{"schema_version":"2.3.0","dataset_version":"m1-m1001-v1","id":"fibonacci-m983-p1968","name":"Fibonacci M983P1968","modulus":983,"pisano_period":1968,"conventions":{"index_origin":0,"clock_labels":[1968,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967],"orientation":"clockwise from north","zero_display":983,"alpha_circle_positions":1968,"beta_circle_positions":983,"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":[0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,4,614,618,249,867,133,17,150,167,317,484,801,302,120,422,542,964,523,504,44,548,592,157,749,906,672,595,284,879,180,76,256,332,588,920,525,462,4,466,470,936,423,376,799,192,8,200,208,408,616,41,657,698,372,87,459,546,22,568,590,175,765,940,722,679,418,114,532,646,195,841,53,894,947,858,822,697,536,250,786,53,839,892,748,657,422,96,518,614,149,763,912,692,621,330,951,298,266,564,830,411,258,669,927,613,557,187,744,931,692,640,349,6,355,361,716,94,810,904,731,652,400,69,469,538,24,562,586,165,751,916,684,617,318,935,270,222,492,714,223,937,177,131,308,439,747,203,950,170,137,307,444,751,212,963,192,172,364,536,900,453,370,823,210,50,260,310,570,880,467,364,831,212,60,272,332,604,936,557,510,84,594,678,289,967,273,257,530,787,334,138,472,610,99,709,808,534,359,893,269,179,448,627,92,719,811,547,375,922,314,253,567,820,404,241,645,886,548,451,16,467,483,950,450,417,867,301,185,486,671,174,845,36,881,917,815,749,581,347,928,292,237,529,766,312,95,407,502,909,428,354,782,153,935,105,57,162,219,381,600,981,598,596,211,807,35,842,877,736,630,383,30,413,443,856,316,189,505,694,216,910,143,70,213,283,496,779,292,88,380,468,848,333,198,531,729,277,23,300,323,623,946,586,549,152,701,853,571,441,29,470,499,969,485,471,956,444,417,861,295,173,468,641,126,767,893,677,587,281,868,166,51,217,268,485,753,255,25,280,305,585,890,492,399,891,307,215,522,737,276,30,306,336,642,978,637,632,286,918,221,156,377,533,910,460,387,847,251,115,366,481,847,345,209,554,763,334,114,448,562,27,589,616,222,838,77,915,9,924,933,874,824,715,556,288,844,149,10,159,169,328,497,825,339,181,520,701,238,939,194,150,344,494,838,349,204,553,757,327,101,428,529,957,503,477,980,474,471,945,433,395,828,240,85,325,410,735,162,897,76,973,66,56,122,178,300,478,778,273,68,341,409,750,176,926,119,62,181,243,424,667,108,775,883,675,575,267,842,126,968,111,96,207,303,510,813,340,170,510,680,207,887,111,15,126,141,267,408,675,100,775,875,667,559,243,802,62,864,926,807,750,574,341,915,273,205,478,683,178,861,56,917,973,907,897,821,735,573,325,898,240,155,395,550,945,512,474,3,477,480,957,454,428,882,327,226,553,779,349,145,494,639,150,789,939,745,701,463,181,644,825,486,328,814,159,973,149,139,288,427,715,159,874,50,924,974,915,906,838,761,616,394,27,421,448,869,334,220,554,774,345,136,481,617,115,732,847,596,460,73,533,606,156,762,918,697,632,346,978,341,336,677,30,707,737,461,215,676,891,584,492,93,585,678,280,958,255,230,485,715,217,932,166,115,281,396,677,90,767,857,641,515,173,688,861,566,444,27,471,498,969,484,470,954,441,412,853,282,152,434,586,37,623,660,300,960,277,254,531,785,333,135,468,603,88,691,779,487,283,770,70,840,910,767,694,478,189,667,856,540,413,953,383,353,736,106,842,948,807,772,596,385,981,383,381,764,162,926,105,48,153,201,354,555,909,481,407,888,312,217,529,746,292,55,347,402,749,168,917,102,36,138,174,312,486,798,301,116,417,533,950,500,467,967,451,435,886,338,241,579,820,416,253,669,922,608,547,172,719,891,627,535,179,714,893,624,534,175,709,884,610,511,138,649,787,453,257,710,967,694,678,389,84,473,557,47,604,651,272,923,212,152,364,516,880,413,310,723,50,773,823,613,453,83,536,619,172,791,963,771,751,539,307,846,170,33,203,236,439,675,131,806,937,760,714,491,222,713,935,665,617,299,916,232,165,397,562,959,538,514,69,583,652,252,904,173,94,267,361,628,6,634,640,291,931,239,187,426,613,56,669,725,411,153,564,717,298,32,330,362,692,71,763,834,614,465,96,561,657,235,892,144,53,197,250,447,697,161,858,36,894,930,841,788,646,451,114,565,679,261,940,218,175,393,568,961,546,524,87,611,698,326,41,367,408,775,200,975,192,184,376,560,936,513,466,979,462,458,920,395,332,727,76,803,879,699,595,311,906,234,157,391,548,939,504,460,964,441,422,863,302,182,484,666,167,833,17,850,867,734,618,369,4,373,377,750,144,894,55,949,21,970,8,978,3,981,1,982,0,982,982,981,980,978,975,970,962,949,928,894,839,750,606,373,979,369,365,734,116,850,966,833,816,666,499,182,681,863,561,441,19,460,479,939,435,391,826,234,77,311,388,699,104,803,907,727,651,395,63,458,521,979,517,513,47,560,607,184,791,975,783,775,575,367,942,326,285,611,896,524,437,961,415,393,808,218,43,261,304,565,869,451,337,788,142,930,89,36,125,161,286,447,733,197,930,144,91,235,326,561,887,465,369,834,220,71,291,362,653,32,685,717,419,153,572,725,314,56,370,426,796,239,52,291,343,634,977,628,622,267,889,173,79,252,331,583,914,514,445,959,421,397,818,232,67,299,366,665,48,713,761,491,269,760,46,806,852,675,544,236,780,33,813,846,676,539,232,771,20,791,811,619,447,83,530,613,160,773,933,723,673,413,103,516,619,152,771,923,711,651,379,47,426,473,899,389,305,694,16,710,726,453,196,649,845,511,373,884,274,175,449,624,90,714,804,535,356,891,264,172,436,608,61,669,730,416,163,579,742,338,97,435,532,967,516,500,33,533,566,116,682,798,497,312,809,138,947,102,66,168,234,402,636,55,691,746,454,217,671,888,576,481,74,555,629,201,830,48,878,926,821,764,602,383,2,385,387,772,176,948,141,106,247,353,600,953,570,540,127,667,794,478,289,767,73,840,913,770,700,487,204,691,895,603,515,135,650,785,452,254,706,960,683,660,360,37,397,434,831,282,130,412,542,954,513,484,14,498,512,27,539,566,122,688,810,515,342,857,216,90,306,396,702,115,817,932,766,715,498,230,728,958,703,678,398,93,491,584,92,676,768,461,246,707,953,677,647,341,5,346,351,697,65,762,827,606,450,73,523,596,136,732,868,617,502,136,638,774,429,220,649,869,535,421,956,394,367,761,145,906,68,974,59,50,109,159,268,427,695,139,834,973,824,814,655,486,158,644,802,463,282,745,44,789,833,639,489,145,634,779,430,226,656,882,555,454,26,480,506,3,509,512,38,550,588,155,743,898,658,573,248,821,86,907,10,917,927,861,805,683,505,205,710,915,642,574,233,807,57,864,921,802,740,559,316,875,208,100,308,408,716,141,857,15,872,887,776,680,473,170,643,813,473,303,776,96,872,968,857,842,716,575,308,883,208,108,316,424,740,181,921,119,57,176,233,409,642,68,710,778,505,300,805,122,927,66,10,76,86,162,248,410,658,85,743,828,588,433,38,471,509,980,506,503,26,529,555,101,656,757,430,204,634,838,489,344,833,194,44,238,282,520,802,339,158,497,655,169,824,10,834,844,695,556,268,824,109,933,59,9,68,77,145,222,367,589,956,562,535,114,649,763,429,209,638,847,502,366,868,251,136,387,523,910,450,377,827,221,65,286,351,637,5,642,647,306,953,276,246,522,768,307,92,399,491,890,398,305,703,25,728,753,498,268,766,51,817,868,702,587,306,893,216,126,342,468,810,295,122,417,539,956,512,485,14,499,513,29,542,571,130,701,831,549,397,946,360,323,683,23,706,729,452,198,650,848,515,380,895,292,204,496,700,213,913,143,73,216,289,505,794,316,127,443,570,30,600,630,247,877,141,35,176,211,387,598,2,600,602,219,821,57,878,935,830,782,629,428,74,502,576,95,671,766,454,237,691,928,636,581,234,815,66,881,947,845,809,671,497,185,682,867,566,450,33,483,516,16,532,548,97,645,742,404,163,567,730,314,61,375,436,811,264,92,356,448,804,269,90,359,449,808,274,99,373,472,845,334,196,530,726,273,16,289,305,594,899,510,426,936,379,332,711,60,771,831,619,467,103,570,673,260,933,210,160,370,530,900,447,364,811,192,20,212,232,444,676,137,813,950,780,747,544,308,852,177,46,223,269,492,761,270,48,318,366,684,67,751,818,586,421,24,445,469,914,400,331,731,79,810,889,716,622,355,977,349,343,692,52,744,796,557,370,927,314,258,572,830,419,266,685,951,653,621,291,912,220,149,369,518,887,422,326,748,91,839,930,786,733,536,286,822,125,947,89,53,142,195,337,532,869,418,304,722,43,765,808,590,415,22,437,459,896,372,285,657,942,616,575,208,783,8,791,799,607,423,47,470,517,4,521,525,63,588,651,256,907,180,104,284,388,672,77,749,826,592,435,44,479,523,19,542,561,120,681,801,499,317,816,150,966,133,116,249,365,614,979,610,606,233,839,89,928,34,962,13,975,5,980,2,982,1],"display_values":[983,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,4,614,618,249,867,133,17,150,167,317,484,801,302,120,422,542,964,523,504,44,548,592,157,749,906,672,595,284,879,180,76,256,332,588,920,525,462,4,466,470,936,423,376,799,192,8,200,208,408,616,41,657,698,372,87,459,546,22,568,590,175,765,940,722,679,418,114,532,646,195,841,53,894,947,858,822,697,536,250,786,53,839,892,748,657,422,96,518,614,149,763,912,692,621,330,951,298,266,564,830,411,258,669,927,613,557,187,744,931,692,640,349,6,355,361,716,94,810,904,731,652,400,69,469,538,24,562,586,165,751,916,684,617,318,935,270,222,492,714,223,937,177,131,308,439,747,203,950,170,137,307,444,751,212,963,192,172,364,536,900,453,370,823,210,50,260,310,570,880,467,364,831,212,60,272,332,604,936,557,510,84,594,678,289,967,273,257,530,787,334,138,472,610,99,709,808,534,359,893,269,179,448,627,92,719,811,547,375,922,314,253,567,820,404,241,645,886,548,451,16,467,483,950,450,417,867,301,185,486,671,174,845,36,881,917,815,749,581,347,928,292,237,529,766,312,95,407,502,909,428,354,782,153,935,105,57,162,219,381,600,981,598,596,211,807,35,842,877,736,630,383,30,413,443,856,316,189,505,694,216,910,143,70,213,283,496,779,292,88,380,468,848,333,198,531,729,277,23,300,323,623,946,586,549,152,701,853,571,441,29,470,499,969,485,471,956,444,417,861,295,173,468,641,126,767,893,677,587,281,868,166,51,217,268,485,753,255,25,280,305,585,890,492,399,891,307,215,522,737,276,30,306,336,642,978,637,632,286,918,221,156,377,533,910,460,387,847,251,115,366,481,847,345,209,554,763,334,114,448,562,27,589,616,222,838,77,915,9,924,933,874,824,715,556,288,844,149,10,159,169,328,497,825,339,181,520,701,238,939,194,150,344,494,838,349,204,553,757,327,101,428,529,957,503,477,980,474,471,945,433,395,828,240,85,325,410,735,162,897,76,973,66,56,122,178,300,478,778,273,68,341,409,750,176,926,119,62,181,243,424,667,108,775,883,675,575,267,842,126,968,111,96,207,303,510,813,340,170,510,680,207,887,111,15,126,141,267,408,675,100,775,875,667,559,243,802,62,864,926,807,750,574,341,915,273,205,478,683,178,861,56,917,973,907,897,821,735,573,325,898,240,155,395,550,945,512,474,3,477,480,957,454,428,882,327,226,553,779,349,145,494,639,150,789,939,745,701,463,181,644,825,486,328,814,159,973,149,139,288,427,715,159,874,50,924,974,915,906,838,761,616,394,27,421,448,869,334,220,554,774,345,136,481,617,115,732,847,596,460,73,533,606,156,762,918,697,632,346,978,341,336,677,30,707,737,461,215,676,891,584,492,93,585,678,280,958,255,230,485,715,217,932,166,115,281,396,677,90,767,857,641,515,173,688,861,566,444,27,471,498,969,484,470,954,441,412,853,282,152,434,586,37,623,660,300,960,277,254,531,785,333,135,468,603,88,691,779,487,283,770,70,840,910,767,694,478,189,667,856,540,413,953,383,353,736,106,842,948,807,772,596,385,981,383,381,764,162,926,105,48,153,201,354,555,909,481,407,888,312,217,529,746,292,55,347,402,749,168,917,102,36,138,174,312,486,798,301,116,417,533,950,500,467,967,451,435,886,338,241,579,820,416,253,669,922,608,547,172,719,891,627,535,179,714,893,624,534,175,709,884,610,511,138,649,787,453,257,710,967,694,678,389,84,473,557,47,604,651,272,923,212,152,364,516,880,413,310,723,50,773,823,613,453,83,536,619,172,791,963,771,751,539,307,846,170,33,203,236,439,675,131,806,937,760,714,491,222,713,935,665,617,299,916,232,165,397,562,959,538,514,69,583,652,252,904,173,94,267,361,628,6,634,640,291,931,239,187,426,613,56,669,725,411,153,564,717,298,32,330,362,692,71,763,834,614,465,96,561,657,235,892,144,53,197,250,447,697,161,858,36,894,930,841,788,646,451,114,565,679,261,940,218,175,393,568,961,546,524,87,611,698,326,41,367,408,775,200,975,192,184,376,560,936,513,466,979,462,458,920,395,332,727,76,803,879,699,595,311,906,234,157,391,548,939,504,460,964,441,422,863,302,182,484,666,167,833,17,850,867,734,618,369,4,373,377,750,144,894,55,949,21,970,8,978,3,981,1,982,983,982,982,981,980,978,975,970,962,949,928,894,839,750,606,373,979,369,365,734,116,850,966,833,816,666,499,182,681,863,561,441,19,460,479,939,435,391,826,234,77,311,388,699,104,803,907,727,651,395,63,458,521,979,517,513,47,560,607,184,791,975,783,775,575,367,942,326,285,611,896,524,437,961,415,393,808,218,43,261,304,565,869,451,337,788,142,930,89,36,125,161,286,447,733,197,930,144,91,235,326,561,887,465,369,834,220,71,291,362,653,32,685,717,419,153,572,725,314,56,370,426,796,239,52,291,343,634,977,628,622,267,889,173,79,252,331,583,914,514,445,959,421,397,818,232,67,299,366,665,48,713,761,491,269,760,46,806,852,675,544,236,780,33,813,846,676,539,232,771,20,791,811,619,447,83,530,613,160,773,933,723,673,413,103,516,619,152,771,923,711,651,379,47,426,473,899,389,305,694,16,710,726,453,196,649,845,511,373,884,274,175,449,624,90,714,804,535,356,891,264,172,436,608,61,669,730,416,163,579,742,338,97,435,532,967,516,500,33,533,566,116,682,798,497,312,809,138,947,102,66,168,234,402,636,55,691,746,454,217,671,888,576,481,74,555,629,201,830,48,878,926,821,764,602,383,2,385,387,772,176,948,141,106,247,353,600,953,570,540,127,667,794,478,289,767,73,840,913,770,700,487,204,691,895,603,515,135,650,785,452,254,706,960,683,660,360,37,397,434,831,282,130,412,542,954,513,484,14,498,512,27,539,566,122,688,810,515,342,857,216,90,306,396,702,115,817,932,766,715,498,230,728,958,703,678,398,93,491,584,92,676,768,461,246,707,953,677,647,341,5,346,351,697,65,762,827,606,450,73,523,596,136,732,868,617,502,136,638,774,429,220,649,869,535,421,956,394,367,761,145,906,68,974,59,50,109,159,268,427,695,139,834,973,824,814,655,486,158,644,802,463,282,745,44,789,833,639,489,145,634,779,430,226,656,882,555,454,26,480,506,3,509,512,38,550,588,155,743,898,658,573,248,821,86,907,10,917,927,861,805,683,505,205,710,915,642,574,233,807,57,864,921,802,740,559,316,875,208,100,308,408,716,141,857,15,872,887,776,680,473,170,643,813,473,303,776,96,872,968,857,842,716,575,308,883,208,108,316,424,740,181,921,119,57,176,233,409,642,68,710,778,505,300,805,122,927,66,10,76,86,162,248,410,658,85,743,828,588,433,38,471,509,980,506,503,26,529,555,101,656,757,430,204,634,838,489,344,833,194,44,238,282,520,802,339,158,497,655,169,824,10,834,844,695,556,268,824,109,933,59,9,68,77,145,222,367,589,956,562,535,114,649,763,429,209,638,847,502,366,868,251,136,387,523,910,450,377,827,221,65,286,351,637,5,642,647,306,953,276,246,522,768,307,92,399,491,890,398,305,703,25,728,753,498,268,766,51,817,868,702,587,306,893,216,126,342,468,810,295,122,417,539,956,512,485,14,499,513,29,542,571,130,701,831,549,397,946,360,323,683,23,706,729,452,198,650,848,515,380,895,292,204,496,700,213,913,143,73,216,289,505,794,316,127,443,570,30,600,630,247,877,141,35,176,211,387,598,2,600,602,219,821,57,878,935,830,782,629,428,74,502,576,95,671,766,454,237,691,928,636,581,234,815,66,881,947,845,809,671,497,185,682,867,566,450,33,483,516,16,532,548,97,645,742,404,163,567,730,314,61,375,436,811,264,92,356,448,804,269,90,359,449,808,274,99,373,472,845,334,196,530,726,273,16,289,305,594,899,510,426,936,379,332,711,60,771,831,619,467,103,570,673,260,933,210,160,370,530,900,447,364,811,192,20,212,232,444,676,137,813,950,780,747,544,308,852,177,46,223,269,492,761,270,48,318,366,684,67,751,818,586,421,24,445,469,914,400,331,731,79,810,889,716,622,355,977,349,343,692,52,744,796,557,370,927,314,258,572,830,419,266,685,951,653,621,291,912,220,149,369,518,887,422,326,748,91,839,930,786,733,536,286,822,125,947,89,53,142,195,337,532,869,418,304,722,43,765,808,590,415,22,437,459,896,372,285,657,942,616,575,208,783,8,791,799,607,423,47,470,517,4,521,525,63,588,651,256,907,180,104,284,388,672,77,749,826,592,435,44,479,523,19,542,561,120,681,801,499,317,816,150,966,133,116,249,365,614,979,610,606,233,839,89,928,34,962,13,975,5,980,2,982,1]},"gamma":{"alpha_indices":[0,4,8,12,18,19,20,23,27,29,34,40,41,44,45,49,51,52,56,57,60,64,67,69,70,71,72,77,82,85,88,90,91,95,100,102,107,109,110,111,114,116,117,118,119,123,128,133,138,141,144,147,149,151,152,153,154,157,161,167,170,171,175,176,179,183,187,189,193,195,196,197,198,201,206,209,212,218,223,227,231,237,239,240,241,244,246,248,257,260,264,266,268,270,271,272,273,274,275,276,280,285,287,292,295,299,306,308,309,310,311,314,319,324,328,330,332,333,334,337,339,347,351,352,356,358,359,360,363,365,366,367,368,369,370,374,376,381,385,388,393,396,399,402,403,404,405,410,414,418,419,424,426,431,434,438,440,442,443,444,447,448,452,453,454,457,461,464,468,474,477,480,482,484,486,487,488,489,490,491,494,496,498,499,500,501,502,503,504,510,513,515,516,519,520,525,530,532,533,536,540,542,543,544,545,546,549,550,557,558,559,560,566,567,570,574,577,580,582,583,588,595,596,601,607,608,609,610,614,616,618,624,626,627,628,629,632,641,643,650,652,653,654,655,656,659,660,663,669,670,671,674,676,677,678,679,687,692,695,703,704,708,710,712,714,715,716,717,718,719,720,723,724,731,733,735,736,737,738,739,740,741,744,751,755,759,765,766,769,771,772,778,781,786,788,793,799,803,808,814,815,819,821,825,830,832,840,846,849,853,856,859,863,866,868,869,870,871,874,879,881,882,883,884,887,891,894,895,896,897,902,905,909,912,914,920,923,924,928,929,932,940,941,944,945,949,950,953,959,964,966,967,971,972,973,976,979,980,981,984,987,989,990,995,997,998,1001,1006,1008,1009,1012,1014,1015,1019,1020,1023,1027,1032,1034,1039,1045,1046,1050,1052,1059,1063,1071,1073,1077,1080,1081,1085,1087,1088,1089,1092,1097,1099,1105,1109,1115,1119,1132,1134,1142,1143,1146,1147,1148,1149,1153,1158,1164,1165,1169,1172,1174,1175,1178,1186,1187,1197,1198,1199,1200,1203,1204,1209,1213,1217,1220,1222,1227,1229,1231,1233,1234,1235,1236,1237,1238,1245,1246,1249,1251,1253,1262,1265,1266,1270,1272,1273,1281,1286,1289,1291,1297,1299,1300,1304,1305,1309,1310,1313,1315,1320,1322,1324,1325,1326,1327,1328,1334,1339,1341,1346,1348,1356,1359,1361,1362,1367,1373,1374,1385,1391,1396,1401,1406,1409,1411,1412,1419,1420,1423,1425,1430,1435,1442,1443,1449,1450,1453,1454,1455,1456,1465,1467,1469,1477,1479,1481,1491,1496,1498,1502,1507,1510,1511,1515,1521,1522,1525,1532,1537,1540,1546,1549,1556,1563,1565,1569,1575,1578,1583,1587,1590,1596,1599,1601,1603,1604,1605,1606,1609,1617,1618,1621,1624,1626,1628,1629,1630,1631,1632,1635,1642,1648,1649,1652,1657,1659,1666,1669,1673,1680,1681,1682,1683,1686,1690,1693,1695,1697,1706,1711,1714,1716,1718,1727,1729,1730,1731,1732,1737,1741,1745,1748,1752,1754,1759,1766,1767,1771,1773,1774,1775,1778,1779,1780,1781,1785,1788,1789,1793,1794,1797,1801,1804,1806,1807,1810,1811,1815,1817,1818,1819,1820,1821,1827,1835,1845,1849,1851,1857,1859,1860,1861,1864,1872,1873,1877,1883,1891,1897,1899,1900,1901,1902,1906,1911,1917,1918,1919,1920,1923,1927,1932,1938,1939,1940,1941,1944,1945,1946,1949,1954,1962],"clock_positions":[1968,4,8,12,18,19,20,23,27,29,34,40,41,44,45,49,51,52,56,57,60,64,67,69,70,71,72,77,82,85,88,90,91,95,100,102,107,109,110,111,114,116,117,118,119,123,128,133,138,141,144,147,149,151,152,153,154,157,161,167,170,171,175,176,179,183,187,189,193,195,196,197,198,201,206,209,212,218,223,227,231,237,239,240,241,244,246,248,257,260,264,266,268,270,271,272,273,274,275,276,280,285,287,292,295,299,306,308,309,310,311,314,319,324,328,330,332,333,334,337,339,347,351,352,356,358,359,360,363,365,366,367,368,369,370,374,376,381,385,388,393,396,399,402,403,404,405,410,414,418,419,424,426,431,434,438,440,442,443,444,447,448,452,453,454,457,461,464,468,474,477,480,482,484,486,487,488,489,490,491,494,496,498,499,500,501,502,503,504,510,513,515,516,519,520,525,530,532,533,536,540,542,543,544,545,546,549,550,557,558,559,560,566,567,570,574,577,580,582,583,588,595,596,601,607,608,609,610,614,616,618,624,626,627,628,629,632,641,643,650,652,653,654,655,656,659,660,663,669,670,671,674,676,677,678,679,687,692,695,703,704,708,710,712,714,715,716,717,718,719,720,723,724,731,733,735,736,737,738,739,740,741,744,751,755,759,765,766,769,771,772,778,781,786,788,793,799,803,808,814,815,819,821,825,830,832,840,846,849,853,856,859,863,866,868,869,870,871,874,879,881,882,883,884,887,891,894,895,896,897,902,905,909,912,914,920,923,924,928,929,932,940,941,944,945,949,950,953,959,964,966,967,971,972,973,976,979,980,981,984,987,989,990,995,997,998,1001,1006,1008,1009,1012,1014,1015,1019,1020,1023,1027,1032,1034,1039,1045,1046,1050,1052,1059,1063,1071,1073,1077,1080,1081,1085,1087,1088,1089,1092,1097,1099,1105,1109,1115,1119,1132,1134,1142,1143,1146,1147,1148,1149,1153,1158,1164,1165,1169,1172,1174,1175,1178,1186,1187,1197,1198,1199,1200,1203,1204,1209,1213,1217,1220,1222,1227,1229,1231,1233,1234,1235,1236,1237,1238,1245,1246,1249,1251,1253,1262,1265,1266,1270,1272,1273,1281,1286,1289,1291,1297,1299,1300,1304,1305,1309,1310,1313,1315,1320,1322,1324,1325,1326,1327,1328,1334,1339,1341,1346,1348,1356,1359,1361,1362,1367,1373,1374,1385,1391,1396,1401,1406,1409,1411,1412,1419,1420,1423,1425,1430,1435,1442,1443,1449,1450,1453,1454,1455,1456,1465,1467,1469,1477,1479,1481,1491,1496,1498,1502,1507,1510,1511,1515,1521,1522,1525,1532,1537,1540,1546,1549,1556,1563,1565,1569,1575,1578,1583,1587,1590,1596,1599,1601,1603,1604,1605,1606,1609,1617,1618,1621,1624,1626,1628,1629,1630,1631,1632,1635,1642,1648,1649,1652,1657,1659,1666,1669,1673,1680,1681,1682,1683,1686,1690,1693,1695,1697,1706,1711,1714,1716,1718,1727,1729,1730,1731,1732,1737,1741,1745,1748,1752,1754,1759,1766,1767,1771,1773,1774,1775,1778,1779,1780,1781,1785,1788,1789,1793,1794,1797,1801,1804,1806,1807,1810,1811,1815,1817,1818,1819,1820,1821,1827,1835,1845,1849,1851,1857,1859,1860,1861,1864,1872,1873,1877,1883,1891,1897,1899,1900,1901,1902,1906,1911,1917,1918,1919,1920,1923,1927,1932,1938,1939,1940,1941,1944,1945,1946,1949,1954,1962],"clockwise_values":[983,3,21,144,618,249,867,150,801,120,504,906,672,879,180,588,525,462,936,423,192,408,657,372,87,459,546,765,114,195,894,858,822,786,657,96,912,621,330,951,564,411,258,669,927,744,6,810,69,24,165,684,318,270,222,492,714,177,747,444,963,192,900,453,210,570,831,60,936,510,84,594,678,273,138,99,534,627,375,567,645,483,450,417,867,486,174,36,237,312,909,354,153,105,57,162,219,381,600,981,807,630,30,189,216,213,468,333,198,531,729,300,549,441,969,471,444,417,861,468,126,51,753,255,585,492,399,891,522,276,30,306,336,642,978,918,156,387,366,345,114,27,222,915,9,924,933,288,159,825,339,939,150,204,327,957,477,474,471,945,828,240,735,162,897,66,300,273,750,243,108,675,267,126,111,96,207,303,510,813,510,207,111,15,126,141,267,408,675,243,864,807,750,915,273,861,897,735,573,240,945,474,3,477,480,957,882,327,639,150,789,939,825,486,159,288,159,924,915,906,27,774,345,732,606,156,762,918,978,336,30,891,492,93,585,678,255,396,90,861,444,27,471,498,969,954,441,282,660,300,960,531,333,135,468,603,840,189,540,948,807,981,381,162,105,48,153,201,354,555,909,888,312,402,168,102,36,138,174,312,486,798,417,435,579,669,891,627,714,624,534,138,453,678,84,651,516,723,453,963,771,846,33,675,714,222,165,69,252,267,6,291,426,669,411,153,564,717,330,834,465,96,561,657,144,447,858,36,894,930,114,261,393,546,87,408,975,192,936,513,462,879,699,906,234,939,504,441,666,867,618,369,750,144,894,21,978,3,981,983,981,978,975,894,750,606,369,966,816,666,681,561,441,939,435,234,699,651,63,513,975,783,942,285,393,261,930,36,447,930,144,561,465,369,834,291,717,153,426,291,267,252,366,48,852,675,780,33,813,846,771,447,933,723,516,771,711,651,426,726,453,624,90,714,804,891,264,669,579,435,516,33,798,312,138,102,66,168,234,402,636,888,576,555,201,48,387,948,141,600,570,540,840,204,603,135,960,660,360,831,282,954,513,498,27,810,342,216,90,306,396,702,498,678,93,768,246,351,762,606,450,732,774,429,906,159,834,486,282,789,639,489,882,555,480,3,588,573,927,861,915,642,807,57,864,921,408,141,15,813,303,96,108,921,57,642,300,927,66,162,828,588,471,555,204,489,282,339,834,933,9,222,114,429,366,387,450,351,642,306,276,246,522,768,399,753,498,51,702,306,216,126,342,468,810,417,513,831,549,360,729,198,204,213,216,570,30,600,630,141,387,600,219,57,576,237,636,234,66,867,450,33,483,516,645,567,375,264,804,90,99,726,273,594,510,426,936,711,60,771,831,570,933,210,900,447,192,444,813,780,747,852,177,492,270,48,318,366,684,24,810,744,927,258,951,621,291,912,369,930,786,822,195,765,459,372,285,657,942,783,423,525,63,588,651,180,672,435,561,120,681,801,816,150,966,249,606,975],"triangle_paths":[]},"beta":{"interval_sums":[4,26,178,1838,0,0,150,968,302,2451,2090,0,879,0,664,920,0,940,0,1175,416,657,698,0,0,0,1355,2759,1178,894,947,0,1483,2532,422,2044,692,0,0,564,830,0,0,0,1357,2612,1526,2687,1007,1148,1667,617,935,0,0,0,1160,878,1767,963,0,1072,0,1193,620,1711,212,1208,557,0,0,0,1256,1908,1082,1517,2148,2169,1489,1465,2368,950,0,0,486,671,845,5510,1295,1004,428,782,935,0,0,0,0,0,0,1405,2490,383,2028,1199,1123,2318,848,0,0,0,300,2478,2277,998,485,956,0,0,468,641,4239,970,0,610,890,0,0,522,737,0,0,0,0,0,1555,221,2280,1213,1328,1860,1010,1205,915,0,0,0,2969,1003,994,0,1640,194,2025,1310,1058,503,980,0,0,828,0,820,0,0,1049,356,1256,818,1464,1091,1658,575,842,968,0,0,0,0,0,510,680,887,0,0,0,0,0,0,2976,864,926,0,915,0,1544,2853,821,0,1223,1100,512,0,0,0,0,882,0,2546,0,0,0,2734,0,1142,1261,1142,924,974,0,2609,2846,0,1349,2509,0,0,0,1675,341,677,2796,584,0,0,0,1238,3141,677,3641,566,0,0,0,0,954,0,1265,1832,0,0,531,785,0,0,0,3168,2849,1523,3786,0,1753,383,764,926,0,0,0,0,0,0,888,0,2186,749,917,0,0,0,0,0,0,417,3868,1465,1489,2968,0,714,893,0,2889,1436,2628,389,1681,1923,1603,2259,2201,0,1597,170,878,2634,491,4377,2970,1235,1171,989,1274,1357,669,725,0,0,0,330,1888,614,0,0,0,1127,500,858,0,0,0,2726,1244,1333,1529,524,2043,975,0,1120,0,1445,3711,0,906,0,1096,0,1424,2253,1867,734,0,754,0,0,1004,978,0,0,983,1964,980,0,3809,839,0,1352,2065,833,0,681,863,0,958,0,1217,776,2541,395,2475,2189,0,1717,326,3844,1069,3456,89,572,930,0,652,887,0,0,291,1732,419,2037,1087,3204,1141,5980,665,3846,0,780,0,0,0,1447,2241,2159,0,1189,771,923,0,426,3486,0,4356,0,0,0,891,0,1277,1309,1177,1499,500,1897,497,809,947,0,0,0,0,0,2834,0,555,629,830,4761,948,0,706,953,0,3195,2870,1586,515,2847,683,0,868,0,1084,0,498,512,1915,515,857,0,0,0,0,3345,2619,398,1843,461,3676,762,827,0,1328,2761,0,5317,1260,1529,3266,2067,789,833,0,2870,0,480,506,1609,2454,2989,0,2908,0,807,0,0,0,3908,716,857,4501,473,776,6229,1661,119,818,2061,927,0,172,2144,0,471,3053,1944,1472,1653,1322,2313,3296,59,290,3009,1412,2196,1255,1433,1776,642,647,953,0,0,0,399,3540,0,1034,1685,587,893,0,0,0,0,417,3005,1973,0,1343,1735,452,3580,1196,1129,2474,0,0,0,1124,422,600,602,821,5058,1986,1619,581,815,5517,566,0,0,0,1193,1309,1105,1247,896,269,1890,2750,0,610,899,0,0,711,0,0,0,1189,933,0,1060,0,1175,464,813,950,0,852,0,538,761,0,0,0,0,2643,3369,4995,1723,314,2772,653,0,0,369,3831,0,1555,1356,3225,2272,896,0,0,0,1399,2205,1559,0,0,0,1163,776,2244,1607,0,0,0,816,0,0,249,2568,3098,1970],"interval_residues":[4,26,178,855,0,0,150,968,302,485,124,0,879,0,664,920,0,940,0,192,416,657,698,0,0,0,372,793,195,894,947,0,500,566,422,78,692,0,0,564,830,0,0,0,374,646,543,721,24,165,684,617,935,0,0,0,177,878,784,963,0,89,0,210,620,728,212,225,557,0,0,0,273,925,99,534,182,203,506,482,402,950,0,0,486,671,845,595,312,21,428,782,935,0,0,0,0,0,0,422,524,383,62,216,140,352,848,0,0,0,300,512,311,15,485,956,0,0,468,641,307,970,0,610,890,0,0,522,737,0,0,0,0,0,572,221,314,230,345,877,27,222,915,0,0,0,20,20,11,0,657,194,59,327,75,503,980,0,0,828,0,820,0,0,66,356,273,818,481,108,675,575,842,968,0,0,0,0,0,510,680,887,0,0,0,0,0,0,27,864,926,0,915,0,561,887,821,0,240,117,512,0,0,0,0,882,0,580,0,0,0,768,0,159,278,159,924,974,0,643,880,0,366,543,0,0,0,692,341,677,830,584,0,0,0,255,192,677,692,566,0,0,0,0,954,0,282,849,0,0,531,785,0,0,0,219,883,540,837,0,770,383,764,926,0,0,0,0,0,0,888,0,220,749,917,0,0,0,0,0,0,417,919,482,506,19,0,714,893,0,923,453,662,389,698,940,620,293,235,0,614,170,878,668,491,445,21,252,188,6,291,374,669,725,0,0,0,330,905,614,0,0,0,144,500,858,0,0,0,760,261,350,546,524,77,975,0,137,0,462,762,0,906,0,113,0,441,287,884,734,0,754,0,0,21,978,0,0,0,981,980,0,860,839,0,369,99,833,0,681,863,0,958,0,234,776,575,395,509,223,0,734,326,895,86,507,89,572,930,0,652,887,0,0,291,749,419,71,104,255,158,82,665,897,0,780,0,0,0,464,275,193,0,206,771,923,0,426,537,0,424,0,0,0,891,0,294,326,194,516,500,914,497,809,947,0,0,0,0,0,868,0,555,629,830,829,948,0,706,953,0,246,904,603,515,881,683,0,868,0,101,0,498,512,932,515,857,0,0,0,0,396,653,398,860,461,727,762,827,0,345,795,0,402,277,546,317,101,789,833,0,904,0,480,506,626,488,40,0,942,0,807,0,0,0,959,716,857,569,473,776,331,678,119,818,95,927,0,172,178,0,471,104,961,489,670,339,347,347,59,290,60,429,230,272,450,793,642,647,953,0,0,0,399,591,0,51,702,587,893,0,0,0,0,417,56,7,0,360,752,452,631,213,146,508,0,0,0,141,422,600,602,821,143,20,636,581,815,602,566,0,0,0,210,326,122,264,896,269,907,784,0,610,899,0,0,711,0,0,0,206,933,0,77,0,192,464,813,950,0,852,0,538,761,0,0,0,0,677,420,80,740,314,806,653,0,0,369,882,0,572,373,276,306,896,0,0,0,416,239,576,0,0,0,180,776,278,624,0,0,0,816,0,0,249,602,149,4],"display_cycle":[4,26,178,855,983,983,150,968,302,485,124,983,879,983,664,920,983,940,983,192,416,657,698,983,983,983,372,793,195,894,947,983,500,566,422,78,692,983,983,564,830,983,983,983,374,646,543,721,24,165,684,617,935,983,983,983,177,878,784,963,983,89,983,210,620,728,212,225,557,983,983,983,273,925,99,534,182,203,506,482,402,950,983,983,486,671,845,595,312,21,428,782,935,983,983,983,983,983,983,422,524,383,62,216,140,352,848,983,983,983,300,512,311,15,485,956,983,983,468,641,307,970,983,610,890,983,983,522,737,983,983,983,983,983,572,221,314,230,345,877,27,222,915,983,983,983,20,20,11,983,657,194,59,327,75,503,980,983,983,828,983,820,983,983,66,356,273,818,481,108,675,575,842,968,983,983,983,983,983,510,680,887,983,983,983,983,983,983,27,864,926,983,915,983,561,887,821,983,240,117,512,983,983,983,983,882,983,580,983,983,983,768,983,159,278,159,924,974,983,643,880,983,366,543,983,983,983,692,341,677,830,584,983,983,983,255,192,677,692,566,983,983,983,983,954,983,282,849,983,983,531,785,983,983,983,219,883,540,837,983,770,383,764,926,983,983,983,983,983,983,888,983,220,749,917,983,983,983,983,983,983,417,919,482,506,19,983,714,893,983,923,453,662,389,698,940,620,293,235,983,614,170,878,668,491,445,21,252,188,6,291,374,669,725,983,983,983,330,905,614,983,983,983,144,500,858,983,983,983,760,261,350,546,524,77,975,983,137,983,462,762,983,906,983,113,983,441,287,884,734,983,754,983,983,21,978,983,983,983,981,980,983,860,839,983,369,99,833,983,681,863,983,958,983,234,776,575,395,509,223,983,734,326,895,86,507,89,572,930,983,652,887,983,983,291,749,419,71,104,255,158,82,665,897,983,780,983,983,983,464,275,193,983,206,771,923,983,426,537,983,424,983,983,983,891,983,294,326,194,516,500,914,497,809,947,983,983,983,983,983,868,983,555,629,830,829,948,983,706,953,983,246,904,603,515,881,683,983,868,983,101,983,498,512,932,515,857,983,983,983,983,396,653,398,860,461,727,762,827,983,345,795,983,402,277,546,317,101,789,833,983,904,983,480,506,626,488,40,983,942,983,807,983,983,983,959,716,857,569,473,776,331,678,119,818,95,927,983,172,178,983,471,104,961,489,670,339,347,347,59,290,60,429,230,272,450,793,642,647,953,983,983,983,399,591,983,51,702,587,893,983,983,983,983,417,56,7,983,360,752,452,631,213,146,508,983,983,983,141,422,600,602,821,143,20,636,581,815,602,566,983,983,983,210,326,122,264,896,269,907,784,983,610,899,983,983,711,983,983,983,206,933,983,77,983,192,464,813,950,983,852,983,538,761,983,983,983,983,677,420,80,740,314,806,653,983,983,369,882,983,572,373,276,306,896,983,983,983,416,239,576,983,983,983,180,776,278,624,983,983,983,816,983,983,249,602,149,4],"intervals":[{"from_index":0,"to_index":4,"interior_indices":[1,2,3],"interior_values":[1,1,2],"sum":4,"residue":4},{"from_index":4,"to_index":8,"interior_indices":[5,6,7],"interior_values":[5,8,13],"sum":26,"residue":26},{"from_index":8,"to_index":12,"interior_indices":[9,10,11],"interior_values":[34,55,89],"sum":178,"residue":178},{"from_index":12,"to_index":18,"interior_indices":[13,14,15,16,17],"interior_values":[233,377,610,4,614],"sum":1838,"residue":855},{"from_index":18,"to_index":19,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":19,"to_index":20,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":20,"to_index":23,"interior_indices":[21,22],"interior_values":[133,17],"sum":150,"residue":150},{"from_index":23,"to_index":27,"interior_indices":[24,25,26],"interior_values":[167,317,484],"sum":968,"residue":968},{"from_index":27,"to_index":29,"interior_indices":[28],"interior_values":[302],"sum":302,"residue":302},{"from_index":29,"to_index":34,"interior_indices":[30,31,32,33],"interior_values":[422,542,964,523],"sum":2451,"residue":485},{"from_index":34,"to_index":40,"interior_indices":[35,36,37,38,39],"interior_values":[44,548,592,157,749],"sum":2090,"residue":124},{"from_index":40,"to_index":41,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":41,"to_index":44,"interior_indices":[42,43],"interior_values":[595,284],"sum":879,"residue":879},{"from_index":44,"to_index":45,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":45,"to_index":49,"interior_indices":[46,47,48],"interior_values":[76,256,332],"sum":664,"residue":664},{"from_index":49,"to_index":51,"interior_indices":[50],"interior_values":[920],"sum":920,"residue":920},{"from_index":51,"to_index":52,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":52,"to_index":56,"interior_indices":[53,54,55],"interior_values":[4,466,470],"sum":940,"residue":940},{"from_index":56,"to_index":57,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":57,"to_index":60,"interior_indices":[58,59],"interior_values":[376,799],"sum":1175,"residue":192},{"from_index":60,"to_index":64,"interior_indices":[61,62,63],"interior_values":[8,200,208],"sum":416,"residue":416},{"from_index":64,"to_index":67,"interior_indices":[65,66],"interior_values":[616,41],"sum":657,"residue":657},{"from_index":67,"to_index":69,"interior_indices":[68],"interior_values":[698],"sum":698,"residue":698},{"from_index":69,"to_index":70,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":70,"to_index":71,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":71,"to_index":72,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":72,"to_index":77,"interior_indices":[73,74,75,76],"interior_values":[22,568,590,175],"sum":1355,"residue":372},{"from_index":77,"to_index":82,"interior_indices":[78,79,80,81],"interior_values":[940,722,679,418],"sum":2759,"residue":793},{"from_index":82,"to_index":85,"interior_indices":[83,84],"interior_values":[532,646],"sum":1178,"residue":195},{"from_index":85,"to_index":88,"interior_indices":[86,87],"interior_values":[841,53],"sum":894,"residue":894},{"from_index":88,"to_index":90,"interior_indices":[89],"interior_values":[947],"sum":947,"residue":947},{"from_index":90,"to_index":91,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":91,"to_index":95,"interior_indices":[92,93,94],"interior_values":[697,536,250],"sum":1483,"residue":500},{"from_index":95,"to_index":100,"interior_indices":[96,97,98,99],"interior_values":[53,839,892,748],"sum":2532,"residue":566},{"from_index":100,"to_index":102,"interior_indices":[101],"interior_values":[422],"sum":422,"residue":422},{"from_index":102,"to_index":107,"interior_indices":[103,104,105,106],"interior_values":[518,614,149,763],"sum":2044,"residue":78},{"from_index":107,"to_index":109,"interior_indices":[108],"interior_values":[692],"sum":692,"residue":692},{"from_index":109,"to_index":110,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":110,"to_index":111,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":111,"to_index":114,"interior_indices":[112,113],"interior_values":[298,266],"sum":564,"residue":564},{"from_index":114,"to_index":116,"interior_indices":[115],"interior_values":[830],"sum":830,"residue":830},{"from_index":116,"to_index":117,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":117,"to_index":118,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":118,"to_index":119,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":119,"to_index":123,"interior_indices":[120,121,122],"interior_values":[613,557,187],"sum":1357,"residue":374},{"from_index":123,"to_index":128,"interior_indices":[124,125,126,127],"interior_values":[931,692,640,349],"sum":2612,"residue":646},{"from_index":128,"to_index":133,"interior_indices":[129,130,131,132],"interior_values":[355,361,716,94],"sum":1526,"residue":543},{"from_index":133,"to_index":138,"interior_indices":[134,135,136,137],"interior_values":[904,731,652,400],"sum":2687,"residue":721},{"from_index":138,"to_index":141,"interior_indices":[139,140],"interior_values":[469,538],"sum":1007,"residue":24},{"from_index":141,"to_index":144,"interior_indices":[142,143],"interior_values":[562,586],"sum":1148,"residue":165},{"from_index":144,"to_index":147,"interior_indices":[145,146],"interior_values":[751,916],"sum":1667,"residue":684},{"from_index":147,"to_index":149,"interior_indices":[148],"interior_values":[617],"sum":617,"residue":617},{"from_index":149,"to_index":151,"interior_indices":[150],"interior_values":[935],"sum":935,"residue":935},{"from_index":151,"to_index":152,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":152,"to_index":153,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":153,"to_index":154,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":154,"to_index":157,"interior_indices":[155,156],"interior_values":[223,937],"sum":1160,"residue":177},{"from_index":157,"to_index":161,"interior_indices":[158,159,160],"interior_values":[131,308,439],"sum":878,"residue":878},{"from_index":161,"to_index":167,"interior_indices":[162,163,164,165,166],"interior_values":[203,950,170,137,307],"sum":1767,"residue":784},{"from_index":167,"to_index":170,"interior_indices":[168,169],"interior_values":[751,212],"sum":963,"residue":963},{"from_index":170,"to_index":171,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":171,"to_index":175,"interior_indices":[172,173,174],"interior_values":[172,364,536],"sum":1072,"residue":89},{"from_index":175,"to_index":176,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":176,"to_index":179,"interior_indices":[177,178],"interior_values":[370,823],"sum":1193,"residue":210},{"from_index":179,"to_index":183,"interior_indices":[180,181,182],"interior_values":[50,260,310],"sum":620,"residue":620},{"from_index":183,"to_index":187,"interior_indices":[184,185,186],"interior_values":[880,467,364],"sum":1711,"residue":728},{"from_index":187,"to_index":189,"interior_indices":[188],"interior_values":[212],"sum":212,"residue":212},{"from_index":189,"to_index":193,"interior_indices":[190,191,192],"interior_values":[272,332,604],"sum":1208,"residue":225},{"from_index":193,"to_index":195,"interior_indices":[194],"interior_values":[557],"sum":557,"residue":557},{"from_index":195,"to_index":196,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":196,"to_index":197,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":197,"to_index":198,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":198,"to_index":201,"interior_indices":[199,200],"interior_values":[289,967],"sum":1256,"residue":273},{"from_index":201,"to_index":206,"interior_indices":[202,203,204,205],"interior_values":[257,530,787,334],"sum":1908,"residue":925},{"from_index":206,"to_index":209,"interior_indices":[207,208],"interior_values":[472,610],"sum":1082,"residue":99},{"from_index":209,"to_index":212,"interior_indices":[210,211],"interior_values":[709,808],"sum":1517,"residue":534},{"from_index":212,"to_index":218,"interior_indices":[213,214,215,216,217],"interior_values":[359,893,269,179,448],"sum":2148,"residue":182},{"from_index":218,"to_index":223,"interior_indices":[219,220,221,222],"interior_values":[92,719,811,547],"sum":2169,"residue":203},{"from_index":223,"to_index":227,"interior_indices":[224,225,226],"interior_values":[922,314,253],"sum":1489,"residue":506},{"from_index":227,"to_index":231,"interior_indices":[228,229,230],"interior_values":[820,404,241],"sum":1465,"residue":482},{"from_index":231,"to_index":237,"interior_indices":[232,233,234,235,236],"interior_values":[886,548,451,16,467],"sum":2368,"residue":402},{"from_index":237,"to_index":239,"interior_indices":[238],"interior_values":[950],"sum":950,"residue":950},{"from_index":239,"to_index":240,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":240,"to_index":241,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":241,"to_index":244,"interior_indices":[242,243],"interior_values":[301,185],"sum":486,"residue":486},{"from_index":244,"to_index":246,"interior_indices":[245],"interior_values":[671],"sum":671,"residue":671},{"from_index":246,"to_index":248,"interior_indices":[247],"interior_values":[845],"sum":845,"residue":845},{"from_index":248,"to_index":257,"interior_indices":[249,250,251,252,253,254,255,256],"interior_values":[881,917,815,749,581,347,928,292],"sum":5510,"residue":595},{"from_index":257,"to_index":260,"interior_indices":[258,259],"interior_values":[529,766],"sum":1295,"residue":312},{"from_index":260,"to_index":264,"interior_indices":[261,262,263],"interior_values":[95,407,502],"sum":1004,"residue":21},{"from_index":264,"to_index":266,"interior_indices":[265],"interior_values":[428],"sum":428,"residue":428},{"from_index":266,"to_index":268,"interior_indices":[267],"interior_values":[782],"sum":782,"residue":782},{"from_index":268,"to_index":270,"interior_indices":[269],"interior_values":[935],"sum":935,"residue":935},{"from_index":270,"to_index":271,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":271,"to_index":272,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":272,"to_index":273,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":273,"to_index":274,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":274,"to_index":275,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":275,"to_index":276,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":276,"to_index":280,"interior_indices":[277,278,279],"interior_values":[598,596,211],"sum":1405,"residue":422},{"from_index":280,"to_index":285,"interior_indices":[281,282,283,284],"interior_values":[35,842,877,736],"sum":2490,"residue":524},{"from_index":285,"to_index":287,"interior_indices":[286],"interior_values":[383],"sum":383,"residue":383},{"from_index":287,"to_index":292,"interior_indices":[288,289,290,291],