1569,1937],"clock_positions":[97,465,833,1201,1569,1937],"native_values":[167,200,167,567,534,567],"rotation_degrees":15.815217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,200,167,567,534,567],"beta":{"interval_sums":[140467,134049,144504,128911,135329,124140],"interval_residues":[273,461,640,461,273,94],"display_cycle":[273,461,640,461,273,94],"intervals":[{"from_index":97,"to_index":465,"sum":140467,"residue":273},{"from_index":465,"to_index":833,"sum":134049,"residue":461},{"from_index":833,"to_index":1201,"sum":144504,"residue":640},{"from_index":1201,"to_index":1569,"sum":128911,"residue":461},{"from_index":1569,"to_index":1937,"sum":135329,"residue":273},{"from_index":1937,"to_index":97,"sum":124140,"residue":94}],"minimal_cycle":[273,461,640,461,273,94],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":273,"start_interval_clock_positions":[97,465],"circle_positions":734,"cycle_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":[98,466,834,1202,1570,1938],"clock_positions":[98,466,834,1202,1570,1938],"native_values":[147,587,514,587,147,220],"rotation_degrees":15.978260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[147,587,514,587,147,220],"beta":{"interval_sums":[140520,133629,144557,128858,135749,124087],"interval_residues":[326,41,693,408,693,41],"display_cycle":[326,41,693,408,693,41],"intervals":[{"from_index":98,"to_index":466,"sum":140520,"residue":326},{"from_index":466,"to_index":834,"sum":133629,"residue":41},{"from_index":834,"to_index":1202,"sum":144557,"residue":693},{"from_index":1202,"to_index":1570,"sum":128858,"residue":408},{"from_index":1570,"to_index":1938,"sum":135749,"residue":693},{"from_index":1938,"to_index":98,"sum":124087,"residue":41}],"minimal_cycle":[326,41,693,408,693,41],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[98,466],"circle_positions":734,"cycle_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":[99,467,835,1203,1571,1939],"clock_positions":[99,467,835,1203,1571,1939],"native_values":[314,53,681,420,681,53],"rotation_degrees":16.141304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[314,53,681,420,681,53],"beta":{"interval_sums":[140793,134090,144463,128585,135288,124181],"interval_residues":[599,502,599,135,232,135],"display_cycle":[599,502,599,135,232,135],"intervals":[{"from_index":99,"to_index":467,"sum":140793,"residue":599},{"from_index":467,"to_index":835,"sum":134090,"residue":502},{"from_index":835,"to_index":1203,"sum":144463,"residue":599},{"from_index":1203,"to_index":1571,"sum":128585,"residue":135},{"from_index":1571,"to_index":1939,"sum":135288,"residue":232},{"from_index":1939,"to_index":99,"sum":124181,"residue":135}],"minimal_cycle":[599,502,599,135,232,135],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":599,"start_interval_clock_positions":[99,467],"circle_positions":734,"cycle_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":[100,468,836,1204,1572,1940],"clock_positions":[100,468,836,1204,1572,1940],"native_values":[461,640,461,273,94,273],"rotation_degrees":16.304347826086957,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,640,461,273,94,273],"beta":{"interval_sums":[140385,134131,144422,128993,135247,124222],"interval_residues":[191,543,558,543,191,176],"display_cycle":[191,543,558,543,191,176],"intervals":[{"from_index":100,"to_index":468,"sum":140385,"residue":191},{"from_index":468,"to_index":836,"sum":134131,"residue":543},{"from_index":836,"to_index":1204,"sum":144422,"residue":558},{"from_index":1204,"to_index":1572,"sum":128993,"residue":543},{"from_index":1572,"to_index":1940,"sum":135247,"residue":191},{"from_index":1940,"to_index":100,"sum":124222,"residue":176}],"minimal_cycle":[191,543,558,543,191,176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":191,"start_interval_clock_positions":[100,468],"circle_positions":734,"cycle_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":[101,469,837,1205,1573,1941],"clock_positions":[101,469,837,1205,1573,1941],"native_values":[41,693,408,693,41,326],"rotation_degrees":16.467391304347824,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,693,408,693,41,326],"beta":{"interval_sums":[140984,133899,144287,128394,135479,124357],"interval_residues":[56,311,423,678,423,311],"display_cycle":[56,311,423,678,423,311],"intervals":[{"from_index":101,"to_index":469,"sum":140984,"residue":56},{"from_index":469,"to_index":837,"sum":133899,"residue":311},{"from_index":837,"to_index":1205,"sum":144287,"residue":423},{"from_index":1205,"to_index":1573,"sum":128394,"residue":678},{"from_index":1573,"to_index":1941,"sum":135479,"residue":423},{"from_index":1941,"to_index":101,"sum":124357,"residue":311}],"minimal_cycle":[56,311,423,678,423,311],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":56,"start_interval_clock_positions":[101,469],"circle_positions":734,"cycle_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":[102,470,838,1206,1574,1942],"clock_positions":[102,470,838,1206,1574,1942],"native_values":[502,599,135,232,135,599],"rotation_degrees":16.630434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,599,135,232,135,599],"beta":{"interval_sums":[141175,133708,144845,128203,135670,123799],"interval_residues":[247,120,247,487,614,487],"display_cycle":[247,120,247,487,614,487],"intervals":[{"from_index":102,"to_index":470,"sum":141175,"residue":247},{"from_index":470,"to_index":838,"sum":133708,"residue":120},{"from_index":838,"to_index":1206,"sum":144845,"residue":247},{"from_index":1206,"to_index":1574,"sum":128203,"residue":487},{"from_index":1574,"to_index":1942,"sum":135670,"residue":614},{"from_index":1942,"to_index":102,"sum":123799,"residue":487}],"minimal_cycle":[247,120,247,487,614,487],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":247,"start_interval_clock_positions":[102,470],"circle_positions":734,"cycle_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":[103,471,839,1207,1575,1943],"clock_positions":[103,471,839,1207,1575,1943],"native_values":[543,558,543,191,176,191],"rotation_degrees":16.793478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[543,558,543,191,176,191],"beta":{"interval_sums":[141231,133285,144534,128147,136093,124110],"interval_residues":[303,431,670,431,303,64],"display_cycle":[303,431,670,431,303,64],"intervals":[{"from_index":103,"to_index":471,"sum":141231,"residue":303},{"from_index":471,"to_index":839,"sum":133285,"residue":431},{"from_index":839,"to_index":1207,"sum":144534,"residue":670},{"from_index":1207,"to_index":1575,"sum":128147,"residue":431},{"from_index":1575,"to_index":1943,"sum":136093,"residue":303},{"from_index":1943,"to_index":103,"sum":124110,"residue":64}],"minimal_cycle":[303,431,670,431,303,64],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":303,"start_interval_clock_positions":[103,471],"circle_positions":734,"cycle_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":[104,472,840,1208,1576,1944],"clock_positions":[104,472,840,1208,1576,1944],"native_values":[311,423,678,423,311,56],"rotation_degrees":16.956521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,423,678,423,311,56],"beta":{"interval_sums":[141478,133405,144047,127900,135973,124597],"interval_residues":[550,551,183,184,183,551],"display_cycle":[550,551,183,184,183,551],"intervals":[{"from_index":104,"to_index":472,"sum":141478,"residue":550},{"from_index":472,"to_index":840,"sum":133405,"residue":551},{"from_index":840,"to_index":1208,"sum":144047,"residue":183},{"from_index":1208,"to_index":1576,"sum":127900,"residue":184},{"from_index":1576,"to_index":1944,"sum":135973,"residue":183},{"from_index":1944,"to_index":104,"sum":124597,"residue":551}],"minimal_cycle":[550,551,183,184,183,551],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":550,"start_interval_clock_positions":[104,472],"circle_positions":734,"cycle_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":[105,473,841,1209,1577,1945],"clock_positions":[105,473,841,1209,1577,1945],"native_values":[120,247,487,614,487,247],"rotation_degrees":17.119565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[120,247,487,614,487,247],"beta":{"interval_sums":[141781,133836,143983,127597,135542,124661],"interval_residues":[119,248,119,615,486,615],"display_cycle":[119,248,119,615,486,615],"intervals":[{"from_index":105,"to_index":473,"sum":141781,"residue":119},{"from_index":473,"to_index":841,"sum":133836,"residue":248},{"from_index":841,"to_index":1209,"sum":143983,"residue":119},{"from_index":1209,"to_index":1577,"sum":127597,"residue":615},{"from_index":1577,"to_index":1945,"sum":135542,"residue":486},{"from_index":1945,"to_index":105,"sum":124661,"residue":615}],"minimal_cycle":[119,248,119,615,486,615],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":119,"start_interval_clock_positions":[105,473],"circle_positions":734,"cycle_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":[106,474,842,1210,1578,1946],"clock_positions":[106,474,842,1210,1578,1946],"native_values":[431,670,431,303,64,303],"rotation_degrees":17.282608695652176,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[431,670,431,303,64,303],"beta":{"interval_sums":[141597,133653,144166,127781,135725,124478],"interval_residues":[669,65,302,65,669,432],"display_cycle":[669,65,302,65,669,432],"intervals":[{"from_index":106,"to_index":474,"sum":141597,"residue":669},{"from_index":474,"to_index":842,"sum":133653,"residue":65},{"from_index":842,"to_index":1210,"sum":144166,"residue":302},{"from_index":1210,"to_index":1578,"sum":127781,"residue":65},{"from_index":1578,"to_index":1946,"sum":135725,"residue":669},{"from_index":1946,"to_index":106,"sum":124478,"residue":432}],"minimal_cycle":[669,65,302,65,669,432],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":669,"start_interval_clock_positions":[106,474],"circle_positions":734,"cycle_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":[107,475,843,1211,1579,1947],"clock_positions":[107,475,843,1211,1579,1947],"native_values":[551,183,184,183,551,550],"rotation_degrees":17.445652173913043,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,183,184,183,551,550],"beta":{"interval_sums":[141716,133901,144285,127662,135477,124359],"interval_residues":[54,313,421,680,421,313],"display_cycle":[54,313,421,680,421,313],"intervals":[{"from_index":107,"to_index":475,"sum":141716,"residue":54},{"from_index":475,"to_index":843,"sum":133901,"residue":313},{"from_index":843,"to_index":1211,"sum":144285,"residue":421},{"from_index":1211,"to_index":1579,"sum":127662,"residue":680},{"from_index":1579,"to_index":1947,"sum":135477,"residue":421},{"from_index":1947,"to_index":107,"sum":124359,"residue":313}],"minimal_cycle":[54,313,421,680,421,313],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[107,475],"circle_positions":734,"cycle_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":[108,476,844,1212,1580,1948],"clock_positions":[108,476,844,1212,1580,1948],"native_values":[248,119,615,486,615,119],"rotation_degrees":17.608695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[248,119,615,486,615,119],"beta":{"interval_sums":[141651,133966,143853,127727,135412,124791],"interval_residues":[723,378,723,11,356,11],"display_cycle":[723,378,723,11,356,11],"intervals":[{"from_index":108,"to_index":476,"sum":141651,"residue":723},{"from_index":476,"to_index":844,"sum":133966,"residue":378},{"from_index":844,"to_index":1212,"sum":143853,"residue":723},{"from_index":1212,"to_index":1580,"sum":127727,"residue":11},{"from_index":1580,"to_index":1948,"sum":135412,"residue":356},{"from_index":1948,"to_index":108,"sum":124791,"residue":11}],"minimal_cycle":[723,378,723,11,356,11],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":723,"start_interval_clock_positions":[108,476],"circle_positions":734,"cycle_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":[109,477,845,1213,1581,1949],"clock_positions":[109,477,845,1213,1581,1949],"native_values":[65,302,65,669,432,669],"rotation_degrees":17.77173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,302,65,669,432,669],"beta":{"interval_sums":[141705,134279,144274,127673,135099,124370],"interval_residues":[43,691,410,691,43,324],"display_cycle":[43,691,410,691,43,324],"intervals":[{"from_index":109,"to_index":477,"sum":141705,"residue":43},{"from_index":477,"to_index":845,"sum":134279,"residue":691},{"from_index":845,"to_index":1213,"sum":144274,"residue":410},{"from_index":1213,"to_index":1581,"sum":127673,"residue":691},{"from_index":1581,"to_index":1949,"sum":135099,"residue":43},{"from_index":1949,"to_index":109,"sum":124370,"residue":324}],"minimal_cycle":[43,691,410,691,43,324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":43,"start_interval_clock_positions":[109,477],"circle_positions":734,"cycle_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":[110,478,846,1214,1582,1950],"clock_positions":[110,478,846,1214,1582,1950],"native_values":[313,421,680,421,313,54],"rotation_degrees":17.934782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,421,680,421,313,54],"beta":{"interval_sums":[141694,133923,144263,127684,135455,124381],"interval_residues":[32,335,399,702,399,335],"display_cycle":[32,335,399,702,399,335],"intervals":[{"from_index":110,"to_index":478,"sum":141694,"residue":32},{"from_index":478,"to_index":846,"sum":133923,"residue":335},{"from_index":846,"to_index":1214,"sum":144263,"residue":399},{"from_index":1214,"to_index":1582,"sum":127684,"residue":702},{"from_index":1582,"to_index":1950,"sum":135455,"residue":399},{"from_index":1950,"to_index":110,"sum":124381,"residue":335}],"minimal_cycle":[32,335,399,702,399,335],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":32,"start_interval_clock_positions":[110,478],"circle_positions":734,"cycle_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":[111,479,847,1215,1583,1951],"clock_positions":[111,479,847,1215,1583,1951],"native_values":[378,723,11,356,11,723],"rotation_degrees":18.097826086956523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[378,723,11,356,11,723],"beta":{"interval_sums":[141737,133880,144673,127641,135498,123971],"interval_residues":[75,292,75,659,442,659],"display_cycle":[75,292,75,659,442,659],"intervals":[{"from_index":111,"to_index":479,"sum":141737,"residue":75},{"from_index":479,"to_index":847,"sum":133880,"residue":292},{"from_index":847,"to_index":1215,"sum":144673,"residue":75},{"from_index":1215,"to_index":1583,"sum":127641,"residue":659},{"from_index":1583,"to_index":1951,"sum":135498,"residue":442},{"from_index":1951,"to_index":111,"sum":123971,"residue":659}],"minimal_cycle":[75,292,75,659,442,659],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":75,"start_interval_clock_positions":[111,479],"circle_positions":734,"cycle_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":[112,480,848,1216,1584,1952],"clock_positions":[112,480,848,1216,1584,1952],"native_values":[691,410,691,43,324,43],"rotation_degrees":18.26086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,410,691,43,324,43],"beta":{"interval_sums":[141769,133481,144338,127609,135897,124306],"interval_residues":[107,627,474,627,107,260],"display_cycle":[107,627,474,627,107,260],"intervals":[{"from_index":112,"to_index":480,"sum":141769,"residue":107},{"from_index":480,"to_index":848,"sum":133481,"residue":627},{"from_index":848,"to_index":1216,"sum":144338,"residue":474},{"from_index":1216,"to_index":1584,"sum":127609,"residue":627},{"from_index":1584,"to_index":1952,"sum":135897,"residue":107},{"from_index":1952,"to_index":112,"sum":124306,"residue":260}],"minimal_cycle":[107,627,474,627,107,260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":107,"start_interval_clock_positions":[112,480],"circle_positions":734,"cycle_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":[113,481,849,1217,1585,1953],"clock_positions":[113,481,849,1217,1585,1953],"native_values":[335,399,702,399,335,32],"rotation_degrees":18.42391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[335,399,702,399,335,32],"beta":{"interval_sums":[141844,133773,143679,127534,135605,124965],"interval_residues":[182,185,549,552,549,185],"display_cycle":[182,185,549,552,549,185],"intervals":[{"from_index":113,"to_index":481,"sum":141844,"residue":182},{"from_index":481,"to_index":849,"sum":133773,"residue":185},{"from_index":849,"to_index":1217,"sum":143679,"residue":549},{"from_index":1217,"to_index":1585,"sum":127534,"residue":552},{"from_index":1585,"to_index":1953,"sum":135605,"residue":549},{"from_index":1953,"to_index":113,"sum":124965,"residue":185}],"minimal_cycle":[182,185,549,552,549,185],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":182,"start_interval_clock_positions":[113,481],"circle_positions":734,"cycle_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":[114,482,850,1218,1586,1954],"clock_positions":[114,482,850,1218,1586,1954],"native_values":[292,75,659,442,659,75],"rotation_degrees":18.58695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,75,659,442,659,75],"beta":{"interval_sums":[141951,134400,143419,127427,134978,125225],"interval_residues":[289,78,289,445,656,445],"display_cycle":[289,78,289,445,656,445],"intervals":[{"from_index":114,"to_index":482,"sum":141951,"residue":289},{"from_index":482,"to_index":850,"sum":134400,"residue":78},{"from_index":850,"to_index":1218,"sum":143419,"residue":289},{"from_index":1218,"to_index":1586,"sum":127427,"residue":445},{"from_index":1586,"to_index":1954,"sum":134978,"residue":656},{"from_index":1954,"to_index":114,"sum":125225,"residue":445}],"minimal_cycle":[289,78,289,445,656,445],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":289,"start_interval_clock_positions":[114,482],"circle_positions":734,"cycle_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":[115,483,851,1219,1587,1955],"clock_positions":[115,483,851,1219,1587,1955],"native_values":[627,474,627,107,260,107],"rotation_degrees":18.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[627,474,627,107,260,107],"beta":{"interval_sums":[141399,134585,143234,127979,134793,125410],"interval_residues":[471,263,104,263,471,630],"display_cycle":[471,263,104,263,471,630],"intervals":[{"from_index":115,"to_index":483,"sum":141399,"residue":471},{"from_index":483,"to_index":851,"sum":134585,"residue":263},{"from_index":851,"to_index":1219,"sum":143234,"residue":104},{"from_index":1219,"to_index":1587,"sum":127979,"residue":263},{"from_index":1587,"to_index":1955,"sum":134793,"residue":471},{"from_index":1955,"to_index":115,"sum":125410,"residue":630}],"minimal_cycle":[471,263,104,263,471,630],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":471,"start_interval_clock_positions":[115,483],"circle_positions":734,"cycle_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":[116,484,852,1220,1588,1956],"clock_positions":[116,484,852,1220,1588,1956],"native_values":[185,549,552,549,185,182],"rotation_degrees":18.91304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[185,549,552,549,185,182],"beta":{"interval_sums":[141688,134663,142789,127690,134715,125855],"interval_residues":[26,341,393,708,393,341],"display_cycle":[26,341,393,708,393,341],"intervals":[{"from_index":116,"to_index":484,"sum":141688,"residue":26},{"from_index":484,"to_index":852,"sum":134663,"residue":341},{"from_index":852,"to_index":1220,"sum":142789,"residue":393},{"from_index":1220,"to_index":1588,"sum":127690,"residue":708},{"from_index":1588,"to_index":1956,"sum":134715,"residue":393},{"from_index":1956,"to_index":116,"sum":125855,"residue":341}],"minimal_cycle":[26,341,393,708,393,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[116,484],"circle_positions":734,"cycle_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":[117,485,853,1221,1589,1957],"clock_positions":[117,485,853,1221,1589,1957],"native_values":[78,289,445,656,445,289],"rotation_degrees":19.07608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[78,289,445,656,445,289],"beta":{"interval_sums":[142159,134926,142893,127219,134452,125751],"interval_residues":[497,604,497,237,130,237],"display_cycle":[497,604,497,237,130,237],"intervals":[{"from_index":117,"to_index":485,"sum":142159,"residue":497},{"from_index":485,"to_index":853,"sum":134926,"residue":604},{"from_index":853,"to_index":1221,"sum":142893,"residue":497},{"from_index":1221,"to_index":1589,"sum":127219,"residue":237},{"from_index":1589,"to_index":1957,"sum":134452,"residue":130},{"from_index":1957,"to_index":117,"sum":125751,"residue":237}],"minimal_cycle":[497,604,497,237,130,237],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":497,"start_interval_clock_positions":[117,485],"circle_positions":734,"cycle_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":[118,486,854,1222,1590,1958],"clock_positions":[118,486,854,1222,1590,1958],"native_values":[263,104,263,471,630,471],"rotation_degrees":19.23913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[263,104,263,471,630,471],"beta":{"interval_sums":[142185,135267,143286,127193,134111,125358],"interval_residues":[523,211,156,211,523,578],"display_cycle":[523,211,156,211,523,578],"intervals":[{"from_index":118,"to_index":486,"sum":142185,"residue":523},{"from_index":486,"to_index":854,"sum":135267,"residue":211},{"from_index":854,"to_index":1222,"sum":143286,"residue":156},{"from_index":1222,"to_index":1590,"sum":127193,"residue":211},{"from_index":1590,"to_index":1958,"sum":134111,"residue":523},{"from_index":1958,"to_index":118,"sum":125358,"residue":578}],"minimal_cycle":[523,211,156,211,523,578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":523,"start_interval_clock_positions":[118,486],"circle_positions":734,"cycle_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":[119,487,855,1223,1591,1959],"clock_positions":[119,487,855,1223,1591,1959],"native_values":[341,393,708,393,341,26],"rotation_degrees":19.402173913043477,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,393,708,393,341,26],"beta":{"interval_sums":[141948,135137,143049,127430,134241,125595],"interval_residues":[286,81,653,448,653,81],"display_cycle":[286,81,653,448,653,81],"intervals":[{"from_index":119,"to_index":487,"sum":141948,"residue":286},{"from_index":487,"to_index":855,"sum":135137,"residue":81},{"from_index":855,"to_index":1223,"sum":143049,"residue":653},{"from_index":1223,"to_index":1591,"sum":127430,"residue":448},{"from_index":1591,"to_index":1959,"sum":134241,"residue":653},{"from_index":1959,"to_index":119,"sum":125595,"residue":81}],"minimal_cycle":[286,81,653,448,653,81],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[119,487],"circle_positions":734,"cycle_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":[120,488,856,1224,1592,1960],"clock_positions":[120,488,856,1224,1592,1960],"native_values":[604,497,237,130,237,497],"rotation_degrees":19.565217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[604,497,237,130,237,497],"beta":{"interval_sums":[141737,135348,143205,127641,134030,125439],"interval_residues":[75,292,75,659,442,659],"display_cycle":[75,292,75,659,442,659],"intervals":[{"from_index":120,"to_index":488,"sum":141737,"residue":75},{"from_index":488,"to_index":856,"sum":135348,"residue":292},{"from_index":856,"to_index":1224,"sum":143205,"residue":75},{"from_index":1224,"to_index":1592,"sum":127641,"residue":659},{"from_index":1592,"to_index":1960,"sum":134030,"residue":442},{"from_index":1960,"to_index":120,"sum":125439,"residue":659}],"minimal_cycle":[75,292,75,659,442,659],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":75,"start_interval_clock_positions":[120,488],"circle_positions":734,"cycle_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":[121,489,857,1225,1593,1961],"clock_positions":[121,489,857,1225,1593,1961],"native_values":[211,156,211,523,578,523],"rotation_degrees":19.72826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,156,211,523,578,523],"beta":{"interval_sums":[142023,135429,143124,127355,133949,125520],"interval_residues":[361,373,728,373,361,6],"display_cycle":[361,373,728,373,361,6],"intervals":[{"from_index":121,"to_index":489,"sum":142023,"residue":361},{"from_index":489,"to_index":857,"sum":135429,"residue":373},{"from_index":857,"to_index":1225,"sum":143124,"residue":728},{"from_index":1225,"to_index":1593,"sum":127355,"residue":373},{"from_index":1593,"to_index":1961,"sum":133949,"residue":361},{"from_index":1961,"to_index":121,"sum":125520,"residue":6}],"minimal_cycle":[361,373,728,373,361,6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":361,"start_interval_clock_positions":[121,489],"circle_positions":734,"cycle_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":[122,490,858,1226,1594,1962],"clock_positions":[122,490,858,1226,1594,1962],"native_values":[81,653,448,653,81,286],"rotation_degrees":19.891304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,653,448,653,81,286],"beta":{"interval_sums":[142098,134987,143199,127280,134391,125445],"interval_residues":[436,665,69,298,69,665],"display_cycle":[436,665,69,298,69,665],"intervals":[{"from_index":122,"to_index":490,"sum":142098,"residue":436},{"from_index":490,"to_index":858,"sum":134987,"residue":665},{"from_index":858,"to_index":1226,"sum":143199,"residue":69},{"from_index":1226,"to_index":1594,"sum":127280,"residue":298},{"from_index":1594,"to_index":1962,"sum":134391,"residue":69},{"from_index":1962,"to_index":122,"sum":125445,"residue":665}],"minimal_cycle":[436,665,69,298,69,665],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[122,490],"circle_positions":734,"cycle_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":[123,491,859,1227,1595,1963],"clock_positions":[123,491,859,1227,1595,1963],"native_values":[292,75,659,442,659,75],"rotation_degrees":20.054347826086957,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,75,659,442,659,75],"beta":{"interval_sums":[142459,135360,143193,126919,134018,125451],"interval_residues":[63,304,63,671,430,671],"display_cycle":[63,304,63,671,430,671],"intervals":[{"from_index":123,"to_index":491,"sum":142459,"residue":63},{"from_index":491,"to_index":859,"sum":135360,"residue":304},{"from_index":859,"to_index":1227,"sum":143193,"residue":63},{"from_index":1227,"to_index":1595,"sum":126919,"residue":671},{"from_index":1595,"to_index":1963,"sum":134018,"residue":430},{"from_index":1963,"to_index":123,"sum":125451,"residue":671}],"minimal_cycle":[63,304,63,671,430,671],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":63,"start_interval_clock_positions":[123,491],"circle_positions":734,"cycle_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":[124,492,860,1228,1596,1964],"clock_positions":[124,492,860,1228,1596,1964],"native_values":[373,728,373,361,6,361],"rotation_degrees":20.217391304347824,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[373,728,373,361,6,361],"beta":{"interval_sums":[142161,135291,143262,127217,134087,125382],"interval_residues":[499,235,132,235,499,602],"display_cycle":[499,235,132,235,499,602],"intervals":[{"from_index":124,"to_index":492,"sum":142161,"residue":499},{"from_index":492,"to_index":860,"sum":135291,"residue":235},{"from_index":860,"to_index":1228,"sum":143262,"residue":132},{"from_index":1228,"to_index":1596,"sum":127217,"residue":235},{"from_index":1596,"to_index":1964,"sum":134087,"residue":499},{"from_index":1964,"to_index":124,"sum":125382,"residue":602}],"minimal_cycle":[499,235,132,235,499,602],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":499,"start_interval_clock_positions":[124,492],"circle_positions":734,"cycle_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":[125,493,861,1229,1597,1965],"clock_positions":[125,493,861,1229,1597,1965],"native_values":[665,69,298,69,665,436],"rotation_degrees":20.380434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[665,69,298,69,665,436],"beta":{"interval_sums":[142224,135595,143325,127154,133783,125319],"interval_residues":[562,539,195,172,195,539],"display_cycle":[562,539,195,172,195,539],"intervals":[{"from_index":125,"to_index":493,"sum":142224,"residue":562},{"from_index":493,"to_index":861,"sum":135595,"residue":539},{"from_index":861,"to_index":1229,"sum":143325,"residue":195},{"from_index":1229,"to_index":1597,"sum":127154,"residue":172},{"from_index":1597,"to_index":1965,"sum":133783,"residue":195},{"from_index":1965,"to_index":125,"sum":125319,"residue":539}],"minimal_cycle":[562,539,195,172,195,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":562,"start_interval_clock_positions":[125,493],"circle_positions":734,"cycle_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":[126,494,862,1230,1598,1966],"clock_positions":[126,494,862,1230,1598,1966],"native_values":[304,63,671,430,671,63],"rotation_degrees":20.543478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[304,63,671,430,671,63],"beta":{"interval_sums":[141989,135830,142723,127389,133548,125921],"interval_residues":[327,40,327,407,694,407],"display_cycle":[327,40,327,407,694,407],"intervals":[{"from_index":126,"to_index":494,"sum":141989,"residue":327},{"from_index":494,"to_index":862,"sum":135830,"residue":40},{"from_index":862,"to_index":1230,"sum":142723,"residue":327},{"from_index":1230,"to_index":1598,"sum":127389,"residue":407},{"from_index":1598,"to_index":1966,"sum":133548,"residue":694},{"from_index":1966,"to_index":126,"sum":125921,"residue":407}],"minimal_cycle":[327,40,327,407,694,407],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":327,"start_interval_clock_positions":[126,494],"circle_positions":734,"cycle_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":[127,495,863,1231,1599,1967],"clock_positions":[127,495,863,1231,1599,1967],"native_values":[235,132,235,499,602,499],"rotation_degrees":20.706521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,132,235,499,602,499],"beta":{"interval_sums":[141817,136369,142918,127561,133009,125726],"interval_residues":[155,579,522,579,155,212],"display_cycle":[155,579,522,579,155,212],"intervals":[{"from_index":127,"to_index":495,"sum":141817,"residue":155},{"from_index":495,"to_index":863,"sum":136369,"residue":579},{"from_index":863,"to_index":1231,"sum":142918,"residue":522},{"from_index":1231,"to_index":1599,"sum":127561,"residue":579},{"from_index":1599,"to_index":1967,"sum":133009,"residue":155},{"from_index":1967,"to_index":127,"sum":125726,"residue":212}],"minimal_cycle":[155,579,522,579,155,212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":155,"start_interval_clock_positions":[127,495],"circle_positions":734,"cycle_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":[128,496,864,1232,1600,1968],"clock_positions":[128,496,864,1232,1600,1968],"native_values":[539,195,172,195,539,562],"rotation_degrees":20.869565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[539,195,172,195,539,562],"beta":{"interval_sums":[141410,136409,143245,127968,132969,125399],"interval_residues":[482,619,115,252,115,619],"display_cycle":[482,619,115,252,115,619],"intervals":[{"from_index":128,"to_index":496,"sum":141410,"residue":482},{"from_index":496,"to_index":864,"sum":136409,"residue":619},{"from_index":864,"to_index":1232,"sum":143245,"residue":115},{"from_index":1232,"to_index":1600,"sum":127968,"residue":252},{"from_index":1600,"to_index":1968,"sum":132969,"residue":115},{"from_index":1968,"to_index":128,"sum":125399,"residue":619}],"minimal_cycle":[482,619,115,252,115,619],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":482,"start_interval_clock_positions":[128,496],"circle_positions":734,"cycle_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":[129,497,865,1233,1601,1969],"clock_positions":[129,497,865,1233,1601,1969],"native_values":[40,327,407,694,407,327],"rotation_degrees":21.032608695652176,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[40,327,407,694,407,327],"beta":{"interval_sums":[141565,136254,143033,127813,133124,125611],"interval_residues":[637,464,637,97,270,97],"display_cycle":[637,464,637,97,270,97],"intervals":[{"from_index":129,"to_index":497,"sum":141565,"residue":637},{"from_index":497,"to_index":865,"sum":136254,"residue":464},{"from_index":865,"to_index":1233,"sum":143033,"residue":637},{"from_index":1233,"to_index":1601,"sum":127813,"residue":97},{"from_index":1601,"to_index":1969,"sum":133124,"residue":270},{"from_index":1969,"to_index":129,"sum":125611,"residue":97}],"minimal_cycle":[637,464,637,97,270,97],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":637,"start_interval_clock_positions":[129,497],"circle_positions":734,"cycle_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":[130,498,866,1234,1602,1970],"clock_positions":[130,498,866,1234,1602,1970],"native_values":[579,522,579,155,212,155],"rotation_degrees":21.195652173913043,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[579,522,579,155,212,155],"beta":{"interval_sums":[141313,136139,143148,128065,133239,125496],"interval_residues":[385,349,18,349,385,716],"display_cycle":[385,349,18,349,385,716],"intervals":[{"from_index":130,"to_index":498,"sum":141313,"residue":385},{"from_index":498,"to_index":866,"sum":136139,"residue":349},{"from_index":866,"to_index":1234,"sum":143148,"residue":18},{"from_index":1234,"to_index":1602,"sum":128065,"residue":349},{"from_index":1602,"to_index":1970,"sum":133239,"residue":385},{"from_index":1970,"to_index":130,"sum":125496,"residue":716}],"minimal_cycle":[385,349,18,349,385,716],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":385,"start_interval_clock_positions":[130,498],"circle_positions":734,"cycle_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":[131,499,867,1235,1603,1971],"clock_positions":[131,499,867,1235,1603,1971],"native_values":[619,115,252,115,619,482],"rotation_degrees":21.358695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[619,115,252,115,619,482],"beta":{"interval_sums":[141216,136603,143051,128162,132775,125593],"interval_residues":[288,79,655,446,655,79],"display_cycle":[288,79,655,446,655,79],"intervals":[{"from_index":131,"to_index":499,"sum":141216,"residue":288},{"from_index":499,"to_index":867,"sum":136603,"residue":79},{"from_index":867,"to_index":1235,"sum":143051,"residue":655},{"from_index":1235,"to_index":1603,"sum":128162,"residue":446},{"from_index":1603,"to_index":1971,"sum":132775,"residue":655},{"from_index":1971,"to_index":131,"sum":125593,"residue":79}],"minimal_cycle":[288,79,655,446,655,79],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[131,499],"circle_positions":734,"cycle_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":[132,500,868,1236,1604,1972],"clock_positions":[132,500,868,1236,1604,1972],"native_values":[464,637,97,270,97,637],"rotation_degrees":21.52173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[464,637,97,270,97,637],"beta":{"interval_sums":[140867,136218,143069,128511,133160,125575],"interval_residues":[673,428,673,61,306,61],"display_cycle":[673,428,673,61,306,61],"intervals":[{"from_index":132,"to_index":500,"sum":140867,"residue":673},{"from_index":500,"to_index":868,"sum":136218,"residue":428},{"from_index":868,"to_index":1236,"sum":143069,"residue":673},{"from_index":1236,"to_index":1604,"sum":128511,"residue":61},{"from_index":1604,"to_index":1972,"sum":133160,"residue":306},{"from_index":1972,"to_index":132,"sum":125575,"residue":61}],"minimal_cycle":[673,428,673,61,306,61],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":673,"start_interval_clock_positions":[132,500],"circle_positions":734,"cycle_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":[133,501,869,1237,1605,1973],"clock_positions":[133,501,869,1237,1605,1973],"native_values":[349,18,349,385,716,385],"rotation_degrees":21.684782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,18,349,385,716,385],"beta":{"interval_sums":[141155,136297,142990,128223,133081,125654],"interval_residues":[227,507,594,507,227,140],"display_cycle":[227,507,594,507,227,140],"intervals":[{"from_index":133,"to_index":501,"sum":141155,"residue":227},{"from_index":501,"to_index":869,"sum":136297,"residue":507},{"from_index":869,"to_index":1237,"sum":142990,"residue":594},{"from_index":1237,"to_index":1605,"sum":128223,"residue":507},{"from_index":1605,"to_index":1973,"sum":133081,"residue":227},{"from_index":1973,"to_index":133,"sum":125654,"residue":140}],"minimal_cycle":[227,507,594,507,227,140],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":227,"start_interval_clock_positions":[133,501],"circle_positions":734,"cycle_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":[134,502,870,1238,1606,1974],"clock_positions":[134,502,870,1238,1606,1974],"native_values":[79,655,446,655,79,288],"rotation_degrees":21.847826086956523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,655,446,655,79,288],"beta":{"interval_sums":[141094,135991,142929,128284,133387,125715],"interval_residues":[166,201,533,568,533,201],"display_cycle":[166,201,533,568,533,201],"intervals":[{"from_index":134,"to_index":502,"sum":141094,"residue":166},{"from_index":502,"to_index":870,"sum":135991,"residue":201},{"from_index":870,"to_index":1238,"sum":142929,"residue":533},{"from_index":1238,"to_index":1606,"sum":128284,"residue":568},{"from_index":1606,"to_index":1974,"sum":133387,"residue":533},{"from_index":1974,"to_index":134,"sum":125715,"residue":201}],"minimal_cycle":[166,201,533,568,533,201],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":166,"start_interval_clock_positions":[134,502],"circle_positions":734,"cycle_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":[135,503,871,1239,1607,1975],"clock_positions":[135,503,871,1239,1607,1975],"native_values":[428,673,61,306,61,673],"rotation_degrees":22.01086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,673,61,306,61,673],"beta":{"interval_sums":[141321,135764,143523,128057,133614,125121],"interval_residues":[393,708,393,341,26,341],"display_cycle":[393,708,393,341,26,341],"intervals":[{"from_index":135,"to_index":503,"sum":141321,"residue":393},{"from_index":503,"to_index":871,"sum":135764,"residue":708},{"from_index":871,"to_index":1239,"sum":143523,"residue":393},{"from_index":1239,"to_index":1607,"sum":128057,"residue":341},{"from_index":1607,"to_index":1975,"sum":133614,"residue":26},{"from_index":1975,"to_index":135,"sum":125121,"residue":341}],"minimal_cycle":[393,708,393,341,26,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":393,"start_interval_clock_positions":[135,503],"circle_positions":734,"cycle_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":[136,504,872,1240,1608,1976],"clock_positions":[136,504,872,1240,1608,1976],"native_values":[507,594,507,227,140,227],"rotation_degrees":22.17391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[507,594,507,227,140,227],"beta":{"interval_sums":[141487,135231,143322,127891,134147,125322],"interval_residues":[559,175,192,175,559,542],"display_cycle":[559,175,192,175,559,542],"intervals":[{"from_index":136,"to_index":504,"sum":141487,"residue":559},{"from_index":504,"to_index":872,"sum":135231,"residue":175},{"from_index":872,"to_index":1240,"sum":143322,"residue":192},{"from_index":1240,"to_index":1608,"sum":127891,"residue":175},{"from_index":1608,"to_index":1976,"sum":134147,"residue":559},{"from_index":1976,"to_index":136,"sum":125322,"residue":542}],"minimal_cycle":[559,175,192,175,559,542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":559,"start_interval_clock_positions":[136,504],"circle_positions":734,"cycle_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":[137,505,873,1241,1609,1977],"clock_positions":[137,505,873,1241,1609,1977],"native_values":[201,533,568,533,201,166],"rotation_degrees":22.33695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[201,533,568,533,201,166],"beta":{"interval_sums":[141880,135205,142981,127498,134173,125663],"interval_residues":[218,149,585,516,585,149],"display_cycle":[218,149,585,516,585,149],"intervals":[{"from_index":137,"to_index":505,"sum":141880,"residue":218},{"from_index":505,"to_index":873,"sum":135205,"residue":149},{"from_index":873,"to_index":1241,"sum":142981,"residue":585},{"from_index":1241,"to_index":1609,"sum":127498,"residue":516},{"from_index":1609,"to_index":1977,"sum":134173,"residue":585},{"from_index":1977,"to_index":137,"sum":125663,"residue":149}],"minimal_cycle":[218,149,585,516,585,149],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":218,"start_interval_clock_positions":[137,505],"circle_positions":734,"cycle_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":[138,506,874,1242,1610,1978],"clock_positions":[138,506,874,1242,1610,1978],"native_values":[708,393,341,26,341,393],"rotation_degrees":22.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[708,393,341,26,341,393],"beta":{"interval_sums":[141705,135380,143173,127673,133998,125471],"interval_residues":[43,324,43,691,410,691],"display_cycle":[43,324,43,691,410,691],"intervals":[{"from_index":138,"to_index":506,"sum":141705,"residue":43},{"from_index":506,"to_index":874,"sum":135380,"residue":324},{"from_index":874,"to_index":1242,"sum":143173,"residue":43},{"from_index":1242,"to_index":1610,"sum":127673,"residue":691},{"from_index":1610,"to_index":1978,"sum":133998,"residue":410},{"from_index":1978,"to_index":138,"sum":125471,"residue":691}],"minimal_cycle":[43,324,43,691,410,691],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":43,"start_interval_clock_positions":[138,506],"circle_positions":734,"cycle_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":[139,507,875,1243,1611,1979],"clock_positions":[139,507,875,1243,1611,1979],"native_values":[175,192,175,559,542,559],"rotation_degrees":22.66304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[175,192,175,559,542,559],"beta":{"interval_sums":[141923,135529,143024,127455,133849,125620],"interval_residues":[261,473,628,473,261,106],"display_cycle":[261,473,628,473,261,106],"intervals":[{"from_index":139,"to_index":507,"sum":141923,"residue":261},{"from_index":507,"to_index":875,"sum":135529,"residue":473},{"from_index":875,"to_index":1243,"sum":143024,"residue":628},{"from_index":1243,"to_index":1611,"sum":127455,"residue":473},{"from_index":1611,"to_index":1979,"sum":133849,"residue":261},{"from_index":1979,"to_index":139,"sum":125620,"residue":106}],"minimal_cycle":[261,473,628,473,261,106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":261,"start_interval_clock_positions":[139,507],"circle_positions":734,"cycle_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":[140,508,876,1244,1612,1980],"clock_positions":[140,508,876,1244,1612,1980],"native_values":[149,585,516,585,149,218],"rotation_degrees":22.82608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,585,516,585,149,218],"beta":{"interval_sums":[141966,135119,143067,127412,134259,125577],"interval_residues":[304,63,671,430,671,63],"display_cycle":[304,63,671,430,671,63],"intervals":[{"from_index":140,"to_index":508,"sum":141966,"residue":304},{"from_index":508,"to_index":876,"sum":135119,"residue":63},{"from_index":876,"to_index":1244,"sum":143067,"residue":671},{"from_index":1244,"to_index":1612,"sum":127412,"residue":430},{"from_index":1612,"to_index":1980,"sum":134259,"residue":671},{"from_index":1980,"to_index":140,"sum":125577,"residue":63}],"minimal_cycle":[304,63,671,430,671,63],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":304,"start_interval_clock_positions":[140,508],"circle_positions":734,"cycle_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":[141,509,877,1245,1613,1981],"clock_positions":[141,509,877,1245,1613,1981],"native_values":[324,43,691,410,691,43],"rotation_degrees":22.98913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[324,43,691,410,691,43],"beta":{"interval_sums":[142227,135592,142961,127151,133786,125683],"interval_residues":[565,536,565,169,198,169],"display_cycle":[565,536,565,169,198,169],"intervals":[{"from_index":141,"to_index":509,"sum":142227,"residue":565},{"from_index":509,"to_index":877,"sum":135592,"residue":536},{"from_index":877,"to_index":1245,"sum":142961,"residue":565},{"from_index":1245,"to_index":1613,"sum":127151,"residue":169},{"from_index":1613,"to_index":1981,"sum":133786,"residue":198},{"from_index":1981,"to_index":141,"sum":125683,"residue":169}],"minimal_cycle":[565,536,565,169,198,169],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":565,"start_interval_clock_positions":[141,509],"circle_positions":734,"cycle_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":[142,510,878,1246,1614,1982],"clock_positions":[142,510,878,1246,1614,1982],"native_values":[473,628,473,261,106,261],"rotation_degrees":23.152173913043477,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,628,473,261,106,261],"beta":{"interval_sums":[141797,135655,142898,127581,133723,125746],"interval_residues":[135,599,502,599,135,232],"display_cycle":[135,599,502,599,135,232],"intervals":[{"from_index":142,"to_index":510,"sum":141797,"residue":135},{"from_index":510,"to_index":878,"sum":135655,"residue":599},{"from_index":878,"to_index":1246,"sum":142898,"residue":502},{"from_index":1246,"to_index":1614,"sum":127581,"residue":599},{"from_index":1614,"to_index":1982,"sum":133723,"residue":135},{"from_index":1982,"to_index":142,"sum":125746,"residue":232}],"minimal_cycle":[135,599,502,599,135,232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":135,"start_interval_clock_positions":[142,510],"circle_positions":734,"cycle_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":[143,511,879,1247,1615,1983],"clock_positions":[143,511,879,1247,1615,1983],"native_values":[63,671,430,671,63,304],"rotation_degrees":23.315217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[63,671,430,671,63,304],"beta":{"interval_sums":[142362,135457,142729,127016,133921,125915],"interval_residues":[700,401,333,34,333,401],"display_cycle":[700,401,333,34,333,401],"intervals":[{"from_index":143,"to_index":511,"sum":142362,"residue":700},{"from_index":511,"to_index":879,"sum":135457,"residue":401},{"from_index":879,"to_index":1247,"sum":142729,"residue":333},{"from_index":1247,"to_index":1615,"sum":127016,"residue":34},{"from_index":1615,"to_index":1983,"sum":133921,"residue":333},{"from_index":1983,"to_index":143,"sum":125915,"residue":401}],"minimal_cycle":[700,401,333,34,333,401],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[143,511],"circle_positions":734,"cycle_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":[144,512,880,1248,1616,1984],"clock_positions":[144,512,880,1248,1616,1984],"native_values":[536,565,169,198,169,565],"rotation_degrees":23.47826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[536,565,169,198,169,565],"beta":{"interval_sums":[142497,135322,143231,126881,134056,125413],"interval_residues":[101,266,101,633,468,633],"display_cycle":[101,266,101,633,468,633],"intervals":[{"from_index":144,"to_index":512,"sum":142497,"residue":101},{"from_index":512,"to_index":880,"sum":135322,"residue":266},{"from_index":880,"to_index":1248,"sum":143231,"residue":101},{"from_index":1248,"to_index":1616,"sum":126881,"residue":633},{"from_index":1616,"to_index":1984,"sum":134056,"residue":468},{"from_index":1984,"to_index":144,"sum":125413,"residue":633}],"minimal_cycle":[101,266,101,633,468,633],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":101,"start_interval_clock_positions":[144,512],"circle_positions":734,"cycle_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":[145,513,881,1249,1617,1985],"clock_positions":[145,513,881,1249,1617,1985],"native_values":[599,502,599,135,232,135],"rotation_degrees":23.641304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[599,502,599,135,232,135],"beta":{"interval_sums":[142463,134989,142830,126915,134389,125814],"interval_residues":[67,667,434,667,67,300],"display_cycle":[67,667,434,667,67,300],"intervals":[{"from_index":145,"to_index":513,"sum":142463,"residue":67},{"from_index":513,"to_index":881,"sum":134989,"residue":667},{"from_index":881,"to_index":1249,"sum":142830,"residue":434},{"from_index":1249,"to_index":1617,"sum":126915,"residue":667},{"from_index":1617,"to_index":1985,"sum":134389,"residue":67},{"from_index":1985,"to_index":145,"sum":125814,"residue":300}],"minimal_cycle":[67,667,434,667,67,300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":67,"start_interval_clock_positions":[145,513],"circle_positions":734,"cycle_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":[146,514,882,1250,1618,1986],"clock_positions":[146,514,882,1250,1618,1986],"native_values":[401,333,34,333,401,700],"rotation_degrees":23.804347826086957,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[401,333,34,333,401,700],"beta":{"interval_sums":[142564,135255,142931,126814,134123,125713],"interval_residues":[168,199,535,566,535,199],"display_cycle":[168,199,535,566,535,199],"intervals":[{"from_index":146,"to_index":514,"sum":142564,"residue":168},{"from_index":514,"to_index":882,"sum":135255,"residue":199},{"from_index":882,"to_index":1250,"sum":142931,"residue":535},{"from_index":1250,"to_index":1618,"sum":126814,"residue":566},{"from_index":1618,"to_index":1986,"sum":134123,"residue":535},{"from_index":1986,"to_index":146,"sum":125713,"residue":199}],"minimal_cycle":[168,199,535,566,535,199],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":168,"start_interval_clock_positions":[146,514],"circle_positions":734,"cycle_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":[147,515,883,1251,1619,1987],"clock_positions":[147,515,883,1251,1619,1987],"native_values":[266,101,633,468,633,101],"rotation_degrees":23.967391304347824,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[266,101,633,468,633,101],"beta":{"interval_sums":[142631,135188,142631,126747,134190,126013],"interval_residues":[235,132,235,499,602,499],"display_cycle":[235,132,235,499,602,499],"intervals":[{"from_index":147,"to_index":515,"sum":142631,"residue":235},{"from_index":515,"to_index":883,"sum":135188,"residue":132},{"from_index":883,"to_index":1251,"sum":142631,"residue":235},{"from_index":1251,"to_index":1619,"sum":126747,"residue":499},{"from_index":1619,"to_index":1987,"sum":134190,"residue":602},{"from_index":1987,"to_index":147,"sum":126013,"residue":499}],"minimal_cycle":[235,132,235,499,602,499],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":235,"start_interval_clock_positions":[147,515],"circle_positions":734,"cycle_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":[148,516,884,1252,1620,1988],"clock_positions":[148,516,884,1252,1620,1988],"native_values":[667,434,667,67,300,67],"rotation_degrees":24.130434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[667,434,667,67,300,67],"beta":{"interval_sums":[142065,135387,142432,127313,133991,126212],"interval_residues":[403,331,36,331,403,698],"display_cycle":[403,331,36,331,403,698],"intervals":[{"from_index":148,"to_index":516,"sum":142065,"residue":403},{"from_index":516,"to_index":884,"sum":135387,"residue":331},{"from_index":884,"to_index":1252,"sum":142432,"residue":36},{"from_index":1252,"to_index":1620,"sum":127313,"residue":331},{"from_index":1620,"to_index":1988,"sum":133991,"residue":403},{"from_index":1988,"to_index":148,"sum":126212,"residue":698}],"minimal_cycle":[403,331,36,331,403,698],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":403,"start_interval_clock_positions":[148,516],"circle_positions":734,"cycle_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":[149,517,885,1253,1621,1989],"clock_positions":[149,517,885,1253,1621,1989],"native_values":[199,535,566,535,199,168],"rotation_degrees":24.293478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[199,535,566,535,199,168],"beta":{"interval_sums":[142300,135519,141933,127078,133859,126711],"interval_residues":[638,463,271,96,271,463],"display_cycle":[638,463,271,96,271,463],"intervals":[{"from_index":149,"to_index":517,"sum":142300,"residue":638},{"from_index":517,"to_index":885,"sum":135519,"residue":463},{"from_index":885,"to_index":1253,"sum":141933,"residue":271},{"from_index":1253,"to_index":1621,"sum":127078,"residue":96},{"from_index":1621,"to_index":1989,"sum":133859,"residue":271},{"from_index":1989,"to_index":149,"sum":126711,"residue":463}],"minimal_cycle":[638,463,271,96,271,463],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[149,517],"circle_positions":734,"cycle_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":[150,518,886,1254,1622,1990],"clock_positions":[150,518,886,1254,1622,1990],"native_values":[132,235,499,602,499,235],"rotation_degrees":24.456521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,235,499,602,499,235],"beta":{"interval_sums":[142703,135850,141969,126675,133528,126675],"interval_residues":[307,60,307,427,674,427],"display_cycle":[307,60,307,427,674,427],"intervals":[{"from_index":150,"to_index":518,"sum":142703,"residue":307},{"from_index":518,"to_index":886,"sum":135850,"residue":60},{"from_index":886,"to_index":1254,"sum":141969,"residue":307},{"from_index":1254,"to_index":1622,"sum":126675,"residue":427},{"from_index":1622,"to_index":1990,"sum":133528,"residue":674},{"from_index":1990,"to_index":150,"sum":126675,"residue":427}],"minimal_cycle":[307,60,307,427,674,427],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":307,"start_interval_clock_positions":[150,518],"circle_positions":734,"cycle_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":[151,519,887,1255,1623,1991],"clock_positions":[151,519,887,1255,1623,1991],"native_values":[331,36,331,403,698,403],"rotation_degrees":24.619565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,36,331,403,698,403],"beta":{"interval_sums":[142607,136313,142240,126771,133065,126404],"interval_residues":[211,523,578,523,211,156],"display_cycle":[211,523,578,523,211,156],"intervals":[{"from_index":151,"to_index":519,"sum":142607,"residue":211},{"from_index":519,"to_index":887,"sum":136313,"residue":523},{"from_index":887,"to_index":1255,"sum":142240,"residue":578},{"from_index":1255,"to_index":1623,"sum":126771,"residue":523},{"from_index":1623,"to_index":1991,"sum":133065,"residue":211},{"from_index":1991,"to_index":151,"sum":126404,"residue":156}],"minimal_cycle":[211,523,578,523,211,156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":211,"start_interval_clock_positions":[151,519],"circle_positions":734,"cycle_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":[152,520,888,1256,1624,1992],"clock_positions":[152,520,888,1256,1624,1992],"native_values":[463,271,96,271,463,638],"rotation_degrees":24.782608695652176,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[463,271,96,271,463,638],"beta":{"interval_sums":[142180,136373,142547,127198,133005,126097],"interval_residues":[518,583,151,216,151,583],"display_cycle":[518,583,151,216,151,583],"intervals":[{"from_index":152,"to_index":520,"sum":142180,"residue":518},{"from_index":520,"to_index":888,"sum":136373,"residue":583},{"from_index":888,"to_index":1256,"sum":142547,"residue":151},{"from_index":1256,"to_index":1624,"sum":127198,"residue":216},{"from_index":1624,"to_index":1992,"sum":133005,"residue":151},{"from_index":1992,"to_index":152,"sum":126097,"residue":583}],"minimal_cycle":[518,583,151,216,151,583],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[152,520],"circle_positions":734,"cycle_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":[153,521,889,1257,1625,1993],"clock_positions":[153,521,889,1257,1625,1993],"native_values":[60,307,427,674,427,307],"rotation_degrees":24.945652173913043,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,307,427,674,427,307],"beta":{"interval_sums":[142391,136162,142391,126987,133216,126253],"interval_residues":[729,372,729,5,362,5],"display_cycle":[729,372,729,5,362,5],"intervals":[{"from_index":153,"to_index":521,"sum":142391,"residue":729},{"from_index":521,"to_index":889,"sum":136162,"residue":372},{"from_index":889,"to_index":1257,"sum":142391,"residue":729},{"from_index":1257,"to_index":1625,"sum":126987,"residue":5},{"from_index":1625,"to_index":1993,"sum":133216,"residue":362},{"from_index":1993,"to_index":153,"sum":126253,"residue":5}],"minimal_cycle":[729,372,729,5,362,5],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":729,"start_interval_clock_positions":[153,521],"circle_positions":734,"cycle_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":[154,522,890,1258,1626,1994],"clock_positions":[154,522,890,1258,1626,1994],"native_values":[523,578,523,211,156,211],"rotation_degrees":25.108695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,578,523,211,156,211],"beta":{"interval_sums":[142175,136011,142542,127203,133367,126102],"interval_residues":[513,221,146,221,513,588],"display_cycle":[513,221,146,221,513,588],"intervals":[{"from_index":154,"to_index":522,"sum":142175,"residue":513},{"from_index":522,"to_index":890,"sum":136011,"residue":221},{"from_index":890,"to_index":1258,"sum":142542,"residue":146},{"from_index":1258,"to_index":1626,"sum":127203,"residue":221},{"from_index":1626,"to_index":1994,"sum":133367,"residue":513},{"from_index":1994,"to_index":154,"sum":126102,"residue":588}],"minimal_cycle":[513,221,146,221,513,588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":513,"start_interval_clock_positions":[154,522],"circle_positions":734,"cycle_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":[155,523,891,1259,1627,1995],"clock_positions":[155,523,891,1259,1627,1995],"native_values":[583,151,216,151,583,518],"rotation_degrees":25.27173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[583,151,216,151,583,518],"beta":{"interval_sums":[142170,136383,142537,127208,132995,126107],"interval_residues":[508,593,141,226,141,593],"display_cycle":[508,593,141,226,141,593],"intervals":[{"from_index":155,"to_index":523,"sum":142170,"residue":508},{"from_index":523,"to_index":891,"sum":136383,"residue":593},{"from_index":891,"to_index":1259,"sum":142537,"residue":141},{"from_index":1259,"to_index":1627,"sum":127208,"residue":226},{"from_index":1627,"to_index":1995,"sum":132995,"residue":141},{"from_index":1995,"to_index":155,"sum":126107,"residue":593}],"minimal_cycle":[508,593,141,226,141,593],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":508,"start_interval_clock_positions":[155,523],"circle_positions":734,"cycle_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":[156,524,892,1260,1628,1996],"clock_positions":[156,524,892,1260,1628,1996],"native_values":[372,729,5,362,5,729],"rotation_degrees":25.434782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[372,729,5,362,5,729],"beta":{"interval_sums":[141949,135870,142683,127429,133508,125961],"interval_residues":[287,80,287,447,654,447],"display_cycle":[287,80,287,447,654,447],"intervals":[{"from_index":156,"to_index":524,"sum":141949,"residue":287},{"from_index":524,"to_index":892,"sum":135870,"residue":80},{"from_index":892,"to_index":1260,"sum":142683,"residue":287},{"from_index":1260,"to_index":1628,"sum":127429,"residue":447},{"from_index":1628,"to_index":1996,"sum":133508,"residue":654},{"from_index":1996,"to_index":156,"sum":125961,"residue":447}],"minimal_cycle":[287,80,287,447,654,447],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":287,"start_interval_clock_positions":[156,524],"circle_positions":734,"cycle_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":[157,525,893,1261,1629,1997],"clock_positions":[157,525,893,1261,1629,1997],"native_values":[221,146,221,513,588,513],"rotation_degrees":25.597826086956523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,146,221,513,588,513],"beta":{"interval_sums":[142457,135729,142824,126921,133649,125820],"interval_residues":[61,673,428,673,61,306],"display_cycle":[61,673,428,673,61,306],"intervals":[{"from_index":157,"to_index":525,"sum":142457,"residue":61},{"from_index":525,"to_index":893,"sum":135729,"residue":673},{"from_index":893,"to_index":1261,"sum":142824,"residue":428},{"from_index":1261,"to_index":1629,"sum":126921,"residue":673},{"from_index":1629,"to_index":1997,"sum":133649,"residue":61},{"from_index":1997,"to_index":157,"sum":125820,"residue":306}],"minimal_cycle":[61,673,428,673,61,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":61,"start_interval_clock_positions":[157,525],"circle_positions":734,"cycle_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":[158,526,894,1262,1630,1998],"clock_positions":[158,526,894,1262,1630,1998],"native_values":[593,141,226,141,593,508],"rotation_degrees":25.76086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[593,141,226,141,593,508],"beta":{"interval_sums":[142010,135809,143111,127368,133569,125533],"interval_residues":[348,19,715,386,715,19],"display_cycle":[348,19,715,386,715,19],"intervals":[{"from_index":158,"to_index":526,"sum":142010,"residue":348},{"from_index":526,"to_index":894,"sum":135809,"residue":19},{"from_index":894,"to_index":1262,"sum":143111,"residue":715},{"from_index":1262,"to_index":1630,"sum":127368,"residue":386},{"from_index":1630,"to_index":1998,"sum":133569,"residue":715},{"from_index":1998,"to_index":158,"sum":125533,"residue":19}],"minimal_cycle":[348,19,715,386,715,19],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[158,526],"circle_positions":734,"cycle_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":[159,527,895,1263,1631,1999],"clock_positions":[159,527,895,1263,1631,1999],"native_values":[80,287,447,654,447,287],"rotation_degrees":25.92391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[80,287,447,654,447,287],"beta":{"interval_sums":[142071,135748,142805,127307,133630,125839],"interval_residues":[409,692,409,325,42,325],"display_cycle":[409,692,409,325,42,325],"intervals":[{"from_index":159,"to_index":527,"sum":142071,"residue":409},{"from_index":527,"to_index":895,"sum":135748,"residue":692},{"from_index":895,"to_index":1263,"sum":142805,"residue":409},{"from_index":1263,"to_index":1631,"sum":127307,"residue":325},{"from_index":1631,"to_index":1999,"sum":133630,"residue":42},{"from_index":1999,"to_index":159,"sum":125839,"residue":325}],"minimal_cycle":[409,692,409,325,42,325],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":409,"start_interval_clock_positions":[159,527],"circle_positions":734,"cycle_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":[160,528,896,1264,1632,2000],"clock_positions":[160,528,896,1264,1632,2000],"native_values":[673,428,673,61,306,61],"rotation_degrees":26.08695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[673,428,673,61,306,61],"beta":{"interval_sums":[141685,135767,142786,127693,133611,125858],"interval_residues":[23,711,390,711,23,344],"display_cycle":[23,711,390,711,23,344],"intervals":[{"from_index":160,"to_index":528,"sum":141685,"residue":23},{"from_index":528,"to_index":896,"sum":135767,"residue":711},{"from_index":896,"to_index":1264,"sum":142786,"residue":390},{"from_index":1264,"to_index":1632,"sum":127693,"residue":711},{"from_index":1632,"to_index":2000,"sum":133611,"residue":23},{"from_index":2000,"to_index":160,"sum":125858,"residue":344}],"minimal_cycle":[23,711,390,711,23,344],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":23,"start_interval_clock_positions":[160,528],"circle_positions":734,"cycle_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":[161,529,897,1265,1633,2001],"clock_positions":[161,529,897,1265,1633,2001],"native_values":[19,715,386,715,19,348],"rotation_degrees":26.