"interior_values":[413,443,856,316],"sum":2028,"residue":62},{"from_index":292,"to_index":295,"interior_indices":[293,294],"interior_values":[505,694],"sum":1199,"residue":216},{"from_index":295,"to_index":299,"interior_indices":[296,297,298],"interior_values":[910,143,70],"sum":1123,"residue":140},{"from_index":299,"to_index":306,"interior_indices":[300,301,302,303,304,305],"interior_values":[283,496,779,292,88,380],"sum":2318,"residue":352},{"from_index":306,"to_index":308,"interior_indices":[307],"interior_values":[848],"sum":848,"residue":848},{"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":311,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":311,"to_index":314,"interior_indices":[312,313],"interior_values":[277,23],"sum":300,"residue":300},{"from_index":314,"to_index":319,"interior_indices":[315,316,317,318],"interior_values":[323,623,946,586],"sum":2478,"residue":512},{"from_index":319,"to_index":324,"interior_indices":[320,321,322,323],"interior_values":[152,701,853,571],"sum":2277,"residue":311},{"from_index":324,"to_index":328,"interior_indices":[325,326,327],"interior_values":[29,470,499],"sum":998,"residue":15},{"from_index":328,"to_index":330,"interior_indices":[329],"interior_values":[485],"sum":485,"residue":485},{"from_index":330,"to_index":332,"interior_indices":[331],"interior_values":[956],"sum":956,"residue":956},{"from_index":332,"to_index":333,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":333,"to_index":334,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":334,"to_index":337,"interior_indices":[335,336],"interior_values":[295,173],"sum":468,"residue":468},{"from_index":337,"to_index":339,"interior_indices":[338],"interior_values":[641],"sum":641,"residue":641},{"from_index":339,"to_index":347,"interior_indices":[340,341,342,343,344,345,346],"interior_values":[767,893,677,587,281,868,166],"sum":4239,"residue":307},{"from_index":347,"to_index":351,"interior_indices":[348,349,350],"interior_values":[217,268,485],"sum":970,"residue":970},{"from_index":351,"to_index":352,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":352,"to_index":356,"interior_indices":[353,354,355],"interior_values":[25,280,305],"sum":610,"residue":610},{"from_index":356,"to_index":358,"interior_indices":[357],"interior_values":[890],"sum":890,"residue":890},{"from_index":358,"to_index":359,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":359,"to_index":360,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":360,"to_index":363,"interior_indices":[361,362],"interior_values":[307,215],"sum":522,"residue":522},{"from_index":363,"to_index":365,"interior_indices":[364],"interior_values":[737],"sum":737,"residue":737},{"from_index":365,"to_index":366,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":366,"to_index":367,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":367,"to_index":368,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":368,"to_index":369,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":369,"to_index":370,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":370,"to_index":374,"interior_indices":[371,372,373],"interior_values":[637,632,286],"sum":1555,"residue":572},{"from_index":374,"to_index":376,"interior_indices":[375],"interior_values":[221],"sum":221,"residue":221},{"from_index":376,"to_index":381,"interior_indices":[377,378,379,380],"interior_values":[377,533,910,460],"sum":2280,"residue":314},{"from_index":381,"to_index":385,"interior_indices":[382,383,384],"interior_values":[847,251,115],"sum":1213,"residue":230},{"from_index":385,"to_index":388,"interior_indices":[386,387],"interior_values":[481,847],"sum":1328,"residue":345},{"from_index":388,"to_index":393,"interior_indices":[389,390,391,392],"interior_values":[209,554,763,334],"sum":1860,"residue":877},{"from_index":393,"to_index":396,"interior_indices":[394,395],"interior_values":[448,562],"sum":1010,"residue":27},{"from_index":396,"to_index":399,"interior_indices":[397,398],"interior_values":[589,616],"sum":1205,"residue":222},{"from_index":399,"to_index":402,"interior_indices":[400,401],"interior_values":[838,77],"sum":915,"residue":915},{"from_index":402,"to_index":403,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":403,"to_index":404,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":404,"to_index":405,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":405,"to_index":410,"interior_indices":[406,407,408,409],"interior_values":[874,824,715,556],"sum":2969,"residue":20},{"from_index":410,"to_index":414,"interior_indices":[411,412,413],"interior_values":[844,149,10],"sum":1003,"residue":20},{"from_index":414,"to_index":418,"interior_indices":[415,416,417],"interior_values":[169,328,497],"sum":994,"residue":11},{"from_index":418,"to_index":419,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":419,"to_index":424,"interior_indices":[420,421,422,423],"interior_values":[181,520,701,238],"sum":1640,"residue":657},{"from_index":424,"to_index":426,"interior_indices":[425],"interior_values":[194],"sum":194,"residue":194},{"from_index":426,"to_index":431,"interior_indices":[427,428,429,430],"interior_values":[344,494,838,349],"sum":2025,"residue":59},{"from_index":431,"to_index":434,"interior_indices":[432,433],"interior_values":[553,757],"sum":1310,"residue":327},{"from_index":434,"to_index":438,"interior_indices":[435,436,437],"interior_values":[101,428,529],"sum":1058,"residue":75},{"from_index":438,"to_index":440,"interior_indices":[439],"interior_values":[503],"sum":503,"residue":503},{"from_index":440,"to_index":442,"interior_indices":[441],"interior_values":[980],"sum":980,"residue":980},{"from_index":442,"to_index":443,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":443,"to_index":444,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":444,"to_index":447,"interior_indices":[445,446],"interior_values":[433,395],"sum":828,"residue":828},{"from_index":447,"to_index":448,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":448,"to_index":452,"interior_indices":[449,450,451],"interior_values":[85,325,410],"sum":820,"residue":820},{"from_index":452,"to_index":453,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":453,"to_index":454,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":454,"to_index":457,"interior_indices":[455,456],"interior_values":[76,973],"sum":1049,"residue":66},{"from_index":457,"to_index":461,"interior_indices":[458,459,460],"interior_values":[56,122,178],"sum":356,"residue":356},{"from_index":461,"to_index":464,"interior_indices":[462,463],"interior_values":[478,778],"sum":1256,"residue":273},{"from_index":464,"to_index":468,"interior_indices":[465,466,467],"interior_values":[68,341,409],"sum":818,"residue":818},{"from_index":468,"to_index":474,"interior_indices":[469,470,471,472,473],"interior_values":[176,926,119,62,181],"sum":1464,"residue":481},{"from_index":474,"to_index":477,"interior_indices":[475,476],"interior_values":[424,667],"sum":1091,"residue":108},{"from_index":477,"to_index":480,"interior_indices":[478,479],"interior_values":[775,883],"sum":1658,"residue":675},{"from_index":480,"to_index":482,"interior_indices":[481],"interior_values":[575],"sum":575,"residue":575},{"from_index":482,"to_index":484,"interior_indices":[483],"interior_values":[842],"sum":842,"residue":842},{"from_index":484,"to_index":486,"interior_indices":[485],"interior_values":[968],"sum":968,"residue":968},{"from_index":486,"to_index":487,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":487,"to_index":488,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":488,"to_index":489,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":489,"to_index":490,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":490,"to_index":491,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":491,"to_index":494,"interior_indices":[492,493],"interior_values":[340,170],"sum":510,"residue":510},{"from_index":494,"to_index":496,"interior_indices":[495],"interior_values":[680],"sum":680,"residue":680},{"from_index":496,"to_index":498,"interior_indices":[497],"interior_values":[887],"sum":887,"residue":887},{"from_index":498,"to_index":499,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":499,"to_index":500,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":500,"to_index":501,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":501,"to_index":502,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":502,"to_index":503,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":503,"to_index":504,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":504,"to_index":510,"interior_indices":[505,506,507,508,509],"interior_values":[100,775,875,667,559],"sum":2976,"residue":27},{"from_index":510,"to_index":513,"interior_indices":[511,512],"interior_values":[802,62],"sum":864,"residue":864},{"from_index":513,"to_index":515,"interior_indices":[514],"interior_values":[926],"sum":926,"residue":926},{"from_index":515,"to_index":516,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":516,"to_index":519,"interior_indices":[517,518],"interior_values":[574,341],"sum":915,"residue":915},{"from_index":519,"to_index":520,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":520,"to_index":525,"interior_indices":[521,522,523,524],"interior_values":[205,478,683,178],"sum":1544,"residue":561},{"from_index":525,"to_index":530,"interior_indices":[526,527,528,529],"interior_values":[56,917,973,907],"sum":2853,"residue":887},{"from_index":530,"to_index":532,"interior_indices":[531],"interior_values":[821],"sum":821,"residue":821},{"from_index":532,"to_index":533,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":533,"to_index":536,"interior_indices":[534,535],"interior_values":[325,898],"sum":1223,"residue":240},{"from_index":536,"to_index":540,"interior_indices":[537,538,539],"interior_values":[155,395,550],"sum":1100,"residue":117},{"from_index":540,"to_index":542,"interior_indices":[541],"interior_values":[512],"sum":512,"residue":512},{"from_index":542,"to_index":543,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":543,"to_index":544,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":544,"to_index":545,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":545,"to_index":546,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":546,"to_index":549,"interior_indices":[547,548],"interior_values":[454,428],"sum":882,"residue":882},{"from_index":549,"to_index":550,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":550,"to_index":557,"interior_indices":[551,552,553,554,555,556],"interior_values":[226,553,779,349,145,494],"sum":2546,"residue":580},{"from_index":557,"to_index":558,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":558,"to_index":559,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":559,"to_index":560,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":560,"to_index":566,"interior_indices":[561,562,563,564,565],"interior_values":[745,701,463,181,644],"sum":2734,"residue":768},{"from_index":566,"to_index":567,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":567,"to_index":570,"interior_indices":[568,569],"interior_values":[328,814],"sum":1142,"residue":159},{"from_index":570,"to_index":574,"interior_indices":[571,572,573],"interior_values":[973,149,139],"sum":1261,"residue":278},{"from_index":574,"to_index":577,"interior_indices":[575,576],"interior_values":[427,715],"sum":1142,"residue":159},{"from_index":577,"to_index":580,"interior_indices":[578,579],"interior_values":[874,50],"sum":924,"residue":924},{"from_index":580,"to_index":582,"interior_indices":[581],"interior_values":[974],"sum":974,"residue":974},{"from_index":582,"to_index":583,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":583,"to_index":588,"interior_indices":[584,585,586,587],"interior_values":[838,761,616,394],"sum":2609,"residue":643},{"from_index":588,"to_index":595,"interior_indices":[589,590,591,592,593,594],"interior_values":[421,448,869,334,220,554],"sum":2846,"residue":880},{"from_index":595,"to_index":596,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":596,"to_index":601,"interior_indices":[597,598,599,600],"interior_values":[136,481,617,115],"sum":1349,"residue":366},{"from_index":601,"to_index":607,"interior_indices":[602,603,604,605,606],"interior_values":[847,596,460,73,533],"sum":2509,"residue":543},{"from_index":607,"to_index":608,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":608,"to_index":609,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":609,"to_index":610,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":610,"to_index":614,"interior_indices":[611,612,613],"interior_values":[697,632,346],"sum":1675,"residue":692},{"from_index":614,"to_index":616,"interior_indices":[615],"interior_values":[341],"sum":341,"residue":341},{"from_index":616,"to_index":618,"interior_indices":[617],"interior_values":[677],"sum":677,"residue":677},{"from_index":618,"to_index":624,"interior_indices":[619,620,621,622,623],"interior_values":[707,737,461,215,676],"sum":2796,"residue":830},{"from_index":624,"to_index":626,"interior_indices":[625],"interior_values":[584],"sum":584,"residue":584},{"from_index":626,"to_index":627,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":627,"to_index":628,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":628,"to_index":629,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":629,"to_index":632,"interior_indices":[630,631],"interior_values":[280,958],"sum":1238,"residue":255},{"from_index":632,"to_index":641,"interior_indices":[633,634,635,636,637,638,639,640],"interior_values":[230,485,715,217,932,166,115,281],"sum":3141,"residue":192},{"from_index":641,"to_index":643,"interior_indices":[642],"interior_values":[677],"sum":677,"residue":677},{"from_index":643,"to_index":650,"interior_indices":[644,645,646,647,648,649],"interior_values":[767,857,641,515,173,688],"sum":3641,"residue":692},{"from_index":650,"to_index":652,"interior_indices":[651],"interior_values":[566],"sum":566,"residue":566},{"from_index":652,"to_index":653,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":653,"to_index":654,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":654,"to_index":655,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":655,"to_index":656,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":656,"to_index":659,"interior_indices":[657,658],"interior_values":[484,470],"sum":954,"residue":954},{"from_index":659,"to_index":660,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":660,"to_index":663,"interior_indices":[661,662],"interior_values":[412,853],"sum":1265,"residue":282},{"from_index":663,"to_index":669,"interior_indices":[664,665,666,667,668],"interior_values":[152,434,586,37,623],"sum":1832,"residue":849},{"from_index":669,"to_index":670,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":670,"to_index":671,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":671,"to_index":674,"interior_indices":[672,673],"interior_values":[277,254],"sum":531,"residue":531},{"from_index":674,"to_index":676,"interior_indices":[675],"interior_values":[785],"sum":785,"residue":785},{"from_index":676,"to_index":677,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":677,"to_index":678,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":678,"to_index":679,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":679,"to_index":687,"interior_indices":[680,681,682,683,684,685,686],"interior_values":[88,691,779,487,283,770,70],"sum":3168,"residue":219},{"from_index":687,"to_index":692,"interior_indices":[688,689,690,691],"interior_values":[910,767,694,478],"sum":2849,"residue":883},{"from_index":692,"to_index":695,"interior_indices":[693,694],"interior_values":[667,856],"sum":1523,"residue":540},{"from_index":695,"to_index":703,"interior_indices":[696,697,698,699,700,701,702],"interior_values":[413,953,383,353,736,106,842],"sum":3786,"residue":837},{"from_index":703,"to_index":704,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":704,"to_index":708,"interior_indices":[705,706,707],"interior_values":[772,596,385],"sum":1753,"residue":770},{"from_index":708,"to_index":710,"interior_indices":[709],"interior_values":[383],"sum":383,"residue":383},{"from_index":710,"to_index":712,"interior_indices":[711],"interior_values":[764],"sum":764,"residue":764},{"from_index":712,"to_index":714,"interior_indices":[713],"interior_values":[926],"sum":926,"residue":926},{"from_index":714,"to_index":715,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":715,"to_index":716,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":716,"to_index":717,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":717,"to_index":718,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":718,"to_index":719,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":719,"to_index":720,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":720,"to_index":723,"interior_indices":[721,722],"interior_values":[481,407],"sum":888,"residue":888},{"from_index":723,"to_index":724,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":724,"to_index":731,"interior_indices":[725,726,727,728,729,730],"interior_values":[217,529,746,292,55,347],"sum":2186,"residue":220},{"from_index":731,"to_index":733,"interior_indices":[732],"interior_values":[749],"sum":749,"residue":749},{"from_index":733,"to_index":735,"interior_indices":[734],"interior_values":[917],"sum":917,"residue":917},{"from_index":735,"to_index":736,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":736,"to_index":737,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":737,"to_index":738,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":738,"to_index":739,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":739,"to_index":740,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":740,"to_index":741,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":741,"to_index":744,"interior_indices":[742,743],"interior_values":[301,116],"sum":417,"residue":417},{"from_index":744,"to_index":751,"interior_indices":[745,746,747,748,749,750],"interior_values":[533,950,500,467,967,451],"sum":3868,"residue":919},{"from_index":751,"to_index":755,"interior_indices":[752,753,754],"interior_values":[886,338,241],"sum":1465,"residue":482},{"from_index":755,"to_index":759,"interior_indices":[756,757,758],"interior_values":[820,416,253],"sum":1489,"residue":506},{"from_index":759,"to_index":765,"interior_indices":[760,761,762,763,764],"interior_values":[922,608,547,172,719],"sum":2968,"residue":19},{"from_index":765,"to_index":766,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":766,"to_index":769,"interior_indices":[767,768],"interior_values":[535,179],"sum":714,"residue":714},{"from_index":769,"to_index":771,"interior_indices":[770],"interior_values":[893],"sum":893,"residue":893},{"from_index":771,"to_index":772,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":772,"to_index":778,"interior_indices":[773,774,775,776,777],"interior_values":[175,709,884,610,511],"sum":2889,"residue":923},{"from_index":778,"to_index":781,"interior_indices":[779,780],"interior_values":[649,787],"sum":1436,"residue":453},{"from_index":781,"to_index":786,"interior_indices":[782,783,784,785],"interior_values":[257,710,967,694],"sum":2628,"residue":662},{"from_index":786,"to_index":788,"interior_indices":[787],"interior_values":[389],"sum":389,"residue":389},{"from_index":788,"to_index":793,"interior_indices":[789,790,791,792],"interior_values":[473,557,47,604],"sum":1681,"residue":698},{"from_index":793,"to_index":799,"interior_indices":[794,795,796,797,798],"interior_values":[272,923,212,152,364],"sum":1923,"residue":940},{"from_index":799,"to_index":803,"interior_indices":[800,801,802],"interior_values":[880,413,310],"sum":1603,"residue":620},{"from_index":803,"to_index":808,"interior_indices":[804,805,806,807],"interior_values":[50,773,823,613],"sum":2259,"residue":293},{"from_index":808,"to_index":814,"interior_indices":[809,810,811,812,813],"interior_values":[83,536,619,172,791],"sum":2201,"residue":235},{"from_index":814,"to_index":815,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":815,"to_index":819,"interior_indices":[816,817,818],"interior_values":[751,539,307],"sum":1597,"residue":614},{"from_index":819,"to_index":821,"interior_indices":[820],"interior_values":[170],"sum":170,"residue":170},{"from_index":821,"to_index":825,"interior_indices":[822,823,824],"interior_values":[203,236,439],"sum":878,"residue":878},{"from_index":825,"to_index":830,"interior_indices":[826,827,828,829],"interior_values":[131,806,937,760],"sum":2634,"residue":668},{"from_index":830,"to_index":832,"interior_indices":[831],"interior_values":[491],"sum":491,"residue":491},{"from_index":832,"to_index":840,"interior_indices":[833,834,835,836,837,838,839],"interior_values":[713,935,665,617,299,916,232],"sum":4377,"residue":445},{"from_index":840,"to_index":846,"interior_indices":[841,842,843,844,845],"interior_values":[397,562,959,538,514],"sum":2970,"residue":21},{"from_index":846,"to_index":849,"interior_indices":[847,848],"interior_values":[583,652],"sum":1235,"residue":252},{"from_index":849,"to_index":853,"interior_indices":[850,851,852],"interior_values":[904,173,94],"sum":1171,"residue":188},{"from_index":853,"to_index":856,"interior_indices":[854,855],"interior_values":[361,628],"sum":989,"residue":6},{"from_index":856,"to_index":859,"interior_indices":[857,858],"interior_values":[634,640],"sum":1274,"residue":291},{"from_index":859,"to_index":863,"interior_indices":[860,861,862],"interior_values":[931,239,187],"sum":1357,"residue":374},{"from_index":863,"to_index":866,"interior_indices":[864,865],"interior_values":[613,56],"sum":669,"residue":669},{"from_index":866,"to_index":868,"interior_indices":[867],"interior_values":[725],"sum":725,"residue":725},{"from_index":868,"to_index":869,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":869,"to_index":870,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":870,"to_index":871,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":871,"to_index":874,"interior_indices":[872,873],"interior_values":[298,32],"sum":330,"residue":330},{"from_index":874,"to_index":879,"interior_indices":[875,876,877,878],"interior_values":[362,692,71,763],"sum":1888,"residue":905},{"from_index":879,"to_index":881,"interior_indices":[880],"interior_values":[614],"sum":614,"residue":614},{"from_index":881,"to_index":882,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":882,"to_index":883,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":883,"to_index":884,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":884,"to_index":887,"interior_indices":[885,886],"interior_values":[235,892],"sum":1127,"residue":144},{"from_index":887,"to_index":891,"interior_indices":[888,889,890],"interior_values":[53,197,250],"sum":500,"residue":500},{"from_index":891,"to_index":894,"interior_indices":[892,893],"interior_values":[697,161],"sum":858,"residue":858},{"from_index":894,"to_index":895,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":895,"to_index":896,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":896,"to_index":897,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":897,"to_index":902,"interior_indices":[898,899,900,901],"interior_values":[841,788,646,451],"sum":2726,"residue":760},{"from_index":902,"to_index":905,"interior_indices":[903,904],"interior_values":[565,679],"sum":1244,"residue":261},{"from_index":905,"to_index":909,"interior_indices":[906,907,908],"interior_values":[940,218,175],"sum":1333,"residue":350},{"from_index":909,"to_index":912,"interior_indices":[910,911],"interior_values":[568,961],"sum":1529,"residue":546},{"from_index":912,"to_index":914,"interior_indices":[913],"interior_values":[524],"sum":524,"residue":524},{"from_index":914,"to_index":920,"interior_indices":[915,916,917,918,919],"interior_values":[611,698,326,41,367],"sum":2043,"residue":77},{"from_index":920,"to_index":923,"interior_indices":[921,922],"interior_values":[775,200],"sum":975,"residue":975},{"from_index":923,"to_index":924,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":924,"to_index":928,"interior_indices":[925,926,927],"interior_values":[184,376,560],"sum":1120,"residue":137},{"from_index":928,"to_index":929,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":929,"to_index":932,"interior_indices":[930,931],"interior_values":[466,979],"sum":1445,"residue":462},{"from_index":932,"to_index":940,"interior_indices":[933,934,935,936,937,938,939],"interior_values":[458,920,395,332,727,76,803],"sum":3711,"residue":762},{"from_index":940,"to_index":941,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":941,"to_index":944,"interior_indices":[942,943],"interior_values":[595,311],"sum":906,"residue":906},{"from_index":944,"to_index":945,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":945,"to_index":949,"interior_indices":[946,947,948],"interior_values":[157,391,548],"sum":1096,"residue":113},{"from_index":949,"to_index":950,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":950,"to_index":953,"interior_indices":[951,952],"interior_values":[460,964],"sum":1424,"residue":441},{"from_index":953,"to_index":959,"interior_indices":[954,955,956,957,958],"interior_values":[422,863,302,182,484],"sum":2253,"residue":287},{"from_index":959,"to_index":964,"interior_indices":[960,961,962,963],"interior_values":[167,833,17,850],"sum":1867,"residue":884},{"from_index":964,"to_index":966,"interior_indices":[965],"interior_values":[734],"sum":734,"residue":734},{"from_index":966,"to_index":967,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":967,"to_index":971,"interior_indices":[968,969,970],"interior_values":[4,373,377],"sum":754,"residue":754},{"from_index":971,"to_index":972,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":972,"to_index":973,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":973,"to_index":976,"interior_indices":[974,975],"interior_values":[55,949],"sum":1004,"residue":21},{"from_index":976,"to_index":979,"interior_indices":[977,978],"interior_values":[970,8],"sum":978,"residue":978},{"from_index":979,"to_index":980,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":980,"to_index":981,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":981,"to_index":984,"interior_indices":[982,983],"interior_values":[1,982],"sum":983,"residue":0},{"from_index":984,"to_index":987,"interior_indices":[985,986],"interior_values":[982,982],"sum":1964,"residue":981},{"from_index":987,"to_index":989,"interior_indices":[988],"interior_values":[980],"sum":980,"residue":980},{"from_index":989,"to_index":990,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":990,"to_index":995,"interior_indices":[991,992,993,994],"interior_values":[970,962,949,928],"sum":3809,"residue":860},{"from_index":995,"to_index":997,"interior_indices":[996],"interior_values":[839],"sum":839,"residue":839},{"from_index":997,"to_index":998,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":998,"to_index":1001,"interior_indices":[999,1000],"interior_values":[373,979],"sum":1352,"residue":369},{"from_index":1001,"to_index":1006,"interior_indices":[1002,1003,1004,1005],"interior_values":[365,734,116,850],"sum":2065,"residue":99},{"from_index":1006,"to_index":1008,"interior_indices":[1007],"interior_values":[833],"sum":833,"residue":833},{"from_index":1008,"to_index":1009,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1009,"to_index":1012,"interior_indices":[1010,1011],"interior_values":[499,182],"sum":681,"residue":681},{"from_index":1012,"to_index":1014,"interior_indices":[1013],"interior_values":[863],"sum":863,"residue":863},{"from_index":1014,"to_index":1015,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1015,"to_index":1019,"interior_indices":[1016,1017,1018],"interior_values":[19,460,479],"sum":958,"residue":958},{"from_index":1019,"to_index":1020,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1020,"to_index":1023,"interior_indices":[1021,1022],"interior_values":[391,826],"sum":1217,"residue":234},{"from_index":1023,"to_index":1027,"interior_indices":[1024,1025,1026],"interior_values":[77,311,388],"sum":776,"residue":776},{"from_index":1027,"to_index":1032,"interior_indices":[1028,1029,1030,1031],"interior_values":[104,803,907,727],"sum":2541,"residue":575},{"from_index":1032,"to_index":1034,"interior_indices":[1033],"interior_values":[395],"sum":395,"residue":395},{"from_index":1034,"to_index":1039,"interior_indices":[1035,1036,1037,1038],"interior_values":[458,521,979,517],"sum":2475,"residue":509},{"from_index":1039,"to_index":1045,"interior_indices":[1040,1041,1042,1043,1044],"interior_values":[47,560,607,184,791],"sum":2189,"residue":223},{"from_index":1045,"to_index":1046,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1046,"to_index":1050,"interior_indices":[1047,1048,1049],"interior_values":[775,575,367],"sum":1717,"residue":734},{"from_index":1050,"to_index":1052,"interior_indices":[1051],"interior_values":[326],"sum":326,"residue":326},{"from_index":1052,"to_index":1059,"interior_indices":[1053,1054,1055,1056,1057,1058],"interior_values":[611,896,524,437,961,415],"sum":3844,"residue":895},{"from_index":1059,"to_index":1063,"interior_indices":[1060,1061,1062],"interior_values":[808,218,43],"sum":1069,"residue":86},{"from_index":1063,"to_index":1071,"interior_indices":[1064,1065,1066,1067,1068,1069,1070],"interior_values":[304,565,869,451,337,788,142],"sum":3456,"residue":507},{"from_index":1071,"to_index":1073,"interior_indices":[1072],"interior_values":[89],"sum":89,"residue":89},{"from_index":1073,"to_index":1077,"interior_indices":[1074,1075,1076],"interior_values":[125,161,286],"sum":572,"residue":572},{"from_index":1077,"to_index":1080,"interior_indices":[1078,1079],"interior_values":[733,197],"sum":930,"residue":930},{"from_index":1080,"to_index":1081,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1081,"to_index":1085,"interior_indices":[1082,1083,1084],"interior_values":[91,235,326],"sum":652,"residue":652},{"from_index":1085,"to_index":1087,"interior_indices":[1086],"interior_values":[887],"sum":887,"residue":887},{"from_index":1087,"to_index":1088,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1088,"to_index":1089,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1089,"to_index":1092,"interior_indices":[1090,1091],"interior_values":[220,71],"sum":291,"residue":291},{"from_index":1092,"to_index":1097,"interior_indices":[1093,1094,1095,1096],"interior_values":[362,653,32,685],"sum":1732,"residue":749},{"from_index":1097,"to_index":1099,"interior_indices":[1098],"interior_values":[419],"sum":419,"residue":419},{"from_index":1099,"to_index":1105,"interior_indices":[1100,1101,1102,1103,1104],"interior_values":[572,725,314,56,370],"sum":2037,"residue":71},{"from_index":1105,"to_index":1109,"interior_indices":[1106,1107,1108],"interior_values":[796,239,52],"sum":1087,"residue":104},{"from_index":1109,"to_index":1115,"interior_indices":[1110,1111,1112,1113,1114],"interior_values":[343,634,977,628,622],"sum":3204,"residue":255},{"from_index":1115,"to_index":1119,"interior_indices":[1116,1117,1118],"interior_values":[889,173,79],"sum":1141,"residue":158},{"from_index":1119,"to_index":1132,"interior_indices":[1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131],"interior_values":[331,583,914,514,445,959,421,397,818,232,67,299],"sum":5980,"residue":82},{"from_index":1132,"to_index":1134,"interior_indices":[1133],"interior_values":[665],"sum":665,"residue":665},{"from_index":1134,"to_index":1142,"interior_indices":[1135,1136,1137,1138,1139,1140,1141],"interior_values":[713,761,491,269,760,46,806],"sum":3846,"residue":897},{"from_index":1142,"to_index":1143,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1143,"to_index":1146,"interior_indices":[1144,1145],"interior_values":[544,236],"sum":780,"residue":780},{"from_index":1146,"to_index":1147,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1147,"to_index":1148,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1148,"to_index":1149,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1149,"to_index":1153,"interior_indices":[1150,1151,1152],"interior_values":[676,539,232],"sum":1447,"residue":464},{"from_index":1153,"to_index":1158,"interior_indices":[1154,1155,1156,1157],"interior_values":[20,791,811,619],"sum":2241,"residue":275},{"from_index":1158,"to_index":1164,"interior_indices":[1159,1160,1161,1162,1163],"interior_values":[83,530,613,160,773],"sum":2159,"residue":193},{"from_index":1164,"to_index":1165,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1165,"to_index":1169,"interior_indices":[1166,1167,1168],"interior_values":[673,413,103],"sum":1189,"residue":206},{"from_index":1169,"to_index":1172,"interior_indices":[1170,1171],"interior_values":[619,152],"sum":771,"residue":771},{"from_index":1172,"to_index":1174,"interior_indices":[1173],"interior_values":[923],"sum":923,"residue":923},{"from_index":1174,"to_index":1175,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1175,"to_index":1178,"interior_indices":[1176,1177],"interior_values":[379,47],"sum":426,"residue":426},{"from_index":1178,"to_index":1186,"interior_indices":[1179,1180,1181,1182,1183,1184,1185],"interior_values":[473,899,389,305,694,16,710],"sum":3486,"residue":537},{"from_index":1186,"to_index":1187,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1187,"to_index":1197,"interior_indices":[1188,1189,1190,1191,1192,1193,1194,1195,1196],"interior_values":[196,649,845,511,373,884,274,175,449],"sum":4356,"residue":424},{"from_index":1197,"to_index":1198,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1198,"to_index":1199,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1199,"to_index":1200,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1200,"to_index":1203,"interior_indices":[1201,1202],"interior_values":[535,356],"sum":891,"residue":891},{"from_index":1203,"to_index":1204,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1204,"to_index":1209,"interior_indices":[1205,1206,1207,1208],"interior_values":[172,436,608,61],"sum":1277,"residue":294},{"from_index":1209,"to_index":1213,"interior_indices":[1210,1211,1212],"interior_values":[730,416,163],"sum":1309,"residue":326},{"from_index":1213,"to_index":1217,"interior_indices":[1214,1215,1216],"interior_values":[742,338,97],"sum":1177,"residue":194},{"from_index":1217,"to_index":1220,"interior_indices":[1218,1219],"interior_values":[532,967],"sum":1499,"residue":516},{"from_index":1220,"to_index":1222,"interior_indices":[1221],"interior_values":[500],"sum":500,"residue":500},{"from_index":1222,"to_index":1227,"interior_indices":[1223,1224,1225,1226],"interior_values":[533,566,116,682],"sum":1897,"residue":914},{"from_index":1227,"to_index":1229,"interior_indices":[1228],"interior_values":[497],"sum":497,"residue":497},{"from_index":1229,"to_index":1231,"interior_indices":[1230],"interior_values":[809],"sum":809,"residue":809},{"from_index":1231,"to_index":1233,"interior_indices":[1232],"interior_values":[947],"sum":947,"residue":947},{"from_index":1233,"to_index":1234,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1234,"to_index":1235,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1235,"to_index":1236,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1236,"to_index":1237,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1237,"to_index":1238,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1238,"to_index":1245,"interior_indices":[1239,1240,1241,1242,1243,1244],"interior_values":[55,691,746,454,217,671],"sum":2834,"residue":868},{"from_index":1245,"to_index":1246,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1246,"to_index":1249,"interior_indices":[1247,1248],"interior_values":[481,74],"sum":555,"residue":555},{"from_index":1249,"to_index":1251,"interior_indices":[1250],"interior_values":[629],"sum":629,"residue":629},{"from_index":1251,"to_index":1253,"interior_indices":[1252],"interior_values":[830],"sum":830,"residue":830},{"from_index":1253,"to_index":1262,"interior_indices":[1254,1255,1256,1257,1258,1259,1260,1261],"interior_values":[878,926,821,764,602,383,2,385],"sum":4761,"residue":829},{"from_index":1262,"to_index":1265,"interior_indices":[1263,1264],"interior_values":[772,176],"sum":948,"residue":948},{"from_index":1265,"to_index":1266,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1266,"to_index":1270,"interior_indices":[1267,1268,1269],"interior_values":[106,247,353],"sum":706,"residue":706},{"from_index":1270,"to_index":1272,"interior_indices":[1271],"interior_values":[953],"sum":953,"residue":953},{"from_index":1272,"to_index":1273,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1273,"to_index":1281,"interior_indices":[1274,1275,1276,1277,1278,1279,1280],"interior_values":[127,667,794,478,289,767,73],"sum":3195,"residue":246},{"from_index":1281,"to_index":1286,"interior_indices":[1282,1283,1284,1285],"interior_values":[913,770,700,487],"sum":2870,"residue":904},{"from_index":1286,"to_index":1289,"interior_indices":[1287,1288],"interior_values":[691,895],"sum":1586,"residue":603},{"from_index":1289,"to_index":1291,"interior_indices":[1290],"interior_values":[515],"sum":515,"residue":515},{"from_index":1291,"to_index":1297,"interior_indices":[1292,1293,1294,1295,1296],"interior_values":[650,785,452,254,706],"sum":2847,"residue":881},{"from_index":1297,"to_index":1299,"interior_indices":[1298],"interior_values":[683],"sum":683,"residue":683},{"from_index":1299,"to_index":1300,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1300,"to_index":1304,"interior_indices":[1301,1302,1303],"interior_values":[37,397,434],"sum":868,"residue":868},{"from_index":1304,"to_index":1305,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1305,"to_index":1309,"interior_indices":[1306,1307,1308],"interior_values":[130,412,542],"sum":1084,"residue":101},{"from_index":1309,"to_index":1310,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1310,"to_index":1313,"interior_indices":[1311,1312],"interior_values":[484,14],"sum":498,"residue":498},{"from_index":1313,"to_index":1315,"interior_indices":[1314],"interior_values":[512],"sum":512,"residue":512},{"from_index":1315,"to_index":1320,"interior_indices":[1316,1317,1318,1319],"interior_values":[539,566,122,688],"sum":1915,"residue":932},{"from_index":1320,"to_index":1322,"interior_indices":[1321],"interior_values":[515],"sum":515,"residue":515},{"from_index":1322,"to_index":1324,"interior_indices":[1323],"interior_values":[857],"sum":857,"residue":857},{"from_index":1324,"to_index":1325,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1325,"to_index":1326,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1326,"to_index":1327,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1327,"to_index":1328,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1328,"to_index":1334,"interior_indices":[1329,1330,1331,1332,1333],"interior_values":[115,817,932,766,715],"sum":3345,"residue":396},{"from_index":1334,"to_index":1339,"interior_indices":[1335,1336,1337,1338],"interior_values":[230,728,958,703],"sum":2619,"residue":653},{"from_index":1339,"to_index":1341,"interior_indices":[1340],"interior_values":[398],"sum":398,"residue":398},{"from_index":1341,"to_index":1346,"interior_indices":[1342,1343,1344,1345],"interior_values":[491,584,92,676],"sum":1843,"residue":860},{"from_index":1346,"to_index":1348,"interior_indices":[1347],"interior_values":[461],"sum":461,"residue":461},{"from_index":1348,"to_index":1356,"interior_indices":[1349,1350,1351,1352,1353,1354,1355],"interior_values":[707,953,677,647,341,5,346],"sum":3676,"residue":727},{"from_index":1356,"to_index":1359,"interior_indices":[1357,1358],"interior_values":[697,65],"sum":762,"residue":762},{"from_index":1359,"to_index":1361,"interior_indices":[1360],"interior_values":[827],"sum":827,"residue":827},{"from_index":1361,"to_index":1362,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1362,"to_index":1367,"interior_indices":[1363,1364,1365,1366],"interior_values":[73,523,596,136],"sum":1328,"residue":345},{"from_index":1367,"to_index":1373,"interior_indices":[1368,1369,1370,1371,1372],"interior_values":[868,617,502,136,638],"sum":2761,"residue":795},{"from_index":1373,"to_index":1374,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1374,"to_index":1385,"interior_indices":[1375,1376,1377,1378,1379,1380,1381,1382,1383,1384],"interior_values":[220,649,869,535,421,956,394,367,761,145],"sum":5317,"residue":402},{"from_index":1385,"to_index":1391,"interior_indices":[1386,1387,1388,1389,1390],"interior_values":[68,974,59,50,109],"sum":1260,"residue":277},{"from_index":1391,"to_index":1396,"interior_indices":[1392,1393,1394,1395],"interior_values":[268,427,695,139],"sum":1529,"residue":546},{"from_index":1396,"to_index":1401,"interior_indices":[1397,1398,1399,1400],"interior_values":[973,824,814,655],"sum":3266,"residue":317},{"from_index":1401,"to_index":1406,"interior_indices":[1402,1403,1404,1405],"interior_values":[158,644,802,463],"sum":2067,"residue":101},{"from_index":1406,"to_index":1409,"interior_indices":[1407,1408],"interior_values":[745,44],"sum":789,"residue":789},{"from_index":1409,"to_index":1411,"interior_indices":[1410],"interior_values":[833],"sum":833,"residue":833},{"from_index":1411,"to_index":1412,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1412,"to_index":1419,"interior_indices":[1413,1414,1415,1416,1417,1418],"interior_values":[145,634,779,430,226,656],"sum":2870,"residue":904},{"from_index":1419,"to_index":1420,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1420,"to_index":1423,"interior_indices":[1421,1422],"interior_values":[454,26],"sum":480,"residue":480},{"from_index":1423,"to_index":1425,"interior_indices":[1424],"interior_values":[506],"sum":506,"residue":506},{"from_index":1425,"to_index":1430,"interior_indices":[1426,1427,1428,1429],"interior_values":[509,512,38,550],"sum":1609,"residue":626},{"from_index":1430,"to_index":1435,"interior_indices":[1431,1432,1433,1434],"interior_values":[155,743,898,658],"sum":2454,"residue":488},{"from_index":1435,"to_index":1442,"interior_indices":[1436,1437,1438,1439,1440,1441],"interior_values":[248,821,86,907,10,917],"sum":2989,"residue":40},{"from_index":1442,"to_index":1443,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1443,"to_index":1449,"interior_indices":[1444,1445,1446,1447,1448],"interior_values":[805,683,505,205,710],"sum":2908,"residue":942},{"from_index":1449,"to_index":1450,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1450,"to_index":1453,"interior_indices":[1451,1452],"interior_values":[574,233],"sum":807,"residue":807},{"from_index":1453,"to_index":1454,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1454,"to_index":1455,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1455,"to_index":1456,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1456,"to_index":1465,"interior_indices":[1457,1458,1459,1460,1461,1462,1463,1464],"interior_values":[802,740,559,316,875,208,100,308],"sum":3908,"residue":959},{"from_index":1465,"to_index":1467,"interior_indices":[1466],"interior_values":[716],"sum":716,"residue":716},{"from_index":1467,"to_index":1469,"interior_indices":[1468],"interior_values":[857],"sum":857,"residue":857},{"from_index":1469,"to_index":1477,"interior_indices":[1470,1471,1472,1473,1474,1475,1476],"interior_values":[872,887,776,680,473,170,643],"sum":4501,"residue":569},{"from_index":1477,"to_index":1479,"interior_indices":[1478],"interior_values":[473],"sum":473,"residue":473},{"from_index":1479,"to_index":1481,"interior_indices":[1480],"interior_values":[776],"sum":776,"residue":776},{"from_index":1481,"to_index":1491,"interior_indices":[1482,1483,1484,1485,1486,1487,1488,1489,1490],"interior_values":[872,968,857,842,716,575,308,883,208],"sum":6229,"residue":331},{"from_index":1491,"to_index":1496,"interior_indices":[1492,1493,1494,1495],"interior_values":[316,424,740,181],"sum":1661,"residue":678},{"from_index":1496,"to_index":1498,"interior_indices":[1497],"interior_values":[119],"sum":119,"residue":119},{"from_index":1498,"to_index":1502,"interior_indices":[1499,1500,1501],"interior_values":[176,233,409],"sum":818,"residue":818},{"from_index":1502,"to_index":1507,"interior_indices":[1503,1504,1505,1506],"interior_values":[68,710,778,505],"sum":2061,"residue":95},{"from_index":1507,"to_index":1510,"interior_indices":[1508,1509],"interior_values":[805,122],"sum":927,"residue":927},{"from_index":1510,"to_index":1511,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1511,"to_index":1515,"interior_indices":[1512,1513,1514],"interior_values":[10,76,86],"sum":172,"residue":172},{"from_index":1515,"to_index":1521,"interior_indices":[1516,1517,1518,1519,1520],"interior_values":[248,410,658,85,743],"sum":2144,"residue":178},{"from_index":1521,"to_index":1522,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1522,"to_index":1525,"interior_indices":[1523,1524],"interior_values":[433,38],"sum":471,"residue":471},{"from_index":1525,"to_index":1532,"interior_indices":[1526,1527,1528,1529,1530,1531],"interior_values":[509,980,506,503,26,529],"sum":3053,"residue":104},{"from_index":1532,"to_index":1537,"interior_indices":[1533,1534,1535,1536],"interior_values":[101,656,757,430],"sum":1944,"residue":961},{"from_index":1537,"to_index":1540,"interior_indices":[1538,1539],"interior_values":[634,838],"sum":1472,"residue":489},{"from_index":1540,"to_index":1546,"interior_indices":[1541,1542,1543,1544,1545],"interior_values":[344,833,194,44,238],"sum":1653,"residue":670},{"from_index":1546,"to_index":1549,"interior_indices":[1547,1548],"interior_values":[520,802],"sum":1322,"residue":339},{"from_index":1549,"to_index":1556,"interior_indices":[1550,1551,1552,1553,1554,1555],"interior_values":[158,497,655,169,824,10],"sum":2313,"residue":347},{"from_index":1556,"to_index":1563,"interior_indices":[1557,1558,1559,1560,1561,1562],"interior_values":[844,695,556,268,824,109],"sum":3296,"residue":347},{"from_index":1563,"to_index":1565,"interior_indices":[1564],"interior_values":[59],"sum":59,"residue":59},{"from_index":1565,"to_index":1569,"interior_indices":[1566,1567,1568],"interior_values":[68,77,145],"sum":290,"residue":290},{"from_index":1569,"to_index":1575,"interior_indices":[1570,1571,1572,1573,1574],"interior_values":[367,589,956,562,535],"sum":3009,"residue":60},{"from_index":1575,"to_index":1578,"interior_indices":[1576,1577],"interior_values":[649,763],"sum":1412,"residue":429},{"from_index":1578,"to_index":1583,"interior_indices":[1579,1580,1581,1582],"interior_values":[209,638,847,502],"sum":2196,"residue":230},{"from_index":1583,"to_index":1587,"interior_indices":[1584,1585,1586],"interior_values":[868,251,136],"sum":1255,"residue":272},{"from_index":1587,"to_index":1590,"interior_indices":[1588,1589],"interior_values":[523,910],"sum":1433,"residue":450},{"from_index":1590,"to_index":1596,"interior_indices":[1591,1592,1593,1594,1595],"interior_values":[377,827,221,65,286],"sum":1776,"residue":793},{"from_index":1596,"to_index":1599,"interior_indices":[1597,1598],"interior_values":[637,5],"sum":642,"residue":642},{"from_index":1599,"to_index":1601,"interior_indices":[1600],"interior_values":[647],"sum":647,"residue":647},{"from_index":1601,"to_index":1603,"interior_indices":[1602],"interior_values":[953],"sum":953,"residue":953},{"from_index":1603,"to_index":1604,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1604,"to_index":1605,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1605,"to_index":1606,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1606,"to_index":1609,"interior_indices":[1607,1608],"interior_values":[307,92],"sum":399,"residue":399},{"from_index":1609,"to_index":1617,"interior_indices":[1610,1611,1612,1613,1614,1615,1616],"interior_values":[491,890,398,305,703,25,728],"sum":3540,"residue":591},{"from_index":1617,"to_index":1618,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1618,"to_index":1621,"interior_indices":[1619,1620],"interior_values":[268,766],"sum":1034,"residue":51},{"from_index":1621,"to_index":1624,"interior_indices":[1622,1623],"interior_values":[817,868],"sum":1685,"residue":702},{"from_index":1624,"to_index":1626,"interior_indices":[1625],"interior_values":[587],"sum":587,"residue":587},{"from_index":1626,"to_index":1628,"interior_indices":[1627],"interior_values":[893],"sum":893,"residue":893},{"from_index":1628,"to_index":1629,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1629,"to_index":1630,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1630,"to_index":1631,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1631,"to_index":1632,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1632,"to_index":1635,"interior_indices":[1633,1634],"interior_values":[295,122],"sum":417,"residue":417},{"from_index":1635,"to_index":1642,"interior_indices":[1636,1637,1638,1639,1640,1641],"interior_values":[539,956,512,485,14,499],"sum":3005,"residue":56},{"from_index":1642,"to_index":1648,"interior_indices":[1643,1644,1645,1646,1647],"interior_values":[29,542,571,130,701],"sum":1973,"residue":7},{"from_index":1648,"to_index":1649,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1649,"to_index":1652,"interior_indices":[1650,1651],"interior_values":[397,946],"sum":1343,"residue":360},{"from_index":1652,"to_index":1657,"interior_indices":[1653,1654,1655,1656],"interior_values":[323,683,23,706],"sum":1735,"residue":752},{"from_index":1657,"to_index":1659,"interior_indices":[1658],"interior_values":[452],"sum":452,"residue":452},{"from_index":1659,"to_index":1666,"interior_indices":[1660,1661,1662,1663,1664,1665],"interior_values":[650,848,515,380,895,292],"sum":3580,"residue":631},{"from_index":1666,"to_index":1669,"interior_indices":[1667,1668],"interior_values":[496,700],"sum":1196,"residue":213},{"from_index":1669,"to_index":1673,"interior_indices":[1670,1671,1672],"interior_values":[913,143,73],"sum":1129,"residue":146},{"from_index":1673,"to_index":1680,"interior_indices":[1674,1675,1676,1677,1678,1679],"interior_values":[289,505,794,316,127,443],"sum":2474,"residue":508},{"from_index":1680,"to_index":1681,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1681,"to_index":1682,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1682,"to_index":1683,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1683,"to_index":1686,"interior_indices":[1684,1685],"interior_values":[247,877],"sum":1124,"residue":141},{"from_index":1686,"to_index":1690,"interior_indices":[1687,1688,1689],"interior_values":[35,176,211],"sum":422,"residue":422},{"from_index":1690,"to_index":1693,"interior_indices":[1691,1692],"interior_values":[598,2],"sum":600,"residue":600},{"from_index":1693,"to_index":1695,"interior_indices":[1694],"interior_values":[602],"sum":602,"residue":602},{"from_index":1695,"to_index":1697,"interior_indices":[1696],"interior_values":[821],"sum":821,"residue":821},{"from_index":1697,"to_index":1706,"interior_indices":[1698,1699,1700,1701,1702,1703,1704,1705],"interior_values":[878,935,830,782,629,428,74,502],"sum":5058,"residue":143},{"from_index":1706,"to_index":1711,"interior_indices":[1707,1708,1709,1710],"interior_values":[95,671,766,454],"sum":1986,"residue":20},{"from_index":1711,"to_index":1714,"interior_indices":[1712,1713],"interior_values":[691,928],"sum":1619,"residue":636},{"from_index":1714,"to_index":1716,"interior_indices":[1715],"interior_values":[581],"sum":581,"residue":581},{"from_index":1716,"to_index":1718,"interior_indices":[1717],"interior_values":[815],"sum":815,"residue":815},{"from_index":1718,"to_index":1727,"interior_indices":[1719,1720,1721,1722,1723,1724,1725,1726],"interior_values":[881,947,845,809,671,497,185,682],"sum":5517,"residue":602},{"from_index":1727,"to_index":1729,"interior_indices":[1728],"interior_values":[566],"sum":566,"residue":566},{"from_index":1729,"to_index":1730,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1730,"to_index":1731,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1731,"to_index":1732,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1732,"to_index":1737,"interior_indices":[1733,1734,1735,1736],"interior_values":[16,532,548,97],"sum":1193,"residue":210},{"from_index":1737,"to_index":1741,"interior_indices":[1738,1739,1740],"interior_values":[742,404,163],"sum":1309,"residue":326},{"from_index":1741,"to_index":1745,"interior_indices":[1742,1743,1744],"interior_values":[730,314,61],"sum":1105,"residue":122},{"from_index":1745,"to_index":1748,"interior_indices":[1746,1747],"interior_values":[436,811],"sum":1247,"residue":264},{"from_index":1748,"to_index":1752,"interior_indices":[1749,1750,1751],"interior_values":[92,356,448],"sum":896,"residue":896},{"from_index":1752,"to_index":1754,"interior_indices":[1753],"interior_values":[269],"sum":269,"residue":269},{"from_index":1754,"to_index":1759,"interior_indices":[1755,1756,1757,1758],"interior_values":[359,449,808,274],"sum":1890,"residue":907},{"from_index":1759,"to_index":1766,"interior_indices":[1760,1761,1762,1763,1764,1765],"interior_values":[373,472,845,334,196,530],"sum":2750,"residue":784},{"from_index":1766,"to_index":1767,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1767,"to_index":1771,"interior_indices":[1768,1769,1770],"interior_values":[16,289,305],"sum":610,"residue":610},{"from_index":1771,"to_index":1773,"interior_indices":[1772],"interior_values":[899],"sum":899,"residue":899},{"from_index":1773,"to_index":1774,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1774,"to_index":1775,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1775,"to_index":1778,"interior_indices":[1776,1777],"interior_values":[379,332],"sum":711,"residue":711},{"from_index":1778,"to_index":1779,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1779,"to_index":1780,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1780,"to_index":1781,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1781,"to_index":1785,"interior_indices":[1782,1783,1784],"interior_values":[619,467,103],"sum":1189,"residue":206},{"from_index":1785,"to_index":1788,"interior_indices":[1786,1787],"interior_values":[673,260],"sum":933,"residue":933},{"from_index":1788,"to_index":1789,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1789,"to_index":1793,"interior_indices":[1790,1791,1792],"interior_values":[160,370,530],"sum":1060,"residue":77},{"from_index":1793,"to_index":1794,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1794,"to_index":1797,"interior_indices":[1795,1796],"interior_values":[364,811],"sum":1175,"residue":192},{"from_index":1797,"to_index":1801,"interior_indices":[1798,1799,1800],"interior_values":[20,212,232],"sum":464,"residue":464},{"from_index":1801,"to_index":1804,"interior_indices":[1802,1803],"interior_values":[676,137],"sum":813,"residue":813},{"from_index":1804,"to_index":1806,"interior_indices":[1805],"interior_values":[950],"sum":950,"residue":950},{"from_index":1806,"to_index":1807,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1807,"to_index":1810,"interior_indices":[1808,1809],"interior_values":[544,308],"sum":852,"residue":852},{"from_index":1810,"to_index":1811,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1811,"to_index":1815,"interior_indices":[1812,1813,1814],"interior_values":[46,223,269],"sum":538,"residue":538},{"from_index":1815,"to_index":1817,"interior_indices":[1816],"interior_values":[761],"sum":761,"residue":761},{"from_index":1817,"to_index":1818,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1818,"to_index":1819,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1819,"to_index":1820,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1820,"to_index":1821,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1821,"to_index":1827,"interior_indices":[1822,1823,1824,1825,1826],"interior_values":[67,751,818,586,421],"sum":2643,"residue":677},{"from_index":1827,"to_index":1835,"interior_indices":[1828,1829,1830,1831,1832,1833,1834],"interior_values":[445,469,914,400,331,731,79],"sum":3369,"residue":420},{"from_index":1835,"to_index":1845,"interior_indices":[1836,1837,1838,1839,1840,1841,1842,1843,1844],"interior_values":[889,716,622,355,977,349,343,692,52],"sum":4995,"residue":80},{"from_index":1845,"to_index":1849,"interior_indices":[1846,1847,1848],"interior_values":[796,557,370],"sum":1723,"residue":740},{"from_index":1849,"to_index":1851,"interior_indices":[1850],"interior_values":[314],"sum":314,"residue":314},{"from_index":1851,"to_index":1857,"interior_indices":[1852,1853,1854,1855,1856],"interior_values":[572,830,419,266,685],"sum":2772,"residue":806},{"from_index":1857,"to_index":1859,"interior_indices":[1858],"interior_values":[653],"sum":653,"residue":653},{"from_index":1859,"to_index":1860,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1860,"to_index":1861,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1861,"to_index":1864,"interior_indices":[1862,1863],"interior_values":[220,149],"sum":369,"residue":369},{"from_index":1864,"to_index":1872,"interior_indices":[1865,1866,1867,1868,1869,1870,1871],"interior_values":[518,887,422,326,748,91,839],"sum":3831,"residue":882},{"from_index":1872,"to_index":1873,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1873,"to_index":1877,"interior_indices":[1874,1875,1876],"interior_values":[733,536,286],"sum":1555,"residue":572},{"from_index":1877,"to_index":1883,"interior_indices":[1878,1879,1880,1881,1882],"interior_values":[125,947,89,53,142],"sum":1356,"residue":373},{"from_index":1883,"to_index":1891,"interior_indices":[1884,1885,1886,1887,1888,1889,1890],"interior_values":[337,532,869,418,304,722,43],"sum":3225,"residue":276},{"from_index":1891,"to_index":1897,"interior_indices":[1892,1893,1894,1895,1896],"interior_values":[808,590,415,22,437],"sum":2272,"residue":306},{"from_index":1897,"to_index":1899,"interior_indices":[1898],"interior_values":[896],"sum":896,"residue":896},{"from_index":1899,"to_index":1900,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1900,"to_index":1901,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1901,"to_index":1902,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1902,"to_index":1906,"interior_indices":[1903,1904,1905],"interior_values":[616,575,208],"sum":1399,"residue":416},{"from_index":1906,"to_index":1911,"interior_indices":[1907,1908,1909,1910],"interior_values":[8,791,799,607],"sum":2205,"residue":239},{"from_index":1911,"to_index":1917,"interior_indices":[1912,1913,1914,1915,1916],"interior_values":[47,470,517,4,521],"sum":1559,"residue":576},{"from_index":1917,"to_index":1918,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1918,"to_index":1919,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1919,"to_index":1920,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1920,"to_index":1923,"interior_indices":[1921,1922],"interior_values":[256,907],"sum":1163,"residue":180},{"from_index":1923,"to_index":1927,"interior_indices":[1924,1925,1926],"interior_values":[104,284,388],"sum":776,"residue":776},{"from_index":1927,"to_index":1932,"interior_indices":[1928,1929,1930,1931],"interior_values":[77,749,826,592],"sum":2244,"residue":278},{"from_index":1932,"to_index":1938,"interior_indices":[1933,1934,1935,1936,1937],"interior_values":[44,479,523,19,542],"sum":1607,"residue":624},{"from_index":1938,"to_index":1939,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1939,"to_index":1940,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1940,"to_index":1941,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1941,"to_index":1944,"interior_indices":[1942,1943],"interior_values":[499,317],"sum":816,"residue":816},{"from_index":1944,"to_index":1945,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1945,"to_index":1946,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1946,"to_index":1949,"interior_indices":[1947,1948],"interior_values":[133,116],"sum":249,"residue":249},{"from_index":1949,"to_index":1954,"interior_indices":[1950,1951,1952,1953],"interior_values":[365,614,979,610],"sum":2568,"residue":602},{"from_index":1954,"to_index":1962,"interior_indices":[1955,1956,1957,1958,1959,1960,1961],"interior_values":[233,839,89,928,34,962,13],"sum":3098,"residue":149},{"from_index":1962,"to_index":0,"interior_indices":[1963,1964,1965,1966,1967],"interior_values":[5,980,2,982,1],"sum":1970,"residue":4}],"minimal_cycle":[4,26,178,855,0,0,150,968,302,485,124,0,879,0,664,920,0,940,0,192,416,657,698,0,0,0,372,793,195,894,947,0,500,566,422,78,692,0,0,564,830,0,0,0,374,646,543,721,24,165,684,617,935,0,0,0,177,878,784,963,0,89,0,210,620,728,212,225,557,0,0,0,273,925,99,534,182,203,506,482,402,950,0,0,486,671,845,595,312,21,428,782,935,0,0,0,0,0,0,422,524,383,62,216,140,352,848,0,0,0,300,512,311,15,485,956,0,0,468,641,307,970,0,610,890,0,0,522,737,0,0,0,0,0,572,221,314,230,345,877,27,222,915,0,0,0,20,20,11,0,657,194,59,327,75,503,980,0,0,828,0,820,0,0,66,356,273,818,481,108,675,575,842,968,0,0,0,0,0,510,680,887,0,0,0,0,0,0,27,864,926,0,915,0,561,887,821,0,240,117,512,0,0,0,0,882,0,580,0,0,0,768,0,159,278,159,924,974,0,643,880,0,366,543,0,0,0,692,341,677,830,584,0,0,0,255,192,677,692,566,0,0,0,0,954,0,282,849,0,0,531,785,0,0,0,219,883,540,837,0,770,383,764,926,0,0,0,0,0,0,888,0,220,749,917,0,0,0,0,0,0,417,919,482,506,19,0,714,893,0,923,453,662,389,698,940,620,293,235,0,614,170,878,668,491,445,21,252,188,6,291,374,669,725,0,0,0,330,905,614,0,0,0,144,500,858,0,0,0,760,261,350,546,524,77,975,0,137,0,462,762,0,906,0,113,0,441,287,884,734,0,754,0,0,21,978,0,0,0,981,980,0,860,839,0,369,99,833,0,681,863,0,958,0,234,776,575,395,509,223,0,734,326,895,86,507,89,572,930,0,652,887,0,0,291,749,419,71,104,255,158,82,665,897,0,780,0,0,0,464,275,193,0,206,771,923,0,426,537,0,424,0,0,0,891,0,294,326,194,516,500,914,497,809,947,0,0,0,0,0,868,0,555,629,830,829,948,0,706,953,0,246,904,603,515,881,683,0,868,0,101,0,498,512,932,515,857,0,0,0,0,396,653,398,860,461,727,762,827,0,345,795,0,402,277,546,317,101,789,833,0,904,0,480,506,626,488,40,0,942,0,807,0,0,0,959,716,857,569,473,776,331,678,119,818,95,927,0,172,178,0,471,104,961,489,670,339,347,347,59,290,60,429,230,272,450,793,642,647,953,0,0,0,399,591,0,51,702,587,893,0,0,0,0,417,56,7,0,360,752,452,631,213,146,508,0,0,0,141,422,600,602,821,143,20,636,581,815,602,566,0,0,0,210,326,122,264,896,269,907,784,0,610,899,0,0,711,0,0,0,206,933,0,77,0,192,464,813,950,0,852,0,538,761,0,0,0,0,677,420,80,740,314,806,653,0,0,369,882,0,572,373,276,306,896,0,0,0,416,239,576,0,0,0,180,776,278,624,0,0,0,816,0,0,249,602,149,4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[1968,4],"start_interval_values":[1,1,2],"circle_positions":983,"cycle_length":658,"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":[0,656,1312],"clock_positions":[1968,656,1312],"native_values":[983,969,14],"rotation_degrees":0.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[983,969,14],"beta":{"interval_sums":[314060,333265,317981],"interval_residues":[483,28,472],"display_cycle":[483,28,472],"intervals":[{"from_index":0,"to_index":656,"sum":314060,"residue":483},{"from_index":656,"to_index":1312,"sum":333265,"residue":28},{"from_index":1312,"to_index":0,"sum":317981,"residue":472}],"minimal_cycle":[483,28,472],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":483,"start_interval_clock_positions":[1968,656],"circle_positions":983,"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":[1,657,1313],"clock_positions":[1,657,1313],"native_values":[1,484,498],"rotation_degrees":0.18292682926829268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,484,498],"beta":{"interval_sums":[315028,332795,317483],"interval_residues":[468,541,957],"display_cycle":[468,541,957],"intervals":[{"from_index":1,"to_index":657,"sum":315028,"residue":468},{"from_index":657,"to_index":1313,"sum":332795,"residue":541},{"from_index":1313,"to_index":1,"sum":317483,"residue":957}],"minimal_cycle":[468,541,957],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[1,657],"circle_positions":983,"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":[2,658,1314],"clock_positions":[2,658,1314],"native_values":[1,470,512],"rotation_degrees":0.36585365853658536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,470,512],"beta":{"interval_sums":[315511,332823,316972],"interval_residues":[951,569,446],"display_cycle":[951,569,446],"intervals":[{"from_index":2,"to_index":658,"sum":315511,"residue":951},{"from_index":658,"to_index":1314,"sum":332823,"residue":569},{"from_index":1314,"to_index":2,"sum":316972,"residue":446}],"minimal_cycle":[951,569,446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":951,"start_interval_clock_positions":[2,658],"circle_positions":983,"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":[3,659,1315],"clock_positions":[3,659,1315],"native_values":[2,954,27],"rotation_degrees":0.5487804878048781,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,954,27],"beta":{"interval_sums":[315979,332381,316946],"interval_residues":[436,127,420],"display_cycle":[436,127,420],"intervals":[{"from_index":3,"to_index":659,"sum":315979,"residue":436},{"from_index":659,"to_index":1315,"sum":332381,"residue":127},{"from_index":1315,"to_index":3,"sum":316946,"residue":420}],"minimal_cycle":[436,127,420],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[3,659],"circle_positions":983,"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":[4,660,1316],"clock_positions":[4,660,1316],"native_values":[3,441,539],"rotation_degrees":0.7317073170731707,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,441,539],"beta":{"interval_sums":[316930,331967,316409],"interval_residues":[404,696,866],"display_cycle":[404,696,866],"intervals":[{"from_index":4,"to_index":660,"sum":316930,"residue":404},{"from_index":660,"to_index":1316,"sum":331967,"residue":696},{"from_index":1316,"to_index":4,"sum":316409,"residue":866}],"minimal_cycle":[404,696,866],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":404,"start_interval_clock_positions":[4,660],"circle_positions":983,"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":[5,661,1317],"clock_positions":[5,661,1317],"native_values":[5,412,566],"rotation_degrees":0.9146341463414634,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,412,566],"beta":{"interval_sums":[317366,332094,315846],"interval_residues":[840,823,303],"display_cycle":[840,823,303],"intervals":[{"from_index":5,"to_index":661,"sum":317366,"residue":840},{"from_index":661,"to_index":1317,"sum":332094,"residue":823},{"from_index":1317,"to_index":5,"sum":315846,"residue":303}],"minimal_cycle":[840,823,303],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":840,"start_interval_clock_positions":[5,661],"circle_positions":983,"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":[6,662,1318],"clock_positions":[6,662,1318],"native_values":[8,853,122],"rotation_degrees":1.0975609756097562,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,853,122],"beta":{"interval_sums":[317770,331807,315729],"interval_residues":[261,536,186],"display_cycle":[261,536,186],"intervals":[{"from_index":6,"to_index":662,"sum":317770,"residue":261},{"from_index":662,"to_index":1318,"sum":331807,"residue":536},{"from_index":1318,"to_index":6,"sum":315729,"residue":186}],"minimal_cycle":[261,536,186],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":261,"start_interval_clock_positions":[6,662],"circle_positions":983,"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":[7,663,1319],"clock_positions":[7,663,1319],"native_values":[13,282,688],"rotation_degrees":1.2804878048780488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,282,688],"beta":{"interval_sums":[318610,331647,315049],"interval_residues":[118,376,489],"display_cycle":[118,376,489],"intervals":[{"from_index":7,"to_index":663,"sum":318610,"residue":118},{"from_index":663,"to_index":1319,"sum":331647,"residue":376},{"from_index":1319,"to_index":7,"sum":315049,"residue":489}],"minimal_cycle":[118,376,489],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":118,"start_interval_clock_positions":[7,663],"circle_positions":983,"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":[8,664,1320],"clock_positions":[8,664,1320],"native_values":[21,152,810],"rotation_degrees":1.4634146341463414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,152,810],"beta":{"interval_sums":[318871,332183,314252],"interval_residues":[379,912,675],"display_cycle":[379,912,675],"intervals":[{"from_index":8,"to_index":664,"sum":318871,"residue":379},{"from_index":664,"to_index":1320,"sum":332183,"residue":912},{"from_index":1320,"to_index":8,"sum":314252,"residue":675}],"minimal_cycle":[379,912,675],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":379,"start_interval_clock_positions":[8,664],"circle_positions":983,"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":[9,665,1321],"clock_positions":[9,665,1321],"native_values":[34,434,515],"rotation_degrees":1.646341463414634,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,434,515],"beta":{"interval_sums":[318989,332559,313758],"interval_residues":[497,305,181],"display_cycle":[497,305,181],"intervals":[{"from_index":9,"to_index":665,"sum":318989,"residue":497},{"from_index":665,"to_index":1321,"sum":332559,"residue":305},{"from_index":1321,"to_index":9,"sum":313758,"residue":181}],"minimal_cycle":[497,305,181],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":497,"start_interval_clock_positions":[9,665],"circle_positions":983,"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":[10,666,1322],"clock_positions":[10,666,1322],"native_values":[55,586,342],"rotation_degrees":1.829268292682927,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,586,342],"beta":{"interval_sums":[319368,332488,313450],"interval_residues":[876,234,856],"display_cycle":[876,234,856],"intervals":[{"from_index":10,"to_index":666,"sum":319368,"residue":876},{"from_index":666,"to_index":1322,"sum":332488,"residue":234},{"from_index":1322,"to_index":10,"sum":313450,"residue":856}],"minimal_cycle":[876,234,856],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":876,"start_interval_clock_positions":[10,666],"circle_positions":983,"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":[11,667,1323],"clock_positions":[11,667,1323],"native_values":[89,37,857],"rotation_degrees":2.0121951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,37,857],"beta":{"interval_sums":[319865,332793,312648],"interval_residues":[390,539,54],"display_cycle":[390,539,54],"intervals":[{"from_index":11,"to_index":667,"sum":319865,"residue":390},{"from_index":667,"to_index":1323,"sum":332793,"residue":539},{"from_index":1323,"to_index":11,"sum":312648,"residue":54}],"minimal_cycle":[390,539,54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":390,"start_interval_clock_positions":[11,667],"circle_positions":983,"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":[12,668,1324],"clock_positions":[12,668,1324],"native_values":[144,623,216],"rotation_degrees":2.1951219512195124,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,623,216],"beta":{"interval_sums":[319758,333027,312521],"interval_residues":[283,773,910],"display_cycle":[283,773,910],"intervals":[{"from_index":12,"to_index":668,"sum":319758,"residue":283},{"from_index":668,"to_index":1324,"sum":333027,"residue":773},{"from_index":1324,"to_index":12,"sum":312521,"residue":910}],"minimal_cycle":[283,773,910],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":283,"start_interval_clock_positions":[12,668],"circle_positions":983,"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":[13,669,1325],"clock_positions":[13,669,1325],"native_values":[233,660,90],"rotation_degrees":2.3780487804878048,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,660,90],"beta":{"interval_sums":[320148,332583,312575],"interval_residues":[673,329,964],"display_cycle":[673,329,964],"intervals":[{"from_index":13,"to_index":669,"sum":320148,"residue":673},{"from_index":669,"to_index":1325,"sum":332583,"residue":329},{"from_index":1325,"to_index":13,"sum":312575,"residue":964}],"minimal_cycle":[673,329,964],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":673,"start_interval_clock_positions":[13,669],"circle_positions":983,"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":[14,670,1326],"clock_positions":[14,670,1326],"native_values":[377,300,306],"rotation_degrees":2.5609756097560976,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,300,306],"beta":{"interval_sums":[320431,332373,312502],"interval_residues":[956,119,891],"display_cycle":[956,119,891],"intervals":[{"from_index":14,"to_index":670,"sum":320431,"residue":956},{"from_index":670,"to_index":1326,"sum":332373,"residue":119},{"from_index":1326,"to_index":14,"sum":312502,"residue":891}],"minimal_cycle":[956,119,891],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":956,"start_interval_clock_positions":[14,670],"circle_positions":983,"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":[15,671,1327],"clock_positions":[15,671,1327],"native_values":[610,960,396],"rotation_degrees":2.7439024390243905,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,960,396],"beta":{"interval_sums":[320121,331719,312483],"interval_residues":[646,448,872],"display_cycle":[646,448,872],"intervals":[{"from_index":15,"to_index":671,"sum":320121,"residue":646},{"from_index":671,"to_index":1327,"sum":331719,"residue":448},{"from_index":1327,"to_index":15,"sum":312483,"residue":872}],"minimal_cycle":[646,448,872],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":646,"start_interval_clock_positions":[15,671],"circle_positions":983,"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":[16,672,1328],"clock_positions":[16,672,1328],"native_values":[4,277,702],"rotation_degrees":2.926829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[4,277,702],"beta":{"interval_sums":[321077,331838,312391],"interval_residues":[619,567,780],"display_cycle":[619,567,780],"intervals":[{"from_index":16,"to_index":672,"sum":321077,"residue":619},{"from_index":672,"to_index":1328,"sum":331838,"residue":567},{"from_index":1328,"to_index":16,"sum":312391,"residue":780}],"minimal_cycle":[619,567,780],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":619,"start_interval_clock_positions":[16,672],"circle_positions":983,"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":[17,673,1329],"clock_positions":[17,673,1329],"native_values":[614,254,115],"rotation_degrees":3.1097560975609757,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[614,254,115],"beta":{"interval_sums":[320740,332286,312280],"interval_residues":[282,32,669],"display_cycle":[282,32,669],"intervals":[{"from_index":17,"to_index":673,"sum":320740,"residue":282},{"from_index":673,"to_index":1329,"sum":332286,"residue":32},{"from_index":1329,"to_index":17,"sum":312280,"residue":669}],"minimal_cycle":[282,32,669],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":282,"start_interval_clock_positions":[17,673],"circle_positions":983,"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":[18,674,1330],"clock_positions":[18,674,1330],"native_values":[618,531,817],"rotation_degrees":3.292682926829268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[618,531,817],"beta":{"interval_sums":[320376,331870,312077],"interval_residues":[901,599,466],"display_cycle":[901,599,466],"intervals":[{"from_index":18,"to_index":674,"sum":320376,"residue":901},{"from_index":674,"to_index":1330,"sum":331870,"residue":599},{"from_index":1330,"to_index":18,"sum":312077,"residue":466}],"minimal_cycle":[901,599,466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":901,"start_interval_clock_positions":[18,674],"circle_positions":983,"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":[19,675,1331],"clock_positions":[19,675,1331],"native_values":[249,785,932],"rotation_degrees":3.475609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,785,932],"beta":{"interval_sums":[320658,331902,311763],"interval_residues":[200,631,152],"display_cycle":[200,631,152],"intervals":[{"from_index":19,"to_index":675,"sum":320658,"residue":200},{"from_index":675,"to_index":1331,"sum":331902,"residue":631},{"from_index":1331,"to_index":19,"sum":311763,"residue":152}],"minimal_cycle":[200,631,152],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[19,675],"circle_positions":983,"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":[20,676,1332],"clock_positions":[20,676,1332],"native_values":[867,333,766],"rotation_degrees":3.658536585365854,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[867,333,766],"beta":{"interval_sums":[320576,332501,311246],"interval_residues":[118,247,618],"display_cycle":[118,247,618],"intervals":[{"from_index":20,"to_index":676,"sum":320576,"residue":118},{"from_index":676,"to_index":1332,"sum":332501,"residue":247},{"from_index":1332,"to_index":20,"sum":311246,"residue":618}],"minimal_cycle":[118,247,618],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":118,"start_interval_clock_positions":[20,676],"circle_positions":983,"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":[21,677,1333],"clock_positions":[21,677,1333],"native_values":[133,135,715],"rotation_degrees":3.841463414634146,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,135,715],"beta":{"interval_sums":[320776,333132,311398],"interval_residues":[318,878,770],"display_cycle":[318,878,770],"intervals":[{"from_index":21,"to_index":677,"sum":320776,"residue":318},{"from_index":677,"to_index":1333,"sum":333132,"residue":878},{"from_index":1333,"to_index":21,"sum":311398,"residue":770}],"minimal_cycle":[318,878,770],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":318,"start_interval_clock_positions":[21,677],"circle_positions":983,"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":[22,678,1334],"clock_positions":[22,678,1334],"native_values":[17,468,498],"rotation_degrees":4.024390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,468,498],"beta":{"interval_sums":[320894,333379,311033],"interval_residues":[436,142,405],"display_cycle":[436,142,405],"intervals":[{"from_index":22,"to_index":678,"sum":320894,"residue":436},{"from_index":678,"to_index":1334,"sum":333379,"residue":142},{"from_index":1334,"to_index":22,"sum":311033,"residue":405}],"minimal_cycle":[436,142,405],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[22,678],"circle_positions":983,"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":[23,679,1335],"clock_positions":[23,679,1335],"native_values":[150,603,230],"rotation_degrees":4.2073170731707314,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[150,603,230],"beta":{"interval_sums":[321212,333274,310820],"interval_residues":[754,37,192],"display_cycle":[754,37,192],"intervals":[{"from_index":23,"to_index":679,"sum":321212,"residue":754},{"from_index":679,"to_index":1335,"sum":333274,"residue":37},{"from_index":1335,"to_index":23,"sum":310820,"residue":192}],"minimal_cycle":[754,37,192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":754,"start_interval_clock_positions":[23,679],"circle_positions":983,"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":[24,680,1336],"clock_positions":[24,680,1336],"native_values":[167,88,728],"rotation_degrees":4.390243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,88,728],"beta":{"interval_sums":[321648,333416,310242],"interval_residues":[207,179,597],"display_cycle":[207,179,597],"intervals":[{"from_index":24,"to_index":680,"sum":321648,"residue":207},{"from_index":680,"to_index":1336,"sum":333416,"residue":179},{"from_index":1336,"to_index":24,"sum":310242,"residue":597}],"minimal_cycle":[207,179,597],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":207,"start_interval_clock_positions":[24,680],"circle_positions":983,"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":[25,681,1337],"clock_positions":[25,681,1337],"native_values":[317,691,958],"rotation_degrees":4.573170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,691,958],"beta":{"interval_sums":[321419,333453,309451],"interval_residues":[961,216,789],"display_cycle":[961,216,789],"intervals":[{"from_index":25,"to_index":681,"sum":321419,"residue":961},{"from_index":681,"to_index":1337,"sum":333453,"residue":216},{"from_index":1337,"to_index":25,"sum":309451,"residue":789}],"minimal_cycle":[961,216,789],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":961,"start_interval_clock_positions":[25,681],"circle_positions":983,"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":[26,682,1338],"clock_positions":[26,682,1338],"native_values":[484,779,703],"rotation_degrees":4.7560975609756095,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[484,779,703],"beta":{"interval_sums":[321626,333632,309065],"interval_residues":[185,395,403],"display_cycle":[185,395,403],"intervals":[{"from_index":26,"to_index":682,"sum":321626,"residue":185},{"from_index":682,"to_index":1338,"sum":333632,"residue":395},{"from_index":1338,"to_index":26,"sum":309065,"residue":403}],"minimal_cycle":[185,395,403],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":185,"start_interval_clock_positions":[26,682],"circle_positions":983,"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":[27,683,1339],"clock_positions":[27,683,1339],"native_values":[801,487,678],"rotation_degrees":4.939024390243903,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[801,487,678],"beta":{"interval_sums":[321604,333848,308871],"interval_residues":[163,611,209],"display_cycle":[163,611,209],"intervals":[{"from_index":27,"to_index":683,"sum":321604,"residue":163},{"from_index":683,"to_index":1339,"sum":333848,"residue":611},{"from_index":1339,"to_index":27,"sum":308871,"residue":209}],"minimal_cycle":[163,611,209],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":163,"start_interval_clock_positions":[27,683],"circle_positions":983,"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":[28,684,1340],"clock_positions":[28,684,1340],"native_values":[302,283,398],"rotation_degrees":5.121951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[302,283,398],"beta":{"interval_sums":[321789,334243,309274],"interval_residues":[348,23,612],"display_cycle":[348,23,612],"intervals":[{"from_index":28,"to_index":684,"sum":321789,"residue":348},{"from_index":684,"to_index":1340,"sum":334243,"residue":23},{"from_index":1340,"to_index":28,"sum":309274,"residue":612}],"minimal_cycle":[348,23,612],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[28,684],"circle_positions":983,"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":[29,685,1341],"clock_positions":[29,685,1341],"native_values":[120,770,93],"rotation_degrees":5.304878048780488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[120,770,93],"beta":{"interval_sums":[321952,333871,309483],"interval_residues":[511,634,821],"display_cycle":[511,634,821],"intervals":[{"from_index":29,"to_index":685,"sum":321952,"residue":511},{"from_index":685,"to_index":1341,"sum":333871,"residue":634},{"from_index":1341,"to_index":29,"sum":309483,"residue":821}],"minimal_cycle":[511,634,821],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":511,"start_interval_clock_positions":[29,685],"circle_positions":983,"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":[30,686,1342],"clock_positions":[30,686,1342],"native_values":[422,70,491],"rotation_degrees":5.487804878048781,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[422,70,491],"beta":{"interval_sums":[322300,333894,309112],"interval_residues":[859,657,450],"display_cycle":[859,657,450],"intervals":[{"from_index":30,"to_index":686,"sum":322300,"residue":859},{"from_index":686,"to_index":1342,"sum":333894,"residue":657},{"from_index":1342,"to_index":30,"sum":309112,"residue":450}],"minimal_cycle":[859,657,450],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":859,"start_interval_clock_positions":[30,686],"circle_positions":983,"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":[31,687,1343],"clock_positions":[31,687,1343],"native_values":[542,840,584],"rotation_degrees":5.670731707317073,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[542,840,584],"beta":{"interval_sums":[321828,333545,308950],"interval_residues":[387,308,288],"display_cycle":[387,308,288],"intervals":[{"from_index":31,"to_index":687,"sum":321828,"residue":387},{"from_index":687,"to_index":1343,"sum":333545,"residue":308},{"from_index