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[19,715,386,715,19,348],"beta":{"interval_sums":[142094,135725,142461,127284,133653,126183],"interval_residues":[432,669,65,302,65,669],"display_cycle":[432,669,65,302,65,669],"intervals":[{"from_index":161,"to_index":529,"sum":142094,"residue":432},{"from_index":529,"to_index":897,"sum":135725,"residue":669},{"from_index":897,"to_index":1265,"sum":142461,"residue":65},{"from_index":1265,"to_index":1633,"sum":127284,"residue":302},{"from_index":1633,"to_index":2001,"sum":133653,"residue":65},{"from_index":2001,"to_index":161,"sum":126183,"residue":669}],"minimal_cycle":[432,669,65,302,65,669],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":432,"start_interval_clock_positions":[161,529],"circle_positions":734,"cycle_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":[162,530,898,1266,1634,2002],"clock_positions":[162,530,898,1266,1634,2002],"native_values":[692,409,325,42,325,409],"rotation_degrees":26.41304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[692,409,325,42,325,409],"beta":{"interval_sums":[142117,135702,142851,127261,133676,125793],"interval_residues":[455,646,455,279,88,279],"display_cycle":[455,646,455,279,88,279],"intervals":[{"from_index":162,"to_index":530,"sum":142117,"residue":455},{"from_index":530,"to_index":898,"sum":135702,"residue":646},{"from_index":898,"to_index":1266,"sum":142851,"residue":455},{"from_index":1266,"to_index":1634,"sum":127261,"residue":279},{"from_index":1634,"to_index":2002,"sum":133676,"residue":88},{"from_index":2002,"to_index":162,"sum":125793,"residue":279}],"minimal_cycle":[455,646,455,279,88,279],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":455,"start_interval_clock_positions":[162,530],"circle_positions":734,"cycle_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":[163,531,899,1267,1635,2003],"clock_positions":[163,531,899,1267,1635,2003],"native_values":[711,390,711,23,344,23],"rotation_degrees":26.57608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[711,390,711,23,344,23],"beta":{"interval_sums":[141815,135637,142182,127563,133741,126462],"interval_residues":[153,581,520,581,153,214],"display_cycle":[153,581,520,581,153,214],"intervals":[{"from_index":163,"to_index":531,"sum":141815,"residue":153},{"from_index":531,"to_index":899,"sum":135637,"residue":581},{"from_index":899,"to_index":1267,"sum":142182,"residue":520},{"from_index":1267,"to_index":1635,"sum":127563,"residue":581},{"from_index":1635,"to_index":2003,"sum":133741,"residue":153},{"from_index":2003,"to_index":163,"sum":126462,"residue":214}],"minimal_cycle":[153,581,520,581,153,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":153,"start_interval_clock_positions":[163,531],"circle_positions":734,"cycle_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":[164,532,900,1268,1636,2004],"clock_positions":[164,532,900,1268,1636,2004],"native_values":[669,65,302,65,669,432],"rotation_degrees":26.73913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,65,302,65,669,432],"beta":{"interval_sums":[141536,136283,141903,127842,133095,126741],"interval_residues":[608,493,241,126,241,493],"display_cycle":[608,493,241,126,241,493],"intervals":[{"from_index":164,"to_index":532,"sum":141536,"residue":608},{"from_index":532,"to_index":900,"sum":136283,"residue":493},{"from_index":900,"to_index":1268,"sum":141903,"residue":241},{"from_index":1268,"to_index":1636,"sum":127842,"residue":126},{"from_index":1636,"to_index":2004,"sum":133095,"residue":241},{"from_index":2004,"to_index":164,"sum":126741,"residue":493}],"minimal_cycle":[608,493,241,126,241,493],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":608,"start_interval_clock_positions":[164,532],"circle_positions":734,"cycle_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":[165,533,901,1269,1637,2005],"clock_positions":[165,533,901,1269,1637,2005],"native_values":[646,455,279,88,279,455],"rotation_degrees":26.902173913043477,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[646,455,279,88,279,455],"beta":{"interval_sums":[140955,136130,141689,128423,133248,126955],"interval_residues":[27,340,27,707,394,707],"display_cycle":[27,340,27,707,394,707],"intervals":[{"from_index":165,"to_index":533,"sum":140955,"residue":27},{"from_index":533,"to_index":901,"sum":136130,"residue":340},{"from_index":901,"to_index":1269,"sum":141689,"residue":27},{"from_index":1269,"to_index":1637,"sum":128423,"residue":707},{"from_index":1637,"to_index":2005,"sum":133248,"residue":394},{"from_index":2005,"to_index":165,"sum":126955,"residue":707}],"minimal_cycle":[27,340,27,707,394,707],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":27,"start_interval_clock_positions":[165,533],"circle_positions":734,"cycle_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":[166,534,902,1270,1638,2006],"clock_positions":[166,534,902,1270,1638,2006],"native_values":[581,520,581,153,214,153],"rotation_degrees":27.065217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[581,520,581,153,214,153],"beta":{"interval_sums":[140829,135889,141196,128549,133489,127448],"interval_residues":[635,99,268,99,635,466],"display_cycle":[635,99,268,99,635,466],"intervals":[{"from_index":166,"to_index":534,"sum":140829,"residue":635},{"from_index":534,"to_index":902,"sum":135889,"residue":99},{"from_index":902,"to_index":1270,"sum":141196,"residue":268},{"from_index":1270,"to_index":1638,"sum":128549,"residue":99},{"from_index":1638,"to_index":2006,"sum":133489,"residue":635},{"from_index":2006,"to_index":166,"sum":127448,"residue":466}],"minimal_cycle":[635,99,268,99,635,466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":635,"start_interval_clock_positions":[166,534],"circle_positions":734,"cycle_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":[167,535,903,1271,1639,2007],"clock_positions":[167,535,903,1271,1639,2007],"native_values":[493,241,126,241,493,608],"rotation_degrees":27.22826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[493,241,126,241,493,608],"beta":{"interval_sums":[140856,136229,141223,128522,133149,127421],"interval_residues":[662,439,295,72,295,439],"display_cycle":[662,439,295,72,295,439],"intervals":[{"from_index":167,"to_index":535,"sum":140856,"residue":662},{"from_index":535,"to_index":903,"sum":136229,"residue":439},{"from_index":903,"to_index":1271,"sum":141223,"residue":295},{"from_index":1271,"to_index":1639,"sum":128522,"residue":72},{"from_index":1639,"to_index":2007,"sum":133149,"residue":295},{"from_index":2007,"to_index":167,"sum":127421,"residue":439}],"minimal_cycle":[662,439,295,72,295,439],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":662,"start_interval_clock_positions":[167,535],"circle_positions":734,"cycle_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":[168,536,904,1272,1640,2008],"clock_positions":[168,536,904,1272,1640,2008],"native_values":[340,27,707,394,707,27],"rotation_degrees":27.391304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[340,27,707,394,707,27],"beta":{"interval_sums":[140757,136328,140757,128621,133050,127887],"interval_residues":[563,538,563,171,196,171],"display_cycle":[563,538,563,171,196,171],"intervals":[{"from_index":168,"to_index":536,"sum":140757,"residue":563},{"from_index":536,"to_index":904,"sum":136328,"residue":538},{"from_index":904,"to_index":1272,"sum":140757,"residue":563},{"from_index":1272,"to_index":1640,"sum":128621,"residue":171},{"from_index":1640,"to_index":2008,"sum":133050,"residue":196},{"from_index":2008,"to_index":168,"sum":127887,"residue":171}],"minimal_cycle":[563,538,563,171,196,171],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":563,"start_interval_clock_positions":[168,536],"circle_positions":734,"cycle_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":[169,537,905,1273,1641,2009],"clock_positions":[169,537,905,1273,1641,2009],"native_values":[99,268,99,635,466,635],"rotation_degrees":27.554347826086957,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[99,268,99,635,466,635],"beta":{"interval_sums":[140685,136767,141052,128693,132611,127592],"interval_residues":[491,243,124,243,491,610],"display_cycle":[491,243,124,243,491,610],"intervals":[{"from_index":169,"to_index":537,"sum":140685,"residue":491},{"from_index":537,"to_index":905,"sum":136767,"residue":243},{"from_index":905,"to_index":1273,"sum":141052,"residue":124},{"from_index":1273,"to_index":1641,"sum":128693,"residue":243},{"from_index":1641,"to_index":2009,"sum":132611,"residue":491},{"from_index":2009,"to_index":169,"sum":127592,"residue":610}],"minimal_cycle":[491,243,124,243,491,610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":491,"start_interval_clock_positions":[169,537],"circle_positions":734,"cycle_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":[170,538,906,1274,1642,2010],"clock_positions":[170,538,906,1274,1642,2010],"native_values":[439,295,72,295,439,662],"rotation_degrees":27.717391304347824,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[439,295,72,295,439,662],"beta":{"interval_sums":[140514,136571,141615,128864,132807,127029],"interval_residues":[320,47,687,414,687,47],"display_cycle":[320,47,687,414,687,47],"intervals":[{"from_index":170,"to_index":538,"sum":140514,"residue":320},{"from_index":538,"to_index":906,"sum":136571,"residue":47},{"from_index":906,"to_index":1274,"sum":141615,"residue":687},{"from_index":1274,"to_index":1642,"sum":128864,"residue":414},{"from_index":1642,"to_index":2010,"sum":132807,"residue":687},{"from_index":2010,"to_index":170,"sum":127029,"residue":47}],"minimal_cycle":[320,47,687,414,687,47],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[170,538],"circle_positions":734,"cycle_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":[171,539,907,1275,1643,2011],"clock_positions":[171,539,907,1275,1643,2011],"native_values":[538,563,171,196,171,563],"rotation_degrees":27.880434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[538,563,171,196,171,563],"beta":{"interval_sums":[140271,136080,141739,129107,133298,126905],"interval_residues":[77,290,77,657,444,657],"display_cycle":[77,290,77,657,444,657],"intervals":[{"from_index":171,"to_index":539,"sum":140271,"residue":77},{"from_index":539,"to_index":907,"sum":136080,"residue":290},{"from_index":907,"to_index":1275,"sum":141739,"residue":77},{"from_index":1275,"to_index":1643,"sum":129107,"residue":657},{"from_index":1643,"to_index":2011,"sum":133298,"residue":444},{"from_index":2011,"to_index":171,"sum":126905,"residue":657}],"minimal_cycle":[77,290,77,657,444,657],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":77,"start_interval_clock_positions":[171,539],"circle_positions":734,"cycle_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":[172,540,908,1276,1644,2012],"clock_positions":[172,540,908,1276,1644,2012],"native_values":[243,124,243,491,610,491],"rotation_degrees":28.043478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,124,243,491,610,491],"beta":{"interval_sums":[140591,136127,141692,128787,133251,126952],"interval_residues":[397,337,30,337,397,704],"display_cycle":[397,337,30,337,397,704],"intervals":[{"from_index":172,"to_index":540,"sum":140591,"residue":397},{"from_index":540,"to_index":908,"sum":136127,"residue":337},{"from_index":908,"to_index":1276,"sum":141692,"residue":30},{"from_index":1276,"to_index":1644,"sum":128787,"residue":337},{"from_index":1644,"to_index":2012,"sum":133251,"residue":397},{"from_index":2012,"to_index":172,"sum":126952,"residue":704}],"minimal_cycle":[397,337,30,337,397,704],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":397,"start_interval_clock_positions":[172,540],"circle_positions":734,"cycle_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":[173,541,909,1277,1645,2013],"clock_positions":[173,541,909,1277,1645,2013],"native_values":[47,687,414,687,47,320],"rotation_degrees":28.206521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,687,414,687,47,320],"beta":{"interval_sums":[140668,135683,141769,128710,133695,126875],"interval_residues":[474,627,107,260,107,627],"display_cycle":[474,627,107,260,107,627],"intervals":[{"from_index":173,"to_index":541,"sum":140668,"residue":474},{"from_index":541,"to_index":909,"sum":135683,"residue":627},{"from_index":909,"to_index":1277,"sum":141769,"residue":107},{"from_index":1277,"to_index":1645,"sum":128710,"residue":260},{"from_index":1645,"to_index":2013,"sum":133695,"residue":107},{"from_index":2013,"to_index":173,"sum":126875,"residue":627}],"minimal_cycle":[474,627,107,260,107,627],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[173,541],"circle_positions":734,"cycle_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":[174,542,910,1278,1646,2014],"clock_positions":[174,542,910,1278,1646,2014],"native_values":[290,77,657,444,657,77],"rotation_degrees":28.369565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[290,77,657,444,657,77],"beta":{"interval_sums":[141065,136020,141799,128313,133358,126845],"interval_residues":[137,230,137,597,504,597],"display_cycle":[137,230,137,597,504,597],"intervals":[{"from_index":174,"to_index":542,"sum":141065,"residue":137},{"from_index":542,"to_index":910,"sum":136020,"residue":230},{"from_index":910,"to_index":1278,"sum":141799,"residue":137},{"from_index":1278,"to_index":1646,"sum":128313,"residue":597},{"from_index":1646,"to_index":2014,"sum":133358,"residue":504},{"from_index":2014,"to_index":174,"sum":126845,"residue":597}],"minimal_cycle":[137,230,137,597,504,597],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":137,"start_interval_clock_positions":[174,542],"circle_positions":734,"cycle_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":[175,543,911,1279,1647,2015],"clock_positions":[175,543,911,1279,1647,2015],"native_values":[337,30,337,397,704,397],"rotation_degrees":28.532608695652176,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,30,337,397,704,397],"beta":{"interval_sums":[140805,136647,141906,128573,132731,126738],"interval_residues":[611,123,244,123,611,490],"display_cycle":[611,123,244,123,611,490],"intervals":[{"from_index":175,"to_index":543,"sum":140805,"residue":611},{"from_index":543,"to_index":911,"sum":136647,"residue":123},{"from_index":911,"to_index":1279,"sum":141906,"residue":244},{"from_index":1279,"to_index":1647,"sum":128573,"residue":123},{"from_index":1647,"to_index":2015,"sum":132731,"residue":611},{"from_index":2015,"to_index":175,"sum":126738,"residue":490}],"minimal_cycle":[611,123,244,123,611,490],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":611,"start_interval_clock_positions":[175,543],"circle_positions":734,"cycle_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":[176,544,912,1280,1648,2016],"clock_positions":[176,544,912,1280,1648,2016],"native_values":[627,107,260,107,627,474],"rotation_degrees":28.695652173913043,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[627,107,260,107,627,474],"beta":{"interval_sums":[140208,136877,142043,129170,132501,126601],"interval_residues":[14,353,381,720,381,353],"display_cycle":[14,353,381,720,381,353],"intervals":[{"from_index":176,"to_index":544,"sum":140208,"residue":14},{"from_index":544,"to_index":912,"sum":136877,"residue":353},{"from_index":912,"to_index":1280,"sum":142043,"residue":381},{"from_index":1280,"to_index":1648,"sum":129170,"residue":720},{"from_index":1648,"to_index":2016,"sum":132501,"residue":381},{"from_index":2016,"to_index":176,"sum":126601,"residue":353}],"minimal_cycle":[14,353,381,720,381,353],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[176,544],"circle_positions":734,"cycle_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":[177,545,913,1281,1649,2017],"clock_positions":[177,545,913,1281,1649,2017],"native_values":[230,137,597,504,597,137],"rotation_degrees":28.858695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[230,137,597,504,597,137],"beta":{"interval_sums":[140085,137000,141553,129293,132378,127091],"interval_residues":[625,476,625,109,258,109],"display_cycle":[625,476,625,109,258,109],"intervals":[{"from_index":177,"to_index":545,"sum":140085,"residue":625},{"from_index":545,"to_index":913,"sum":137000,"residue":476},{"from_index":913,"to_index":1281,"sum":141553,"residue":625},{"from_index":1281,"to_index":1649,"sum":129293,"residue":109},{"from_index":1649,"to_index":2017,"sum":132378,"residue":258},{"from_index":2017,"to_index":177,"sum":127091,"residue":109}],"minimal_cycle":[625,476,625,109,258,109],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":625,"start_interval_clock_positions":[177,545],"circle_positions":734,"cycle_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":[178,546,914,1282,1650,2018],"clock_positions":[178,546,914,1282,1650,2018],"native_values":[123,244,123,611,490,611],"rotation_degrees":29.02173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,244,123,611,490,611],"beta":{"interval_sums":[140099,137353,141934,129279,132025,126710],"interval_residues":[639,95,272,95,639,462],"display_cycle":[639,95,272,95,639,462],"intervals":[{"from_index":178,"to_index":546,"sum":140099,"residue":639},{"from_index":546,"to_index":914,"sum":137353,"residue":95},{"from_index":914,"to_index":1282,"sum":141934,"residue":272},{"from_index":1282,"to_index":1650,"sum":129279,"residue":95},{"from_index":1650,"to_index":2018,"sum":132025,"residue":639},{"from_index":2018,"to_index":178,"sum":126710,"residue":462}],"minimal_cycle":[639,95,272,95,639,462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":639,"start_interval_clock_positions":[178,546],"circle_positions":734,"cycle_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":[179,547,915,1283,1651,2019],"clock_positions":[179,547,915,1283,1651,2019],"native_values":[353,381,720,381,353,14],"rotation_degrees":29.184782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[353,381,720,381,353,14],"beta":{"interval_sums":[139990,137095,141825,129388,132283,126819],"interval_residues":[530,571,163,204,163,571],"display_cycle":[530,571,163,204,163,571],"intervals":[{"from_index":179,"to_index":547,"sum":139990,"residue":530},{"from_index":547,"to_index":915,"sum":137095,"residue":571},{"from_index":915,"to_index":1283,"sum":141825,"residue":163},{"from_index":1283,"to_index":1651,"sum":129388,"residue":204},{"from_index":1651,"to_index":2019,"sum":132283,"residue":163},{"from_index":2019,"to_index":179,"sum":126819,"residue":571}],"minimal_cycle":[530,571,163,204,163,571],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[179,547],"circle_positions":734,"cycle_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":[180,548,916,1284,1652,2020],"clock_positions":[180,548,916,1284,1652,2020],"native_values":[476,625,109,258,109,625],"rotation_degrees":29.347826086956523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[476,625,109,258,109,625],"beta":{"interval_sums":[139895,137190,142097,129483,132188,126547],"interval_residues":[435,666,435,299,68,299],"display_cycle":[435,666,435,299,68,299],"intervals":[{"from_index":180,"to_index":548,"sum":139895,"residue":435},{"from_index":548,"to_index":916,"sum":137190,"residue":666},{"from_index":916,"to_index":1284,"sum":142097,"residue":435},{"from_index":1284,"to_index":1652,"sum":129483,"residue":299},{"from_index":1652,"to_index":2020,"sum":132188,"residue":68},{"from_index":2020,"to_index":180,"sum":126547,"residue":299}],"minimal_cycle":[435,666,435,299,68,299],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":435,"start_interval_clock_positions":[180,548],"circle_positions":734,"cycle_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":[181,549,917,1285,1653,2021],"clock_positions":[181,549,917,1285,1653,2021],"native_values":[95,272,95,639,462,639],"rotation_degrees":29.51086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,272,95,639,462,639],"beta":{"interval_sums":[140425,137027,142260,128953,132351,126384],"interval_residues":[231,503,598,503,231,136],"display_cycle":[231,503,598,503,231,136],"intervals":[{"from_index":181,"to_index":549,"sum":140425,"residue":231},{"from_index":549,"to_index":917,"sum":137027,"residue":503},{"from_index":917,"to_index":1285,"sum":142260,"residue":598},{"from_index":1285,"to_index":1653,"sum":128953,"residue":503},{"from_index":1653,"to_index":2021,"sum":132351,"residue":231},{"from_index":2021,"to_index":181,"sum":126384,"residue":136}],"minimal_cycle":[231,503,598,503,231,136],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":231,"start_interval_clock_positions":[181,549],"circle_positions":734,"cycle_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":[182,550,918,1286,1654,2022],"clock_positions":[182,550,918,1286,1654,2022],"native_values":[571,163,204,163,571,530],"rotation_degrees":29.67391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[571,163,204,163,571,530],"beta":{"interval_sums":[140126,136959,142695,129252,132419,125949],"interval_residues":[666,435,299,68,299,435],"display_cycle":[666,435,299,68,299,435],"intervals":[{"from_index":182,"to_index":550,"sum":140126,"residue":666},{"from_index":550,"to_index":918,"sum":136959,"residue":435},{"from_index":918,"to_index":1286,"sum":142695,"residue":299},{"from_index":1286,"to_index":1654,"sum":129252,"residue":68},{"from_index":1654,"to_index":2022,"sum":132419,"residue":299},{"from_index":2022,"to_index":182,"sum":125949,"residue":435}],"minimal_cycle":[666,435,299,68,299,435],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":666,"start_interval_clock_positions":[182,550],"circle_positions":734,"cycle_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":[183,551,919,1287,1655,2023],"clock_positions":[183,551,919,1287,1655,2023],"native_values":[666,435,299,68,299,435],"rotation_degrees":29.83695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[666,435,299,68,299,435],"beta":{"interval_sums":[139623,136728,142559,129755,132650,126085],"interval_residues":[163,204,163,571,530,571],"display_cycle":[163,204,163,571,530,571],"intervals":[{"from_index":183,"to_index":551,"sum":139623,"residue":163},{"from_index":551,"to_index":919,"sum":136728,"residue":204},{"from_index":919,"to_index":1287,"sum":142559,"residue":163},{"from_index":1287,"to_index":1655,"sum":129755,"residue":571},{"from_index":1655,"to_index":2023,"sum":132650,"residue":530},{"from_index":2023,"to_index":183,"sum":126085,"residue":571}],"minimal_cycle":[163,204,163,571,530,571],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":163,"start_interval_clock_positions":[183,551],"circle_positions":734,"cycle_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":[184,552,920,1288,1656,2024],"clock_positions":[184,552,920,1288,1656,2024],"native_values":[503,598,503,231,136,231],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[503,598,503,231,136,231],"beta":{"interval_sums":[139555,136429,142124,129823,132949,126520],"interval_residues":[95,639,462,639,95,272],"display_cycle":[95,639,462,639,95,272],"intervals":[{"from_index":184,"to_index":552,"sum":139555,"residue":95},{"from_index":552,"to_index":920,"sum":136429,"residue":639},{"from_index":920,"to_index":1288,"sum":142124,"residue":462},{"from_index":1288,"to_index":1656,"sum":129823,"residue":639},{"from_index":1656,"to_index":2024,"sum":132949,"residue":95},{"from_index":2024,"to_index":184,"sum":126520,"residue":272}],"minimal_cycle":[95,639,462,639,95,272],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":95,"start_interval_clock_positions":[184,552],"circle_positions":734,"cycle_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":[185,553,921,1289,1657,2025],"clock_positions":[185,553,921,1289,1657,2025],"native_values":[435,299,68,299,435,666],"rotation_degrees":30.16304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[435,299,68,299,435,666],"beta":{"interval_sums":[139718,136633,142287,129660,132745,126357],"interval_residues":[258,109,625,476,625,109],"display_cycle":[258,109,625,476,625,109],"intervals":[{"from_index":185,"to_index":553,"sum":139718,"residue":258},{"from_index":553,"to_index":921,"sum":136633,"residue":109},{"from_index":921,"to_index":1289,"sum":142287,"residue":625},{"from_index":1289,"to_index":1657,"sum":129660,"residue":476},{"from_index":1657,"to_index":2025,"sum":132745,"residue":625},{"from_index":2025,"to_index":185,"sum":126357,"residue":109}],"minimal_cycle":[258,109,625,476,625,109],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[185,553],"circle_positions":734,"cycle_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":[186,554,922,1290,1658,2026],"clock_positions":[186,554,922,1290,1658,2026],"native_values":[204,163,571,530,571,163],"rotation_degrees":30.32608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[204,163,571,530,571,163],"beta":{"interval_sums":[139813,136538,142015,129565,132840,126629],"interval_residues":[353,14,353,381,720,381],"display_cycle":[353,14,353,381,720,381],"intervals":[{"from_index":186,"to_index":554,"sum":139813,"residue":353},{"from_index":554,"to_index":922,"sum":136538,"residue":14},{"from_index":922,"to_index":1290,"sum":142015,"residue":353},{"from_index":1290,"to_index":1658,"sum":129565,"residue":381},{"from_index":1658,"to_index":2026,"sum":132840,"residue":720},{"from_index":2026,"to_index":186,"sum":126629,"residue":381}],"minimal_cycle":[353,14,353,381,720,381],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":353,"start_interval_clock_positions":[186,554],"circle_positions":734,"cycle_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":[187,555,923,1291,1659,2027],"clock_positions":[187,555,923,1291,1659,2027],"native_values":[639,462,639,95,272,95],"rotation_degrees":30.48913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[639,462,639,95,272,95],"beta":{"interval_sums":[139337,136647,141906,130041,132731,126738],"interval_residues":[611,123,244,123,611,490],"display_cycle":[611,123,244,123,611,490],"intervals":[{"from_index":187,"to_index":555,"sum":139337,"residue":611},{"from_index":555,"to_index":923,"sum":136647,"residue":123},{"from_index":923,"to_index":1291,"sum":141906,"residue":244},{"from_index":1291,"to_index":1659,"sum":130041,"residue":123},{"from_index":1659,"to_index":2027,"sum":132731,"residue":611},{"from_index":2027,"to_index":187,"sum":126738,"residue":490}],"minimal_cycle":[611,123,244,123,611,490],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":611,"start_interval_clock_positions":[187,555],"circle_positions":734,"cycle_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":[188,556,924,1292,1660,2028],"clock_positions":[188,556,924,1292,1660,2028],"native_values":[109,625,476,625,109,258],"rotation_degrees":30.652173913043477,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[109,625,476,625,109,258],"beta":{"interval_sums":[139690,136661,141525,129688,132717,127119],"interval_residues":[230,137,597,504,597,137],"display_cycle":[230,137,597,504,597,137],"intervals":[{"from_index":188,"to_index":556,"sum":139690,"residue":230},{"from_index":556,"to_index":924,"sum":136661,"residue":137},{"from_index":924,"to_index":1292,"sum":141525,"residue":597},{"from_index":1292,"to_index":1660,"sum":129688,"residue":504},{"from_index":1660,"to_index":2028,"sum":132717,"residue":597},{"from_index":2028,"to_index":188,"sum":127119,"residue":137}],"minimal_cycle":[230,137,597,504,597,137],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[188,556],"circle_positions":734,"cycle_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":[189,557,925,1293,1661,2029],"clock_positions":[189,557,925,1293,1661,2029],"native_values":[14,353,381,720,381,353],"rotation_degrees":30.815217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[14,353,381,720,381,353],"beta":{"interval_sums":[140301,136784,141769,129077,132594,126875],"interval_residues":[107,260,107,627,474,627],"display_cycle":[107,260,107,627,474,627],"intervals":[{"from_index":189,"to_index":557,"sum":140301,"residue":107},{"from_index":557,"to_index":925,"sum":136784,"residue":260},{"from_index":925,"to_index":1293,"sum":141769,"residue":107},{"from_index":1293,"to_index":1661,"sum":129077,"residue":627},{"from_index":1661,"to_index":2029,"sum":132594,"residue":474},{"from_index":2029,"to_index":189,"sum":126875,"residue":627}],"minimal_cycle":[107,260,107,627,474,627],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":107,"start_interval_clock_positions":[189,557],"circle_positions":734,"cycle_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":[190,558,926,1294,1662,2030],"clock_positions":[190,558,926,1294,1662,2030],"native_values":[123,244,123,611,490,611],"rotation_degrees":30.97826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,244,123,611,490,611],"beta":{"interval_sums":[140531,136921,142366,128847,132457,126278],"interval_residues":[337,397,704,397,337,30],"display_cycle":[337,397,704,397,337,30],"intervals":[{"from_index":190,"to_index":558,"sum":140531,"residue":337},{"from_index":558,"to_index":926,"sum":136921,"residue":397},{"from_index":926,"to_index":1294,"sum":142366,"residue":704},{"from_index":1294,"to_index":1662,"sum":128847,"residue":397},{"from_index":1662,"to_index":2030,"sum":132457,"residue":337},{"from_index":2030,"to_index":190,"sum":126278,"residue":30}],"minimal_cycle":[337,397,704,397,337,30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":337,"start_interval_clock_positions":[190,558],"circle_positions":734,"cycle_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":[191,559,927,1295,1663,2031],"clock_positions":[191,559,927,1295,1663,2031],"native_values":[137,597,504,597,137,230],"rotation_degrees":31.141304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,597,504,597,137,230],"beta":{"interval_sums":[140638,136447,142473,128740,132931,126171],"interval_residues":[444,657,77,290,77,657],"display_cycle":[444,657,77,290,77,657],"intervals":[{"from_index":191,"to_index":559,"sum":140638,"residue":444},{"from_index":559,"to_index":927,"sum":136447,"residue":657},{"from_index":927,"to_index":1295,"sum":142473,"residue":77},{"from_index":1295,"to_index":1663,"sum":128740,"residue":290},{"from_index":1663,"to_index":2031,"sum":132931,"residue":77},{"from_index":2031,"to_index":191,"sum":126171,"residue":657}],"minimal_cycle":[444,657,77,290,77,657],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[191,559],"circle_positions":734,"cycle_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":[192,560,928,1296,1664,2032],"clock_positions":[192,560,928,1296,1664,2032],"native_values":[260,107,627,474,627,107],"rotation_degrees":31.304347826086957,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[260,107,627,474,627,107],"beta":{"interval_sums":[140975,136844,142443,128403,132534,126201],"interval_residues":[47,320,47,687,414,687],"display_cycle":[47,320,47,687,414,687],"intervals":[{"from_index":192,"to_index":560,"sum":140975,"residue":47},{"from_index":560,"to_index":928,"sum":136844,"residue":320},{"from_index":928,"to_index":1296,"sum":142443,"residue":47},{"from_index":1296,"to_index":1664,"sum":128403,"residue":687},{"from_index":1664,"to_index":2032,"sum":132534,"residue":414},{"from_index":2032,"to_index":192,"sum":126201,"residue":687}],"minimal_cycle":[47,320,47,687,414,687],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":47,"start_interval_clock_positions":[192,560],"circle_positions":734,"cycle_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":[193,561,929,1297,1665,2033],"clock_positions":[193,561,929,1297,1665,2033],"native_values":[397,704,397,337,30,337],"rotation_degrees":31.467391304347824,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,704,397,337,30,337],"beta":{"interval_sums":[140685,136767,142520,128693,132611,126124],"interval_residues":[491,243,124,243,491,610],"display_cycle":[491,243,124,243,491,610],"intervals":[{"from_index":193,"to_index":561,"sum":140685,"residue":491},{"from_index":561,"to_index":929,"sum":136767,"residue":243},{"from_index":929,"to_index":1297,"sum":142520,"residue":124},{"from_index":1297,"to_index":1665,"sum":128693,"residue":243},{"from_index":1665,"to_index":2033,"sum":132611,"residue":491},{"from_index":2033,"to_index":193,"sum":126124,"residue":610}],"minimal_cycle":[491,243,124,243,491,610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":491,"start_interval_clock_positions":[193,561],"circle_positions":734,"cycle_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":[194,562,930,1298,1666,2034],"clock_positions":[194,562,930,1298,1666,2034],"native_values":[657,77,290,77,657,444],"rotation_degrees":31.630434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,77,290,77,657,444],"beta":{"interval_sums":[140732,137087,142567,128646,132291,126077],"interval_residues":[538,563,171,196,171,563],"display_cycle":[538,563,171,196,171,563],"intervals":[{"from_index":194,"to_index":562,"sum":140732,"residue":538},{"from_index":562,"to_index":930,"sum":137087,"residue":563},{"from_index":930,"to_index":1298,"sum":142567,"residue":171},{"from_index":1298,"to_index":1666,"sum":128646,"residue":196},{"from_index":1666,"to_index":2034,"sum":132291,"residue":171},{"from_index":2034,"to_index":194,"sum":126077,"residue":563}],"minimal_cycle":[538,563,171,196,171,563],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":538,"start_interval_clock_positions":[194,562],"circle_positions":734,"cycle_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":[195,563,931,1299,1667,2035],"clock_positions":[195,563,931,1299,1667,2035],"native_values":[320,47,687,414,687,47],"rotation_degrees":31.793478260869566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[320,47,687,414,687,47],"beta":{"interval_sums":[140489,137330,141957,128889,132048,126687],"interval_residues":[295,72,295,439,662,439],"display_cycle":[295,72,295,439,662,439],"intervals":[{"from_index":195,"to_index":563,"sum":140489,"residue":295},{"from_index":563,"to_index":931,"sum":137330,"residue":72},{"from_index":931,"to_index":1299,"sum":141957,"residue":295},{"from_index":1299,"to_index":1667,"sum":128889,"residue":439},{"from_index":1667,"to_index":2035,"sum":132048,"residue":662},{"from_index":2035,"to_index":195,"sum":126687,"residue":439}],"minimal_cycle":[295,72,295,439,662,439],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":295,"start_interval_clock_positions":[195,563],"circle_positions":734,"cycle_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":[196,564,932,1300,1668,2036],"clock_positions":[196,564,932,1300,1668,2036],"native_values":[243,124,243,491,610,491],"rotation_degrees":31.956521739130434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,124,243,491,610,491],"beta":{"interval_sums":[140293,137893,142128,129085,131485,126516],"interval_residues":[99,635,466,635,99,268],"display_cycle":[99,635,466,635,99,268],"intervals":[{"from_index":196,"to_index":564,"sum":140293,"residue":99},{"from_index":564,"to_index":932,"sum":137893,"residue":635},{"from_index":932,"to_index":1300,"sum":142128,"residue":466},{"from_index":1300,"to_index":1668,"sum":129085,"residue":635},{"from_index":1668,"to_index":2036,"sum":131485,"residue":99},{"from_index":2036,"to_index":196,"sum":126516,"residue":268}],"minimal_cycle":[99,635,466,635,99,268],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":99,"start_interval_clock_positions":[196,564],"circle_positions":734,"cycle_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":[197,565,933,1301,1669,2037],"clock_positions":[197,565,933,1301,1669,2037],"native_values":[563,171,196,171,563,538],"rotation_degrees":32.119565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[563,171,196,171,563,538],"beta":{"interval_sums":[139854,137965,142423,129524,131413,126221],"interval_residues":[394,707,27,340,27,707],"display_cycle":[394,707,27,340,27,707],"intervals":[{"from_index":197,"to_index":565,"sum":139854,"residue":394},{"from_index":565,"to_index":933,"sum":137965,"residue":707},{"from_index":933,"to_index":1301,"sum":142423,"residue":27},{"from_index":1301,"to_index":1669,"sum":129524,"residue":340},{"from_index":1669,"to_index":2037,"sum":131413,"residue":27},{"from_index":2037,"to_index":197,"sum":126221,"residue":707}],"minimal_cycle":[394,707,27,340,27,707],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[197,565],"circle_positions":734,"cycle_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":[198,566,934,1302,1670,2038],"clock_positions":[198,566,934,1302,1670,2038],"native_values":[72,295,439,662,439,295],"rotation_degrees":32.28260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[72,295,439,662,439,295],"beta":{"interval_sums":[139953,137866,142155,129425,131512,126489],"interval_residues":[493,608,493,241,126,241],"display_cycle":[493,608,493,241,126,241],"intervals":[{"from_index":198,"to_index":566,"sum":139953,"residue":493},{"from_index":566,"to_index":934,"sum":137866,"residue":608},{"from_index":934,"to_index":1302,"sum":142155,"residue":493},{"from_index":1302,"to_index":1670,"sum":129425,"residue":241},{"from_index":1670,"to_index":2038,"sum":131512,"residue":126},{"from_index":2038,"to_index":198,"sum":126489,"residue":241}],"minimal_cycle":[493,608,493,241,126,241],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":493,"start_interval_clock_positions":[198,566],"circle_positions":734,"cycle_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":[199,567,935,1303,1671,2039],"clock_positions":[199,567,935,1303,1671,2039],"native_values":[635,466,635,99,268,99],"rotation_degrees":32.44565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[635,466,635,99,268,99],"beta":{"interval_sums":[139613,137839,142182,129765,131539,126462],"interval_residues":[153,581,520,581,153,214],"display_cycle":[153,581,520,581,153,214],"intervals":[{"from_index":199,"to_index":567,"sum":139613,"residue":153},{"from_index":567,"to_index":935,"sum":137839,"residue":581},{"from_index":935,"to_index":1303,"sum":142182,"residue":520},{"from_index":1303,"to_index":1671,"sum":129765,"residue":581},{"from_index":1671,"to_index":2039,"sum":131539,"residue":153},{"from_index":2039,"to_index":199,"sum":126462,"residue":214}],"minimal_cycle":[153,581,520,581,153,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":153,"start_interval_clock_positions":[199,567],"circle_positions":734,"cycle_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":[200,568,936,1304,1672,2040],"clock_positions":[200,568,936,1304,1672,2040],"native_values":[707,27,340,27,707,394],"rotation_degrees":32.608695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[707,27,340,27,707,394],"beta":{"interval_sums":[139372,138447,141941,130006,130931,126703],"interval_residues":[646,455,279,88,279,455],"display_cycle":[646,455,279,88,279,455],"intervals":[{"from_index":200,"to_index":568,"sum":139372,"residue":646},{"from_index":568,"to_index":936,"sum":138447,"residue":455},{"from_index":936,"to_index":1304,"sum":141941,"residue":279},{"from_index":1304,"to_index":1672,"sum":130006,"residue":88},{"from_index":1672,"to_index":2040,"sum":130931,"residue":279},{"from_index":2040,"to_index":200,"sum":126703,"residue":455}],"minimal_cycle":[646,455,279,88,279,455],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":646,"start_interval_clock_positions":[200,568],"circle_positions":734,"cycle_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":[201,569,937,1305,1673,2041],"clock_positions":[201,569,937,1305,1673,2041],"native_values":[608,493,241,126,241,493],"rotation_degrees":32.77173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[608,493,241,126,241,493],"beta":{"interval_sums":[138791,138294,141727,130587,131084,126917],"interval_residues":[65,302,65,669,432,669],"display_cycle":[65,302,65,669,432,669],"intervals":[{"from_index":201,"to_index":569,"sum":138791,"residue":65},{"from_index":569,"to_index":937,"sum":138294,"residue":302},{"from_index":937,"to_index":1305,"sum":141727,"residue":65},{"from_index":1305,"to_index":1673,"sum":130587,"residue":669},{"from_index":1673,"to_index":2041,"sum":131084,"residue":432},{"from_index":2041,"to_index":201,"sum":126917,"residue":669}],"minimal_cycle":[65,302,65,669,432,669],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":65,"start_interval_clock_positions":[201,569],"circle_positions":734,"cycle_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":[202,570,938,1306,1674,2042],"clock_positions":[202,570,938,1306,1674,2042],"native_values":[581,520,581,153,214,153],"rotation_degrees":32.93478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[581,520,581,153,214,153],"beta":{"interval_sums":[138703,138015,141272,130675,131363,127372],"interval_residues":[711,23,344,23,711,390],"display_cycle":[711,23,344,23,711,390],"intervals":[{"from_index":202,"to_index":570,"sum":138703,"residue":711},{"from_index":570,"to_index":938,"sum":138015,"residue":23},{"from_index":938,"to_index":1306,"sum":141272,"residue":344},{"from_index":1306,"to_index":1674,"sum":130675,"residue":23},{"from_index":1674,"to_index":2042,"sum":131363,"residue":711},{"from_index":2042,"to_index":202,"sum":127372,"residue":390}],"minimal_cycle":[711,23,344,23,711,390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":711,"start_interval_clock_positions":[202,570],"circle_positions":734,"cycle_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":[203,571,939,1307,1675,2043],"clock_positions":[203,571,939,1307,1675,2043],"native_values":[455,279,88,279,455,646],"rotation_degrees":33.09782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[455,279,88,279,455,646],"beta":{"interval_sums":[138768,138317,141337,130610,131061,127307],"interval_residues":[42,325,409,692,409,325],"display_cycle":[42,325,409,692,409,325],"intervals":[{"from_index":203,"to_index":571,"sum":138768,"residue":42},{"from_index":571,"to_index":939,"sum":138317,"residue":325},{"from_index":939,"to_index":1307,"sum":141337,"residue":409},{"from_index":1307,"to_index":1675,"sum":130610,"residue":692},{"from_index":1675,"to_index":2043,"sum":131061,"residue":409},{"from_index":2043,"to_index":203,"sum":127307,"residue":325}],"minimal_cycle":[42,325,409,692,409,325],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":42,"start_interval_clock_positions":[203,571],"circle_positions":734,"cycle_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":[204,572,940,1308,1676,2044],"clock_positions":[204,572,940,1308,1676,2044],"native_values":[302,65,669,432,669,65],"rotation_degrees":33.26086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[302,65,669,432,669,65],"beta":{"interval_sums":[138745,138340,140947,130633,131038,127697],"interval_residues":[19,348,19,715,386,715],"display_cycle":[19,348,19,715,386,715],"intervals":[{"from_index":204,"to_index":572,"sum":138745,"residue":19},{"from_index":572,"to_index":940,"sum":138340,"residue":348},{"from_index":940,"to_index":1308,"sum":140947,"residue":19},{"from_index":1308,"to_index":1676,"sum":130633,"residue":715},{"from_index":1676,"to_index":2044,"sum":131038,"residue":386},{"from_index":2044,"to_index":204,"sum":127697,"residue":715}],"minimal_cycle":[19,348,19,715,386,715],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":19,"start_interval_clock_positions":[204,572],"circle_positions":734,"cycle_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":[205,573,941,1309,1677,2045],"clock_positions":[205,573,941,1309,1677,2045],"native_values":[23,344,23,711,390,711],"rotation_degrees":33.42391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[23,344,23,711,390,711],"beta":{"interval_sums":[138787,138665,141356,130591,130713,127288],"interval_residues":[61,673,428,673,61,306],"display_cycle":[61,673,428,673,61,306],"intervals":[{"from_index":205,"to_index":573,"sum":138787,"residue":61},{"from_index":573,"to_index":941,"sum":138665,"residue":673},{"from_index":941,"to_index":1309,"sum":141356,"residue":428},{"from_index":1309,"to_index":1677,"sum":130591,"residue":673},{"from_index":1677,"to_index":2045,"sum":130713,"residue":61},{"from_index":2045,"to_index":205,"sum":127288,"residue":306}],"minimal_cycle":[61,673,428,673,61,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":61,"start_interval_clock_positions":[205,573],"circle_positions":734,"cycle_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":[206,574,942,1310,1678,2046],"clock_positions":[206,574,942,1310,1678,2046],"native_values":[325,409,692,409,325,42],"rotation_degrees":33.58695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,409,692,409,325,42],"beta":{"interval_sums":[138806,138279,141375,130572,131099,127269],"interval_residues":[80,287,447,654,447,287],"display_cycle":[80,287,447,654,447,287],"intervals":[{"from_index":206,"to_index":574,"sum":138806,"residue":80},{"from_index":574,"to_index":942,"sum":138279,"residue":287},{"from_index":942,"to_index":1310,"sum":141375,"residue":447},{"from_index":1310,"to_index":1678,"sum":130572,"residue":654},{"from_index":1678,"to_index":2046,"sum":131099,"residue":447},{"from_index":2046,"to_index":206,"sum":127269,"residue":287}],"minimal_cycle":[80,287,447,654,447,287],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[206,574],"circle_positions":734,"cycle_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":[207,575,943,1311,1679,2047],"clock_positions":[207,575,943,1311,1679,2047],"native_values":[348,19,715,386,715,19],"rotation_degrees":33.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[348,19,715,386,715,19],"beta":{"interval_sums":[138867,138952,141069,130511,130426,127575],"interval_residues":[141,226,141,593,508,593],"display_cycle":[141,226,141,593,508,593],"intervals":[{"from_index":207,"to_index":575,"sum":138867,"residue":141},{"from_index":575,"to_index":943,"sum":138952,"residue":226},{"from_index":943,"to_index":1311,"sum":141069,"residue":141},{"from_index":1311,"to_index":1679,"sum":130511,"residue":593},{"from_index":1679,"to_index":2047,"sum":130426,"residue":508},{"from_index":2047,"to_index":207,"sum":127575,"residue":593}],"minimal_cycle":[141,226,141,593,508,593],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":141,"start_interval_clock_positions":[207,575],"circle_positions":734,"cycle_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":[208,576,944,1312,1680,2048],"clock_positions":[208,576,944,1312,1680,2048],"native_values":[673,428,673,61,306,61],"rotation_degrees":33.91304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[673,428,673,61,306,61],"beta":{"interval_sums":[138213,139239,140782,131165,130139,127862],"interval_residues":[221,513,588,513,221,146],"display_cycle":[221,513,588,513,221,146],"intervals":[{"from_index":208,"to_index":576,"sum":138213,"residue":221},{"from_index":576,"to_index":944,"sum":139239,"residue":513},{"from_index":944,"to_index":1312,"sum":140782,"residue":588},{"from_index":1312,"to_index":1680,"sum":131165,"residue":513},{"from_index":1680,"to_index":2048,"sum":130139,"residue":221},{"from_index":2048,"to_index":208,"sum":127862,"residue":146}],"minimal_cycle":[221,513,588,513,221,146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":221,"start_interval_clock_positions":[208,576],"circle_positions":734,"cycle_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":[209,577,945,1313,1681,2049],"clock_positions":[209,577,945,1313,1681,2049],"native_values":[287,447,654,447,287,80],"rotation_degrees":34.07608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,447,654,447,287,80],"beta":{"interval_sums":[138354,139465,140189,131024,129913,128455],"interval_residues":[362,5,729,372,729,5],"display_cycle":[362,5,729,372,729,5],"intervals":[{"from_index":209,"to_index":577,"sum":138354,"residue":362},{"from_index":577,"to_index":945,"sum":139465,"residue":5},{"from_index":945,"to_index":1313,"sum":140189,"residue":729},{"from_index":1313,"to_index":1681,"sum":131024,"residue":372},{"from_index":1681,"to_index":2049,"sum":129913,"residue":729},{"from_index":2049,"to_index":209,"sum":128455,"residue":5}],"minimal_cycle":[362,5,729,372,729,5],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[209,577],"circle_positions":734,"cycle_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":[210,578,946,1314,1682,2050],"clock_positions":[210,578,946,1314,1682,2050],"native_values":[226,141,593,508,593,141],"rotation_degrees":34.23913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[226,141,593,508,593,141],"beta":{"interval_sums":[138575,139978,140043,130803,129400,128601],"interval_residues":[583,518,583,151,216,151],"display_cycle":[583,518,583,151,216,151],"intervals":[{"from_index":210,"to_index":578,"sum":138575,"residue":583},{"from_index":578,"to_index":946,"sum":139978,"residue":518},{"from_index":946,"to_index":1314,"sum":140043,"residue":583},{"from_index":1314,"to_index":1682,"sum":130803,"residue":151},{"from_index":1682,"to_index":2050,"sum":129400,"residue":216},{"from_index":2050,"to_index":210,"sum":128601,"residue":151}],"minimal_cycle":[583,518,583,151,216,151],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":583,"start_interval_clock_positions":[210,578],"circle_positions":734,"cycle_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":[211,579,947,1315,1683,2051],"clock_positions":[211,579,947,1315,1683,2051],"native_values":[513,588,513,221,146,221],"rotation_degrees":34.40217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,588,513,221,146,221],"beta":{"interval_sums":[138203,139983,140038,131175,129395,128606],"interval_residues":[211,523,578,523,211,156],"display_cycle":[211,523,578,523,211,156],"intervals":[{"from_index":211,"to_index":579,"sum":138203,"residue":211},{"from_index":579,"to_index":947,"sum":139983,"residue":523},{"from_index":947,"to_index":1315,"sum":140038,"residue":578},{"from_index":1315,"to_index":1683,"sum":131175,"residue":523},{"from_index":1683,"to_index":2051,"sum":129395,"residue":211},{"from_index":2051,"to_index":211,"sum":128606,"residue":156}],"minimal_cycle":[211,523,578,523,211,156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":211,"start_interval_clock_positions":[211,579],"circle_positions":734,"cycle_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":[212,580,948,1316,1684,2052],"clock_positions":[212,580,948,1316,1684,2052],"native_values":[5,729,372,729,5,362],"rotation_degrees":34.56521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,729,372,729,5,362],"beta":{"interval_sums":[138786,139767,139887,130592,129611,128757],"interval_residues":[60,307,427,674,427,307],"display_cycle":[60,307,427,674,427,307],"intervals":[{"from_index":212,"to_index":580,"sum":138786,"residue":60},{"from_index":580,"to_index":948,"sum":139767,"residue":307},{"from_index":948,"to_index":1316,"sum":139887,"residue":427},{"from_index":1316,"to_index":1684,"sum":130592,"residue":674},{"from_index":1684,"to_index":2052,"sum":129611,"residue":427},{"from_index":2052,"to_index":212,"sum":128757,"residue":307}],"minimal_cycle":[60,307,427,674,427,307],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[212,580],"circle_positions":734,"cycle_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":[213,581,949,1317,1685,2053],"clock_positions":[213,581,949,1317,1685,2053],"native_values":[518,583,151,216,151,583],"rotation_degrees":34.72826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[518,583,151,216,151,583],"beta":{"interval_sums":[138997,139556,140465,130381,129822,128179],"interval_residues":[271,96,271,463,638,463],"display_cycle":[271,96,271,463,638,463],"intervals":[{"from_index":213,"to_index":581,"sum":138997,"residue":271},{"from_index":581,"to_index":949,"sum":139556,"residue":96},{"from_index":949,"to_index":1317,"sum":140465,"residue":271},{"from_index":1317,"to_index":1685,"sum":130381,"residue":463},{"from_index":1685,"to_index":2053,"sum":129822,"residue":638},{"from_index":2053,"to_index":213,"sum":128179,"residue":463}],"minimal_cycle":[271,96,271,463,638,463],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":271,"start_interval_clock_positions":[213,581],"circle_positions":734,"cycle_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":[214,582,950,1318,1686,2054],"clock_positions":[214,582,950,1318,1686,2054],"native_values":[523,578,523,211,156,211],"rotation_degrees":34.891304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,578,523,211,156,211],"beta":{"interval_sums":[139057,139129,140158,130321,130249,128486],"interval_residues":[331,403,698,403,331,36],"display_cycle":[331,403,698,403,331,36],"intervals":[{"from_index":214,"to_index":582,"sum":139057,"residue":331},{"from_index":582,"to_index":950,"sum":139129,"residue":403},{"from_index":950,"to_index":1318,"sum":140158,"residue":698},{"from_index":1318,"to_index":1686,"sum":130321,"residue":403},{"from_index":1686,"to_index":2054,"sum":130249,"residue":331},{"from_index":2054,"to_index":214,"sum":128486,"residue":36}],"minimal_cycle":[331,403,698,403,331,36],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":331,"start_interval_clock_positions":[214,582],"circle_positions":734,"cycle_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":[215,583,951,1319,1687,2055],"clock_positions":[215,583,951,1319,1687,2055],"native_values":[307,427,674,427,307,60],"rotation_degrees":35.05434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,427,674,427,307,60],"beta":{"interval_sums":[139328,139225,139695,130050,130153,128949],"interval_residues":[602,499,235,132,235,499],"display_cycle":[602,499,235,132,235,499],"intervals":[{"from_index":215,"to_index":583,"sum":139328,"residue":602},{"from_index":583,"to_index":951,"sum":139225,"residue":499},{"from_index":951,"to_index":1319,"sum":139695,"residue":235},{"from_index":1319,"to_index":1687,"sum":130050,"residue":132},{"from_index":1687,"to_index":2055,"sum":130153,"residue":235},{"from_index":2055,"to_index":215,"sum":128949,"residue":499}],"minimal_cycle":[602,499,235,132,235,499],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":602,"start_interval_clock_positions":[215,583],"circle_positions":734,"cycle_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":[216,584,952,1320,1688,2056],"clock_positions":[216,584,952,1320,1688,2056],"native_values":[96,271,463,638,463,271],"rotation_degrees":35.21739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[96,271,463,638,463,271],"beta":{"interval_sums":[139659,139628,139659,129719,129750,128985],"interval_residues":[199,168,199,535,566,535],"display_cycle":[199,168,199,535,566,535],"intervals":[{"from_index":216,"to_index":584,"sum":139659,"residue":199},{"from_index":584,"to_index":952,"sum":139628,"residue":168},{"from_index":952,"to_index":1320,"sum":139659,"residue":199},{"from_index":1320,"to_index":1688,"sum":129719,"residue":535},{"from_index":1688,"to_index":2056,"sum":129750,"residue":566},{"from_index":2056,"to_index":216,"sum":128985,"residue":535}],"minimal_cycle":[199,168,199,535,566,535],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":199,"start_interval_clock_positions":[216,584],"circle_positions":734,"cycle_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":[217,585,953,1321,1689,2057],"clock_positions":[217,585,953,1321,1689,2057],"native_values":[403,698,403,331,36,331],"rotation_degrees":35.380434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[403,698,403,331,36,331],"beta":{"interval_sums":[139527,139393,139894,129851,129985,128750],"interval_residues":[67,667,434,667,67,300],"display_cycle":[67,667,434,667,67,300],"intervals":[{"from_index":217,"to_index":585,"sum":139527,"residue":67},{"from_index":585,"to_index":953,"sum":139393,"residue":667},{"from_index":953,"to_index":1321,"sum":139894,"residue":434},{"from_index":1321,"to_index":1689,"sum":129851,"residue":667},{"from_index":1689,"to_index":2057,"sum":129985,"residue":67},{"from_index":2057,"to_index":217,"sum":128750,"residue":300}],"minimal_cycle":[67,667,434,667,67,300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":67,"start_interval_clock_positions":[217,585],"circle_positions":734,"cycle_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":[218,586,954,1322,1690,2058],"clock_positions":[218,586,954,1322,1690,2058],"native_values":[499,235,132,235,499,602],"rotation_degrees":35.54347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[499,235,132,235,499,602],"beta":{"interval_sums":[139726,139561,140093,129652,129817,128551],"interval_residues":[266,101,633,468,633,101],"display_cycle":[266,101,633,468,633,101],"intervals":[{"from_index":218,"to_index":586,"sum":139726,"residue":266},{"from_index":586,"to_index":954,"sum":139561,"residue":101},{"from_index":954,"to_index":1322,"sum":140093,"residue":633},{"from_index":1322,"to_index":1690,"sum":129652,"residue":468},{"from_index":1690,"to_index":2058,"sum":129817,"residue":633},{"from_index":2058,"to_index":218,"sum":128551,"residue":101}],"minimal_cycle":[266,101,633,468,633,101],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[218,586],"circle_positions":734,"cycle_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":[219,587,955,1323,1691,2059],"clock_positions":[219,587,955,1323,1691,2059],"native_values":[168,199,535,566,535,199],"rotation_degrees":35.70652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[168,199,535,566,535,199],"beta":{"interval_sums":[139793,139494,139793,129585,129884,128851],"interval_residues":[333,34,333,401,700,401],"display_cycle":[333,34,333,401,700,401],"intervals":[{"from_index":219,"to_index":587,"sum":139793,"residue":333},{"from_index":587,"to_index":955,"sum":139494,"residue":34},{"from_index":955,"to_index":1323,"sum":139793,"residue":333},{"from_index":1323,"to_index":1691,"sum":129585,"residue":401},{"from_index":1691,"to_index":2059,"sum":129884,"residue":700},{"from_index":2059,"to_index":219,"sum":128851,"residue":401}],"minimal_cycle":[333,34,333,401,700,401],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":333,"start_interval_clock_positions":[219,587],"circle_positions":734,"cycle_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":[220,588,956,1324,1692,2060],"clock_positions":[220,588,956,1324,1692,2060],"native_values":[667,434,667,67,300,67],"rotation_degrees":35.869565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[667,434,667,67,300,67],"beta":{"interval_sums":[139325,139595,139692,130053,129783,128952],"interval_residues":[599,135,232,135,599,502],"display_cycle":[599,135,232,135,599,502],"intervals":[{"from_index":220,"to_index":588,"sum":139325,"residue":599},{"from_index":588,"to_index":956,"sum":139595,"residue":135},{"from_index":956,"to_index":1324,"sum":139692,"residue":232},{"from_index":1324,"to_index":1692,"sum":130053,"residue":135},{"from_index":1692,"to_index":2060,"sum":129783,"residue":599},{"from_index":2060,"to_index":220,"sum":128952,"residue":502}],"minimal_cycle":[599,135,232,135,599,502],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":599,"start_interval_clock_positions":[220,588],"circle_positions":734,"cycle_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":[221,589,957,1325,1693,2061],"clock_positions":[221,589,957,1325,1693,2061],"native_values":[101,633,468,633,101,266],"rotation_degrees":36.03260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,633,468,633,101,266],"beta":{"interval_sums":[139658,139629,139291,129720,129749,129353],"interval_residues":[198,169,565,536,565,169],"display_cycle":[198,169,565,536,565,169],"intervals":[{"from_index":221,"to_index":589,"sum":139658,"residue":198},{"from_index":589,"to_index":957,"sum":139629,"residue":169},{"from_index":957,"to_index":1325,"sum":139291,"residue":565},{"from_index":1325,"to_index":1693,"sum":129720,"residue":536},{"from_index":1693,"to_index":2061,"sum":129749,"residue":565},{"from_index":2061,"to_index":221,"sum":129353,"residue":169}],"minimal_cycle":[198,169,565,536,565,169],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[221,589],"circle_positions":734,"cycle_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":[222,590,958,1326,1694,2062],"clock_positions":[222,590,958,1326,1694,2062],"native_values":[34,333,401,700,401,333],"rotation_degrees":36.19565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,333,401,700,401,333],"beta":{"interval_sums":[140257,139764,139523,129121,129614,129121],"interval_residues":[63,304,63,671,430,671],"display_cycle":[63,304,63,671,430,671],"intervals":[{"from_index":222,"to_index":590,"sum":140257,"residue":63},{"from_index":590,"to_index":958,"sum":139764,"residue":304},{"from_index":958,"to_index":1326,"sum":139523,"residue":63},{"from_index":1326,"to_index":1694,"sum":129121,"residue":671},{"from_index":1694,"to_index":2062,"sum":129614,"residue":430},{"from_index":2062,"to_index":222,"sum":129121,"residue":671}],"minimal_cycle":[63,304,63,671,430,671],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":63,"start_interval_clock_positions":[222,590],"circle_positions":734,"cycle_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":[223,591,959,1327,1695,2063],"clock_positions":[223,591,959,1327,1695,2063],"native_values":[135,232,135,599,502,599],"rotation_degrees":36.358695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,232,135,599,502,599],"beta":{"interval_sums":[140455,139933,140088,128923,129445,128556],"interval_residues":[261,473,628,473,261,106],"display_cycle":[261,473,628,473,261,106],"intervals":[{"from_index":223,"to_index":591,"sum":140455,"residue":261},{"from_index":591,"to_index":959,"sum":139933,"residue":473},{"from_index":959,"to_index":1327,"sum":140088,"residue":628},{"from_index":1327,"to_index":1695,"sum":128923,"residue":473},{"from_index":1695,"to_index":2063,"sum":129445,"residue":261},{"from_index":2063,"to_index":223,"sum":128556,"residue":106}],"minimal_cycle":[261,473,628,473,261,106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":261,"start_interval_clock_positions":[223,591],"circle_positions":734,"cycle_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":[224,592,960,1328,1696,2064],"clock_positions":[224,592,960,1328,1696,2064],"native_values":[169,565,536,565,169,198],"rotation_degrees":36.52173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,565,536,565,169,198],"beta":{"interval_sums":[140518,139503,140151,128860,129875,128493],"interval_residues":[324,43,691,410,691,43],"display_cycle":[324,43,691,410,691,43],"intervals":[{"from_index":224,"to_index":592,"sum":140518,"residue":324},{"from_index":592,"to_index":960,"sum":139503,"residue":43},{"from_index":960,"to_index":1328,"sum":140151,"residue":691},{"from_index":1328,"to_index":1696,"sum":128860,"residue":410},{"from_index":1696,"to_index":2064,"sum":129875,"residue":691},{"from_index":2064,"to_index":224,"sum":128493,"residue":43}],"minimal_cycle":[324,43,691,410,691,43],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[224,592],"circle_positions":734,"cycle_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":[225,593,961,1329,1697,2065],"clock_positions":[225,593,961,1329,1697,2065],"native_values":[304,63,671,430,671,63],"rotation_degrees":36.68478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[304,63,671,430,671,63],"beta":{"interval_sums":[140779,139976,140045,128599,129402,128599],"interval_residues":[585,516,585,149,218,149],"display_cycle":[585,516,585,149,218,149],"intervals":[{"from_index":225,"to_index":593,"sum":140779,"residue":585},{"from_index":593,"to_index":961,"sum":139976,"residue":516},{"from_index":961,"to_index":1329,"sum":140045,"residue":585},{"from_index":1329,"to_index":1697,"sum":128599,"residue":149},{"from_index":1697,"to_index":2065,"sum":129402,"residue":218},{"from_index":2065,"to_index":225,"sum":128599,"residue":149}],"minimal_cycle":[585,516,585,149,218,149],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":585,"start_interval_clock_positions":[225,593],"circle_positions":734,"cycle_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":[226,594,962,1330,1698,2066],"clock_positions":[226,594,962,1330,1698,2066],"native_values":[473,628,473,261,106,261],"rotation_degrees":36.84782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,628,473,261,106,261],"beta":{"interval_sums":[140369,140019,140002,129009,129359,128642],"interval_residues":[175,559,542,559,175,192],"display_cycle":[175,559,542,559,175,192],"intervals":[{"from_index":226,"to_index":594,"sum":140369,"residue":175},{"from_index":594,"to_index":962,"sum":140019,"residue":559},{"from_index":962,"to_index":1330,"sum":140002,"residue":542},{"from_index":1330,"to_index":1698,"sum":129009,"residue":559},{"from_index":1698,"to_index":2066,"sum":129359,"residue":175},{"from_index":2066,"to_index":226,"sum":128642,"residue":192}],"minimal_cycle":[175,559,542,559,175,192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":175,"start_interval_clock_positions":[226,594],"circle_positions":734,"cycle_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":[227,595,963,1331,1699,2067],"clock_positions":[227,595,963,1331,1699,2067],"native_values":[43,691,410,691,43,324],"rotation_degrees":37.01086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[43,691,410,691,43,324],"beta":{"interval_sums":[140954,139801,139853,128424,129577,128791],"interval_residues":[26,341,393,708,393,341],"display_cycle":[26,341,393,708,393,341],"intervals":[{"from_index":227,"to_index":595,"sum":140954,"residue":26},{"from_index":595,"to_index":963,"sum":139801,"residue":341},{"from_index":963,"to_index":1331,"sum":139853,"residue":393},{"from_index":1331,"to_index":1699,"sum":128424,"residue":708},{"from_index":1699,"to_index":2067,"sum":129577,"residue":393},{"from_index":2067,"to_index":227,"sum":128791,"residue":341}],"minimal_cycle":[26,341,393,708,393,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[227,595],"circle_positions":734,"cycle_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":[228,596,964,1332,1700,2068],"clock_positions":[228,596,964,1332,1700,2068],"native_values":[516,585,149,218,149,585],"rotation_degrees":37.17391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[516,585,149,218,149,585],"beta":{"interval_sums":[141129,139626,140395,128249,129752,128249],"interval_residues":[201,166,201,533,568,533],"display_cycle":[201,166,201,533,568,533],"intervals":[{"from_index":228,"to_index":596,"sum":141129,"residue":201},{"from_index":596,"to_index":964,"sum":139626,"residue":166},{"from_index":964,"to_index":1332,"sum":140395,"residue":201},{"from_index":1332,"to_index":1700,"sum":128249,"residue":533},{"from_index":1700,"to_index":2068,"sum":129752,"residue":568},{"from_index":2068,"to_index":228,"sum":128249,"residue":533}],"minimal_cycle":[201,166,201,533,568,533],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":201,"start_interval_clock_positions":[228,596],"circle_positions":734,"cycle_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":[229,597,965,1333,1701,2069],"clock_positions":[229,597,965,1333,1701,2069],"native_values":[559,542,559,175,192,175],"rotation_degrees":37.33695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[559,542,559,175,192,175],"beta":{"interval_sums":[141155,139233,140054,128223,130145,128590],"interval_residues":[227,507,594,507,227,140],"display_cycle":[227,507,594,507,227,140],"intervals":[{"from_index":229,"to_index":597,"sum":141155,"residue":227},{"from_index":597,"to_index":965,"sum":139233,"residue":507},{"from_index":965,"to_index":1333,"sum":140054,"residue":594},{"from_index":1333,"to_index":1701,"sum":128223,"residue":507},{"from_index":1701,"to_index":2069,"sum":130145,"residue":227},{"from_index":2069,"to_index":229,"sum":128590,"residue":140}],"minimal_cycle":[227,507,594,507,227,140],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":227,"start_interval_clock_positions":[229,597],"circle_positions":734,"cycle_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":[230,598,966,1334,1702,2070],"clock_positions":[230,598,966,1334,1702,2070],"native_values":[341,393,708,393,341,26],"rotation_degrees":37.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,393,708,393,341,26],"beta":{"interval_sums":[141356,139399,139521,128022,129979,129123],"interval_residues":[428,673,61,306,61,673],"display_cycle":[428,673,61,306,61,673],"intervals":[{"from_index":230,"to_index":598,"sum":141356,"residue":428},{"from_index":598,"to_index":966,"sum":139399,"residue":673},{"from_index":966,"to_index":1334,"sum":139521,"residue":61},{"from_index":1334,"to_index":1702,"sum":128022,"residue":306},{"from_index":1702,"to_index":2070,"sum":129979,"residue":61},{"from_index":2070,"to_index":230,"sum":129123,"residue":673}],"minimal_cycle":[428,673,61,306,61,673],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[230,598],"circle_positions":734,"cycle_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":[231,599,967,1335,1703,2071],"clock_positions":[231,599,967,1335,1703,2071],"native_values":[166,201,533,568,533,201],"rotation_degrees":37.66304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[166,201,533,568,533,201],"beta":{"interval_sums":[141583,139906,139381,127795,129472,129263],"interval_residues":[655,446,655,79,288,79],"display_cycle":[655,446,655,79,288,79],"intervals":[{"from_index":231,"to_index":599,"sum":141583,"residue":655},{"from_index":599,"to_index":967,"sum":139906,"residue":446},{"from_index":967,"to_index":1335,"sum":139381,"residue":655},{"from_index":1335,"to_index":1703,"sum":127795,"residue":79},{"from_index":1703,"to_index":2071,"sum":129472,"residue":288},{"from_index":2071,"to_index":231,"sum":129263,"residue":79}],"minimal_cycle":[655,446,655,79,288,79],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":655,"start_interval_clock_positions":[231,599],"circle_positions":734,"cycle_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":[232,600,968,1336,1704,2072],"clock_positions":[232,600,968,1336,1704,2072],"native_values":[507,594,507,227,140,227],"rotation_degrees":37.82608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[507,594,507,227,140,227],"beta":{"interval_sums":[141277,139845,139442,128101,129533,129202],"interval_residues":[349,385,716,385,349,18],"display_cycle":[349,385,716,385,349,18],"intervals":[{"from_index":232,"to_index":600,"sum":141277,"residue":349},{"from_index":600,"to_index":968,"sum":139845,"residue":385},{"from_index":968,"to_index":1336,"sum":139442,"residue":716},{"from_index":1336,"to_index":1704,"sum":128101,"residue":385},{"from_index":1704,"to_index":2072,"sum":129533,"residue":349},{"from_index":2072,"to_index":232,"sum":129202,"residue":18}],"minimal_cycle":[349,385,716,385,349,18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":349,"start_interval_clock_positions":[232,600],"circle_positions":734,"cycle_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":[233,601,969,1337,1705,2073],"clock_positions":[233,601,969,1337,1705,2073],"native_values":[673,61,306,61,673,428],"rotation_degrees":37.98913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[673,61,306,61,673,428],"beta":{"interval_sums":[141198,140291,139363,128180,129087,129281],"interval_residues":[270,97,637,464,637,97],"display_cycle":[270,97,637,464,637,97],"intervals":[{"from_index":233,"to_index":601,"sum":141198,"residue":270},{"from_index":601,"to_index":969,"sum":140291,"residue":97},{"from_index":969,"to_index":1337,"sum":139363,"residue":637},{"from_index":1337,"to_index":1705,"sum":128180,"residue":464},{"from_index":1705,"to_index":2073,"sum":129087,"residue":637},{"from_index":2073,"to_index":233,"sum":129281,"residue":97}],"minimal_cycle":[270,97,637,464,637,97],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":270,"start_interval_clock_positions":[233,601],"circle_positions":734,"cycle_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":[234,602,970,1338,1706,2074],"clock_positions":[234,602,970,1338,1706,2074],"native_values":[446,655,79,288,79,655],"rotation_degrees":38.15217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[446,655,79,288,79,655],"beta":{"interval_sums":[140813,139942,139345,128565,129436,129299],"interval_residues":[619,482,619,115,252,115],"display_cycle":[619,482,619,115,252,115],"intervals":[{"from_index":234,"to_index":602,"sum":140813,"residue":619},{"from_index":602,"to_index":970,"sum":139942,"residue":482},{"from_index":970,"to_index":1338,"sum":139345,"residue":619},{"from_index":1338,"to_index":1706,"sum":128565,"residue":115},{"from_index":1706,"to_index":2074,"sum":129436,"residue":252},{"from_index":2074,"to_index":234,"sum":129299,"residue":115}],"minimal_cycle":[619,482,619,115,252,115],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":619,"start_interval_clock_positions":[234,602],"circle_positions":734,"cycle_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":[235,603,971,1339,1707,2075],"clock_positions":[235,603,971,1339,1707,2075],"native_values":[385,716,385,349,18,349],"rotation_degrees":38.31521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[385,716,385,349,18,349],"beta":{"interval_sums":[141083,139305,139248,128295,130073,129396],"interval_residues":[155,579,522,579,155,212],"display_cycle":[155,579,522,579,155,212],"intervals":[{"from_index":235,"to_index":603,"sum":141083,"residue":155},{"from_index":603,"to_index":971,"sum":139305,"residue":579},{"from_index":971,"to_index":1339,"sum":139248,"residue":522},{"from_index":1339,"to_index":1707,"sum":128295,"residue":579},{"from_index":1707,"to_index":2075,"sum":130073,"residue":155},{"from_index":2075,"to_index":235,"sum":129396,"residue":212}],"minimal_cycle":[155,579,522,579,155,212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":155,"start_interval_clock_positions":[235,603],"circle_positions":734,"cycle_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":[236,604,972,1340,1708,2076],"clock_positions":[236,604,972,1340,1708,2076],"native_values":[97,637,464,637,97,270],"rotation_degrees":38.47826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[97,637,464,637,97,270],"beta":{"interval_sums":[141702,139053,139133,127676,130325,129511],"interval_residues":[40,327,407,694,407,327],"display_cycle":[40,327,407,694,407,327],"intervals":[{"from_index":236,"to_index":604,"sum":141702,"residue":40},{"from_index":604,"to_index":972,"sum":139053,"residue":327},{"from_index":972,"to_index":1340,"sum":139133,"residue":407},{"from_index":1340,"to_index":1708,"sum":127676,"residue":694},{"from_index":1708,"to_index":2076,"sum":130325,"residue":407},{"from_index":2076,"to_index":236,"sum":129511,"residue":327}],"minimal_cycle":[40,327,407,694,407,327],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[236,604],"circle_positions":734,"cycle_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":[237,605,973,1341,1709,2077],"clock_positions":[237,605,973,1341,1709,2077],"native_values":[482,619,115,252,115,619],"rotation_degrees":38.641304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[482,619,115,252,115,619],"beta":{"interval_sums":[141857,138898,139655,127521,130480,128989],"interval_residues":[195,172,195,539,562,539],"display_cycle":[195,172,195,539,562,539],"intervals":[{"from_index":237,"to_index":605,"sum":141857,"residue":195},{"from_index":605,"to_index":973,"sum":138898,"residue":172},{"from_index":973,"to_index":1341,"sum":139655,"residue":195},{"from_index":1341,"to_index":1709,"sum":127521,"residue":539},{"from_index":1709,"to_index":2077,"sum":130480,"residue":562},{"from_index":2077,"to_index":237,"sum":128989,"residue":539}],"minimal_cycle":[195,172,195,539,562,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":195,"start_interval_clock_positions":[237,605],"circle_positions":734,"cycle_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":[238,606,974,1342,1710,2078],"clock_positions":[238,606,974,1342,1710,2078],"native_values":[579,522,579,155,212,155],"rotation_degrees":38.80434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[579,522,579,155,212,155],"beta":{"interval_sums":[141897,138491,139328,127481,130887,129316],"interval_residues":[235,499,602,499,235,132],"display_cycle":[235,499,602,499,235,132],"intervals":[{"from_index":238,"to_index":606,"sum":141897,"residue":235},{"from_index":606,"to_index":974,"sum":138491,"residue":499},{"from_index":974,"to_index":1342,"sum":139328,"residue":602},{"from_index":1342,"to_index":1710,"sum":127481,"residue":499},{"from_index":1710,"to_index":2078,"sum":130887,"residue":235},{"from_index":2078,"to_index":238,"sum":129316,"residue":132}],"minimal_cycle":[235,499,602,499,235,132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":235,"start_interval_clock_positions":[238,606],"circle_positions":734,"cycle_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":[239,607,975,1343,1711,2079],"clock_positions":[239,607,975,1343,1711,2079],"native_values":[327,407,694,407,327,40],"rotation_degrees":38.96739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,407,694,407,327,40],"beta":{"interval_sums":[142092,138663,138789,127286,130715,129855],"interval_residues":[430,671,63,304,63,671],"display_cycle":[430,671,63,304,63,671],"intervals":[{"from_index":239,"to_index":607,"sum":142092,"residue":430},{"from_index":607,"to_index":975,"sum":138663,"residue":671},{"from_index":975,"to_index":1343,"sum":138789,"residue":63},{"from_index":1343,"to_index":1711,"sum":127286,"residue":304},{"from_index":1711,"to_index":2079,"sum":130715,"residue":63},{"from_index":2079,"to_index":239,"sum":129855,"residue":671}],"minimal_cycle":[430,671,63,304,63,671],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[239,607],"circle_positions":734,"cycle_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":[240,608,976,1344,1712,2080],"clock_positions":[240,608,976,1344,1712,2080],"native_values":[172,195,539,562,539,195],"rotation_degrees":39.130434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[172,195,539,562,539,195],"beta":{"interval_sums":[142327,139162,138657,127051,130216,129987],"interval_residues":[665,436,665,69,298,69],"display_cycle":[665,436,665,69,298,69],"intervals":[{"from_index":240,"to_index":608,"sum":142327,"residue":665},{"from_index":608,"to_index":976,"sum":139162,"residue":436},{"from_index":976,"to_index":1344,"sum":138657,"residue":665},{"from_index":1344,"to_index":1712,"sum":127051,"residue":69},{"from_index":1712,"to_index":2080,"sum":130216,"residue":298},{"from_index":2080,"to_index":240,"sum":129987,"residue":69}],"minimal_cycle":[665,436,665,69,298,69],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":665,"start_interval_clock_positions":[240,608],"circle_positions":734,"cycle_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":[241,609,977,1345,1713,2081],"clock_positions":[241,609,977,1345,1713,2081],"native_values":[499,602,499,235,132,235],"rotation_degrees":39.29347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[499,602,499,235,132,235],"beta":{"interval_sums":[142023,139099,138720,127355,130279,129924],"interval_residues":[361,373,728,373,361,6],"display_cycle":[361,373,728,373,361,6],"intervals":[{"from_index":241,"to_index":609,"sum":142023,"residue":361},{"from_index":609,"to_index":977,"sum":139099,"residue":373},{"from_index":977,"to_index":1345,"sum":138720,"residue":728},{"from_index":1345,"to_index":1713,"sum":127355,"residue":373},{"from_index":1713,"to_index":2081,"sum":130279,"residue":361},{"from_index":2081,"to_index":241,"sum":129924,"residue":6}],"minimal_cycle":[361,373,728,373,361,6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":361,"start_interval_clock_positions":[241,609],"circle_positions":734,"cycle_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":[242,610,978,1346,1714,2082],"clock_positions":[242,610,978,1346,1714,2082],"native_values":[671,63,304,63,671,430],"rotation_degrees":39.45652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,63,304,63,671,430],"beta":{"interval_sums":[141954,139535,138651,127424,129843,129993],"interval_residues":[292,75,659,442,659,75],"display_cycle":[292,75,659,442,659,75],"intervals":[{"from_index":242,"to_index":610,"sum":141954,"residue":292},{"from_index":610,"to_index":978,"sum":139535,"residue":75},{"from_index":978,"to_index":1346,"sum":138651,"residue":659},{"from_index":1346,"to_index":1714,"sum":127424,"residue":442},{"from_index":1714,"to_index":2082,"sum":129843,"residue":659},{"from_index":2082,"to_index":242,"sum":129993,"residue":75}],"minimal_cycle":[292,75,659,442,659,75],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[242,610],"circle_positions":734,"cycle_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":[243,611,979,1347,1715,2083],"clock_positions":[243,611,979,1347,1715,2083],"native_values":[436,665,69,298,69,665],"rotation_degrees":39.619565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[436,665,69,298,69,665],"beta":{"interval_sums":[141581,139174,138645,127797,130204,129999],"interval_residues":[653,448,653,81,286,81],"display_cycle":[653,448,653,81,286,81],"intervals":[{"from_index":243,"to_index":611,"sum":141581,"residue":653},{"from_index":611,"to_index":979,"sum":139174,"residue":448},{"from_index":979,"to_index":1347,"sum":138645,"residue":653},{"from_index":1347,"to_index":1715,"sum":127797,"residue":81},{"from_index":1715,"to_index":2083,"sum":130204,"residue":286},{"from_index":2083,"to_index":243,"sum":129999,"residue":81}],"minimal_cycle":[653,448,653,81,286,81],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":653,"start_interval_clock_positions":[243,611],"circle_positions":734,"cycle_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":[244,612,980,1348,1716,2084],"clock_positions":[244,612,980,1348,1716,2084],"native_values":[373,728,373,361,6,361],"rotation_degrees":39.78260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[373,728,373,361,6,361],"beta":{"interval_sums":[141873,138515,138570,127505,130863,130074],"interval_residues":[211,523,578,523,211,156],"display_cycle":[211,523,578,523,211,156],"intervals":[{"from_index":244,"to_index":612,"sum":141873,"residue":211},{"from_index":612,"to_index":980,"sum":138515,"residue":523},{"from_index":980,"to_index":1348,"sum":138570,"residue":578},{"from_index":1348,"to_index":1716,"sum":127505,"residue":523},{"from_index":1716,"to_index":2084,"sum":130863,"residue":211},{"from_index":2084,"to_index":244,"sum":130074,"residue":156}],"minimal_cycle":[211,523,578,523,211,156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":211,"start_interval_clock_positions":[244,612],"circle_positions":734,"cycle_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":[245,613,981,1349,1717,2085],"clock_positions":[245,613,981,1349,1717,2085],"native_values":[75,659,442,659,75,292],"rotation_degrees":39.94565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,659,442,659,75,292],"beta":{"interval_sums":[142526,138229,138489,126852,131149,130155],"interval_residues":[130,237,497,604,497,237],"display_cycle":[130,237,497,604,497,237],"intervals":[{"from_index":245,"to_index":613,"sum":142526,"residue":130},{"from_index":613,"to_index":981,"sum":138229,"residue":237},{"from_index":981,"to_index":1349,"sum":138489,"residue":497},{"from_index":1349,"to_index":1717,"sum":126852,"residue":604},{"from_index":1717,"to_index":2085,"sum":131149,"residue":497},{"from_index":2085,"to_index":245,"sum":130155,"residue":237}],"minimal_cycle":[130,237,497,604,497,237],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[245,613],"circle_positions":734,"cycle_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":[246,614,982,1350,1718,2086],"clock_positions":[246,614,982,1350,1718,2086],"native_values":[448,653,81,286,81,653],"rotation_degrees":40.108695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[448,653,81,286,81,653],"beta":{"interval_sums":[142737,138018,139067,126641,131360,129577],"interval_residues":[341,26,341,393,708,393],"display_cycle":[341,26,341,393,708,393],"intervals":[{"from_index":246,"to_index":614,"sum":142737,"residue":341},{"from_index":614,"to_index":982,"sum":138018,"residue":26},{"from_index":982,"to_index":1350,"sum":139067,"residue":341},{"from_index":1350,"to_index":1718,"sum":126641,"residue":393},{"from_index":1718,"to_index":2086,"sum":131360,"residue":708},{"from_index":2086,"to_index":246,"sum":129577,"residue":393}],"minimal_cycle":[341,26,341,393,708,393],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":341,"start_interval_clock_positions":[246,614],"circle_positions":734,"cycle_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":[247,615,983,1351,1719,2087],"clock_positions":[247,615,983,1351,1719,2087],"native_values":[523,578,523,211,156,211],"rotation_degrees":40.27173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,578,523,211,156,211],"beta":{"interval_sums":[142867,137521,138830,126511,131857,129814],"interval_residues":[471,263,104,263,471,630],"display_cycle":[471,263,104,263,471,630],"intervals":[{"from_index":247,"to_index":615,"sum":142867,"residue":471},{"from_index":615,"to_index":983,"sum":137521,"residue":263},{"from_index":983,"to_index":1351,"sum":138830,"residue":104},{"from_index":1351,"to_index":1719,"sum":126511,"residue":263},{"from_index":1719,"to_index":2087,"sum":131857,"residue":471},{"from_index":2087,"to_index":247,"sum":129814,"residue":630}],"minimal_cycle":[471,263,104,263,471,630],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":471,"start_interval_clock_positions":[247,615],"circle_positions":734,"cycle_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":[248,616,984,1352,1720,2088],"clock_positions":[248,616,984,1352,1720,2088],"native_values":[237,497,604,497,237,130],"rotation_degrees":40.43478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,497,604,497,237,130],"beta":{"interval_sums":[143208,137547,138437,126170,131831,130207],"interval_residues":[78,289,445,656,445,289],"display_cycle":[78,289,445,656,445,289],"intervals":[{"from_index":248,"to_index":616,"sum":143208,"residue":78},{"from_index":616,"to_index":984,"sum":137547,"residue":289},{"from_index":984,"to_index":1352,"sum":138437,"residue":445},{"from_index":1352,"to_index":1720,"sum":126170,"residue":656},{"from_index":1720,"to_index":2088,"sum":131831,"residue":445},{"from_index":2088,"to_index":248,"sum":130207,"residue":289}],"minimal_cycle":[78,289,445,656,445,289],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":78,"start_interval_clock_positions":[248,616],"circle_positions":734,"cycle_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":[249,617,985,1353,1721,2089],"clock_positions":[249,617,985,1353,1721,2089],"native_values":[26,341,393,708,393,341],"rotation_degrees":40.59782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[26,341,393,708,393,341],"beta":{"interval_sums":[143679,137810,138541,125699,131568,130103],"interval_residues":[549,552,549,185,182,185],"display_cycle":[549,552,549,185,182,185],"intervals":[{"from_index":249,"to_index":617,"sum":143679,"residue":549},{"from_index":617,"to_index":985,"sum":137810,"residue":552},{"from_index":985,"to_index":1353,"sum":138541,"residue":549},{"from_index":1353,"to_index":1721,"sum":125699,"residue":185},{"from_index":1721,"to_index":2089,"sum":131568,"residue":182},{"from_index":2089,"to_index":249,"sum":130103,"residue":185}],"minimal_cycle":[549,552,549,185,182,185],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":549,"start_interval_clock_positions":[249,617],"circle_positions":734,"cycle_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":[250,618,986,1354,1722,2090],"clock_positions":[250,618,986,1354,1722,2090],"native_values":[263,104,263,471,630,471],"rotation_degrees":40.76086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[263,104,263,471,630,471],"beta":{"interval_sums":[143757,138099,138986,125621,131279,129658],"interval_residues":[627,107,260,107,627,474],"display_cycle":[627,107,260,107,627,474],"intervals":[{"from_index":250,"to_index":618,"sum":143757,"residue":627},{"from_index":618,"to_index":986,"sum":138099,"residue":107},{"from_index":986,"to_index":1354,"sum":138986,"residue":260},{"from_index":1354,"to_index":1722,"sum":125621,"residue":107},{"from_index":1722,"to_index":2090,"sum":131279,"residue":627},{"from_index":2090,"to_index":250,"sum":129658,"residue":474}],"minimal_cycle":[627,107,260,107,627,474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":627,"start_interval_clock_positions":[250,618],"circle_positions":734,"cycle_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":[251,619,987,1355,1723,2091],"clock_positions":[251,619,987,1355,1723,2091],"native_values":[289,445,656,445,289,78],"rotation_degrees":40.92391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[289,445,656,445,289,78],"beta":{"interval_sums":[143572,137917,138801,125806,131461,129843],"interval_residues":[442,659,75,292,75,659],"display_cycle":[442,659,75,292,75,659],"intervals":[{"from_index":251,"to_index":619,"sum":143572,"residue":442},{"from_index":619,"to_index":987,"sum":137917,"residue":659},{"from_index":987,"to_index":1355,"sum":138801,"residue":75},{"from_index":1355,"to_index":1723,"sum":125806,"residue":292},{"from_index":1723,"to_index":2091,"sum":131461,"residue":75},{"from_index":2091,"to_index":251,"sum":129843,"residue":659}],"minimal_cycle":[442,659,75,292,75,659],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[251,619],"circle_positions":734,"cycle_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":[252,620,988,1356,1724,2092],"clock_positions":[252,620,988,1356,1724,2092],"native_values":[552,549,185,182,185,549],"rotation_degrees":41.08695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[552,549,185,182,185,549],"beta":{"interval_sums":[143465,138024,139061,125913,131354,129583],"interval_residues":[335,32,335,399,702,399],"display_cycle":[335,32,335,399,702,399],"intervals":[{"from_index":252,"to_index":620,"sum":143465,"residue":335},{"from_index":620,"to_index":988,"sum":138024,"residue":32},{"from_index":988,"to_index":1356,"sum":139061,"residue":335},{"from_index":1356,"to_index":1724,"sum":125913,"residue":399},{"from_index":1724,"to_index":2092,"sum":131354,"residue":702},{"from_index":2092,"to_index":252,"sum":129583,"residue":399}],"minimal_cycle":[335,32,335,399,702,399],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":335,"start_interval_clock_positions":[252,620],"circle_positions":734,"cycle_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":[253,621,989,1357,1725,2093],"clock_positions":[253,621,989,1357,1725,2093],"native_values":[107,260,107,627,474,627],"rotation_degrees":41.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[107,260,107,627,474,627],"beta":{"interval_sums":[143907,137949,139136,125471,131429,129508],"interval_residues":[43,691,410,691,43,324],"display_cycle":[43,691,410,691,43,324],"intervals":[{"from_index":253,"to_index":621,"sum":143907,"residue":43},{"from_index":621,"to_index":989,"sum":137949,"residue":691},{"from_index":989,"to_index":1357,"sum":139136,"residue":410},{"from_index":1357,"to_index":1725,"sum":125471,"residue":691},{"from_index":1725,"to_index":2093,"sum":131429,"residue":43},{"from_index":2093,"to_index":253,"sum":129508,"residue":324}],"minimal_cycle":[43,691,410,691,43,324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":43,"start_interval_clock_positions":[253,621],"circle_positions":734,"cycle_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":[254,622,990,1358,1726,2094],"clock_positions":[254,622,990,1358,1726,2094],"native_values":[659,75,292,75,659,442],"rotation_degrees":41.41304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[659,75,292,75,659,442],"beta":{"interval_sums":[143508,137981,139471,125870,131397,129173],"interval_residues":[378,723,11,356,11,723],"display_cycle":[378,723,11,356,11,723],"intervals":[{"from_index":254,"to_index":622,"sum":143508,"residue":378},{"from_index":622,"to_index":990,"sum":137981,"residue":723},{"from_index":990,"to_index":1358,"sum":139471,"residue":11},{"from_index":1358,"to_index":1726,"sum":125870,"residue":356},{"from_index":1726,"to_index":2094,"sum":131397,"residue":11},{"from_index":2094,"to_index":254,"sum":129173,"residue":723}],"minimal_cycle":[378,723,11,356,11,723],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[254,622],"circle_positions":734,"cycle_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":[255,623,991,1359,1727,2095],"clock_positions":[255,623,991,1359,1727,2095],"native_values":[32,335,399,702,399,335],"rotation_degrees":41.57608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[32,335,399,702,399,335],"beta":{"interval_sums":[143551,137938,139147,125827,131440,129497],"interval_residues":[421,680,421,313,54,313],"display_cycle":[421,680,421,313,54,313],"intervals":[{"from_index":255,"to_index":623,"sum":143551,"residue":421},{"from_index":623,"to_index":991,"sum":137938,"residue":680},{"from_index":991,"to_index":1359,"sum":139147,"residue":421},{"from_index":1359,"to_index":1727,"sum":125827,"residue":313},{"from_index":1727,"to_index":2095,"sum":131440,"residue":54},{"from_index":2095,"to_index":255,"sum":129497,"residue":313}],"minimal_cycle":[421,680,421,313,54,313],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":421,"start_interval_clock_positions":[255,623],"circle_positions":734,"cycle_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":[256,624,992,1360,1728,2096],"clock_positions":[256,624,992,1360,1728,2096],"native_values":[691,410,691,43,324,43],"rotation_degrees":41.73913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,410,691,43,324,43],"beta":{"interval_sums":[143195,137927,139158,126183,131451,129486],"interval_residues":[65,669,432,669,65,302],"display_cycle":[65,669,432,669,65,302],"intervals":[{"from_index":256,"to_index":624,"sum":143195,"residue":65},{"from_index":624,"to_index":992,"sum":137927,"residue":669},{"from_index":992,"to_index":1360,"sum":139158,"residue":432},{"from_index":1360,"to_index":1728,"sum":126183,"residue":669},{"from_index":1728,"to_index":2096,"sum":131451,"residue":65},{"from_index":2096,"to_index":256,"sum":129486,"residue":302}],"minimal_cycle":[65,669,432,669,65,302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":65,"start_interval_clock_positions":[256,624],"circle_positions":734,"cycle_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":[257,625,993,1361,1729,2097],"clock_positions":[257,625,993,1361,1729,2097],"native_values":[723,11,356,11,723,378],"rotation_degrees":41.90217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[723,11,356,11,723,378],"beta":{"interval_sums":[142882,138607,138845,126496,130771,129799],"interval_residues":[486,615,119,248,119,615],"display_cycle":[486,615,119,248,119,615],"intervals":[{"from_index":257,"to_index":625,"sum":142882,"residue":486},{"from_index":625,"to_index":993,"sum":138607,"residue":615},{"from_index":993,"to_index":1361,"sum":138845,"residue":119},{"from_index":1361,"to_index":1729,"sum":126496,"residue":248},{"from_index":1729,"to_index":2097,"sum":130771,"residue":119},{"from_index":2097,"to_index":257,"sum":129799,"residue":615}],"minimal_cycle":[486,615,119,248,119,615],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":486,"start_interval_clock_positions":[257,625],"circle_positions":734,"cycle_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":[258,626,994,1362,1730,2098],"clock_positions":[258,626,994,1362,1730,2098],"native_values":[680,421,313,54,313,421],"rotation_degrees":42.06521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[680,421,313,54,313,421],"beta":{"interval_sums":[142213,138542,138543,127165,130836,130101],"interval_residues":[551,550,551,183,184,183],"display_cycle":[551,550,551,183,184,183],"intervals":[{"from_index":258,"to_index":626,"sum":142213,"residue":551},{"from_index":626,"to_index":994,"sum":138542,"residue":550},{"from_index":994,"to_index":1362,"sum":138543,"residue":551},{"from_index":1362,"to_index":1730,"sum":127165,"residue":183},{"from_index":1730,"to_index":2098,"sum":130836,"residue":184},{"from_index":2098,"to_index":258,"sum":130101,"residue":183}],"minimal_cycle":[551,550,551,183,184,183],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":551,"start_interval_clock_positions":[258,626],"circle_positions":734,"cycle_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":[259,627,995,1363,1731,2099],"clock_positions":[259,627,995,1363,1731,2099],"native_values":[669,432,669,65,302,65],"rotation_degrees":42.22826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,432,669,65,302,65],"beta":{"interval_sums":[141965,138423,137928,127413,130955,130716],"interval_residues":[303,431,670,431,303,64],"display_cycle":[303,431,670,431,303,64],"intervals":[{"from_index":259,"to_index":627,"sum":141965,"residue":303},{"from_index":627,"to_index":995,"sum":138423,"residue":431},{"from_index":995,"to_index":1363,"sum":137928,"residue":670},{"from_index":1363,"to_index":1731,"sum":127413,"residue":431},{"from_index":1731,"to_index":2099,"sum":130955,"residue":303},{"from_index":2099,"to_index":259,"sum":130716,"residue":64}],"minimal_cycle":[303,431,670,431,303,64],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":303,"start_interval_clock_positions":[259,627],"circle_positions":734,"cycle_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":[260,628,996,1364,1732,2100],"clock_positions":[260,628,996,1364,1732,2100],"native_values":[615,119,248,119,615,486],"rotation_degrees":42.391304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[615,119,248,119,615,486],"beta":{"interval_sums":[141782,138973,137745,127596,130405,130899],"interval_residues":[120,247,487,614,487,247],"display_cycle":[120,247,487,614,487,247],"intervals":[{"from_index":260,"to_index":628,"sum":141782,"residue":120},{"from_index":628,"to_index":996,"sum":138973,"residue":247},{"from_index":996,"to_index":1364,"sum":137745,"residue":487},{"from_index":1364,"to_index":1732,"sum":127596,"residue":614},{"from_index":1732,"to_index":2100,"sum":130405,"residue":487},{"from_index":2100,"to_index":260,"sum":130899,"residue":247}],"minimal_cycle":[120,247,487,614,487,247],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[260,628],"circle_positions":734,"cycle_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":[261,629,997,1365,1733,2101],"clock_positions":[261,629,997,1365,1733,2101],"native_values":[550,551,183,184,183,551],"rotation_degrees":42.55434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[550,551,183,184,183,551],"beta":{"interval_sums":[141351,138670,137681,128027,130708,130963],"interval_residues":[423,678,423,311,56,311],"display_cycle":[423,678,423,311,56,311],"intervals":[{"from_index":261,"to_index":629,"sum":141351,"residue":423},{"from_index":629,"to_index":997,"sum":138670,"residue":678},{"from_index":997,"to_index":1365,"sum":137681,"residue":423},{"from_index":1365,"to_index":1733,"sum":128027,"residue":311},{"from_index":1733,"to_index":2101,"sum":130708,"residue":56},{"from_index":2101,"to_index":261,"sum":130963,"residue":311}],"minimal_cycle":[423,678,423,311,56,311],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":423,"start_interval_clock_positions":[261,629],"circle_positions":734,"cycle_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":[262,630,998,1366,1734,2102],"clock_positions":[262,630,998,1366,1734,2102],"native_values":[431,670,431,303,64,303],"rotation_degrees":42.71739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[431,670,431,303,64,303],"beta":{"interval_sums":[141471,138183,137434,127907,131195,131210],"interval_residues":[543,191,176,191,543,558],"display_cycle":[543,191,176,191,543,558],"intervals":[{"from_index":262,"to_index":630,"sum":141471,"residue":543},{"from_index":630,"to_index":998,"sum":138183,"residue":191},{"from_index":998,"to_index":1366,"sum":137434,"residue":176},{"from_index":1366,"to_index":1734,"sum":127907,"residue":191},{"from_index":1734,"to_index":2102,"sum":131195,"residue":543},{"from_index":2102,"to_index":262,"sum":131210,"residue":558}],"minimal_cycle":[543,191,176,191,543,558],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":543,"start_interval_clock_positions":[262,630],"circle_positions":734,"cycle_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":[263,631,999,1367,1735,2103],"clock_positions":[263,631,999,1367,1735,2103],"native_values":[247,487,614,487,247,120],"rotation_degrees":42.880434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,487,614,487,247,120],"beta":{"interval_sums":[141894,138127,137123,127484,131251,131521],"interval_residues":[232,135,599,502,599,135],"display_cycle":[232,135,599,502,599,135],"intervals":[{"from_index":263,"to_index":631,"sum":141894,"residue":232},{"from_index":631,"to_index":999,"sum":138127,"residue":135},{"from_index":999,"to_index":1367,"sum":137123,"residue":599},{"from_index":1367,"to_index":1735,"sum":127484,"residue":502},{"from_index":1735,"to_index":2103,"sum":131251,"residue":599},{"from_index":2103,"to_index":263,"sum":131521,"residue":135}],"minimal_cycle":[232,135,599,502,599,135],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[263,631],"circle_positions":734,"cycle_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":[264,632,1000,1368,1736,2104],"clock_positions":[264,632,1000,1368,1736,2104],"native_values":[678,423,311,56,311,423],"rotation_degrees":43.04347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[678,423,311,56,311,423],"beta":{"interval_sums":[141703,138318,137299,127675,131060,131345],"interval_residues":[41,326,41,693,408,693],"display_cycle":[41,326,41,693,408,693],"intervals":[{"from_index":264,"to_index":632,"sum":141703,"residue":41},{"from_index":632,"to_index":1000,"sum":138318,"residue":326},{"from_index":1000,"to_index":1368,"sum":137299,"residue":41},{"from_index":1368,"to_index":1736,"sum":127675,"residue":693},{"from_index":1736,"to_index":2104,"sum":131060,"residue":408},{"from_index":2104,"to_index":264,"sum":131345,"residue":693}],"minimal_cycle":[41,326,41,693,408,693],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":41,"start_interval_clock_positions":[264,632],"circle_positions":734,"cycle_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":[265,633,1001,1369,1737,2105],"clock_positions":[265,633,1001,1369,1737,2105],"native_values":[191,176,191,543,558,543],"rotation_degrees":43.20652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[191,176,191,543,558,543],"beta":{"interval_sums":[141935,138453,137164,127443,130925,131480],"interval_residues":[273,461,640,461,273,94],"display_cycle":[273,461,640,461,273,94],"intervals":[{"from_index":265,"to_index":633,"sum":141935,"residue":273},{"from_index":633,"to_index":1001,"sum":138453,"residue":461},{"from_index":1001,"to_index":1369,"sum":137164,"residue":640},{"from_index":1369,"to_index":1737,"sum":127443,"residue":461},{"from_index":1737,"to_index":2105,"sum":130925,"residue":273},{"from_index":2105,"to_index":265,"sum":131480,"residue":94}],"minimal_cycle":[273,461,640,461,273,94],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":273,"start_interval_clock_positions":[265,633],"circle_positions":734,"cycle_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":[266,634,1002,1370,1738,2106],"clock_positions":[266,634,1002,1370,1738,2106],"native_values":[135,599,502,599,135,232],"rotation_degrees":43.369565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,599,502,599,135,232],"beta":{"interval_sums":[141976,138045,137205,127402,131333,131439],"interval_residues":[314,53,681,420,681,53],"display_cycle":[314,53,681,420,681,53],"intervals":[{"from_index":266,"to_index":634,"sum":141976,"residue":314},{"from_index":634,"to_index":1002,"sum":138045,"residue":53},{"from_index":1002,"to_index":1370,"sum":137205,"residue":681},{"from_index":1370,"to_index":1738,"sum":127402,"residue":420},{"from_index":1738,"to_index":2106,"sum":131333,"residue":681},{"from_index":2106,"to_index":266,"sum":131439,"residue":53}],"minimal_cycle":[314,53,681,420,681,53],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":314,"start_interval_clock_positions":[266,634],"circle_positions":734,"cycle_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":[267,635,1003,1371,1739,2107],"clock_positions":[267,635,1003,1371,1739,2107],"native_values":[326,41,693,408,693,41],"rotation_degrees":43.53260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[326,41,693,408,693,41],"beta":{"interval_sums":[142249,138506,137111,127129,130872,131533],"interval_residues":[587,514,587,147,220,147],"display_cycle":[587,514,587,147,220,147],"intervals":[{"from_index":267,"to_index":635,"sum":142249,"residue":587},{"from_index":635,"to_index":1003,"sum":138506,"residue":514},{"from_index":1003,"to_index":1371,"sum":137111,"residue":587},{"from_index":1371,"to_index":1739,"sum":127129,"residue":147},{"from_index":1739,"to_index":2107,"sum":130872,"residue":220},{"from_index":2107,"to_index":267,"sum":131533,"residue":147}],"minimal_cycle":[587,514,587,147,220,147],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":587,"start_interval_clock_positions":[267,635],"circle_positions":734,"cycle_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":[268,636,1004,1372,1740,2108],"clock_positions":[268,636,1004,1372,1740,2108],"native_values":[461,640,461,273,94,273],"rotation_degrees":43.69565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,640,461,273,94,273],"beta":{"interval_sums":[141829,138559,137058,127549,130819,131586],"interval_residues":[167,567,534,567,167,200],"display_cycle":[167,567,534,567,167,200],"intervals":[{"from_index":268,"to_index":636,"sum":141829,"residue":167},{"from_index":636,"to_index":1004,"sum":138559,"residue":567},{"from_index":1004,"to_index":1372,"sum":137058,"residue":534},{"from_index":1372,"to_index":1740,"sum":127549,"residue":567},{"from_index":1740,"to_index":2108,"sum":130819,"residue":167},{"from_index":2108,"to_index":268,"sum":131586,"residue":200}],"minimal_cycle":[167,567,534,567,167,200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":167,"start_interval_clock_positions":[268,636],"circle_positions":734,"cycle_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":[269,637,1005,1373,1741,2109],"clock_positions":[269,637,1005,1373,1741,2109],"native_values":[53,681,420,681,53,314],"rotation_degrees":43.858695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,681,420,681,53,314],"beta":{"interval_sums":[142416,138339,136911,126962,131039,131733],"interval_residues":[20,347,387,714,387,347],"display_cycle":[20,347,387,714,387,347],"intervals":[{"from_index":269,"to_index":637,"sum":142416,"residue":20},{"from_index":637,"to_index":1005,"sum":138339,"residue":347},{"from_index":1005,"to_index":1373,"sum":136911,"residue":387},{"from_index":1373,"to_index":1741,"sum":126962,"residue":714},{"from_index":1741,"to_index":2109,"sum":131039,"residue":387},{"from_index":2109,"to_index":269,"sum":131733,"residue":347}],"minimal_cycle":[20,347,387,714,387,347],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":20,"start_interval_clock_positions":[269,637],"circle_positions":734,"cycle_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":[270,638,1006,1374,1742,2110],"clock_positions":[270,638,1006,1374,1742,2110],"native_values":[514,587,147,220,147,587],"rotation_degrees":44.02173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[514,587,147,220,147,587],"beta":{"interval_sums":[142583,138172,137445,126795,131206,131199],"interval_residues":[187,180,187,547,554,547],"display_cycle":[187,180,187,547,554,547],"intervals":[{"from_index":270,"to_index":638,"sum":142583,"residue":187},{"from_index":638,"to_index":1006,"sum":138172,"residue":180},{"from_index":1006,"to_index":1374,"sum":137445,"residue":187},{"from_index":1374,"to_index":1742,"sum":126795,"residue":547},{"from_index":1742,"to_index":2110,"sum":131206,"residue":554},{"from_index":2110,"to_index":270,"sum":131199,"residue":547}],"minimal_cycle":[187,180,187,547,554,547],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":187,"start_interval_clock_positions":[270,638],"circle_positions":734,"cycle_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":[271,639,1007,1375,1743,2111],"clock_positions":[271,639,1007,1375,1743,2111],"native_values":[567,534,567,167,200,167],"rotation_degrees":44.18478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,534,567,167,200,167],"beta":{"interval_sums":[142603,137785,137098,126775,131593,131546],"interval_residues":[207,527,574,527,207,160],"display_cycle":[207,527,574,527,207,160],"intervals":[{"from_index":271,"to_index":639,"sum":142603,"residue":207},{"from_index":639,"to_index":1007,"sum":137785,"residue":527},{"from_index":1007,"to_index":1375,"sum":137098,"residue":574},{"from_index":1375,"to_index":1743,"sum":126775,"residue":527},{"from_index":1743,"to_index":2111,"sum":131593,"residue":207},{"from_index":2111,"to_index":271,"sum":131546,"residue":160}],"minimal_cycle":[207,527,574,527,207,160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":207,"start_interval_clock_positions":[271,639],"circle_positions":734,"cycle_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":[272,640,1008,1376,1744,2112],"clock_positions":[272,640,1008,1376,1744,2112],"native_values":[347,387,714,387,347,20],"rotation_degrees":44.34782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,387,714,387,347,20],"beta":{"interval_sums":[142790,137965,136551,126588,131413,132093],"interval_residues":[394,707,27,340,27,707],"display_cycle":[394,707,27,340,27,707],"intervals":[{"from_index":272,"to_index":640,"sum":142790,"residue":394},{"from_index":640,"to_index":1008,"sum":137965,"residue":707},{"from_index":1008,"to_index":1376,"sum":136551,"residue":27},{"from_index":1376,"to_index":1744,"sum":126588,"residue":340},{"from_index":1744,"to_index":2112,"sum":131413,"residue":27},{"from_index":2112,"to_index":272,"sum":132093,"residue":707}],"minimal_cycle":[394,707,27,340,27,707],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[272,640],"circle_positions":734,"cycle_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":[273,641,1009,1377,1745,2113],"clock_positions":[273,641,1009,1377,1745,2113],"native_values":[180,187,547,554,547,187],"rotation_degrees":44.51086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,187,547,554,547,187],"beta":{"interval_sums":[142997,138492,136391,126381,130886,132253],"interval_residues":[601,500,601,133,234,133],"display_cycle":[601,500,601,133,234,133],"intervals":[{"from_index":273,"to_index":641,"sum":142997,"residue":601},{"from_index":641,"to_index":1009,"sum":138492,"residue":500},{"from_index":1009,"to_index":1377,"sum":136391,"residue":601},{"from_index":1377,"to_index":1745,"sum":126381,"residue":133},{"from_index":1745,"to_index":2113,"sum":130886,"residue":234},{"from_index":2113,"to_index":273,"sum":132253,"residue":133}],"minimal_cycle":[601,500,601,133,234,133],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":601,"start_interval_clock_positions":[273,641],"circle_positions":734,"cycle_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":[274,642,1010,1378,1746,2114],"clock_positions":[274,642,1010,1378,1746,2114],"native_values":[527,574,527,207,160,207],"rotation_degrees":44.67391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,574,527,207,160,207],"beta":{"interval_sums":[142657,138465,136418,126721,130913,132226],"interval_residues":[261,473,628,473,261,106],"display_cycle":[261,473,628,473,261,106],"intervals":[{"from_index":274,"to_index":642,"sum":142657,"residue":261},{"from_index":642,"to_index":1010,"sum":138465,"residue":473},{"from_index":1010,"to_index":1378,"sum":136418,"residue":628},{"from_index":1378,"to_index":1746,"sum":126721,"residue":473},{"from_index":1746,"to_index":2114,"sum":130913,"residue":261},{"from_index":2114,"to_index":274,"sum":132226,"residue":106}],"minimal_cycle":[261,473,628,473,261,106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":261,"start_interval_clock_positions":[274,642],"circle_positions":734,"cycle_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":[275,643,1011,1379,1747,2115],"clock_positions":[275,643,1011,1379,1747,2115],"native_values":[707,27,340,27,707,394],"rotation_degrees":44.83695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[707,27,340,27,707,394],"beta":{"interval_sums":[142524,138965,136285,126854,130413,132359],"interval_residues":[128,239,495,606,495,239],"display_cycle":[128,239,495,606,495,239],"intervals":[{"from_index":275,"to_index":643,"sum":142524,"residue":128},{"from_index":643,"to_index":1011,"sum":138965,"residue":239},{"from_index":1011,"to_index":1379,"sum":136285,"residue":495},{"from_index":1379,"to_index":1747,"sum":126854,"residue":606},{"from_index":1747,"to_index":2115,"sum":130413,"residue":495},{"from_index":2115,"to_index":275,"sum":132359,"residue":239}],"minimal_cycle":[128,239,495,606,495,239],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":128,"start_interval_clock_positions":[275,643],"circle_positions":734,"cycle_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":[276,644,1012,1380,1748,2116],"clock_positions":[276,644,1012,1380,1748,2116],"native_values":[500,601,133,234,133,601],"rotation_degrees":45.