":1343,"to_index":31,"sum":308950,"residue":288}],"minimal_cycle":[387,308,288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":387,"start_interval_clock_positions":[31,687],"circle_positions":983,"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":[32,688,1344],"clock_positions":[32,688,1344],"native_values":[964,910,92],"rotation_degrees":5.853658536585366,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[964,910,92],"beta":{"interval_sums":[321704,333219,309400],"interval_residues":[263,965,738],"display_cycle":[263,965,738],"intervals":[{"from_index":32,"to_index":688,"sum":321704,"residue":263},{"from_index":688,"to_index":1344,"sum":333219,"residue":965},{"from_index":1344,"to_index":32,"sum":309400,"residue":738}],"minimal_cycle":[263,965,738],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":263,"start_interval_clock_positions":[32,688],"circle_positions":983,"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":[33,689,1345],"clock_positions":[33,689,1345],"native_values":[523,767,676],"rotation_degrees":6.036585365853658,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,767,676],"beta":{"interval_sums":[322091,332544,309688],"interval_residues":[650,290,43],"display_cycle":[650,290,43],"intervals":[{"from_index":33,"to_index":689,"sum":322091,"residue":650},{"from_index":689,"to_index":1345,"sum":332544,"residue":290},{"from_index":1345,"to_index":33,"sum":309688,"residue":43}],"minimal_cycle":[650,290,43],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":650,"start_interval_clock_positions":[33,689],"circle_positions":983,"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":[34,690,1346],"clock_positions":[34,690,1346],"native_values":[504,694,768],"rotation_degrees":6.219512195121951,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[504,694,768],"beta":{"interval_sums":[322354,332526,309443],"interval_residues":[913,272,781],"display_cycle":[913,272,781],"intervals":[{"from_index":34,"to_index":690,"sum":322354,"residue":913},{"from_index":690,"to_index":1346,"sum":332526,"residue":272},{"from_index":1346,"to_index":34,"sum":309443,"residue":781}],"minimal_cycle":[913,272,781],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":913,"start_interval_clock_positions":[34,690],"circle_positions":983,"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":[35,691,1347],"clock_positions":[35,691,1347],"native_values":[44,478,461],"rotation_degrees":6.402439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[44,478,461],"beta":{"interval_sums":[323004,332816,309486],"interval_residues":[580,562,824],"display_cycle":[580,562,824],"intervals":[{"from_index":35,"to_index":691,"sum":323004,"residue":580},{"from_index":691,"to_index":1347,"sum":332816,"residue":562},{"from_index":1347,"to_index":35,"sum":309486,"residue":824}],"minimal_cycle":[580,562,824],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":580,"start_interval_clock_positions":[35,691],"circle_positions":983,"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":[36,692,1348],"clock_positions":[36,692,1348],"native_values":[548,189,246],"rotation_degrees":6.585365853658536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[548,189,246],"beta":{"interval_sums":[322934,333088,309284],"interval_residues":[510,834,622],"display_cycle":[510,834,622],"intervals":[{"from_index":36,"to_index":692,"sum":322934,"residue":510},{"from_index":692,"to_index":1348,"sum":333088,"residue":834},{"from_index":1348,"to_index":36,"sum":309284,"residue":622}],"minimal_cycle":[510,834,622],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[36,692],"circle_positions":983,"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":[37,693,1349],"clock_positions":[37,693,1349],"native_values":[592,667,707],"rotation_degrees":6.7682926829268295,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[592,667,707],"beta":{"interval_sums":[322531,332667,309125],"interval_residues":[107,413,463],"display_cycle":[107,413,463],"intervals":[{"from_index":37,"to_index":693,"sum":322531,"residue":107},{"from_index":693,"to_index":1349,"sum":332667,"residue":413},{"from_index":1349,"to_index":37,"sum":309125,"residue":463}],"minimal_cycle":[107,413,463],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":107,"start_interval_clock_positions":[37,693],"circle_positions":983,"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":[38,694,1350],"clock_positions":[38,694,1350],"native_values":[157,856,953],"rotation_degrees":6.951219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,856,953],"beta":{"interval_sums":[323041,332518,308764],"interval_residues":[617,264,102],"display_cycle":[617,264,102],"intervals":[{"from_index":38,"to_index":694,"sum":323041,"residue":617},{"from_index":694,"to_index":1350,"sum":332518,"residue":264},{"from_index":1350,"to_index":38,"sum":308764,"residue":102}],"minimal_cycle":[617,264,102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":617,"start_interval_clock_positions":[38,694],"circle_positions":983,"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":[39,695,1351],"clock_positions":[39,695,1351],"native_values":[749,540,677],"rotation_degrees":7.134146341463414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[749,540,677],"beta":{"interval_sums":[323148,332931,308244],"interval_residues":[724,677,565],"display_cycle":[724,677,565],"intervals":[{"from_index":39,"to_index":695,"sum":323148,"residue":724},{"from_index":695,"to_index":1351,"sum":332931,"residue":677},{"from_index":1351,"to_index":39,"sum":308244,"residue":565}],"minimal_cycle":[724,677,565],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":724,"start_interval_clock_positions":[39,695],"circle_positions":983,"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":[40,696,1352],"clock_positions":[40,696,1352],"native_values":[906,413,647],"rotation_degrees":7.317073170731708,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[906,413,647],"beta":{"interval_sums":[322782,333195,308346],"interval_residues":[358,941,667],"display_cycle":[358,941,667],"intervals":[{"from_index":40,"to_index":696,"sum":322782,"residue":358},{"from_index":696,"to_index":1352,"sum":333195,"residue":941},{"from_index":1352,"to_index":40,"sum":308346,"residue":667}],"minimal_cycle":[358,941,667],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":358,"start_interval_clock_positions":[40,696],"circle_positions":983,"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":[41,697,1353],"clock_positions":[41,697,1353],"native_values":[672,953,341],"rotation_degrees":7.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[672,953,341],"beta":{"interval_sums":[322523,332889,308911],"interval_residues":[99,635,249],"display_cycle":[99,635,249],"intervals":[{"from_index":41,"to_index":697,"sum":322523,"residue":99},{"from_index":697,"to_index":1353,"sum":332889,"residue":635},{"from_index":1353,"to_index":41,"sum":308911,"residue":249}],"minimal_cycle":[99,635,249],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":99,"start_interval_clock_positions":[41,697],"circle_positions":983,"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":[42,698,1354],"clock_positions":[42,698,1354],"native_values":[595,383,5],"rotation_degrees":7.682926829268292,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[595,383,5],"beta":{"interval_sums":[322881,332847,309578],"interval_residues":[457,593,916],"display_cycle":[457,593,916],"intervals":[{"from_index":42,"to_index":698,"sum":322881,"residue":457},{"from_index":698,"to_index":1354,"sum":332847,"residue":593},{"from_index":1354,"to_index":42,"sum":309578,"residue":916}],"minimal_cycle":[457,593,916],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":457,"start_interval_clock_positions":[42,698],"circle_positions":983,"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":[43,699,1355],"clock_positions":[43,699,1355],"native_values":[284,353,346],"rotation_degrees":7.865853658536586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[284,353,346],"beta":{"interval_sums":[322980,332499,309827],"interval_residues":[556,245,182],"display_cycle":[556,245,182],"intervals":[{"from_index":43,"to_index":699,"sum":322980,"residue":556},{"from_index":699,"to_index":1355,"sum":332499,"residue":245},{"from_index":1355,"to_index":43,"sum":309827,"residue":182}],"minimal_cycle":[556,245,182],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":556,"start_interval_clock_positions":[43,699],"circle_positions":983,"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":[44,700,1356],"clock_positions":[44,700,1356],"native_values":[879,736,351],"rotation_degrees":8.048780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[879,736,351],"beta":{"interval_sums":[322454,332109,309760],"interval_residues":[30,838,115],"display_cycle":[30,838,115],"intervals":[{"from_index":44,"to_index":700,"sum":322454,"residue":30},{"from_index":700,"to_index":1356,"sum":332109,"residue":838},{"from_index":1356,"to_index":44,"sum":309760,"residue":115}],"minimal_cycle":[30,838,115],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[44,700],"circle_positions":983,"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":[45,701,1357],"clock_positions":[45,701,1357],"native_values":[180,106,697],"rotation_degrees":8.231707317073171,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,106,697],"beta":{"interval_sums":[323010,332354,309942],"interval_residues":[586,100,297],"display_cycle":[586,100,297],"intervals":[{"from_index":45,"to_index":701,"sum":323010,"residue":586},{"from_index":701,"to_index":1357,"sum":332354,"residue":100},{"from_index":1357,"to_index":45,"sum":309942,"residue":297}],"minimal_cycle":[586,100,297],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[45,701],"circle_positions":983,"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":[46,702,1358],"clock_positions":[46,702,1358],"native_values":[76,842,65],"rotation_degrees":8.414634146341463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[76,842,65],"beta":{"interval_sums":[323040,332209,310057],"interval_residues":[616,938,412],"display_cycle":[616,938,412],"intervals":[{"from_index":46,"to_index":702,"sum":323040,"residue":616},{"from_index":702,"to_index":1358,"sum":332209,"residue":938},{"from_index":1358,"to_index":46,"sum":310057,"residue":412}],"minimal_cycle":[616,938,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":616,"start_interval_clock_positions":[46,702],"circle_positions":983,"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":[47,703,1359],"clock_positions":[47,703,1359],"native_values":[256,948,762],"rotation_degrees":8.597560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[256,948,762],"beta":{"interval_sums":[323626,331326,309371],"interval_residues":[219,55,709],"display_cycle":[219,55,709],"intervals":[{"from_index":47,"to_index":703,"sum":323626,"residue":219},{"from_index":703,"to_index":1359,"sum":331326,"residue":55},{"from_index":1359,"to_index":47,"sum":309371,"residue":709}],"minimal_cycle":[219,55,709],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":219,"start_interval_clock_positions":[47,703],"circle_positions":983,"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":[48,704,1360],"clock_positions":[48,704,1360],"native_values":[332,807,827],"rotation_degrees":8.78048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[332,807,827],"beta":{"interval_sums":[324242,331281,308800],"interval_residues":[835,10,138],"display_cycle":[835,10,138],"intervals":[{"from_index":48,"to_index":704,"sum":324242,"residue":835},{"from_index":704,"to_index":1360,"sum":331281,"residue":10},{"from_index":1360,"to_index":48,"sum":308800,"residue":138}],"minimal_cycle":[835,10,138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":835,"start_interval_clock_positions":[48,704],"circle_positions":983,"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":[49,705,1361],"clock_positions":[49,705,1361],"native_values":[588,772,606],"rotation_degrees":8.963414634146341,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[588,772,606],"beta":{"interval_sums":[324461,331336,308526],"interval_residues":[71,65,847],"display_cycle":[71,65,847],"intervals":[{"from_index":49,"to_index":705,"sum":324461,"residue":71},{"from_index":705,"to_index":1361,"sum":331336,"residue":65},{"from_index":1361,"to_index":49,"sum":308526,"residue":847}],"minimal_cycle":[71,65,847],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":71,"start_interval_clock_positions":[49,705],"circle_positions":983,"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":[50,706,1362],"clock_positions":[50,706,1362],"native_values":[920,596,450],"rotation_degrees":9.146341463414634,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[920,596,450],"beta":{"interval_sums":[324313,331346,308664],"interval_residues":[906,75,2],"display_cycle":[906,75,2],"intervals":[{"from_index":50,"to_index":706,"sum":324313,"residue":906},{"from_index":706,"to_index":1362,"sum":331346,"residue":75},{"from_index":1362,"to_index":50,"sum":308664,"residue":2}],"minimal_cycle":[906,75,2],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":906,"start_interval_clock_positions":[50,706],"circle_positions":983,"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":[51,707,1363],"clock_positions":[51,707,1363],"native_values":[525,385,73],"rotation_degrees":9.329268292682928,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[525,385,73],"beta":{"interval_sums":[324384,331411,309511],"interval_residues":[977,140,849],"display_cycle":[977,140,849],"intervals":[{"from_index":51,"to_index":707,"sum":324384,"residue":977},{"from_index":707,"to_index":1363,"sum":331411,"residue":140},{"from_index":1363,"to_index":51,"sum":309511,"residue":849}],"minimal_cycle":[977,140,849],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":977,"start_interval_clock_positions":[51,707],"circle_positions":983,"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":[52,708,1364],"clock_positions":[52,708,1364],"native_values":[462,981,523],"rotation_degrees":9.512195121951219,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[462,981,523],"beta":{"interval_sums":[324307,330503,309513],"interval_residues":[900,215,851],"display_cycle":[900,215,851],"intervals":[{"from_index":52,"to_index":708,"sum":324307,"residue":900},{"from_index":708,"to_index":1364,"sum":330503,"residue":215},{"from_index":1364,"to_index":52,"sum":309513,"residue":851}],"minimal_cycle":[900,215,851],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":900,"start_interval_clock_positions":[52,708],"circle_positions":983,"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":[53,709,1365],"clock_positions":[53,709,1365],"native_values":[4,383,596],"rotation_degrees":9.695121951219512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[4,383,596],"beta":{"interval_sums":[325284,330643,309379],"interval_residues":[894,355,717],"display_cycle":[894,355,717],"intervals":[{"from_index":53,"to_index":709,"sum":325284,"residue":894},{"from_index":709,"to_index":1365,"sum":330643,"residue":355},{"from_index":1365,"to_index":53,"sum":309379,"residue":717}],"minimal_cycle":[894,355,717],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":894,"start_interval_clock_positions":[53,709],"circle_positions":983,"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":[54,710,1366],"clock_positions":[54,710,1366],"native_values":[466,381,136],"rotation_degrees":9.878048780487806,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[466,381,136],"beta":{"interval_sums":[325201,330858,309247],"interval_residues":[811,570,585],"display_cycle":[811,570,585],"intervals":[{"from_index":54,"to_index":710,"sum":325201,"residue":811},{"from_index":710,"to_index":1366,"sum":330858,"residue":570},{"from_index":1366,"to_index":54,"sum":309247,"residue":585}],"minimal_cycle":[811,570,585],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":811,"start_interval_clock_positions":[54,710],"circle_positions":983,"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":[55,711,1367],"clock_positions":[55,711,1367],"native_values":[470,764,732],"rotation_degrees":10.060975609756097,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[470,764,732],"beta":{"interval_sums":[325112,330230,308981],"interval_residues":[722,925,319],"display_cycle":[722,925,319],"intervals":[{"from_index":55,"to_index":711,"sum":325112,"residue":722},{"from_index":711,"to_index":1367,"sum":330230,"residue":925},{"from_index":1367,"to_index":55,"sum":308981,"residue":319}],"minimal_cycle":[722,925,319],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":722,"start_interval_clock_positions":[55,711],"circle_positions":983,"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":[56,712,1368],"clock_positions":[56,712,1368],"native_values":[936,162,868],"rotation_degrees":10.24390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[936,162,868],"beta":{"interval_sums":[324940,330800,308583],"interval_residues":[550,512,904],"display_cycle":[550,512,904],"intervals":[{"from_index":56,"to_index":712,"sum":324940,"residue":550},{"from_index":712,"to_index":1368,"sum":330800,"residue":512},{"from_index":1368,"to_index":56,"sum":308583,"residue":904}],"minimal_cycle":[550,512,904],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":550,"start_interval_clock_positions":[56,712],"circle_positions":983,"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":[57,713,1369],"clock_positions":[57,713,1369],"native_values":[423,926,617],"rotation_degrees":10.426829268292684,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[423,926,617],"beta":{"interval_sums":[324679,330742,308902],"interval_residues":[289,454,240],"display_cycle":[289,454,240],"intervals":[{"from_index":57,"to_index":713,"sum":324679,"residue":289},{"from_index":713,"to_index":1369,"sum":330742,"residue":454},{"from_index":1369,"to_index":57,"sum":308902,"residue":240}],"minimal_cycle":[289,454,240],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":289,"start_interval_clock_positions":[57,713],"circle_positions":983,"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":[58,714,1370],"clock_positions":[58,714,1370],"native_values":[376,105,502],"rotation_degrees":10.609756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[376,105,502],"beta":{"interval_sums":[325229,331254,308823],"interval_residues":[839,966,161],"display_cycle":[839,966,161],"intervals":[{"from_index":58,"to_index":714,"sum":325229,"residue":839},{"from_index":714,"to_index":1370,"sum":331254,"residue":966},{"from_index":1370,"to_index":58,"sum":308823,"residue":161}],"minimal_cycle":[839,966,161],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":839,"start_interval_clock_positions":[58,714],"circle_positions":983,"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":[59,715,1371],"clock_positions":[59,715,1371],"native_values":[799,48,136],"rotation_degrees":10.792682926829269,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[799,48,136],"beta":{"interval_sums":[324535,331708,309063],"interval_residues":[145,437,401],"display_cycle":[145,437,401],"intervals":[{"from_index":59,"to_index":715,"sum":324535,"residue":145},{"from_index":715,"to_index":1371,"sum":331708,"residue":437},{"from_index":1371,"to_index":59,"sum":309063,"residue":401}],"minimal_cycle":[145,437,401],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":145,"start_interval_clock_positions":[59,715],"circle_positions":983,"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":[60,716,1372],"clock_positions":[60,716,1372],"native_values":[192,153,638],"rotation_degrees":10.975609756097562,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[192,153,638],"beta":{"interval_sums":[324391,331691,309224],"interval_residues":[1,420,562],"display_cycle":[1,420,562],"intervals":[{"from_index":60,"to_index":716,"sum":324391,"residue":1},{"from_index":716,"to_index":1372,"sum":331691,"residue":420},{"from_index":1372,"to_index":60,"sum":309224,"residue":562}],"minimal_cycle":[1,420,562],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[60,716],"circle_positions":983,"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":[61,717,1373],"clock_positions":[61,717,1373],"native_values":[8,201,774],"rotation_degrees":11.158536585365853,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,201,774],"beta":{"interval_sums":[324536,332128,308642],"interval_residues":[146,857,963],"display_cycle":[146,857,963],"intervals":[{"from_index":61,"to_index":717,"sum":324536,"residue":146},{"from_index":717,"to_index":1373,"sum":332128,"residue":857},{"from_index":1373,"to_index":61,"sum":308642,"residue":963}],"minimal_cycle":[146,857,963],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[61,717],"circle_positions":983,"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":[62,718,1374],"clock_positions":[62,718,1374],"native_values":[200,354,429],"rotation_degrees":11.341463414634147,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,354,429],"beta":{"interval_sums":[324537,332548,308221],"interval_residues":[147,294,542],"display_cycle":[147,294,542],"intervals":[{"from_index":62,"to_index":718,"sum":324537,"residue":147},{"from_index":718,"to_index":1374,"sum":332548,"residue":294},{"from_index":1374,"to_index":62,"sum":308221,"residue":542}],"minimal_cycle":[147,294,542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":147,"start_interval_clock_positions":[62,718],"circle_positions":983,"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":[63,719,1375],"clock_positions":[63,719,1375],"native_values":[208,555,220],"rotation_degrees":11.524390243902438,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[208,555,220],"beta":{"interval_sums":[324683,332422,308201],"interval_residues":[293,168,522],"display_cycle":[293,168,522],"intervals":[{"from_index":63,"to_index":719,"sum":324683,"residue":293},{"from_index":719,"to_index":1375,"sum":332422,"residue":168},{"from_index":1375,"to_index":63,"sum":308201,"residue":522}],"minimal_cycle":[293,168,522],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":293,"start_interval_clock_positions":[63,719],"circle_positions":983,"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":[64,720,1376],"clock_positions":[64,720,1376],"native_values":[408,909,649],"rotation_degrees":11.707317073170731,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[408,909,649],"beta":{"interval_sums":[324830,331733,307760],"interval_residues":[440,462,81],"display_cycle":[440,462,81],"intervals":[{"from_index":64,"to_index":720,"sum":324830,"residue":440},{"from_index":720,"to_index":1376,"sum":331733,"residue":462},{"from_index":1376,"to_index":64,"sum":307760,"residue":81}],"minimal_cycle":[440,462,81],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[64,720],"circle_positions":983,"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":[65,721,1377],"clock_positions":[65,721,1377],"native_values":[616,481,869],"rotation_degrees":11.890243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[616,481,869],"beta":{"interval_sums":[325123,331901,307299],"interval_residues":[733,630,603],"display_cycle":[733,630,603],"intervals":[{"from_index":65,"to_index":721,"sum":325123,"residue":733},{"from_index":721,"to_index":1377,"sum":331901,"residue":630},{"from_index":1377,"to_index":65,"sum":307299,"residue":603}],"minimal_cycle":[733,630,603],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":733,"start_interval_clock_positions":[65,721],"circle_positions":983,"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":[66,722,1378],"clock_positions":[66,722,1378],"native_values":[41,407,535],"rotation_degrees":12.073170731707316,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,407,535],"beta":{"interval_sums":[325563,332363,307380],"interval_residues":[190,109,684],"display_cycle":[190,109,684],"intervals":[{"from_index":66,"to_index":722,"sum":325563,"residue":190},{"from_index":722,"to_index":1378,"sum":332363,"residue":109},{"from_index":1378,"to_index":66,"sum":307380,"residue":684}],"minimal_cycle":[190,109,684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":190,"start_interval_clock_positions":[66,722],"circle_positions":983,"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":[67,723,1379],"clock_positions":[67,723,1379],"native_values":[657,888,421],"rotation_degrees":12.25609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,888,421],"beta":{"interval_sums":[325313,332010,307000],"interval_residues":[923,739,304],"display_cycle":[923,739,304],"intervals":[{"from_index":67,"to_index":723,"sum":325313,"residue":923},{"from_index":723,"to_index":1379,"sum":332010,"residue":739},{"from_index":1379,"to_index":67,"sum":307000,"residue":304}],"minimal_cycle":[923,739,304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":923,"start_interval_clock_positions":[67,723],"circle_positions":983,"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":[68,724,1380],"clock_positions":[68,724,1380],"native_values":[698,312,956],"rotation_degrees":12.439024390243903,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[698,312,956],"beta":{"interval_sums":[325503,332119,306701],"interval_residues":[130,848,5],"display_cycle":[130,848,5],"intervals":[{"from_index":68,"to_index":724,"sum":325503,"residue":130},{"from_index":724,"to_index":1380,"sum":332119,"residue":848},{"from_index":1380,"to_index":68,"sum":306701,"residue":5}],"minimal_cycle":[130,848,5],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[68,724],"circle_positions":983,"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":[69,725,1381],"clock_positions":[69,725,1381],"native_values":[372,217,394],"rotation_degrees":12.621951219512194,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[372,217,394],"beta":{"interval_sums":[325443,332858,307005],"interval_residues":[70,604,309],"display_cycle":[70,604,309],"intervals":[{"from_index":69,"to_index":725,"sum":325443,"residue":70},{"from_index":725,"to_index":1381,"sum":332858,"residue":604},{"from_index":1381,"to_index":69,"sum":307005,"residue":309}],"minimal_cycle":[70,604,309],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[69,725],"circle_positions":983,"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":[70,726,1382],"clock_positions":[70,726,1382],"native_values":[87,529,367],"rotation_degrees":12.804878048780488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[87,529,367],"beta":{"interval_sums":[325573,332723,307010],"interval_residues":[200,469,314],"display_cycle":[200,469,314],"intervals":[{"from_index":70,"to_index":726,"sum":325573,"residue":200},{"from_index":726,"to_index":1382,"sum":332723,"residue":469},{"from_index":1382,"to_index":70,"sum":307010,"residue":314}],"minimal_cycle":[200,469,314],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[70,726],"circle_positions":983,"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":[71,727,1383],"clock_positions":[71,727,1383],"native_values":[459,746,761],"rotation_degrees":12.987804878048781,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[459,746,761],"beta":{"interval_sums":[325643,332344,306336],"interval_residues":[270,90,623],"display_cycle":[270,90,623],"intervals":[{"from_index":71,"to_index":727,"sum":325643,"residue":270},{"from_index":727,"to_index":1383,"sum":332344,"residue":90},{"from_index":1383,"to_index":71,"sum":306336,"residue":623}],"minimal_cycle":[270,90,623],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":270,"start_interval_clock_positions":[71,727],"circle_positions":983,"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":[72,728,1384],"clock_positions":[72,728,1384],"native_values":[546,292,145],"rotation_degrees":13.170731707317072,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[546,292,145],"beta":{"interval_sums":[325843,332813,306650],"interval_residues":[470,559,937],"display_cycle":[470,559,937],"intervals":[{"from_index":72,"to_index":728,"sum":325843,"residue":470},{"from_index":728,"to_index":1384,"sum":332813,"residue":559},{"from_index":1384,"to_index":72,"sum":306650,"residue":937}],"minimal_cycle":[470,559,937],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[72,728],"circle_positions":983,"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":[73,729,1385],"clock_positions":[73,729,1385],"native_values":[22,55,906],"rotation_degrees":13.353658536585366,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[22,55,906],"beta":{"interval_sums":[326113,332903,306290],"interval_residues":[740,649,577],"display_cycle":[740,649,577],"intervals":[{"from_index":73,"to_index":729,"sum":326113,"residue":740},{"from_index":729,"to_index":1385,"sum":332903,"residue":649},{"from_index":1385,"to_index":73,"sum":306290,"residue":577}],"minimal_cycle":[740,649,577],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":740,"start_interval_clock_positions":[73,729],"circle_positions":983,"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":[74,730,1386],"clock_positions":[74,730,1386],"native_values":[568,347,68],"rotation_degrees":13.536585365853659,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[568,347,68],"beta":{"interval_sums":[325600,333462,306244],"interval_residues":[227,225,531],"display_cycle":[227,225,531],"intervals":[{"from_index":74,"to_index":730,"sum":325600,"residue":227},{"from_index":730,"to_index":1386,"sum":333462,"residue":225},{"from_index":1386,"to_index":74,"sum":306244,"residue":531}],"minimal_cycle":[227,225,531],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":227,"start_interval_clock_positions":[74,730],"circle_positions":983,"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":[75,731,1387],"clock_positions":[75,731,1387],"native_values":[590,402,974],"rotation_degrees":13.71951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[590,402,974],"beta":{"interval_sums":[325357,333128,305838],"interval_residues":[967,874,125],"display_cycle":[967,874,125],"intervals":[{"from_index":75,"to_index":731,"sum":325357,"residue":967},{"from_index":731,"to_index":1387,"sum":333128,"residue":874},{"from_index":1387,"to_index":75,"sum":305838,"residue":125}],"minimal_cycle":[967,874,125],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":967,"start_interval_clock_positions":[75,731],"circle_positions":983,"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":[76,732,1388],"clock_positions":[76,732,1388],"native_values":[175,749,59],"rotation_degrees":13.902439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[175,749,59],"beta":{"interval_sums":[325584,333353,306369],"interval_residues":[211,116,656],"display_cycle":[211,116,656],"intervals":[{"from_index":76,"to_index":732,"sum":325584,"residue":211},{"from_index":732,"to_index":1388,"sum":333353,"residue":116},{"from_index":1388,"to_index":76,"sum":306369,"residue":656}],"minimal_cycle":[211,116,656],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":211,"start_interval_clock_positions":[76,732],"circle_positions":983,"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":[77,733,1389],"clock_positions":[77,733,1389],"native_values":[765,168,50],"rotation_degrees":14.085365853658537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[765,168,50],"beta":{"interval_sums":[325568,333244,306494],"interval_residues":[195,7,781],"display_cycle":[195,7,781],"intervals":[{"from_index":77,"to_index":733,"sum":325568,"residue":195},{"from_index":733,"to_index":1389,"sum":333244,"residue":7},{"from_index":1389,"to_index":77,"sum":306494,"residue":781}],"minimal_cycle":[195,7,781],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":195,"start_interval_clock_positions":[77,733],"circle_positions":983,"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":[78,734,1390],"clock_positions":[78,734,1390],"native_values":[940,917,109],"rotation_degrees":14.268292682926829,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[940,917,109],"beta":{"interval_sums":[324796,332377,307150],"interval_residues":[406,123,454],"display_cycle":[406,123,454],"intervals":[{"from_index":78,"to_index":734,"sum":324796,"residue":406},{"from_index":734,"to_index":1390,"sum":332377,"residue":123},{"from_index":1390,"to_index":78,"sum":307150,"residue":454}],"minimal_cycle":[406,123,454],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[78,734],"circle_positions":983,"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":[79,735,1391],"clock_positions":[79,735,1391],"native_values":[722,102,159],"rotation_degrees":14.451219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[722,102,159],"beta":{"interval_sums":[324991,332384,307931],"interval_residues":[601,130,252],"display_cycle":[601,130,252],"intervals":[{"from_index":79,"to_index":735,"sum":324991,"residue":601},{"from_index":735,"to_index":1391,"sum":332384,"residue":130},{"from_index":1391,"to_index":79,"sum":307931,"residue":252}],"minimal_cycle":[601,130,252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":601,"start_interval_clock_positions":[79,735],"circle_positions":983,"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":[80,736,1392],"clock_positions":[80,736,1392],"native_values":[679,36,268],"rotation_degrees":14.634146341463415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[679,36,268],"beta":{"interval_sums":[324414,332507,308385],"interval_residues":[24,253,706],"display_cycle":[24,253,706],"intervals":[{"from_index":80,"to_index":736,"sum":324414,"residue":24},{"from_index":736,"to_index":1392,"sum":332507,"residue":253},{"from_index":1392,"to_index":80,"sum":308385,"residue":706}],"minimal_cycle":[24,253,706],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":24,"start_interval_clock_positions":[80,736],"circle_positions":983,"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":[81,737,1393],"clock_positions":[81,737,1393],"native_values":[418,138,427],"rotation_degrees":14.817073170731707,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[418,138,427],"beta":{"interval_sums":[324032,332637,308637],"interval_residues":[625,383,958],"display_cycle":[625,383,958],"intervals":[{"from_index":81,"to_index":737,"sum":324032,"residue":625},{"from_index":737,"to_index":1393,"sum":332637,"residue":383},{"from_index":1393,"to_index":81,"sum":308637,"residue":958}],"minimal_cycle":[625,383,958],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":625,"start_interval_clock_positions":[81,737],"circle_positions":983,"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":[82,738,1394],"clock_positions":[82,738,1394],"native_values":[114,174,695],"rotation_degrees":15.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[114,174,695],"beta":{"interval_sums":[324056,332890,308360],"interval_residues":[649,636,681],"display_cycle":[649,636,681],"intervals":[{"from_index":82,"to_index":738,"sum":324056,"residue":649},{"from_index":738,"to_index":1394,"sum":332890,"residue":636},{"from_index":1394,"to_index":82,"sum":308360,"residue":681}],"minimal_cycle":[649,636,681],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":649,"start_interval_clock_positions":[82,738],"circle_positions":983,"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":[83,739,1395],"clock_positions":[83,739,1395],"native_values":[532,312,139],"rotation_degrees":15.182926829268293,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[532,312,139],"beta":{"interval_sums":[323698,333273,308335],"interval_residues":[291,36,656],"display_cycle":[291,36,656],"intervals":[{"from_index":83,"to_index":739,"sum":323698,"residue":291},{"from_index":739,"to_index":1395,"sum":333273,"residue":36},{"from_index":1395,"to_index":83,"sum":308335,"residue":656}],"minimal_cycle":[291,36,656],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":291,"start_interval_clock_positions":[83,739],"circle_positions":983,"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":[84,740,1396],"clock_positions":[84,740,1396],"native_values":[646,486,834],"rotation_degrees":15.365853658536585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[646,486,834],"beta":{"interval_sums":[323364,332926,308033],"interval_residues":[940,672,354],"display_cycle":[940,672,354],"intervals":[{"from_index":84,"to_index":740,"sum":323364,"residue":940},{"from_index":740,"to_index":1396,"sum":332926,"residue":672},{"from_index":1396,"to_index":84,"sum":308033,"residue":354}],"minimal_cycle":[940,672,354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":940,"start_interval_clock_positions":[84,740],"circle_positions":983,"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":[85,741,1397],"clock_positions":[85,741,1397],"native_values":[195,798,973],"rotation_degrees":15.548780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,798,973],"beta":{"interval_sums":[323655,332962,307706],"interval_residues":[248,708,27],"display_cycle":[248,708,27],"intervals":[{"from_index":85,"to_index":741,"sum":323655,"residue":248},{"from_index":741,"to_index":1397,"sum":332962,"residue":708},{"from_index":1397,"to_index":85,"sum":307706,"residue":27}],"minimal_cycle":[248,708,27],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[85,741],"circle_positions":983,"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":[86,742,1398],"clock_positions":[86,742,1398],"native_values":[841,301,824],"rotation_degrees":15.731707317073171,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[841,301,824],"beta":{"interval_sums":[323612,333634,307077],"interval_residues":[205,397,381],"display_cycle":[205,397,381],"intervals":[{"from_index":86,"to_index":742,"sum":323612,"residue":205},{"from_index":742,"to_index":1398,"sum":333634,"residue":397},{"from_index":1398,"to_index":86,"sum":307077,"residue":381}],"minimal_cycle":[205,397,381],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":205,"start_interval_clock_positions":[86,742],"circle_positions":983,"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":[87,743,1399],"clock_positions":[87,743,1399],"native_values":[53,116,814],"rotation_degrees":15.914634146341463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,116,814],"beta":{"interval_sums":[323860,334342,307104],"interval_residues":[453,122,408],"display_cycle":[453,122,408],"intervals":[{"from_index":87,"to_index":743,"sum":323860,"residue":453},{"from_index":743,"to_index":1399,"sum":334342,"residue":122},{"from_index":1399,"to_index":87,"sum":307104,"residue":408}],"minimal_cycle":[453,122,408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":453,"start_interval_clock_positions":[87,743],"circle_positions":983,"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":[88,744,1400],"clock_positions":[88,744,1400],"native_values":[894,417,655],"rotation_degrees":16.097560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[894,417,655],"beta":{"interval_sums":[323082,334739,306502],"interval_residues":[658,519,789],"display_cycle":[658,519,789],"intervals":[{"from_index":88,"to_index":744,"sum":323082,"residue":658},{"from_index":744,"to_index":1400,"sum":334739,"residue":519},{"from_index":1400,"to_index":88,"sum":306502,"residue":789}],"minimal_cycle":[658,519,789],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":658,"start_interval_clock_positions":[88,744],"circle_positions":983,"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":[89,745,1401],"clock_positions":[89,745,1401],"native_values":[947,533,486],"rotation_degrees":16.28048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[947,533,486],"beta":{"interval_sums":[322552,334861,306910],"interval_residues":[128,641,214],"display_cycle":[128,641,214],"intervals":[{"from_index":89,"to_index":745,"sum":322552,"residue":128},{"from_index":745,"to_index":1401,"sum":334861,"residue":641},{"from_index":1401,"to_index":89,"sum":306910,"residue":214}],"minimal_cycle":[128,641,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":128,"start_interval_clock_positions":[89,745],"circle_positions":983,"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":[90,746,1402],"clock_positions":[90,746,1402],"native_values":[858,950,158],"rotation_degrees":16.463414634146343,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[858,950,158],"beta":{"interval_sums":[322227,334397,307699],"interval_residues":[786,177,20],"display_cycle":[786,177,20],"intervals":[{"from_index":90,"to_index":746,"sum":322227,"residue":786},{"from_index":746,"to_index":1402,"sum":334397,"residue":177},{"from_index":1402,"to_index":90,"sum":307699,"residue":20}],"minimal_cycle":[786,177,20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":786,"start_interval_clock_positions":[90,746],"circle_positions":983,"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":[91,747,1403],"clock_positions":[91,747,1403],"native_values":[822,500,644],"rotation_degrees":16.646341463414632,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[822,500,644],"beta":{"interval_sums":[322355,334055,307913],"interval_residues":[914,818,234],"display_cycle":[914,818,234],"intervals":[{"from_index":91,"to_index":747,"sum":322355,"residue":914},{"from_index":747,"to_index":1403,"sum":334055,"residue":818},{"from_index":1403,"to_index":91,"sum":307913,"residue":234}],"minimal_cycle":[914,818,234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":914,"start_interval_clock_positions":[91,747],"circle_positions":983,"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":[92,748,1404],"clock_positions":[92,748,1404],"native_values":[697,467,802],"rotation_degrees":16.829268292682926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[697,467,802],"beta":{"interval_sums":[322158,334232,307933],"interval_residues":[717,12,254],"display_cycle":[717,12,254],"intervals":[{"from_index":92,"to_index":748,"sum":322158,"residue":717},{"from_index":748,"to_index":1404,"sum":334232,"residue":12},{"from_index":1404,"to_index":92,"sum":307933,"residue":254}],"minimal_cycle":[717,12,254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":717,"start_interval_clock_positions":[92,748],"circle_positions":983,"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":[93,749,1405],"clock_positions":[93,749,1405],"native_values":[536,967,463],"rotation_degrees":17.01219