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[500,601,133,234,133,601],"beta":{"interval_sums":[142051,138704,136179,127327,130674,132465],"interval_residues":[389,712,389,345,22,345],"display_cycle":[389,712,389,345,22,345],"intervals":[{"from_index":276,"to_index":644,"sum":142051,"residue":389},{"from_index":644,"to_index":1012,"sum":138704,"residue":712},{"from_index":1012,"to_index":1380,"sum":136179,"residue":389},{"from_index":1380,"to_index":1748,"sum":127327,"residue":345},{"from_index":1748,"to_index":2116,"sum":130674,"residue":22},{"from_index":2116,"to_index":276,"sum":132465,"residue":345}],"minimal_cycle":[389,712,389,345,22,345],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":389,"start_interval_clock_positions":[276,644],"circle_positions":734,"cycle_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":[277,645,1013,1381,1749,2117],"clock_positions":[277,645,1013,1381,1749,2117],"native_values":[473,628,473,261,106,261],"rotation_degrees":45.16304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,628,473,261,106,261],"beta":{"interval_sums":[142179,138209,135940,127199,131169,132704],"interval_residues":[517,217,150,217,517,584],"display_cycle":[517,217,150,217,517,584],"intervals":[{"from_index":277,"to_index":645,"sum":142179,"residue":517},{"from_index":645,"to_index":1013,"sum":138209,"residue":217},{"from_index":1013,"to_index":1381,"sum":135940,"residue":150},{"from_index":1381,"to_index":1749,"sum":127199,"residue":217},{"from_index":1749,"to_index":2117,"sum":131169,"residue":517},{"from_index":2117,"to_index":277,"sum":132704,"residue":584}],"minimal_cycle":[517,217,150,217,517,584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":517,"start_interval_clock_positions":[277,645],"circle_positions":734,"cycle_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":[278,646,1014,1382,1750,2118],"clock_positions":[278,646,1014,1382,1750,2118],"native_values":[239,495,606,495,239,128],"rotation_degrees":45.32608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,495,606,495,239,128],"beta":{"interval_sums":[142568,138187,135595,126810,131191,133049],"interval_residues":[172,195,539,562,539,195],"display_cycle":[172,195,539,562,539,195],"intervals":[{"from_index":278,"to_index":646,"sum":142568,"residue":172},{"from_index":646,"to_index":1014,"sum":138187,"residue":195},{"from_index":1014,"to_index":1382,"sum":135595,"residue":539},{"from_index":1382,"to_index":1750,"sum":126810,"residue":562},{"from_index":1750,"to_index":2118,"sum":131191,"residue":539},{"from_index":2118,"to_index":278,"sum":133049,"residue":195}],"minimal_cycle":[172,195,539,562,539,195],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":172,"start_interval_clock_positions":[278,646],"circle_positions":734,"cycle_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":[279,647,1015,1383,1751,2119],"clock_positions":[279,647,1015,1383,1751,2119],"native_values":[712,389,345,22,345,389],"rotation_degrees":45.48913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[712,389,345,22,345,389],"beta":{"interval_sums":[142351,138404,135745,127027,130974,132899],"interval_residues":[689,412,689,45,322,45],"display_cycle":[689,412,689,45,322,45],"intervals":[{"from_index":279,"to_index":647,"sum":142351,"residue":689},{"from_index":647,"to_index":1015,"sum":138404,"residue":412},{"from_index":1015,"to_index":1383,"sum":135745,"residue":689},{"from_index":1383,"to_index":1751,"sum":127027,"residue":45},{"from_index":1751,"to_index":2119,"sum":130974,"residue":322},{"from_index":2119,"to_index":279,"sum":132899,"residue":45}],"minimal_cycle":[689,412,689,45,322,45],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":689,"start_interval_clock_positions":[279,647],"circle_positions":734,"cycle_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":[280,648,1016,1384,1752,2120],"clock_positions":[280,648,1016,1384,1752,2120],"native_values":[217,150,217,517,584,517],"rotation_degrees":45.65217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[217,150,217,517,584,517],"beta":{"interval_sums":[142523,138599,135550,126855,130779,133094],"interval_residues":[127,607,494,607,127,240],"display_cycle":[127,607,494,607,127,240],"intervals":[{"from_index":280,"to_index":648,"sum":142523,"residue":127},{"from_index":648,"to_index":1016,"sum":138599,"residue":607},{"from_index":1016,"to_index":1384,"sum":135550,"residue":494},{"from_index":1384,"to_index":1752,"sum":126855,"residue":607},{"from_index":1752,"to_index":2120,"sum":130779,"residue":127},{"from_index":2120,"to_index":280,"sum":133094,"residue":240}],"minimal_cycle":[127,607,494,607,127,240],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":127,"start_interval_clock_positions":[280,648],"circle_positions":734,"cycle_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":[281,649,1017,1385,1753,2121],"clock_positions":[281,649,1017,1385,1753,2121],"native_values":[195,539,562,539,195,172],"rotation_degrees":45.81521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,539,562,539,195,172],"beta":{"interval_sums":[142478,138277,135505,126900,131101,133139],"interval_residues":[82,285,449,652,449,285],"display_cycle":[82,285,449,652,449,285],"intervals":[{"from_index":281,"to_index":649,"sum":142478,"residue":82},{"from_index":649,"to_index":1017,"sum":138277,"residue":285},{"from_index":1017,"to_index":1385,"sum":135505,"residue":449},{"from_index":1385,"to_index":1753,"sum":126900,"residue":652},{"from_index":1753,"to_index":2121,"sum":131101,"residue":449},{"from_index":2121,"to_index":281,"sum":133139,"residue":285}],"minimal_cycle":[82,285,449,652,449,285],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[281,649],"circle_positions":734,"cycle_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":[282,650,1018,1386,1754,2122],"clock_positions":[282,650,1018,1386,1754,2122],"native_values":[412,689,45,322,45,689],"rotation_degrees":45.97826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[412,689,45,322,45,689],"beta":{"interval_sums":[142605,138150,135999,126773,131228,132645],"interval_residues":[209,158,209,525,576,525],"display_cycle":[209,158,209,525,576,525],"intervals":[{"from_index":282,"to_index":650,"sum":142605,"residue":209},{"from_index":650,"to_index":1018,"sum":138150,"residue":158},{"from_index":1018,"to_index":1386,"sum":135999,"residue":209},{"from_index":1386,"to_index":1754,"sum":126773,"residue":525},{"from_index":1754,"to_index":2122,"sum":131228,"residue":576},{"from_index":2122,"to_index":282,"sum":132645,"residue":525}],"minimal_cycle":[209,158,209,525,576,525],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":209,"start_interval_clock_positions":[282,650],"circle_positions":734,"cycle_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":[283,651,1019,1387,1755,2123],"clock_positions":[283,651,1019,1387,1755,2123],"native_values":[607,494,607,127,240,127],"rotation_degrees":46.141304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[607,494,607,127,240,127],"beta":{"interval_sums":[142687,137701,135714,126691,131677,132930],"interval_residues":[291,443,658,443,291,76],"display_cycle":[291,443,658,443,291,76],"intervals":[{"from_index":283,"to_index":651,"sum":142687,"residue":291},{"from_index":651,"to_index":1019,"sum":137701,"residue":443},{"from_index":1019,"to_index":1387,"sum":135714,"residue":658},{"from_index":1387,"to_index":1755,"sum":126691,"residue":443},{"from_index":1755,"to_index":2123,"sum":131677,"residue":291},{"from_index":2123,"to_index":283,"sum":132930,"residue":76}],"minimal_cycle":[291,443,658,443,291,76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":291,"start_interval_clock_positions":[283,651],"circle_positions":734,"cycle_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":[284,652,1020,1388,1756,2124],"clock_positions":[284,652,1020,1388,1756,2124],"native_values":[285,449,652,449,285,82],"rotation_degrees":46.30434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[285,449,652,449,285,82],"beta":{"interval_sums":[142896,137859,135189,126482,131519,133455],"interval_residues":[500,601,133,234,133,601],"display_cycle":[500,601,133,234,133,601],"intervals":[{"from_index":284,"to_index":652,"sum":142896,"residue":500},{"from_index":652,"to_index":1020,"sum":137859,"residue":601},{"from_index":1020,"to_index":1388,"sum":135189,"residue":133},{"from_index":1388,"to_index":1756,"sum":126482,"residue":234},{"from_index":1756,"to_index":2124,"sum":131519,"residue":133},{"from_index":2124,"to_index":284,"sum":133455,"residue":601}],"minimal_cycle":[500,601,133,234,133,601],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[284,652],"circle_positions":734,"cycle_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":[285,653,1021,1389,1757,2125],"clock_positions":[285,653,1021,1389,1757,2125],"native_values":[158,209,525,576,525,209],"rotation_degrees":46.46739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[158,209,525,576,525,209],"beta":{"interval_sums":[143187,138302,135113,126191,131076,133531],"interval_residues":[57,310,57,677,424,677],"display_cycle":[57,310,57,677,424,677],"intervals":[{"from_index":285,"to_index":653,"sum":143187,"residue":57},{"from_index":653,"to_index":1021,"sum":138302,"residue":310},{"from_index":1021,"to_index":1389,"sum":135113,"residue":57},{"from_index":1389,"to_index":1757,"sum":126191,"residue":677},{"from_index":1757,"to_index":2125,"sum":131076,"residue":424},{"from_index":2125,"to_index":285,"sum":133531,"residue":677}],"minimal_cycle":[57,310,57,677,424,677],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":57,"start_interval_clock_positions":[285,653],"circle_positions":734,"cycle_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":[286,654,1022,1390,1758,2126],"clock_positions":[286,654,1022,1390,1758,2126],"native_values":[443,658,443,291,76,291],"rotation_degrees":46.630434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,658,443,291,76,291],"beta":{"interval_sums":[142953,138169,135246,126425,131209,133398],"interval_residues":[557,177,190,177,557,544],"display_cycle":[557,177,190,177,557,544],"intervals":[{"from_index":286,"to_index":654,"sum":142953,"residue":557},{"from_index":654,"to_index":1022,"sum":138169,"residue":177},{"from_index":1022,"to_index":1390,"sum":135246,"residue":190},{"from_index":1390,"to_index":1758,"sum":126425,"residue":177},{"from_index":1758,"to_index":2126,"sum":131209,"residue":557},{"from_index":2126,"to_index":286,"sum":133398,"residue":544}],"minimal_cycle":[557,177,190,177,557,544],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":557,"start_interval_clock_positions":[286,654],"circle_positions":734,"cycle_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":[287,655,1023,1391,1759,2127],"clock_positions":[287,655,1023,1391,1759,2127],"native_values":[601,133,234,133,601,500],"rotation_degrees":46.79347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[601,133,234,133,601,500],"beta":{"interval_sums":[143010,138479,135303,126368,130899,133341],"interval_residues":[614,487,247,120,247,487],"display_cycle":[614,487,247,120,247,487],"intervals":[{"from_index":287,"to_index":655,"sum":143010,"residue":614},{"from_index":655,"to_index":1023,"sum":138479,"residue":487},{"from_index":1023,"to_index":1391,"sum":135303,"residue":247},{"from_index":1391,"to_index":1759,"sum":126368,"residue":120},{"from_index":1759,"to_index":2127,"sum":130899,"residue":247},{"from_index":2127,"to_index":287,"sum":133341,"residue":487}],"minimal_cycle":[614,487,247,120,247,487],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":614,"start_interval_clock_positions":[287,655],"circle_positions":734,"cycle_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":[288,656,1024,1392,1760,2128],"clock_positions":[288,656,1024,1392,1760,2128],"native_values":[310,57,677,424,677,57],"rotation_degrees":46.95652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[310,57,677,424,677,57],"beta":{"interval_sums":[142833,138656,134759,126545,130722,133885],"interval_residues":[437,664,437,297,70,297],"display_cycle":[437,664,437,297,70,297],"intervals":[{"from_index":288,"to_index":656,"sum":142833,"residue":437},{"from_index":656,"to_index":1024,"sum":138656,"residue":664},{"from_index":1024,"to_index":1392,"sum":134759,"residue":437},{"from_index":1392,"to_index":1760,"sum":126545,"residue":297},{"from_index":1760,"to_index":2128,"sum":130722,"residue":70},{"from_index":2128,"to_index":288,"sum":133885,"residue":297}],"minimal_cycle":[437,664,437,297,70,297],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":437,"start_interval_clock_positions":[288,656],"circle_positions":734,"cycle_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":[289,657,1025,1393,1761,2129],"clock_positions":[289,657,1025,1393,1761,2129],"native_values":[177,190,177,557,544,557],"rotation_degrees":47.119565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,190,177,557,544,557],"beta":{"interval_sums":[142713,139143,135006,126665,130235,133638],"interval_residues":[317,417,684,417,317,50],"display_cycle":[317,417,684,417,317,50],"intervals":[{"from_index":289,"to_index":657,"sum":142713,"residue":317},{"from_index":657,"to_index":1025,"sum":139143,"residue":417},{"from_index":1025,"to_index":1393,"sum":135006,"residue":684},{"from_index":1393,"to_index":1761,"sum":126665,"residue":417},{"from_index":1761,"to_index":2129,"sum":130235,"residue":317},{"from_index":2129,"to_index":289,"sum":133638,"residue":50}],"minimal_cycle":[317,417,684,417,317,50],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":317,"start_interval_clock_positions":[289,657],"circle_positions":734,"cycle_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":[290,658,1026,1394,1762,2130],"clock_positions":[290,658,1026,1394,1762,2130],"native_values":[487,247,120,247,487,614],"rotation_degrees":47.28260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[487,247,120,247,487,614],"beta":{"interval_sums":[142416,139073,135443,126962,130305,133201],"interval_residues":[20,347,387,714,387,347],"display_cycle":[20,347,387,714,387,347],"intervals":[{"from_index":290,"to_index":658,"sum":142416,"residue":20},{"from_index":658,"to_index":1026,"sum":139073,"residue":347},{"from_index":1026,"to_index":1394,"sum":135443,"residue":387},{"from_index":1394,"to_index":1762,"sum":126962,"residue":714},{"from_index":1762,"to_index":2130,"sum":130305,"residue":387},{"from_index":2130,"to_index":290,"sum":133201,"residue":347}],"minimal_cycle":[20,347,387,714,387,347],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":20,"start_interval_clock_positions":[290,658],"circle_positions":734,"cycle_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":[291,659,1027,1395,1763,2131],"clock_positions":[291,659,1027,1395,1763,2131],"native_values":[664,437,297,70,297,437],"rotation_degrees":47.44565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[664,437,297,70,297,437],"beta":{"interval_sums":[141999,138756,135393,127379,130622,133251],"interval_residues":[337,30,337,397,704,397],"display_cycle":[337,30,337,397,704,397],"intervals":[{"from_index":291,"to_index":659,"sum":141999,"residue":337},{"from_index":659,"to_index":1027,"sum":138756,"residue":30},{"from_index":1027,"to_index":1395,"sum":135393,"residue":337},{"from_index":1395,"to_index":1763,"sum":127379,"residue":397},{"from_index":1763,"to_index":2131,"sum":130622,"residue":704},{"from_index":2131,"to_index":291,"sum":133251,"residue":397}],"minimal_cycle":[337,30,337,397,704,397],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":337,"start_interval_clock_positions":[291,659],"circle_positions":734,"cycle_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":[292,660,1028,1396,1764,2132],"clock_positions":[292,660,1028,1396,1764,2132],"native_values":[417,684,417,317,50,317],"rotation_degrees":47.608695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,684,417,317,50,317],"beta":{"interval_sums":[142019,138369,135046,127359,131009,133598],"interval_residues":[357,377,724,377,357,10],"display_cycle":[357,377,724,377,357,10],"intervals":[{"from_index":292,"to_index":660,"sum":142019,"residue":357},{"from_index":660,"to_index":1028,"sum":138369,"residue":377},{"from_index":1028,"to_index":1396,"sum":135046,"residue":724},{"from_index":1396,"to_index":1764,"sum":127359,"residue":377},{"from_index":1764,"to_index":2132,"sum":131009,"residue":357},{"from_index":2132,"to_index":292,"sum":133598,"residue":10}],"minimal_cycle":[357,377,724,377,357,10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":357,"start_interval_clock_positions":[292,660],"circle_positions":734,"cycle_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":[293,661,1029,1397,1765,2133],"clock_positions":[293,661,1029,1397,1765,2133],"native_values":[347,387,714,387,347,20],"rotation_degrees":47.77173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,387,714,387,347,20],"beta":{"interval_sums":[142356,138399,134649,127022,130979,133995],"interval_residues":[694,407,327,40,327,407],"display_cycle":[694,407,327,40,327,407],"intervals":[{"from_index":293,"to_index":661,"sum":142356,"residue":694},{"from_index":661,"to_index":1029,"sum":138399,"residue":407},{"from_index":1029,"to_index":1397,"sum":134649,"residue":327},{"from_index":1397,"to_index":1765,"sum":127022,"residue":40},{"from_index":1765,"to_index":2133,"sum":130979,"residue":327},{"from_index":2133,"to_index":293,"sum":133995,"residue":407}],"minimal_cycle":[694,407,327,40,327,407],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":694,"start_interval_clock_positions":[293,661],"circle_positions":734,"cycle_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":[294,662,1030,1398,1766,2134],"clock_positions":[294,662,1030,1398,1766,2134],"native_values":[30,337,397,704,397,337],"rotation_degrees":47.93478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[30,337,397,704,397,337],"beta":{"interval_sums":[142713,138776,134639,126665,130602,134005],"interval_residues":[317,50,317,417,684,417],"display_cycle":[317,50,317,417,684,417],"intervals":[{"from_index":294,"to_index":662,"sum":142713,"residue":317},{"from_index":662,"to_index":1030,"sum":138776,"residue":50},{"from_index":1030,"to_index":1398,"sum":134639,"residue":317},{"from_index":1398,"to_index":1766,"sum":126665,"residue":417},{"from_index":1766,"to_index":2134,"sum":130602,"residue":684},{"from_index":2134,"to_index":294,"sum":134005,"residue":417}],"minimal_cycle":[317,50,317,417,684,417],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":317,"start_interval_clock_positions":[294,662],"circle_positions":734,"cycle_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":[295,663,1031,1399,1767,2135],"clock_positions":[295,663,1031,1399,1767,2135],"native_values":[377,724,377,357,10,357],"rotation_degrees":48.09782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,724,377,357,10,357],"beta":{"interval_sums":[142673,138449,134966,126705,130929,133678],"interval_residues":[277,457,644,457,277,90],"display_cycle":[277,457,644,457,277,90],"intervals":[{"from_index":295,"to_index":663,"sum":142673,"residue":277},{"from_index":663,"to_index":1031,"sum":138449,"residue":457},{"from_index":1031,"to_index":1399,"sum":134966,"residue":644},{"from_index":1399,"to_index":1767,"sum":126705,"residue":457},{"from_index":1767,"to_index":2135,"sum":130929,"residue":277},{"from_index":2135,"to_index":295,"sum":133678,"residue":90}],"minimal_cycle":[277,457,644,457,277,90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":277,"start_interval_clock_positions":[295,663],"circle_positions":734,"cycle_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":[296,664,1032,1400,1768,2136],"clock_positions":[296,664,1032,1400,1768,2136],"native_values":[407,327,40,327,407,694],"rotation_degrees":48.26086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[407,327,40,327,407,694],"beta":{"interval_sums":[142990,138499,135283,126388,130879,133361],"interval_residues":[594,507,227,140,227,507],"display_cycle":[594,507,227,140,227,507],"intervals":[{"from_index":296,"to_index":664,"sum":142990,"residue":594},{"from_index":664,"to_index":1032,"sum":138499,"residue":507},{"from_index":1032,"to_index":1400,"sum":135283,"residue":227},{"from_index":1400,"to_index":1768,"sum":126388,"residue":140},{"from_index":1768,"to_index":2136,"sum":130879,"residue":227},{"from_index":2136,"to_index":296,"sum":133361,"residue":507}],"minimal_cycle":[594,507,227,140,227,507],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":594,"start_interval_clock_positions":[296,664],"circle_positions":734,"cycle_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":[297,665,1033,1401,1769,2137],"clock_positions":[297,665,1033,1401,1769,2137],"native_values":[50,317,417,684,417,317],"rotation_degrees":48.42391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[50,317,417,684,417,317],"beta":{"interval_sums":[143267,138222,135193,126111,131156,133451],"interval_residues":[137,230,137,597,504,597],"display_cycle":[137,230,137,597,504,597],"intervals":[{"from_index":297,"to_index":665,"sum":143267,"residue":137},{"from_index":665,"to_index":1033,"sum":138222,"residue":230},{"from_index":1033,"to_index":1401,"sum":135193,"residue":137},{"from_index":1401,"to_index":1769,"sum":126111,"residue":597},{"from_index":1769,"to_index":2137,"sum":131156,"residue":504},{"from_index":2137,"to_index":297,"sum":133451,"residue":597}],"minimal_cycle":[137,230,137,597,504,597],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":137,"start_interval_clock_positions":[297,665],"circle_positions":734,"cycle_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":[298,666,1034,1402,1770,2138],"clock_positions":[298,666,1034,1402,1770,2138],"native_values":[457,644,457,277,90,277],"rotation_degrees":48.58695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,644,457,277,90,277],"beta":{"interval_sums":[143127,137995,135420,126251,131383,133224],"interval_residues":[731,3,364,3,731,370],"display_cycle":[731,3,364,3,731,370],"intervals":[{"from_index":298,"to_index":666,"sum":143127,"residue":731},{"from_index":666,"to_index":1034,"sum":137995,"residue":3},{"from_index":1034,"to_index":1402,"sum":135420,"residue":364},{"from_index":1402,"to_index":1770,"sum":126251,"residue":3},{"from_index":1770,"to_index":2138,"sum":131383,"residue":731},{"from_index":2138,"to_index":298,"sum":133224,"residue":370}],"minimal_cycle":[731,3,364,3,731,370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":731,"start_interval_clock_positions":[298,666],"circle_positions":734,"cycle_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":[299,667,1035,1403,1771,2139],"clock_positions":[299,667,1035,1403,1771,2139],"native_values":[507,227,140,227,507,594],"rotation_degrees":48.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[507,227,140,227,507,594],"beta":{"interval_sums":[143264,138225,135557,126114,131153,133087],"interval_residues":[134,233,501,600,501,233],"display_cycle":[134,233,501,600,501,233],"intervals":[{"from_index":299,"to_index":667,"sum":143264,"residue":134},{"from_index":667,"to_index":1035,"sum":138225,"residue":233},{"from_index":1035,"to_index":1403,"sum":135557,"residue":501},{"from_index":1403,"to_index":1771,"sum":126114,"residue":600},{"from_index":1771,"to_index":2139,"sum":131153,"residue":501},{"from_index":2139,"to_index":299,"sum":133087,"residue":233}],"minimal_cycle":[134,233,501,600,501,233],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[299,667],"circle_positions":734,"cycle_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":[300,668,1036,1404,1772,2140],"clock_positions":[300,668,1036,1404,1772,2140],"native_values":[230,137,597,504,597,137],"rotation_degrees":48.91304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[230,137,597,504,597,137],"beta":{"interval_sums":[143261,138228,135187,126117,131150,133457],"interval_residues":[131,236,131,603,498,603],"display_cycle":[131,236,131,603,498,603],"intervals":[{"from_index":300,"to_index":668,"sum":143261,"residue":131},{"from_index":668,"to_index":1036,"sum":138228,"residue":236},{"from_index":1036,"to_index":1404,"sum":135187,"residue":131},{"from_index":1404,"to_index":1772,"sum":126117,"residue":603},{"from_index":1772,"to_index":2140,"sum":131150,"residue":498},{"from_index":2140,"to_index":300,"sum":133457,"residue":603}],"minimal_cycle":[131,236,131,603,498,603],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":131,"start_interval_clock_positions":[300,668],"circle_positions":734,"cycle_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":[301,669,1037,1405,1773,2141],"clock_positions":[301,669,1037,1405,1773,2141],"native_values":[3,364,3,731,370,731],"rotation_degrees":49.07608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,364,3,731,370,731],"beta":{"interval_sums":[143395,138461,135688,125983,130917,132956],"interval_residues":[265,469,632,469,265,102],"display_cycle":[265,469,632,469,265,102],"intervals":[{"from_index":301,"to_index":669,"sum":143395,"residue":265},{"from_index":669,"to_index":1037,"sum":138461,"residue":469},{"from_index":1037,"to_index":1405,"sum":135688,"residue":632},{"from_index":1405,"to_index":1773,"sum":125983,"residue":469},{"from_index":1773,"to_index":2141,"sum":130917,"residue":265},{"from_index":2141,"to_index":301,"sum":132956,"residue":102}],"minimal_cycle":[265,469,632,469,265,102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[301,669],"circle_positions":734,"cycle_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":[302,670,1038,1406,1774,2142],"clock_positions":[302,670,1038,1406,1774,2142],"native_values":[233,501,600,501,233,134],"rotation_degrees":49.23913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,501,600,501,233,134],"beta":{"interval_sums":[143526,137963,135819,125852,131415,132825],"interval_residues":[396,705,29,338,29,705],"display_cycle":[396,705,29,338,29,705],"intervals":[{"from_index":302,"to_index":670,"sum":143526,"residue":396},{"from_index":670,"to_index":1038,"sum":137963,"residue":705},{"from_index":1038,"to_index":1406,"sum":135819,"residue":29},{"from_index":1406,"to_index":1774,"sum":125852,"residue":338},{"from_index":1774,"to_index":2142,"sum":131415,"residue":29},{"from_index":2142,"to_index":302,"sum":132825,"residue":705}],"minimal_cycle":[396,705,29,338,29,705],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":396,"start_interval_clock_positions":[302,670],"circle_positions":734,"cycle_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":[303,671,1039,1407,1775,2143],"clock_positions":[303,671,1039,1407,1775,2143],"native_values":[236,131,603,498,603,131],"rotation_degrees":49.40217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[236,131,603,498,603,131],"beta":{"interval_sums":[143791,138432,135717,125587,130946,132927],"interval_residues":[661,440,661,73,294,73],"display_cycle":[661,440,661,73,294,73],"intervals":[{"from_index":303,"to_index":671,"sum":143791,"residue":661},{"from_index":671,"to_index":1039,"sum":138432,"residue":440},{"from_index":1039,"to_index":1407,"sum":135717,"residue":661},{"from_index":1407,"to_index":1775,"sum":125587,"residue":73},{"from_index":1775,"to_index":2143,"sum":130946,"residue":294},{"from_index":2143,"to_index":303,"sum":132927,"residue":73}],"minimal_cycle":[661,440,661,73,294,73],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":661,"start_interval_clock_positions":[303,671],"circle_positions":734,"cycle_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":[304,672,1040,1408,1776,2144],"clock_positions":[304,672,1040,1408,1776,2144],"native_values":[469,632,469,265,102,265],"rotation_degrees":49.56521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,632,469,265,102,265],"beta":{"interval_sums":[143453,138403,135746,125925,130975,132898],"interval_residues":[323,411,690,411,323,44],"display_cycle":[323,411,690,411,323,44],"intervals":[{"from_index":304,"to_index":672,"sum":143453,"residue":323},{"from_index":672,"to_index":1040,"sum":138403,"residue":411},{"from_index":1040,"to_index":1408,"sum":135746,"residue":690},{"from_index":1408,"to_index":1776,"sum":125925,"residue":411},{"from_index":1776,"to_index":2144,"sum":130975,"residue":323},{"from_index":2144,"to_index":304,"sum":132898,"residue":44}],"minimal_cycle":[323,411,690,411,323,44],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":323,"start_interval_clock_positions":[304,672],"circle_positions":734,"cycle_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":[305,673,1041,1409,1777,2145],"clock_positions":[305,673,1041,1409,1777,2145],"native_values":[705,29,338,29,705,396],"rotation_degrees":49.72826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,29,338,29,705,396],"beta":{"interval_sums":[143380,138843,135673,125998,130535,132971],"interval_residues":[250,117,617,484,617,117],"display_cycle":[250,117,617,484,617,117],"intervals":[{"from_index":305,"to_index":673,"sum":143380,"residue":250},{"from_index":673,"to_index":1041,"sum":138843,"residue":117},{"from_index":1041,"to_index":1409,"sum":135673,"residue":617},{"from_index":1409,"to_index":1777,"sum":125998,"residue":484},{"from_index":1777,"to_index":2145,"sum":130535,"residue":617},{"from_index":2145,"to_index":305,"sum":132971,"residue":117}],"minimal_cycle":[250,117,617,484,617,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":250,"start_interval_clock_positions":[305,673],"circle_positions":734,"cycle_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":[306,674,1042,1410,1778,2146],"clock_positions":[306,674,1042,1410,1778,2146],"native_values":[440,661,73,294,73,661],"rotation_degrees":49.891304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[440,661,73,294,73,661],"beta":{"interval_sums":[142969,138520,135629,126409,130858,133015],"interval_residues":[573,528,573,161,206,161],"display_cycle":[573,528,573,161,206,161],"intervals":[{"from_index":306,"to_index":674,"sum":142969,"residue":573},{"from_index":674,"to_index":1042,"sum":138520,"residue":528},{"from_index":1042,"to_index":1410,"sum":135629,"residue":573},{"from_index":1410,"to_index":1778,"sum":126409,"residue":161},{"from_index":1778,"to_index":2146,"sum":130858,"residue":206},{"from_index":2146,"to_index":306,"sum":133015,"residue":161}],"minimal_cycle":[573,528,573,161,206,161],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":573,"start_interval_clock_positions":[306,674],"circle_positions":734,"cycle_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":[307,675,1043,1411,1779,2147],"clock_positions":[307,675,1043,1411,1779,2147],"native_values":[411,690,411,323,44,323],"rotation_degrees":50.05434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[411,690,411,323,44,323],"beta":{"interval_sums":[143219,137903,135512,126159,131475,133132],"interval_residues":[89,645,456,645,89,278],"display_cycle":[89,645,456,645,89,278],"intervals":[{"from_index":307,"to_index":675,"sum":143219,"residue":89},{"from_index":675,"to_index":1043,"sum":137903,"residue":645},{"from_index":1043,"to_index":1411,"sum":135512,"residue":456},{"from_index":1411,"to_index":1779,"sum":126159,"residue":645},{"from_index":1779,"to_index":2147,"sum":131475,"residue":89},{"from_index":2147,"to_index":307,"sum":133132,"residue":278}],"minimal_cycle":[89,645,456,645,89,278],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[307,675],"circle_positions":734,"cycle_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":[308,676,1044,1412,1780,2148],"clock_positions":[308,676,1044,1412,1780,2148],"native_values":[117,617,484,617,117,250],"rotation_degrees":50.21739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,617,484,617,117,250],"beta":{"interval_sums":[143792,137697,135351,125586,131681,133293],"interval_residues":[662,439,295,72,295,439],"display_cycle":[662,439,295,72,295,439],"intervals":[{"from_index":308,"to_index":676,"sum":143792,"residue":662},{"from_index":676,"to_index":1044,"sum":137697,"residue":439},{"from_index":1044,"to_index":1412,"sum":135351,"residue":295},{"from_index":1412,"to_index":1780,"sum":125586,"residue":72},{"from_index":1780,"to_index":2148,"sum":131681,"residue":295},{"from_index":2148,"to_index":308,"sum":133293,"residue":439}],"minimal_cycle":[662,439,295,72,295,439],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":662,"start_interval_clock_positions":[308,676],"circle_positions":734,"cycle_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":[309,677,1045,1413,1781,2149],"clock_positions":[309,677,1045,1413,1781,2149],"native_values":[528,573,161,206,161,573],"rotation_degrees":50.380434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[528,573,161,206,161,573],"beta":{"interval_sums":[143881,137608,135807,125497,131770,132837],"interval_residues":[17,350,17,717,384,717],"display_cycle":[17,350,17,717,384,717],"intervals":[{"from_index":309,"to_index":677,"sum":143881,"residue":17},{"from_index":677,"to_index":1045,"sum":137608,"residue":350},{"from_index":1045,"to_index":1413,"sum":135807,"residue":17},{"from_index":1413,"to_index":1781,"sum":125497,"residue":717},{"from_index":1781,"to_index":2149,"sum":131770,"residue":384},{"from_index":2149,"to_index":309,"sum":132837,"residue":717}],"minimal_cycle":[17,350,17,717,384,717],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":17,"start_interval_clock_positions":[309,677],"circle_positions":734,"cycle_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":[310,678,1046,1414,1782,2150],"clock_positions":[310,678,1046,1414,1782,2150],"native_values":[645,456,645,89,278,89],"rotation_degrees":50.54347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[645,456,645,89,278,89],"beta":{"interval_sums":[143809,137313,135368,125569,132065,133276],"interval_residues":[679,55,312,55,679,422],"display_cycle":[679,55,312,55,679,422],"intervals":[{"from_index":310,"to_index":678,"sum":143809,"residue":679},{"from_index":678,"to_index":1046,"sum":137313,"residue":55},{"from_index":1046,"to_index":1414,"sum":135368,"residue":312},{"from_index":1414,"to_index":1782,"sum":125569,"residue":55},{"from_index":1782,"to_index":2150,"sum":132065,"residue":679},{"from_index":2150,"to_index":310,"sum":133276,"residue":422}],"minimal_cycle":[679,55,312,55,679,422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":679,"start_interval_clock_positions":[310,678],"circle_positions":734,"cycle_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":[311,679,1047,1415,1783,2151],"clock_positions":[311,679,1047,1415,1783,2151],"native_values":[439,295,72,295,439,662],"rotation_degrees":50.70652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[439,295,72,295,439,662],"beta":{"interval_sums":[143826,137663,135385,125552,131715,133259],"interval_residues":[696,405,329,38,329,405],"display_cycle":[696,405,329,38,329,405],"intervals":[{"from_index":311,"to_index":679,"sum":143826,"residue":696},{"from_index":679,"to_index":1047,"sum":137663,"residue":405},{"from_index":1047,"to_index":1415,"sum":135385,"residue":329},{"from_index":1415,"to_index":1783,"sum":125552,"residue":38},{"from_index":1783,"to_index":2151,"sum":131715,"residue":329},{"from_index":2151,"to_index":311,"sum":133259,"residue":405}],"minimal_cycle":[696,405,329,38,329,405],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":696,"start_interval_clock_positions":[311,679],"circle_positions":734,"cycle_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":[312,680,1048,1416,1784,2152],"clock_positions":[312,680,1048,1416,1784,2152],"native_values":[350,17,717,384,717,17],"rotation_degrees":50.869565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[350,17,717,384,717,17],"beta":{"interval_sums":[143771,137718,134963,125607,131660,133681],"interval_residues":[641,460,641,93,274,93],"display_cycle":[641,460,641,93,274,93],"intervals":[{"from_index":312,"to_index":680,"sum":143771,"residue":641},{"from_index":680,"to_index":1048,"sum":137718,"residue":460},{"from_index":1048,"to_index":1416,"sum":134963,"residue":641},{"from_index":1416,"to_index":1784,"sum":125607,"residue":93},{"from_index":1784,"to_index":2152,"sum":131660,"residue":274},{"from_index":2152,"to_index":312,"sum":133681,"residue":93}],"minimal_cycle":[641,460,641,93,274,93],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":641,"start_interval_clock_positions":[312,680],"circle_positions":734,"cycle_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":[313,681,1049,1417,1785,2153],"clock_positions":[313,681,1049,1417,1785,2153],"native_values":[55,312,55,679,422,679],"rotation_degrees":51.03260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,312,55,679,422,679],"beta":{"interval_sums":[143733,138123,135292,125645,131255,133352],"interval_residues":[603,131,236,131,603,498],"display_cycle":[603,131,236,131,603,498],"intervals":[{"from_index":313,"to_index":681,"sum":143733,"residue":603},{"from_index":681,"to_index":1049,"sum":138123,"residue":131},{"from_index":1049,"to_index":1417,"sum":135292,"residue":236},{"from_index":1417,"to_index":1785,"sum":125645,"residue":131},{"from_index":1785,"to_index":2153,"sum":131255,"residue":603},{"from_index":2153,"to_index":313,"sum":133352,"residue":498}],"minimal_cycle":[603,131,236,131,603,498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":603,"start_interval_clock_positions":[313,681],"circle_positions":734,"cycle_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":[314,682,1050,1418,1786,2154],"clock_positions":[314,682,1050,1418,1786,2154],"native_values":[405,329,38,329,405,696],"rotation_degrees":51.19565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,329,38,329,405,696],"beta":{"interval_sums":[143640,137849,135933,125738,131529,132711],"interval_residues":[510,591,143,224,143,591],"display_cycle":[510,591,143,224,143,591],"intervals":[{"from_index":314,"to_index":682,"sum":143640,"residue":510},{"from_index":682,"to_index":1050,"sum":137849,"residue":591},{"from_index":1050,"to_index":1418,"sum":135933,"residue":143},{"from_index":1418,"to_index":1786,"sum":125738,"residue":224},{"from_index":1786,"to_index":2154,"sum":131529,"residue":143},{"from_index":2154,"to_index":314,"sum":132711,"residue":591}],"minimal_cycle":[510,591,143,224,143,591],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[314,682],"circle_positions":734,"cycle_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":[315,683,1051,1419,1787,2155],"clock_positions":[315,683,1051,1419,1787,2155],"native_values":[460,641,93,274,93,641],"rotation_degrees":51.358695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[460,641,93,274,93,641],"beta":{"interval_sums":[143509,137246,136169,125869,132132,132475],"interval_residues":[379,722,379,355,12,355],"display_cycle":[379,722,379,355,12,355],"intervals":[{"from_index":315,"to_index":683,"sum":143509,"residue":379},{"from_index":683,"to_index":1051,"sum":137246,"residue":722},{"from_index":1051,"to_index":1419,"sum":136169,"residue":379},{"from_index":1419,"to_index":1787,"sum":125869,"residue":355},{"from_index":1787,"to_index":2155,"sum":132132,"residue":12},{"from_index":2155,"to_index":315,"sum":132475,"residue":355}],"minimal_cycle":[379,722,379,355,12,355],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":379,"start_interval_clock_positions":[315,683],"circle_positions":734,"cycle_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":[316,684,1052,1420,1788,2156],"clock_positions":[316,684,1052,1420,1788,2156],"native_values":[131,236,131,603,498,603],"rotation_degrees":51.52173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,236,131,603,498,603],"beta":{"interval_sums":[144019,137103,136312,125359,132275,132332],"interval_residues":[155,579,522,579,155,212],"display_cycle":[155,579,522,579,155,212],"intervals":[{"from_index":316,"to_index":684,"sum":144019,"residue":155},{"from_index":684,"to_index":1052,"sum":137103,"residue":579},{"from_index":1052,"to_index":1420,"sum":136312,"residue":522},{"from_index":1420,"to_index":1788,"sum":125359,"residue":579},{"from_index":1788,"to_index":2156,"sum":132275,"residue":155},{"from_index":2156,"to_index":316,"sum":132332,"residue":212}],"minimal_cycle":[155,579,522,579,155,212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":155,"start_interval_clock_positions":[316,684],"circle_positions":734,"cycle_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":[317,685,1053,1421,1789,2157],"clock_positions":[317,685,1053,1421,1789,2157],"native_values":[591,143,224,143,591,510],"rotation_degrees":51.68478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[591,143,224,143,591,510],"beta":{"interval_sums":[143664,137091,136691,125714,132287,131953],"interval_residues":[534,567,167,200,167,567],"display_cycle":[534,567,167,200,167,567],"intervals":[{"from_index":317,"to_index":685,"sum":143664,"residue":534},{"from_index":685,"to_index":1053,"sum":137091,"residue":567},{"from_index":1053,"to_index":1421,"sum":136691,"residue":167},{"from_index":1421,"to_index":1789,"sum":125714,"residue":200},{"from_index":1789,"to_index":2157,"sum":132287,"residue":167},{"from_index":2157,"to_index":317,"sum":131953,"residue":567}],"minimal_cycle":[534,567,167,200,167,567],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[317,685],"circle_positions":734,"cycle_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":[318,686,1054,1422,1790,2158],"clock_positions":[318,686,1054,1422,1790,2158],"native_values":[722,379,355,12,355,379],"rotation_degrees":51.84782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[722,379,355,12,355,379],"beta":{"interval_sums":[143085,136936,136479,126293,132442,132165],"interval_residues":[689,412,689,45,322,45],"display_cycle":[689,412,689,45,322,45],"intervals":[{"from_index":318,"to_index":686,"sum":143085,"residue":689},{"from_index":686,"to_index":1054,"sum":136936,"residue":412},{"from_index":1054,"to_index":1422,"sum":136479,"residue":689},{"from_index":1422,"to_index":1790,"sum":126293,"residue":45},{"from_index":1790,"to_index":2158,"sum":132442,"residue":322},{"from_index":2158,"to_index":318,"sum":132165,"residue":45}],"minimal_cycle":[689,412,689,45,322,45],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":689,"start_interval_clock_positions":[318,686],"circle_positions":734,"cycle_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":[319,687,1055,1423,1791,2159],"clock_positions":[319,687,1055,1423,1791,2159],"native_values":[579,522,579,155,212,155],"rotation_degrees":52.01086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[579,522,579,155,212,155],"beta":{"interval_sums":[142885,136769,135912,126493,132609,132732],"interval_residues":[489,245,122,245,489,612],"display_cycle":[489,245,122,245,489,612],"intervals":[{"from_index":319,"to_index":687,"sum":142885,"residue":489},{"from_index":687,"to_index":1055,"sum":136769,"residue":245},{"from_index":1055,"to_index":1423,"sum":135912,"residue":122},{"from_index":1423,"to_index":1791,"sum":126493,"residue":245},{"from_index":1791,"to_index":2159,"sum":132609,"residue":489},{"from_index":2159,"to_index":319,"sum":132732,"residue":612}],"minimal_cycle":[489,245,122,245,489,612],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":489,"start_interval_clock_positions":[319,687],"circle_positions":734,"cycle_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":[320,688,1056,1424,1792,2160],"clock_positions":[320,688,1056,1424,1792,2160],"native_values":[567,167,200,167,567,534],"rotation_degrees":52.17391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,167,200,167,567,534],"beta":{"interval_sums":[142840,137181,135867,126538,132197,132777],"interval_residues":[444,657,77,290,77,657],"display_cycle":[444,657,77,290,77,657],"intervals":[{"from_index":320,"to_index":688,"sum":142840,"residue":444},{"from_index":688,"to_index":1056,"sum":137181,"residue":657},{"from_index":1056,"to_index":1424,"sum":135867,"residue":77},{"from_index":1424,"to_index":1792,"sum":126538,"residue":290},{"from_index":1792,"to_index":2160,"sum":132197,"residue":77},{"from_index":2160,"to_index":320,"sum":132777,"residue":657}],"minimal_cycle":[444,657,77,290,77,657],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[320,688],"circle_positions":734,"cycle_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":[321,689,1057,1425,1793,2161],"clock_positions":[321,689,1057,1425,1793,2161],"native_values":[412,689,45,322,45,689],"rotation_degrees":52.33695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[412,689,45,322,45,689],"beta":{"interval_sums":[142595,136692,135989,126783,132686,132655],"interval_residues":[199,168,199,535,566,535],"display_cycle":[199,168,199,535,566,535],"intervals":[{"from_index":321,"to_index":689,"sum":142595,"residue":199},{"from_index":689,"to_index":1057,"sum":136692,"residue":168},{"from_index":1057,"to_index":1425,"sum":135989,"residue":199},{"from_index":1425,"to_index":1793,"sum":126783,"residue":535},{"from_index":1793,"to_index":2161,"sum":132686,"residue":566},{"from_index":2161,"to_index":321,"sum":132655,"residue":535}],"minimal_cycle":[199,168,199,535,566,535],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":199,"start_interval_clock_positions":[321,689],"circle_positions":734,"cycle_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":[322,690,1058,1426,1794,2162],"clock_positions":[322,690,1058,1426,1794,2162],"native_values":[245,122,245,489,612,489],"rotation_degrees":52.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[245,122,245,489,612,489],"beta":{"interval_sums":[143039,136615,136066,126339,132763,132578],"interval_residues":[643,91,276,91,643,458],"display_cycle":[643,91,276,91,643,458],"intervals":[{"from_index":322,"to_index":690,"sum":143039,"residue":643},{"from_index":690,"to_index":1058,"sum":136615,"residue":91},{"from_index":1058,"to_index":1426,"sum":136066,"residue":276},{"from_index":1426,"to_index":1794,"sum":126339,"residue":91},{"from_index":1794,"to_index":2162,"sum":132763,"residue":643},{"from_index":2162,"to_index":322,"sum":132578,"residue":458}],"minimal_cycle":[643,91,276,91,643,458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":643,"start_interval_clock_positions":[322,690],"circle_positions":734,"cycle_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":[323,691,1059,1427,1795,2163],"clock_positions":[323,691,1059,1427,1795,2163],"native_values":[657,77,290,77,657,444],"rotation_degrees":52.66304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,77,290,77,657,444],"beta":{"interval_sums":[142504,136783,136265,126874,132595,132379],"interval_residues":[108,259,475,626,475,259],"display_cycle":[108,259,475,626,475,259],"intervals":[{"from_index":323,"to_index":691,"sum":142504,"residue":108},{"from_index":691,"to_index":1059,"sum":136783,"residue":259},{"from_index":1059,"to_index":1427,"sum":136265,"residue":475},{"from_index":1427,"to_index":1795,"sum":126874,"residue":626},{"from_index":1795,"to_index":2163,"sum":132595,"residue":475},{"from_index":2163,"to_index":323,"sum":132379,"residue":259}],"minimal_cycle":[108,259,475,626,475,259],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":108,"start_interval_clock_positions":[323,691],"circle_positions":734,"cycle_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":[324,692,1060,1428,1796,2164],"clock_positions":[324,692,1060,1428,1796,2164],"native_values":[168,199,535,566,535,199],"rotation_degrees":52.82608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[168,199,535,566,535,199],"beta":{"interval_sums":[142413,136874,135807,126965,132504,132837],"interval_residues":[17,350,17,717,384,717],"display_cycle":[17,350,17,717,384,717],"intervals":[{"from_index":324,"to_index":692,"sum":142413,"residue":17},{"from_index":692,"to_index":1060,"sum":136874,"residue":350},{"from_index":1060,"to_index":1428,"sum":135807,"residue":17},{"from_index":1428,"to_index":1796,"sum":126965,"residue":717},{"from_index":1796,"to_index":2164,"sum":132504,"residue":384},{"from_index":2164,"to_index":324,"sum":132837,"residue":717}],"minimal_cycle":[17,350,17,717,384,717],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":17,"start_interval_clock_positions":[324,692],"circle_positions":734,"cycle_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":[325,693,1061,1429,1797,2165],"clock_positions":[325,693,1061,1429,1797,2165],"native_values":[91,276,91,643,458,643],"rotation_degrees":52.98913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[91,276,91,643,458,643],"beta":{"interval_sums":[142521,137133,136282,126857,132245,132362],"interval_residues":[125,609,492,609,125,242],"display_cycle":[125,609,492,609,125,242],"intervals":[{"from_index":325,"to_index":693,"sum":142521,"residue":125},{"from_index":693,"to_index":1061,"sum":137133,"residue":609},{"from_index":1061,"to_index":1429,"sum":136282,"residue":492},{"from_index":1429,"to_index":1797,"sum":126857,"residue":609},{"from_index":1797,"to_index":2165,"sum":132245,"residue":125},{"from_index":2165,"to_index":325,"sum":132362,"residue":242}],"minimal_cycle":[125,609,492,609,125,242],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":125,"start_interval_clock_positions":[325,693],"circle_positions":734,"cycle_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":[326,694,1062,1430,1798,2166],"clock_positions":[326,694,1062,1430,1798,2166],"native_values":[259,475,626,475,259,108],"rotation_degrees":53.15217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,475,626,475,259,108],"beta":{"interval_sums":[142538,136749,136299,126840,132629,132345],"interval_residues":[142,225,509,592,509,225],"display_cycle":[142,225,509,592,509,225],"intervals":[{"from_index":326,"to_index":694,"sum":142538,"residue":142},{"from_index":694,"to_index":1062,"sum":136749,"residue":225},{"from_index":1062,"to_index":1430,"sum":136299,"residue":509},{"from_index":1430,"to_index":1798,"sum":126840,"residue":592},{"from_index":1798,"to_index":2166,"sum":132629,"residue":509},{"from_index":2166,"to_index":326,"sum":132345,"residue":225}],"minimal_cycle":[142,225,509,592,509,225],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":142,"start_interval_clock_positions":[326,694],"circle_positions":734,"cycle_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":[327,695,1063,1431,1799,2167],"clock_positions":[327,695,1063,1431,1799,2167],"native_values":[350,17,717,384,717,17],"rotation_degrees":53.31521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[350,17,717,384,717,17],"beta":{"interval_sums":[142663,137358,136057,126715,132020,132587],"interval_residues":[267,100,267,467,634,467],"display_cycle":[267,100,267,467,634,467],"intervals":[{"from_index":327,"to_index":695,"sum":142663,"residue":267},{"from_index":695,"to_index":1063,"sum":137358,"residue":100},{"from_index":1063,"to_index":1431,"sum":136057,"residue":267},{"from_index":1431,"to_index":1799,"sum":126715,"residue":467},{"from_index":1799,"to_index":2167,"sum":132020,"residue":634},{"from_index":2167,"to_index":327,"sum":132587,"residue":467}],"minimal_cycle":[267,100,267,467,634,467],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":267,"start_interval_clock_positions":[327,695],"circle_positions":734,"cycle_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":[328,696,1064,1432,1800,2168],"clock_positions":[328,696,1064,1432,1800,2168],"native_values":[609,492,609,125,242,125],"rotation_degrees":53.47826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[609,492,609,125,242,125],"beta":{"interval_sums":[142071,137583,135832,127307,131795,132812],"interval_residues":[409,325,42,325,409,692],"display_cycle":[409,325,42,325,409,692],"intervals":[{"from_index":328,"to_index":696,"sum":142071,"residue":409},{"from_index":696,"to_index":1064,"sum":137583,"residue":325},{"from_index":1064,"to_index":1432,"sum":135832,"residue":42},{"from_index":1432,"to_index":1800,"sum":127307,"residue":325},{"from_index":1800,"to_index":2168,"sum":131795,"residue":409},{"from_index":2168,"to_index":328,"sum":132812,"residue":692}],"minimal_cycle":[409,325,42,325,409,692],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":409,"start_interval_clock_positions":[328,696],"circle_positions":734,"cycle_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":[329,697,1065,1433,1801,2169],"clock_positions":[329,697,1065,1433,1801,2169],"native_values":[225,509,592,509,225,142],"rotation_degrees":53.641304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[225,509,592,509,225,142],"beta":{"interval_sums":[142338,137683,135365,127040,131695,133279],"interval_residues":[676,425,309,58,309,425],"display_cycle":[676,425,309,58,309,425],"intervals":[{"from_index":329,"to_index":697,"sum":142338,"residue":676},{"from_index":697,"to_index":1065,"sum":137683,"residue":425},{"from_index":1065,"to_index":1433,"sum":135365,"residue":309},{"from_index":1433,"to_index":1801,"sum":127040,"residue":58},{"from_index":1801,"to_index":2169,"sum":131695,"residue":309},{"from_index":2169,"to_index":329,"sum":133279,"residue":425}],"minimal_cycle":[676,425,309,58,309,425],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":676,"start_interval_clock_positions":[329,697],"circle_positions":734,"cycle_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":[330,698,1066,1434,1802,2170],"clock_positions":[330,698,1066,1434,1802,2170],"native_values":[100,267,467,634,467,267],"rotation_degrees":53.80434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[100,267,467,634,467,267],"beta":{"interval_sums":[142747,138008,135407,126631,131370,133237],"interval_residues":[351,16,351,383,718,383],"display_cycle":[351,16,351,383,718,383],"intervals":[{"from_index":330,"to_index":698,"sum":142747,"residue":351},{"from_index":698,"to_index":1066,"sum":138008,"residue":16},{"from_index":1066,"to_index":1434,"sum":135407,"residue":351},{"from_index":1434,"to_index":1802,"sum":126631,"residue":383},{"from_index":1802,"to_index":2170,"sum":131370,"residue":718},{"from_index":2170,"to_index":330,"sum":133237,"residue":383}],"minimal_cycle":[351,16,351,383,718,383],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":351,"start_interval_clock_positions":[330,698],"circle_positions":734,"cycle_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":[331,699,1067,1435,1803,2171],"clock_positions":[331,699,1067,1435,1803,2171],"native_values":[325,42,325,409,692,409],"rotation_degrees":53.96739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,42,325,409,692,409],"beta":{"interval_sums":[142689,138433,135716,126689,130945,132928],"interval_residues":[293,441,660,441,293,74],"display_cycle":[293,441,660,441,293,74],"intervals":[{"from_index":331,"to_index":699,"sum":142689,"residue":293},{"from_index":699,"to_index":1067,"sum":138433,"residue":441},{"from_index":1067,"to_index":1435,"sum":135716,"residue":660},{"from_index":1435,"to_index":1803,"sum":126689,"residue":441},{"from_index":1803,"to_index":2171,"sum":130945,"residue":293},{"from_index":2171,"to_index":331,"sum":132928,"residue":74}],"minimal_cycle":[293,441,660,441,293,74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":293,"start_interval_clock_positions":[331,699],"circle_positions":734,"cycle_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":[332,700,1068,1436,1804,2172],"clock_positions":[332,700,1068,1436,1804,2172],"native_values":[425,309,58,309,425,676],"rotation_degrees":54.130434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[425,309,58,309,425,676],"beta":{"interval_sums":[142306,138449,136067,127072,130929,132577],"interval_residues":[644,457,277,90,277,457],"display_cycle":[644,457,277,90,277,457],"intervals":[{"from_index":332,"to_index":700,"sum":142306,"residue":644},{"from_index":700,"to_index":1068,"sum":138449,"residue":457},{"from_index":1068,"to_index":1436,"sum":136067,"residue":277},{"from_index":1436,"to_index":1804,"sum":127072,"residue":90},{"from_index":1804,"to_index":2172,"sum":130929,"residue":277},{"from_index":2172,"to_index":332,"sum":132577,"residue":457}],"minimal_cycle":[644,457,277,90,277,457],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[332,700],"circle_positions":734,"cycle_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":[333,701,1069,1437,1805,2173],"clock_positions":[333,701,1069,1437,1805,2173],"native_values":[16,351,383,718,383,351],"rotation_degrees":54.29347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[16,351,383,718,383,351],"beta":{"interval_sums":[142599,138156,135993,126779,131222,132651],"interval_residues":[203,164,203,531,570,531],"display_cycle":[203,164,203,531,570,531],"intervals":[{"from_index":333,"to_index":701,"sum":142599,"residue":203},{"from_index":701,"to_index":1069,"sum":138156,"residue":164},{"from_index":1069,"to_index":1437,"sum":135993,"residue":203},{"from_index":1437,"to_index":1805,"sum":126779,"residue":531},{"from_index":1805,"to_index":2173,"sum":131222,"residue":570},{"from_index":2173,"to_index":333,"sum":132651,"residue":531}],"minimal_cycle":[203,164,203,531,570,531],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":203,"start_interval_clock_positions":[333,701],"circle_positions":734,"cycle_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":[334,702,1070,1438,1806,2174],"clock_positions":[334,702,1070,1438,1806,2174],"native_values":[441,660,441,293,74,293],"rotation_degrees":54.45652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,660,441,293,74,293],"beta":{"interval_sums":[142509,137879,136270,126869,131499,132374],"interval_residues":[113,621,480,621,113,254],"display_cycle":[113,621,480,621,113,254],"intervals":[{"from_index":334,"to_index":702,"sum":142509,"residue":113},{"from_index":702,"to_index":1070,"sum":137879,"residue":621},{"from_index":1070,"to_index":1438,"sum":136270,"residue":480},{"from_index":1438,"to_index":1806,"sum":126869,"residue":621},{"from_index":1806,"to_index":2174,"sum":131499,"residue":113},{"from_index":2174,"to_index":334,"sum":132374,"residue":254}],"minimal_cycle":[113,621,480,621,113,254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":113,"start_interval_clock_positions":[334,702],"circle_positions":734,"cycle_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":[335,703,1071,1439,1807,2175],"clock_positions":[335,703,1071,1439,1807,2175],"native_values":[457,277,90,277,457,644],"rotation_degrees":54.619565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,277,90,277,457,644],"beta":{"interval_sums":[142712,138043,136473,126666,131335,132171],"interval_residues":[316,51,683,418,683,51],"display_cycle":[316,51,683,418,683,51],"intervals":[{"from_index":335,"to_index":703,"sum":142712,"residue":316},{"from_index":703,"to_index":1071,"sum":138043,"residue":51},{"from_index":1071,"to_index":1439,"sum":136473,"residue":683},{"from_index":1439,"to_index":1807,"sum":126666,"residue":418},{"from_index":1807,"to_index":2175,"sum":131335,"residue":683},{"from_index":2175,"to_index":335,"sum":132171,"residue":51}],"minimal_cycle":[316,51,683,418,683,51],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":316,"start_interval_clock_positions":[335,703],"circle_positions":734,"cycle_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":[336,704,1072,1440,1808,2176],"clock_positions":[336,704,1072,1440,1808,2176],"native_values":[164,203,531,570,531,203],"rotation_degrees":54.78260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[164,203,531,570,531,203],"beta":{"interval_sums":[142825,137930,136219,126553,131448,132425],"interval_residues":[429,672,429,305,62,305],"display_cycle":[429,672,429,305,62,305],"intervals":[{"from_index":336,"to_index":704,"sum":142825,"residue":429},{"from_index":704,"to_index":1072,"sum":137930,"residue":672},{"from_index":1072,"to_index":1440,"sum":136219,"residue":429},{"from_index":1440,"to_index":1808,"sum":126553,"residue":305},{"from_index":1808,"to_index":2176,"sum":131448,"residue":62},{"from_index":2176,"to_index":336,"sum":132425,"residue":305}],"minimal_cycle":[429,672,429,305,62,305],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":429,"start_interval_clock_positions":[336,704],"circle_positions":734,"cycle_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":[337,705,1073,1441,1809,2177],"clock_positions":[337,705,1073,1441,1809,2177],"native_values":[621,480,621,113,254,113],"rotation_degrees":54.94565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[621,480,621,113,254,113],"beta":{"interval_sums":[142407,137981,136168,126971,131397,132476],"interval_residues":[11,723,378,723,11,356],"display_cycle":[11,723,378,723,11,356],"intervals":[{"from_index":337,"to_index":705,"sum":142407,"residue":11},{"from_index":705,"to_index":1073,"sum":137981,"residue":723},{"from_index":1073,"to_index":1441,"sum":136168,"residue":378},{"from_index":1441,"to_index":1809,"sum":126971,"residue":723},{"from_index":1809,"to_index":2177,"sum":131397,"residue":11},{"from_index":2177,"to_index":337,"sum":132476,"residue":356}],"minimal_cycle":[11,723,378,723,11,356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":11,"start_interval_clock_positions":[337,705],"circle_positions":734,"cycle_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":[338,706,1074,1442,1810,2178],"clock_positions":[338,706,1074,1442,1810,2178],"native_values":[51,683,418,683,51,316],"rotation_degrees":55.108695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,683,418,683,51,316],"beta":{"interval_sums":[142836,137919,135863,126542,131459,132781],"interval_residues":[440,661,73,294,73,661],"display_cycle":[440,661,73,294,73,661],"intervals":[{"from_index":338,"to_index":706,"sum":142836,"residue":440},{"from_index":706,"to_index":1074,"sum":137919,"residue":661},{"from_index":1074,"to_index":1442,"sum":135863,"residue":73},{"from_index":1442,"to_index":1810,"sum":126542,"residue":294},{"from_index":1810,"to_index":2178,"sum":131459,"residue":73},{"from_index":2178,"to_index":338,"sum":132781,"residue":661}],"minimal_cycle":[440,661,73,294,73,661],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[338,706],"circle_positions":734,"cycle_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":[339,707,1075,1443,1811,2179],"clock_positions":[339,707,1075,1443,1811,2179],"native_values":[672,429,305,62,305,429],"rotation_degrees":55.27173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[672,429,305,62,305,429],"beta":{"interval_sums":[142847,137908,136241,126531,131470,132403],"interval_residues":[451,650,451,283,84,283],"display_cycle":[451,650,451,283,84,283],"intervals":[{"from_index":339,"to_index":707,"sum":142847,"residue":451},{"from_index":707,"to_index":1075,"sum":137908,"residue":650},{"from_index":1075,"to_index":1443,"sum":136241,"residue":451},{"from_index":1443,"to_index":1811,"sum":126531,"residue":283},{"from_index":1811,"to_index":2179,"sum":131470,"residue":84},{"from_index":2179,"to_index":339,"sum":132403,"residue":283}],"minimal_cycle":[451,650,451,283,84,283],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":451,"start_interval_clock_positions":[339,707],"circle_positions":734,"cycle_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":[340,708,1076,1444,1812,2180],"clock_positions":[340,708,1076,1444,1812,2180],"native_values":[723,378,723,11,356,11],"rotation_degrees":55.43478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[723,378,723,11,356,11],"beta":{"interval_sums":[142553,137835,135580,126825,131543,133064],"interval_residues":[157,577,524,577,157,210],"display_cycle":[157,577,524,577,157,210],"intervals":[{"from_index":340,"to_index":708,"sum":142553,"residue":157},{"from_index":708,"to_index":1076,"sum":137835,"residue":577},{"from_index":1076,"to_index":1444,"sum":135580,"residue":524},{"from_index":1444,"to_index":1812,"sum":126825,"residue":577},{"from_index":1812,"to_index":2180,"sum":131543,"residue":157},{"from_index":2180,"to_index":340,"sum":133064,"residue":210}],"minimal_cycle":[157,577,524,577,157,210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":157,"start_interval_clock_positions":[340,708],"circle_positions":734,"cycle_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":[341,709,1077,1445,1813,2181],"clock_positions":[341,709,1077,1445,1813,2181],"native_values":[661,73,294,73,661,440],"rotation_degrees":55.59782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[661,73,294,73,661,440],"beta":{"interval_sums":[142270,138485,135297,127108,130893,133347],"interval_residues":[608,493,241,126,241,493],"display_cycle":[608,493,241,126,241,493],"intervals":[{"from_index":341,"to_index":709,"sum":142270,"residue":608},{"from_index":709,"to_index":1077,"sum":138485,"residue":493},{"from_index":1077,"to_index":1445,"sum":135297,"residue":241},{"from_index":1445,"to_index":1813,"sum":127108,"residue":126},{"from_index":1813,"to_index":2181,"sum":130893,"residue":241},{"from_index":2181,"to_index":341,"sum":133347,"residue":493}],"minimal_cycle":[608,493,241,126,241,493],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":608,"start_interval_clock_positions":[341,709],"circle_positions":734,"cycle_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":[342,710,1078,1446,1814,2182],"clock_positions":[342,710,1078,1446,1814,2182],"native_values":[650,451,283,84,283,451],"rotation_degrees":55.76086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[650,451,283,84,283,451],"beta":{"interval_sums":[141693,138328,135087,127685,131050,133557],"interval_residues":[31,336,31,703,398,703],"display_cycle":[31,336,31,703,398,703],"intervals":[{"from_index":342,"to_index":710,"sum":141693,"residue":31},{"from_index":710,"to_index":1078,"sum":138328,"residue":336},{"from_index":1078,"to_index":1446,"sum":135087,"residue":31},{"from_index":1446,"to_index":1814,"sum":127685,"residue":703},{"from_index":1814,"to_index":2182,"sum":131050,"residue":398},{"from_index":2182,"to_index":342,"sum":133557,"residue":703}],"minimal_cycle":[31,336,31,703,398,703],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":31,"start_interval_clock_positions":[342,710],"circle_positions":734,"cycle_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":[343,711,1079,1447,1815,2183],"clock_positions":[343,711,1079,1447,1815,2183],"native_values":[577,524,577,157,210,157],"rotation_degrees":55.92391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[577,524,577,157,210,157],"beta":{"interval_sums":[141567,138087,134594,127811,131291,134050],"interval_residues":[639,95,272,95,639,462],"display_cycle":[639,95,272,95,639,462],"intervals":[{"from_index":343,"to_index":711,"sum":141567,"residue":639},{"from_index":711,"to_index":1079,"sum":138087,"residue":95},{"from_index":1079,"to_index":1447,"sum":134594,"residue":272},{"from_index":1447,"to_index":1815,"sum":127811,"residue":95},{"from_index":1815,"to_index":2183,"sum":131291,"residue":639},{"from_index":2183,"to_index":343,"sum":134050,"residue":462}],"minimal_cycle":[639,95,272,95,639,462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":639,"start_interval_clock_positions":[343,711],"circle_positions":734,"cycle_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":[344,712,1080,1448,1816,2184],"clock_positions":[344,712,1080,1448,1816,2184],"native_values":[493,241,126,241,493,608],"rotation_degrees":56.08695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[493,241,126,241,493,608],"beta":{"interval_sums":[141598,138423,134625,127780,130955,134019],"interval_residues":[670,431,303,64,303,431],"display_cycle":[670,431,303,64,303,431],"intervals":[{"from_index":344,"to_index":712,"sum":141598,"residue":670},{"from_index":712,"to_index":1080,"sum":138423,"residue":431},{"from_index":1080,"to_index":1448,"sum":134625,"residue":303},{"from_index":1448,"to_index":1816,"sum":127780,"residue":64},{"from_index":1816,"to_index":2184,"sum":130955,"residue":303},{"from_index":2184,"to_index":344,"sum":134019,"residue":431}],"minimal_cycle":[670,431,303,64,303,431],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":670,"start_interval_clock_positions":[344,712],"circle_positions":734,"cycle_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":[345,713,1081,1449,1817,2185],"clock_positions":[345,713,1081,1449,1817,2185],"native_values":[336,31,703,398,703,31],"rotation_degrees":56.