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[536,967,463],"beta":{"interval_sums":[322089,334067,308167],"interval_residues":[648,830,488],"display_cycle":[648,830,488],"intervals":[{"from_index":93,"to_index":749,"sum":322089,"residue":648},{"from_index":749,"to_index":1405,"sum":334067,"residue":830},{"from_index":1405,"to_index":93,"sum":308167,"residue":488}],"minimal_cycle":[648,830,488],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":648,"start_interval_clock_positions":[93,749],"circle_positions":983,"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":[94,750,1406],"clock_positions":[94,750,1406],"native_values":[250,451,282],"rotation_degrees":17.195121951219512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[250,451,282],"beta":{"interval_sums":[322806,334079,308421],"interval_residues":[382,842,742],"display_cycle":[382,842,742],"intervals":[{"from_index":94,"to_index":750,"sum":322806,"residue":382},{"from_index":750,"to_index":1406,"sum":334079,"residue":842},{"from_index":1406,"to_index":94,"sum":308421,"residue":742}],"minimal_cycle":[382,842,742],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[94,750],"circle_positions":983,"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":[95,751,1407],"clock_positions":[95,751,1407],"native_values":[786,435,745],"rotation_degrees":17.378048780487806,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[786,435,745],"beta":{"interval_sums":[322471,333926,307926],"interval_residues":[47,689,247],"display_cycle":[47,689,247],"intervals":[{"from_index":95,"to_index":751,"sum":322471,"residue":47},{"from_index":751,"to_index":1407,"sum":333926,"residue":689},{"from_index":1407,"to_index":95,"sum":307926,"residue":247}],"minimal_cycle":[47,689,247],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":47,"start_interval_clock_positions":[95,751],"circle_positions":983,"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":[96,752,1408],"clock_positions":[96,752,1408],"native_values":[53,886,44],"rotation_degrees":17.5609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,886,44],"beta":{"interval_sums":[322853,333785,308668],"interval_residues":[429,548,6],"display_cycle":[429,548,6],"intervals":[{"from_index":96,"to_index":752,"sum":322853,"residue":429},{"from_index":752,"to_index":1408,"sum":333785,"residue":548},{"from_index":1408,"to_index":96,"sum":308668,"residue":6}],"minimal_cycle":[429,548,6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":429,"start_interval_clock_positions":[96,752],"circle_positions":983,"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":[97,753,1409],"clock_positions":[97,753,1409],"native_values":[839,338,789],"rotation_degrees":17.74390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[839,338,789],"beta":{"interval_sums":[322900,333491,307932],"interval_residues":[476,254,253],"display_cycle":[476,254,253],"intervals":[{"from_index":97,"to_index":753,"sum":322900,"residue":476},{"from_index":753,"to_index":1409,"sum":333491,"residue":254},{"from_index":1409,"to_index":97,"sum":307932,"residue":253}],"minimal_cycle":[476,254,253],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":476,"start_interval_clock_positions":[97,753],"circle_positions":983,"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":[98,754,1410],"clock_positions":[98,754,1410],"native_values":[892,241,833],"rotation_degrees":17.926829268292682,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[892,241,833],"beta":{"interval_sums":[322346,334039,307938],"interval_residues":[905,802,259],"display_cycle":[905,802,259],"intervals":[{"from_index":98,"to_index":754,"sum":322346,"residue":905},{"from_index":754,"to_index":1410,"sum":334039,"residue":802},{"from_index":1410,"to_index":98,"sum":307938,"residue":259}],"minimal_cycle":[905,802,259],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":905,"start_interval_clock_positions":[98,754],"circle_positions":983,"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":[99,755,1411],"clock_positions":[99,755,1411],"native_values":[748,579,639],"rotation_degrees":18.109756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[748,579,639],"beta":{"interval_sums":[321839,334293,308191],"interval_residues":[398,73,512],"display_cycle":[398,73,512],"intervals":[{"from_index":99,"to_index":755,"sum":321839,"residue":398},{"from_index":755,"to_index":1411,"sum":334293,"residue":73},{"from_index":1411,"to_index":99,"sum":308191,"residue":512}],"minimal_cycle":[398,73,512],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":398,"start_interval_clock_positions":[99,755],"circle_positions":983,"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":[100,756,1412],"clock_positions":[100,756,1412],"native_values":[657,820,489],"rotation_degrees":18.29268292682927,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,820,489],"beta":{"interval_sums":[321761,334112,308450],"interval_residues":[320,875,771],"display_cycle":[320,875,771],"intervals":[{"from_index":100,"to_index":756,"sum":321761,"residue":320},{"from_index":756,"to_index":1412,"sum":334112,"residue":875},{"from_index":1412,"to_index":100,"sum":308450,"residue":771}],"minimal_cycle":[320,875,771],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[100,756],"circle_positions":983,"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":[101,757,1413],"clock_positions":[101,757,1413],"native_values":[422,416,145],"rotation_degrees":18.475609756097562,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[422,416,145],"beta":{"interval_sums":[322159,334185,308962],"interval_residues":[718,948,300],"display_cycle":[718,948,300],"intervals":[{"from_index":101,"to_index":757,"sum":322159,"residue":718},{"from_index":757,"to_index":1413,"sum":334185,"residue":948},{"from_index":1413,"to_index":101,"sum":308962,"residue":300}],"minimal_cycle":[718,948,300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":718,"start_interval_clock_positions":[101,757],"circle_positions":983,"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":[102,758,1414],"clock_positions":[102,758,1414],"native_values":[96,253,634],"rotation_degrees":18.658536585365855,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[96,253,634],"beta":{"interval_sums":[322479,334077,308750],"interval_residues":[55,840,88],"display_cycle":[55,840,88],"intervals":[{"from_index":102,"to_index":758,"sum":322479,"residue":55},{"from_index":758,"to_index":1414,"sum":334077,"residue":840},{"from_index":1414,"to_index":102,"sum":308750,"residue":88}],"minimal_cycle":[55,840,88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":55,"start_interval_clock_positions":[102,758],"circle_positions":983,"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":[103,759,1415],"clock_positions":[103,759,1415],"native_values":[518,669,779],"rotation_degrees":18.841463414634145,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[518,669,779],"beta":{"interval_sums":[322214,334042,308067],"interval_residues":[773,805,388],"display_cycle":[773,805,388],"intervals":[{"from_index":103,"to_index":759,"sum":322214,"residue":773},{"from_index":759,"to_index":1415,"sum":334042,"residue":805},{"from_index":1415,"to_index":103,"sum":308067,"residue":388}],"minimal_cycle":[773,805,388],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":773,"start_interval_clock_positions":[103,759],"circle_positions":983,"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":[104,760,1416],"clock_positions":[104,760,1416],"native_values":[614,922,430],"rotation_degrees":19.024390243902438,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[614,922,430],"beta":{"interval_sums":[322269,333899,308155],"interval_residues":[828,662,476],"display_cycle":[828,662,476],"intervals":[{"from_index":104,"to_index":760,"sum":322269,"residue":828},{"from_index":760,"to_index":1416,"sum":333899,"residue":662},{"from_index":1416,"to_index":104,"sum":308155,"residue":476}],"minimal_cycle":[828,662,476],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":828,"start_interval_clock_positions":[104,760],"circle_positions":983,"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":[105,761,1417],"clock_positions":[105,761,1417],"native_values":[149,608,226],"rotation_degrees":19.20731707317073,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,608,226],"beta":{"interval_sums":[323042,333721,308543],"interval_residues":[618,484,864],"display_cycle":[618,484,864],"intervals":[{"from_index":105,"to_index":761,"sum":323042,"residue":618},{"from_index":761,"to_index":1417,"sum":333721,"residue":484},{"from_index":1417,"to_index":105,"sum":308543,"residue":864}],"minimal_cycle":[618,484,864],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":618,"start_interval_clock_positions":[105,761],"circle_positions":983,"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":[106,762,1418],"clock_positions":[106,762,1418],"native_values":[763,547,656],"rotation_degrees":19.390243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[763,547,656],"beta":{"interval_sums":[322887,333400,308036],"interval_residues":[463,163,357],"display_cycle":[463,163,357],"intervals":[{"from_index":106,"to_index":762,"sum":322887,"residue":463},{"from_index":762,"to_index":1418,"sum":333400,"residue":163},{"from_index":1418,"to_index":106,"sum":308036,"residue":357}],"minimal_cycle":[463,163,357],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":463,"start_interval_clock_positions":[106,762],"circle_positions":983,"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":[107,763,1419],"clock_positions":[107,763,1419],"native_values":[912,172,882],"rotation_degrees":19.573170731707318,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[912,172,882],"beta":{"interval_sums":[322522,333884,307917],"interval_residues":[98,647,238],"display_cycle":[98,647,238],"intervals":[{"from_index":107,"to_index":763,"sum":322522,"residue":98},{"from_index":763,"to_index":1419,"sum":333884,"residue":647},{"from_index":1419,"to_index":107,"sum":307917,"residue":238}],"minimal_cycle":[98,647,238],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":98,"start_interval_clock_positions":[107,763],"circle_positions":983,"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":[108,764,1420],"clock_positions":[108,764,1420],"native_values":[692,719,555],"rotation_degrees":19.75609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[692,719,555],"beta":{"interval_sums":[322002,334047,308274],"interval_residues":[561,810,595],"display_cycle":[561,810,595],"intervals":[{"from_index":108,"to_index":764,"sum":322002,"residue":561},{"from_index":764,"to_index":1420,"sum":334047,"residue":810},{"from_index":1420,"to_index":108,"sum":308274,"residue":595}],"minimal_cycle":[561,810,595],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":561,"start_interval_clock_positions":[108,764],"circle_positions":983,"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":[109,765,1421],"clock_positions":[109,765,1421],"native_values":[621,891,454],"rotation_degrees":19.9390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[621,891,454],"beta":{"interval_sums":[322100,333711,308512],"interval_residues":[659,474,833],"display_cycle":[659,474,833],"intervals":[{"from_index":109,"to_index":765,"sum":322100,"residue":659},{"from_index":765,"to_index":1421,"sum":333711,"residue":474},{"from_index":1421,"to_index":109,"sum":308512,"residue":833}],"minimal_cycle":[659,474,833],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":659,"start_interval_clock_positions":[109,765],"circle_positions":983,"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":[110,766,1422],"clock_positions":[110,766,1422],"native_values":[330,627,26],"rotation_degrees":20.121951219512194,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[330,627,26],"beta":{"interval_sums":[322661,333538,309107],"interval_residues":[237,301,445],"display_cycle":[237,301,445],"intervals":[{"from_index":110,"to_index":766,"sum":322661,"residue":237},{"from_index":766,"to_index":1422,"sum":333538,"residue":301},{"from_index":1422,"to_index":110,"sum":309107,"residue":445}],"minimal_cycle":[237,301,445],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":237,"start_interval_clock_positions":[110,766],"circle_positions":983,"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":[111,767,1423],"clock_positions":[111,767,1423],"native_values":[951,535,480],"rotation_degrees":20.304878048780488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[951,535,480],"beta":{"interval_sums":[322337,333029,308957],"interval_residues":[896,775,295],"display_cycle":[896,775,295],"intervals":[{"from_index":111,"to_index":767,"sum":322337,"residue":896},{"from_index":767,"to_index":1423,"sum":333029,"residue":775},{"from_index":1423,"to_index":111,"sum":308957,"residue":295}],"minimal_cycle":[896,775,295],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":896,"start_interval_clock_positions":[111,767],"circle_positions":983,"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":[112,768,1424],"clock_positions":[112,768,1424],"native_values":[298,179,506],"rotation_degrees":20.48780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[298,179,506],"beta":{"interval_sums":[322574,333330,309402],"interval_residues":[150,93,740],"display_cycle":[150,93,740],"intervals":[{"from_index":112,"to_index":768,"sum":322574,"residue":150},{"from_index":768,"to_index":1424,"sum":333330,"residue":93},{"from_index":1424,"to_index":112,"sum":309402,"residue":740}],"minimal_cycle":[150,93,740],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[112,768],"circle_positions":983,"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":[113,769,1425],"clock_positions":[113,769,1425],"native_values":[266,714,3],"rotation_degrees":20.670731707317074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[266,714,3],"beta":{"interval_sums":[322487,333122,309697],"interval_residues":[63,868,52],"display_cycle":[63,868,52],"intervals":[{"from_index":113,"to_index":769,"sum":322487,"residue":63},{"from_index":769,"to_index":1425,"sum":333122,"residue":868},{"from_index":1425,"to_index":113,"sum":309697,"residue":52}],"minimal_cycle":[63,868,52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":63,"start_interval_clock_positions":[113,769],"circle_positions":983,"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":[114,770,1426],"clock_positions":[114,770,1426],"native_values":[564,893,509],"rotation_degrees":20.853658536585368,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[564,893,509],"beta":{"interval_sums":[322637,332232,309454],"interval_residues":[213,961,792],"display_cycle":[213,961,792],"intervals":[{"from_index":114,"to_index":770,"sum":322637,"residue":213},{"from_index":770,"to_index":1426,"sum":332232,"residue":961},{"from_index":1426,"to_index":114,"sum":309454,"residue":792}],"minimal_cycle":[213,961,792],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":213,"start_interval_clock_positions":[114,770],"circle_positions":983,"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":[115,771,1427],"clock_positions":[115,771,1427],"native_values":[830,624,512],"rotation_degrees":21.036585365853657,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[830,624,512],"beta":{"interval_sums":[322700,332117,309506],"interval_residues":[276,846,844],"display_cycle":[276,846,844],"intervals":[{"from_index":115,"to_index":771,"sum":322700,"residue":276},{"from_index":771,"to_index":1427,"sum":332117,"residue":846},{"from_index":1427,"to_index":115,"sum":309506,"residue":844}],"minimal_cycle":[276,846,844],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":276,"start_interval_clock_positions":[115,771],"circle_positions":983,"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":[116,772,1428],"clock_positions":[116,772,1428],"native_values":[411,534,38],"rotation_degrees":21.21951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[411,534,38],"beta":{"interval_sums":[322913,332095,310298],"interval_residues":[489,824,653],"display_cycle":[489,824,653],"intervals":[{"from_index":116,"to_index":772,"sum":322913,"residue":489},{"from_index":772,"to_index":1428,"sum":332095,"residue":824},{"from_index":1428,"to_index":116,"sum":310298,"residue":653}],"minimal_cycle":[489,824,653],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":489,"start_interval_clock_positions":[116,772],"circle_positions":983,"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":[117,773,1429],"clock_positions":[117,773,1429],"native_values":[258,175,550],"rotation_degrees":21.402439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[258,175,550],"beta":{"interval_sums":[323189,331958,310159],"interval_residues":[765,687,514],"display_cycle":[765,687,514],"intervals":[{"from_index":117,"to_index":773,"sum":323189,"residue":765},{"from_index":773,"to_index":1429,"sum":331958,"residue":687},{"from_index":1429,"to_index":117,"sum":310159,"residue":514}],"minimal_cycle":[765,687,514],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":765,"start_interval_clock_positions":[117,773],"circle_positions":983,"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":[118,774,1430],"clock_positions":[118,774,1430],"native_values":[669,709,588],"rotation_degrees":21.585365853658537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,709,588],"beta":{"interval_sums":[322695,331799,309829],"interval_residues":[271,528,184],"display_cycle":[271,528,184],"intervals":[{"from_index":118,"to_index":774,"sum":322695,"residue":271},{"from_index":774,"to_index":1430,"sum":331799,"residue":528},{"from_index":1430,"to_index":118,"sum":309829,"residue":184}],"minimal_cycle":[271,528,184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":271,"start_interval_clock_positions":[118,774],"circle_positions":983,"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":[119,775,1431],"clock_positions":[119,775,1431],"native_values":[927,884,155],"rotation_degrees":21.76829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[927,884,155],"beta":{"interval_sums":[322477,331503,310343],"interval_residues":[53,232,698],"display_cycle":[53,232,698],"intervals":[{"from_index":119,"to_index":775,"sum":322477,"residue":53},{"from_index":775,"to_index":1431,"sum":331503,"residue":232},{"from_index":1431,"to_index":119,"sum":310343,"residue":698}],"minimal_cycle":[53,232,698],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":53,"start_interval_clock_positions":[119,775],"circle_positions":983,"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":[120,776,1432],"clock_positions":[120,776,1432],"native_values":[613,610,743],"rotation_degrees":21.951219512195124,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[613,610,743],"beta":{"interval_sums":[322748,331048,310527],"interval_residues":[324,760,882],"display_cycle":[324,760,882],"intervals":[{"from_index":120,"to_index":776,"sum":322748,"residue":324},{"from_index":776,"to_index":1432,"sum":331048,"residue":760},{"from_index":1432,"to_index":120,"sum":310527,"residue":882}],"minimal_cycle":[324,760,882],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[120,776],"circle_positions":983,"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":[121,777,1433],"clock_positions":[121,777,1433],"native_values":[557,511,898],"rotation_degrees":22.134146341463413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,511,898],"beta":{"interval_sums":[322801,331280,310242],"interval_residues":[377,9,597],"display_cycle":[377,9,597],"intervals":[{"from_index":121,"to_index":777,"sum":322801,"residue":377},{"from_index":777,"to_index":1433,"sum":331280,"residue":9},{"from_index":1433,"to_index":121,"sum":310242,"residue":597}],"minimal_cycle":[377,9,597],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[121,777],"circle_positions":983,"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":[122,778,1434],"clock_positions":[122,778,1434],"native_values":[187,138,658],"rotation_degrees":22.317073170731707,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[187,138,658],"beta":{"interval_sums":[323125,332040,310141],"interval_residues":[701,769,496],"display_cycle":[701,769,496],"intervals":[{"from_index":122,"to_index":778,"sum":323125,"residue":701},{"from_index":778,"to_index":1434,"sum":332040,"residue":769},{"from_index":1434,"to_index":122,"sum":310141,"residue":496}],"minimal_cycle":[701,769,496],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":701,"start_interval_clock_positions":[122,778],"circle_positions":983,"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":[123,779,1435],"clock_positions":[123,779,1435],"native_values":[744,649,573],"rotation_degrees":22.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[744,649,573],"beta":{"interval_sums":[322519,332049,309755],"interval_residues":[95,778,110],"display_cycle":[95,778,110],"intervals":[{"from_index":123,"to_index":779,"sum":322519,"residue":95},{"from_index":779,"to_index":1435,"sum":332049,"residue":778},{"from_index":1435,"to_index":123,"sum":309755,"residue":110}],"minimal_cycle":[95,778,110],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":95,"start_interval_clock_positions":[123,779],"circle_positions":983,"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":[124,780,1436],"clock_positions":[124,780,1436],"native_values":[931,787,248],"rotation_degrees":22.682926829268293,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[931,787,248],"beta":{"interval_sums":[322237,331835,310251],"interval_residues":[796,564,606],"display_cycle":[796,564,606],"intervals":[{"from_index":124,"to_index":780,"sum":322237,"residue":796},{"from_index":780,"to_index":1436,"sum":331835,"residue":564},{"from_index":1436,"to_index":124,"sum":310251,"residue":606}],"minimal_cycle":[796,564,606],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":796,"start_interval_clock_positions":[124,780],"circle_positions":983,"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":[125,781,1437],"clock_positions":[125,781,1437],"native_values":[692,453,821],"rotation_degrees":22.865853658536587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[692,453,821],"beta":{"interval_sums":[322332,331630,310361],"interval_residues":[891,359,716],"display_cycle":[891,359,716],"intervals":[{"from_index":125,"to_index":781,"sum":322332,"residue":891},{"from_index":781,"to_index":1437,"sum":331630,"residue":359},{"from_index":1437,"to_index":125,"sum":310361,"residue":716}],"minimal_cycle":[891,359,716],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":891,"start_interval_clock_positions":[125,781],"circle_positions":983,"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":[126,782,1438],"clock_positions":[126,782,1438],"native_values":[640,257,86],"rotation_degrees":23.048780487804876,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[640,257,86],"beta":{"interval_sums":[322145,332194,310967],"interval_residues":[704,923,339],"display_cycle":[704,923,339],"intervals":[{"from_index":126,"to_index":782,"sum":322145,"residue":704},{"from_index":782,"to_index":1438,"sum":332194,"residue":923},{"from_index":1438,"to_index":126,"sum":310967,"residue":339}],"minimal_cycle":[704,923,339],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":704,"start_interval_clock_positions":[126,782],"circle_positions":983,"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":[127,783,1439],"clock_positions":[127,783,1439],"native_values":[349,710,907],"rotation_degrees":23.23170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,710,907],"beta":{"interval_sums":[322053,331570,310700],"interval_residues":[612,299,72],"display_cycle":[612,299,72],"intervals":[{"from_index":127,"to_index":783,"sum":322053,"residue":612},{"from_index":783,"to_index":1439,"sum":331570,"residue":299},{"from_index":1439,"to_index":127,"sum":310700,"residue":72}],"minimal_cycle":[612,299,72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":612,"start_interval_clock_positions":[127,783],"circle_positions":983,"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":[128,784,1440],"clock_positions":[128,784,1440],"native_values":[6,967,10],"rotation_degrees":23.414634146341463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[6,967,10],"beta":{"interval_sums":[322757,331510,311039],"interval_residues":[333,239,411],"display_cycle":[333,239,411],"intervals":[{"from_index":128,"to_index":784,"sum":322757,"residue":333},{"from_index":784,"to_index":1440,"sum":331510,"residue":239},{"from_index":1440,"to_index":128,"sum":311039,"residue":411}],"minimal_cycle":[333,239,411],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":333,"start_interval_clock_positions":[128,784],"circle_positions":983,"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":[129,785,1441],"clock_positions":[129,785,1441],"native_values":[355,694,917],"rotation_degrees":23.597560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,694,917],"beta":{"interval_sums":[323369,330826,310128],"interval_residues":[945,538,483],"display_cycle":[945,538,483],"intervals":[{"from_index":129,"to_index":785,"sum":323369,"residue":945},{"from_index":785,"to_index":1441,"sum":330826,"residue":538},{"from_index":1441,"to_index":129,"sum":310128,"residue":483}],"minimal_cycle":[945,538,483],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":945,"start_interval_clock_positions":[129,785],"circle_positions":983,"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":[130,786,1442],"clock_positions":[130,786,1442],"native_values":[361,678,927],"rotation_degrees":23.78048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[361,678,927],"beta":{"interval_sums":[323702,331065,309556],"interval_residues":[295,777,894],"display_cycle":[295,777,894],"intervals":[{"from_index":130,"to_index":786,"sum":323702,"residue":295},{"from_index":786,"to_index":1442,"sum":331065,"residue":777},{"from_index":1442,"to_index":130,"sum":309556,"residue":894}],"minimal_cycle":[295,777,894],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":295,"start_interval_clock_positions":[130,786],"circle_positions":983,"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":[131,787,1443],"clock_positions":[131,787,1443],"native_values":[716,389,861],"rotation_degrees":23.963414634146343,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[716,389,861],"beta":{"interval_sums":[323664,331603,309056],"interval_residues":[257,332,394],"display_cycle":[257,332,394],"intervals":[{"from_index":131,"to_index":787,"sum":323664,"residue":257},{"from_index":787,"to_index":1443,"sum":331603,"residue":332},{"from_index":1443,"to_index":131,"sum":309056,"residue":394}],"minimal_cycle":[257,332,394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":257,"start_interval_clock_positions":[131,787],"circle_positions":983,"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":[132,788,1444],"clock_positions":[132,788,1444],"native_values":[94,84,805],"rotation_degrees":24.146341463414632,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[94,84,805],"beta":{"interval_sums":[323959,332380,308967],"interval_residues":[552,126,305],"display_cycle":[552,126,305],"intervals":[{"from_index":132,"to_index":788,"sum":323959,"residue":552},{"from_index":788,"to_index":1444,"sum":332380,"residue":126},{"from_index":1444,"to_index":132,"sum":308967,"residue":305}],"minimal_cycle":[552,126,305],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[132,788],"circle_positions":983,"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":[133,789,1445],"clock_positions":[133,789,1445],"native_values":[810,473,683],"rotation_degrees":24.329268292682926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[810,473,683],"beta":{"interval_sums":[323233,332712,308378],"interval_residues":[809,458,699],"display_cycle":[809,458,699],"intervals":[{"from_index":133,"to_index":789,"sum":323233,"residue":809},{"from_index":789,"to_index":1445,"sum":332712,"residue":458},{"from_index":1445,"to_index":133,"sum":308378,"residue":699}],"minimal_cycle":[809,458,699],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":809,"start_interval_clock_positions":[133,789],"circle_positions":983,"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":[134,790,1446],"clock_positions":[134,790,1446],"native_values":[904,557,505],"rotation_degrees":24.51219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[904,557,505],"beta":{"interval_sums":[322802,332838,308683],"interval_residues":[378,584,21],"display_cycle":[378,584,21],"intervals":[{"from_index":134,"to_index":790,"sum":322802,"residue":378},{"from_index":790,"to_index":1446,"sum":332838,"residue":584},{"from_index":1446,"to_index":134,"sum":308683,"residue":21}],"minimal_cycle":[378,584,21],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[134,790],"circle_positions":983,"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":[135,791,1447],"clock_positions":[135,791,1447],"native_values":[731,47,205],"rotation_degrees":24.695121951219512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[731,47,205],"beta":{"interval_sums":[322628,333296,309382],"interval_residues":[204,59,720],"display_cycle":[204,59,720],"intervals":[{"from_index":135,"to_index":791,"sum":322628,"residue":204},{"from_index":791,"to_index":1447,"sum":333296,"residue":59},{"from_index":1447,"to_index":135,"sum":309382,"residue":720}],"minimal_cycle":[204,59,720],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":204,"start_interval_clock_positions":[135,791],"circle_positions":983,"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":[136,792,1448],"clock_positions":[136,792,1448],"native_values":[652,604,710],"rotation_degrees":24.878048780487806,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[652,604,710],"beta":{"interval_sums":[322023,332897,309403],"interval_residues":[582,643,741],"display_cycle":[582,643,741],"intervals":[{"from_index":136,"to_index":792,"sum":322023,"residue":582},{"from_index":792,"to_index":1448,"sum":332897,"residue":643},{"from_index":1448,"to_index":136,"sum":309403,"residue":741}],"minimal_cycle":[582,643,741],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":582,"start_interval_clock_positions":[136,792],"circle_positions":983,"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":[137,793,1449],"clock_positions":[137,793,1449],"native_values":[400,651,915],"rotation_degrees":25.0609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[400,651,915],"beta":{"interval_sums":[322227,332956,309140],"interval_residues":[786,702,478],"display_cycle":[786,702,478],"intervals":[{"from_index":137,"to_index":793,"sum":322227,"residue":786},{"from_index":793,"to_index":1449,"sum":332956,"residue":702},{"from_index":1449,"to_index":137,"sum":309140,"residue":478}],"minimal_cycle":[786,702,478],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":786,"start_interval_clock_positions":[137,793],"circle_positions":983,"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":[138,794,1450],"clock_positions":[138,794,1450],"native_values":[69,272,642],"rotation_degrees":25.24390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[69,272,642],"beta":{"interval_sums":[322809,333599,308898],"interval_residues":[385,362,236],"display_cycle":[385,362,236],"intervals":[{"from_index":138,"to_index":794,"sum":322809,"residue":385},{"from_index":794,"to_index":1450,"sum":333599,"residue":362},{"from_index":1450,"to_index":138,"sum":308898,"residue":236}],"minimal_cycle":[385,362,236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":385,"start_interval_clock_positions":[138,794],"circle_positions":983,"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":[139,795,1451],"clock_positions":[139,795,1451],"native_values":[469,923,574],"rotation_degrees":25.426829268292682,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,923,574],"beta":{"interval_sums":[322612,333318,308393],"interval_residues":[188,81,714],"display_cycle":[188,81,714],"intervals":[{"from_index":139,"to_index":795,"sum":322612,"residue":188},{"from_index":795,"to_index":1451,"sum":333318,"residue":81},{"from_index":1451,"to_index":139,"sum":308393,"residue":714}],"minimal_cycle":[188,81,714],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[139,795],"circle_positions":983,"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":[140,796,1452],"clock_positions":[140,796,1452],"native_values":[538,212,233],"rotation_degrees":25.609756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[538,212,233],"beta":{"interval_sums":[322997,333680,308629],"interval_residues":[573,443,950],"display_cycle":[573,443,950],"intervals":[{"from_index":140,"to_index":796,"sum":322997,"residue":573},{"from_index":796,"to_index":1452,"sum":333680,"residue":443},{"from_index":1452,"to_index":140,"sum":308629,"residue":950}],"minimal_cycle":[573,443,950],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":573,"start_interval_clock_positions":[140,796],"circle_positions":983,"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":[141,797,1453],"clock_positions":[141,797,1453],"native_values":[24,152,807],"rotation_degrees":25.79268292682927,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[24,152,807],"beta":{"interval_sums":[323185,333761,308360],"interval_residues":[761,524,681],"display_cycle":[761,524,681],"intervals":[{"from_index":141,"to_index":797,"sum":323185,"residue":761},{"from_index":797,"to_index":1453,"sum":333761,"residue":524},{"from_index":1453,"to_index":141,"sum":308360,"residue":681}],"minimal_cycle":[761,524,681],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":761,"start_interval_clock_positions":[141,797],"circle_positions":983,"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":[142,798,1454],"clock_positions":[142,798,1454],"native_values":[562,364,57],"rotation_degrees":25.975609756097562,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[562,364,57],"beta":{"interval_sums":[322775,334204,308327],"interval_residues":[351,967,648],"display_cycle":[351,967,648],"intervals":[{"from_index":142,"to_index":798,"sum":322775,"residue":351},{"from_index":798,"to_index":1454,"sum":334204,"residue":967},{"from_index":1454,"to_index":142,"sum":308327,"residue":648}],"minimal_cycle":[351,967,648],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":351,"start_interval_clock_positions":[142,798],"circle_positions":983,"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":[143,799,1455],"clock_positions":[143,799,1455],"native_values":[586,516,864],"rotation_degrees":26.158536585365855,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[586,516,864],"beta":{"interval_sums":[322553,333745,308025],"interval_residues":[129,508,346],"display_cycle":[129,508,346],"intervals":[{"from_index":143,"to_index":799,"sum":322553,"residue":129},{"from_index":799,"to_index":1455,"sum":333745,"residue":508},{"from_index":1455,"to_index":143,"sum":308025,"residue":346}],"minimal_cycle":[129,508,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":129,"start_interval_clock_positions":[143,799],"circle_positions":983,"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":[144,800,1456],"clock_positions":[144,800,1456],"native_values":[165,880,921],"rotation_degrees":26.341463414634145,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,880,921],"beta":{"interval_sums":[322904,333729,307690],"interval_residues":[480,492,11],"display_cycle":[480,492,11],"intervals":[{"from_index":144,"to_index":800,"sum":322904,"residue":480},{"from_index":800,"to_index":1456,"sum":333729,"residue":492},{"from_index":1456,"to_index":144,"sum":307690,"residue":11}],"minimal_cycle":[480,492,11],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[144,800],"circle_positions":983,"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":[145,801,1457],"clock_positions":[145,801,1457],"native_values":[751,413,802],"rotation_degrees":26.524390243902438,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[751,413,802],"beta":{"interval_sums":[323033,334237,307053],"interval_residues":[609,17,357],"display_cycle":[609,17,357],"intervals":[{"from_index":145,"to_index":801,"sum":323033,"residue":609},{"from_index":801,"to_index":1457,"sum":334237,"residue":17},{"from_index":1457,"to_index":145,"sum":307053,"residue":357}],"minimal_cycle":[609,17,357],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":609,"start_interval_clock_positions":[145,801],"circle_positions":983,"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":[146,802,1458],"clock_positions":[146,802,1458],"native_values":[916,310,740],"rotation_degrees":26.70731707317073,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[916,310,740],"beta":{"interval_sums":[322530,334729,307064],"interval_residues":[106,509,368],"display_cycle":[106,509,368],"intervals":[{"from_index":146,"to_index":802,"sum":322530,"residue":106},{"from_index":802,"to_index":1458,"sum":334729,"residue":509},{"from_index":1458,"to_index":146,"sum":307064,"residue":368}],"minimal_cycle":[106,509,368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[146,802],"circle_positions":983,"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":[147,803,1459],"clock_positions":[147,803,1459],"native_values":[684,723,559],"rotation_degrees":26.890243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[684,723,559],"beta":{"interval_sums":[322156,334746,307421],"interval_residues":[715,526,725],"display_cycle":[715,526,725],"intervals":[{"from_index":147,"to_index":803,"sum":322156,"residue":715},{"from_index":803,"to_index":1459,"sum":334746,"residue":526},{"from_index":1459,"to_index":147,"sum":307421,"residue":725}],"minimal_cycle":[715,526,725],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":715,"start_interval_clock_positions":[147,803],"circle_positions":983,"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":[148,804,1460],"clock_positions":[148,804,1460],"native_values":[617,50,316],"rotation_degrees":27.073170731707318,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[617,50,316],"beta":{"interval_sums":[322262,335255,307789],"interval_residues":[821,52,110],"display_cycle":[821,52,110],"intervals":[{"from_index":148,"to_index":804,"sum":322262,"residue":821},{"from_index":804,"to_index":1460,"sum":335255,"residue":52},{"from_index":1460,"to_index":148,"sum":307789,"residue":110}],"minimal_cycle":[821,52,110],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":821,"start_interval_clock_positions":[148,804],"circle_positions":983,"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":[149,805,1461],"clock_positions":[149,805,1461],"native_values":[318,773,875],"rotation_degrees":27.25609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[318,773,875],"beta":{"interval_sums":[321994,334798,307531],"interval_residues":[553,578,835],"display_cycle":[553,578,835],"intervals":[{"from_index":149,"to_index":805,"sum":321994,"residue":553},{"from_index":805,"to_index":1461,"sum":334798,"residue":578},{"from_index":1461,"to_index":149,"sum":307531,"residue":835}],"minimal_cycle":[553,578,835],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":553,"start_interval_clock_positions":[149,805],"circle_positions":983,"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":[150,806,1462],"clock_positions":[150,806,1462],"native_values":[935,823,208],"rotation_degrees":27.4390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[935,823,208],"beta":{"interval_sums":[321832,334850,307641],"interval_residues":[391,630,945],"display_cycle":[391,630,945],"intervals":[{"from_index":150,"to_index":806,"sum":321832,"residue":391},{"from_index":806,"to_index":1462,"sum":334850,"residue":630},{"from_index":1462,"to_index":150,"sum":307641,"residue":945}],"minimal_cycle":[391,630,945],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":391,"start_interval_clock_positions":[150,806],"circle_positions":983,"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":[151,807,1463],"clock_positions":[151,807,1463],"native_values":[270,613,100],"rotation_degrees":27.621951219512194,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[270,613,100],"beta":{"interval_sums":[322385,334445,308476],"interval_residues":[944,225,797],"display_cycle":[944,225,797],"intervals":[{"from_index":151,"to_index":807,"sum":322385,"residue":944},{"from_index":807,"to_index":1463,"sum":334445,"residue":225},{"from_index":1463,"to_index":151,"sum":308476,"residue":797}],"minimal_cycle":[944,225,797],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":944,"start_interval_clock_positions":[151,807],"circle_positions":983,"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":[152,808,1464],"clock_positions":[152,808,1464],"native_values":[222,453,308],"rotation_degrees":27.804878048780488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[222,453,308],"beta":{"interval_sums":[322776,334092,308438],"interval_residues":[352,855,759],"display_cycle":[352,855,759],"intervals":[{"from_index":152,"to_index":808,"sum":322776,"residue":352},{"from_index":808,"to_index":1464,"sum":334092,"residue":855},{"from_index":1464,"to_index":152,"sum":308438,"residue":759}],"minimal_cycle":[352,855,759],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[152,808],"circle_positions":983,"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":[153,809,1465],"clock_positions":[153,809,1465],"native_values":[492,83,408],"rotation_degrees":27.98780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,83,408],"beta":{"interval_sums":[322737,334317,308252],"interval_residues":[313,97,573],"display_cycle":[313,97,573],"intervals":[{"from_index":153,"to_index":809,"sum":322737,"residue":313},{"from_index":809,"to_index":1465,"sum":334317,"residue":97},{"from_index":1465,"to_index":153,"sum":308252,"residue":573}],"minimal_cycle":[313,97,573],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":313,"start_interval_clock_positions":[153,809],"circle_positions":983,"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":[154,810,1466],"clock_positions":[154,810,1466],"native_values":[714,536,716],"rotation_degrees":28.170731707317074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[714,536,716],"beta":{"interval_sums":[322106,334189,308028