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[336,31,703,398,703,31],"beta":{"interval_sums":[141503,138518,134163,127875,130860,134481],"interval_residues":[575,526,575,159,208,159],"display_cycle":[575,526,575,159,208,159],"intervals":[{"from_index":345,"to_index":713,"sum":141503,"residue":575},{"from_index":713,"to_index":1081,"sum":138518,"residue":526},{"from_index":1081,"to_index":1449,"sum":134163,"residue":575},{"from_index":1449,"to_index":1817,"sum":127875,"residue":159},{"from_index":1817,"to_index":2185,"sum":130860,"residue":208},{"from_index":2185,"to_index":345,"sum":134481,"residue":159}],"minimal_cycle":[575,526,575,159,208,159],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":575,"start_interval_clock_positions":[345,713],"circle_positions":734,"cycle_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":[346,714,1082,1450,1818,2186],"clock_positions":[346,714,1082,1450,1818,2186],"native_values":[95,272,95,639,462,639],"rotation_degrees":56.41304347826087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,272,95,639,462,639],"beta":{"interval_sums":[141439,138949,134466,127939,130429,134178],"interval_residues":[511,223,144,223,511,590],"display_cycle":[511,223,144,223,511,590],"intervals":[{"from_index":346,"to_index":714,"sum":141439,"residue":511},{"from_index":714,"to_index":1082,"sum":138949,"residue":223},{"from_index":1082,"to_index":1450,"sum":134466,"residue":144},{"from_index":1450,"to_index":1818,"sum":127939,"residue":223},{"from_index":1818,"to_index":2186,"sum":130429,"residue":511},{"from_index":2186,"to_index":346,"sum":134178,"residue":590}],"minimal_cycle":[511,223,144,223,511,590],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":511,"start_interval_clock_positions":[346,714],"circle_positions":734,"cycle_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":[347,715,1083,1451,1819,2187],"clock_positions":[347,715,1083,1451,1819,2187],"native_values":[431,303,64,303,431,670],"rotation_degrees":56.57608695652174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[431,303,64,303,431,670],"beta":{"interval_sums":[141280,138741,135041,128098,130637,133603],"interval_residues":[352,15,719,382,719,15],"display_cycle":[352,15,719,382,719,15],"intervals":[{"from_index":347,"to_index":715,"sum":141280,"residue":352},{"from_index":715,"to_index":1083,"sum":138741,"residue":15},{"from_index":1083,"to_index":1451,"sum":135041,"residue":719},{"from_index":1451,"to_index":1819,"sum":128098,"residue":382},{"from_index":1819,"to_index":2187,"sum":130637,"residue":719},{"from_index":2187,"to_index":347,"sum":133603,"residue":15}],"minimal_cycle":[352,15,719,382,719,15],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[347,715],"circle_positions":734,"cycle_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":[348,716,1084,1452,1820,2188],"clock_positions":[348,716,1084,1452,1820,2188],"native_values":[526,575,159,208,159,575],"rotation_degrees":56.73913043478261,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[526,575,159,208,159,575],"beta":{"interval_sums":[141057,138230,135185,128321,131148,133459],"interval_residues":[129,238,129,605,496,605],"display_cycle":[129,238,129,605,496,605],"intervals":[{"from_index":348,"to_index":716,"sum":141057,"residue":129},{"from_index":716,"to_index":1084,"sum":138230,"residue":238},{"from_index":1084,"to_index":1452,"sum":135185,"residue":129},{"from_index":1452,"to_index":1820,"sum":128321,"residue":605},{"from_index":1820,"to_index":2188,"sum":131148,"residue":496},{"from_index":2188,"to_index":348,"sum":133459,"residue":605}],"minimal_cycle":[129,238,129,605,496,605],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":129,"start_interval_clock_positions":[348,716],"circle_positions":734,"cycle_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":[349,717,1085,1453,1821,2189],"clock_positions":[349,717,1085,1453,1821,2189],"native_values":[223,144,223,511,590,511],"rotation_degrees":56.90217391304348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,144,223,511,590,511],"beta":{"interval_sums":[141409,138245,135170,127969,131133,133474],"interval_residues":[481,253,114,253,481,620],"display_cycle":[481,253,114,253,481,620],"intervals":[{"from_index":349,"to_index":717,"sum":141409,"residue":481},{"from_index":717,"to_index":1085,"sum":138245,"residue":253},{"from_index":1085,"to_index":1453,"sum":135170,"residue":114},{"from_index":1453,"to_index":1821,"sum":127969,"residue":253},{"from_index":1821,"to_index":2189,"sum":131133,"residue":481},{"from_index":2189,"to_index":349,"sum":133474,"residue":620}],"minimal_cycle":[481,253,114,253,481,620],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":481,"start_interval_clock_positions":[349,717],"circle_positions":734,"cycle_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":[350,718,1086,1454,1822,2190],"clock_positions":[350,718,1086,1454,1822,2190],"native_values":[15,719,382,719,15,352],"rotation_degrees":57.06521739130435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[15,719,382,719,15,352],"beta":{"interval_sums":[141538,137749,135299,127840,131629,133345],"interval_residues":[610,491,243,124,243,491],"display_cycle":[610,491,243,124,243,491],"intervals":[{"from_index":350,"to_index":718,"sum":141538,"residue":610},{"from_index":718,"to_index":1086,"sum":137749,"residue":491},{"from_index":1086,"to_index":1454,"sum":135299,"residue":243},{"from_index":1454,"to_index":1822,"sum":127840,"residue":124},{"from_index":1822,"to_index":2190,"sum":131629,"residue":243},{"from_index":2190,"to_index":350,"sum":133345,"residue":491}],"minimal_cycle":[610,491,243,124,243,491],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[350,718],"circle_positions":734,"cycle_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":[351,719,1087,1455,1823,2191],"clock_positions":[351,719,1087,1455,1823,2191],"native_values":[238,129,605,496,605,129],"rotation_degrees":57.22826086956522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[238,129,605,496,605,129],"beta":{"interval_sums":[142019,138002,135413,127359,131376,133231],"interval_residues":[357,10,357,377,724,377],"display_cycle":[357,10,357,377,724,377],"intervals":[{"from_index":351,"to_index":719,"sum":142019,"residue":357},{"from_index":719,"to_index":1087,"sum":138002,"residue":10},{"from_index":1087,"to_index":1455,"sum":135413,"residue":357},{"from_index":1455,"to_index":1823,"sum":127359,"residue":377},{"from_index":1823,"to_index":2191,"sum":131376,"residue":724},{"from_index":2191,"to_index":351,"sum":133231,"residue":377}],"minimal_cycle":[357,10,357,377,724,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":357,"start_interval_clock_positions":[351,719],"circle_positions":734,"cycle_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":[352,720,1088,1456,1824,2192],"clock_positions":[352,720,1088,1456,1824,2192],"native_values":[253,114,253,481,620,481],"rotation_degrees":57.391304347826086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[253,114,253,481,620,481],"beta":{"interval_sums":[141895,138493,135656,127483,130885,132988],"interval_residues":[233,501,600,501,233,134],"display_cycle":[233,501,600,501,233,134],"intervals":[{"from_index":352,"to_index":720,"sum":141895,"residue":233},{"from_index":720,"to_index":1088,"sum":138493,"residue":501},{"from_index":1088,"to_index":1456,"sum":135656,"residue":600},{"from_index":1456,"to_index":1824,"sum":127483,"residue":501},{"from_index":1824,"to_index":2192,"sum":130885,"residue":233},{"from_index":2192,"to_index":352,"sum":132988,"residue":134}],"minimal_cycle":[233,501,600,501,233,134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":233,"start_interval_clock_positions":[352,720],"circle_positions":734,"cycle_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":[353,721,1089,1457,1825,2193],"clock_positions":[353,721,1089,1457,1825,2193],"native_values":[491,243,124,243,491,610],"rotation_degrees":57.55434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[491,243,124,243,491,610],"beta":{"interval_sums":[141518,138503,136013,127860,130875,132631],"interval_residues":[590,511,223,144,223,511],"display_cycle":[590,511,223,144,223,511],"intervals":[{"from_index":353,"to_index":721,"sum":141518,"residue":590},{"from_index":721,"to_index":1089,"sum":138503,"residue":511},{"from_index":1089,"to_index":1457,"sum":136013,"residue":223},{"from_index":1457,"to_index":1825,"sum":127860,"residue":144},{"from_index":1825,"to_index":2193,"sum":130875,"residue":223},{"from_index":2193,"to_index":353,"sum":132631,"residue":511}],"minimal_cycle":[590,511,223,144,223,511],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":590,"start_interval_clock_positions":[353,721],"circle_positions":734,"cycle_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":[354,722,1090,1458,1826,2194],"clock_positions":[354,722,1090,1458,1826,2194],"native_values":[10,357,377,724,377,357],"rotation_degrees":57.71739130434783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[10,357,377,724,377,357],"beta":{"interval_sums":[141751,138270,135879,127627,131108,132765],"interval_residues":[89,278,89,645,456,645],"display_cycle":[89,278,89,645,456,645],"intervals":[{"from_index":354,"to_index":722,"sum":141751,"residue":89},{"from_index":722,"to_index":1090,"sum":138270,"residue":278},{"from_index":1090,"to_index":1458,"sum":135879,"residue":89},{"from_index":1458,"to_index":1826,"sum":127627,"residue":645},{"from_index":1826,"to_index":2194,"sum":131108,"residue":456},{"from_index":2194,"to_index":354,"sum":132765,"residue":645}],"minimal_cycle":[89,278,89,645,456,645],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[354,722],"circle_positions":734,"cycle_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":[355,723,1091,1459,1827,2195],"clock_positions":[355,723,1091,1459,1827,2195],"native_values":[501,600,501,233,134,233],"rotation_degrees":57.880434782608695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[501,600,501,233,134,233],"beta":{"interval_sums":[141607,138047,136102,127771,131331,132542],"interval_residues":[679,55,312,55,679,422],"display_cycle":[679,55,312,55,679,422],"intervals":[{"from_index":355,"to_index":723,"sum":141607,"residue":679},{"from_index":723,"to_index":1091,"sum":138047,"residue":55},{"from_index":1091,"to_index":1459,"sum":136102,"residue":312},{"from_index":1459,"to_index":1827,"sum":127771,"residue":55},{"from_index":1827,"to_index":2195,"sum":131331,"residue":679},{"from_index":2195,"to_index":355,"sum":132542,"residue":422}],"minimal_cycle":[679,55,312,55,679,422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":679,"start_interval_clock_positions":[355,723],"circle_positions":734,"cycle_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":[356,724,1092,1460,1828,2196],"clock_positions":[356,724,1092,1460,1828,2196],"native_values":[511,223,144,223,511,590],"rotation_degrees":58.04347826086956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[511,223,144,223,511,590],"beta":{"interval_sums":[141696,138325,136191,127682,131053,132453],"interval_residues":[34,333,401,700,401,333],"display_cycle":[34,333,401,700,401,333],"intervals":[{"from_index":356,"to_index":724,"sum":141696,"residue":34},{"from_index":724,"to_index":1092,"sum":138325,"residue":333},{"from_index":1092,"to_index":1460,"sum":136191,"residue":401},{"from_index":1460,"to_index":1828,"sum":127682,"residue":700},{"from_index":1828,"to_index":2196,"sum":131053,"residue":401},{"from_index":2196,"to_index":356,"sum":132453,"residue":333}],"minimal_cycle":[34,333,401,700,401,333],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[356,724],"circle_positions":734,"cycle_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":[357,725,1093,1461,1829,2197],"clock_positions":[357,725,1093,1461,1829,2197],"native_values":[278,89,645,456,645,89],"rotation_degrees":58.20652173913044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,89,645,456,645,89],"beta":{"interval_sums":[141641,138380,135769,127737,130998,132875],"interval_residues":[713,388,713,21,346,21],"display_cycle":[713,388,713,21,346,21],"intervals":[{"from_index":357,"to_index":725,"sum":141641,"residue":713},{"from_index":725,"to_index":1093,"sum":138380,"residue":388},{"from_index":1093,"to_index":1461,"sum":135769,"residue":713},{"from_index":1461,"to_index":1829,"sum":127737,"residue":21},{"from_index":1829,"to_index":2197,"sum":130998,"residue":346},{"from_index":2197,"to_index":357,"sum":132875,"residue":21}],"minimal_cycle":[713,388,713,21,346,21],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":713,"start_interval_clock_positions":[357,725],"circle_positions":734,"cycle_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":[358,726,1094,1462,1830,2198],"clock_positions":[358,726,1094,1462,1830,2198],"native_values":[55,312,55,679,422,679],"rotation_degrees":58.369565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,312,55,679,422,679],"beta":{"interval_sums":[141675,138713,136170,127703,130665,132474],"interval_residues":[13,721,380,721,13,354],"display_cycle":[13,721,380,721,13,354],"intervals":[{"from_index":358,"to_index":726,"sum":141675,"residue":13},{"from_index":726,"to_index":1094,"sum":138713,"residue":721},{"from_index":1094,"to_index":1462,"sum":136170,"residue":380},{"from_index":1462,"to_index":1830,"sum":127703,"residue":721},{"from_index":1830,"to_index":2198,"sum":130665,"residue":13},{"from_index":2198,"to_index":358,"sum":132474,"residue":354}],"minimal_cycle":[13,721,380,721,13,354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":13,"start_interval_clock_positions":[358,726],"circle_positions":734,"cycle_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":[359,727,1095,1463,1831,2199],"clock_positions":[359,727,1095,1463,1831,2199],"native_values":[333,401,700,401,333,34],"rotation_degrees":58.53260869565217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,401,700,401,333,34],"beta":{"interval_sums":[141654,138367,136149,127724,131011,132495],"interval_residues":[726,375,359,8,359,375],"display_cycle":[726,375,359,8,359,375],"intervals":[{"from_index":359,"to_index":727,"sum":141654,"residue":726},{"from_index":727,"to_index":1095,"sum":138367,"residue":375},{"from_index":1095,"to_index":1463,"sum":136149,"residue":359},{"from_index":1463,"to_index":1831,"sum":127724,"residue":8},{"from_index":1831,"to_index":2199,"sum":131011,"residue":359},{"from_index":2199,"to_index":359,"sum":132495,"residue":375}],"minimal_cycle":[726,375,359,8,359,375],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":726,"start_interval_clock_positions":[359,727],"circle_positions":734,"cycle_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":[360,728,1096,1464,1832,2200],"clock_positions":[360,728,1096,1464,1832,2200],"native_values":[388,713,21,346,21,713],"rotation_degrees":58.69565217391305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[388,713,21,346,21,713],"beta":{"interval_sums":[141667,138354,136529,127711,131024,132115],"interval_residues":[5,362,5,729,372,729],"display_cycle":[5,362,5,729,372,729],"intervals":[{"from_index":360,"to_index":728,"sum":141667,"residue":5},{"from_index":728,"to_index":1096,"sum":138354,"residue":362},{"from_index":1096,"to_index":1464,"sum":136529,"residue":5},{"from_index":1464,"to_index":1832,"sum":127711,"residue":729},{"from_index":1832,"to_index":2200,"sum":131024,"residue":372},{"from_index":2200,"to_index":360,"sum":132115,"residue":729}],"minimal_cycle":[5,362,5,729,372,729],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":5,"start_interval_clock_positions":[360,728],"circle_positions":734,"cycle_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":[361,729,1097,1465,1833,2201],"clock_positions":[361,729,1097,1465,1833,2201],"native_values":[721,380,721,13,354,13],"rotation_degrees":58.858695652173914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[721,380,721,13,354,13],"beta":{"interval_sums":[141659,137995,136154,127719,131383,132490],"interval_residues":[731,3,364,3,731,370],"display_cycle":[731,3,364,3,731,370],"intervals":[{"from_index":361,"to_index":729,"sum":141659,"residue":731},{"from_index":729,"to_index":1097,"sum":137995,"residue":3},{"from_index":1097,"to_index":1465,"sum":136154,"residue":364},{"from_index":1465,"to_index":1833,"sum":127719,"residue":3},{"from_index":1833,"to_index":2201,"sum":131383,"residue":731},{"from_index":2201,"to_index":361,"sum":132490,"residue":370}],"minimal_cycle":[731,3,364,3,731,370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":731,"start_interval_clock_positions":[361,729],"circle_positions":734,"cycle_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":[362,730,1098,1466,1834,2202],"clock_positions":[362,730,1098,1466,1834,2202],"native_values":[375,359,8,359,375,726],"rotation_degrees":59.02173913043478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[375,359,8,359,375,726],"beta":{"interval_sums":[141664,138357,136159,127714,131021,132485],"interval_residues":[2,365,369,732,369,365],"display_cycle":[2,365,369,732,369,365],"intervals":[{"from_index":362,"to_index":730,"sum":141664,"residue":2},{"from_index":730,"to_index":1098,"sum":138357,"residue":365},{"from_index":1098,"to_index":1466,"sum":136159,"residue":369},{"from_index":1466,"to_index":1834,"sum":127714,"residue":732},{"from_index":1834,"to_index":2202,"sum":131021,"residue":369},{"from_index":2202,"to_index":362,"sum":132485,"residue":365}],"minimal_cycle":[2,365,369,732,369,365],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[362,730],"circle_positions":734,"cycle_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":[363,731,1099,1467,1835,2203],"clock_positions":[363,731,1099,1467,1835,2203],"native_values":[362,5,729,372,729,5],"rotation_degrees":59.18478260869565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[362,5,729,372,729,5],"beta":{"interval_sums":[141661,138360,135789,127717,131018,132855],"interval_residues":[733,368,733,1,366,1],"display_cycle":[733,368,733,1,366,1],"intervals":[{"from_index":363,"to_index":731,"sum":141661,"residue":733},{"from_index":731,"to_index":1099,"sum":138360,"residue":368},{"from_index":1099,"to_index":1467,"sum":135789,"residue":733},{"from_index":1467,"to_index":1835,"sum":127717,"residue":1},{"from_index":1835,"to_index":2203,"sum":131018,"residue":366},{"from_index":2203,"to_index":363,"sum":132855,"residue":1}],"minimal_cycle":[733,368,733,1,366,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":733,"start_interval_clock_positions":[363,731],"circle_positions":734,"cycle_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":[364,732,1100,1468,1836,2204],"clock_positions":[364,732,1100,1468,1836,2204],"native_values":[3,364,3,731,370,731],"rotation_degrees":59.34782608695652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,364,3,731,370,731],"beta":{"interval_sums":[141663,138725,136158,127715,130653,132486],"interval_residues":[1,733,368,733,1,366],"display_cycle":[1,733,368,733,1,366],"intervals":[{"from_index":364,"to_index":732,"sum":141663,"residue":1},{"from_index":732,"to_index":1100,"sum":138725,"residue":733},{"from_index":1100,"to_index":1468,"sum":136158,"residue":368},{"from_index":1468,"to_index":1836,"sum":127715,"residue":733},{"from_index":1836,"to_index":2204,"sum":130653,"residue":1},{"from_index":2204,"to_index":364,"sum":132486,"residue":366}],"minimal_cycle":[1,733,368,733,1,366],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[364,732],"circle_positions":734,"cycle_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":[365,733,1101,1469,1837,2205],"clock_positions":[365,733,1101,1469,1837,2205],"native_values":[365,369,732,369,365,2],"rotation_degrees":59.51086956521739,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[365,369,732,369,365,2],"beta":{"interval_sums":[141662,138359,136157,127716,131019,132487],"interval_residues":[0,367,367,0,367,367],"display_cycle":[734,367,367,734,367,367],"intervals":[{"from_index":365,"to_index":733,"sum":141662,"residue":0},{"from_index":733,"to_index":1101,"sum":138359,"residue":367},{"from_index":1101,"to_index":1469,"sum":136157,"residue":367},{"from_index":1469,"to_index":1837,"sum":127716,"residue":0},{"from_index":1837,"to_index":2205,"sum":131019,"residue":367},{"from_index":2205,"to_index":365,"sum":132487,"residue":367}],"minimal_cycle":[0,367,367],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":734,"start_interval_clock_positions":[365,733],"circle_positions":734,"cycle_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":[366,734,1102,1470,1838,2206],"clock_positions":[366,734,1102,1470,1838,2206],"native_values":[368,733,1,366,1,733],"rotation_degrees":59.67391304347826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[368,733,1,366,1,733],"beta":{"interval_sums":[141663,138358,136525,127715,131020,132119],"interval_residues":[1,366,1,733,368,733],"display_cycle":[1,366,1,733,368,733],"intervals":[{"from_index":366,"to_index":734,"sum":141663,"residue":1},{"from_index":734,"to_index":1102,"sum":138358,"residue":366},{"from_index":1102,"to_index":1470,"sum":136525,"residue":1},{"from_index":1470,"to_index":1838,"sum":127715,"residue":733},{"from_index":1838,"to_index":2206,"sum":131020,"residue":368},{"from_index":2206,"to_index":366,"sum":132119,"residue":733}],"minimal_cycle":[1,366,1,733,368,733],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[366,734],"circle_positions":734,"cycle_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":[367,735,1103,1471,1839,2207],"clock_positions":[367,735,1103,1471,1839,2207],"native_values":[733,368,733,1,366,1],"rotation_degrees":59.83695652173913,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[733,368,733,1,366,1],"beta":{"interval_sums":[141663,137991,136158,127715,131387,132486],"interval_residues":[1,733,368,733,1,366],"display_cycle":[1,733,368,733,1,366],"intervals":[{"from_index":367,"to_index":735,"sum":141663,"residue":1},{"from_index":735,"to_index":1103,"sum":137991,"residue":733},{"from_index":1103,"to_index":1471,"sum":136158,"residue":368},{"from_index":1471,"to_index":1839,"sum":127715,"residue":733},{"from_index":1839,"to_index":2207,"sum":131387,"residue":1},{"from_index":2207,"to_index":367,"sum":132486,"residue":366}],"minimal_cycle":[1,733,368,733,1,366],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[367,735],"circle_positions":734,"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":[734,367,367,734,367,367],"rotation_degrees":0.0,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"}],"research":{"focus":"OXTR gene expression","biological_significance_status":"Not yet assessed","statistical_significance_status":"Not yet assessed","quantum_annealing_status":"Not yet performed","tiers":[{"name":"Creates cellular life","range":[8,10],"wss_score":null,"evidence":[]},{"name":"Supports cellular life","range":[5,7],"wss_score":null,"evidence":[]},{"name":"Creates elemental life","range":[1,4],"wss_score":null,"evidence":[]}],"background_literature":{"register_id":"oxtr-phase1-literature","register_version":"2026-10-18.1","register_file":"research-register.json","relationship":"background_context","scope":"Shared background literature for the initial OXTR research programme across M1–M1001. Studies of related mechanisms in other systems provide context for investigation.","publication_ids":["E01","E02","E03","E04","E05","E06","E07","E08","E09","E10","E11","E12","E13","E14"],"hero_publication_ids":["E03","E06","E08","E11"],"modulus_relevance_status":"Not yet assessed"}},"verification":{"python":"Passed","wolfram":"Passed","scope":"Native period, sequences, regular polygon index spacing and reference Epsilon routes; no physical or biological validation.","wolfram_scope":"Native Pisano period; complete Alpha, primary Gamma indices, Beta interval sums and residues, primary equilateral-triangle and hexagon indices. Independent integer Fibonacci evaluation and SHA-256 comparisons. Extended catalogue, Chevron and native/cycle-based Epsilon are Python-checked.","evidence":"m1001-verification.json"},"reduction_to_m9":{"version":"m9-reduction-v1","target_modulus":9,"status":"Outside divisible-by-nine family","applicable":false,"research_question":"Does the shared M9 pattern have shared biological relevance, or does native-modulus complexity change it? Unassessed: requires peer-reviewed evidence, in silico modelling (including proposed CUDA/CUDA-Q work), and appropriate experimental validation. No spatial-dimension claim or WSS score follows from this arithmetic match.","biological_significance":"Not yet assessed","native_data_preserved":true},"epsilon_m9_comparison":{"rule_version":"epsilon-m9-exact-v2","geometry_identical":true,"reduced_sequence_identical":false,"combined_eligible":false,"alpha_indices":[0,736,1840,1104,368,1472,0],"clock_positions":[2208,736,1840,1104,368,1472,2208],"native_values":[734,367,367,734,367,367,734],"reduced_m9_values":[9,7,7,9,7,7,9],"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":368,"candidates":[{"formation_id":"6-nodes-offset-0","alpha_indices":[0,368,736,1104,1472,1840],"clock_positions":[2208,368,736,1104,1472,1840],"native_values":[734,367,367,734,367,367],"rotation_degrees":0.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":0,"clock_position":2208,"value":734},{"alpha_index":368,"clock_position":368,"value":367},{"alpha_index":736,"clock_position":736,"value":367},{"alpha_index":1104,"clock_position":1104,"value":734},{"alpha_index":1472,"clock_position":1472,"value":367},{"alpha_index":1840,"clock_position":1840,"value":367}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-1","alpha_indices":[1,369,737,1105,1473,1841],"clock_positions":[1,369,737,1105,1473,1841],"native_values":[1,366,1,733,368,733],"rotation_degrees":0.16304347826086957,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":1,"clock_position":1,"value":1},{"alpha_index":369,"clock_position":369,"value":366},{"alpha_index":737,"clock_position":737,"value":1},{"alpha_index":1105,"clock_position":1105,"value":733},{"alpha_index":1473,"clock_position":1473,"value":368},{"alpha_index":1841,"clock_position":1841,"value":733}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-2","alpha_indices":[2,370,738,1106,1474,1842],"clock_positions":[2,370,738,1106,1474,1842],"native_values":[1,733,368,733,1,366],"rotation_degrees":0.32608695652173914,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":2,"clock_position":2,"value":1},{"alpha_index":370,"clock_position":370,"value":733},{"alpha_index":738,"clock_position":738,"value":368},{"alpha_index":1106,"clock_position":1106,"value":733},{"alpha_index":1474,"clock_position":1474,"value":1},{"alpha_index":1842,"clock_position":1842,"value":366}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-3","alpha_indices":[3,371,739,1107,1475,1843],"clock_positions":[3,371,739,1107,1475,1843],"native_values":[2,365,369,732,369,365],"rotation_degrees":0.4891304347826087,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":3,"clock_position":3,"value":2},{"alpha_index":371,"clock_position":371,"value":365},{"alpha_index":739,"clock_position":739,"value":369},{"alpha_index":1107,"clock_position":1107,"value":732},{"alpha_index":1475,"clock_position":1475,"value":369},{"alpha_index":1843,"clock_position":1843,"value":365}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-4","alpha_indices":[4,372,740,1108,1476,1844],"clock_positions":[4,372,740,1108,1476,1844],"native_values":[3,364,3,731,370,731],"rotation_degrees":0.6521739130434783,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":372,"clock_position":372,"value":364},{"alpha_index":1108,"clock_position":1108,"value":731},{"alpha_index":1476,"clock_position":1476,"value":370},{"alpha_index":1844,"clock_position":1844,"value":731}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-5","alpha_indices":[5,373,741,1109,1477,1845],"clock_positions":[5,373,741,1109,1477,1845],"native_values":[5,729,372,729,5,362],"rotation_degrees":0.8152173913043478,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":5,"clock_position":5,"value":5},{"alpha_index":373,"clock_position":373,"value":729},{"alpha_index":741,"clock_position":741,"value":372},{"alpha_index":1109,"clock_position":1109,"value":729},{"alpha_index":1477,"clock_position":1477,"value":5},{"alpha_index":1845,"clock_position":1845,"value":362}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-6","alpha_indices":[6,374,742,1110,1478,1846],"clock_positions":[6,374,742,1110,1478,1846],"native_values":[8,359,375,726,375,359],"rotation_degrees":0.9782608695652174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":6,"clock_position":6,"value":8},{"alpha_index":374,"clock_position":374,"value":359},{"alpha_index":742,"clock_position":742,"value":375},{"alpha_index":1110,"clock_position":1110,"value":726},{"alpha_index":1478,"clock_position":1478,"value":375},{"alpha_index":1846,"clock_position":1846,"value":359}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-7","alpha_indices":[7,375,743,1111,1479,1847],"clock_positions":[7,375,743,1111,1479,1847],"native_values":[13,354,13,721,380,721],"rotation_degrees":1.141304347826087,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":7,"clock_position":7,"value":13},{"alpha_index":375,"clock_position":375,"value":354},{"alpha_index":743,"clock_position":743,"value":13},{"alpha_index":1111,"clock_position":1111,"value":721},{"alpha_index":1479,"clock_position":1479,"value":380},{"alpha_index":1847,"clock_position":1847,"value":721}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-8","alpha_indices":[8,376,744,1112,1480,1848],"clock_positions":[8,376,744,1112,1480,1848],"native_values":[21,713,388,713,21,346],"rotation_degrees":1.3043478260869565,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":8,"clock_position":8,"value":21},{"alpha_index":376,"clock_position":376,"value":713},{"alpha_index":744,"clock_position":744,"value":388},{"alpha_index":1112,"clock_position":1112,"value":713},{"alpha_index":1480,"clock_position":1480,"value":21},{"alpha_index":1848,"clock_position":1848,"value":346}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-9","alpha_indices":[9,377,745,1113,1481,1849],"clock_positions":[9,377,745,1113,1481,1849],"native_values":[34,333,401,700,401,333],"rotation_degrees":1.4673913043478262,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":9,"clock_position":9,"value":34},{"alpha_index":377,"clock_position":377,"value":333},{"alpha_index":745,"clock_position":745,"value":401},{"alpha_index":1113,"clock_position":1113,"value":700},{"alpha_index":1481,"clock_position":1481,"value":401},{"alpha_index":1849,"clock_position":1849,"value":333}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-10","alpha_indices":[10,378,746,1114,1482,1850],"clock_positions":[10,378,746,1114,1482,1850],"native_values":[55,312,55,679,422,679],"rotation_degrees":1.6304347826086956,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":10,"clock_position":10,"value":55},{"alpha_index":378,"clock_position":378,"value":312},{"alpha_index":746,"clock_position":746,"value":55},{"alpha_index":1114,"clock_position":1114,"value":679},{"alpha_index":1482,"clock_position":1482,"value":422},{"alpha_index":1850,"clock_position":1850,"value":679}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-11","alpha_indices":[11,379,747,1115,1483,1851],"clock_positions":[11,379,747,1115,1483,1851],"native_values":[89,645,456,645,89,278],"rotation_degrees":1.7934782608695652,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":11,"clock_position":11,"value":89},{"alpha_index":379,"clock_position":379,"value":645},{"alpha_index":747,"clock_position":747,"value":456},{"alpha_index":1115,"clock_position":1115,"value":645},{"alpha_index":1483,"clock_position":1483,"value":89},{"alpha_index":1851,"clock_position":1851,"value":278}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-12","alpha_indices":[12,380,748,1116,1484,1852],"clock_positions":[12,380,748,1116,1484,1852],"native_values":[144,223,511,590,511,223],"rotation_degrees":1.9565217391304348,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":12,"clock_position":12,"value":144},{"alpha_index":380,"clock_position":380,"value":223},{"alpha_index":748,"clock_position":748,"value":511},{"alpha_index":1116,"clock_position":1116,"value":590},{"alpha_index":1484,"clock_position":1484,"value":511},{"alpha_index":1852,"clock_position":1852,"value":223}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-13","alpha_indices":[13,381,749,1117,1485,1853],"clock_positions":[13,381,749,1117,1485,1853],"native_values":[233,134,233,501,600,501],"rotation_degrees":2.119565217391304,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":13,"clock_position":13,"value":233},{"alpha_index":381,"clock_position":381,"value":134},{"alpha_index":749,"clock_position":749,"value":233},{"alpha_index":1117,"clock_position":1117,"value":501},{"alpha_index":1485,"clock_position":1485,"value":600},{"alpha_index":1853,"clock_position":1853,"value":501}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-14","alpha_indices":[14,382,750,1118,1486,1854],"clock_positions":[14,382,750,1118,1486,1854],"native_values":[377,357,10,357,377,724],"rotation_degrees":2.282608695652174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":14,"clock_position":14,"value":377},{"alpha_index":382,"clock_position":382,"value":357},{"alpha_index":750,"clock_position":750,"value":10},{"alpha_index":1118,"clock_position":1118,"value":357},{"alpha_index":1486,"clock_position":1486,"value":377},{"alpha_index":1854,"clock_position":1854,"value":724}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-15","alpha_indices":[15,383,751,1119,1487,1855],"clock_positions":[15,383,751,1119,1487,1855],"native_values":[610,491,243,124,243,491],"rotation_degrees":2.4456521739130435,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":15,"clock_position":15,"value":610},{"alpha_index":383,"clock_position":383,"value":491},{"alpha_index":751,"clock_position":751,"value":243},{"alpha_index":1119,"clock_position":1119,"value":124},{"alpha_index":1487,"clock_position":1487,"value":243},{"alpha_index":1855,"clock_position":1855,"value":491}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-16","alpha_indices":[16,384,752,1120,1488,1856],"clock_positions":[16,384,752,1120,1488,1856],"native_values":[253,114,253,481,620,481],"rotation_degrees":2.608695652173913,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":16,"clock_position":16,"value":253},{"alpha_index":384,"clock_position":384,"value":114},{"alpha_index":752,"clock_position":752,"value":253},{"alpha_index":1120,"clock_position":1120,"value":481},{"alpha_index":1488,"clock_position":1488,"value":620},{"alpha_index":1856,"clock_position":1856,"value":481}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-17","alpha_indices":[17,385,753,1121,1489,1857],"clock_positions":[17,385,753,1121,1489,1857],"native_values":[129,605,496,605,129,238],"rotation_degrees":2.7717391304347827,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":17,"clock_position":17,"value":129},{"alpha_index":385,"clock_position":385,"value":605},{"alpha_index":753,"clock_position":753,"value":496},{"alpha_index":1121,"clock_position":1121,"value":605},{"alpha_index":1489,"clock_position":1489,"value":129},{"alpha_index":1857,"clock_position":1857,"value":238}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-18","alpha_indices":[18,386,754,1122,1490,1858],"clock_positions":[18,386,754,1122,1490,1858],"native_values":[382,719,15,352,15,719],"rotation_degrees":2.9347826086956523,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":18,"clock_position":18,"value":382},{"alpha_index":386,"clock_position":386,"value":719},{"alpha_index":754,"clock_position":754,"value":15},{"alpha_index":1122,"clock_position":1122,"value":352},{"alpha_index":1490,"clock_position":1490,"value":15},{"alpha_index":1858,"clock_position":1858,"value":719}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-19","alpha_indices":[19,387,755,1123,1491,1859],"clock_positions":[19,387,755,1123,1491,1859],"native_values":[511,590,511,223,144,223],"rotation_degrees":3.097826086956522,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":19,"clock_position":19,"value":511},{"alpha_index":387,"clock_position":387,"value":590},{"alpha_index":755,"clock_position":755,"value":511},{"alpha_index":1123,"clock_position":1123,"value":223},{"alpha_index":1491,"clock_position":1491,"value":144},{"alpha_index":1859,"clock_position":1859,"value":223}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-20","alpha_indices":[20,388,756,1124,1492,1860],"clock_positions":[20,388,756,1124,1492,1860],"native_values":[159,575,526,575,159,208],"rotation_degrees":3.260869565217391,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":20,"clock_position":20,"value":159},{"alpha_index":388,"clock_position":388,"value":575},{"alpha_index":756,"clock_position":756,"value":526},{"alpha_index":1124,"clock_position":1124,"value":575},{"alpha_index":1492,"clock_position":1492,"value":159},{"alpha_index":1860,"clock_position":1860,"value":208}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-21","alpha_indices":[21,389,757,1125,1493,1861],"clock_positions":[21,389,757,1125,1493,1861],"native_values":[670,431,303,64,303,431],"rotation_degrees":3.4239130434782608,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":21,"clock_position":21,"value":670},{"alpha_index":389,"clock_position":389,"value":431},{"alpha_index":757,"clock_position":757,"value":303},{"alpha_index":1125,"clock_position":1125,"value":64},{"alpha_index":1493,"clock_position":1493,"value":303},{"alpha_index":1861,"clock_position":1861,"value":431}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-22","alpha_indices":[22,390,758,1126,1494,1862],"clock_positions":[22,390,758,1126,1494,1862],"native_values":[95,272,95,639,462,639],"rotation_degrees":3.5869565217391304,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":22,"clock_position":22,"value":95},{"alpha_index":390,"clock_position":390,"value":272},{"alpha_index":758,"clock_position":758,"value":95},{"alpha_index":1126,"clock_position":1126,"value":639},{"alpha_index":1494,"clock_position":1494,"value":462},{"alpha_index":1862,"clock_position":1862,"value":639}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-23","alpha_indices":[23,391,759,1127,1495,1863],"clock_positions":[23,391,759,1127,1495,1863],"native_values":[31,703,398,703,31,336],"rotation_degrees":3.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":23,"clock_position":23,"value":31},{"alpha_index":391,"clock_position":391,"value":703},{"alpha_index":759,"clock_position":759,"value":398},{"alpha_index":1127,"clock_position":1127,"value":703},{"alpha_index":1495,"clock_position":1495,"value":31},{"alpha_index":1863,"clock_position":1863,"value":336}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-24","alpha_indices":[24,392,760,1128,1496,1864],"clock_positions":[24,392,760,1128,1496,1864],"native_values":[126,241,493,608,493,241],"rotation_degrees":3.9130434782608696,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":24,"clock_position":24,"value":126},{"alpha_index":392,"clock_position":392,"value":241},{"alpha_index":760,"clock_position":760,"value":493},{"alpha_index":1128,"clock_position":1128,"value":608},{"alpha_index":1496,"clock_position":1496,"value":493},{"alpha_index":1864,"clock_position":1864,"value":241}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-25","alpha_indices":[25,393,761,1129,1497,1865],"clock_positions":[25,393,761,1129,1497,1865],"native_values":[157,210,157,577,524,577],"rotation_degrees":4.076086956521739,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":25,"clock_position":25,"value":157},{"alpha_index":393,"clock_position":393,"value":210},{"alpha_index":761,"clock_position":761,"value":157},{"alpha_index":1129,"clock_position":1129,"value":577},{"alpha_index":1497,"clock_position":1497,"value":524},{"alpha_index":1865,"clock_position":1865,"value":577}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-26","alpha_indices":[26,394,762,1130,1498,1866],"clock_positions":[26,394,762,1130,1498,1866],"native_values":[283,451,650,451,283,84],"rotation_degrees":4.239130434782608,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":26,"clock_position":26,"value":283},{"alpha_index":394,"clock_position":394,"value":451},{"alpha_index":762,"clock_position":762,"value":650},{"alpha_index":1130,"clock_position":1130,"value":451},{"alpha_index":1498,"clock_position":1498,"value":283},{"alpha_index":1866,"clock_position":1866,"value":84}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-27","alpha_indices":[27,395,763,1131,1499,1867],"clock_positions":[27,395,763,1131,1499,1867],"native_values":[440,661,73,294,73,661],"rotation_degrees":4.4021739130434785,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":27,"clock_position":27,"value":440},{"alpha_index":395,"clock_position":395,"value":661},{"alpha_index":763,"clock_position":763,"value":73},{"alpha_index":1131,"clock_position":1131,"value":294},{"alpha_index":1499,"clock_position":1499,"value":73},{"alpha_index":1867,"clock_position":1867,"value":661}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-28","alpha_indices":[28,396,764,1132,1500,1868],"clock_positions":[28,396,764,1132,1500,1868],"native_values":[723,378,723,11,356,11],"rotation_degrees":4.565217391304348,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":28,"clock_position":28,"value":723},{"alpha_index":396,"clock_position":396,"value":378},{"alpha_index":764,"clock_position":764,"value":723},{"alpha_index":1132,"clock_position":1132,"value":11},{"alpha_index":1500,"clock_position":1500,"value":356},{"alpha_index":1868,"clock_position":1868,"value":11}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-29","alpha_indices":[29,397,765,1133,1501,1869],"clock_positions":[29,397,765,1133,1501,1869],"native_values":[429,305,62,305,429,672],"rotation_degrees":4.728260869565218,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":29,"clock_position":29,"value":429},{"alpha_index":397,"clock_position":397,"value":305},{"alpha_index":765,"clock_position":765,"value":62},{"alpha_index":1133,"clock_position":1133,"value":305},{"alpha_index":1501,"clock_position":1501,"value":429},{"alpha_index":1869,"clock_position":1869,"value":672}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-30","alpha_indices":[30,398,766,1134,1502,1870],"clock_positions":[30,398,766,1134,1502,1870],"native_values":[418,683,51,316,51,683],"rotation_degrees":4.891304347826087,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":30,"clock_position":30,"value":418},{"alpha_index":398,"clock_position":398,"value":683},{"alpha_index":766,"clock_position":766,"value":51},{"alpha_index":1134,"clock_position":1134,"value":316},{"alpha_index":1502,"clock_position":1502,"value":51},{"alpha_index":1870,"clock_position":1870,"value":683}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-31","alpha_indices":[31,399,767,1135,1503,1871],"clock_positions":[31,399,767,1135,1503,1871],"native_values":[113,254,113,621,480,621],"rotation_degrees":5.054347826086956,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":31,"clock_position":31,"value":113},{"alpha_index":399,"clock_position":399,"value":254},{"alpha_index":767,"clock_position":767,"value":113},{"alpha_index":1135,"clock_position":1135,"value":621},{"alpha_index":1503,"clock_position":1503,"value":480},{"alpha_index":1871,"clock_position":1871,"value":621}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-32","alpha_indices":[32,400,768,1136,1504,1872],"clock_positions":[32,400,768,1136,1504,1872],"native_values":[531,203,164,203,531,570],"rotation_degrees":5.217391304347826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":32,"clock_position":32,"value":531},{"alpha_index":400,"clock_position":400,"value":203},{"alpha_index":768,"clock_position":768,"value":164},{"alpha_index":1136,"clock_position":1136,"value":203},{"alpha_index":1504,"clock_position":1504,"value":531},{"alpha_index":1872,"clock_position":1872,"value":570}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-33","alpha_indices":[33,401,769,1137,1505,1873],"clock_positions":[33,401,769,1137,1505,1873],"native_values":[644,457,277,90,277,457],"rotation_degrees":5.380434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":33,"clock_position":33,"value":644},{"alpha_index":401,"clock_position":401,"value":457},{"alpha_index":769,"clock_position":769,"value":277},{"alpha_index":1137,"clock_position":1137,"value":90},{"alpha_index":1505,"clock_position":1505,"value":277},{"alpha_index":1873,"clock_position":1873,"value":457}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-34","alpha_indices":[34,402,770,1138,1506,1874],"clock_positions":[34,402,770,1138,1506,1874],"native_values":[441,660,441,293,74,293],"rotation_degrees":5.543478260869565,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":34,"clock_position":34,"value":441},{"alpha_index":402,"clock_position":402,"value":660},{"alpha_index":770,"clock_position":770,"value":441},{"alpha_index":1138,"clock_position":1138,"value":293},{"alpha_index":1506,"clock_position":1506,"value":74},{"alpha_index":1874,"clock_position":1874,"value":293}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-35","alpha_indices":[35,403,771,1139,1507,1875],"clock_positions":[35,403,771,1139,1507,1875],"native_values":[351,383,718,383,351,16],"rotation_degrees":5.706521739130435,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":35,"clock_position":35,"value":351},{"alpha_index":403,"clock_position":403,"value":383},{"alpha_index":771,"clock_position":771,"value":718},{"alpha_index":1139,"clock_position":1139,"value":383},{"alpha_index":1507,"clock_position":1507,"value":351},{"alpha_index":1875,"clock_position":1875,"value":16}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-36","alpha_indices":[36,404,772,1140,1508,1876],"clock_positions":[36,404,772,1140,1508,1876],"native_values":[58,309,425,676,425,309],"rotation_degrees":5.869565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":36,"clock_position":36,"value":58},{"alpha_index":404,"clock_position":404,"value":309},{"alpha_index":772,"clock_position":772,"value":425},{"alpha_index":1140,"clock_position":1140,"value":676},{"alpha_index":1508,"clock_position":1508,"value":425},{"alpha_index":1876,"clock_position":1876,"value":309}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-37","alpha_indices":[37,405,773,1141,1509,1877],"clock_positions":[37,405,773,1141,1509,1877],"native_values":[409,692,409,325,42,325],"rotation_degrees":6.032608695652174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":37,"clock_position":37,"value":409},{"alpha_index":405,"clock_position":405,"value":692},{"alpha_index":773,"clock_position":773,"value":409},{"alpha_index":1141,"clock_position":1141,"value":325},{"alpha_index":1509,"clock_position":1509,"value":42},{"alpha_index":1877,"clock_position":1877,"value":325}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-38","alpha_indices":[38,406,774,1142,1510,1878],"clock_positions":[38,406,774,1142,1510,1878],"native_values":[467,267,100,267,467,634],"rotation_degrees":6.195652173913044,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":38,"clock_position":38,"value":467},{"alpha_index":406,"clock_position":406,"value":267},{"alpha_index":774,"clock_position":774,"value":100},{"alpha_index":1142,"clock_position":1142,"value":267},{"alpha_index":1510,"clock_position":1510,"value":467},{"alpha_index":1878,"clock_position":1878,"value":634}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-39","alpha_indices":[39,407,775,1143,1511,1879],"clock_positions":[39,407,775,1143,1511,1879],"native_values":[142,225,509,592,509,225],"rotation_degrees":6.358695652173913,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":39,"clock_position":39,"value":142},{"alpha_index":407,"clock_position":407,"value":225},{"alpha_index":775,"clock_position":775,"value":509},{"alpha_index":1143,"clock_position":1143,"value":592},{"alpha_index":1511,"clock_position":1511,"value":509},{"alpha_index":1879,"clock_position":1879,"value":225}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-40","alpha_indices":[40,408,776,1144,1512,1880],"clock_positions":[40,408,776,1144,1512,1880],"native_values":[609,492,609,125,242,125],"rotation_degrees":6.521739130434782,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":40,"clock_position":40,"value":609},{"alpha_index":408,"clock_position":408,"value":492},{"alpha_index":776,"clock_position":776,"value":609},{"alpha_index":1144,"clock_position":1144,"value":125},{"alpha_index":1512,"clock_position":1512,"value":242},{"alpha_index":1880,"clock_position":1880,"value":125}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-41","alpha_indices":[41,409,777,1145,1513,1881],"clock_positions":[41,409,777,1145,1513,1881],"native_values":[17,717,384,717,17,350],"rotation_degrees":6.684782608695652,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":41,"clock_position":41,"value":17},{"alpha_index":409,"clock_position":409,"value":717},{"alpha_index":777,"clock_position":777,"value":384},{"alpha_index":1145,"clock_position":1145,"value":717},{"alpha_index":1513,"clock_position":1513,"value":17},{"alpha_index":1881,"clock_position":1881,"value":350}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-42","alpha_indices":[42,410,778,1146,1514,1882],"clock_positions":[42,410,778,1146,1514,1882],"native_values":[626,475,259,108,259,475],"rotation_degrees":6.8478260869565215,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":42,"clock_position":42,"value":626},{"alpha_index":410,"clock_position":410,"value":475},{"alpha_index":778,"clock_position":778,"value":259},{"alpha_index":1146,"clock_position":1146,"value":108},{"alpha_index":1514,"clock_position":1514,"value":259},{"alpha_index":1882,"clock_position":1882,"value":475}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-43","alpha_indices":[43,411,779,1147,1515,1883],"clock_positions":[43,411,779,1147,1515,1883],"native_values":[643,458,643,91,276,91],"rotation_degrees":7.010869565217392,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":43,"clock_position":43,"value":643},{"alpha_index":411,"clock_position":411,"value":458},{"alpha_index":779,"clock_position":779,"value":643},{"alpha_index":1147,"clock_position":1147,"value":91},{"alpha_index":1515,"clock_position":1515,"value":276},{"alpha_index":1883,"clock_position":1883,"value":91}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-44","alpha_indices":[44,412,780,1148,1516,1884],"clock_positions":[44,412,780,1148,1516,1884],"native_values":[535,199,168,199,535,566],"rotation_degrees":7.173913043478261,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":44,"clock_position":44,"value":535},{"alpha_index":412,"clock_position":412,"value":199},{"alpha_index":780,"clock_position":780,"value":168},{"alpha_index":1148,"clock_position":1148,"value":199},{"alpha_index":1516,"clock_position":1516,"value":535},{"alpha_index":1884,"clock_position":1884,"value":566}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-45","alpha_indices":[45,413,781,1149,1517,1885],"clock_positions":[45,413,781,1149,1517,1885],"native_values":[444,657,77,290,77,657],"rotation_degrees":7.336956521739131,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":45,"clock_position":45,"value":444},{"alpha_index":413,"clock_position":413,"value":657},{"alpha_index":781,"clock_position":781,"value":77},{"alpha_index":1149,"clock_position":1149,"value":290},{"alpha_index":1517,"clock_position":1517,"value":77},{"alpha_index":1885,"clock_position":1885,"value":657}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-46","alpha_indices":[46,414,782,1150,1518,1886],"clock_positions":[46,414,782,1150,1518,1886],"native_values":[245,122,245,489,612,489],"rotation_degrees":7.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":46,"clock_position":46,"value":245},{"alpha_index":414,"clock_position":414,"value":122},{"alpha_index":782,"clock_position":782,"value":245},{"alpha_index":1150,"clock_position":1150,"value":489},{"alpha_index":1518,"clock_position":1518,"value":612},{"alpha_index":1886,"clock_position":1886,"value":489}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-47","alpha_indices":[47,415,783,1151,1519,1887],"clock_positions":[47,415,783,1151,1519,1887],"native_values":[689,45,322,45,689,412],"rotation_degrees":7.663043478260869,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":47,"clock_position":47,"value":689},{"alpha_index":415,"clock_position":415,"value":45},{"alpha_index":783,"clock_position":783,"value":322},{"alpha_index":1151,"clock_position":1151,"value":45},{"alpha_index":1519,"clock_position":1519,"value":689},{"alpha_index":1887,"clock_position":1887,"value":412}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-48","alpha_indices":[48,416,784,1152,1520,1888],"clock_positions":[48,416,784,1152,1520,1888],"native_values":[200,167,567,534,567,167],"rotation_degrees":7.826086956521739,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":48,"clock_position":48,"value":200},{"alpha_index":416,"clock_position":416,"value":167},{"alpha_index":784,"clock_position":784,"value":567},{"alpha_index":1152,"clock_position":1152,"value":534},{"alpha_index":1520,"clock_position":1520,"value":567},{"alpha_index":1888,"clock_position":1888,"value":167}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-49","alpha_indices":[49,417,785,1153,1521,1889],"clock_positions":[49,417,785,1153,1521,1889],"native_values":[155,212,155,579,522,579],"rotation_degrees":7.989130434782608,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":49,"clock_position":49,"value":155},{"alpha_index":417,"clock_position":417,"value":212},{"alpha_index":785,"clock_position":785,"value":155},{"alpha_index":1153,"clock_position":1153,"value":579},{"alpha_index":1521,"clock_position":1521,"value":522},{"alpha_index":1889,"clock_position":1889,"value":579}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-50","alpha_indices":[50,418,786,1154,1522,1890],"clock_positions":[50,418,786,1154,1522,1890],"native_values":[355,379,722,379,355,12],"rotation_degrees":8.152173913043478,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":50,"clock_position":50,"value":355},{"alpha_index":418,"clock_position":418,"value":379},{"alpha_index":786,"clock_position":786,"value":722},{"alpha_index":1154,"clock_position":1154,"value":379},{"alpha_index":1522,"clock_position":1522,"value":355},{"alpha_index":1890,"clock_position":1890,"value":12}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-51","alpha_indices":[51,419,787,1155,1523,1891],"clock_positions":[51,419,787,1155,1523,1891],"native_values":[510,591,143,224,143,591],"rotation_degrees":8.315217391304348,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":51,"clock_position":51,"value":510},{"alpha_index":419,"clock_position":419,"value":591},{"alpha_index":787,"clock_position":787,"value":143},{"alpha_index":1155,"clock_position":1155,"value":224},{"alpha_index":1523,"clock_position":1523,"value":143},{"alpha_index":1891,"clock_position":1891,"value":591}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-52","alpha_indices":[52,420,788,1156,1524,1892],"clock_positions":[52,420,788,1156,1524,1892],"native_values":[131,236,131,603,498,603],"rotation_degrees":8.478260869565217,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":52,"clock_position":52,"value":131},{"alpha_index":420,"clock_position":420,"value":236},{"alpha_index":788,"clock_position":788,"value":131},{"alpha_index":1156,"clock_position":1156,"value":603},{"alpha_index":1524,"clock_position":1524,"value":498},{"alpha_index":1892,"clock_position":1892,"value":603}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-53","alpha_indices":[53,421,789,1157,1525,1893],"clock_positions":[53,421,789,1157,1525,1893],"native_values":[641,93,274,93,641,460],"rotation_degrees":8.641304347826088,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":53,"clock_position":53,"value":641},{"alpha_index":421,"clock_position":421,"value":93},{"alpha_index":789,"clock_position":789,"value":274},{"alpha_index":1157,"clock_position":1157,"value":93},{"alpha_index":1525,"clock_position":1525,"value":641},{"alpha_index":1893,"clock_position":1893,"value":460}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-54","alpha_indices":[54,422,790,1158,1526,1894],"clock_positions":[54,422,790,1158,1526,1894],"native_values":[38,329,405,696,405,329],"rotation_degrees":8.804347826086957,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":54,"clock_position":54,"value":38},{"alpha_index":422,"clock_position":422,"value":329},{"alpha_index":790,"clock_position":790,"value":405},{"alpha_index":1158,"clock_position":1158,"value":696},{"alpha_index":1526,"clock_position":1526,"value":405},{"alpha_index":1894,"clock_position":1894,"value":329}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-55","alpha_indices":[55,423,791,1159,1527,1895],"clock_positions":[55,423,791,1159,1527,1895],"native_values":[679,422,679,55,312,55],"rotation_degrees":8.967391304347826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":55,"clock_position":55,"value":679},{"alpha_index":423,"clock_position":423,"value":422},{"alpha_index":791,"clock_position":791,"value":679},{"alpha_index":1159,"clock_position":1159,"value":55},{"alpha_index":1527,"clock_position":1527,"value":312},{"alpha_index":1895,"clock_position":1895,"value":55}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-56","alpha_indices":[56,424,792,1160,1528,1896],"clock_positions":[56,424,792,1160,1528,1896],"native_values":[717,17,350,17,717,384],"rotation_degrees":9.130434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":56,"clock_position":56,"value":717},{"alpha_index":424,"clock_position":424,"value":17},{"alpha_index":792,"clock_position":792,"value":350},{"alpha_index":1160,"clock_position":1160,"value":17},{"alpha_index":1528,"clock_position":1528,"value":717},{"alpha_index":1896,"clock_position":1896,"value":384}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-57","alpha_indices":[57,425,793,1161,1529,1897],"clock_positions":[57,425,793,1161,1529,1897],"native_values":[662,439,295,72,295,439],"rotation_degrees":9.293478260869565,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":57,"clock_position":57,"value":662},{"alpha_index":425,"clock_position":425,"value":439},{"alpha_index":793,"clock_position":793,"value":295},{"alpha_index":1161,"clock_position":1161,"value":72},{"alpha_index":1529,"clock_position":1529,"value":295},{"alpha_index":1897,"clock_position":1897,"value":439}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-58","alpha_indices":[58,426,794,1162,1530,1898],"clock_positions":[58,426,794,1162,1530,1898],"native_values":[645,456,645,89,278,89],"rotation_degrees":9.456521739130435,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":58,"clock_position":58,"value":645},{"alpha_index":426,"clock_position":426,"value":456},{"alpha_index":794,"clock_position":794,"value":645},{"alpha_index":1162,"clock_position":1162,"value":89},{"alpha_index":1530,"clock_position":1530,"value":278},{"alpha_index":1898,"clock_position":1898,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-59","alpha_indices":[59,427,795,1163,1531,1899],"clock_positions":[59,427,795,1163,1531,1899],"native_values":[573,161,206,161,573,528],"rotation_degrees":9.619565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":59,"clock_position":59,"value":573},{"alpha_index":427,"clock_position":427,"value":161},{"alpha_index":795,"clock_position":795,"value":206},{"alpha_index":1163,"clock_position":1163,"value":161},{"alpha_index":1531,"clock_position":1531,"value":573},{"alpha_index":1899,"clock_position":1899,"value":528}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-60","alpha_indices":[60,428,796,1164,1532,1900],"clock_positions":[60,428,796,1164,1532,1900],"native_values":[484,617,117,250,117,617],"rotation_degrees":9.782608695652174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":60,"clock_position":60,"value":484},{"alpha_index":428,"clock_position":428,"value":617},{"alpha_index":796,"clock_position":796,"value":117},{"alpha_index":1164,"clock_position":1164,"value":250},{"alpha_index":1532,"clock_position":1532,"value":117},{"alpha_index":1900,"clock_position":1900,"value":617}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-61","alpha_indices":[61,429,797,1165,1533,1901],"clock_positions":[61,429,797,1165,1533,1901],"native_values":[323,44,323,411,690,411],"rotation_degrees":9.945652173913043,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":61,"clock_position":61,"value":323},{"alpha_index":429,"clock_position":429,"value":44},{"alpha_index":797,"clock_position":797,"value":323},{"alpha_index":1165,"clock_position":1165,"value":411},{"alpha_index":1533,"clock_position":1533,"value":690},{"alpha_index":1901,"clock_position":1901,"value":411}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-62","alpha_indices":[62,430,798,1166,1534,1902],"clock_positions":[62,430,798,1166,1534,1902],"native_values":[73,661,440,661,73,294],"rotation_degrees":10.108695652173912,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":62,"clock_position":62,"value":73},{"alpha_index":430,"clock_position":430,"value":661},{"alpha_index":798,"clock_position":798,"value":440},{"alpha_index":1166,"clock_position":1166,"value":661},{"alpha_index":1534,"clock_position":1534,"value":73},{"alpha_index":1902,"clock_position":1902,"value":294}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-63","alpha_indices":[63,431,799,1167,1535,1903],"clock_positions":[63,431,799,1167,1535,1903],"native_values":[396,705,29,338,29,705],"rotation_degrees":10.271739130434783,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":63,"clock_position":63,"value":396},{"alpha_index":431,"clock_position":431,"value":705},{"alpha_index":799,"clock_position":799,"value":29},{"alpha_index":1167,"clock_position":1167,"value":338},{"alpha_index":1535,"clock_position":1535,"value":29},{"alpha_index":1903,"clock_position":1903,"value":705}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-64","alpha_indices":[64,432,800,1168,1536,1904],"clock_positions":[64,432,800,1168,1536,1904],"native_values":[469,632,469,265,102,265],"rotation_degrees":10.434782608695652,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":64,"clock_position":64,"value":469},{"alpha_index":432,"clock_position":432,"value":632},{"alpha_index":800,"clock_position":800,"value":469},{"alpha_index":1168,"clock_position":1168,"value":265},{"alpha_index":1536,"clock_position":1536,"value":102},{"alpha_index":1904,"clock_position":1904,"value":265}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-65","alpha_indices":[65,433,801,1169,1537,1905],"clock_positions":[65,433,801,1169,1537,1905],"native_values":[131,603,498,603,131,236],"rotation_degrees":10.597826086956522,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":65,"clock_position":65,"value":131},{"alpha_index":433,"clock_position":433,"value":603},{"alpha_index":801,"clock_position":801,"value":498},{"alpha_index":1169,"clock_position":1169,"value":603},{"alpha_index":1537,"clock_position":1537,"value":131},{"alpha_index":1905,"clock_position":1905,"value":236}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-66","alpha_indices":[66,434,802,1170,1538,1906],"clock_positions":[66,434,802,1170,1538,1906],"native_values":[600,501,233,134,233,501],"rotation_degrees":10.76086956521739,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":66,"clock_position":66,"value":600},{"alpha_index":434,"clock_position":434,"value":501},{"alpha_index":802,"clock_position":802,"value":233},{"alpha_index":1170,"clock_position":1170,"value":134},{"alpha_index":1538,"clock_position":1538,"value":233},{"alpha_index":1906,"clock_position":1906,"value":501}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-67","alpha_indices":[67,435,803,1171,1539,1907],"clock_positions":[67,435,803,1171,1539,1907],"native_values":[731,370,731,3,364,3],"rotation_degrees":10.923913043478262,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":67,"clock_position":67,"value":731},{"alpha_index":435,"clock_position":435,"value":370},{"alpha_index":803,"clock_position":803,"value":731},{"alpha_index":1539,"clock_position":1539,"value":364}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-68","alpha_indices":[68,436,804,1172,1540,1908],"clock_positions":[68,436,804,1172,1540,1908],"native_values":[597,137,230,137,597,504],"rotation_degrees":11.08695652173913,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":68,"clock_position":68,"value":597},{"alpha_index":436,"clock_position":436,"value":137},{"alpha_index":804,"clock_position":804,"value":230},{"alpha_index":1172,"clock_position":1172,"value":137},{"alpha_index":1540,"clock_position":1540,"value":597},{"alpha_index":1908,"clock_position":1908,"value":504}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-69","alpha_indices":[69,437,805,1173,1541,1909],"clock_positions":[69,437,805,1173,1541,1909],"native_values":[594,507,227,140,227,507],"rotation_degrees":11.