],"interval_residues":[665,952,349],"display_cycle":[665,952,349],"intervals":[{"from_index":154,"to_index":810,"sum":322106,"residue":665},{"from_index":810,"to_index":1466,"sum":334189,"residue":952},{"from_index":1466,"to_index":154,"sum":308028,"residue":349}],"minimal_cycle":[665,952,349],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":665,"start_interval_clock_positions":[154,810],"circle_positions":983,"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":[155,811,1467],"clock_positions":[155,811,1467],"native_values":[223,619,141],"rotation_degrees":28.353658536585368,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,619,141],"beta":{"interval_sums":[322419,334286,308601],"interval_residues":[978,66,922],"display_cycle":[978,66,922],"intervals":[{"from_index":155,"to_index":811,"sum":322419,"residue":978},{"from_index":811,"to_index":1467,"sum":334286,"residue":66},{"from_index":1467,"to_index":155,"sum":308601,"residue":922}],"minimal_cycle":[978,66,922],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":978,"start_interval_clock_positions":[155,811],"circle_positions":983,"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":[156,812,1468],"clock_positions":[156,812,1468],"native_values":[937,172,857],"rotation_degrees":28.536585365853657,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[937,172,857],"beta":{"interval_sums":[322101,334255,307967],"interval_residues":[660,35,288],"display_cycle":[660,35,288],"intervals":[{"from_index":156,"to_index":812,"sum":322101,"residue":660},{"from_index":812,"to_index":1468,"sum":334255,"residue":35},{"from_index":1468,"to_index":156,"sum":307967,"residue":288}],"minimal_cycle":[660,35,288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":660,"start_interval_clock_positions":[156,812],"circle_positions":983,"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":[157,813,1469],"clock_positions":[157,813,1469],"native_values":[177,791,15],"rotation_degrees":28.71951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,791,15],"beta":{"interval_sums":[322096,334321,308889],"interval_residues":[655,101,227],"display_cycle":[655,101,227],"intervals":[{"from_index":157,"to_index":813,"sum":322096,"residue":655},{"from_index":813,"to_index":1469,"sum":334321,"residue":101},{"from_index":1469,"to_index":157,"sum":308889,"residue":227}],"minimal_cycle":[655,101,227],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":655,"start_interval_clock_positions":[157,813],"circle_positions":983,"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":[158,814,1470],"clock_positions":[158,814,1470],"native_values":[131,963,872],"rotation_degrees":28.902439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,963,872],"beta":{"interval_sums":[322756,333373,308194],"interval_residues":[332,136,515],"display_cycle":[332,136,515],"intervals":[{"from_index":158,"to_index":814,"sum":322756,"residue":332},{"from_index":814,"to_index":1470,"sum":333373,"residue":136},{"from_index":1470,"to_index":158,"sum":308194,"residue":515}],"minimal_cycle":[332,136,515],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[158,814],"circle_positions":983,"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":[159,815,1471],"clock_positions":[159,815,1471],"native_values":[308,771,887],"rotation_degrees":29.085365853658537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[308,771,887],"beta":{"interval_sums":[323411,333474,307438],"interval_residues":[4,237,742],"display_cycle":[4,237,742],"intervals":[{"from_index":159,"to_index":815,"sum":323411,"residue":4},{"from_index":815,"to_index":1471,"sum":333474,"residue":237},{"from_index":1471,"to_index":159,"sum":307438,"residue":742}],"minimal_cycle":[4,237,742],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[159,815],"circle_positions":983,"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":[160,816,1472],"clock_positions":[160,816,1472],"native_values":[439,751,776],"rotation_degrees":29.26829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[439,751,776],"beta":{"interval_sums":[323743,333610,306970],"interval_residues":[336,373,274],"display_cycle":[336,373,274],"intervals":[{"from_index":160,"to_index":816,"sum":323743,"residue":336},{"from_index":816,"to_index":1472,"sum":333610,"residue":373},{"from_index":1472,"to_index":160,"sum":306970,"residue":274}],"minimal_cycle":[336,373,274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[160,816],"circle_positions":983,"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":[161,817,1473],"clock_positions":[161,817,1473],"native_values":[747,539,680],"rotation_degrees":29.451219512195124,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[747,539,680],"beta":{"interval_sums":[323747,333847,306729],"interval_residues":[340,610,33],"display_cycle":[340,610,33],"intervals":[{"from_index":161,"to_index":817,"sum":323747,"residue":340},{"from_index":817,"to_index":1473,"sum":333847,"residue":610},{"from_index":1473,"to_index":161,"sum":306729,"residue":33}],"minimal_cycle":[340,610,33],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":340,"start_interval_clock_positions":[161,817],"circle_positions":983,"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":[162,818,1474],"clock_positions":[162,818,1474],"native_values":[203,307,473],"rotation_degrees":29.634146341463413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,307,473],"beta":{"interval_sums":[324083,334220,307003],"interval_residues":[676,0,307],"display_cycle":[676,983,307],"intervals":[{"from_index":162,"to_index":818,"sum":324083,"residue":676},{"from_index":818,"to_index":1474,"sum":334220,"residue":0},{"from_index":1474,"to_index":162,"sum":307003,"residue":307}],"minimal_cycle":[676,0,307],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":676,"start_interval_clock_positions":[162,818],"circle_positions":983,"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":[163,819,1475],"clock_positions":[163,819,1475],"native_values":[950,846,170],"rotation_degrees":29.817073170731707,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[950,846,170],"beta":{"interval_sums":[323440,333847,307036],"interval_residues":[33,610,340],"display_cycle":[33,610,340],"intervals":[{"from_index":163,"to_index":819,"sum":323440,"residue":33},{"from_index":819,"to_index":1475,"sum":333847,"residue":610},{"from_index":1475,"to_index":163,"sum":307036,"residue":340}],"minimal_cycle":[33,610,340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":33,"start_interval_clock_positions":[163,819],"circle_positions":983,"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":[164,820,1476],"clock_positions":[164,820,1476],"native_values":[170,170,643],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[170,170,643],"beta":{"interval_sums":[324116,333847,307343],"interval_residues":[709,610,647],"display_cycle":[709,610,647],"intervals":[{"from_index":164,"to_index":820,"sum":324116,"residue":709},{"from_index":820,"to_index":1476,"sum":333847,"residue":610},{"from_index":1476,"to_index":164,"sum":307343,"residue":647}],"minimal_cycle":[709,610,647],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":709,"start_interval_clock_positions":[164,820],"circle_positions":983,"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":[165,821,1477],"clock_positions":[165,821,1477],"native_values":[137,33,813],"rotation_degrees":30.182926829268293,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,33,813],"beta":{"interval_sums":[324149,334457,306700],"interval_residues":[742,237,4],"display_cycle":[742,237,4],"intervals":[{"from_index":165,"to_index":821,"sum":324149,"residue":742},{"from_index":821,"to_index":1477,"sum":334457,"residue":237},{"from_index":1477,"to_index":165,"sum":306700,"residue":4}],"minimal_cycle":[742,237,4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":742,"start_interval_clock_positions":[165,821],"circle_positions":983,"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":[166,822,1478],"clock_positions":[166,822,1478],"native_values":[307,203,473],"rotation_degrees":30.365853658536587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,203,473],"beta":{"interval_sums":[323875,335067,306364],"interval_residues":[468,847,651],"display_cycle":[468,847,651],"intervals":[{"from_index":166,"to_index":822,"sum":323875,"residue":468},{"from_index":822,"to_index":1478,"sum":335067,"residue":847},{"from_index":1478,"to_index":166,"sum":306364,"residue":651}],"minimal_cycle":[468,847,651],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[166,822],"circle_positions":983,"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":[167,823,1479],"clock_positions":[167,823,1479],"native_values":[444,236,303],"rotation_degrees":30.548780487804876,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[444,236,303],"beta":{"interval_sums":[323634,335304,306368],"interval_residues":[227,101,655],"display_cycle":[227,101,655],"intervals":[{"from_index":167,"to_index":823,"sum":323634,"residue":227},{"from_index":823,"to_index":1479,"sum":335304,"residue":101},{"from_index":1479,"to_index":167,"sum":306368,"residue":655}],"minimal_cycle":[227,101,655],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":227,"start_interval_clock_positions":[167,823],"circle_positions":983,"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":[168,824,1480],"clock_positions":[168,824,1480],"native_values":[751,439,776],"rotation_degrees":30.73170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[751,439,776],"beta":{"interval_sums":[323119,335168,306036],"interval_residues":[695,948,323],"display_cycle":[695,948,323],"intervals":[{"from_index":168,"to_index":824,"sum":323119,"residue":695},{"from_index":824,"to_index":1480,"sum":335168,"residue":948},{"from_index":1480,"to_index":168,"sum":306036,"residue":323}],"minimal_cycle":[695,948,323],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":695,"start_interval_clock_positions":[168,824],"circle_positions":983,"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":[169,825,1481],"clock_positions":[169,825,1481],"native_values":[212,675,96],"rotation_degrees":30.914634146341463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[212,675,96],"beta":{"interval_sums":[323346,335269,306691],"interval_residues":[922,66,978],"display_cycle":[922,66,978],"intervals":[{"from_index":169,"to_index":825,"sum":323346,"residue":922},{"from_index":825,"to_index":1481,"sum":335269,"residue":66},{"from_index":1481,"to_index":169,"sum":306691,"residue":978}],"minimal_cycle":[922,66,978],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":922,"start_interval_clock_positions":[169,825],"circle_positions":983,"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":[170,826,1482],"clock_positions":[170,826,1482],"native_values":[963,131,872],"rotation_degrees":31.097560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[963,131,872],"beta":{"interval_sums":[323058,335234,306031],"interval_residues":[634,31,318],"display_cycle":[634,31,318],"intervals":[{"from_index":170,"to_index":826,"sum":323058,"residue":634},{"from_index":826,"to_index":1482,"sum":335234,"residue":31},{"from_index":1482,"to_index":170,"sum":306031,"residue":318}],"minimal_cycle":[634,31,318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":634,"start_interval_clock_positions":[170,826],"circle_positions":983,"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":[171,827,1483],"clock_positions":[171,827,1483],"native_values":[192,806,968],"rotation_degrees":31.28048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[192,806,968],"beta":{"interval_sums":[322997,335300,306026],"interval_residues":[573,97,313],"display_cycle":[573,97,313],"intervals":[{"from_index":171,"to_index":827,"sum":322997,"residue":573},{"from_index":827,"to_index":1483,"sum":335300,"residue":97},{"from_index":1483,"to_index":171,"sum":306026,"residue":313}],"minimal_cycle":[573,97,313],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":573,"start_interval_clock_positions":[171,827],"circle_positions":983,"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":[172,828,1484],"clock_positions":[172,828,1484],"native_values":[172,937,857],"rotation_degrees":31.463414634146343,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[172,937,857],"beta":{"interval_sums":[323631,335331,305361],"interval_residues":[224,128,631],"display_cycle":[224,128,631],"intervals":[{"from_index":172,"to_index":828,"sum":323631,"residue":224},{"from_index":828,"to_index":1484,"sum":335331,"residue":128},{"from_index":1484,"to_index":172,"sum":305361,"residue":631}],"minimal_cycle":[224,128,631],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[172,828],"circle_positions":983,"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":[173,829,1485],"clock_positions":[173,829,1485],"native_values":[364,760,842],"rotation_degrees":31.646341463414632,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[364,760,842],"beta":{"interval_sums":[324204,335428,304691],"interval_residues":[797,225,944],"display_cycle":[797,225,944],"intervals":[{"from_index":173,"to_index":829,"sum":324204,"residue":797},{"from_index":829,"to_index":1485,"sum":335428,"residue":225},{"from_index":1485,"to_index":173,"sum":304691,"residue":944}],"minimal_cycle":[797,225,944],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":797,"start_interval_clock_positions":[173,829],"circle_positions":983,"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":[174,830,1486],"clock_positions":[174,830,1486],"native_values":[536,714,716],"rotation_degrees":31.829268292682926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[536,714,716],"beta":{"interval_sums":[324428,335556,304339],"interval_residues":[38,353,592],"display_cycle":[38,353,592],"intervals":[{"from_index":174,"to_index":830,"sum":324428,"residue":38},{"from_index":830,"to_index":1486,"sum":335556,"residue":353},{"from_index":1486,"to_index":174,"sum":304339,"residue":592}],"minimal_cycle":[38,353,592],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[174,830],"circle_positions":983,"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":[175,831,1487],"clock_positions":[175,831,1487],"native_values":[900,491,575],"rotation_degrees":32.01219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[900,491,575],"beta":{"interval_sums":[324242,335781,304300],"interval_residues":[835,578,553],"display_cycle":[835,578,553],"intervals":[{"from_index":175,"to_index":831,"sum":324242,"residue":835},{"from_index":831,"to_index":1487,"sum":335781,"residue":578},{"from_index":1487,"to_index":175,"sum":304300,"residue":553}],"minimal_cycle":[835,578,553],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":835,"start_interval_clock_positions":[175,831],"circle_positions":983,"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":[176,832,1488],"clock_positions":[176,832,1488],"native_values":[453,222,308],"rotation_degrees":32.19512195121951,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[453,222,308],"beta":{"interval_sums":[324280,336134,304892],"interval_residues":[873,931,162],"display_cycle":[873,931,162],"intervals":[{"from_index":176,"to_index":832,"sum":324280,"residue":873},{"from_index":832,"to_index":1488,"sum":336134,"residue":931},{"from_index":1488,"to_index":176,"sum":304892,"residue":162}],"minimal_cycle":[873,931,162],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":873,"start_interval_clock_positions":[176,832],"circle_positions":983,"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":[177,833,1489],"clock_positions":[177,833,1489],"native_values":[370,713,883],"rotation_degrees":32.3780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[370,713,883],"beta":{"interval_sums":[324132,335729,304462],"interval_residues":[725,526,715],"display_cycle":[725,526,715],"intervals":[{"from_index":177,"to_index":833,"sum":324132,"residue":725},{"from_index":833,"to_index":1489,"sum":335729,"residue":526},{"from_index":1489,"to_index":177,"sum":304462,"residue":715}],"minimal_cycle":[725,526,715],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":725,"start_interval_clock_positions":[177,833],"circle_positions":983,"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":[178,834,1490],"clock_positions":[178,834,1490],"native_values":[823,935,208],"rotation_degrees":32.5609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[823,935,208],"beta":{"interval_sums":[324022,335677,304624],"interval_residues":[615,474,877],"display_cycle":[615,474,877],"intervals":[{"from_index":178,"to_index":834,"sum":324022,"residue":615},{"from_index":834,"to_index":1490,"sum":335677,"residue":474},{"from_index":1490,"to_index":178,"sum":304624,"residue":877}],"minimal_cycle":[615,474,877],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":615,"start_interval_clock_positions":[178,834],"circle_positions":983,"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":[179,835,1491],"clock_positions":[179,835,1491],"native_values":[210,665,108],"rotation_degrees":32.74390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[210,665,108],"beta":{"interval_sums":[324747,335220,305339],"interval_residues":[357,17,609],"display_cycle":[357,17,609],"intervals":[{"from_index":179,"to_index":835,"sum":324747,"residue":357},{"from_index":835,"to_index":1491,"sum":335220,"residue":17},{"from_index":1491,"to_index":179,"sum":305339,"residue":609}],"minimal_cycle":[357,17,609],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":357,"start_interval_clock_positions":[179,835],"circle_positions":983,"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":[180,836,1492],"clock_positions":[180,836,1492],"native_values":[50,617,316],"rotation_degrees":32.926829268292686,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[50,617,316],"beta":{"interval_sums":[325362,334711,305233],"interval_residues":[972,491,503],"display_cycle":[972,491,503],"intervals":[{"from_index":180,"to_index":836,"sum":325362,"residue":972},{"from_index":836,"to_index":1492,"sum":334711,"residue":491},{"from_index":1492,"to_index":180,"sum":305233,"residue":503}],"minimal_cycle":[972,491,503],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":972,"start_interval_clock_positions":[180,836],"circle_positions":983,"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":[181,837,1493],"clock_positions":[181,837,1493],"native_values":[260,299,424],"rotation_degrees":33.109756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[260,299,424],"beta":{"interval_sums":[325719,334728,304859],"interval_residues":[346,508,129],"display_cycle":[346,508,129],"intervals":[{"from_index":181,"to_index":837,"sum":325719,"residue":346},{"from_index":837,"to_index":1493,"sum":334728,"residue":508},{"from_index":1493,"to_index":181,"sum":304859,"residue":129}],"minimal_cycle":[346,508,129],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[181,837],"circle_positions":983,"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":[182,838,1494],"clock_positions":[182,838,1494],"native_values":[310,916,740],"rotation_degrees":33.292682926829265,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[310,916,740],"beta":{"interval_sums":[325708,334236,304379],"interval_residues":[335,16,632],"display_cycle":[335,16,632],"intervals":[{"from_index":182,"to_index":838,"sum":325708,"residue":335},{"from_index":838,"to_index":1494,"sum":334236,"residue":16},{"from_index":1494,"to_index":182,"sum":304379,"residue":632}],"minimal_cycle":[335,16,632],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":335,"start_interval_clock_positions":[182,838],"circle_positions":983,"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":[183,839,1495],"clock_positions":[183,839,1495],"native_values":[570,232,181],"rotation_degrees":33.47560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[570,232,181],"beta":{"interval_sums":[326054,334744,304508],"interval_residues":[681,524,761],"display_cycle":[681,524,761],"intervals":[{"from_index":183,"to_index":839,"sum":326054,"residue":681},{"from_index":839,"to_index":1495,"sum":334744,"residue":524},{"from_index":1495,"to_index":183,"sum":304508,"residue":761}],"minimal_cycle":[681,524,761],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":681,"start_interval_clock_positions":[183,839],"circle_positions":983,"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":[184,840,1496],"clock_positions":[184,840,1496],"native_values":[880,165,921],"rotation_degrees":33.65853658536585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[880,165,921],"beta":{"interval_sums":[325406,334760,304157],"interval_residues":[33,540,410],"display_cycle":[33,540,410],"intervals":[{"from_index":184,"to_index":840,"sum":325406,"residue":33},{"from_index":840,"to_index":1496,"sum":334760,"residue":540},{"from_index":1496,"to_index":184,"sum":304157,"residue":410}],"minimal_cycle":[33,540,410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":33,"start_interval_clock_positions":[184,840],"circle_positions":983,"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":[185,841,1497],"clock_positions":[185,841,1497],"native_values":[467,397,119],"rotation_degrees":33.84146341463415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[467,397,119],"beta":{"interval_sums":[325104,335284,304918],"interval_residues":[714,81,188],"display_cycle":[714,81,188],"intervals":[{"from_index":185,"to_index":841,"sum":325104,"residue":714},{"from_index":841,"to_index":1497,"sum":335284,"residue":81},{"from_index":1497,"to_index":185,"sum":304918,"residue":188}],"minimal_cycle":[714,81,188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":714,"start_interval_clock_positions":[185,841],"circle_positions":983,"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":[186,842,1498],"clock_positions":[186,842,1498],"native_values":[364,562,57],"rotation_degrees":34.02439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[364,562,57],"beta":{"interval_sums":[325137,334841,305328],"interval_residues":[747,621,598],"display_cycle":[747,621,598],"intervals":[{"from_index":186,"to_index":842,"sum":325137,"residue":747},{"from_index":842,"to_index":1498,"sum":334841,"residue":621},{"from_index":1498,"to_index":186,"sum":305328,"residue":598}],"minimal_cycle":[747,621,598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":747,"start_interval_clock_positions":[186,842],"circle_positions":983,"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":[187,843,1499],"clock_positions":[187,843,1499],"native_values":[831,959,176],"rotation_degrees":34.207317073170735,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[831,959,176],"beta":{"interval_sums":[324868,333939,305516],"interval_residues":[478,702,786],"display_cycle":[478,702,786],"intervals":[{"from_index":187,"to_index":843,"sum":324868,"residue":478},{"from_index":843,"to_index":1499,"sum":333939,"residue":702},{"from_index":1499,"to_index":187,"sum":305516,"residue":786}],"minimal_cycle":[478,702,786],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":478,"start_interval_clock_positions":[187,843],"circle_positions":983,"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":[188,844,1500],"clock_positions":[188,844,1500],"native_values":[212,538,233],"rotation_degrees":34.390243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[212,538,233],"beta":{"interval_sums":[325615,333577,306114],"interval_residues":[242,340,401],"display_cycle":[242,340,401],"intervals":[{"from_index":188,"to_index":844,"sum":325615,"residue":242},{"from_index":844,"to_index":1500,"sum":333577,"residue":340},{"from_index":1500,"to_index":188,"sum":306114,"residue":401}],"minimal_cycle":[242,340,401],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":242,"start_interval_clock_positions":[188,844],"circle_positions":983,"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":[189,845,1501],"clock_positions":[189,845,1501],"native_values":[60,514,409],"rotation_degrees":34.573170731707314,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,514,409],"beta":{"interval_sums":[326093,333296,305917],"interval_residues":[720,59,204],"display_cycle":[720,59,204],"intervals":[{"from_index":189,"to_index":845,"sum":326093,"residue":720},{"from_index":845,"to_index":1501,"sum":333296,"residue":59},{"from_index":1501,"to_index":189,"sum":305917,"residue":204}],"minimal_cycle":[720,59,204],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":720,"start_interval_clock_positions":[189,845],"circle_positions":983,"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":[190,846,1502],"clock_positions":[190,846,1502],"native_values":[272,69,642],"rotation_degrees":34.75609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[272,69,642],"beta":{"interval_sums":[326335,333636,305335],"interval_residues":[962,399,605],"display_cycle":[962,399,605],"intervals":[{"from_index":190,"to_index":846,"sum":326335,"residue":962},{"from_index":846,"to_index":1502,"sum":333636,"residue":399},{"from_index":1502,"to_index":190,"sum":305335,"residue":605}],"minimal_cycle":[962,399,605],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":962,"start_interval_clock_positions":[190,846],"circle_positions":983,"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":[191,847,1503],"clock_positions":[191,847,1503],"native_values":[332,583,68],"rotation_degrees":34.9390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[332,583,68],"beta":{"interval_sums":[326072,333695,305539],"interval_residues":[699,458,809],"display_cycle":[699,458,809],"intervals":[{"from_index":191,"to_index":847,"sum":326072,"residue":699},{"from_index":847,"to_index":1503,"sum":333695,"residue":458},{"from_index":1503,"to_index":191,"sum":305539,"residue":809}],"minimal_cycle":[699,458,809],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":699,"start_interval_clock_positions":[191,847],"circle_positions":983,"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":[192,848,1504],"clock_positions":[192,848,1504],"native_values":[604,652,710],"rotation_degrees":35.1219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[604,652,710],"beta":{"interval_sums":[326051,333111,305161],"interval_residues":[678,857,431],"display_cycle":[678,857,431],"intervals":[{"from_index":192,"to_index":848,"sum":326051,"residue":678},{"from_index":848,"to_index":1504,"sum":333111,"residue":857},{"from_index":1504,"to_index":192,"sum":305161,"residue":431}],"minimal_cycle":[678,857,431],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[192,848],"circle_positions":983,"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":[193,849,1505],"clock_positions":[193,849,1505],"native_values":[936,252,778],"rotation_degrees":35.30487804878049,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[936,252,778],"beta":{"interval_sums":[325767,333569,304987],"interval_residues":[394,332,257],"display_cycle":[394,332,257],"intervals":[{"from_index":193,"to_index":849,"sum":325767,"residue":394},{"from_index":849,"to_index":1505,"sum":333569,"residue":332},{"from_index":1505,"to_index":193,"sum":304987,"residue":257}],"minimal_cycle":[394,332,257],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[193,849],"circle_positions":983,"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":[194,850,1506],"clock_positions":[194,850,1506],"native_values":[557,904,505],"rotation_degrees":35.48780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,904,505],"beta":{"interval_sums":[325462,333443,305418],"interval_residues":[89,206,688],"display_cycle":[89,206,688],"intervals":[{"from_index":194,"to_index":850,"sum":325462,"residue":89},{"from_index":850,"to_index":1506,"sum":333443,"residue":206},{"from_index":1506,"to_index":194,"sum":305418,"residue":688}],"minimal_cycle":[89,206,688],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[194,850],"circle_positions":983,"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":[195,851,1507],"clock_positions":[195,851,1507],"native_values":[510,173,300],"rotation_degrees":35.670731707317074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[510,173,300],"beta":{"interval_sums":[325856,333775,305675],"interval_residues":[483,538,945],"display_cycle":[483,538,945],"intervals":[{"from_index":195,"to_index":851,"sum":325856,"residue":483},{"from_index":851,"to_index":1507,"sum":333775,"residue":538},{"from_index":1507,"to_index":195,"sum":305675,"residue":945}],"minimal_cycle":[483,538,945],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":483,"start_interval_clock_positions":[195,851],"circle_positions":983,"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":[196,852,1508],"clock_positions":[196,852,1508],"native_values":[84,94,805],"rotation_degrees":35.853658536585364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[84,94,805],"beta":{"interval_sums":[325945,333981,305380],"interval_residues":[572,744,650],"display_cycle":[572,744,650],"intervals":[{"from_index":196,"to_index":852,"sum":325945,"residue":572},{"from_index":852,"to_index":1508,"sum":333981,"residue":744},{"from_index":1508,"to_index":196,"sum":305380,"residue":650}],"minimal_cycle":[572,744,650],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":572,"start_interval_clock_positions":[196,852],"circle_positions":983,"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":[197,853,1509],"clock_positions":[197,853,1509],"native_values":[594,267,122],"rotation_degrees":36.03658536585366,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[594,267,122],"beta":{"interval_sums":[325445,334519,305342],"interval_residues":[72,299,612],"display_cycle":[72,299,612],"intervals":[{"from_index":197,"to_index":853,"sum":325445,"residue":72},{"from_index":853,"to_index":1509,"sum":334519,"residue":299},{"from_index":1509,"to_index":197,"sum":305342,"residue":612}],"minimal_cycle":[72,299,612],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[197,853],"circle_positions":983,"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":[198,854,1510],"clock_positions":[198,854,1510],"native_values":[678,361,927],"rotation_degrees":36.21951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[678,361,927],"beta":{"interval_sums":[325034,334280,305009],"interval_residues":[644,60,279],"display_cycle":[644,60,279],"intervals":[{"from_index":198,"to_index":854,"sum":325034,"residue":644},{"from_index":854,"to_index":1510,"sum":334280,"residue":60},{"from_index":1510,"to_index":198,"sum":305009,"residue":279}],"minimal_cycle":[644,60,279],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[198,854],"circle_positions":983,"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":[199,855,1511],"clock_positions":[199,855,1511],"native_values":[289,628,66],"rotation_degrees":36.40243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[289,628,66],"beta":{"interval_sums":[325106,334579,305621],"interval_residues":[716,359,891],"display_cycle":[716,359,891],"intervals":[{"from_index":199,"to_index":855,"sum":325106,"residue":716},{"from_index":855,"to_index":1511,"sum":334579,"residue":359},{"from_index":1511,"to_index":199,"sum":305621,"residue":891}],"minimal_cycle":[716,359,891],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":716,"start_interval_clock_positions":[199,855],"circle_positions":983,"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":[200,856,1512],"clock_positions":[200,856,1512],"native_values":[967,6,10],"rotation_degrees":36.58536585365854,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[967,6,10],"beta":{"interval_sums":[324767,334639,305900],"interval_residues":[377,419,187],"display_cycle":[377,419,187],"intervals":[{"from_index":200,"to_index":856,"sum":324767,"residue":377},{"from_index":856,"to_index":1512,"sum":334639,"residue":419},{"from_index":1512,"to_index":200,"sum":305900,"residue":187}],"minimal_cycle":[377,419,187],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[200,856],"circle_positions":983,"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":[201,857,1513],"clock_positions":[201,857,1513],"native_values":[273,634,76],"rotation_degrees":36.76829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[273,634,76],"beta":{"interval_sums":[324500,334015,306791],"interval_residues":[110,778,95],"display_cycle":[110,778,95],"intervals":[{"from_index":201,"to_index":857,"sum":324500,"residue":110},{"from_index":857,"to_index":1513,"sum":334015,"residue":778},{"from_index":1513,"to_index":201,"sum":306791,"residue":95}],"minimal_cycle":[110,778,95],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":110,"start_interval_clock_positions":[201,857],"circle_positions":983,"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":[202,858,1514],"clock_positions":[202,858,1514],"native_values":[257,640,86],"rotation_degrees":36.951219512195124,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,640,86],"beta":{"interval_sums":[324877,333451,306978],"interval_residues":[487,214,282],"display_cycle":[487,214,282],"intervals":[{"from_index":202,"to_index":858,"sum":324877,"residue":487},{"from_index":858,"to_index":1514,"sum":333451,"residue":214},{"from_index":1514,"to_index":202,"sum":306978,"residue":282}],"minimal_cycle":[487,214,282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":487,"start_interval_clock_positions":[202,858],"circle_positions":983,"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":[203,859,1515],"clock_positions":[203,859,1515],"native_values":[530,291,162],"rotation_degrees":37.13414634146341,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[530,291,162],"beta":{"interval_sums":[324987,333246,307073],"interval_residues":[597,9,377],"display_cycle":[597,9,377],"intervals":[{"from_index":203,"to_index":859,"sum":324987,"residue":597},{"from_index":859,"to_index":1515,"sum":333246,"residue":9},{"from_index":1515,"to_index":203,"sum":307073,"residue":377}],"minimal_cycle":[597,9,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":597,"start_interval_clock_positions":[203,859],"circle_positions":983,"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":[204,860,1516],"clock_positions":[204,860,1516],"native_values":[787,931,248],"rotation_degrees":37.31707317073171,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[787,931,248],"beta":{"interval_sums":[324491,332477,307355],"interval_residues":[101,223,659],"display_cycle":[101,223,659],"intervals":[{"from_index":204,"to_index":860,"sum":324491,"residue":101},{"from_index":860,"to_index":1516,"sum":332477,"residue":223},{"from_index":1516,"to_index":204,"sum":307355,"residue":659}],"minimal_cycle":[101,223,659],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":101,"start_interval_clock_positions":[204,860],"circle_positions":983,"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":[205,861,1517],"clock_positions":[205,861,1517],"native_values":[334,239,410],"rotation_degrees":37.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[334,239,410],"beta":{"interval_sums":[325088,332486,307732],"interval_residues":[698,232,53],"display_cycle":[698,232,53],"intervals":[{"from_index":205,"to_index":861,"sum":325088,"residue":698},{"from_index":861,"to_index":1517,"sum":332486,"residue":232},{"from_index":1517,"to_index":205,"sum":307732,"residue":53}],"minimal_cycle":[698,232,53],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":698,"start_interval_clock_positions":[205,861],"circle_positions":983,"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":[206,862,1518],"clock_positions":[206,862,1518],"native_values":[138,187,658],"rotation_degrees":37.68292682926829,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[138,187,658],"beta":{"interval_sums":[325189,332709,307408],"interval_residues":[799,455,712],"display_cycle":[799,455,712],"intervals":[{"from_index":206,"to_index":862,"sum":325189,"residue":799},{"from_index":862,"to_index":1518,"sum":332709,"residue":455},{"from_index":1518,"to_index":206,"sum":307408,"residue":712}],"minimal_cycle":[799,455,712],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":799,"start_interval_clock_positions":[206,862],"circle_positions":983,"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":[207,863,1519],"clock_positions":[207,863,1519],"native_values":[472,426,85],"rotation_degrees":37.86585365853659,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[472,426,85],"beta":{"interval_sums":[324904,332941,307461],"interval_residues":[514,687,765],"display_cycle":[514,687,765],"intervals":[{"from_index":207,"to_index":863,"sum":324904,"residue":514},{"from_index":863,"to_index":1519,"sum":332941,"residue":687},{"from_index":1519,"to_index":207,"sum":307461,"residue":765}],"minimal_cycle":[514,687,765],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":514,"start_interval_clock_positions":[207,863],"circle_positions":983,"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":[208,864,1520],"clock_positions":[208,864,1520],"native_values":[610,613,743],"rotation_degrees":38.048780487804876,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,613,743],"beta":{"interval_sums":[324720,332413,307190],"interval_residues":[330,159,494],"display_cycle":[330,159,494],"intervals":[{"from_index":208,"to_index":864,"sum":324720,"residue":330},{"from_index":864,"to_index":1520,"sum":332413,"residue":159},{"from_index":1520,"to_index":208,"sum":307190,"residue":494}],"minimal_cycle":[330,159,494],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[208,864],"circle_positions":983,"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":[209,865,1521],"clock_positions":[209,865,1521],"native_values":[99,56,828],"rotation_degrees":38.23170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[99,56,828],"beta":{"interval_sums":[325234,333100,306972],"interval_residues":[844,846,276],"display_cycle":[844,846,276],"intervals":[{"from_index":209,"to_index":865,"sum":325234,"residue":844},{"from_index":865,"to_index":1521,"sum":333100,"residue":846},{"from_index":1521,"to_index":209,"sum":306972,"residue":276}],"minimal_cycle":[844,846,276],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":844,"start_interval_clock_positions":[209,865],"circle_positions":983,"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":[210,866,1522],"clock_positions":[210,866,1522],"native_values":[709,669,588],"rotation_degrees":38.41463414634146,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[709,669,588],"beta":{"interval_sums":[324581,333259,306483],"interval_residues":[191,22,770],"display_cycle":[191,22,770],"intervals":[{"from_index":210,"to_index":866,"sum":324581,"residue":191},{"from_index":866,"to_index":1522,"sum":333259,"residue":22},{"from_index":1522,"to_index":210,"sum":306483,"residue":770}],"minimal_cycle":[191,22,770],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":191,"start_interval_clock_positions":[210,866],"circle_positions":983,"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":[211,867,1523],"clock_positions":[211,867,1523],"native_values":[808,725,433],"rotation_degrees":38.59756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[808,725,433],"beta":{"interval_sums":[324442,333122,306759],"interval_residues":[52,868,63],"display_cycle":[52,868,63],"intervals":[{"from_index":211,"to_index":867,"sum":324442,"residue":52},{"from_index":867,"to_index":1523,"sum":333122,"residue":868},{"from_index":1523,"to_index":211,"sum":306759,"residue":63}],"minimal_cycle":[52,868,63],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[211,867],"circle_positions":983,"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":[212,868,1524],"clock_positions":[212,868,1524],"native_values":[534,411,38],"rotation_degrees":38.78048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[534,411,38],"beta":{"interval_sums":[324633,333144,307529],"interval_residues":[243,890,833],"display_cycle":[243,890,833],"intervals":[{"from_index":212,"to_index":868,"sum":324633,"residue":243},{"from_index":868,"to_index":1524,"sum":333144,"residue":890},{"from_index":1524,"to_index":212,"sum":307529,"residue":833}],"minimal_cycle":[243,890,833],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":243,"start_interval_clock_positions":[212,868],"circle_positions":983,"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":[213,869,1525],"clock_positions":[213,869,1525],"native_values":[359,153,471],"rotation_degrees":38.96341463414634,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,153,471],"beta":{"interval_sums":[324685,333029,307592],"interval_residues":[295,775,896],"display_cycle":[295,775,896],"intervals":[{"from_index":213,"to_index":869,"sum":324685,"residue":295},{"from_index":869,"to_index":1525,"sum":333029,"residue":775},{"from_index":1525,"to_index":213,"sum":307592,"residue":896}],"minimal_cycle":[295,775,896],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":295,"start_interval_clock_positions":[213,869],"circle_positions":983,"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":[214,870,1526],"clock_positions":[214,870,1526],"native_values":[893,564,509],"rotation_degrees":39.146341463414636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[893,564,509],"beta":{"interval_sums":[323945,332936,307442],"interval_residues":[538,682,746],"display_cycle":[538,682,746],"intervals":[{"from_index":214,"to_index":870,"sum":323945,"residue":538},{"from_index":870,"to_index":1526,"sum":332936,"residue":682},{"from_index":1526,"to_index":214,"sum":307442,"residue":746}],"minimal_cycle":[538,682,746],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":538,"start_interval_clock_positions":[214,870],"circle_positions":983,"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":[215,871,1527],"clock_positions":[215,871,1527],"native_values":[269,717,980],"rotation_degrees":39.329268292682926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[269,717,980],"beta":{"interval_sums":[324240,332728,307355],"interval_residues":[833,474,659],"display_cycle":[833,474,659],"intervals":[{"from_index":215,"to_index":871,"sum":324240,"residue":833},{"from_index":871,"to_index":1527,"sum":332728,"residue":474},{"from_index":1527,"to_index":215,"sum":307355,"residue":659}],"minimal_cycle":[833,474,659],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