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":69,"clock_position":69,"value":594},{"alpha_index":437,"clock_position":437,"value":507},{"alpha_index":805,"clock_position":805,"value":227},{"alpha_index":1173,"clock_position":1173,"value":140},{"alpha_index":1541,"clock_position":1541,"value":227},{"alpha_index":1909,"clock_position":1909,"value":507}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-70","alpha_indices":[70,438,806,1174,1542,1910],"clock_positions":[70,438,806,1174,1542,1910],"native_values":[457,644,457,277,90,277],"rotation_degrees":11.41304347826087,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":70,"clock_position":70,"value":457},{"alpha_index":438,"clock_position":438,"value":644},{"alpha_index":806,"clock_position":806,"value":457},{"alpha_index":1174,"clock_position":1174,"value":277},{"alpha_index":1542,"clock_position":1542,"value":90},{"alpha_index":1910,"clock_position":1910,"value":277}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-71","alpha_indices":[71,439,807,1175,1543,1911],"clock_positions":[71,439,807,1175,1543,1911],"native_values":[317,417,684,417,317,50],"rotation_degrees":11.576086956521738,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":71,"clock_position":71,"value":317},{"alpha_index":439,"clock_position":439,"value":417},{"alpha_index":807,"clock_position":807,"value":684},{"alpha_index":1175,"clock_position":1175,"value":417},{"alpha_index":1543,"clock_position":1543,"value":317},{"alpha_index":1911,"clock_position":1911,"value":50}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-72","alpha_indices":[72,440,808,1176,1544,1912],"clock_positions":[72,440,808,1176,1544,1912],"native_values":[40,327,407,694,407,327],"rotation_degrees":11.73913043478261,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":72,"clock_position":72,"value":40},{"alpha_index":440,"clock_position":440,"value":327},{"alpha_index":808,"clock_position":808,"value":407},{"alpha_index":1176,"clock_position":1176,"value":694},{"alpha_index":1544,"clock_position":1544,"value":407},{"alpha_index":1912,"clock_position":1912,"value":327}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-73","alpha_indices":[73,441,809,1177,1545,1913],"clock_positions":[73,441,809,1177,1545,1913],"native_values":[357,10,357,377,724,377],"rotation_degrees":11.902173913043478,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":73,"clock_position":73,"value":357},{"alpha_index":441,"clock_position":441,"value":10},{"alpha_index":809,"clock_position":809,"value":357},{"alpha_index":1177,"clock_position":1177,"value":377},{"alpha_index":1545,"clock_position":1545,"value":724},{"alpha_index":1913,"clock_position":1913,"value":377}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-74","alpha_indices":[74,442,810,1178,1546,1914],"clock_positions":[74,442,810,1178,1546,1914],"native_values":[397,337,30,337,397,704],"rotation_degrees":12.065217391304348,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":74,"clock_position":74,"value":397},{"alpha_index":442,"clock_position":442,"value":337},{"alpha_index":810,"clock_position":810,"value":30},{"alpha_index":1178,"clock_position":1178,"value":337},{"alpha_index":1546,"clock_position":1546,"value":397},{"alpha_index":1914,"clock_position":1914,"value":704}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-75","alpha_indices":[75,443,811,1179,1547,1915],"clock_positions":[75,443,811,1179,1547,1915],"native_values":[20,347,387,714,387,347],"rotation_degrees":12.228260869565217,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":75,"clock_position":75,"value":20},{"alpha_index":443,"clock_position":443,"value":347},{"alpha_index":811,"clock_position":811,"value":387},{"alpha_index":1179,"clock_position":1179,"value":714},{"alpha_index":1547,"clock_position":1547,"value":387},{"alpha_index":1915,"clock_position":1915,"value":347}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-76","alpha_indices":[76,444,812,1180,1548,1916],"clock_positions":[76,444,812,1180,1548,1916],"native_values":[417,684,417,317,50,317],"rotation_degrees":12.391304347826088,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":76,"clock_position":76,"value":417},{"alpha_index":444,"clock_position":444,"value":684},{"alpha_index":812,"clock_position":812,"value":417},{"alpha_index":1180,"clock_position":1180,"value":317},{"alpha_index":1548,"clock_position":1548,"value":50},{"alpha_index":1916,"clock_position":1916,"value":317}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-77","alpha_indices":[77,445,813,1181,1549,1917],"clock_positions":[77,445,813,1181,1549,1917],"native_values":[437,297,70,297,437,664],"rotation_degrees":12.554347826086957,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":77,"clock_position":77,"value":437},{"alpha_index":445,"clock_position":445,"value":297},{"alpha_index":813,"clock_position":813,"value":70},{"alpha_index":1181,"clock_position":1181,"value":297},{"alpha_index":1549,"clock_position":1549,"value":437},{"alpha_index":1917,"clock_position":1917,"value":664}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-78","alpha_indices":[78,446,814,1182,1550,1918],"clock_positions":[78,446,814,1182,1550,1918],"native_values":[120,247,487,614,487,247],"rotation_degrees":12.717391304347826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":78,"clock_position":78,"value":120},{"alpha_index":446,"clock_position":446,"value":247},{"alpha_index":814,"clock_position":814,"value":487},{"alpha_index":1182,"clock_position":1182,"value":614},{"alpha_index":1550,"clock_position":1550,"value":487},{"alpha_index":1918,"clock_position":1918,"value":247}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-79","alpha_indices":[79,447,815,1183,1551,1919],"clock_positions":[79,447,815,1183,1551,1919],"native_values":[557,544,557,177,190,177],"rotation_degrees":12.880434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":79,"clock_position":79,"value":557},{"alpha_index":447,"clock_position":447,"value":544},{"alpha_index":815,"clock_position":815,"value":557},{"alpha_index":1183,"clock_position":1183,"value":177},{"alpha_index":1551,"clock_position":1551,"value":190},{"alpha_index":1919,"clock_position":1919,"value":177}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-80","alpha_indices":[80,448,816,1184,1552,1920],"clock_positions":[80,448,816,1184,1552,1920],"native_values":[677,57,310,57,677,424],"rotation_degrees":13.043478260869565,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":80,"clock_position":80,"value":677},{"alpha_index":448,"clock_position":448,"value":57},{"alpha_index":816,"clock_position":816,"value":310},{"alpha_index":1184,"clock_position":1184,"value":57},{"alpha_index":1552,"clock_position":1552,"value":677},{"alpha_index":1920,"clock_position":1920,"value":424}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-81","alpha_indices":[81,449,817,1185,1553,1921],"clock_positions":[81,449,817,1185,1553,1921],"native_values":[500,601,133,234,133,601],"rotation_degrees":13.206521739130435,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":81,"clock_position":81,"value":500},{"alpha_index":449,"clock_position":449,"value":601},{"alpha_index":817,"clock_position":817,"value":133},{"alpha_index":1185,"clock_position":1185,"value":234},{"alpha_index":1553,"clock_position":1553,"value":133},{"alpha_index":1921,"clock_position":1921,"value":601}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-82","alpha_indices":[82,450,818,1186,1554,1922],"clock_positions":[82,450,818,1186,1554,1922],"native_values":[443,658,443,291,76,291],"rotation_degrees":13.369565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":82,"clock_position":82,"value":443},{"alpha_index":450,"clock_position":450,"value":658},{"alpha_index":818,"clock_position":818,"value":443},{"alpha_index":1186,"clock_position":1186,"value":291},{"alpha_index":1554,"clock_position":1554,"value":76},{"alpha_index":1922,"clock_position":1922,"value":291}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-83","alpha_indices":[83,451,819,1187,1555,1923],"clock_positions":[83,451,819,1187,1555,1923],"native_values":[209,525,576,525,209,158],"rotation_degrees":13.532608695652174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":83,"clock_position":83,"value":209},{"alpha_index":451,"clock_position":451,"value":525},{"alpha_index":819,"clock_position":819,"value":576},{"alpha_index":1187,"clock_position":1187,"value":525},{"alpha_index":1555,"clock_position":1555,"value":209},{"alpha_index":1923,"clock_position":1923,"value":158}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-84","alpha_indices":[84,452,820,1188,1556,1924],"clock_positions":[84,452,820,1188,1556,1924],"native_values":[652,449,285,82,285,449],"rotation_degrees":13.695652173913043,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":84,"clock_position":84,"value":652},{"alpha_index":452,"clock_position":452,"value":449},{"alpha_index":820,"clock_position":820,"value":285},{"alpha_index":1188,"clock_position":1188,"value":82},{"alpha_index":1556,"clock_position":1556,"value":285},{"alpha_index":1924,"clock_position":1924,"value":449}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-85","alpha_indices":[85,453,821,1189,1557,1925],"clock_positions":[85,453,821,1189,1557,1925],"native_values":[127,240,127,607,494,607],"rotation_degrees":13.858695652173912,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":85,"clock_position":85,"value":127},{"alpha_index":453,"clock_position":453,"value":240},{"alpha_index":821,"clock_position":821,"value":127},{"alpha_index":1189,"clock_position":1189,"value":607},{"alpha_index":1557,"clock_position":1557,"value":494},{"alpha_index":1925,"clock_position":1925,"value":607}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-86","alpha_indices":[86,454,822,1190,1558,1926],"clock_positions":[86,454,822,1190,1558,1926],"native_values":[45,689,412,689,45,322],"rotation_degrees":14.021739130434783,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":86,"clock_position":86,"value":45},{"alpha_index":454,"clock_position":454,"value":689},{"alpha_index":822,"clock_position":822,"value":412},{"alpha_index":1190,"clock_position":1190,"value":689},{"alpha_index":1558,"clock_position":1558,"value":45},{"alpha_index":1926,"clock_position":1926,"value":322}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-87","alpha_indices":[87,455,823,1191,1559,1927],"clock_positions":[87,455,823,1191,1559,1927],"native_values":[172,195,539,562,539,195],"rotation_degrees":14.184782608695652,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":87,"clock_position":87,"value":172},{"alpha_index":455,"clock_position":455,"value":195},{"alpha_index":823,"clock_position":823,"value":539},{"alpha_index":1191,"clock_position":1191,"value":562},{"alpha_index":1559,"clock_position":1559,"value":539},{"alpha_index":1927,"clock_position":1927,"value":195}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-88","alpha_indices":[88,456,824,1192,1560,1928],"clock_positions":[88,456,824,1192,1560,1928],"native_values":[217,150,217,517,584,517],"rotation_degrees":14.347826086956522,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":88,"clock_position":88,"value":217},{"alpha_index":456,"clock_position":456,"value":150},{"alpha_index":824,"clock_position":824,"value":217},{"alpha_index":1192,"clock_position":1192,"value":517},{"alpha_index":1560,"clock_position":1560,"value":584},{"alpha_index":1928,"clock_position":1928,"value":517}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-89","alpha_indices":[89,457,825,1193,1561,1929],"clock_positions":[89,457,825,1193,1561,1929],"native_values":[389,345,22,345,389,712],"rotation_degrees":14.51086956521739,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":89,"clock_position":89,"value":389},{"alpha_index":457,"clock_position":457,"value":345},{"alpha_index":825,"clock_position":825,"value":22},{"alpha_index":1193,"clock_position":1193,"value":345},{"alpha_index":1561,"clock_position":1561,"value":389},{"alpha_index":1929,"clock_position":1929,"value":712}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-90","alpha_indices":[90,458,826,1194,1562,1930],"clock_positions":[90,458,826,1194,1562,1930],"native_values":[606,495,239,128,239,495],"rotation_degrees":14.673913043478262,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":90,"clock_position":90,"value":606},{"alpha_index":458,"clock_position":458,"value":495},{"alpha_index":826,"clock_position":826,"value":239},{"alpha_index":1194,"clock_position":1194,"value":128},{"alpha_index":1562,"clock_position":1562,"value":239},{"alpha_index":1930,"clock_position":1930,"value":495}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-91","alpha_indices":[91,459,827,1195,1563,1931],"clock_positions":[91,459,827,1195,1563,1931],"native_values":[261,106,261,473,628,473],"rotation_degrees":14.83695652173913,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":91,"clock_position":91,"value":261},{"alpha_index":459,"clock_position":459,"value":106},{"alpha_index":827,"clock_position":827,"value":261},{"alpha_index":1195,"clock_position":1195,"value":473},{"alpha_index":1563,"clock_position":1563,"value":628},{"alpha_index":1931,"clock_position":1931,"value":473}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-92","alpha_indices":[92,460,828,1196,1564,1932],"clock_positions":[92,460,828,1196,1564,1932],"native_values":[133,601,500,601,133,234],"rotation_degrees":15.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":92,"clock_position":92,"value":133},{"alpha_index":460,"clock_position":460,"value":601},{"alpha_index":828,"clock_position":828,"value":500},{"alpha_index":1196,"clock_position":1196,"value":601},{"alpha_index":1564,"clock_position":1564,"value":133},{"alpha_index":1932,"clock_position":1932,"value":234}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-93","alpha_indices":[93,461,829,1197,1565,1933],"clock_positions":[93,461,829,1197,1565,1933],"native_values":[394,707,27,340,27,707],"rotation_degrees":15.16304347826087,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":93,"clock_position":93,"value":394},{"alpha_index":461,"clock_position":461,"value":707},{"alpha_index":829,"clock_position":829,"value":27},{"alpha_index":1197,"clock_position":1197,"value":340},{"alpha_index":1565,"clock_position":1565,"value":27},{"alpha_index":1933,"clock_position":1933,"value":707}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-94","alpha_indices":[94,462,830,1198,1566,1934],"clock_positions":[94,462,830,1198,1566,1934],"native_values":[527,574,527,207,160,207],"rotation_degrees":15.326086956521738,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":94,"clock_position":94,"value":527},{"alpha_index":462,"clock_position":462,"value":574},{"alpha_index":830,"clock_position":830,"value":527},{"alpha_index":1198,"clock_position":1198,"value":207},{"alpha_index":1566,"clock_position":1566,"value":160},{"alpha_index":1934,"clock_position":1934,"value":207}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-95","alpha_indices":[95,463,831,1199,1567,1935],"clock_positions":[95,463,831,1199,1567,1935],"native_values":[187,547,554,547,187,180],"rotation_degrees":15.48913043478261,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":95,"clock_position":95,"value":187},{"alpha_index":463,"clock_position":463,"value":547},{"alpha_index":831,"clock_position":831,"value":554},{"alpha_index":1199,"clock_position":1199,"value":547},{"alpha_index":1567,"clock_position":1567,"value":187},{"alpha_index":1935,"clock_position":1935,"value":180}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-96","alpha_indices":[96,464,832,1200,1568,1936],"clock_positions":[96,464,832,1200,1568,1936],"native_values":[714,387,347,20,347,387],"rotation_degrees":15.652173913043478,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":96,"clock_position":96,"value":714},{"alpha_index":464,"clock_position":464,"value":387},{"alpha_index":832,"clock_position":832,"value":347},{"alpha_index":1200,"clock_position":1200,"value":20},{"alpha_index":1568,"clock_position":1568,"value":347},{"alpha_index":1936,"clock_position":1936,"value":387}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-97","alpha_indices":[97,465,833,1201,1569,1937],"clock_positions":[97,465,833,1201,1569,1937],"native_values":[167,200,167,567,534,567],"rotation_degrees":15.815217391304348,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":97,"clock_position":97,"value":167},{"alpha_index":465,"clock_position":465,"value":200},{"alpha_index":833,"clock_position":833,"value":167},{"alpha_index":1201,"clock_position":1201,"value":567},{"alpha_index":1569,"clock_position":1569,"value":534},{"alpha_index":1937,"clock_position":1937,"value":567}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-98","alpha_indices":[98,466,834,1202,1570,1938],"clock_positions":[98,466,834,1202,1570,1938],"native_values":[147,587,514,587,147,220],"rotation_degrees":15.978260869565217,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":98,"clock_position":98,"value":147},{"alpha_index":466,"clock_position":466,"value":587},{"alpha_index":834,"clock_position":834,"value":514},{"alpha_index":1202,"clock_position":1202,"value":587},{"alpha_index":1570,"clock_position":1570,"value":147},{"alpha_index":1938,"clock_position":1938,"value":220}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-99","alpha_indices":[99,467,835,1203,1571,1939],"clock_positions":[99,467,835,1203,1571,1939],"native_values":[314,53,681,420,681,53],"rotation_degrees":16.141304347826086,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":99,"clock_position":99,"value":314},{"alpha_index":467,"clock_position":467,"value":53},{"alpha_index":835,"clock_position":835,"value":681},{"alpha_index":1203,"clock_position":1203,"value":420},{"alpha_index":1571,"clock_position":1571,"value":681},{"alpha_index":1939,"clock_position":1939,"value":53}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-100","alpha_indices":[100,468,836,1204,1572,1940],"clock_positions":[100,468,836,1204,1572,1940],"native_values":[461,640,461,273,94,273],"rotation_degrees":16.304347826086957,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":100,"clock_position":100,"value":461},{"alpha_index":468,"clock_position":468,"value":640},{"alpha_index":836,"clock_position":836,"value":461},{"alpha_index":1204,"clock_position":1204,"value":273},{"alpha_index":1572,"clock_position":1572,"value":94},{"alpha_index":1940,"clock_position":1940,"value":273}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-101","alpha_indices":[101,469,837,1205,1573,1941],"clock_positions":[101,469,837,1205,1573,1941],"native_values":[41,693,408,693,41,326],"rotation_degrees":16.467391304347824,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":101,"clock_position":101,"value":41},{"alpha_index":469,"clock_position":469,"value":693},{"alpha_index":837,"clock_position":837,"value":408},{"alpha_index":1205,"clock_position":1205,"value":693},{"alpha_index":1573,"clock_position":1573,"value":41},{"alpha_index":1941,"clock_position":1941,"value":326}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-102","alpha_indices":[102,470,838,1206,1574,1942],"clock_positions":[102,470,838,1206,1574,1942],"native_values":[502,599,135,232,135,599],"rotation_degrees":16.630434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":102,"clock_position":102,"value":502},{"alpha_index":470,"clock_position":470,"value":599},{"alpha_index":838,"clock_position":838,"value":135},{"alpha_index":1206,"clock_position":1206,"value":232},{"alpha_index":1574,"clock_position":1574,"value":135},{"alpha_index":1942,"clock_position":1942,"value":599}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-103","alpha_indices":[103,471,839,1207,1575,1943],"clock_positions":[103,471,839,1207,1575,1943],"native_values":[543,558,543,191,176,191],"rotation_degrees":16.793478260869566,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":103,"clock_position":103,"value":543},{"alpha_index":471,"clock_position":471,"value":558},{"alpha_index":839,"clock_position":839,"value":543},{"alpha_index":1207,"clock_position":1207,"value":191},{"alpha_index":1575,"clock_position":1575,"value":176},{"alpha_index":1943,"clock_position":1943,"value":191}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-104","alpha_indices":[104,472,840,1208,1576,1944],"clock_positions":[104,472,840,1208,1576,1944],"native_values":[311,423,678,423,311,56],"rotation_degrees":16.956521739130434,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":104,"clock_position":104,"value":311},{"alpha_index":472,"clock_position":472,"value":423},{"alpha_index":840,"clock_position":840,"value":678},{"alpha_index":1208,"clock_position":1208,"value":423},{"alpha_index":1576,"clock_position":1576,"value":311},{"alpha_index":1944,"clock_position":1944,"value":56}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-105","alpha_indices":[105,473,841,1209,1577,1945],"clock_positions":[105,473,841,1209,1577,1945],"native_values":[120,247,487,614,487,247],"rotation_degrees":17.119565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":105,"clock_position":105,"value":120},{"alpha_index":473,"clock_position":473,"value":247},{"alpha_index":841,"clock_position":841,"value":487},{"alpha_index":1209,"clock_position":1209,"value":614},{"alpha_index":1577,"clock_position":1577,"value":487},{"alpha_index":1945,"clock_position":1945,"value":247}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-106","alpha_indices":[106,474,842,1210,1578,1946],"clock_positions":[106,474,842,1210,1578,1946],"native_values":[431,670,431,303,64,303],"rotation_degrees":17.282608695652176,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":106,"clock_position":106,"value":431},{"alpha_index":474,"clock_position":474,"value":670},{"alpha_index":842,"clock_position":842,"value":431},{"alpha_index":1210,"clock_position":1210,"value":303},{"alpha_index":1578,"clock_position":1578,"value":64},{"alpha_index":1946,"clock_position":1946,"value":303}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-107","alpha_indices":[107,475,843,1211,1579,1947],"clock_positions":[107,475,843,1211,1579,1947],"native_values":[551,183,184,183,551,550],"rotation_degrees":17.445652173913043,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":107,"clock_position":107,"value":551},{"alpha_index":475,"clock_position":475,"value":183},{"alpha_index":843,"clock_position":843,"value":184},{"alpha_index":1211,"clock_position":1211,"value":183},{"alpha_index":1579,"clock_position":1579,"value":551},{"alpha_index":1947,"clock_position":1947,"value":550}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-108","alpha_indices":[108,476,844,1212,1580,1948],"clock_positions":[108,476,844,1212,1580,1948],"native_values":[248,119,615,486,615,119],"rotation_degrees":17.608695652173914,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":108,"clock_position":108,"value":248},{"alpha_index":476,"clock_position":476,"value":119},{"alpha_index":844,"clock_position":844,"value":615},{"alpha_index":1212,"clock_position":1212,"value":486},{"alpha_index":1580,"clock_position":1580,"value":615},{"alpha_index":1948,"clock_position":1948,"value":119}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-109","alpha_indices":[109,477,845,1213,1581,1949],"clock_positions":[109,477,845,1213,1581,1949],"native_values":[65,302,65,669,432,669],"rotation_degrees":17.77173913043478,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":109,"clock_position":109,"value":65},{"alpha_index":477,"clock_position":477,"value":302},{"alpha_index":845,"clock_position":845,"value":65},{"alpha_index":1213,"clock_position":1213,"value":669},{"alpha_index":1581,"clock_position":1581,"value":432},{"alpha_index":1949,"clock_position":1949,"value":669}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-110","alpha_indices":[110,478,846,1214,1582,1950],"clock_positions":[110,478,846,1214,1582,1950],"native_values":[313,421,680,421,313,54],"rotation_degrees":17.934782608695652,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":110,"clock_position":110,"value":313},{"alpha_index":478,"clock_position":478,"value":421},{"alpha_index":846,"clock_position":846,"value":680},{"alpha_index":1214,"clock_position":1214,"value":421},{"alpha_index":1582,"clock_position":1582,"value":313},{"alpha_index":1950,"clock_position":1950,"value":54}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-111","alpha_indices":[111,479,847,1215,1583,1951],"clock_positions":[111,479,847,1215,1583,1951],"native_values":[378,723,11,356,11,723],"rotation_degrees":18.097826086956523,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":111,"clock_position":111,"value":378},{"alpha_index":479,"clock_position":479,"value":723},{"alpha_index":847,"clock_position":847,"value":11},{"alpha_index":1215,"clock_position":1215,"value":356},{"alpha_index":1583,"clock_position":1583,"value":11},{"alpha_index":1951,"clock_position":1951,"value":723}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-112","alpha_indices":[112,480,848,1216,1584,1952],"clock_positions":[112,480,848,1216,1584,1952],"native_values":[691,410,691,43,324,43],"rotation_degrees":18.26086956521739,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":112,"clock_position":112,"value":691},{"alpha_index":480,"clock_position":480,"value":410},{"alpha_index":848,"clock_position":848,"value":691},{"alpha_index":1216,"clock_position":1216,"value":43},{"alpha_index":1584,"clock_position":1584,"value":324},{"alpha_index":1952,"clock_position":1952,"value":43}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-113","alpha_indices":[113,481,849,1217,1585,1953],"clock_positions":[113,481,849,1217,1585,1953],"native_values":[335,399,702,399,335,32],"rotation_degrees":18.42391304347826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":113,"clock_position":113,"value":335},{"alpha_index":481,"clock_position":481,"value":399},{"alpha_index":849,"clock_position":849,"value":702},{"alpha_index":1217,"clock_position":1217,"value":399},{"alpha_index":1585,"clock_position":1585,"value":335},{"alpha_index":1953,"clock_position":1953,"value":32}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-114","alpha_indices":[114,482,850,1218,1586,1954],"clock_positions":[114,482,850,1218,1586,1954],"native_values":[292,75,659,442,659,75],"rotation_degrees":18.58695652173913,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":114,"clock_position":114,"value":292},{"alpha_index":482,"clock_position":482,"value":75},{"alpha_index":850,"clock_position":850,"value":659},{"alpha_index":1218,"clock_position":1218,"value":442},{"alpha_index":1586,"clock_position":1586,"value":659},{"alpha_index":1954,"clock_position":1954,"value":75}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-115","alpha_indices":[115,483,851,1219,1587,1955],"clock_positions":[115,483,851,1219,1587,1955],"native_values":[627,474,627,107,260,107],"rotation_degrees":18.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":115,"clock_position":115,"value":627},{"alpha_index":483,"clock_position":483,"value":474},{"alpha_index":851,"clock_position":851,"value":627},{"alpha_index":1219,"clock_position":1219,"value":107},{"alpha_index":1587,"clock_position":1587,"value":260},{"alpha_index":1955,"clock_position":1955,"value":107}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-116","alpha_indices":[116,484,852,1220,1588,1956],"clock_positions":[116,484,852,1220,1588,1956],"native_values":[185,549,552,549,185,182],"rotation_degrees":18.91304347826087,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":116,"clock_position":116,"value":185},{"alpha_index":484,"clock_position":484,"value":549},{"alpha_index":852,"clock_position":852,"value":552},{"alpha_index":1220,"clock_position":1220,"value":549},{"alpha_index":1588,"clock_position":1588,"value":185},{"alpha_index":1956,"clock_position":1956,"value":182}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-117","alpha_indices":[117,485,853,1221,1589,1957],"clock_positions":[117,485,853,1221,1589,1957],"native_values":[78,289,445,656,445,289],"rotation_degrees":19.07608695652174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":117,"clock_position":117,"value":78},{"alpha_index":485,"clock_position":485,"value":289},{"alpha_index":853,"clock_position":853,"value":445},{"alpha_index":1221,"clock_position":1221,"value":656},{"alpha_index":1589,"clock_position":1589,"value":445},{"alpha_index":1957,"clock_position":1957,"value":289}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-118","alpha_indices":[118,486,854,1222,1590,1958],"clock_positions":[118,486,854,1222,1590,1958],"native_values":[263,104,263,471,630,471],"rotation_degrees":19.23913043478261,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":118,"clock_position":118,"value":263},{"alpha_index":486,"clock_position":486,"value":104},{"alpha_index":854,"clock_position":854,"value":263},{"alpha_index":1222,"clock_position":1222,"value":471},{"alpha_index":1590,"clock_position":1590,"value":630},{"alpha_index":1958,"clock_position":1958,"value":471}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-119","alpha_indices":[119,487,855,1223,1591,1959],"clock_positions":[119,487,855,1223,1591,1959],"native_values":[341,393,708,393,341,26],"rotation_degrees":19.402173913043477,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":119,"clock_position":119,"value":341},{"alpha_index":487,"clock_position":487,"value":393},{"alpha_index":855,"clock_position":855,"value":708},{"alpha_index":1223,"clock_position":1223,"value":393},{"alpha_index":1591,"clock_position":1591,"value":341},{"alpha_index":1959,"clock_position":1959,"value":26}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-120","alpha_indices":[120,488,856,1224,1592,1960],"clock_positions":[120,488,856,1224,1592,1960],"native_values":[604,497,237,130,237,497],"rotation_degrees":19.565217391304348,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":120,"clock_position":120,"value":604},{"alpha_index":488,"clock_position":488,"value":497},{"alpha_index":856,"clock_position":856,"value":237},{"alpha_index":1224,"clock_position":1224,"value":130},{"alpha_index":1592,"clock_position":1592,"value":237},{"alpha_index":1960,"clock_position":1960,"value":497}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-121","alpha_indices":[121,489,857,1225,1593,1961],"clock_positions":[121,489,857,1225,1593,1961],"native_values":[211,156,211,523,578,523],"rotation_degrees":19.72826086956522,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":121,"clock_position":121,"value":211},{"alpha_index":489,"clock_position":489,"value":156},{"alpha_index":857,"clock_position":857,"value":211},{"alpha_index":1225,"clock_position":1225,"value":523},{"alpha_index":1593,"clock_position":1593,"value":578},{"alpha_index":1961,"clock_position":1961,"value":523}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-122","alpha_indices":[122,490,858,1226,1594,1962],"clock_positions":[122,490,858,1226,1594,1962],"native_values":[81,653,448,653,81,286],"rotation_degrees":19.891304347826086,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":122,"clock_position":122,"value":81},{"alpha_index":490,"clock_position":490,"value":653},{"alpha_index":858,"clock_position":858,"value":448},{"alpha_index":1226,"clock_position":1226,"value":653},{"alpha_index":1594,"clock_position":1594,"value":81},{"alpha_index":1962,"clock_position":1962,"value":286}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-123","alpha_indices":[123,491,859,1227,1595,1963],"clock_positions":[123,491,859,1227,1595,1963],"native_values":[292,75,659,442,659,75],"rotation_degrees":20.054347826086957,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":123,"clock_position":123,"value":292},{"alpha_index":491,"clock_position":491,"value":75},{"alpha_index":859,"clock_position":859,"value":659},{"alpha_index":1227,"clock_position":1227,"value":442},{"alpha_index":1595,"clock_position":1595,"value":659},{"alpha_index":1963,"clock_position":1963,"value":75}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-124","alpha_indices":[124,492,860,1228,1596,1964],"clock_positions":[124,492,860,1228,1596,1964],"native_values":[373,728,373,361,6,361],"rotation_degrees":20.217391304347824,"missing_required_values":[3,9],"failing_nodes":[{"alpha_index":124,"clock_position":124,"value":373},{"alpha_index":492,"clock_position":492,"value":728},{"alpha_index":860,"clock_position":860,"value":373},{"alpha_index":1228,"clock_position":1228,"value":361},{"alpha_index":1964,"clock_position":1964,"value":361}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-125","alpha_indices":[125,493,861,1229,1597,1965],"clock_positions":[125,493,861,1229,1597,1965],"native_values":[665,69,298,69,665,436],"rotation_degrees":20.380434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":125,"clock_position":125,"value":665},{"alpha_index":493,"clock_position":493,"value":69},{"alpha_index":861,"clock_position":861,"value":298},{"alpha_index":1229,"clock_position":1229,"value":69},{"alpha_index":1597,"clock_position":1597,"value":665},{"alpha_index":1965,"clock_position":1965,"value":436}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-126","alpha_indices":[126,494,862,1230,1598,1966],"clock_positions":[126,494,862,1230,1598,1966],"native_values":[304,63,671,430,671,63],"rotation_degrees":20.543478260869566,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":126,"clock_position":126,"value":304},{"alpha_index":494,"clock_position":494,"value":63},{"alpha_index":862,"clock_position":862,"value":671},{"alpha_index":1230,"clock_position":1230,"value":430},{"alpha_index":1598,"clock_position":1598,"value":671},{"alpha_index":1966,"clock_position":1966,"value":63}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-127","alpha_indices":[127,495,863,1231,1599,1967],"clock_positions":[127,495,863,1231,1599,1967],"native_values":[235,132,235,499,602,499],"rotation_degrees":20.706521739130434,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":127,"clock_position":127,"value":235},{"alpha_index":495,"clock_position":495,"value":132},{"alpha_index":863,"clock_position":863,"value":235},{"alpha_index":1231,"clock_position":1231,"value":499},{"alpha_index":1599,"clock_position":1599,"value":602},{"alpha_index":1967,"clock_position":1967,"value":499}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-128","alpha_indices":[128,496,864,1232,1600,1968],"clock_positions":[128,496,864,1232,1600,1968],"native_values":[539,195,172,195,539,562],"rotation_degrees":20.869565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":128,"clock_position":128,"value":539},{"alpha_index":496,"clock_position":496,"value":195},{"alpha_index":864,"clock_position":864,"value":172},{"alpha_index":1232,"clock_position":1232,"value":195},{"alpha_index":1600,"clock_position":1600,"value":539},{"alpha_index":1968,"clock_position":1968,"value":562}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-129","alpha_indices":[129,497,865,1233,1601,1969],"clock_positions":[129,497,865,1233,1601,1969],"native_values":[40,327,407,694,407,327],"rotation_degrees":21.032608695652176,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":129,"clock_position":129,"value":40},{"alpha_index":497,"clock_position":497,"value":327},{"alpha_index":865,"clock_position":865,"value":407},{"alpha_index":1233,"clock_position":1233,"value":694},{"alpha_index":1601,"clock_position":1601,"value":407},{"alpha_index":1969,"clock_position":1969,"value":327}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-130","alpha_indices":[130,498,866,1234,1602,1970],"clock_positions":[130,498,866,1234,1602,1970],"native_values":[579,522,579,155,212,155],"rotation_degrees":21.195652173913043,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":130,"clock_position":130,"value":579},{"alpha_index":498,"clock_position":498,"value":522},{"alpha_index":866,"clock_position":866,"value":579},{"alpha_index":1234,"clock_position":1234,"value":155},{"alpha_index":1602,"clock_position":1602,"value":212},{"alpha_index":1970,"clock_position":1970,"value":155}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-131","alpha_indices":[131,499,867,1235,1603,1971],"clock_positions":[131,499,867,1235,1603,1971],"native_values":[619,115,252,115,619,482],"rotation_degrees":21.358695652173914,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":131,"clock_position":131,"value":619},{"alpha_index":499,"clock_position":499,"value":115},{"alpha_index":867,"clock_position":867,"value":252},{"alpha_index":1235,"clock_position":1235,"value":115},{"alpha_index":1603,"clock_position":1603,"value":619},{"alpha_index":1971,"clock_position":1971,"value":482}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-132","alpha_indices":[132,500,868,1236,1604,1972],"clock_positions":[132,500,868,1236,1604,1972],"native_values":[464,637,97,270,97,637],"rotation_degrees":21.52173913043478,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":132,"clock_position":132,"value":464},{"alpha_index":500,"clock_position":500,"value":637},{"alpha_index":868,"clock_position":868,"value":97},{"alpha_index":1236,"clock_position":1236,"value":270},{"alpha_index":1604,"clock_position":1604,"value":97},{"alpha_index":1972,"clock_position":1972,"value":637}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-133","alpha_indices":[133,501,869,1237,1605,1973],"clock_positions":[133,501,869,1237,1605,1973],"native_values":[349,18,349,385,716,385],"rotation_degrees":21.684782608695652,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":133,"clock_position":133,"value":349},{"alpha_index":501,"clock_position":501,"value":18},{"alpha_index":869,"clock_position":869,"value":349},{"alpha_index":1237,"clock_position":1237,"value":385},{"alpha_index":1605,"clock_position":1605,"value":716},{"alpha_index":1973,"clock_position":1973,"value":385}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-134","alpha_indices":[134,502,870,1238,1606,1974],"clock_positions":[134,502,870,1238,1606,1974],"native_values":[79,655,446,655,79,288],"rotation_degrees":21.847826086956523,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":134,"clock_position":134,"value":79},{"alpha_index":502,"clock_position":502,"value":655},{"alpha_index":870,"clock_position":870,"value":446},{"alpha_index":1238,"clock_position":1238,"value":655},{"alpha_index":1606,"clock_position":1606,"value":79},{"alpha_index":1974,"clock_position":1974,"value":288}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-135","alpha_indices":[135,503,871,1239,1607,1975],"clock_positions":[135,503,871,1239,1607,1975],"native_values":[428,673,61,306,61,673],"rotation_degrees":22.01086956521739,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":135,"clock_position":135,"value":428},{"alpha_index":503,"clock_position":503,"value":673},{"alpha_index":871,"clock_position":871,"value":61},{"alpha_index":1239,"clock_position":1239,"value":306},{"alpha_index":1607,"clock_position":1607,"value":61},{"alpha_index":1975,"clock_position":1975,"value":673}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-136","alpha_indices":[136,504,872,1240,1608,1976],"clock_positions":[136,504,872,1240,1608,1976],"native_values":[507,594,507,227,140,227],"rotation_degrees":22.17391304347826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":136,"clock_position":136,"value":507},{"alpha_index":504,"clock_position":504,"value":594},{"alpha_index":872,"clock_position":872,"value":507},{"alpha_index":1240,"clock_position":1240,"value":227},{"alpha_index":1608,"clock_position":1608,"value":140},{"alpha_index":1976,"clock_position":1976,"value":227}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-137","alpha_indices":[137,505,873,1241,1609,1977],"clock_positions":[137,505,873,1241,1609,1977],"native_values":[201,533,568,533,201,166],"rotation_degrees":22.33695652173913,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":137,"clock_position":137,"value":201},{"alpha_index":505,"clock_position":505,"value":533},{"alpha_index":873,"clock_position":873,"value":568},{"alpha_index":1241,"clock_position":1241,"value":533},{"alpha_index":1609,"clock_position":1609,"value":201},{"alpha_index":1977,"clock_position":1977,"value":166}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-138","alpha_indices":[138,506,874,1242,1610,1978],"clock_positions":[138,506,874,1242,1610,1978],"native_values":[708,393,341,26,341,393],"rotation_degrees":22.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":138,"clock_position":138,"value":708},{"alpha_index":506,"clock_position":506,"value":393},{"alpha_index":874,"clock_position":874,"value":341},{"alpha_index":1242,"clock_position":1242,"value":26},{"alpha_index":1610,"clock_position":1610,"value":341},{"alpha_index":1978,"clock_position":1978,"value":393}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-139","alpha_indices":[139,507,875,1243,1611,1979],"clock_positions":[139,507,875,1243,1611,1979],"native_values":[175,192,175,559,542,559],"rotation_degrees":22.66304347826087,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":139,"clock_position":139,"value":175},{"alpha_index":507,"clock_position":507,"value":192},{"alpha_index":875,"clock_position":875,"value":175},{"alpha_index":1243,"clock_position":1243,"value":559},{"alpha_index":1611,"clock_position":1611,"value":542},{"alpha_index":1979,"clock_position":1979,"value":559}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-140","alpha_indices":[140,508,876,1244,1612,1980],"clock_positions":[140,508,876,1244,1612,1980],"native_values":[149,585,516,585,149,218],"rotation_degrees":22.82608695652174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":140,"clock_position":140,"value":149},{"alpha_index":508,"clock_position":508,"value":585},{"alpha_index":876,"clock_position":876,"value":516},{"alpha_index":1244,"clock_position":1244,"value":585},{"alpha_index":1612,"clock_position":1612,"value":149},{"alpha_index":1980,"clock_position":1980,"value":218}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-141","alpha_indices":[141,509,877,1245,1613,1981],"clock_positions":[141,509,877,1245,1613,1981],"native_values":[324,43,691,410,691,43],"rotation_degrees":22.98913043478261,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":141,"clock_position":141,"value":324},{"alpha_index":509,"clock_position":509,"value":43},{"alpha_index":877,"clock_position":877,"value":691},{"alpha_index":1245,"clock_position":1245,"value":410},{"alpha_index":1613,"clock_position":1613,"value":691},{"alpha_index":1981,"clock_position":1981,"value":43}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-142","alpha_indices":[142,510,878,1246,1614,1982],"clock_positions":[142,510,878,1246,1614,1982],"native_values":[473,628,473,261,106,261],"rotation_degrees":23.152173913043477,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":142,"clock_position":142,"value":473},{"alpha_index":510,"clock_position":510,"value":628},{"alpha_index":878,"clock_position":878,"value":473},{"alpha_index":1246,"clock_position":1246,"value":261},{"alpha_index":1614,"clock_position":1614,"value":106},{"alpha_index":1982,"clock_position":1982,"value":261}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-143","alpha_indices":[143,511,879,1247,1615,1983],"clock_positions":[143,511,879,1247,1615,1983],"native_values":[63,671,430,671,63,304],"rotation_degrees":23.315217391304348,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":143,"clock_position":143,"value":63},{"alpha_index":511,"clock_position":511,"value":671},{"alpha_index":879,"clock_position":879,"value":430},{"alpha_index":1247,"clock_position":1247,"value":671},{"alpha_index":1615,"clock_position":1615,"value":63},{"alpha_index":1983,"clock_position":1983,"value":304}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-144","alpha_indices":[144,512,880,1248,1616,1984],"clock_positions":[144,512,880,1248,1616,1984],"native_values":[536,565,169,198,169,565],"rotation_degrees":23.47826086956522,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":144,"clock_position":144,"value":536},{"alpha_index":512,"clock_position":512,"value":565},{"alpha_index":880,"clock_position":880,"value":169},{"alpha_index":1248,"clock_position":1248,"value":198},{"alpha_index":1616,"clock_position":1616,"value":169},{"alpha_index":1984,"clock_position":1984,"value":565}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-145","alpha_indices":[145,513,881,1249,1617,1985],"clock_positions":[145,513,881,1249,1617,1985],"native_values":[599,502,599,135,232,135],"rotation_degrees":23.641304347826086,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":145,"clock_position":145,"value":599},{"alpha_index":513,"clock_position":513,"value":502},{"alpha_index":881,"clock_position":881,"value":599},{"alpha_index":1249,"clock_position":1249,"value":135},{"alpha_index":1617,"clock_position":1617,"value":232},{"alpha_index":1985,"clock_position":1985,"value":135}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-146","alpha_indices":[146,514,882,1250,1618,1986],"clock_positions":[146,514,882,1250,1618,1986],"native_values":[401,333,34,333,401,700],"rotation_degrees":23.804347826086957,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":146,"clock_position":146,"value":401},{"alpha_index":514,"clock_position":514,"value":333},{"alpha_index":882,"clock_position":882,"value":34},{"alpha_index":1250,"clock_position":1250,"value":333},{"alpha_index":1618,"clock_position":1618,"value":401},{"alpha_index":1986,"clock_position":1986,"value":700}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-147","alpha_indices":[147,515,883,1251,1619,1987],"clock_positions":[147,515,883,1251,1619,1987],"native_values":[266,101,633,468,633,101],"rotation_degrees":23.967391304347824,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":147,"clock_position":147,"value":266},{"alpha_index":515,"clock_position":515,"value":101},{"alpha_index":883,"clock_position":883,"value":633},{"alpha_index":1251,"clock_position":1251,"value":468},{"alpha_index":1619,"clock_position":1619,"value":633},{"alpha_index":1987,"clock_position":1987,"value":101}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-148","alpha_indices":[148,516,884,1252,1620,1988],"clock_positions":[148,516,884,1252,1620,1988],"native_values":[667,434,667,67,300,67],"rotation_degrees":24.130434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":148,"clock_position":148,"value":667},{"alpha_index":516,"clock_position":516,"value":434},{"alpha_index":884,"clock_position":884,"value":667},{"alpha_index":1252,"clock_position":1252,"value":67},{"alpha_index":1620,"clock_position":1620,"value":300},{"alpha_index":1988,"clock_position":1988,"value":67}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-149","alpha_indices":[149,517,885,1253,1621,1989],"clock_positions":[149,517,885,1253,1621,1989],"native_values":[199,535,566,535,199,168],"rotation_degrees":24.293478260869566,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":149,"clock_position":149,"value":199},{"alpha_index":517,"clock_position":517,"value":535},{"alpha_index":885,"clock_position":885,"value":566},{"alpha_index":1253,"clock_position":1253,"value":535},{"alpha_index":1621,"clock_position":1621,"value":199},{"alpha_index":1989,"clock_position":1989,"value":168}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-150","alpha_indices":[150,518,886,1254,1622,1990],"clock_positions":[150,518,886,1254,1622,1990],"native_values":[132,235,499,602,499,235],"rotation_degrees":24.456521739130434,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":150,"clock_position":150,"value":132},{"alpha_index":518,"clock_position":518,"value":235},{"alpha_index":886,"clock_position":886,"value":499},{"alpha_index":1254,"clock_position":1254,"value":602},{"alpha_index":1622,"clock_position":1622,"value":499},{"alpha_index":1990,"clock_position":1990,"value":235}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-151","alpha_indices":[151,519,887,1255,1623,1991],"clock_positions":[151,519,887,1255,1623,1991],"native_values":[331,36,331,403,698,403],"rotation_degrees":24.619565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":151,"clock_position":151,"value":331},{"alpha_index":519,"clock_position":519,"value":36},{"alpha_index":887,"clock_position":887,"value":331},{"alpha_index":1255,"clock_position":1255,"value":403},{"alpha_index":1623,"clock_position":1623,"value":698},{"alpha_index":1991,"clock_position":1991,"value":403}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-152","alpha_indices":[152,520,888,1256,1624,1992],"clock_positions":[152,520,888,1256,1624,1992],"native_values":[463,271,96,271,463,638],"rotation_degrees":24.782608695652176,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":152,"clock_position":152,"value":463},{"alpha_index":520,"clock_position":520,"value":271},{"alpha_index":888,"clock_position":888,"value":96},{"alpha_index":1256,"clock_position":1256,"value":271},{"alpha_index":1624,"clock_position":1624,"value":463},{"alpha_index":1992,"clock_position":1992,"value":638}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-153","alpha_indices":[153,521,889,1257,1625,1993],"clock_positions":[153,521,889,1257,1625,1993],"native_values":[60,307,427,674,427,307],"rotation_degrees":24.945652173913043,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":153,"clock_position":153,"value":60},{"alpha_index":521,"clock_position":521,"value":307},{"alpha_index":889,"clock_position":889,"value":427},{"alpha_index":1257,"clock_position":1257,"value":674},{"alpha_index":1625,"clock_position":1625,"value":427},{"alpha_index":1993,"clock_position":1993,"value":307}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-154","alpha_indices":[154,522,890,1258,1626,1994],"clock_positions":[154,522,890,1258,1626,1994],"native_values":[523,578,523,211,156,211],"rotation_degrees":25.108695652173914,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":154,"clock_position":154,"value":523},{"alpha_index":522,"clock_position":522,"value":578},{"alpha_index":890,"clock_position":890,"value":523},{"alpha_index":1258,"clock_position":1258,"value":211},{"alpha_index":1626,"clock_position":1626,"value":156},{"alpha_index":1994,"clock_position":1994,"value":211}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-155","alpha_indices":[155,523,891,1259,1627,1995],"clock_positions":[155,523,891,1259,1627,1995],"native_values":[583,151,216,151,583,518],"rotation_degrees":25.27173913043478,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":155,"clock_position":155,"value":583},{"alpha_index":523,"clock_position":523,"value":151},{"alpha_index":891,"clock_position":891,"value":216},{"alpha_index":1259,"clock_position":1259,"value":151},{"alpha_index":1627,"clock_position":1627,"value":583},{"alpha_index":1995,"clock_position":1995,"value":518}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-156","alpha_indices":[156,524,892,1260,1628,1996],"clock_positions":[156,524,892,1260,1628,1996],"native_values":[372,729,5,362,5,729],"rotation_degrees":25.434782608695652,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":156,"clock_position":156,"value":372},{"alpha_index":524,"clock_position":524,"value":729},{"alpha_index":892,"clock_position":892,"value":5},{"alpha_index":1260,"clock_position":1260,"value":362},{"alpha_index":1628,"clock_position":1628,"value":5},{"alpha_index":1996,"clock_position":1996,"value":729}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-157","alpha_indices":[157,525,893,1261,1629,1997],"clock_positions":[157,525,893,1261,1629,1997],"native_values":[221,146,221,513,588,513],"rotation_degrees":25.597826086956523,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":157,"clock_position":157,"value":221},{"alpha_index":525,"clock_position":525,"value":146},{"alpha_index":893,"clock_position":893,"value":221},{"alpha_index":1261,"clock_position":1261,"value":513},{"alpha_index":1629,"clock_position":1629,"value":588},{"alpha_index":1997,"clock_position":1997,"value":513}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-158","alpha_indices":[158,526,894,1262,1630,1998],"clock_positions":[158,526,894,1262,1630,1998],"native_values":[593,141,226,141,593,508],"rotation_degrees":25.76086956521739,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":158,"clock_position":158,"value":593},{"alpha_index":526,"clock_position":526,"value":141},{"alpha_index":894,"clock_position":894,"value":226},{"alpha_index":1262,"clock_position":1262,"value":141},{"alpha_index":1630,"clock_position":1630,"value":593},{"alpha_index":1998,"clock_position":1998,"value":508}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-159","alpha_indices":[159,527,895,1263,1631,1999],"clock_positions":[159,527,895,1263,1631,1999],"native_values":[80,287,447,654,447,287],"rotation_degrees":25.92391304347826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":159,"clock_position":159,"value":80},{"alpha_index":527,"clock_position":527,"value":287},{"alpha_index":895,"clock_position":895,"value":447},{"alpha_index":1263,"clock_position":1263,"value":654},{"alpha_index":1631,"clock_position":1631,"value":447},{"alpha_index":1999,"clock_position":1999,"value":287}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-160","alpha_indices":[160,528,896,1264,1632,2000],"clock_positions":[160,528,896,1264,1632,2000],"native_values":[673,428,673,61,306,61],"rotation_degrees":26.08695652173913,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":160,"clock_position":160,"value":673},{"alpha_index":528,"clock_position":528,"value":428},{"alpha_index":896,"clock_position":896,"value":673},{"alpha_index":1264,"clock_position":1264,"value":61},{"alpha_index":1632,"clock_position":1632,"value":306},{"alpha_index":2000,"clock_position":2000,"value":61}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-161","alpha_indices":[161,529,897,1265,1633,2001],"clock_positions":[161,529,897,1265,1633,2001],"native_values":[19,715,386,715,19,348],"rotation_degrees":26.