":833,"start_interval_clock_positions":[215,871],"circle_positions":983,"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":[216,872,1528],"clock_positions":[216,872,1528],"native_values":[179,298,506],"rotation_degrees":39.51219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[179,298,506],"beta":{"interval_sums":[324778,333410,307118],"interval_residues":[388,173,422],"display_cycle":[388,173,422],"intervals":[{"from_index":216,"to_index":872,"sum":324778,"residue":388},{"from_index":872,"to_index":1528,"sum":333410,"residue":173},{"from_index":1528,"to_index":216,"sum":307118,"residue":422}],"minimal_cycle":[388,173,422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":388,"start_interval_clock_positions":[216,872],"circle_positions":983,"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":[217,873,1529],"clock_positions":[217,873,1529],"native_values":[448,32,503],"rotation_degrees":39.69512195121951,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[448,32,503],"beta":{"interval_sums":[324628,333884,306794],"interval_residues":[238,647,98],"display_cycle":[238,647,98],"intervals":[{"from_index":217,"to_index":873,"sum":324628,"residue":238},{"from_index":873,"to_index":1529,"sum":333884,"residue":647},{"from_index":1529,"to_index":217,"sum":306794,"residue":98}],"minimal_cycle":[238,647,98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":238,"start_interval_clock_positions":[217,873],"circle_positions":983,"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":[218,874,1530],"clock_positions":[218,874,1530],"native_values":[627,330,26],"rotation_degrees":39.8780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[627,330,26],"beta":{"interval_sums":[324033,334057,307216],"interval_residues":[626,820,520],"display_cycle":[626,820,520],"intervals":[{"from_index":218,"to_index":874,"sum":324033,"residue":626},{"from_index":874,"to_index":1530,"sum":334057,"residue":820},{"from_index":1530,"to_index":218,"sum":307216,"residue":520}],"minimal_cycle":[626,820,520],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":626,"start_interval_clock_positions":[218,874],"circle_positions":983,"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":[219,875,1531],"clock_positions":[219,875,1531],"native_values":[92,362,529],"rotation_degrees":40.0609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[92,362,529],"beta":{"interval_sums":[324271,333721,307314],"interval_residues":[864,484,618],"display_cycle":[864,484,618],"intervals":[{"from_index":219,"to_index":875,"sum":324271,"residue":864},{"from_index":875,"to_index":1531,"sum":333721,"residue":484},{"from_index":1531,"to_index":219,"sum":307314,"residue":618}],"minimal_cycle":[864,484,618],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":864,"start_interval_clock_positions":[219,875],"circle_positions":983,"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":[220,876,1532],"clock_positions":[220,876,1532],"native_values":[719,692,555],"rotation_degrees":40.24390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[719,692,555],"beta":{"interval_sums":[323914,333558,306851],"interval_residues":[507,321,155],"display_cycle":[507,321,155],"intervals":[{"from_index":220,"to_index":876,"sum":323914,"residue":507},{"from_index":876,"to_index":1532,"sum":333558,"residue":321},{"from_index":1532,"to_index":220,"sum":306851,"residue":155}],"minimal_cycle":[507,321,155],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":507,"start_interval_clock_positions":[220,876],"circle_positions":983,"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":[221,877,1533],"clock_positions":[221,877,1533],"native_values":[811,71,101],"rotation_degrees":40.426829268292686,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[811,71,101],"beta":{"interval_sums":[323795,334042,307469],"interval_residues":[388,805,773],"display_cycle":[388,805,773],"intervals":[{"from_index":221,"to_index":877,"sum":323795,"residue":388},{"from_index":877,"to_index":1533,"sum":334042,"residue":805},{"from_index":1533,"to_index":221,"sum":307469,"residue":773}],"minimal_cycle":[388,805,773],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":388,"start_interval_clock_positions":[221,877],"circle_positions":983,"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":[222,878,1534],"clock_positions":[222,878,1534],"native_values":[547,763,656],"rotation_degrees":40.609756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[547,763,656],"beta":{"interval_sums":[323319,333380,307624],"interval_residues":[895,143,928],"display_cycle":[895,143,928],"intervals":[{"from_index":222,"to_index":878,"sum":323319,"residue":895},{"from_index":878,"to_index":1534,"sum":333380,"residue":143},{"from_index":1534,"to_index":222,"sum":307624,"residue":928}],"minimal_cycle":[895,143,928],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":895,"start_interval_clock_positions":[222,878],"circle_positions":983,"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":[223,879,1535],"clock_positions":[223,879,1535],"native_values":[375,834,757],"rotation_degrees":40.792682926829265,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[375,834,757],"beta":{"interval_sums":[323707,333202,307414],"interval_residues":[300,948,718],"display_cycle":[300,948,718],"intervals":[{"from_index":223,"to_index":879,"sum":323707,"residue":300},{"from_index":879,"to_index":1535,"sum":333202,"residue":948},{"from_index":1535,"to_index":223,"sum":307414,"residue":718}],"minimal_cycle":[300,948,718],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":300,"start_interval_clock_positions":[223,879],"circle_positions":983,"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":[224,880,1536],"clock_positions":[224,880,1536],"native_values":[922,614,430],"rotation_degrees":40.97560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[922,614,430],"beta":{"interval_sums":[323619,333345,307359],"interval_residues":[212,108,663],"display_cycle":[212,108,663],"intervals":[{"from_index":224,"to_index":880,"sum":323619,"residue":212},{"from_index":880,"to_index":1536,"sum":333345,"residue":108},{"from_index":1536,"to_index":224,"sum":307359,"residue":663}],"minimal_cycle":[212,108,663],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":212,"start_interval_clock_positions":[224,880],"circle_positions":983,"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":[225,881,1537],"clock_positions":[225,881,1537],"native_values":[314,465,204],"rotation_degrees":41.15853658536585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[314,465,204],"beta":{"interval_sums":[323919,333310,308077],"interval_residues":[512,73,398],"display_cycle":[512,73,398],"intervals":[{"from_index":225,"to_index":881,"sum":323919,"residue":512},{"from_index":881,"to_index":1537,"sum":333310,"residue":73},{"from_index":1537,"to_index":225,"sum":308077,"residue":398}],"minimal_cycle":[512,73,398],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":512,"start_interval_clock_positions":[225,881],"circle_positions":983,"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":[226,882,1538],"clock_positions":[226,882,1538],"native_values":[253,96,634],"rotation_degrees":41.34146341463415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[253,96,634],"beta":{"interval_sums":[324131,333418,307757],"interval_residues":[724,181,78],"display_cycle":[724,181,78],"intervals":[{"from_index":226,"to_index":882,"sum":324131,"residue":724},{"from_index":882,"to_index":1538,"sum":333418,"residue":181},{"from_index":1538,"to_index":226,"sum":307757,"residue":78}],"minimal_cycle":[724,181,78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":724,"start_interval_clock_positions":[226,882],"circle_positions":983,"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":[227,883,1539],"clock_positions":[227,883,1539],"native_values":[567,561,838],"rotation_degrees":41.52439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,561,838],"beta":{"interval_sums":[323660,333491,307172],"interval_residues":[253,254,476],"display_cycle":[253,254,476],"intervals":[{"from_index":227,"to_index":883,"sum":323660,"residue":253},{"from_index":883,"to_index":1539,"sum":333491,"residue":254},{"from_index":1539,"to_index":227,"sum":307172,"residue":476}],"minimal_cycle":[253,254,476],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":253,"start_interval_clock_positions":[227,883],"circle_positions":983,"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":[228,884,1540],"clock_positions":[228,884,1540],"native_values":[820,657,489],"rotation_degrees":41.707317073170735,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[820,657,489],"beta":{"interval_sums":[323401,333672,307250],"interval_residues":[977,435,554],"display_cycle":[977,435,554],"intervals":[{"from_index":228,"to_index":884,"sum":323401,"residue":977},{"from_index":884,"to_index":1540,"sum":333672,"residue":435},{"from_index":1540,"to_index":228,"sum":307250,"residue":554}],"minimal_cycle":[977,435,554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":977,"start_interval_clock_positions":[228,884],"circle_positions":983,"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":[229,885,1541],"clock_positions":[229,885,1541],"native_values":[404,235,344],"rotation_degrees":41.890243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[404,235,344],"beta":{"interval_sums":[323654,333926,307726],"interval_residues":[247,689,47],"display_cycle":[247,689,47],"intervals":[{"from_index":229,"to_index":885,"sum":323654,"residue":247},{"from_index":885,"to_index":1541,"sum":333926,"residue":689},{"from_index":1541,"to_index":229,"sum":307726,"residue":47}],"minimal_cycle":[247,689,47],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":247,"start_interval_clock_positions":[229,885],"circle_positions":983,"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":[230,886,1542],"clock_positions":[230,886,1542],"native_values":[241,892,833],"rotation_degrees":42.073170731707314,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,892,833],"beta":{"interval_sums":[323648,333378,307297],"interval_residues":[241,141,601],"display_cycle":[241,141,601],"intervals":[{"from_index":230,"to_index":886,"sum":323648,"residue":241},{"from_index":886,"to_index":1542,"sum":333378,"residue":141},{"from_index":1542,"to_index":230,"sum":307297,"residue":601}],"minimal_cycle":[241,141,601],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":241,"start_interval_clock_positions":[230,886],"circle_positions":983,"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":[231,887,1543],"clock_positions":[231,887,1543],"native_values":[645,144,194],"rotation_degrees":42.25609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[645,144,194],"beta":{"interval_sums":[323895,334067,307344],"interval_residues":[488,830,648],"display_cycle":[488,830,648],"intervals":[{"from_index":231,"to_index":887,"sum":323895,"residue":488},{"from_index":887,"to_index":1543,"sum":334067,"residue":830},{"from_index":1543,"to_index":231,"sum":307344,"residue":648}],"minimal_cycle":[488,830,648],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":488,"start_interval_clock_positions":[231,887],"circle_positions":983,"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":[232,888,1544],"clock_positions":[232,888,1544],"native_values":[886,53,44],"rotation_degrees":42.4390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[886,53,44],"beta":{"interval_sums":[323153,334208,307945],"interval_residues":[729,971,266],"display_cycle":[729,971,266],"intervals":[{"from_index":232,"to_index":888,"sum":323153,"residue":729},{"from_index":888,"to_index":1544,"sum":334208,"residue":971},{"from_index":1544,"to_index":232,"sum":307945,"residue":266}],"minimal_cycle":[729,971,266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":729,"start_interval_clock_positions":[232,888],"circle_positions":983,"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":[233,889,1545],"clock_positions":[233,889,1545],"native_values":[548,197,238],"rotation_degrees":42.6219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[548,197,238],"beta":{"interval_sums":[322658,334055,308593],"interval_residues":[234,818,914],"display_cycle":[234,818,914],"intervals":[{"from_index":233,"to_index":889,"sum":322658,"residue":234},{"from_index":889,"to_index":1545,"sum":334055,"residue":818},{"from_index":1545,"to_index":233,"sum":308593,"residue":914}],"minimal_cycle":[234,818,914],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[233,889],"circle_positions":983,"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":[234,890,1546],"clock_positions":[234,890,1546],"native_values":[451,250,282],"rotation_degrees":42.80487804878049,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,250,282],"beta":{"interval_sums":[322404,334043,308859],"interval_residues":[963,806,197],"display_cycle":[963,806,197],"intervals":[{"from_index":234,"to_index":890,"sum":322404,"residue":963},{"from_index":890,"to_index":1546,"sum":334043,"residue":806},{"from_index":1546,"to_index":234,"sum":308859,"residue":197}],"minimal_cycle":[963,806,197],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":963,"start_interval_clock_positions":[234,890],"circle_positions":983,"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":[235,891,1547],"clock_positions":[235,891,1547],"native_values":[16,447,520],"rotation_degrees":42.98780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[16,447,520],"beta":{"interval_sums":[322638,333878,308790],"interval_residues":[214,641,128],"display_cycle":[214,641,128],"intervals":[{"from_index":235,"to_index":891,"sum":322638,"residue":214},{"from_index":891,"to_index":1547,"sum":333878,"residue":641},{"from_index":1547,"to_index":235,"sum":308790,"residue":128}],"minimal_cycle":[214,641,128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":214,"start_interval_clock_positions":[235,891],"circle_positions":983,"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":[236,892,1548],"clock_positions":[236,892,1548],"native_values":[467,697,802],"rotation_degrees":43.170731707317074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[467,697,802],"beta":{"interval_sums":[322618,333701,308004],"interval_residues":[194,464,325],"display_cycle":[194,464,325],"intervals":[{"from_index":236,"to_index":892,"sum":322618,"residue":194},{"from_index":892,"to_index":1548,"sum":333701,"residue":464},{"from_index":1548,"to_index":236,"sum":308004,"residue":325}],"minimal_cycle":[194,464,325],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[236,892],"circle_positions":983,"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":[237,893,1549],"clock_positions":[237,893,1549],"native_values":[483,161,339],"rotation_degrees":43.353658536585364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,161,339],"beta":{"interval_sums":[322832,334342,308132],"interval_residues":[408,122,453],"display_cycle":[408,122,453],"intervals":[{"from_index":237,"to_index":893,"sum":322832,"residue":408},{"from_index":893,"to_index":1549,"sum":334342,"residue":122},{"from_index":1549,"to_index":237,"sum":308132,"residue":453}],"minimal_cycle":[408,122,453],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[237,893],"circle_positions":983,"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":[238,894,1550],"clock_positions":[238,894,1550],"native_values":[950,858,158],"rotation_degrees":43.53658536585366,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[950,858,158],"beta":{"interval_sums":[322043,333823,308457],"interval_residues":[602,586,778],"display_cycle":[602,586,778],"intervals":[{"from_index":238,"to_index":894,"sum":322043,"residue":602},{"from_index":894,"to_index":1550,"sum":333823,"residue":586},{"from_index":1550,"to_index":238,"sum":308457,"residue":778}],"minimal_cycle":[602,586,778],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":602,"start_interval_clock_positions":[238,894],"circle_positions":983,"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":[239,895,1551],"clock_positions":[239,895,1551],"native_values":[450,36,497],"rotation_degrees":43.71951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[450,36,497],"beta":{"interval_sums":[322451,333945,308910],"interval_residues":[27,708,248],"display_cycle":[27,708,248],"intervals":[{"from_index":239,"to_index":895,"sum":322451,"residue":27},{"from_index":895,"to_index":1551,"sum":333945,"residue":708},{"from_index":1551,"to_index":239,"sum":308910,"residue":248}],"minimal_cycle":[27,708,248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":27,"start_interval_clock_positions":[239,895],"circle_positions":983,"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":[240,896,1552],"clock_positions":[240,896,1552],"native_values":[417,894,655],"rotation_degrees":43.90243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,894,655],"beta":{"interval_sums":[322070,333548,308705],"interval_residues":[629,311,43],"display_cycle":[629,311,43],"intervals":[{"from_index":240,"to_index":896,"sum":322070,"residue":629},{"from_index":896,"to_index":1552,"sum":333548,"residue":311},{"from_index":1552,"to_index":240,"sum":308705,"residue":43}],"minimal_cycle":[629,311,43],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":629,"start_interval_clock_positions":[240,896],"circle_positions":983,"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":[241,897,1553],"clock_positions":[241,897,1553],"native_values":[867,930,169],"rotation_degrees":44.08536585365854,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[867,930,169],"beta":{"interval_sums":[322097,333273,308953],"interval_residues":[656,36,291],"display_cycle":[656,36,291],"intervals":[{"from_index":241,"to_index":897,"sum":322097,"residue":656},{"from_index":897,"to_index":1553,"sum":333273,"residue":36},{"from_index":1553,"to_index":241,"sum":308953,"residue":291}],"minimal_cycle":[656,36,291],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":656,"start_interval_clock_positions":[241,897],"circle_positions":983,"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":[242,898,1554],"clock_positions":[242,898,1554],"native_values":[301,841,824],"rotation_degrees":44.26829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,841,824],"beta":{"interval_sums":[322726,332601,308996],"interval_residues":[302,347,334],"display_cycle":[302,347,334],"intervals":[{"from_index":242,"to_index":898,"sum":322726,"residue":302},{"from_index":898,"to_index":1554,"sum":332601,"residue":347},{"from_index":1554,"to_index":242,"sum":308996,"residue":334}],"minimal_cycle":[302,347,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":302,"start_interval_clock_positions":[242,898],"circle_positions":983,"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":[243,899,1555],"clock_positions":[243,899,1555],"native_values":[185,788,10],"rotation_degrees":44.451219512195124,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[185,788,10],"beta":{"interval_sums":[323382,332637,309287],"interval_residues":[958,383,625],"display_cycle":[958,383,625],"intervals":[{"from_index":243,"to_index":899,"sum":323382,"residue":958},{"from_index":899,"to_index":1555,"sum":332637,"residue":383},{"from_index":1555,"to_index":243,"sum":309287,"residue":625}],"minimal_cycle":[958,383,625],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":958,"start_interval_clock_positions":[243,899],"circle_positions":983,"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":[244,900,1556],"clock_positions":[244,900,1556],"native_values":[486,646,834],"rotation_degrees":44.63414634146341,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[486,646,834],"beta":{"interval_sums":[323684,332001,308638],"interval_residues":[277,730,959],"display_cycle":[277,730,959],"intervals":[{"from_index":244,"to_index":900,"sum":323684,"residue":277},{"from_index":900,"to_index":1556,"sum":332001,"residue":730},{"from_index":1556,"to_index":244,"sum":308638,"residue":959}],"minimal_cycle":[277,730,959],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":277,"start_interval_clock_positions":[244,900],"circle_positions":983,"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":[245,901,1557],"clock_positions":[245,901,1557],"native_values":[671,451,844],"rotation_degrees":44.81707317073171,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,451,844],"beta":{"interval_sums":[323659,332384,308280],"interval_residues":[252,130,601],"display_cycle":[252,130,601],"intervals":[{"from_index":245,"to_index":901,"sum":323659,"residue":252},{"from_index":901,"to_index":1557,"sum":332384,"residue":130},{"from_index":1557,"to_index":245,"sum":308280,"residue":601}],"minimal_cycle":[252,130,601],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":252,"start_interval_clock_positions":[245,901],"circle_positions":983,"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":[246,902,1558],"clock_positions":[246,902,1558],"native_values":[174,114,695],"rotation_degrees":45.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[174,114,695],"beta":{"interval_sums":[323936,333114,308256],"interval_residues":[529,860,577],"display_cycle":[529,860,577],"intervals":[{"from_index":246,"to_index":902,"sum":323936,"residue":529},{"from_index":902,"to_index":1558,"sum":333114,"residue":860},{"from_index":1558,"to_index":246,"sum":308256,"residue":577}],"minimal_cycle":[529,860,577],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":529,"start_interval_clock_positions":[246,902],"circle_positions":983,"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":[247,903,1559],"clock_positions":[247,903,1559],"native_values":[845,565,556],"rotation_degrees":45.18292682926829,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[845,565,556],"beta":{"interval_sums":[323205,333244,307874],"interval_residues":[781,7,195],"display_cycle":[781,7,195],"intervals":[{"from_index":247,"to_index":903,"sum":323205,"residue":781},{"from_index":903,"to_index":1559,"sum":333244,"residue":7},{"from_index":1559,"to_index":247,"sum":307874,"residue":195}],"minimal_cycle":[781,7,195],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":781,"start_interval_clock_positions":[247,903],"circle_positions":983,"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":[248,904,1560],"clock_positions":[248,904,1560],"native_values":[36,679,268],"rotation_degrees":45.36585365853659,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,679,268],"beta":{"interval_sums":[323734,333121,308451],"interval_residues":[327,867,772],"display_cycle":[327,867,772],"intervals":[{"from_index":248,"to_index":904,"sum":323734,"residue":327},{"from_index":904,"to_index":1560,"sum":333121,"residue":867},{"from_index":1560,"to_index":248,"sum":308451,"residue":772}],"minimal_cycle":[327,867,772],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":327,"start_interval_clock_positions":[248,904],"circle_positions":983,"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":[249,905,1561],"clock_positions":[249,905,1561],"native_values":[881,261,824],"rotation_degrees":45.548780487804876,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[881,261,824],"beta":{"interval_sums":[323532,333128,307663],"interval_residues":[125,874,967],"display_cycle":[125,874,967],"intervals":[{"from_index":249,"to_index":905,"sum":323532,"residue":125},{"from_index":905,"to_index":1561,"sum":333128,"residue":874},{"from_index":1561,"to_index":249,"sum":307663,"residue":967}],"minimal_cycle":[125,874,967],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":125,"start_interval_clock_positions":[249,905],"circle_positions":983,"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":[250,906,1562],"clock_positions":[250,906,1562],"native_values":[917,940,109],"rotation_degrees":45.73170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[917,940,109],"beta":{"interval_sums":[322876,333012,308435],"interval_residues":[452,758,756],"display_cycle":[452,758,756],"intervals":[{"from_index":250,"to_index":906,"sum":322876,"residue":452},{"from_index":906,"to_index":1562,"sum":333012,"residue":758},{"from_index":1562,"to_index":250,"sum":308435,"residue":756}],"minimal_cycle":[452,758,756],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[250,906],"circle_positions":983,"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":[251,907,1563],"clock_positions":[251,907,1563],"native_values":[815,218,933],"rotation_degrees":45.91463414634146,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[815,218,933],"beta":{"interval_sums":[323001,332903,308419],"interval_residues":[577,649,740],"display_cycle":[577,649,740],"intervals":[{"from_index":251,"to_index":907,"sum":323001,"residue":577},{"from_index":907,"to_index":1563,"sum":332903,"residue":649},{"from_index":1563,"to_index":251,"sum":308419,"residue":740}],"minimal_cycle":[577,649,740],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":577,"start_interval_clock_positions":[251,907],"circle_positions":983,"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":[252,908,1564],"clock_positions":[252,908,1564],"native_values":[749,175,59],"rotation_degrees":46.09756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[749,175,59],"beta":{"interval_sums":[322470,333661,309175],"interval_residues":[46,424,513],"display_cycle":[46,424,513],"intervals":[{"from_index":252,"to_index":908,"sum":322470,"residue":46},{"from_index":908,"to_index":1564,"sum":333661,"residue":424},{"from_index":1564,"to_index":252,"sum":309175,"residue":513}],"minimal_cycle":[46,424,513],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[252,908],"circle_positions":983,"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":[253,909,1565],"clock_positions":[253,909,1565],"native_values":[581,393,9],"rotation_degrees":46.28048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[581,393,9],"beta":{"interval_sums":[322064,333327,309915],"interval_residues":[623,90,270],"display_cycle":[623,90,270],"intervals":[{"from_index":253,"to_index":909,"sum":322064,"residue":623},{"from_index":909,"to_index":1565,"sum":333327,"residue":90},{"from_index":1565,"to_index":253,"sum":309915,"residue":270}],"minimal_cycle":[623,90,270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":623,"start_interval_clock_positions":[253,909],"circle_positions":983,"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":[254,910,1566],"clock_positions":[254,910,1566],"native_values":[347,568,68],"rotation_degrees":46.46341463414634,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,568,68],"beta":{"interval_sums":[322110,332768,310428],"interval_residues":[669,514,783],"display_cycle":[669,514,783],"intervals":[{"from_index":254,"to_index":910,"sum":322110,"residue":669},{"from_index":910,"to_index":1566,"sum":332768,"residue":514},{"from_index":1566,"to_index":254,"sum":310428,"residue":783}],"minimal_cycle":[669,514,783],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":669,"start_interval_clock_positions":[254,910],"circle_positions":983,"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":[255,911,1567],"clock_positions":[255,911,1567],"native_values":[928,961,77],"rotation_degrees":46.646341463414636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[928,961,77],"beta":{"interval_sums":[321750,331875,310698],"interval_residues":[309,604,70],"display_cycle":[309,604,70],"intervals":[{"from_index":255,"to_index":911,"sum":321750,"residue":309},{"from_index":911,"to_index":1567,"sum":331875,"residue":604},{"from_index":1567,"to_index":255,"sum":310698,"residue":70}],"minimal_cycle":[309,604,70],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":309,"start_interval_clock_positions":[255,911],"circle_positions":983,"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":[256,912,1568],"clock_positions":[256,912,1568],"native_values":[292,546,145],"rotation_degrees":46.829268292682926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,546,145],"beta":{"interval_sums":[322419,331406,311481],"interval_residues":[978,135,853],"display_cycle":[978,135,853],"intervals":[{"from_index":256,"to_index":912,"sum":322419,"residue":978},{"from_index":912,"to_index":1568,"sum":331406,"residue":135},{"from_index":1568,"to_index":256,"sum":311481,"residue":853}],"minimal_cycle":[978,135,853],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":978,"start_interval_clock_positions":[256,912],"circle_positions":983,"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":[257,913,1569],"clock_positions":[257,913,1569],"native_values":[237,524,222],"rotation_degrees":47.01219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,524,222],"beta":{"interval_sums":[322728,331027,311551],"interval_residues":[304,739,923],"display_cycle":[304,739,923],"intervals":[{"from_index":257,"to_index":913,"sum":322728,"residue":304},{"from_index":913,"to_index":1569,"sum":331027,"residue":739},{"from_index":1569,"to_index":257,"sum":311551,"residue":923}],"minimal_cycle":[304,739,923],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":304,"start_interval_clock_positions":[257,913],"circle_positions":983,"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":[258,914,1570],"clock_positions":[258,914,1570],"native_values":[529,87,367],"rotation_degrees":47.19512195121951,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[529,87,367],"beta":{"interval_sums":[322723,331162,311421],"interval_residues":[299,874,793],"display_cycle":[299,874,793],"intervals":[{"from_index":258,"to_index":914,"sum":322723,"residue":299},{"from_index":914,"to_index":1570,"sum":331162,"residue":874},{"from_index":1570,"to_index":258,"sum":311421,"residue":793}],"minimal_cycle":[299,874,793],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":299,"start_interval_clock_positions":[258,914],"circle_positions":983,"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":[259,915,1571],"clock_positions":[259,915,1571],"native_values":[766,611,589],"rotation_degrees":47.3780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[766,611,589],"beta":{"interval_sums":[322044,330918,311361],"interval_residues":[603,630,733],"display_cycle":[603,630,733],"intervals":[{"from_index":259,"to_index":915,"sum":322044,"residue":603},{"from_index":915,"to_index":1571,"sum":330918,"residue":630},{"from_index":1571,"to_index":259,"sum":311361,"residue":733}],"minimal_cycle":[603,630,733],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":603,"start_interval_clock_positions":[259,915],"circle_positions":983,"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":[260,916,1572],"clock_positions":[260,916,1572],"native_values":[312,698,956],"rotation_degrees":47.5609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[312,698,956],"beta":{"interval_sums":[322343,330809,311171],"interval_residues":[902,521,543],"display_cycle":[902,521,543],"intervals":[{"from_index":260,"to_index":916,"sum":322343,"residue":902},{"from_index":916,"to_index":1572,"sum":330809,"residue":521},{"from_index":1572,"to_index":260,"sum":311171,"residue":543}],"minimal_cycle":[902,521,543],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":902,"start_interval_clock_positions":[260,916],"circle_positions":983,"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":[261,917,1573],"clock_positions":[261,917,1573],"native_values":[95,326,562],"rotation_degrees":47.74390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,326,562],"beta":{"interval_sums":[322946,331439,310921],"interval_residues":[522,168,293],"display_cycle":[522,168,293],"intervals":[{"from_index":261,"to_index":917,"sum":322946,"residue":522},{"from_index":917,"to_index":1573,"sum":331439,"residue":168},{"from_index":1573,"to_index":261,"sum":310921,"residue":293}],"minimal_cycle":[522,168,293],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":522,"start_interval_clock_positions":[261,917],"circle_positions":983,"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":[262,918,1574],"clock_positions":[262,918,1574],"native_values":[407,41,535],"rotation_degrees":47.926829268292686,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[407,41,535],"beta":{"interval_sums":[322865,331960,310481],"interval_residues":[441,689,836],"display_cycle":[441,689,836],"intervals":[{"from_index":262,"to_index":918,"sum":322865,"residue":441},{"from_index":918,"to_index":1574,"sum":331960,"residue":689},{"from_index":1574,"to_index":262,"sum":310481,"residue":836}],"minimal_cycle":[441,689,836],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":441,"start_interval_clock_positions":[262,918],"circle_positions":983,"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":[263,919,1575],"clock_positions":[263,919,1575],"native_values":[502,367,114],"rotation_degrees":48.109756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,367,114],"beta":{"interval_sums":[322404,332128,310774],"interval_residues":[963,857,146],"display_cycle":[963,857,146],"intervals":[{"from_index":263,"to_index":919,"sum":322404,"residue":963},{"from_index":919,"to_index":1575,"sum":332128,"residue":857},{"from_index":1575,"to_index":263,"sum":310774,"residue":146}],"minimal_cycle":[963,857,146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":963,"start_interval_clock_positions":[263,919],"circle_positions":983,"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":[264,920,1576],"clock_positions":[264,920,1576],"native_values":[909,408,649],"rotation_degrees":48.292682926829265,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[909,408,649],"beta":{"interval_sums":[321862,331834,310627],"interval_residues":[421,563,982],"display_cycle":[421,563,982],"intervals":[{"from_index":264,"to_index":920,"sum":321862,"residue":421},{"from_index":920,"to_index":1576,"sum":331834,"residue":563},{"from_index":1576,"to_index":264,"sum":310627,"residue":982}],"minimal_cycle":[421,563,982],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":421,"start_interval_clock_positions":[264,920],"circle_positions":983,"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":[265,921,1577],"clock_positions":[265,921,1577],"native_values":[428,775,763],"rotation_degrees":48.47560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,775,763],"beta":{"interval_sums":[321842,331708,310773],"interval_residues":[401,437,145],"display_cycle":[401,437,145],"intervals":[{"from_index":265,"to_index":921,"sum":321842,"residue":401},{"from_index":921,"to_index":1577,"sum":331708,"residue":437},{"from_index":1577,"to_index":265,"sum":310773,"residue":145}],"minimal_cycle":[401,437,145],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":401,"start_interval_clock_positions":[265,921],"circle_positions":983,"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":[266,922,1578],"clock_positions":[266,922,1578],"native_values":[354,200,429],"rotation_degrees":48.65853658536585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[354,200,429],"beta":{"interval_sums":[322263,332271,310772],"interval_residues":[822,17,144],"display_cycle":[822,17,144],"intervals":[{"from_index":266,"to_index":922,"sum":322263,"residue":822},{"from_index":922,"to_index":1578,"sum":332271,"residue":17},{"from_index":1578,"to_index":266,"sum":310772,"residue":144}],"minimal_cycle":[822,17,144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":822,"start_interval_clock_positions":[266,922],"circle_positions":983,"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":[267,923,1579],"clock_positions":[267,923,1579],"native_values":[782,975,209],"rotation_degrees":48.84146341463415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[782,975,209],"beta":{"interval_sums":[321681,331725,310917],"interval_residues":[240,454,289],"display_cycle":[240,454,289],"intervals":[{"from_index":267,"to_index":923,"sum":321681,"residue":240},{"from_index":923,"to_index":1579,"sum":331725,"residue":454},{"from_index":1579,"to_index":267,"sum":310917,"residue":289}],"minimal_cycle":[240,454,289],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[267,923],"circle_positions":983,"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":[268,924,1580],"clock_positions":[268,924,1580],"native_values":[153,192,638],"rotation_degrees":49.02439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[153,192,638],"beta":{"interval_sums":[322503,331742,311061],"interval_residues":[79,471,433],"display_cycle":[79,471,433],"intervals":[{"from_index":268,"to_index":924,"sum":322503,"residue":79},{"from_index":924,"to_index":1580,"sum":331742,"residue":471},{"from_index":1580,"to_index":268,"sum":311061,"residue":433}],"minimal_cycle":[79,471,433],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":79,"start_interval_clock_positions":[268,924],"circle_positions":983,"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":[269,925,1581],"clock_positions":[269,925,1581],"native_values":[935,184,847],"rotation_degrees":49.207317073170735,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[935,184,847],"beta":{"interval_sums":[321760,332196,310367],"interval_residues":[319,925,722],"display_cycle":[319,925,722],"intervals":[{"from_index":269,"to_index":925,"sum":321760,"residue":319},{"from_index":925,"to_index":1581,"sum":332196,"residue":925},{"from_index":1581,"to_index":269,"sum":310367,"residue":722}],"minimal_cycle":[319,925,722],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":319,"start_interval_clock_positions":[269,925],"circle_positions":983,"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":[270,926,1582],"clock_positions":[270,926,1582],"native_values":[105,376,502],"rotation_degrees":49.390243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[105,376,502],"beta":{"interval_sums":[321839,332667,310800],"interval_residues":[398,413,172],"display_cycle":[398,413,172],"intervals":[{"from_index":270,"to_index":926,"sum":321839,"residue":398},{"from_index":926,"to_index":1582,"sum":332667,"residue":413},{"from_index":1582,"to_index":270,"sum":310800,"residue":172}],"minimal_cycle":[398,413,172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":398,"start_interval_clock_positions":[270,926],"circle_positions":983,"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":[271,927,1583],"clock_positions":[271,927,1583],"native_values":[57,560,366],"rotation_degrees":49.573170731707314,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,560,366],"beta":{"interval_sums":[322158,332609,310539],"interval_residues":[717,355,894],"display_cycle":[717,355,894],"intervals":[{"from_index":271,"to_index":927,"sum":322158,"residue":717},{"from_index":927,"to_index":1583,"sum":332609,"residue":355},{"from_index":1583,"to_index":271,"sum":310539,"residue":894}],"minimal_cycle":[717,355,894],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":717,"start_interval_clock_positions":[271,927],"circle_positions":983,"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":[272,928,1584],"clock_positions":[272,928,1584],"native_values":[162,936,868],"rotation_degrees":49.75609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[162,936,868],"beta":{"interval_sums":[322556,332039,309728],"interval_residues":[132,768,83],"display_cycle":[132,768,83],"intervals":[{"from_index":272,"to_index":928,"sum":322556,"residue":132},{"from_index":928,"to_index":1584,"sum":332039,"residue":768},{"from_index":1584,"to_index":272,"sum":309728,"residue":83}],"minimal_cycle":[132,768,83],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[272,928],"circle_positions":983,"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":[273,929,1585],"clock_positions":[273,929,1585],"native_values":[219,513,251],"rotation_degrees":49.9390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,513,251],"beta":{"interval_sums":[323273,332394,309639],"interval_residues":[849,140,977],"display_cycle":[849,140,977],"intervals":[{"from_index":273,"to_index":929,"sum":323273,"residue":849},{"from_index":929,"to_index":1585,"sum":332394,"residue":140},{"from_index":1585,"to_index":273,"sum":309639,"residue":977}],"minimal_cycle":[849,140,977],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":849,"start_interval_clock_positions":[273,929],"circle_positions":983,"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":[274,930,1586],"clock_positions":[274,930,1586],"native_values":[381,466,136],"rotation_degrees":50.1219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,466,136],"beta":{"interval_sums":[323405,332179,309722],"interval_residues":[981,908,77],"display_cycle":[981,908,77],"intervals":[{"from_index":274,"to_index":930,"sum":323405,"residue":981},{"from_index":930,"to_index":1586,"sum":332179,"residue":908},{"from_index":1586,"to_index":274,"sum":309722,"residue":77}],"minimal_cycle":[981,908,77],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":981,"start_interval_clock_positions":[274,930],"circle_positions":983,"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":[275,931,1587],"clock_positions":[275,931,1587],"native_values":[600,979,387],"rotation_degrees":50.30487804878049,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[600,979,387],"beta":{"interval_sums":[323271,331336,309716],"interval_residues":[847,65,71],"display_cycle":[847,65,71],"intervals":[{"from_index":275,"to_index":931,"sum":323271,"residue":847},{"from_index":931,"to_index":1587,"sum":331336,"residue":65},{"from_index":1587,"to_index":275,"sum":309716,"residue":71}],"minimal_cycle":[847,65,71],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":847,"start_interval_clock_positions":[275,931],"circle_positions":983,"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":[276,932,1588],"clock_positions":[276,932,1588],"native_values":[981,462,523],"rotation_degrees":50.48780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[981,462,523],"beta":{"interval_sums":[323269,331261,309793],"interval_residues":[845,973,148],"display_cycle":[845,973,148],"intervals":[{"from_index":276,"to_index":932,"sum":323269,"residue":845},{"from_index":932,"to_index":1588,"sum":331261,"residue":973},{"from_index":1588,"to_index":276,"sum":309793,"residue":148}],"minimal_cycle":[845,973,148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":845,"start