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":161,"clock_position":161,"value":19},{"alpha_index":529,"clock_position":529,"value":715},{"alpha_index":897,"clock_position":897,"value":386},{"alpha_index":1265,"clock_position":1265,"value":715},{"alpha_index":1633,"clock_position":1633,"value":19},{"alpha_index":2001,"clock_position":2001,"value":348}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-162","alpha_indices":[162,530,898,1266,1634,2002],"clock_positions":[162,530,898,1266,1634,2002],"native_values":[692,409,325,42,325,409],"rotation_degrees":26.41304347826087,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":162,"clock_position":162,"value":692},{"alpha_index":530,"clock_position":530,"value":409},{"alpha_index":898,"clock_position":898,"value":325},{"alpha_index":1266,"clock_position":1266,"value":42},{"alpha_index":1634,"clock_position":1634,"value":325},{"alpha_index":2002,"clock_position":2002,"value":409}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-163","alpha_indices":[163,531,899,1267,1635,2003],"clock_positions":[163,531,899,1267,1635,2003],"native_values":[711,390,711,23,344,23],"rotation_degrees":26.57608695652174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":163,"clock_position":163,"value":711},{"alpha_index":531,"clock_position":531,"value":390},{"alpha_index":899,"clock_position":899,"value":711},{"alpha_index":1267,"clock_position":1267,"value":23},{"alpha_index":1635,"clock_position":1635,"value":344},{"alpha_index":2003,"clock_position":2003,"value":23}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-164","alpha_indices":[164,532,900,1268,1636,2004],"clock_positions":[164,532,900,1268,1636,2004],"native_values":[669,65,302,65,669,432],"rotation_degrees":26.73913043478261,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":164,"clock_position":164,"value":669},{"alpha_index":532,"clock_position":532,"value":65},{"alpha_index":900,"clock_position":900,"value":302},{"alpha_index":1268,"clock_position":1268,"value":65},{"alpha_index":1636,"clock_position":1636,"value":669},{"alpha_index":2004,"clock_position":2004,"value":432}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-165","alpha_indices":[165,533,901,1269,1637,2005],"clock_positions":[165,533,901,1269,1637,2005],"native_values":[646,455,279,88,279,455],"rotation_degrees":26.902173913043477,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":165,"clock_position":165,"value":646},{"alpha_index":533,"clock_position":533,"value":455},{"alpha_index":901,"clock_position":901,"value":279},{"alpha_index":1269,"clock_position":1269,"value":88},{"alpha_index":1637,"clock_position":1637,"value":279},{"alpha_index":2005,"clock_position":2005,"value":455}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-166","alpha_indices":[166,534,902,1270,1638,2006],"clock_positions":[166,534,902,1270,1638,2006],"native_values":[581,520,581,153,214,153],"rotation_degrees":27.065217391304348,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":166,"clock_position":166,"value":581},{"alpha_index":534,"clock_position":534,"value":520},{"alpha_index":902,"clock_position":902,"value":581},{"alpha_index":1270,"clock_position":1270,"value":153},{"alpha_index":1638,"clock_position":1638,"value":214},{"alpha_index":2006,"clock_position":2006,"value":153}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-167","alpha_indices":[167,535,903,1271,1639,2007],"clock_positions":[167,535,903,1271,1639,2007],"native_values":[493,241,126,241,493,608],"rotation_degrees":27.22826086956522,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":167,"clock_position":167,"value":493},{"alpha_index":535,"clock_position":535,"value":241},{"alpha_index":903,"clock_position":903,"value":126},{"alpha_index":1271,"clock_position":1271,"value":241},{"alpha_index":1639,"clock_position":1639,"value":493},{"alpha_index":2007,"clock_position":2007,"value":608}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-168","alpha_indices":[168,536,904,1272,1640,2008],"clock_positions":[168,536,904,1272,1640,2008],"native_values":[340,27,707,394,707,27],"rotation_degrees":27.391304347826086,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":168,"clock_position":168,"value":340},{"alpha_index":536,"clock_position":536,"value":27},{"alpha_index":904,"clock_position":904,"value":707},{"alpha_index":1272,"clock_position":1272,"value":394},{"alpha_index":1640,"clock_position":1640,"value":707},{"alpha_index":2008,"clock_position":2008,"value":27}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-169","alpha_indices":[169,537,905,1273,1641,2009],"clock_positions":[169,537,905,1273,1641,2009],"native_values":[99,268,99,635,466,635],"rotation_degrees":27.554347826086957,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":169,"clock_position":169,"value":99},{"alpha_index":537,"clock_position":537,"value":268},{"alpha_index":905,"clock_position":905,"value":99},{"alpha_index":1273,"clock_position":1273,"value":635},{"alpha_index":1641,"clock_position":1641,"value":466},{"alpha_index":2009,"clock_position":2009,"value":635}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-170","alpha_indices":[170,538,906,1274,1642,2010],"clock_positions":[170,538,906,1274,1642,2010],"native_values":[439,295,72,295,439,662],"rotation_degrees":27.717391304347824,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":170,"clock_position":170,"value":439},{"alpha_index":538,"clock_position":538,"value":295},{"alpha_index":906,"clock_position":906,"value":72},{"alpha_index":1274,"clock_position":1274,"value":295},{"alpha_index":1642,"clock_position":1642,"value":439},{"alpha_index":2010,"clock_position":2010,"value":662}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-171","alpha_indices":[171,539,907,1275,1643,2011],"clock_positions":[171,539,907,1275,1643,2011],"native_values":[538,563,171,196,171,563],"rotation_degrees":27.880434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":171,"clock_position":171,"value":538},{"alpha_index":539,"clock_position":539,"value":563},{"alpha_index":907,"clock_position":907,"value":171},{"alpha_index":1275,"clock_position":1275,"value":196},{"alpha_index":1643,"clock_position":1643,"value":171},{"alpha_index":2011,"clock_position":2011,"value":563}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-172","alpha_indices":[172,540,908,1276,1644,2012],"clock_positions":[172,540,908,1276,1644,2012],"native_values":[243,124,243,491,610,491],"rotation_degrees":28.043478260869566,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":172,"clock_position":172,"value":243},{"alpha_index":540,"clock_position":540,"value":124},{"alpha_index":908,"clock_position":908,"value":243},{"alpha_index":1276,"clock_position":1276,"value":491},{"alpha_index":1644,"clock_position":1644,"value":610},{"alpha_index":2012,"clock_position":2012,"value":491}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-173","alpha_indices":[173,541,909,1277,1645,2013],"clock_positions":[173,541,909,1277,1645,2013],"native_values":[47,687,414,687,47,320],"rotation_degrees":28.206521739130434,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":173,"clock_position":173,"value":47},{"alpha_index":541,"clock_position":541,"value":687},{"alpha_index":909,"clock_position":909,"value":414},{"alpha_index":1277,"clock_position":1277,"value":687},{"alpha_index":1645,"clock_position":1645,"value":47},{"alpha_index":2013,"clock_position":2013,"value":320}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-174","alpha_indices":[174,542,910,1278,1646,2014],"clock_positions":[174,542,910,1278,1646,2014],"native_values":[290,77,657,444,657,77],"rotation_degrees":28.369565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":174,"clock_position":174,"value":290},{"alpha_index":542,"clock_position":542,"value":77},{"alpha_index":910,"clock_position":910,"value":657},{"alpha_index":1278,"clock_position":1278,"value":444},{"alpha_index":1646,"clock_position":1646,"value":657},{"alpha_index":2014,"clock_position":2014,"value":77}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-175","alpha_indices":[175,543,911,1279,1647,2015],"clock_positions":[175,543,911,1279,1647,2015],"native_values":[337,30,337,397,704,397],"rotation_degrees":28.532608695652176,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":175,"clock_position":175,"value":337},{"alpha_index":543,"clock_position":543,"value":30},{"alpha_index":911,"clock_position":911,"value":337},{"alpha_index":1279,"clock_position":1279,"value":397},{"alpha_index":1647,"clock_position":1647,"value":704},{"alpha_index":2015,"clock_position":2015,"value":397}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-176","alpha_indices":[176,544,912,1280,1648,2016],"clock_positions":[176,544,912,1280,1648,2016],"native_values":[627,107,260,107,627,474],"rotation_degrees":28.695652173913043,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":176,"clock_position":176,"value":627},{"alpha_index":544,"clock_position":544,"value":107},{"alpha_index":912,"clock_position":912,"value":260},{"alpha_index":1280,"clock_position":1280,"value":107},{"alpha_index":1648,"clock_position":1648,"value":627},{"alpha_index":2016,"clock_position":2016,"value":474}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-177","alpha_indices":[177,545,913,1281,1649,2017],"clock_positions":[177,545,913,1281,1649,2017],"native_values":[230,137,597,504,597,137],"rotation_degrees":28.858695652173914,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":177,"clock_position":177,"value":230},{"alpha_index":545,"clock_position":545,"value":137},{"alpha_index":913,"clock_position":913,"value":597},{"alpha_index":1281,"clock_position":1281,"value":504},{"alpha_index":1649,"clock_position":1649,"value":597},{"alpha_index":2017,"clock_position":2017,"value":137}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-178","alpha_indices":[178,546,914,1282,1650,2018],"clock_positions":[178,546,914,1282,1650,2018],"native_values":[123,244,123,611,490,611],"rotation_degrees":29.02173913043478,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":178,"clock_position":178,"value":123},{"alpha_index":546,"clock_position":546,"value":244},{"alpha_index":914,"clock_position":914,"value":123},{"alpha_index":1282,"clock_position":1282,"value":611},{"alpha_index":1650,"clock_position":1650,"value":490},{"alpha_index":2018,"clock_position":2018,"value":611}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-179","alpha_indices":[179,547,915,1283,1651,2019],"clock_positions":[179,547,915,1283,1651,2019],"native_values":[353,381,720,381,353,14],"rotation_degrees":29.184782608695652,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":179,"clock_position":179,"value":353},{"alpha_index":547,"clock_position":547,"value":381},{"alpha_index":915,"clock_position":915,"value":720},{"alpha_index":1283,"clock_position":1283,"value":381},{"alpha_index":1651,"clock_position":1651,"value":353},{"alpha_index":2019,"clock_position":2019,"value":14}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-180","alpha_indices":[180,548,916,1284,1652,2020],"clock_positions":[180,548,916,1284,1652,2020],"native_values":[476,625,109,258,109,625],"rotation_degrees":29.347826086956523,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":180,"clock_position":180,"value":476},{"alpha_index":548,"clock_position":548,"value":625},{"alpha_index":916,"clock_position":916,"value":109},{"alpha_index":1284,"clock_position":1284,"value":258},{"alpha_index":1652,"clock_position":1652,"value":109},{"alpha_index":2020,"clock_position":2020,"value":625}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-181","alpha_indices":[181,549,917,1285,1653,2021],"clock_positions":[181,549,917,1285,1653,2021],"native_values":[95,272,95,639,462,639],"rotation_degrees":29.51086956521739,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":181,"clock_position":181,"value":95},{"alpha_index":549,"clock_position":549,"value":272},{"alpha_index":917,"clock_position":917,"value":95},{"alpha_index":1285,"clock_position":1285,"value":639},{"alpha_index":1653,"clock_position":1653,"value":462},{"alpha_index":2021,"clock_position":2021,"value":639}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-182","alpha_indices":[182,550,918,1286,1654,2022],"clock_positions":[182,550,918,1286,1654,2022],"native_values":[571,163,204,163,571,530],"rotation_degrees":29.67391304347826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":182,"clock_position":182,"value":571},{"alpha_index":550,"clock_position":550,"value":163},{"alpha_index":918,"clock_position":918,"value":204},{"alpha_index":1286,"clock_position":1286,"value":163},{"alpha_index":1654,"clock_position":1654,"value":571},{"alpha_index":2022,"clock_position":2022,"value":530}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-183","alpha_indices":[183,551,919,1287,1655,2023],"clock_positions":[183,551,919,1287,1655,2023],"native_values":[666,435,299,68,299,435],"rotation_degrees":29.83695652173913,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":183,"clock_position":183,"value":666},{"alpha_index":551,"clock_position":551,"value":435},{"alpha_index":919,"clock_position":919,"value":299},{"alpha_index":1287,"clock_position":1287,"value":68},{"alpha_index":1655,"clock_position":1655,"value":299},{"alpha_index":2023,"clock_position":2023,"value":435}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-184","alpha_indices":[184,552,920,1288,1656,2024],"clock_positions":[184,552,920,1288,1656,2024],"native_values":[503,598,503,231,136,231],"rotation_degrees":30.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":184,"clock_position":184,"value":503},{"alpha_index":552,"clock_position":552,"value":598},{"alpha_index":920,"clock_position":920,"value":503},{"alpha_index":1288,"clock_position":1288,"value":231},{"alpha_index":1656,"clock_position":1656,"value":136},{"alpha_index":2024,"clock_position":2024,"value":231}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-185","alpha_indices":[185,553,921,1289,1657,2025],"clock_positions":[185,553,921,1289,1657,2025],"native_values":[435,299,68,299,435,666],"rotation_degrees":30.16304347826087,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":185,"clock_position":185,"value":435},{"alpha_index":553,"clock_position":553,"value":299},{"alpha_index":921,"clock_position":921,"value":68},{"alpha_index":1289,"clock_position":1289,"value":299},{"alpha_index":1657,"clock_position":1657,"value":435},{"alpha_index":2025,"clock_position":2025,"value":666}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-186","alpha_indices":[186,554,922,1290,1658,2026],"clock_positions":[186,554,922,1290,1658,2026],"native_values":[204,163,571,530,571,163],"rotation_degrees":30.32608695652174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":186,"clock_position":186,"value":204},{"alpha_index":554,"clock_position":554,"value":163},{"alpha_index":922,"clock_position":922,"value":571},{"alpha_index":1290,"clock_position":1290,"value":530},{"alpha_index":1658,"clock_position":1658,"value":571},{"alpha_index":2026,"clock_position":2026,"value":163}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-187","alpha_indices":[187,555,923,1291,1659,2027],"clock_positions":[187,555,923,1291,1659,2027],"native_values":[639,462,639,95,272,95],"rotation_degrees":30.48913043478261,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":187,"clock_position":187,"value":639},{"alpha_index":555,"clock_position":555,"value":462},{"alpha_index":923,"clock_position":923,"value":639},{"alpha_index":1291,"clock_position":1291,"value":95},{"alpha_index":1659,"clock_position":1659,"value":272},{"alpha_index":2027,"clock_position":2027,"value":95}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-188","alpha_indices":[188,556,924,1292,1660,2028],"clock_positions":[188,556,924,1292,1660,2028],"native_values":[109,625,476,625,109,258],"rotation_degrees":30.652173913043477,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":188,"clock_position":188,"value":109},{"alpha_index":556,"clock_position":556,"value":625},{"alpha_index":924,"clock_position":924,"value":476},{"alpha_index":1292,"clock_position":1292,"value":625},{"alpha_index":1660,"clock_position":1660,"value":109},{"alpha_index":2028,"clock_position":2028,"value":258}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-189","alpha_indices":[189,557,925,1293,1661,2029],"clock_positions":[189,557,925,1293,1661,2029],"native_values":[14,353,381,720,381,353],"rotation_degrees":30.815217391304348,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":189,"clock_position":189,"value":14},{"alpha_index":557,"clock_position":557,"value":353},{"alpha_index":925,"clock_position":925,"value":381},{"alpha_index":1293,"clock_position":1293,"value":720},{"alpha_index":1661,"clock_position":1661,"value":381},{"alpha_index":2029,"clock_position":2029,"value":353}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-190","alpha_indices":[190,558,926,1294,1662,2030],"clock_positions":[190,558,926,1294,1662,2030],"native_values":[123,244,123,611,490,611],"rotation_degrees":30.97826086956522,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":190,"clock_position":190,"value":123},{"alpha_index":558,"clock_position":558,"value":244},{"alpha_index":926,"clock_position":926,"value":123},{"alpha_index":1294,"clock_position":1294,"value":611},{"alpha_index":1662,"clock_position":1662,"value":490},{"alpha_index":2030,"clock_position":2030,"value":611}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-191","alpha_indices":[191,559,927,1295,1663,2031],"clock_positions":[191,559,927,1295,1663,2031],"native_values":[137,597,504,597,137,230],"rotation_degrees":31.141304347826086,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":191,"clock_position":191,"value":137},{"alpha_index":559,"clock_position":559,"value":597},{"alpha_index":927,"clock_position":927,"value":504},{"alpha_index":1295,"clock_position":1295,"value":597},{"alpha_index":1663,"clock_position":1663,"value":137},{"alpha_index":2031,"clock_position":2031,"value":230}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-192","alpha_indices":[192,560,928,1296,1664,2032],"clock_positions":[192,560,928,1296,1664,2032],"native_values":[260,107,627,474,627,107],"rotation_degrees":31.304347826086957,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":192,"clock_position":192,"value":260},{"alpha_index":560,"clock_position":560,"value":107},{"alpha_index":928,"clock_position":928,"value":627},{"alpha_index":1296,"clock_position":1296,"value":474},{"alpha_index":1664,"clock_position":1664,"value":627},{"alpha_index":2032,"clock_position":2032,"value":107}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-193","alpha_indices":[193,561,929,1297,1665,2033],"clock_positions":[193,561,929,1297,1665,2033],"native_values":[397,704,397,337,30,337],"rotation_degrees":31.467391304347824,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":193,"clock_position":193,"value":397},{"alpha_index":561,"clock_position":561,"value":704},{"alpha_index":929,"clock_position":929,"value":397},{"alpha_index":1297,"clock_position":1297,"value":337},{"alpha_index":1665,"clock_position":1665,"value":30},{"alpha_index":2033,"clock_position":2033,"value":337}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-194","alpha_indices":[194,562,930,1298,1666,2034],"clock_positions":[194,562,930,1298,1666,2034],"native_values":[657,77,290,77,657,444],"rotation_degrees":31.630434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":194,"clock_position":194,"value":657},{"alpha_index":562,"clock_position":562,"value":77},{"alpha_index":930,"clock_position":930,"value":290},{"alpha_index":1298,"clock_position":1298,"value":77},{"alpha_index":1666,"clock_position":1666,"value":657},{"alpha_index":2034,"clock_position":2034,"value":444}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-195","alpha_indices":[195,563,931,1299,1667,2035],"clock_positions":[195,563,931,1299,1667,2035],"native_values":[320,47,687,414,687,47],"rotation_degrees":31.793478260869566,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":195,"clock_position":195,"value":320},{"alpha_index":563,"clock_position":563,"value":47},{"alpha_index":931,"clock_position":931,"value":687},{"alpha_index":1299,"clock_position":1299,"value":414},{"alpha_index":1667,"clock_position":1667,"value":687},{"alpha_index":2035,"clock_position":2035,"value":47}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-196","alpha_indices":[196,564,932,1300,1668,2036],"clock_positions":[196,564,932,1300,1668,2036],"native_values":[243,124,243,491,610,491],"rotation_degrees":31.956521739130434,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":196,"clock_position":196,"value":243},{"alpha_index":564,"clock_position":564,"value":124},{"alpha_index":932,"clock_position":932,"value":243},{"alpha_index":1300,"clock_position":1300,"value":491},{"alpha_index":1668,"clock_position":1668,"value":610},{"alpha_index":2036,"clock_position":2036,"value":491}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-197","alpha_indices":[197,565,933,1301,1669,2037],"clock_positions":[197,565,933,1301,1669,2037],"native_values":[563,171,196,171,563,538],"rotation_degrees":32.119565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":197,"clock_position":197,"value":563},{"alpha_index":565,"clock_position":565,"value":171},{"alpha_index":933,"clock_position":933,"value":196},{"alpha_index":1301,"clock_position":1301,"value":171},{"alpha_index":1669,"clock_position":1669,"value":563},{"alpha_index":2037,"clock_position":2037,"value":538}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-198","alpha_indices":[198,566,934,1302,1670,2038],"clock_positions":[198,566,934,1302,1670,2038],"native_values":[72,295,439,662,439,295],"rotation_degrees":32.28260869565217,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":198,"clock_position":198,"value":72},{"alpha_index":566,"clock_position":566,"value":295},{"alpha_index":934,"clock_position":934,"value":439},{"alpha_index":1302,"clock_position":1302,"value":662},{"alpha_index":1670,"clock_position":1670,"value":439},{"alpha_index":2038,"clock_position":2038,"value":295}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-199","alpha_indices":[199,567,935,1303,1671,2039],"clock_positions":[199,567,935,1303,1671,2039],"native_values":[635,466,635,99,268,99],"rotation_degrees":32.44565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":199,"clock_position":199,"value":635},{"alpha_index":567,"clock_position":567,"value":466},{"alpha_index":935,"clock_position":935,"value":635},{"alpha_index":1303,"clock_position":1303,"value":99},{"alpha_index":1671,"clock_position":1671,"value":268},{"alpha_index":2039,"clock_position":2039,"value":99}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-200","alpha_indices":[200,568,936,1304,1672,2040],"clock_positions":[200,568,936,1304,1672,2040],"native_values":[707,27,340,27,707,394],"rotation_degrees":32.608695652173914,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":200,"clock_position":200,"value":707},{"alpha_index":568,"clock_position":568,"value":27},{"alpha_index":936,"clock_position":936,"value":340},{"alpha_index":1304,"clock_position":1304,"value":27},{"alpha_index":1672,"clock_position":1672,"value":707},{"alpha_index":2040,"clock_position":2040,"value":394}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-201","alpha_indices":[201,569,937,1305,1673,2041],"clock_positions":[201,569,937,1305,1673,2041],"native_values":[608,493,241,126,241,493],"rotation_degrees":32.77173913043478,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":201,"clock_position":201,"value":608},{"alpha_index":569,"clock_position":569,"value":493},{"alpha_index":937,"clock_position":937,"value":241},{"alpha_index":1305,"clock_position":1305,"value":126},{"alpha_index":1673,"clock_position":1673,"value":241},{"alpha_index":2041,"clock_position":2041,"value":493}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-202","alpha_indices":[202,570,938,1306,1674,2042],"clock_positions":[202,570,938,1306,1674,2042],"native_values":[581,520,581,153,214,153],"rotation_degrees":32.93478260869565,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":202,"clock_position":202,"value":581},{"alpha_index":570,"clock_position":570,"value":520},{"alpha_index":938,"clock_position":938,"value":581},{"alpha_index":1306,"clock_position":1306,"value":153},{"alpha_index":1674,"clock_position":1674,"value":214},{"alpha_index":2042,"clock_position":2042,"value":153}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-203","alpha_indices":[203,571,939,1307,1675,2043],"clock_positions":[203,571,939,1307,1675,2043],"native_values":[455,279,88,279,455,646],"rotation_degrees":33.09782608695652,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":203,"clock_position":203,"value":455},{"alpha_index":571,"clock_position":571,"value":279},{"alpha_index":939,"clock_position":939,"value":88},{"alpha_index":1307,"clock_position":1307,"value":279},{"alpha_index":1675,"clock_position":1675,"value":455},{"alpha_index":2043,"clock_position":2043,"value":646}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-204","alpha_indices":[204,572,940,1308,1676,2044],"clock_positions":[204,572,940,1308,1676,2044],"native_values":[302,65,669,432,669,65],"rotation_degrees":33.26086956521739,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":204,"clock_position":204,"value":302},{"alpha_index":572,"clock_position":572,"value":65},{"alpha_index":940,"clock_position":940,"value":669},{"alpha_index":1308,"clock_position":1308,"value":432},{"alpha_index":1676,"clock_position":1676,"value":669},{"alpha_index":2044,"clock_position":2044,"value":65}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-205","alpha_indices":[205,573,941,1309,1677,2045],"clock_positions":[205,573,941,1309,1677,2045],"native_values":[23,344,23,711,390,711],"rotation_degrees":33.42391304347826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":205,"clock_position":205,"value":23},{"alpha_index":573,"clock_position":573,"value":344},{"alpha_index":941,"clock_position":941,"value":23},{"alpha_index":1309,"clock_position":1309,"value":711},{"alpha_index":1677,"clock_position":1677,"value":390},{"alpha_index":2045,"clock_position":2045,"value":711}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-206","alpha_indices":[206,574,942,1310,1678,2046],"clock_positions":[206,574,942,1310,1678,2046],"native_values":[325,409,692,409,325,42],"rotation_degrees":33.58695652173913,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":206,"clock_position":206,"value":325},{"alpha_index":574,"clock_position":574,"value":409},{"alpha_index":942,"clock_position":942,"value":692},{"alpha_index":1310,"clock_position":1310,"value":409},{"alpha_index":1678,"clock_position":1678,"value":325},{"alpha_index":2046,"clock_position":2046,"value":42}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-207","alpha_indices":[207,575,943,1311,1679,2047],"clock_positions":[207,575,943,1311,1679,2047],"native_values":[348,19,715,386,715,19],"rotation_degrees":33.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":207,"clock_position":207,"value":348},{"alpha_index":575,"clock_position":575,"value":19},{"alpha_index":943,"clock_position":943,"value":715},{"alpha_index":1311,"clock_position":1311,"value":386},{"alpha_index":1679,"clock_position":1679,"value":715},{"alpha_index":2047,"clock_position":2047,"value":19}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-208","alpha_indices":[208,576,944,1312,1680,2048],"clock_positions":[208,576,944,1312,1680,2048],"native_values":[673,428,673,61,306,61],"rotation_degrees":33.91304347826087,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":208,"clock_position":208,"value":673},{"alpha_index":576,"clock_position":576,"value":428},{"alpha_index":944,"clock_position":944,"value":673},{"alpha_index":1312,"clock_position":1312,"value":61},{"alpha_index":1680,"clock_position":1680,"value":306},{"alpha_index":2048,"clock_position":2048,"value":61}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-209","alpha_indices":[209,577,945,1313,1681,2049],"clock_positions":[209,577,945,1313,1681,2049],"native_values":[287,447,654,447,287,80],"rotation_degrees":34.07608695652174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":209,"clock_position":209,"value":287},{"alpha_index":577,"clock_position":577,"value":447},{"alpha_index":945,"clock_position":945,"value":654},{"alpha_index":1313,"clock_position":1313,"value":447},{"alpha_index":1681,"clock_position":1681,"value":287},{"alpha_index":2049,"clock_position":2049,"value":80}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-210","alpha_indices":[210,578,946,1314,1682,2050],"clock_positions":[210,578,946,1314,1682,2050],"native_values":[226,141,593,508,593,141],"rotation_degrees":34.23913043478261,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":210,"clock_position":210,"value":226},{"alpha_index":578,"clock_position":578,"value":141},{"alpha_index":946,"clock_position":946,"value":593},{"alpha_index":1314,"clock_position":1314,"value":508},{"alpha_index":1682,"clock_position":1682,"value":593},{"alpha_index":2050,"clock_position":2050,"value":141}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-211","alpha_indices":[211,579,947,1315,1683,2051],"clock_positions":[211,579,947,1315,1683,2051],"native_values":[513,588,513,221,146,221],"rotation_degrees":34.40217391304348,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":211,"clock_position":211,"value":513},{"alpha_index":579,"clock_position":579,"value":588},{"alpha_index":947,"clock_position":947,"value":513},{"alpha_index":1315,"clock_position":1315,"value":221},{"alpha_index":1683,"clock_position":1683,"value":146},{"alpha_index":2051,"clock_position":2051,"value":221}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-212","alpha_indices":[212,580,948,1316,1684,2052],"clock_positions":[212,580,948,1316,1684,2052],"native_values":[5,729,372,729,5,362],"rotation_degrees":34.56521739130435,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":212,"clock_position":212,"value":5},{"alpha_index":580,"clock_position":580,"value":729},{"alpha_index":948,"clock_position":948,"value":372},{"alpha_index":1316,"clock_position":1316,"value":729},{"alpha_index":1684,"clock_position":1684,"value":5},{"alpha_index":2052,"clock_position":2052,"value":362}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-213","alpha_indices":[213,581,949,1317,1685,2053],"clock_positions":[213,581,949,1317,1685,2053],"native_values":[518,583,151,216,151,583],"rotation_degrees":34.72826086956522,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":213,"clock_position":213,"value":518},{"alpha_index":581,"clock_position":581,"value":583},{"alpha_index":949,"clock_position":949,"value":151},{"alpha_index":1317,"clock_position":1317,"value":216},{"alpha_index":1685,"clock_position":1685,"value":151},{"alpha_index":2053,"clock_position":2053,"value":583}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-214","alpha_indices":[214,582,950,1318,1686,2054],"clock_positions":[214,582,950,1318,1686,2054],"native_values":[523,578,523,211,156,211],"rotation_degrees":34.891304347826086,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":214,"clock_position":214,"value":523},{"alpha_index":582,"clock_position":582,"value":578},{"alpha_index":950,"clock_position":950,"value":523},{"alpha_index":1318,"clock_position":1318,"value":211},{"alpha_index":1686,"clock_position":1686,"value":156},{"alpha_index":2054,"clock_position":2054,"value":211}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-215","alpha_indices":[215,583,951,1319,1687,2055],"clock_positions":[215,583,951,1319,1687,2055],"native_values":[307,427,674,427,307,60],"rotation_degrees":35.05434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":215,"clock_position":215,"value":307},{"alpha_index":583,"clock_position":583,"value":427},{"alpha_index":951,"clock_position":951,"value":674},{"alpha_index":1319,"clock_position":1319,"value":427},{"alpha_index":1687,"clock_position":1687,"value":307},{"alpha_index":2055,"clock_position":2055,"value":60}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-216","alpha_indices":[216,584,952,1320,1688,2056],"clock_positions":[216,584,952,1320,1688,2056],"native_values":[96,271,463,638,463,271],"rotation_degrees":35.21739130434783,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":216,"clock_position":216,"value":96},{"alpha_index":584,"clock_position":584,"value":271},{"alpha_index":952,"clock_position":952,"value":463},{"alpha_index":1320,"clock_position":1320,"value":638},{"alpha_index":1688,"clock_position":1688,"value":463},{"alpha_index":2056,"clock_position":2056,"value":271}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-217","alpha_indices":[217,585,953,1321,1689,2057],"clock_positions":[217,585,953,1321,1689,2057],"native_values":[403,698,403,331,36,331],"rotation_degrees":35.380434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":217,"clock_position":217,"value":403},{"alpha_index":585,"clock_position":585,"value":698},{"alpha_index":953,"clock_position":953,"value":403},{"alpha_index":1321,"clock_position":1321,"value":331},{"alpha_index":1689,"clock_position":1689,"value":36},{"alpha_index":2057,"clock_position":2057,"value":331}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-218","alpha_indices":[218,586,954,1322,1690,2058],"clock_positions":[218,586,954,1322,1690,2058],"native_values":[499,235,132,235,499,602],"rotation_degrees":35.54347826086956,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":218,"clock_position":218,"value":499},{"alpha_index":586,"clock_position":586,"value":235},{"alpha_index":954,"clock_position":954,"value":132},{"alpha_index":1322,"clock_position":1322,"value":235},{"alpha_index":1690,"clock_position":1690,"value":499},{"alpha_index":2058,"clock_position":2058,"value":602}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-219","alpha_indices":[219,587,955,1323,1691,2059],"clock_positions":[219,587,955,1323,1691,2059],"native_values":[168,199,535,566,535,199],"rotation_degrees":35.70652173913044,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":219,"clock_position":219,"value":168},{"alpha_index":587,"clock_position":587,"value":199},{"alpha_index":955,"clock_position":955,"value":535},{"alpha_index":1323,"clock_position":1323,"value":566},{"alpha_index":1691,"clock_position":1691,"value":535},{"alpha_index":2059,"clock_position":2059,"value":199}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-220","alpha_indices":[220,588,956,1324,1692,2060],"clock_positions":[220,588,956,1324,1692,2060],"native_values":[667,434,667,67,300,67],"rotation_degrees":35.869565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":220,"clock_position":220,"value":667},{"alpha_index":588,"clock_position":588,"value":434},{"alpha_index":956,"clock_position":956,"value":667},{"alpha_index":1324,"clock_position":1324,"value":67},{"alpha_index":1692,"clock_position":1692,"value":300},{"alpha_index":2060,"clock_position":2060,"value":67}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-221","alpha_indices":[221,589,957,1325,1693,2061],"clock_positions":[221,589,957,1325,1693,2061],"native_values":[101,633,468,633,101,266],"rotation_degrees":36.03260869565217,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":221,"clock_position":221,"value":101},{"alpha_index":589,"clock_position":589,"value":633},{"alpha_index":957,"clock_position":957,"value":468},{"alpha_index":1325,"clock_position":1325,"value":633},{"alpha_index":1693,"clock_position":1693,"value":101},{"alpha_index":2061,"clock_position":2061,"value":266}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-222","alpha_indices":[222,590,958,1326,1694,2062],"clock_positions":[222,590,958,1326,1694,2062],"native_values":[34,333,401,700,401,333],"rotation_degrees":36.19565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":222,"clock_position":222,"value":34},{"alpha_index":590,"clock_position":590,"value":333},{"alpha_index":958,"clock_position":958,"value":401},{"alpha_index":1326,"clock_position":1326,"value":700},{"alpha_index":1694,"clock_position":1694,"value":401},{"alpha_index":2062,"clock_position":2062,"value":333}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-223","alpha_indices":[223,591,959,1327,1695,2063],"clock_positions":[223,591,959,1327,1695,2063],"native_values":[135,232,135,599,502,599],"rotation_degrees":36.358695652173914,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":223,"clock_position":223,"value":135},{"alpha_index":591,"clock_position":591,"value":232},{"alpha_index":959,"clock_position":959,"value":135},{"alpha_index":1327,"clock_position":1327,"value":599},{"alpha_index":1695,"clock_position":1695,"value":502},{"alpha_index":2063,"clock_position":2063,"value":599}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-224","alpha_indices":[224,592,960,1328,1696,2064],"clock_positions":[224,592,960,1328,1696,2064],"native_values":[169,565,536,565,169,198],"rotation_degrees":36.52173913043478,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":224,"clock_position":224,"value":169},{"alpha_index":592,"clock_position":592,"value":565},{"alpha_index":960,"clock_position":960,"value":536},{"alpha_index":1328,"clock_position":1328,"value":565},{"alpha_index":1696,"clock_position":1696,"value":169},{"alpha_index":2064,"clock_position":2064,"value":198}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-225","alpha_indices":[225,593,961,1329,1697,2065],"clock_positions":[225,593,961,1329,1697,2065],"native_values":[304,63,671,430,671,63],"rotation_degrees":36.68478260869565,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":225,"clock_position":225,"value":304},{"alpha_index":593,"clock_position":593,"value":63},{"alpha_index":961,"clock_position":961,"value":671},{"alpha_index":1329,"clock_position":1329,"value":430},{"alpha_index":1697,"clock_position":1697,"value":671},{"alpha_index":2065,"clock_position":2065,"value":63}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-226","alpha_indices":[226,594,962,1330,1698,2066],"clock_positions":[226,594,962,1330,1698,2066],"native_values":[473,628,473,261,106,261],"rotation_degrees":36.84782608695652,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":226,"clock_position":226,"value":473},{"alpha_index":594,"clock_position":594,"value":628},{"alpha_index":962,"clock_position":962,"value":473},{"alpha_index":1330,"clock_position":1330,"value":261},{"alpha_index":1698,"clock_position":1698,"value":106},{"alpha_index":2066,"clock_position":2066,"value":261}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-227","alpha_indices":[227,595,963,1331,1699,2067],"clock_positions":[227,595,963,1331,1699,2067],"native_values":[43,691,410,691,43,324],"rotation_degrees":37.01086956521739,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":227,"clock_position":227,"value":43},{"alpha_index":595,"clock_position":595,"value":691},{"alpha_index":963,"clock_position":963,"value":410},{"alpha_index":1331,"clock_position":1331,"value":691},{"alpha_index":1699,"clock_position":1699,"value":43},{"alpha_index":2067,"clock_position":2067,"value":324}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-228","alpha_indices":[228,596,964,1332,1700,2068],"clock_positions":[228,596,964,1332,1700,2068],"native_values":[516,585,149,218,149,585],"rotation_degrees":37.17391304347826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":228,"clock_position":228,"value":516},{"alpha_index":596,"clock_position":596,"value":585},{"alpha_index":964,"clock_position":964,"value":149},{"alpha_index":1332,"clock_position":1332,"value":218},{"alpha_index":1700,"clock_position":1700,"value":149},{"alpha_index":2068,"clock_position":2068,"value":585}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-229","alpha_indices":[229,597,965,1333,1701,2069],"clock_positions":[229,597,965,1333,1701,2069],"native_values":[559,542,559,175,192,175],"rotation_degrees":37.33695652173913,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":229,"clock_position":229,"value":559},{"alpha_index":597,"clock_position":597,"value":542},{"alpha_index":965,"clock_position":965,"value":559},{"alpha_index":1333,"clock_position":1333,"value":175},{"alpha_index":1701,"clock_position":1701,"value":192},{"alpha_index":2069,"clock_position":2069,"value":175}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-230","alpha_indices":[230,598,966,1334,1702,2070],"clock_positions":[230,598,966,1334,1702,2070],"native_values":[341,393,708,393,341,26],"rotation_degrees":37.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":230,"clock_position":230,"value":341},{"alpha_index":598,"clock_position":598,"value":393},{"alpha_index":966,"clock_position":966,"value":708},{"alpha_index":1334,"clock_position":1334,"value":393},{"alpha_index":1702,"clock_position":1702,"value":341},{"alpha_index":2070,"clock_position":2070,"value":26}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-231","alpha_indices":[231,599,967,1335,1703,2071],"clock_positions":[231,599,967,1335,1703,2071],"native_values":[166,201,533,568,533,201],"rotation_degrees":37.66304347826087,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":231,"clock_position":231,"value":166},{"alpha_index":599,"clock_position":599,"value":201},{"alpha_index":967,"clock_position":967,"value":533},{"alpha_index":1335,"clock_position":1335,"value":568},{"alpha_index":1703,"clock_position":1703,"value":533},{"alpha_index":2071,"clock_position":2071,"value":201}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-232","alpha_indices":[232,600,968,1336,1704,2072],"clock_positions":[232,600,968,1336,1704,2072],"native_values":[507,594,507,227,140,227],"rotation_degrees":37.82608695652174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":232,"clock_position":232,"value":507},{"alpha_index":600,"clock_position":600,"value":594},{"alpha_index":968,"clock_position":968,"value":507},{"alpha_index":1336,"clock_position":1336,"value":227},{"alpha_index":1704,"clock_position":1704,"value":140},{"alpha_index":2072,"clock_position":2072,"value":227}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-233","alpha_indices":[233,601,969,1337,1705,2073],"clock_positions":[233,601,969,1337,1705,2073],"native_values":[673,61,306,61,673,428],"rotation_degrees":37.98913043478261,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":233,"clock_position":233,"value":673},{"alpha_index":601,"clock_position":601,"value":61},{"alpha_index":969,"clock_position":969,"value":306},{"alpha_index":1337,"clock_position":1337,"value":61},{"alpha_index":1705,"clock_position":1705,"value":673},{"alpha_index":2073,"clock_position":2073,"value":428}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-234","alpha_indices":[234,602,970,1338,1706,2074],"clock_positions":[234,602,970,1338,1706,2074],"native_values":[446,655,79,288,79,655],"rotation_degrees":38.15217391304348,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":234,"clock_position":234,"value":446},{"alpha_index":602,"clock_position":602,"value":655},{"alpha_index":970,"clock_position":970,"value":79},{"alpha_index":1338,"clock_position":1338,"value":288},{"alpha_index":1706,"clock_position":1706,"value":79},{"alpha_index":2074,"clock_position":2074,"value":655}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-235","alpha_indices":[235,603,971,1339,1707,2075],"clock_positions":[235,603,971,1339,1707,2075],"native_values":[385,716,385,349,18,349],"rotation_degrees":38.31521739130435,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":235,"clock_position":235,"value":385},{"alpha_index":603,"clock_position":603,"value":716},{"alpha_index":971,"clock_position":971,"value":385},{"alpha_index":1339,"clock_position":1339,"value":349},{"alpha_index":1707,"clock_position":1707,"value":18},{"alpha_index":2075,"clock_position":2075,"value":349}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-236","alpha_indices":[236,604,972,1340,1708,2076],"clock_positions":[236,604,972,1340,1708,2076],"native_values":[97,637,464,637,97,270],"rotation_degrees":38.47826086956522,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":236,"clock_position":236,"value":97},{"alpha_index":604,"clock_position":604,"value":637},{"alpha_index":972,"clock_position":972,"value":464},{"alpha_index":1340,"clock_position":1340,"value":637},{"alpha_index":1708,"clock_position":1708,"value":97},{"alpha_index":2076,"clock_position":2076,"value":270}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-237","alpha_indices":[237,605,973,1341,1709,2077],"clock_positions":[237,605,973,1341,1709,2077],"native_values":[482,619,115,252,115,619],"rotation_degrees":38.641304347826086,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":237,"clock_position":237,"value":482},{"alpha_index":605,"clock_position":605,"value":619},{"alpha_index":973,"clock_position":973,"value":115},{"alpha_index":1341,"clock_position":1341,"value":252},{"alpha_index":1709,"clock_position":1709,"value":115},{"alpha_index":2077,"clock_position":2077,"value":619}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-238","alpha_indices":[238,606,974,1342,1710,2078],"clock_positions":[238,606,974,1342,1710,2078],"native_values":[579,522,579,155,212,155],"rotation_degrees":38.80434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":238,"clock_position":238,"value":579},{"alpha_index":606,"clock_position":606,"value":522},{"alpha_index":974,"clock_position":974,"value":579},{"alpha_index":1342,"clock_position":1342,"value":155},{"alpha_index":1710,"clock_position":1710,"value":212},{"alpha_index":2078,"clock_position":2078,"value":155}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-239","alpha_indices":[239,607,975,1343,1711,2079],"clock_positions":[239,607,975,1343,1711,2079],"native_values":[327,407,694,407,327,40],"rotation_degrees":38.96739130434783,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":239,"clock_position":239,"value":327},{"alpha_index":607,"clock_position":607,"value":407},{"alpha_index":975,"clock_position":975,"value":694},{"alpha_index":1343,"clock_position":1343,"value":407},{"alpha_index":1711,"clock_position":1711,"value":327},{"alpha_index":2079,"clock_position":2079,"value":40}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-240","alpha_indices":[240,608,976,1344,1712,2080],"clock_positions":[240,608,976,1344,1712,2080],"native_values":[172,195,539,562,539,195],"rotation_degrees":39.130434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":240,"clock_position":240,"value":172},{"alpha_index":608,"clock_position":608,"value":195},{"alpha_index":976,"clock_position":976,"value":539},{"alpha_index":1344,"clock_position":1344,"value":562},{"alpha_index":1712,"clock_position":1712,"value":539},{"alpha_index":2080,"clock_position":2080,"value":195}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-241","alpha_indices":[241,609,977,1345,1713,2081],"clock_positions":[241,609,977,1345,1713,2081],"native_values":[499,602,499,235,132,235],"rotation_degrees":39.29347826086956,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":241,"clock_position":241,"value":499},{"alpha_index":609,"clock_position":609,"value":602},{"alpha_index":977,"clock_position":977,"value":499},{"alpha_index":1345,"clock_position":1345,"value":235},{"alpha_index":1713,"clock_position":1713,"value":132},{"alpha_index":2081,"clock_position":2081,"value":235}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-242","alpha_indices":[242,610,978,1346,1714,2082],"clock_positions":[242,610,978,1346,1714,2082],"native_values":[671,63,304,63,671,430],"rotation_degrees":39.45652173913044,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":242,"clock_position":242,"value":671},{"alpha_index":610,"clock_position":610,"value":63},{"alpha_index":978,"clock_position":978,"value":304},{"alpha_index":1346,"clock_position":1346,"value":63},{"alpha_index":1714,"clock_position":1714,"value":671},{"alpha_index":2082,"clock_position":2082,"value":430}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-243","alpha_indices":[243,611,979,1347,1715,2083],"clock_positions":[243,611,979,1347,1715,2083],"native_values":[436,665,69,298,69,665],"rotation_degrees":39.619565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":243,"clock_position":243,"value":436},{"alpha_index":611,"clock_position":611,"value":665},{"alpha_index":979,"clock_position":979,"value":69},{"alpha_index":1347,"clock_position":1347,"value":298},{"alpha_index":1715,"clock_position":1715,"value":69},{"alpha_index":2083,"clock_position":2083,"value":665}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-244","alpha_indices":[244,612,980,1348,1716,2084],"clock_positions":[244,612,980,1348,1716,2084],"native_values":[373,728,373,361,6,361],"rotation_degrees":39.78260869565217,"missing_required_values":[3,9],"failing_nodes":[{"alpha_index":244,"clock_position":244,"value":373},{"alpha_index":612,"clock_position":612,"value":728},{"alpha_index":980,"clock_position":980,"value":373},{"alpha_index":1348,"clock_position":1348,"value":361},{"alpha_index":2084,"clock_position":2084,"value":361}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-245","alpha_indices":[245,613,981,1349,1717,2085],"clock_positions":[245,613,981,1349,1717,2085],"native_values":[75,659,442,659,75,292],"rotation_degrees":39.94565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":245,"clock_position":245,"value":75},{"alpha_index":613,"clock_position":613,"value":659},{"alpha_index":981,"clock_position":981,"value":442},{"alpha_index":1349,"clock_position":1349,"value":659},{"alpha_index":1717,"clock_position":1717,"value":75},{"alpha_index":2085,"clock_position":2085,"value":292}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-246","alpha_indices":[246,614,982,1350,1718,2086],"clock_positions":[246,614,982,1350,1718,2086],"native_values":[448,653,81,286,81,653],"rotation_degrees":40.108695652173914,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":246,"clock_position":246,"value":448},{"alpha_index":614,"clock_position":614,"value":653},{"alpha_index":982,"clock_position":982,"value":81},{"alpha_index":1350,"clock_position":1350,"value":286},{"alpha_index":1718,"clock_position":1718,"value":81},{"alpha_index":2086,"clock_position":2086,"value":653}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-247","alpha_indices":[247,615,983,1351,1719,2087],"clock_positions":[247,615,983,1351,1719,2087],"native_values":[523,578,523,211,156,211],"rotation_degrees":40.27173913043478,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":247,"clock_position":247,"value":523},{"alpha_index":615,"clock_position":615,"value":578},{"alpha_index":983,"clock_position":983,"value":523},{"alpha_index":1351,"clock_position":1351,"value":211},{"alpha_index":1719,"clock_position":1719,"value":156},{"alpha_index":2087,"clock_position":2087,"value":211}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-248","alpha_indices":[248,616,984,1352,1720,2088],"clock_positions":[248,616,984,1352,1720,2088],"native_values":[237,497,604,497,237,130],"rotation_degrees":40.43478260869565,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":248,"clock_position":248,"value":237},{"alpha_index":616,"clock_position":616,"value":497},{"alpha_index":984,"clock_position":984,"value":604},{"alpha_index":1352,"clock_position":1352,"value":497},{"alpha_index":1720,"clock_position":1720,"value":237},{"alpha_index":2088,"clock_position":2088,"value":130}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-249","alpha_indices":[249,617,985,1353,1721,2089],"clock_positions":[249,617,985,1353,1721,2089],"native_values":[26,341,393,708,393,341],"rotation_degrees":40.59782608695652,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":249,"clock_position":249,"value":26},{"alpha_index":617,"clock_position":617,"value":341},{"alpha_index":985,"clock_position":985,"value":393},{"alpha_index":1353,"clock_position":1353,"value":708},{"alpha_index":1721,"clock_position":1721,"value":393},{"alpha_index":2089,"clock_position":2089,"value":341}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-250","alpha_indices":[250,618,986,1354,1722,2090],"clock_positions":[250,618,986,1354,1722,2090],"native_values":[263,104,263,471,630,471],"rotation_degrees":40.76086956521739,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":250,"clock_position":250,"value":263},{"alpha_index":618,"clock_position":618,"value":104},{"alpha_index":986,"clock_position":986,"value":263},{"alpha_index":1354,"clock_position":1354,"value":471},{"alpha_index":1722,"clock_position":1722,"value":630},{"alpha_index":2090,"clock_position":2090,"value":471}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-251","alpha_indices":[251,619,987,1355,1723,2091],"clock_positions":[251,619,987,1355,1723,2091],"native_values":[289,445,656,445,289,78],"rotation_degrees":40.92391304347826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":251,"clock_position":251,"value":289},{"alpha_index":619,"clock_position":619,"value":445},{"alpha_index":987,"clock_position":987,"value":656},{"alpha_index":1355,"clock_position":1355,"value":445},{"alpha_index":1723,"clock_position":1723,"value":289},{"alpha_index":2091,"clock_position":2091,"value":78}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-252","alpha_indices":[252,620,988,1356,1724,2092],"clock_positions":[252,620,988,1356,1724,2092],"native_values":[552,549,185,182,185,549],"rotation_degrees":41.08695652173913,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":252,"clock_position":252,"value":552},{"alpha_index":620,"clock_position":620,"value":549},{"alpha_index":988,"clock_position":988,"value":185},{"alpha_index":1356,"clock_position":1356,"value":182},{"alpha_index":1724,"clock_position":1724,"value":185},{"alpha_index":2092,"clock_position":2092,"value":549}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-253","alpha_indices":[253,621,989,1357,1725,2093],"clock_positions":[253,621,989,1357,1725,2093],"native_values":[107,260,107,627,474,627],"rotation_degrees":41.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":253,"clock_position":253,"value":107},{"alpha_index":621,"clock_position":621,"value":260},{"alpha_index":989,"clock_position":989,"value":107},{"alpha_index":1357,"clock_position":1357,"value":627},{"alpha_index":1725,"clock_position":1725,"value":474},{"alpha_index":2093,"clock_position":2093,"value":627}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-254","alpha_indices":[254,622,990,1358,1726,2094],"clock_positions":[254,622,990,1358,1726,2094],"native_values":[659,75,292,75,659,442],"rotation_degrees":41.41304347826087,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":254,"clock_position":254,"value":659},{"alpha_index":622,"clock_position":622,"value":75},{"alpha_index":990,"clock_position":990,"value":292},{"alpha_index":1358,"clock_position":1358,"value":75},{"alpha_index":1726,"clock_position":1726,"value":659},{"alpha_index":2094,"clock_position":2094,"value":442}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-255","alpha_indices":[255,623,991,1359,1727,2095],"clock_positions":[255,623,991,1359,1727,2095],"native_values":[32,335,399,702,399,335],"rotation_degrees":41.57608695652174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":255,"clock_position":255,"value":32},{"alpha_index":623,"clock_position":623,"value":335},{"alpha_index":991,"clock_position":991,"value":399},{"alpha_index":1359,"clock_position":1359,"value":702},{"alpha_index":1727,"clock_position":1727,"value":399},{"alpha_index":2095,"clock_position":2095,"value":335}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-256","alpha_indices":[256,624,992,1360,1728,2096],"clock_positions":[256,624,992,1360,1728,2096],"native_values":[691,410,691,43,324,43],"rotation_degrees":41.73913043478261,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":256,"clock_position":256,"value":691},{"alpha_index":624,"clock_position":624,"value":410},{"alpha_index":992,"clock_position":992,"value":691},{"alpha_index":1360,"clock_position":1360,"value":43},{"alpha_index":1728,"clock_position":1728,"value":324},{"alpha_index":2096,"clock_position":2096,"value":43}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-257","alpha_indices":[257,625,993,1361,1729,2097],"clock_positions":[257,625,993,1361,1729,2097],"native_values":[723,11,356,11,723,378],"rotation_degrees":41.90217391304348,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":257,"clock_position":257,"value":723},{"alpha_index":625,"clock_position":625,"value":11},{"alpha_index":993,"clock_position":993,"value":356},{"alpha_index":1361,"clock_position":1361,"value":11},{"alpha_index":1729,"clock_position":1729,"value":723},{"alpha_index":2097,"clock_position":2097,"value":378}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-258","alpha_indices":[258,626,994,1362,1730,2098],"clock_positions":[258,626,994,1362,1730,2098],"native_values":[680,421,313,54,313,421],"rotation_degrees":42.06521739130435,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":258,"clock_position":258,"value":680},{"alpha_index":626,"clock_position":626,"value":421},{"alpha_index":994,"clock_position":994,"value":313},{"alpha_index":1362,"clock_position":1362,"value":54},{"alpha_index":1730,"clock_position":1730,"value":313},{"alpha_index":2098,"clock_position":2098,"value":421}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-259","alpha_indices":[259,627,995,1363,1731,2099],"clock_positions":[259,627,995,1363,1731,2099],"native_values":[669,432,669,65,302,65],"rotation_degrees":42.22826086956522,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":259,"clock_position":259,"value":669},{"alpha_index":627,"clock_position":627,"value":432},{"alpha_index":995,"clock_position":995,"value":669},{"alpha_index":1363,"clock_position":1363,"value":65},{"alpha_index":1731,"clock_position":1731,"value":302},{"alpha_index":2099,"clock_position":2099,"value":65}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-260","alpha_indices":[260,628,996,1364,1732,2100],"clock_positions":[260,628,996,1364,1732,2100],"native_values":[615,119,248,119,615,486],"rotation_degrees":42.391304347826086,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":260,"clock_position":260,"value":615},{"alpha_index":628,"clock_position":628,"value":119},{"alpha_index":996,"clock_position":996,"value":248},{"alpha_index":1364,"clock_position":1364,"value":119},{"alpha_index":1732,"clock_position":1732,"value":615},{"alpha_index":2100,"clock_position":2100,"value":486}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-261","alpha_indices":[261,629,997,1365,1733,2101],"clock_positions":[261,629,997,1365,1733,2101],"native_values":[550,551,183,184,183,551],"rotation_degrees":42.55434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":261,"clock_position":261,"value":550},{"alpha_index":629,"clock_position":629,"value":551},{"alpha_index":997,"clock_position":997,"value":183},{"alpha_index":1365,"clock_position":1365,"value":184},{"alpha_index":1733,"clock_position":1733,"value":183},{"alpha_index":2101,"clock_position":2101,"value":551}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-262","alpha_indices":[262,630,998,1366,1734,2102],"clock_positions":[262,630,998,1366,1734,2102],"native_values":[431,670,431,303,64,303],"rotation_degrees":42.71739130434783,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":262,"clock_position":262,"value":431},{"alpha_index":630,"clock_position":630,"value":670},{"alpha_index":998,"clock_position":998,"value":431},{"alpha_index":1366,"clock_position":1366,"value":303},{"alpha_index":1734,"clock_position":1734,"value":64},{"alpha_index":2102,"clock_position":2102,"value":303}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-263","alpha_indices":[263,631,999,1367,1735,2103],"clock_positions":[263,631,999,1367,1735,2103],"native_values":[247,487,614,487,247,120],"rotation_degrees":42.880434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":263,"clock_position":263,"value":247},{"alpha_index":631,"clock_position":631,"value":487},{"alpha_index":999,"clock_position":999,"value":614},{"alpha_index":1367,"clock_position":1367,"value":487},{"alpha_index":1735,"clock_position":1735,"value":247},{"alpha_index":2103,"clock_position":2103,"value":120}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-264","alpha_indices":[264,632,1000,1368,1736,2104],"clock_positions":[264,632,1000,1368,1736,2104],"native_values":[678,423,311,56,311,423],"rotation_degrees":43.04347826086956,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":264,"clock_position":264,"value":678},{"alpha_index":632,"clock_position":632,"value":423},{"alpha_index":1000,"clock_position":1000,"value":311},{"alpha_index":1368,"clock_position":1368,"value":56},{"alpha_index":1736,"clock_position":1736,"value":311},{"alpha_index":2104,"clock_position":2104,"value":423}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-265","alpha_indices":[265,633,1001,1369,1737,2105],"clock_positions":[265,633,1001,1369,1737,2105],"native_values":[191,176,191,543,558,543],"rotation_degrees":43.20652173913044,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":265,"clock_position":265,"value":191},{"alpha_index":633,"clock_position":633,"value":176},{"alpha_index":1001,"clock_position":1001,"value":191},{"alpha_index":1369,"clock_position":1369,"value":543},{"alpha_index":1737,"clock_position":1737,"value":558},{"alpha_index":2105,"clock_position":2105,"value":543}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-266","alpha_indices":[266,634,1002,1370,1738,2106],"clock_positions":[266,634,1002,1370,1738,2106],"native_values":[135,599,502,599,135,232],"rotation_degrees":43.369565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":266,"clock_position":266,"value":135},{"alpha_index":634,"clock_position":634,"value":599},{"alpha_index":1002,"clock_position":1002,"value":502},{"alpha_index":1370,"clock_position":1370,"value":599},{"alpha_index":1738,"clock_position":1738,"value":135},{"alpha_index":2106,"clock_position":2106,"value":232}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-267","alpha_indices":[267,635,1003,1371,1739,2107],"clock_positions":[267,635,1003,1371,1739,2107],"native_values":[326,41,693,408,693,41],"rotation_degrees":43.53260869565217,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":267,"clock_position":267,"value":326},{"alpha_index":635,"clock_position":635,"value":41},{"alpha_index":1003,"clock_position":1003,"value":693},{"alpha_index":1371,"clock_position":1371,"value":408},{"alpha_index":1739,"clock_position":1739,"value":693},{"alpha_index":2107,"clock_position":2107,"value":41}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-268","alpha_indices":[268,636,1004,1372,1740,2108],"clock_positions":[268,636,1004,1372,1740,2108],"native_values":[461,640,461,273,94,273],"rotation_degrees":43.69565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":268,"clock_position":268,"value":461},{"alpha_index":636,"clock_position":636,"value":640},{"alpha_index":1004,"clock_position":1004,"value":461},{"alpha_index":1372,"clock_position":1372,"value":273},{"alpha_index":1740,"clock_position":1740,"value":94},{"alpha_index":2108,"clock_position":2108,"value":273}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-269","alpha_indices":[269,637,1005,1373,1741,2109],"clock_positions":[269,637,1005,1373,1741,2109],"native_values":[53,681,420,681,53,314],"rotation_degrees":43.858695652173914,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":269,"clock_position":269,"value":53},{"alpha_index":637,"clock_position":637,"value":681},{"alpha_index":1005,"clock_position":1005,"value":420},{"alpha_index":1373,"clock_position":1373,"value":681},{"alpha_index":1741,"clock_position":1741,"value":53},{"alpha_index":2109,"clock_position":2109,"value":314}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-270","alpha_indices":[270,638,1006,1374,1742,2110],"clock_positions":[270,638,1006,1374,1742,2110],"native_values":[514,587,147,220,147,587],"rotation_degrees":44.02173913043478,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":270,"clock_position":270,"value":514},{"alpha_index":638,"clock_position":638,"value":587},{"alpha_index":1006,"clock_position":1006,"value":147},{"alpha_index":1374,"clock_position":1374,"value":220},{"alpha_index":1742,"clock_position":1742,"value":147},{"alpha_index":2110,"clock_position":2110,"value":587}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-271","alpha_indices":[271,639,1007,1375,1743,2111],"clock_positions":[271,639,1007,1375,1743,2111],"native_values":[567,534,567,167,200,167],"rotation_degrees":44.18478260869565,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":271,"clock_position":271,"value":567},{"alpha_index":639,"clock_position":639,"value":534},{"alpha_index":1007,"clock_position":1007,"value":567},{"alpha_index":1375,"clock_position":1375,"value":167},{"alpha_index":1743,"clock_position":1743,"value":200},{"alpha_index":2111,"clock_position":2111,"value":167}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-272","alpha_indices":[272,640,1008,1376,1744,2112],"clock_positions":[272,640,1008,1376,1744,2112],"native_values":[347,387,714,387,347,20],"rotation_degrees":44.34782608695652,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":272,"clock_position":272,"value":347},{"alpha_index":640,"clock_position":640,"value":387},{"alpha_index":1008,"clock_position":1008,"value":714},{"alpha_index":1376,"clock_position":1376,"value":387},{"alpha_index":1744,"clock_position":1744,"value":347},{"alpha_index":2112,"clock_position":2112,"value":20}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-273","alpha_indices":[273,641,1009,1377,1745,2113],"clock_positions":[273,641,1009,1377,1745,2113],"native_values":[180,187,547,554,547,187],"rotation_degrees":44.51086956521739,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":273,"clock_position":273,"value":180},{"alpha_index":641,"clock_position":641,"value":187},{"alpha_index":1009,"clock_position":1009,"value":547},{"alpha_index":1377,"clock_position":1377,"value":554},{"alpha_index":1745,"clock_position":1745,"value":547},{"alpha_index":2113,"clock_position":2113,"value":187}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-274","alpha_indices":[274,642,1010,1378,1746,2114],"clock_positions":[274,642,1010,1378,1746,2114],"native_values":[527,574,527,207,160,207],"rotation_degrees":44.67391304347826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":274,"clock_position":274,"value":527},{"alpha_index":642,"clock_position":642,"value":574},{"alpha_index":1010,"clock_position":1010,"value":527},{"alpha_index":1378,"clock_position":1378,"value":207},{"alpha_index":1746,"clock_position":1746,"value":160},{"alpha_index":2114,"clock_position":2114,"value":207}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-275","alpha_indices":[275,643,1011,1379,1747,2115],"clock_positions":[275,643,1011,1379,1747,2115],"native_values":[707,27,340,27,707,394],"rotation_degrees":44.83695652173913,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":275,"clock_position":275,"value":707},{"alpha_index":643,"clock_position":643,"value":27},{"alpha_index":1011,"clock_position":1011,"value":340},{"alpha_index":1379,"clock_position":1379,"value":27},{"alpha_index":1747,"clock_position":1747,"value":707},{"alpha_index":2115,"clock_position":2115,"value":394}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-276","alpha_indices":[276,644,1012,1380,1748,2116],"clock_positions":[276,644,1012,1380,1748,2116],"native_values":[500,601,133,234,133,601],"rotation_degrees":45.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":276,"clock_position":276,"value":500},{"alpha_index":644,"clock_position":644,"value":601},{"alpha_index":1012,"clock_position":1012,"value":133},{"alpha_index":1380,"clock_position":1380,"value":234},{"alpha_index":1748,"clock_position":1748,"value":133},{"alpha_index":2116,"clock_position":2116,"value":601}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-277","alpha_indices":[277,645,1013,1381,1749,2117],"clock_positions":[277,645,1013,1381,1749,2117],"native_values":[473,628,473,261,106,261],"rotation_degrees":45.16304347826087,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":277,"clock_position":277,"value":473},{"alpha_index":645,"clock_position":645,"value":628},{"alpha_index":1013,"clock_position":1013,"value":473},{"alpha_index":1381,"clock_position":1381,"value":261},{"alpha_index":1749,"clock_position":1749,"value":106},{"alpha_index":2117,"clock_position":2117,"value":261}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-278","alpha_indices":[278,646,1014,1382,1750,2118],"clock_positions":[278,646,1014,1382,1750,2118],"native_values":[239,495,606,495,239,128],"rotation_degrees":45.32608695652174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":278,"clock_position":278,"value":239},{"alpha_index":646,"clock_position":646,"value":495},{"alpha_index":1014,"clock_position":1014,"value":606},{"alpha_index":1382,"clock_position":1382,"value":495},{"alpha_index":1750,"clock_position":1750,"value":239},{"alpha_index":2118,"clock_position":2118,"value":128}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-279","alpha_indices":[279,647,1015,1383,1751,2119],"clock_positions":[279,647,1015,1383,1751,2119],"native_values":[712,389,345,22,345,389],"rotation_degrees":45.48913043478261,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":279,"clock_position":279,"value":712},{"alpha_index":647,"clock_position":647,"value":389},{"alpha_index":1015,"clock_position":1015,"value":345},{"alpha_index":1383,"clock_position":1383,"value":22},{"alpha_index":1751,"clock_position":1751,"value":345},{"alpha_index":2119,"clock_position":2119,"value":389}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-280","alpha_indices":[280,648,1016,1384,1752,2120],"clock_positions":[280,648,1016,1384,1752,2120],"native_values":[217,150,217,517,584,517],"rotation_degrees":45.65217391304348,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":280,"clock_position":280,"value":217},{"alpha_index":648,"clock_position":648,"value":150},{"alpha_index":1016,"clock_position":1016,"value":217},{"alpha_index":1384,"clock_position":1384,"value":517},{"alpha_index":1752,"clock_position":1752,"value":584},{"alpha_index":2120,"clock_position":2120,"value":517}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-281","alpha_indices":[281,649,1017,1385,1753,2121],"clock_positions":[281,649,1017,1385,1753,2121],"native_values":[195,539,562,539,195,172],"rotation_degrees":45.81521739130435,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":281,"clock_position":281,"value":195},{"alpha_index":649,"clock_position":649,"value":539},{"alpha_index":1017,"clock_position":1017,"value":562},{"alpha_index":1385,"clock_position":1385,"value":539},{"alpha_index":1753,"clock_position":1753,"value":195},{"alpha_index":2121,"clock_position":2121,"value":172}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-282","alpha_indices":[282,650,1018,1386,1754,2122],"clock_positions":[282,650,1018,1386,1754,2122],"native_values":[412,689,45,322,45,689],"rotation_degrees":45.97826086956522,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":282,"clock_position":282,"value":412},{"alpha_index":650,"clock_position":650,"value":689},{"alpha_index":1018,"clock_position":1018,"value":45},{"alpha_index":1386,"clock_position":1386,"value":322},{"alpha_index":1754,"clock_position":1754,"value":45},{"alpha_index":2122,"clock_position":2122,"value":689}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-283","alpha_indices":[283,651,1019,1387,1755,2123],"clock_positions":[283,651,1019,1387,1755,2123],"native_values":[607,494,607,127,240,127],"rotation_degrees":46.141304347826086,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":283,"clock_position":283,"value":607},{"alpha_index":651,"clock_position":651,"value":494},{"alpha_index":1019,"clock_position":1019,"value":607},{"alpha_index":1387,"clock_position":1387,"value":127},{"alpha_index":1755,"clock_position":1755,"value":240},{"alpha_index":2123,"clock_position":2123,"value":127}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-284","alpha_indices":[284,652,1020,1388,1756,2124],"clock_positions":[284,652,1020,1388,1756,2124],"native_values":[285,449,652,449,285,82],"rotation_degrees":46.30434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":284,"clock_position":284,"value":285},{"alpha_index":652,"clock_position":652,"value":449},{"alpha_index":1020,"clock_position":1020,"value":652},{"alpha_index":1388,"clock_position":1388,"value":449},{"alpha_index":1756,"clock_position":1756,"value":285},{"alpha_index":2124,"clock_position":2124,"value":82}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-285","alpha_indices":[285,653,1021,1389,1757,2125],"clock_positions":[285,653,1021,1389,1757,2125],"native_values":[158,209,525,576,525,209],"rotation_degrees":46.46739130434783,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":285,"clock_position":285,"value":158},{"alpha_index":653,"clock_position":653,"value":209},{"alpha_index":1021,"clock_position":1021,"value":525},{"alpha_index":1389,"clock_position":1389,"value":576},{"alpha_index":1757,"clock_position":1757,"value":525},{"alpha_index":2125,"clock_position":2125,"value":209}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-286","alpha_indices":[286,654,1022,1390,1758,2126],"clock_positions":[286,654,1022,1390,1758,2126],"native_values":[443,658,443,291,76,291],"rotation_degrees":46.630434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":286,"clock_position":286,"value":443},{"alpha_index":654,"clock_position":654,"value":658},{"alpha_index":1022,"clock_position":1022,"value":443},{"alpha_index":1390,"clock_position":1390,"value":291},{"alpha_index":1758,"clock_position":1758,"value":76},{"alpha_index":2126,"clock_position":2126,"value":291}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-287","alpha_indices":[287,655,1023,1391,1759,2127],"clock_positions":[287,655,1023,1391,1759,2127],"native_values":[601,133,234,133,601,500],"rotation_degrees":46.79347826086956,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":287,"clock_position":287,"value":601},{"alpha_index":655,"clock_position":655,"value":133},{"alpha_index":1023,"clock_position":1023,"value":234},{"alpha_index":1391,"clock_position":1391,"value":133},{"alpha_index":1759,"clock_position":1759,"value":601},{"alpha_index":2127,"clock_position":2127,"value":500}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-288","alpha_indices":[288,656,1024,1392,1760,2128],"clock_positions":[288,656,1024,1392,1760,2128],"native_values":[310,57,677,424,677,57],"rotation_degrees":46.95652173913044,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":288,"clock_position":288,"value":310},{"alpha_index":656,"clock_position":656,"value":57},{"alpha_index":1024,"clock_position":1024,"value":677},{"alpha_index":1392,"clock_position":1392,"value":424},{"alpha_index":1760,"clock_position":1760,"value":677},{"alpha_index":2128,"clock_position":2128,"value":57}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-289","alpha_indices":[289,657,1025,1393,1761,2129],"clock_positions":[289,657,1025,1393,1761,2129],"native_values":[177,190,177,557,544,557],"rotation_degrees":47.119565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":289,"clock_position":289,"value":177},{"alpha_index":657,"clock_position":657,"value":190},{"alpha_index":1025,"clock_position":1025,"value":177},{"alpha_index":1393,"clock_position":1393,"value":557},{"alpha_index":1761,"clock_position":1761,"value":544},{"alpha_index":2129,"clock_position":2129,"value":557}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-290","alpha_indices":[290,658,1026,1394,1762,2130],"clock_positions":[290,658,1026,1394,1762,2130],"native_values":[487,247,120,247,487,614],"rotation_degrees":47.28260869565217,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":290,"clock_position":290,"value":487},{"alpha_index":658,"clock_position":658,"value":247},{"alpha_index":1026,"clock_position":1026,"value":120},{"alpha_index":1394,"clock_position":1394,"value":247},{"alpha_index":1762,"clock_position":1762,"value":487},{"alpha_index":2130,"clock_position":2130,"value":614}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-291","alpha_indices":[291,659,1027,1395,1763,2131],"clock_positions":[291,659,1027,1395,1763,2131],"native_values":[664,437,297,70,297,437],"rotation_degrees":47.44565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":291,"clock_position":291,"value":664},{"alpha_index":659,"clock_position":659,"value":437},{"alpha_index":1027,"clock_position":1027,"value":297},{"alpha_index":1395,"clock_position":1395,"value":70},{"alpha_index":1763,"clock_position":1763,"value":297},{"alpha_index":2131,"clock_position":2131,"value":437}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-292","alpha_indices":[292,660,1028,1396,1764,2132],"clock_positions":[292,660,1028,1396,1764,2132],"native_values":[417,684,417,317,50,317],"rotation_degrees":47.608695652173914,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":292,"clock_position":292,"value":417},{"alpha_index":660,"clock_position":660,"value":684},{"alpha_index":1028,"clock_position":1028,"value":417},{"alpha_index":1396,"clock_position":1396,"value":317},{"alpha_index":1764,"clock_position":1764,"value":50},{"alpha_index":2132,"clock_position":2132,"value":317}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-293","alpha_indices":[293,661,1029,1397,1765,2133],"clock_positions":[293,661,1029,1397,1765,2133],"native_values":[347,387,714,387,347,20],"rotation_degrees":47.77173913043478,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":293,"clock_position":293,"value":347},{"alpha_index":661,"clock_position":661,"value":387},{"alpha_index":1029,"clock_position":1029,"value":714},{"alpha_index":1397,"clock_position":1397,"value":387},{"alpha_index":1765,"clock_position":1765,"value":347},{"alpha_index":2133,"clock_position":2133,"value":20}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-294","alpha_indices":[294,662,1030,1398,1766,2134],"clock_positions":[294,662,1030,1398,1766,2134],"native_values":[30,337,397,704,397,337],"rotation_degrees":47.93478260869565,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":294,"clock_position":294,"value":30},{"alpha_index":662,"clock_position":662,"value":337},{"alpha_index":1030,"clock_position":1030,"value":397},{"alpha_index":1398,"clock_position":1398,"value":704},{"alpha_index":1766,"clock_position":1766,"value":397},{"alpha_index":2134,"clock_position":2134,"value":337}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-295","alpha_indices":[295,663,1031,1399,1767,2135],"clock_positions":[295,663,1031,1399,1767,2135],"native_values":[377,724,377,357,10,357],"rotation_degrees":48.09782608695652,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":295,"clock_position":295,"value":377},{"alpha_index":663,"clock_position":663,"value":724},{"alpha_index":1031,"clock_position":1031,"value":377},{"alpha_index":1399,"clock_position":1399,"value":357},{"alpha_index":1767,"clock_position":1767,"value":10},{"alpha_index":2135,"clock_position":2135,"value":357}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-296","alpha_indices":[296,664,1032,1400,1768,2136],"clock_positions":[296,664,1032,1400,1768,2136],"native_values":[407,327,40,327,407,694],"rotation_degrees":48.26086956521739,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":296,"clock_position":296,"value":407},{"alpha_index":664,"clock_position":664,"value":327},{"alpha_index":1032,"clock_position":1032,"value":40},{"alpha_index":1400,"clock_position":1400,"value":327},{"alpha_index":1768,"clock_position":1768,"value":407},{"alpha_index":2136,"clock_position":2136,"value":694}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-297","alpha_indices":[297,665,1033,1401,1769,2137],"clock_positions":[297,665,1033,1401,1769,2137],"native_values":[50,317,417,684,417,317],"rotation_degrees":48.42391304347826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":297,"clock_position":297,"value":50},{"alpha_index":665,"clock_position":665,"value":317},{"alpha_index":1033,"clock_position":1033,"value":417},{"alpha_index":1401,"clock_position":1401,"value":684},{"alpha_index":1769,"clock_position":1769,"value":417},{"alpha_index":2137,"clock_position":2137,"value":317}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-298","alpha_indices":[298,666,1034,1402,1770,2138],"clock_positions":[298,666,1034,1402,1770,2138],"native_values":[457,644,457,277,90,277],"rotation_degrees":48.58695652173913,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":298,"clock_position":298,"value":457},{"alpha_index":666,"clock_position":666,"value":644},{"alpha_index":1034,"clock_position":1034,"value":457},{"alpha_index":1402,"clock_position":1402,"value":277},{"alpha_index":1770,"clock_position":1770,"value":90},{"alpha_index":2138,"clock_position":2138,"value":277}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-299","alpha_indices":[299,667,1035,1403,1771,2139],"clock_positions":[299,667,1035,1403,1771,2139],"native_values":[507,227,140,227,507,594],"rotation_degrees":48.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":299,"clock_position":299,"value":507},{"alpha_index":667,"clock_position":667,"value":227},{"alpha_index":1035,"clock_position":1035,"value":140},{"alpha_index":1403,"clock_position":1403,"value":227},{"alpha_index":1771,"clock_position":1771,"value":507},{"alpha_index":2139,"clock_position":2139,"value":594}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-300","alpha_indices":[300,668,1036,1404,1772,2140],"clock_positions":[300,668,1036,1404,1772,2140],"native_values":[230,137,597,504,597,137],"rotation_degrees":48.91304347826087,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":300,"clock_position":300,"value":230},{"alpha_index":668,"clock_position":668,"value":137},{"alpha_index":1036,"clock_position":1036,"value":597},{"alpha_index":1404,"clock_position":1404,"value":504},{"alpha_index":1772,"clock_position":1772,"value":597},{"alpha_index":2140,"clock_position":2140,"value":137}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-301","alpha_indices":[301,669,1037,1405,1773,2141],"clock_positions":[301,669,1037,1405,1773,2141],"native_values":[3,364,3,731,370,731],"rotation_degrees":49.07608695652174,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":669,"clock_position":669,"value":364},{"alpha_index":1405,"clock_position":1405,"value":731},{"alpha_index":1773,"clock_position":1773,"value":370},{"alpha_index":2141,"clock_position":2141,"value":731}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-302","alpha_indices":[302,670,1038,1406,1774,2142],"clock_positions":[302,670,1038,1406,1774,2142],"native_values":[233,501,600,501,233,134],"rotation_degrees":49.23913043478261,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":302,"clock_position":302,"value":233},{"alpha_index":670,"clock_position":670,"value":501},{"alpha_index":1038,"clock_position":1038,"value":600},{"alpha_index":1406,"clock_position":1406,"value":501},{"alpha_index":1774,"clock_position":1774,"value":233},{"alpha_index":2142,"clock_position":2142,"value":134}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-303","alpha_indices":[303,671,1039,1407,1775,2143],"clock_positions":[303,671,1039,1407,1775,2143],"native_values":[236,131,603,498,603,131],"rotation_degrees":49.40217391304348,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":303,"clock_position":303,"value":236},{"alpha_index":671,"clock_position":671,"value":131},{"alpha_index":1039,"clock_position":1039,"value":603},{"alpha_index":1407,"clock_position":1407,"value":498},{"alpha_index":1775,"clock_position":1775,"value":603},{"alpha_index":2143,"clock_position":2143,"value":131}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-304","alpha_indices":[304,672,1040,1408,1776,2144],"clock_positions":[304,672,1040,1408,1776,2144],"native_values":[469,632,469,265,102,265],"rotation_degrees":49.56521739130435,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":304,"clock_position":304,"value":469},{"alpha_index":672,"clock_position":672,"value":632},{"alpha_index":1040,"clock_position":1040,"value":469},{"alpha_index":1408,"clock_position":1408,"value":265},{"alpha_index":1776,"clock_position":1776,"value":102},{"alpha_index":2144,"clock_position":2144,"value":265}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-305","alpha_indices":[305,673,1041,1409,1777,2145],"clock_positions":[305,673,1041,1409,1777,2145],"native_values":[705,29,338,29,705,396],"rotation_degrees":49.72826086956522,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":305,"clock_position":305,"value":705},{"alpha_index":673,"clock_position":673,"value":29},{"alpha_index":1041,"clock_position":1041,"value":338},{"alpha_index":1409,"clock_position":1409,"value":29},{"alpha_index":1777,"clock_position":1777,"value":705},{"alpha_index":2145,"clock_position":2145,"value":396}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-306","alpha_indices":[306,674,1042,1410,1778,2146],"clock_positions":[306,674,1042,1410,1778,2146],"native_values":[440,661,73,294,73,661],"rotation_degrees":49.891304347826086,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":306,"clock_position":306,"value":440},{"alpha_index":674,"clock_position":674,"value":661},{"alpha_index":1042,"clock_position":1042,"value":73},{"alpha_index":1410,"clock_position":1410,"value":294},{"alpha_index":1778,"clock_position":1778,"value":73},{"alpha_index":2146,"clock_position":2146,"value":661}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-307","alpha_indices":[307,675,1043,1411,1779,2147],"clock_positions":[307,675,1043,1411,1779,2147],"native_values":[411,690,411,323,44,323],"rotation_degrees":50.05434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":307,"clock_position":307,"value":411},{"alpha_index":675,"clock_position":675,"value":690},{"alpha_index":1043,"clock_position":1043,"value":411},{"alpha_index":1411,"clock_position":1411,"value":323},{"alpha_index":1779,"clock_position":1779,"value":44},{"alpha_index":2147,"clock_position":2147,"value":323}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-308","alpha_indices":[308,676,1044,1412,1780,2148],"clock_positions":[308,676,1044,1412,1780,2148],"native_values":[117,617,484,617,117,250],"rotation_degrees":50.21739130434783,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":308,"clock_position":308,"value":117},{"alpha_index":676,"clock_position":676,"value":617},{"alpha_index":1044,"clock_position":1044,"value":484},{"alpha_index":1412,"clock_position":1412,"value":617},{"alpha_index":1780,"clock_position":1780,"value":117},{"alpha_index":2148,"clock_position":2148,"value":250}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-309","alpha_indices":[309,677,1045,1413,1781,2149],"clock_positions":[309,677,1045,1413,1781,2149],"native_values":[528,573,161,206,161,573],"rotation_degrees":50.380434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":309,"clock_position":309,"value":528},{"alpha_index":677,"clock_position":677,"value":573},{"alpha_index":1045,"clock_position":1045,"value":161},{"alpha_index":1413,"clock_position":1413,"value":206},{"alpha_index":1781,"clock_position":1781,"value":161},{"alpha_index":2149,"clock_position":2149,"value":573}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-310","alpha_indices":[310,678,1046,1414,1782,2150],"clock_positions":[310,678,1046,1414,1782,2150],"native_values":[645,456,645,89,278,89],"rotation_degrees":50.54347826086956,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":310,"clock_position":310,"value":645},{"alpha_index":678,"clock_position":678,"value":456},{"alpha_index":1046,"clock_position":1046,"value":645},{"alpha_index":1414,"clock_position":1414,"value":89},{"alpha_index":1782,"clock_position":1782,"value":278},{"alpha_index":2150,"clock_position":2150,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-311","alpha_indices":[311,679,1047,1415,1783,2151],"clock_positions":[311,679,1047,1415,1783,2151],"native_values":[439,295,72,295,439,662],"rotation_degrees":50.70652173913044,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":311,"clock_position":311,"value":439},{"alpha_index":679,"clock_position":679,"value":295},{"alpha_index":1047,"clock_position":1047,"value":72},{"alpha_index":1415,"clock_position":1415,"value":295},{"alpha_index":1783,"clock_position":1783,"value":439},{"alpha_index":2151,"clock_position":2151,"value":662}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-312","alpha_indices":[312,680,1048,1416,1784,2152],"clock_positions":[312,680,1048,1416,1784,2152],"native_values":[350,17,717,384,717,17],"rotation_degrees":50.869565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":312,"clock_position":312,"value":350},{"alpha_index":680,"clock_position":680,"value":17},{"alpha_index":1048,"clock_position":1048,"value":717},{"alpha_index":1416,"clock_position":1416,"value":384},{"alpha_index":1784,"clock_position":1784,"value":717},{"alpha_index":2152,"clock_position":2152,"value":17}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-313","alpha_indices":[313,681,1049,1417,1785,2153],"clock_positions":[313,681,1049,1417,1785,2153],"native_values":[55,312,55,679,422,679],"rotation_degrees":51.03260869565217,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":313,"clock_position":313,"value":55},{"alpha_index":681,"clock_position":681,"value":312},{"alpha_index":1049,"clock_position":1049,"value":55},{"alpha_index":1417,"clock_position":1417,"value":679},{"alpha_index":1785,"clock_position":1785,"value":422},{"alpha_index":2153,"clock_position":2153,"value":679}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-314","alpha_indices":[314,682,1050,1418,1786,2154],"clock_positions":[314,682,1050,1418,1786,2154],"native_values":[405,329,38,329,405,696],"rotation_degrees":51.19565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":314,"clock_position":314,"value":405},{"alpha_index":682,"clock_position":682,"value":329},{"alpha_index":1050,"clock_position":1050,"value":38},{"alpha_index":1418,"clock_position":1418,"value":329},{"alpha_index":1786,"clock_position":1786,"value":405},{"alpha_index":2154,"clock_position":2154,"value":696}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-315","alpha_indices":[315,683,1051,1419,1787,2155],"clock_positions":[315,683,1051,1419,1787,2155],"native_values":[460,641,93,274,93,641],"rotation_degrees":51.358695652173914,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":315,"clock_position":315,"value":460},{"alpha_index":683,"clock_position":683,"value":641},{"alpha_index":1051,"clock_position":1051,"value":93},{"alpha_index":1419,"clock_position":1419,"value":274},{"alpha_index":1787,"clock_position":1787,"value":93},{"alpha_index":2155,"clock_position":2155,"value":641}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-316","alpha_indices":[316,684,1052,1420,1788,2156],"clock_positions":[316,684,1052,1420,1788,2156],"native_values":[131,236,131,603,498,603],"rotation_degrees":51.52173913043478,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":316,"clock_position":316,"value":131},{"alpha_index":684,"clock_position":684,"value":236},{"alpha_index":1052,"clock_position":1052,"value":131},{"alpha_index":1420,"clock_position":1420,"value":603},{"alpha_index":1788,"clock_position":1788,"value":498},{"alpha_index":2156,"clock_position":2156,"value":603}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-317","alpha_indices":[317,685,1053,1421,1789,2157],"clock_positions":[317,685,1053,1421,1789,2157],"native_values":[591,143,224,143,591,510],"rotation_degrees":51.68478260869565,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":317,"clock_position":317,"value":591},{"alpha_index":685,"clock_position":685,"value":143},{"alpha_index":1053,"clock_position":1053,"value":224},{"alpha_index":1421,"clock_position":1421,"value":143},{"alpha_index":1789,"clock_position":1789,"value":591},{"alpha_index":2157,"clock_position":2157,"value":510}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-318","alpha_indices":[318,686,1054,1422,1790,2158],"clock_positions":[318,686,1054,1422,1790,2158],"native_values":[722,379,355,12,355,379],"rotation_degrees":51.84782608695652,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":318,"clock_position":318,"value":722},{"alpha_index":686,"clock_position":686,"value":379},{"alpha_index":1054,"clock_position":1054,"value":355},{"alpha_index":1422,"clock_position":1422,"value":12},{"alpha_index":1790,"clock_position":1790,"value":355},{"alpha_index":2158,"clock_position":2158,"value":379}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-319","alpha_indices":[319,687,1055,1423,1791,2159],"clock_positions":[319,687,1055,1423,1791,2159],"native_values":[579,522,579,155,212,155],"rotation_degrees":52.01086956521739,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":319,"clock_position":319,"value":579},{"alpha_index":687,"clock_position":687,"value":522},{"alpha_index":1055,"clock_position":1055,"value":579},{"alpha_index":1423,"clock_position":1423,"value":155},{"alpha_index":1791,"clock_position":1791,"value":212},{"alpha_index":2159,"clock_position":2159,"value":155}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-320","alpha_indices":[320,688,1056,1424,1792,2160],"clock_positions":[320,688,1056,1424,1792,2160],"native_values":[567,167,200,167,567,534],"rotation_degrees":52.17391304347826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":320,"clock_position":320,"value":567},{"alpha_index":688,"clock_position":688,"value":167},{"alpha_index":1056,"clock_position":1056,"value":200},{"alpha_index":1424,"clock_position":1424,"value":167},{"alpha_index":1792,"clock_position":1792,"value":567},{"alpha_index":2160,"clock_position":2160,"value":534}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-321","alpha_indices":[321,689,1057,1425,1793,2161],"clock_positions":[321,689,1057,1425,1793,2161],"native_values":[412,689,45,322,45,689],"rotation_degrees":52.33695652173913,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":321,"clock_position":321,"value":412},{"alpha_index":689,"clock_position":689,"value":689},{"alpha_index":1057,"clock_position":1057,"value":45},{"alpha_index":1425,"clock_position":1425,"value":322},{"alpha_index":1793,"clock_position":1793,"value":45},{"alpha_index":2161,"clock_position":2161,"value":689}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-322","alpha_indices":[322,690,1058,1426,1794,2162],"clock_positions":[322,690,1058,1426,1794,2162],"native_values":[245,122,245,489,612,489],"rotation_degrees":52.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":322,"clock_position":322,"value":245},{"alpha_index":690,"clock_position":690,"value":122},{"alpha_index":1058,"clock_position":1058,"value":245},{"alpha_index":1426,"clock_position":1426,"value":489},{"alpha_index":1794,"clock_position":1794,"value":612},{"alpha_index":2162,"clock_position":2162,"value":489}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-323","alpha_indices":[323,691,1059,1427,1795,2163],"clock_positions":[323,691,1059,1427,1795,2163],"native_values":[657,77,290,77,657,444],"rotation_degrees":52.66304347826087,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":323,"clock_position":323,"value":657},{"alpha_index":691,"clock_position":691,"value":77},{"alpha_index":1059,"clock_position":1059,"value":290},{"alpha_index":1427,"clock_position":1427,"value":77},{"alpha_index":1795,"clock_position":1795,"value":657},{"alpha_index":2163,"clock_position":2163,"value":444}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-324","alpha_indices":[324,692,1060,1428,1796,2164],"clock_positions":[324,692,1060,1428,1796,2164],"native_values":[168,199,535,566,535,199],"rotation_degrees":52.82608695652174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":324,"clock_position":324,"value":168},{"alpha_index":692,"clock_position":692,"value":199},{"alpha_index":1060,"clock_position":1060,"value":535},{"alpha_index":1428,"clock_position":1428,"value":566},{"alpha_index":1796,"clock_position":1796,"value":535},{"alpha_index":2164,"clock_position":2164,"value":199}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-325","alpha_indices":[325,693,1061,1429,1797,2165],"clock_positions":[325,693,1061,1429,1797,2165],"native_values":[91,276,91,643,458,643],"rotation_degrees":52.98913043478261,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":325,"clock_position":325,"value":91},{"alpha_index":693,"clock_position":693,"value":276},{"alpha_index":1061,"clock_position":1061,"value":91},{"alpha_index":1429,"clock_position":1429,"value":643},{"alpha_index":1797,"clock_position":1797,"value":458},{"alpha_index":2165,"clock_position":2165,"value":643}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-326","alpha_indices":[326,694,1062,1430,1798,2166],"clock_positions":[326,694,1062,1430,1798,2166],"native_values":[259,475,626,475,259,108],"rotation_degrees":53.15217391304348,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":326,"clock_position":326,"value":259},{"alpha_index":694,"clock_position":694,"value":475},{"alpha_index":1062,"clock_position":1062,"value":626},{"alpha_index":1430,"clock_position":1430,"value":475},{"alpha_index":1798,"clock_position":1798,"value":259},{"alpha_index":2166,"clock_position":2166,"value":108}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-327","alpha_indices":[327,695,1063,1431,1799,2167],"clock_positions":[327,695,1063,1431,1799,2167],"native_values":[350,17,717,384,717,17],"rotation_degrees":53.31521739130435,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":327,"clock_position":327,"value":350},{"alpha_index":695,"clock_position":695,"value":17},{"alpha_index":1063,"clock_position":1063,"value":717},{"alpha_index":1431,"clock_position":1431,"value":384},{"alpha_index":1799,"clock_position":1799,"value":717},{"alpha_index":2167,"clock_position":2167,"value":17}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-328","alpha_indices":[328,696,1064,1432,1800,2168],"clock_positions":[328,696,1064,1432,1800,2168],"native_values":[609,492,609,125,242,125],"rotation_degrees":53.47826086956522,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":328,"clock_position":328,"value":609},{"alpha_index":696,"clock_position":696,"value":492},{"alpha_index":1064,"clock_position":1064,"value":609},{"alpha_index":1432,"clock_position":1432,"value":125},{"alpha_index":1800,"clock_position":1800,"value":242},{"alpha_index":2168,"clock_position":2168,"value":125}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-329","alpha_indices":[329,697,1065,1433,1801,2169],"clock_positions":[329,697,1065,1433,1801,2169],"native_values":[225,509,592,509,225,142],"rotation_degrees":53.641304347826086,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":329,"clock_position":329,"value":225},{"alpha_index":697,"clock_position":697,"value":509},{"alpha_index":1065,"clock_position":1065,"value":592},{"alpha_index":1433,"clock_position":1433,"value":509},{"alpha_index":1801,"clock_position":1801,"value":225},{"alpha_index":2169,"clock_position":2169,"value":142}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-330","alpha_indices":[330,698,1066,1434,1802,2170],"clock_positions":[330,698,1066,1434,1802,2170],"native_values":[100,267,467,634,467,267],"rotation_degrees":53.80434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":330,"clock_position":330,"value":100},{"alpha_index":698,"clock_position":698,"value":267},{"alpha_index":1066,"clock_position":1066,"value":467},{"alpha_index":1434,"clock_position":1434,"value":634},{"alpha_index":1802,"clock_position":1802,"value":467},{"alpha_index":2170,"clock_position":2170,"value":267}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-331","alpha_indices":[331,699,1067,1435,1803,2171],"clock_positions":[331,699,1067,1435,1803,2171],"native_values":[325,42,325,409,692,409],"rotation_degrees":53.96739130434783,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":331,"clock_position":331,"value":325},{"alpha_index":699,"clock_position":699,"value":42},{"alpha_index":1067,"clock_position":1067,"value":325},{"alpha_index":1435,"clock_position":1435,"value":409},{"alpha_index":1803,"clock_position":1803,"value":692},{"alpha_index":2171,"clock_position":2171,"value":409}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-332","alpha_indices":[332,700,1068,1436,1804,2172],"clock_positions":[332,700,1068,1436,1804,2172],"native_values":[425,309,58,309,425,676],"rotation_degrees":54.130434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":332,"clock_position":332,"value":425},{"alpha_index":700,"clock_position":700,"value":309},{"alpha_index":1068,"clock_position":1068,"value":58},{"alpha_index":1436,"clock_position":1436,"value":309},{"alpha_index":1804,"clock_position":1804,"value":425},{"alpha_index":2172,"clock_position":2172,"value":676}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-333","alpha_indices":[333,701,1069,1437,1805,2173],"clock_positions":[333,701,1069,1437,1805,2173],"native_values":[16,351,383,718,383,351],"rotation_degrees":54.29347826086956,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":333,"clock_position":333,"value":16},{"alpha_index":701,"clock_position":701,"value":351},{"alpha_index":1069,"clock_position":1069,"value":383},{"alpha_index":1437,"clock_position":1437,"value":718},{"alpha_index":1805,"clock_position":1805,"value":383},{"alpha_index":2173,"clock_position":2173,"value":351}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-334","alpha_indices":[334,702,1070,1438,1806,2174],"clock_positions":[334,702,1070,1438,1806,2174],"native_values":[441,660,441,293,74,293],"rotation_degrees":54.45652173913044,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":334,"clock_position":334,"value":441},{"alpha_index":702,"clock_position":702,"value":660},{"alpha_index":1070,"clock_position":1070,"value":441},{"alpha_index":1438,"clock_position":1438,"value":293},{"alpha_index":1806,"clock_position":1806,"value":74},{"alpha_index":2174,"clock_position":2174,"value":293}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-335","alpha_indices":[335,703,1071,1439,1807,2175],"clock_positions":[335,703,1071,1439,1807,2175],"native_values":[457,277,90,277,457,644],"rotation_degrees":54.619565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":335,"clock_position":335,"value":457},{"alpha_index":703,"clock_position":703,"value":277},{"alpha_index":1071,"clock_position":1071,"value":90},{"alpha_index":1439,"clock_position":1439,"value":277},{"alpha_index":1807,"clock_position":1807,"value":457},{"alpha_index":2175,"clock_position":2175,"value":644}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-336","alpha_indices":[336,704,1072,1440,1808,2176],"clock_positions":[336,704,1072,1440,1808,2176],"native_values":[164,203,531,570,531,203],"rotation_degrees":54.78260869565217,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":336,"clock_position":336,"value":164},{"alpha_index":704,"clock_position":704,"value":203},{"alpha_index":1072,"clock_position":1072,"value":531},{"alpha_index":1440,"clock_position":1440,"value":570},{"alpha_index":1808,"clock_position":1808,"value":531},{"alpha_index":2176,"clock_position":2176,"value":203}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-337","alpha_indices":[337,705,1073,1441,1809,2177],"clock_positions":[337,705,1073,1441,1809,2177],"native_values":[621,480,621,113,254,113],"rotation_degrees":54.94565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":337,"clock_position":337,"value":621},{"alpha_index":705,"clock_position":705,"value":480},{"alpha_index":1073,"clock_position":1073,"value":621},{"alpha_index":1441,"clock_position":1441,"value":113},{"alpha_index":1809,"clock_position":1809,"value":254},{"alpha_index":2177,"clock_position":2177,"value":113}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-338","alpha_indices":[338,706,1074,1442,1810,2178],"clock_positions":[338,706,1074,1442,1810,2178],"native_values":[51,683,418,683,51,316],"rotation_degrees":55.108695652173914,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":338,"clock_position":338,"value":51},{"alpha_index":706,"clock_position":706,"value":683},{"alpha_index":1074,"clock_position":1074,"value":418},{"alpha_index":1442,"clock_position":1442,"value":683},{"alpha_index":1810,"clock_position":1810,"value":51},{"alpha_index":2178,"clock_position":2178,"value":316}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-339","alpha_indices":[339,707,1075,1443,1811,2179],"clock_positions":[339,707,1075,1443,1811,2179],"native_values":[672,429,305,62,305,429],"rotation_degrees":55.27173913043478,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":339,"clock_position":339,"value":672},{"alpha_index":707,"clock_position":707,"value":429},{"alpha_index":1075,"clock_position":1075,"value":305},{"alpha_index":1443,"clock_position":1443,"value":62},{"alpha_index":1811,"clock_position":1811,"value":305},{"alpha_index":2179,"clock_position":2179,"value":429}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-340","alpha_indices":[340,708,1076,1444,1812,2180],"clock_positions":[340,708,1076,1444,1812,2180],"native_values":[723,378,723,11,356,11],"rotation_degrees":55.43478260869565,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":340,"clock_position":340,"value":723},{"alpha_index":708,"clock_position":708,"value":378},{"alpha_index":1076,"clock_position":1076,"value":723},{"alpha_index":1444,"clock_position":1444,"value":11},{"alpha_index":1812,"clock_position":1812,"value":356},{"alpha_index":2180,"clock_position":2180,"value":11}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-341","alpha_indices":[341,709,1077,1445,1813,2181],"clock_positions":[341,709,1077,1445,1813,2181],"native_values":[661,73,294,73,661,440],"rotation_degrees":55.59782608695652,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":341,"clock_position":341,"value":661},{"alpha_index":709,"clock_position":709,"value":73},{"alpha_index":1077,"clock_position":1077,"value":294},{"alpha_index":1445,"clock_position":1445,"value":73},{"alpha_index":1813,"clock_position":1813,"value":661},{"alpha_index":2181,"clock_position":2181,"value":440}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-342","alpha_indices":[342,710,1078,1446,1814,2182],"clock_positions":[342,710,1078,1446,1814,2182],"native_values":[650,451,283,84,283,451],"rotation_degrees":55.76086956521739,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":342,"clock_position":342,"value":650},{"alpha_index":710,"clock_position":710,"value":451},{"alpha_index":1078,"clock_position":1078,"value":283},{"alpha_index":1446,"clock_position":1446,"value":84},{"alpha_index":1814,"clock_position":1814,"value":283},{"alpha_index":2182,"clock_position":2182,"value":451}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-343","alpha_indices":[343,711,1079,1447,1815,2183],"clock_positions":[343,711,1079,1447,1815,2183],"native_values":[577,524,577,157,210,157],"rotation_degrees":55.92391304347826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":343,"clock_position":343,"value":577},{"alpha_index":711,"clock_position":711,"value":524},{"alpha_index":1079,"clock_position":1079,"value":577},{"alpha_index":1447,"clock_position":1447,"value":157},{"alpha_index":1815,"clock_position":1815,"value":210},{"alpha_index":2183,"clock_position":2183,"value":157}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-344","alpha_indices":[344,712,1080,1448,1816,2184],"clock_positions":[344,712,1080,1448,1816,2184],"native_values":[493,241,126,241,493,608],"rotation_degrees":56.08695652173913,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":344,"clock_position":344,"value":493},{"alpha_index":712,"clock_position":712,"value":241},{"alpha_index":1080,"clock_position":1080,"value":126},{"alpha_index":1448,"clock_position":1448,"value":241},{"alpha_index":1816,"clock_position":1816,"value":493},{"alpha_index":2184,"clock_position":2184,"value":608}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-345","alpha_indices":[345,713,1081,1449,1817,2185],"clock_positions":[345,713,1081,1449,1817,2185],"native_values":[336,31,703,398,703,31],"rotation_degrees":56.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":345,"clock_position":345,"value":336},{"alpha_index":713,"clock_position":713,"value":31},{"alpha_index":1081,"clock_position":1081,"value":703},{"alpha_index":1449,"clock_position":1449,"value":398},{"alpha_index":1817,"clock_position":1817,"value":703},{"alpha_index":2185,"clock_position":2185,"value":31}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-346","alpha_indices":[346,714,1082,1450,1818,2186],"clock_positions":[346,714,1082,1450,1818,2186],"native_values":[95,272,95,639,462,639],"rotation_degrees":56.41304347826087,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":346,"clock_position":346,"value":95},{"alpha_index":714,"clock_position":714,"value":272},{"alpha_index":1082,"clock_position":1082,"value":95},{"alpha_index":1450,"clock_position":1450,"value":639},{"alpha_index":1818,"clock_position":1818,"value":462},{"alpha_index":2186,"clock_position":2186,"value":639}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-347","alpha_indices":[347,715,1083,1451,1819,2187],"clock_positions":[347,715,1083,1451,1819,2187],"native_values":[431,303,64,303,431,670],"rotation_degrees":56.57608695652174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":347,"clock_position":347,"value":431},{"alpha_index":715,"clock_position":715,"value":303},{"alpha_index":1083,"clock_position":1083,"value":64},{"alpha_index":1451,"clock_position":1451,"value":303},{"alpha_index":1819,"clock_position":1819,"value":431},{"alpha_index":2187,"clock_position":2187,"value":670}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-348","alpha_indices":[348,716,1084,1452,1820,2188],"clock_positions":[348,716,1084,1452,1820,2188],"native_values":[526,575,159,208,159,575],"rotation_degrees":56.73913043478261,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":348,"clock_position":348,"value":526},{"alpha_index":716,"clock_position":716,"value":575},{"alpha_index":1084,"clock_position":1084,"value":159},{"alpha_index":1452,"clock_position":1452,"value":208},{"alpha_index":1820,"clock_position":1820,"value":159},{"alpha_index":2188,"clock_position":2188,"value":575}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-349","alpha_indices":[349,717,1085,1453,1821,2189],"clock_positions":[349,717,1085,1453,1821,2189],"native_values":[223,144,223,511,590,511],"rotation_degrees":56.90217391304348,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":349,"clock_position":349,"value":223},{"alpha_index":717,"clock_position":717,"value":144},{"alpha_index":1085,"clock_position":1085,"value":223},{"alpha_index":1453,"clock_position":1453,"value":511},{"alpha_index":1821,"clock_position":1821,"value":590},{"alpha_index":2189,"clock_position":2189,"value":511}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-350","alpha_indices":[350,718,1086,1454,1822,2190],"clock_positions":[350,718,1086,1454,1822,2190],"native_values":[15,719,382,719,15,352],"rotation_degrees":57.06521739130435,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":350,"clock_position":350,"value":15},{"alpha_index":718,"clock_position":718,"value":719},{"alpha_index":1086,"clock_position":1086,"value":382},{"alpha_index":1454,"clock_position":1454,"value":719},{"alpha_index":1822,"clock_position":1822,"value":15},{"alpha_index":2190,"clock_position":2190,"value":352}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-351","alpha_indices":[351,719,1087,1455,1823,2191],"clock_positions":[351,719,1087,1455,1823,2191],"native_values":[238,129,605,496,605,129],"rotation_degrees":57.22826086956522,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":351,"clock_position":351,"value":238},{"alpha_index":719,"clock_position":719,"value":129},{"alpha_index":1087,"clock_position":1087,"value":605},{"alpha_index":1455,"clock_position":1455,"value":496},{"alpha_index":1823,"clock_position":1823,"value":605},{"alpha_index":2191,"clock_position":2191,"value":129}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-352","alpha_indices":[352,720,1088,1456,1824,2192],"clock_positions":[352,720,1088,1456,1824,2192],"native_values":[253,114,253,481,620,481],"rotation_degrees":57.391304347826086,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":352,"clock_position":352,"value":253},{"alpha_index":720,"clock_position":720,"value":114},{"alpha_index":1088,"clock_position":1088,"value":253},{"alpha_index":1456,"clock_position":1456,"value":481},{"alpha_index":1824,"clock_position":1824,"value":620},{"alpha_index":2192,"clock_position":2192,"value":481}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-353","alpha_indices":[353,721,1089,1457,1825,2193],"clock_positions":[353,721,1089,1457,1825,2193],"native_values":[491,243,124,243,491,610],"rotation_degrees":57.55434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":353,"clock_position":353,"value":491},{"alpha_index":721,"clock_position":721,"value":243},{"alpha_index":1089,"clock_position":1089,"value":124},{"alpha_index":1457,"clock_position":1457,"value":243},{"alpha_index":1825,"clock_position":1825,"value":491},{"alpha_index":2193,"clock_position":2193,"value":610}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-354","alpha_indices":[354,722,1090,1458,1826,2194],"clock_positions":[354,722,1090,1458,1826,2194],"native_values":[10,357,377,724,377,357],"rotation_degrees":57.71739130434783,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":354,"clock_position":354,"value":10},{"alpha_index":722,"clock_position":722,"value":357},{"alpha_index":1090,"clock_position":1090,"value":377},{"alpha_index":1458,"clock_position":1458,"value":724},{"alpha_index":1826,"clock_position":1826,"value":377},{"alpha_index":2194,"clock_position":2194,"value":357}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-355","alpha_indices":[355,723,1091,1459,1827,2195],"clock_positions":[355,723,1091,1459,1827,2195],"native_values":[501,600,501,233,134,233],"rotation_degrees":57.880434782608695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":355,"clock_position":355,"value":501},{"alpha_index":723,"clock_position":723,"value":600},{"alpha_index":1091,"clock_position":1091,"value":501},{"alpha_index":1459,"clock_position":1459,"value":233},{"alpha_index":1827,"clock_position":1827,"value":134},{"alpha_index":2195,"clock_position":2195,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-356","alpha_indices":[356,724,1092,1460,1828,2196],"clock_positions":[356,724,1092,1460,1828,2196],"native_values":[511,223,144,223,511,590],"rotation_degrees":58.04347826086956,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":356,"clock_position":356,"value":511},{"alpha_index":724,"clock_position":724,"value":223},{"alpha_index":1092,"clock_position":1092,"value":144},{"alpha_index":1460,"clock_position":1460,"value":223},{"alpha_index":1828,"clock_position":1828,"value":511},{"alpha_index":2196,"clock_position":2196,"value":590}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-357","alpha_indices":[357,725,1093,1461,1829,2197],"clock_positions":[357,725,1093,1461,1829,2197],"native_values":[278,89,645,456,645,89],"rotation_degrees":58.20652173913044,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":357,"clock_position":357,"value":278},{"alpha_index":725,"clock_position":725,"value":89},{"alpha_index":1093,"clock_position":1093,"value":645},{"alpha_index":1461,"clock_position":1461,"value":456},{"alpha_index":1829,"clock_position":1829,"value":645},{"alpha_index":2197,"clock_position":2197,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-358","alpha_indices":[358,726,1094,1462,1830,2198],"clock_positions":[358,726,1094,1462,1830,2198],"native_values":[55,312,55,679,422,679],"rotation_degrees":58.369565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":358,"clock_position":358,"value":55},{"alpha_index":726,"clock_position":726,"value":312},{"alpha_index":1094,"clock_position":1094,"value":55},{"alpha_index":1462,"clock_position":1462,"value":679},{"alpha_index":1830,"clock_position":1830,"value":422},{"alpha_index":2198,"clock_position":2198,"value":679}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-359","alpha_indices":[359,727,1095,1463,1831,2199],"clock_positions":[359,727,1095,1463,1831,2199],"native_values":[333,401,700,401,333,34],"rotation_degrees":58.53260869565217,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":359,"clock_position":359,"value":333},{"alpha_index":727,"clock_position":727,"value":401},{"alpha_index":1095,"clock_position":1095,"value":700},{"alpha_index":1463,"clock_position":1463,"value":401},{"alpha_index":1831,"clock_position":1831,"value":333},{"alpha_index":2199,"clock_position":2199,"value":34}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-360","alpha_indices":[360,728,1096,1464,1832,2200],"clock_positions":[360,728,1096,1464,1832,2200],"native_values":[388,713,21,346,21,713],"rotation_degrees":58.69565217391305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":360,"clock_position":360,"value":388},{"alpha_index":728,"clock_position":728,"value":713},{"alpha_index":1096,"clock_position":1096,"value":21},{"alpha_index":1464,"clock_position":1464,"value":346},{"alpha_index":1832,"clock_position":1832,"value":21},{"alpha_index":2200,"clock_position":2200,"value":713}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-361","alpha_indices":[361,729,1097,1465,1833,2201],"clock_positions":[361,729,1097,1465,1833,2201],"native_values":[721,380,721,13,354,13],"rotation_degrees":58.858695652173914,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":361,"clock_position":361,"value":721},{"alpha_index":729,"clock_position":729,"value":380},{"alpha_index":1097,"clock_position":1097,"value":721},{"alpha_index":1465,"clock_position":1465,"value":13},{"alpha_index":1833,"clock_position":1833,"value":354},{"alpha_index":2201,"clock_position":2201,"value":13}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-362","alpha_indices":[362,730,1098,1466,1834,2202],"clock_positions":[362,730,1098,1466,1834,2202],"native_values":[375,359,8,359,375,726],"rotation_degrees":59.02173913043478,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":362,"clock_position":362,"value":375},{"alpha_index":730,"clock_position":730,"value":359},{"alpha_index":1098,"clock_position":1098,"value":8},{"alpha_index":1466,"clock_position":1466,"value":359},{"alpha_index":1834,"clock_position":1834,"value":375},{"alpha_index":2202,"clock_position":2202,"value":726}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-363","alpha_indices":[363,731,1099,1467,1835,2203],"clock_positions":[363,731,1099,1467,1835,2203],"native_values":[362,5,729,372,729,5],"rotation_degrees":59.18478260869565,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":363,"clock_position":363,"value":362},{"alpha_index":731,"clock_position":731,"value":5},{"alpha_index":1099,"clock_position":1099,"value":729},{"alpha_index":1467,"clock_position":1467,"value":372},{"alpha_index":1835,"clock_position":1835,"value":729},{"alpha_index":2203,"clock_position":2203,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-364","alpha_indices":[364,732,1100,1468,1836,2204],"clock_positions":[364,732,1100,1468,1836,2204],"native_values":[3,364,3,731,370,731],"rotation_degrees":59.34782608695652,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":732,"clock_position":732,"value":364},{"alpha_index":1468,"clock_position":1468,"value":731},{"alpha_index":1836,"clock_position":1836,"value":370},{"alpha_index":2204,"clock_position":2204,"value":731}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-365","alpha_indices":[365,733,1101,1469,1837,2205],"clock_positions":[365,733,1101,1469,1837,2205],"native_values":[365,369,732,369,365,2],"rotation_degrees":59.51086956521739,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":365,"clock_position":365,"value":365},{"alpha_index":733,"clock_position":733,"value":369},{"alpha_index":1101,"clock_position":1101,"value":732},{"alpha_index":1469,"clock_position":1469,"value":369},{"alpha_index":1837,"clock_position":1837,"value":365},{"alpha_index":2205,"clock_position":2205,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-366","alpha_indices":[366,734,1102,1470,1838,2206],"clock_positions":[366,734,1102,1470,1838,2206],"native_values":[368,733,1,366,1,733],"rotation_degrees":59.67391304347826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":366,"clock_position":366,"value":368},{"alpha_index":734,"clock_position":734,"value":733},{"alpha_index":1102,"clock_position":1102,"value":1},{"alpha_index":1470,"clock_position":1470,"value":366},{"alpha_index":1838,"clock_position":1838,"value":1},{"alpha_index":2206,"clock_position":2206,"value":733}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-367","alpha_indices":[367,735,1103,1471,1839,2207],"clock_positions":[367,735,1103,1471,1839,2207],"native_values":[733,368,733,1,366,1],"rotation_degrees":59.83695652173913,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":367,"clock_position":367,"value":733},{"alpha_index":735,"clock_position":735,"value":368},{"alpha_index":1103,"clock_position":1103,"value":733},{"alpha_index":1471,"clock_position":1471,"value":1},{"alpha_index":1839,"clock_position":1839,"value":366},{"alpha_index":2207,"clock_position":2207,"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/m734/alpha.svg","png":"pilot-v1/views/m734/alpha.png"},{"id":"beta","name":"Beta","svg":"pilot-v1/views/m734/beta.svg","png":"pilot-v1/views/m734/beta.png"},{"id":"gamma","name":"Gamma","svg":"pilot-v1/views/m734/gamma.svg","png":"pilot-v1/views/m734/gamma.png"},{"id":"fibonacci-m734p2208","name":"Fibonacci M734P2208","svg":"pilot-v1/views/m734/fibonacci-m734p2208.svg","png":"pilot-v1/views/m734/fibonacci-m734p2208.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}}