_interval_clock_positions":[276,932],"circle_positions":983,"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":[277,933,1589],"clock_positions":[277,933,1589],"native_values":[598,458,910],"rotation_degrees":50.670731707317074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[598,458,910],"beta":{"interval_sums":[323133,331326,309864],"interval_residues":[709,55,219],"display_cycle":[709,55,219],"intervals":[{"from_index":277,"to_index":933,"sum":323133,"residue":709},{"from_index":933,"to_index":1589,"sum":331326,"residue":55},{"from_index":1589,"to_index":277,"sum":309864,"residue":219}],"minimal_cycle":[709,55,219],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":709,"start_interval_clock_positions":[277,933],"circle_positions":983,"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":[278,934,1590],"clock_positions":[278,934,1590],"native_values":[596,920,450],"rotation_degrees":50.853658536585364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[596,920,450],"beta":{"interval_sums":[322995,331316,310012],"interval_residues":[571,45,367],"display_cycle":[571,45,367],"intervals":[{"from_index":278,"to_index":934,"sum":322995,"residue":571},{"from_index":934,"to_index":1590,"sum":331316,"residue":45},{"from_index":1590,"to_index":278,"sum":310012,"residue":367}],"minimal_cycle":[571,45,367],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":571,"start_interval_clock_positions":[278,934],"circle_positions":983,"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":[279,935,1591],"clock_positions":[279,935,1591],"native_values":[211,395,377],"rotation_degrees":51.03658536585366,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,395,377],"beta":{"interval_sums":[323704,331371,310231],"interval_residues":[297,100,586],"display_cycle":[297,100,586],"intervals":[{"from_index":279,"to_index":935,"sum":323704,"residue":297},{"from_index":935,"to_index":1591,"sum":331371,"residue":100},{"from_index":1591,"to_index":279,"sum":310231,"residue":586}],"minimal_cycle":[297,100,586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":297,"start_interval_clock_positions":[279,935],"circle_positions":983,"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":[280,936,1592],"clock_positions":[280,936,1592],"native_values":[807,332,827],"rotation_degrees":51.21951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[807,332,827],"beta":{"interval_sums":[323292,331416,309615],"interval_residues":[868,145,953],"display_cycle":[868,145,953],"intervals":[{"from_index":280,"to_index":936,"sum":323292,"residue":868},{"from_index":936,"to_index":1592,"sum":331416,"residue":145},{"from_index":1592,"to_index":280,"sum":309615,"residue":953}],"minimal_cycle":[868,145,953],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":868,"start_interval_clock_positions":[280,936],"circle_positions":983,"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":[281,937,1593],"clock_positions":[281,937,1593],"native_values":[35,727,221],"rotation_degrees":51.40243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[35,727,221],"beta":{"interval_sums":[323589,331516,310201],"interval_residues":[182,245,556],"display_cycle":[182,245,556],"intervals":[{"from_index":281,"to_index":937,"sum":323589,"residue":182},{"from_index":937,"to_index":1593,"sum":331516,"residue":245},{"from_index":1593,"to_index":281,"sum":310201,"residue":556}],"minimal_cycle":[182,245,556],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":182,"start_interval_clock_positions":[281,937],"circle_positions":983,"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":[282,938,1594],"clock_positions":[282,938,1594],"native_values":[842,76,65],"rotation_degrees":51.58536585365854,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[842,76,65],"beta":{"interval_sums":[323474,331661,310171],"interval_residues":[67,390,526],"display_cycle":[67,390,526],"intervals":[{"from_index":282,"to_index":938,"sum":323474,"residue":67},{"from_index":938,"to_index":1594,"sum":331661,"residue":390},{"from_index":1594,"to_index":282,"sum":310171,"residue":526}],"minimal_cycle":[67,390,526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":67,"start_interval_clock_positions":[282,938],"circle_positions":983,"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":[283,939,1595],"clock_positions":[283,939,1595],"native_values":[877,803,286],"rotation_degrees":51.76829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[877,803,286],"beta":{"interval_sums":[322673,330923,310727],"interval_residues":[249,635,99],"display_cycle":[249,635,99],"intervals":[{"from_index":283,"to_index":939,"sum":322673,"residue":249},{"from_index":939,"to_index":1595,"sum":330923,"residue":635},{"from_index":1595,"to_index":283,"sum":310727,"residue":99}],"minimal_cycle":[249,635,99],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":249,"start_interval_clock_positions":[283,939],"circle_positions":983,"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":[284,940,1596],"clock_positions":[284,940,1596],"native_values":[736,879,351],"rotation_degrees":51.951219512195124,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[736,879,351],"beta":{"interval_sums":[322740,330330,311253],"interval_residues":[316,42,625],"display_cycle":[316,42,625],"intervals":[{"from_index":284,"to_index":940,"sum":322740,"residue":316},{"from_index":940,"to_index":1596,"sum":330330,"residue":42},{"from_index":1596,"to_index":284,"sum":311253,"residue":625}],"minimal_cycle":[316,42,625],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":316,"start_interval_clock_positions":[284,940],"circle_positions":983,"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":[285,941,1597],"clock_positions":[285,941,1597],"native_values":[630,699,637],"rotation_degrees":52.13414634146341,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[630,699,637],"beta":{"interval_sums":[322989,329982,311352],"interval_residues":[565,677,724],"display_cycle":[565,677,724],"intervals":[{"from_index":285,"to_index":941,"sum":322989,"residue":565},{"from_index":941,"to_index":1597,"sum":329982,"residue":677},{"from_index":1597,"to_index":285,"sum":311352,"residue":724}],"minimal_cycle":[565,677,724],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":565,"start_interval_clock_positions":[285,941],"circle_positions":983,"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":[286,942,1598],"clock_positions":[286,942,1598],"native_values":[383,595,5],"rotation_degrees":52.31707317073171,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[383,595,5],"beta":{"interval_sums":[323305,330024,311977],"interval_residues":[881,719,366],"display_cycle":[881,719,366],"intervals":[{"from_index":286,"to_index":942,"sum":323305,"residue":881},{"from_index":942,"to_index":1598,"sum":330024,"residue":719},{"from_index":1598,"to_index":286,"sum":311977,"residue":366}],"minimal_cycle":[881,719,366],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":881,"start_interval_clock_positions":[286,942],"circle_positions":983,"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":[287,943,1599],"clock_positions":[287,943,1599],"native_values":[30,311,642],"rotation_degrees":52.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[30,311,642],"beta":{"interval_sums":[323870,329718,311718],"interval_residues":[463,413,107],"display_cycle":[463,413,107],"intervals":[{"from_index":287,"to_index":943,"sum":323870,"residue":463},{"from_index":943,"to_index":1599,"sum":329718,"residue":413},{"from_index":1599,"to_index":287,"sum":311718,"residue":107}],"minimal_cycle":[463,413,107],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":463,"start_interval_clock_positions":[287,943],"circle_positions":983,"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":[288,944,1600],"clock_positions":[288,944,1600],"native_values":[413,906,647],"rotation_degrees":52.68292682926829,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[413,906,647],"beta":{"interval_sums":[323768,329454,311101],"interval_residues":[361,149,473],"display_cycle":[361,149,473],"intervals":[{"from_index":288,"to_index":944,"sum":323768,"residue":361},{"from_index":944,"to_index":1600,"sum":329454,"residue":149},{"from_index":1600,"to_index":288,"sum":311101,"residue":473}],"minimal_cycle":[361,149,473],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":361,"start_interval_clock_positions":[288,944],"circle_positions":983,"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":[289,945,1601],"clock_positions":[289,945,1601],"native_values":[443,234,306],"rotation_degrees":52.86585365853659,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,234,306],"beta":{"interval_sums":[324231,329867,311208],"interval_residues":[824,562,580],"display_cycle":[824,562,580],"intervals":[{"from_index":289,"to_index":945,"sum":324231,"residue":824},{"from_index":945,"to_index":1601,"sum":329867,"residue":562},{"from_index":1601,"to_index":289,"sum":311208,"residue":580}],"minimal_cycle":[824,562,580],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":824,"start_interval_clock_positions":[289,945],"circle_positions":983,"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":[290,946,1602],"clock_positions":[290,946,1602],"native_values":[856,157,953],"rotation_degrees":53.048780487804876,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[856,157,953],"beta":{"interval_sums":[323609,330016,310698],"interval_residues":[202,711,70],"display_cycle":[202,711,70],"intervals":[{"from_index":290,"to_index":946,"sum":323609,"residue":202},{"from_index":946,"to_index":1602,"sum":330016,"residue":711},{"from_index":1602,"to_index":290,"sum":310698,"residue":70}],"minimal_cycle":[202,711,70],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[290,946],"circle_positions":983,"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":[291,947,1603],"clock_positions":[291,947,1603],"native_values":[316,391,276],"rotation_degrees":53.23170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[316,391,276],"beta":{"interval_sums":[323450,330578,311278],"interval_residues":[43,290,650],"display_cycle":[43,290,650],"intervals":[{"from_index":291,"to_index":947,"sum":323450,"residue":43},{"from_index":947,"to_index":1603,"sum":330578,"residue":290},{"from_index":1603,"to_index":291,"sum":311278,"residue":650}],"minimal_cycle":[43,290,650],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":43,"start_interval_clock_positions":[291,947],"circle_positions":983,"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":[292,948,1604],"clock_positions":[292,948,1604],"native_values":[189,548,246],"rotation_degrees":53.41463414634146,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[189,548,246],"beta":{"interval_sums":[323652,330306,311348],"interval_residues":[245,18,720],"display_cycle":[245,18,720],"intervals":[{"from_index":292,"to_index":948,"sum":323652,"residue":245},{"from_index":948,"to_index":1604,"sum":330306,"residue":18},{"from_index":1604,"to_index":292,"sum":311348,"residue":720}],"minimal_cycle":[245,18,720],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":245,"start_interval_clock_positions":[292,948],"circle_positions":983,"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":[293,949,1605],"clock_positions":[293,949,1605],"native_values":[505,939,522],"rotation_degrees":53.59756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[505,939,522],"beta":{"interval_sums":[323695,329613,311015],"interval_residues":[288,308,387],"display_cycle":[288,308,387],"intervals":[{"from_index":293,"to_index":949,"sum":323695,"residue":288},{"from_index":949,"to_index":1605,"sum":329613,"residue":308},{"from_index":1605,"to_index":293,"sum":311015,"residue":387}],"minimal_cycle":[288,308,387],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[293,949],"circle_positions":983,"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":[294,950,1606],"clock_positions":[294,950,1606],"native_values":[694,504,768],"rotation_degrees":53.78048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[694,504,768],"beta":{"interval_sums":[323940,329631,310752],"interval_residues":[533,326,124],"display_cycle":[533,326,124],"intervals":[{"from_index":294,"to_index":950,"sum":323940,"residue":533},{"from_index":950,"to_index":1606,"sum":329631,"residue":326},{"from_index":1606,"to_index":294,"sum":310752,"residue":124}],"minimal_cycle":[533,326,124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":533,"start_interval_clock_positions":[294,950],"circle_positions":983,"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":[295,951,1607],"clock_positions":[295,951,1607],"native_values":[216,460,307],"rotation_degrees":53.96341463414634,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[216,460,307],"beta":{"interval_sums":[324228,329939,311139],"interval_residues":[821,634,511],"display_cycle":[821,634,511],"intervals":[{"from_index":295,"to_index":951,"sum":324228,"residue":821},{"from_index":951,"to_index":1607,"sum":329939,"residue":634},{"from_index":1607,"to_index":295,"sum":311139,"residue":511}],"minimal_cycle":[821,634,511],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":821,"start_interval_clock_positions":[295,951],"circle_positions":983,"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":[296,952,1608],"clock_positions":[296,952,1608],"native_values":[910,964,92],"rotation_degrees":54.146341463414636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[910,964,92],"beta":{"interval_sums":[323778,329282,311263],"interval_residues":[371,960,635],"display_cycle":[371,960,635],"intervals":[{"from_index":296,"to_index":952,"sum":323778,"residue":371},{"from_index":952,"to_index":1608,"sum":329282,"residue":960},{"from_index":1608,"to_index":296,"sum":311263,"residue":635}],"minimal_cycle":[371,960,635],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":371,"start_interval_clock_positions":[296,952],"circle_positions":983,"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":[297,953,1609],"clock_positions":[297,953,1609],"native_values":[143,441,399],"rotation_degrees":54.329268292682926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[143,441,399],"beta":{"interval_sums":[324599,328933,311774],"interval_residues":[209,611,163],"display_cycle":[209,611,163],"intervals":[{"from_index":297,"to_index":953,"sum":324599,"residue":209},{"from_index":953,"to_index":1609,"sum":328933,"residue":611},{"from_index":1609,"to_index":297,"sum":311774,"residue":163}],"minimal_cycle":[209,611,163],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":209,"start_interval_clock_positions":[297,953],"circle_positions":983,"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":[298,954,1610],"clock_positions":[298,954,1610],"native_values":[70,422,491],"rotation_degrees":54.51219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[70,422,491],"beta":{"interval_sums":[324970,328910,311426],"interval_residues":[580,588,798],"display_cycle":[580,588,798],"intervals":[{"from_index":298,"to_index":954,"sum":324970,"residue":580},{"from_index":954,"to_index":1610,"sum":328910,"residue":588},{"from_index":1610,"to_index":298,"sum":311426,"residue":798}],"minimal_cycle":[580,588,798],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":580,"start_interval_clock_positions":[298,954],"circle_positions":983,"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":[299,955,1611],"clock_positions":[299,955,1611],"native_values":[213,863,890],"rotation_degrees":54.69512195121951,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,863,890],"beta":{"interval_sums":[325179,328538,310606],"interval_residues":[789,216,961],"display_cycle":[789,216,961],"intervals":[{"from_index":299,"to_index":955,"sum":325179,"residue":789},{"from_index":955,"to_index":1611,"sum":328538,"residue":216},{"from_index":1611,"to_index":299,"sum":310606,"residue":961}],"minimal_cycle":[789,216,961],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":789,"start_interval_clock_positions":[299,955],"circle_positions":983,"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":[300,956,1612],"clock_positions":[300,956,1612],"native_values":[283,302,398],"rotation_degrees":54.8780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,302,398],"beta":{"interval_sums":[325759,329126,310421],"interval_residues":[386,804,776],"display_cycle":[386,804,776],"intervals":[{"from_index":300,"to_index":956,"sum":325759,"residue":386},{"from_index":956,"to_index":1612,"sum":329126,"residue":804},{"from_index":1612,"to_index":300,"sum":310421,"residue":776}],"minimal_cycle":[386,804,776],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":386,"start_interval_clock_positions":[300,956],"circle_positions":983,"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":[301,957,1613],"clock_positions":[301,957,1613],"native_values":[496,182,305],"rotation_degrees":55.0609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[496,182,305],"beta":{"interval_sums":[325565,329342,310399],"interval_residues":[192,37,754],"display_cycle":[192,37,754],"intervals":[{"from_index":301,"to_index":957,"sum":325565,"residue":192},{"from_index":957,"to_index":1613,"sum":329342,"residue":37},{"from_index":1613,"to_index":301,"sum":310399,"residue":754}],"minimal_cycle":[192,37,754],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[301,957],"circle_positions":983,"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":[302,958,1614],"clock_positions":[302,958,1614],"native_values":[779,484,703],"rotation_degrees":55.24390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[779,484,703],"beta":{"interval_sums":[324968,329163,310192],"interval_residues":[578,841,547],"display_cycle":[578,841,547],"intervals":[{"from_index":302,"to_index":958,"sum":324968,"residue":578},{"from_index":958,"to_index":1614,"sum":329163,"residue":841},{"from_index":1614,"to_index":302,"sum":310192,"residue":547}],"minimal_cycle":[578,841,547],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[302,958],"circle_positions":983,"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":[303,959,1615],"clock_positions":[303,959,1615],"native_values":[292,666,25],"rotation_degrees":55.426829268292686,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,666,25],"beta":{"interval_sums":[325160,329200,310946],"interval_residues":[770,878,318],"display_cycle":[770,878,318],"intervals":[{"from_index":303,"to_index":959,"sum":325160,"residue":770},{"from_index":959,"to_index":1615,"sum":329200,"residue":878},{"from_index":1615,"to_index":303,"sum":310946,"residue":318}],"minimal_cycle":[770,878,318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":770,"start_interval_clock_positions":[303,959],"circle_positions":983,"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":[304,960,1616],"clock_positions":[304,960,1616],"native_values":[88,167,728],"rotation_degrees":55.609756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[88,167,728],"beta":{"interval_sums":[325738,329058,310510],"interval_residues":[365,736,865],"display_cycle":[365,736,865],"intervals":[{"from_index":304,"to_index":960,"sum":325738,"residue":365},{"from_index":960,"to_index":1616,"sum":329058,"residue":736},{"from_index":1616,"to_index":304,"sum":310510,"residue":865}],"minimal_cycle":[365,736,865],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":365,"start_interval_clock_positions":[304,960],"circle_positions":983,"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":[305,961,1617],"clock_positions":[305,961,1617],"native_values":[380,833,753],"rotation_degrees":55.792682926829265,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[380,833,753],"beta":{"interval_sums":[325525,328953,309845],"interval_residues":[152,631,200],"display_cycle":[152,631,200],"intervals":[{"from_index":305,"to_index":961,"sum":325525,"residue":152},{"from_index":961,"to_index":1617,"sum":328953,"residue":631},{"from_index":1617,"to_index":305,"sum":309845,"residue":200}],"minimal_cycle":[152,631,200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":152,"start_interval_clock_positions":[305,961],"circle_positions":983,"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":[306,962,1618],"clock_positions":[306,962,1618],"native_values":[468,17,498],"rotation_degrees":55.97560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[468,17,498],"beta":{"interval_sums":[325890,329689,309727],"interval_residues":[517,384,82],"display_cycle":[517,384,82],"intervals":[{"from_index":306,"to_index":962,"sum":325890,"residue":517},{"from_index":962,"to_index":1618,"sum":329689,"residue":384},{"from_index":1618,"to_index":306,"sum":309727,"residue":82}],"minimal_cycle":[517,384,82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":517,"start_interval_clock_positions":[306,962],"circle_positions":983,"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":[307,963,1619],"clock_positions":[307,963,1619],"native_values":[848,850,268],"rotation_degrees":56.15853658536585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[848,850,268],"beta":{"interval_sums":[325059,329337,309927],"interval_residues":[669,32,282],"display_cycle":[669,32,282],"intervals":[{"from_index":307,"to_index":963,"sum":325059,"residue":669},{"from_index":963,"to_index":1619,"sum":329337,"residue":32},{"from_index":1619,"to_index":307,"sum":309927,"residue":282}],"minimal_cycle":[669,32,282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":669,"start_interval_clock_positions":[307,963],"circle_positions":983,"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":[308,964,1620],"clock_positions":[308,964,1620],"native_values":[333,867,766],"rotation_degrees":56.34146341463415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,867,766],"beta":{"interval_sums":[325576,328738,310009],"interval_residues":[203,416,364],"display_cycle":[203,416,364],"intervals":[{"from_index":308,"to_index":964,"sum":325576,"residue":203},{"from_index":964,"to_index":1620,"sum":328738,"residue":416},{"from_index":1620,"to_index":308,"sum":310009,"residue":364}],"minimal_cycle":[203,416,364],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":203,"start_interval_clock_positions":[308,964],"circle_positions":983,"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":[309,965,1621],"clock_positions":[309,965,1621],"native_values":[198,734,51],"rotation_degrees":56.52439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[198,734,51],"beta":{"interval_sums":[326245,328770,310291],"interval_residues":[872,448,646],"display_cycle":[872,448,646],"intervals":[{"from_index":309,"to_index":965,"sum":326245,"residue":872},{"from_index":965,"to_index":1621,"sum":328770,"residue":448},{"from_index":1621,"to_index":309,"sum":310291,"residue":646}],"minimal_cycle":[872,448,646],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":872,"start_interval_clock_positions":[309,965],"circle_positions":983,"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":[310,966,1622],"clock_positions":[310,966,1622],"native_values":[531,618,817],"rotation_degrees":56.707317073170735,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[531,618,817],"beta":{"interval_sums":[326448,328203,309672],"interval_residues":[92,864,27],"display_cycle":[92,864,27],"intervals":[{"from_index":310,"to_index":966,"sum":326448,"residue":92},{"from_index":966,"to_index":1622,"sum":328203,"residue":864},{"from_index":1622,"to_index":310,"sum":309672,"residue":27}],"minimal_cycle":[92,864,27],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[310,966],"circle_positions":983,"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":[311,967,1623],"clock_positions":[311,967,1623],"native_values":[729,369,868],"rotation_degrees":56.890243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[729,369,868],"beta":{"interval_sums":[326337,328651,309335],"interval_residues":[964,329,673],"display_cycle":[964,329,673],"intervals":[{"from_index":311,"to_index":967,"sum":326337,"residue":964},{"from_index":967,"to_index":1623,"sum":328651,"residue":329},{"from_index":1623,"to_index":311,"sum":309335,"residue":673}],"minimal_cycle":[964,329,673],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":964,"start_interval_clock_positions":[311,967],"circle_positions":983,"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":[312,968,1624],"clock_positions":[312,968,1624],"native_values":[277,4,702],"rotation_degrees":57.073170731707314,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,4,702],"beta":{"interval_sums":[326429,329515,309362],"interval_residues":[73,210,700],"display_cycle":[73,210,700],"intervals":[{"from_index":312,"to_index":968,"sum":326429,"residue":73},{"from_index":968,"to_index":1624,"sum":329515,"residue":210},{"from_index":1624,"to_index":312,"sum":309362,"residue":700}],"minimal_cycle":[73,210,700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":73,"start_interval_clock_positions":[312,968],"circle_positions":983,"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":[313,969,1625],"clock_positions":[313,969,1625],"native_values":[23,373,587],"rotation_degrees":57.25609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[23,373,587],"beta":{"interval_sums":[326410,329844,309052],"interval_residues":[54,539,390],"display_cycle":[54,539,390],"intervals":[{"from_index":313,"to_index":969,"sum":326410,"residue":54},{"from_index":969,"to_index":1625,"sum":329844,"residue":539},{"from_index":1625,"to_index":313,"sum":309052,"residue":390}],"minimal_cycle":[54,539,390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[313,969],"circle_positions":983,"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":[314,970,1626],"clock_positions":[314,970,1626],"native_values":[300,377,306],"rotation_degrees":57.4390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,377,306],"beta":{"interval_sums":[326483,330054,308769],"interval_residues":[127,749,107],"display_cycle":[127,749,107],"intervals":[{"from_index":314,"to_index":970,"sum":326483,"residue":127},{"from_index":970,"to_index":1626,"sum":330054,"residue":749},{"from_index":1626,"to_index":314,"sum":308769,"residue":107}],"minimal_cycle":[127,749,107],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":127,"start_interval_clock_positions":[314,970],"circle_positions":983,"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":[315,971,1627],"clock_positions":[315,971,1627],"native_values":[323,750,893],"rotation_degrees":57.6219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,750,893],"beta":{"interval_sums":[326537,329610,308176],"interval_residues":[181,305,497],"display_cycle":[181,305,497],"intervals":[{"from_index":315,"to_index":971,"sum":326537,"residue":181},{"from_index":971,"to_index":1627,"sum":329610,"residue":305},{"from_index":1627,"to_index":315,"sum":308176,"residue":497}],"minimal_cycle":[181,305,497],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":181,"start_interval_clock_positions":[315,971],"circle_positions":983,"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":[316,972,1628],"clock_positions":[316,972,1628],"native_values":[623,144,216],"rotation_degrees":57.80487804878049,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[623,144,216],"beta":{"interval_sums":[326664,330359,308283],"interval_residues":[308,71,604],"display_cycle":[308,71,604],"intervals":[{"from_index":316,"to_index":972,"sum":326664,"residue":308},{"from_index":972,"to_index":1628,"sum":330359,"residue":71},{"from_index":1628,"to_index":316,"sum":308283,"residue":604}],"minimal_cycle":[308,71,604],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":308,"start_interval_clock_positions":[316,972],"circle_positions":983,"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":[317,973,1629],"clock_positions":[317,973,1629],"native_values":[946,894,126],"rotation_degrees":57.98780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[946,894,126],"beta":{"interval_sums":[325862,329681,308780],"interval_residues":[489,376,118],"display_cycle":[489,376,118],"intervals":[{"from_index":317,"to_index":973,"sum":325862,"residue":489},{"from_index":973,"to_index":1629,"sum":329681,"residue":376},{"from_index":1629,"to_index":317,"sum":308780,"residue":118}],"minimal_cycle":[489,376,118],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":489,"start_interval_clock_positions":[317,973],"circle_positions":983,"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":[318,974,1630],"clock_positions":[318,974,1630],"native_values":[586,55,342],"rotation_degrees":58.170731707317074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[586,55,342],"beta":{"interval_sums":[326170,329752,309384],"interval_residues":[797,447,722],"display_cycle":[797,447,722],"intervals":[{"from_index":318,"to_index":974,"sum":326170,"residue":797},{"from_index":974,"to_index":1630,"sum":329752,"residue":447},{"from_index":1630,"to_index":318,"sum":309384,"residue":722}],"minimal_cycle":[797,447,722],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":797,"start_interval_clock_positions":[318,974],"circle_positions":983,"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":[319,975,1631],"clock_positions":[319,975,1631],"native_values":[549,949,468],"rotation_degrees":58.353658536585364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[549,949,468],"beta":{"interval_sums":[325676,329145,309502],"interval_residues":[303,823,840],"display_cycle":[303,823,840],"intervals":[{"from_index":319,"to_index":975,"sum":325676,"residue":303},{"from_index":975,"to_index":1631,"sum":329145,"residue":823},{"from_index":1631,"to_index":319,"sum":309502,"residue":840}],"minimal_cycle":[303,823,840],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":303,"start_interval_clock_positions":[319,975],"circle_positions":983,"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":[320,976,1632],"clock_positions":[320,976,1632],"native_values":[152,21,810],"rotation_degrees":58.53658536585366,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[152,21,810],"beta":{"interval_sums":[326473,329592,309241],"interval_residues":[117,287,579],"display_cycle":[117,287,579],"intervals":[{"from_index":320,"to_index":976,"sum":326473,"residue":117},{"from_index":976,"to_index":1632,"sum":329592,"residue":287},{"from_index":1632,"to_index":320,"sum":309241,"residue":579}],"minimal_cycle":[117,287,579],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":117,"start_interval_clock_positions":[320,976],"circle_positions":983,"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":[321,977,1633],"clock_positions":[321,977,1633],"native_values":[701,970,295],"rotation_degrees":58.71951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[701,970,295],"beta":{"interval_sums":[325793,329432,309098],"interval_residues":[420,127,436],"display_cycle":[420,127,436],"intervals":[{"from_index":321,"to_index":977,"sum":325793,"residue":420},{"from_index":977,"to_index":1633,"sum":329432,"residue":127},{"from_index":1633,"to_index":321,"sum":309098,"residue":436}],"minimal_cycle":[420,127,436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":420,"start_interval_clock_positions":[321,977],"circle_positions":983,"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":[322,978,1634],"clock_positions":[322,978,1634],"native_values":[853,8,122],"rotation_degrees":58.90243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[853,8,122],"beta":{"interval_sums":[325910,329719,309677],"interval_residues":[537,414,32],"display_cycle":[537,414,32],"intervals":[{"from_index":322,"to_index":978,"sum":325910,"residue":537},{"from_index":978,"to_index":1634,"sum":329719,"residue":414},{"from_index":1634,"to_index":322,"sum":309677,"residue":32}],"minimal_cycle":[537,414,32],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":537,"start_interval_clock_positions":[322,978],"circle_positions":983,"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":[323,979,1635],"clock_positions":[323,979,1635],"native_values":[571,978,417],"rotation_degrees":59.08536585365854,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[571,978,417],"beta":{"interval_sums":[325347,328863,310113],"interval_residues":[957,541,468],"display_cycle":[957,541,468],"intervals":[{"from_index":323,"to_index":979,"sum":325347,"residue":957},{"from_index":979,"to_index":1635,"sum":328863,"residue":541},{"from_index":1635,"to_index":323,"sum":310113,"residue":468}],"minimal_cycle":[957,541,468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":957,"start_interval_clock_positions":[323,979],"circle_positions":983,"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":[324,980,1636],"clock_positions":[324,980,1636],"native_values":[441,3,539],"rotation_degrees":59.26829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,3,539],"beta":{"interval_sums":[325884,329277,310145],"interval_residues":[511,955,500],"display_cycle":[511,955,500],"intervals":[{"from_index":324,"to_index":980,"sum":325884,"residue":511},{"from_index":980,"to_index":1636,"sum":329277,"residue":955},{"from_index":1636,"to_index":324,"sum":310145,"residue":500}],"minimal_cycle":[511,955,500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":511,"start_interval_clock_positions":[324,980],"circle_positions":983,"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":[325,981,1637],"clock_positions":[325,981,1637],"native_values":[29,981,956],"rotation_degrees":59.451219512195124,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,981,956],"beta":{"interval_sums":[325858,328835,309630],"interval_residues":[485,513,968],"display_cycle":[485,513,968],"intervals":[{"from_index":325,"to_index":981,"sum":325858,"residue":485},{"from_index":981,"to_index":1637,"sum":328835,"residue":513},{"from_index":1637,"to_index":325,"sum":309630,"residue":968}],"minimal_cycle":[485,513,968],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":485,"start_interval_clock_positions":[325,981],"circle_positions":983,"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":[326,982,1638],"clock_positions":[326,982,1638],"native_values":[470,1,512],"rotation_degrees":59.63414634146341,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[470,1,512],"beta":{"interval_sums":[326369,329790,309147],"interval_residues":[13,485,485],"display_cycle":[13,485,485],"intervals":[{"from_index":326,"to_index":982,"sum":326369,"residue":13},{"from_index":982,"to_index":1638,"sum":329790,"residue":485},{"from_index":1638,"to_index":326,"sum":309147,"residue":485}],"minimal_cycle":[13,485,485],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":13,"start_interval_clock_positions":[326,982],"circle_positions":983,"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":[327,983,1639],"clock_positions":[327,983,1639],"native_values":[499,982,485],"rotation_degrees":59.81707317073171,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[499,982,485],"beta":{"interval_sums":[325871,329320,309132],"interval_residues":[498,15,470],"display_cycle":[498,15,470],"intervals":[{"from_index":327,"to_index":983,"sum":325871,"residue":498},{"from_index":983,"to_index":1639,"sum":329320,"residue":15},{"from_index":1639,"to_index":327,"sum":309132,"residue":470}],"minimal_cycle":[498,15,470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[327,983],"circle_positions":983,"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":[328,984,1640],"clock_positions":[328,984,1640],"native_values":[969,983,14],"rotation_degrees":60.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[969,983,14],"beta":{"interval_sums":[325884,329805,309617],"interval_residues":[511,500,955],"display_cycle":[511,500,955],"intervals":[{"from_index":328,"to_index":984,"sum":325884,"residue":511},{"from_index":984,"to_index":1640,"sum":329805,"residue":500},{"from_index":1640,"to_index":328,"sum":309617,"residue":955}],"minimal_cycle":[511,500,955],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":511,"start_interval_clock_positions":[328,984],"circle_positions":983,"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":[329,985,1641],"clock_positions":[329,985,1641],"native_values":[485,982,499],"rotation_degrees":60.18292682926829,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,982,499],"beta":{"interval_sums":[325399,328837,310087],"interval_residues":[26,515,442],"display_cycle":[26,515,442],"intervals":[{"from_index":329,"to_index":985,"sum":325399,"residue":26},{"from_index":985,"to_index":1641,"sum":328837,"residue":515},{"from_index":1641,"to_index":329,"sum":310087,"residue":442}],"minimal_cycle":[26,515,442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[329,985],"circle_positions":983,"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":[330,986,1642],"clock_positions":[330,986,1642],"native_values":[471,982,513],"rotation_degrees":60.36585365853659,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,982,513],"beta":{"interval_sums":[325910,328354,310059],"interval_residues":[537,32,414],"display_cycle":[537,32,414],"intervals":[{"from_index":330,"to_index":986,"sum":325910,"residue":537},{"from_index":986,"to_index":1642,"sum":328354,"residue":32},{"from_index":1642,"to_index":330,"sum":310059,"residue":414}],"minimal_cycle":[537,32,414],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":537,"start_interval_clock_positions":[330,986],"circle_positions":983,"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":[331,987,1643],"clock_positions":[331,987,1643],"native_values":[956,981,29],"rotation_degrees":60.548780487804876,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[956,981,29],"beta":{"interval_sums":[325936,327886,310501],"interval_residues":[563,547,856],"display_cycle":[563,547,856],"intervals":[{"from_index":331,"to_index":987,"sum":325936,"residue":563},{"from_index":987,"to_index":1643,"sum":327886,"residue":547},{"from_index":1643,"to_index":331,"sum":310501,"residue":856}],"minimal_cycle":[563,547,856],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":563,"start_interval_clock_positions":[331,987],"circle_positions":983,"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":[332,988,1644],"clock_positions":[332,988,1644],"native_values":[444,980,542],"rotation_degrees":60.73170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[444,980,542],"beta":{"interval_sums":[326473,326935,310915],"interval_residues":[117,579,287],"display_cycle":[117,579,287],"intervals":[{"from_index":332,"to_index":988,"sum":326473,"residue":117},{"from_index":988,"to_index":1644,"sum":326935,"residue":579},{"from_index":1644,"to_index":332,"sum":310915,"residue":287}],"minimal_cycle":[117,579,287],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":117,"start_interval_clock_positions":[332,988],"circle_positions":983,"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":[333,989,1645],"clock_positions":[333,989,1645],"native_values":[417,978,571],"rotation_degrees":60.91463414634146,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,978,571],"beta":{"interval_sums":[327036,326499,310788],"interval_residues":[680,143,160],"display_cycle":[680,143,160],"intervals":[{"from_index":333,"to_index":989,"sum":327036,"residue":680},{"from_index":989,"to_index":1645,"sum":326499,"residue":143},{"from_index":1645,"to_index":333,"sum":310788,"residue":160}],"minimal_cycle":[680,143,160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":680,"start_interval_clock_positions":[333,989],"circle_positions":983,"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":[334,990,1646],"clock_positions":[334,990,1646],"native_values":[861,975,130],"rotation_degrees":61.09756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[861,975,130],"beta":{"interval_sums":[327153,326095,311075],"interval_residues":[797,722,447],"display_cycle":[797,722,447],"intervals":[{"from_index":334,"to_index":990,"sum":327153,"residue":797},{"from_index":990,"to_index":1646,"sum":326095,"residue":722},{"from_index":1646,"to_index":334,"sum":311075,"residue":447}],"minimal_cycle":[797,722,447],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":797,"start_interval_clock_positions":[334,990],"circle_positions":983,"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":[335,991,1647],"clock_positions":[335,991,1647],"native_values":[295,970,701],"rotation_degrees":61.28048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,970,701],"beta":{"interval_sums":[327833,325255,311235],"interval_residues":[494,865,607],"display_cycle":[494,865,607],"intervals":[{"from_index":335,"to_index":991,"sum":327833,"residue":494},{"from_index":991,"to_index":1647,"sum":325255,"residue":865},{"from_index":1647,"to_index":335,"sum":311235,"residue":607}],"minimal_cycle":[494,865,607],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":494,"start_interval_clock_positions":[335,991],"circle_positions":983,"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":[336,992,1648],"clock_positions":[336,992,1648],"native_values":[173,962,831],"rotation_degrees":61.46341463414634,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,962,831],"beta":{"interval_sums":[328630,324994,310699],"interval_residues":[308,604,71],"display_cycle":[308,604,71],"intervals":[{"from_index":336,"to_index":992,"sum":328630,"residue":308},{"from_index":992,"to_index":1648,"sum":324994,"residue":604},{"from_index":1648,"to_index":336,"sum":310699,"residue":71}],"minimal_cycle":[308,604,71],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":308,"start_interval_clock_positions":[336,992],"circle_positions":983,"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":[337,993,1649],"clock_positions":[337,993,1649],"native_values":[468,949,549],"rotation_degrees":61.646341463414636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[468,949,549],"beta":{"interval_sums":[329124,324876,310323],"interval_residues":[802,486,678],"display_cycle":[802,486,678],"intervals":[{"from_index":337,"to_index":993,"sum":329124,"residue":802},{"from_index":993,"to_index":1649,"sum":324876,"residue":486},{"from_index":1649,"to_index":337,"sum":310323,"residue":678}],"minimal_cycle":[802,486,678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":802,"start_interval_clock_positions":[337,993],"circle_positions":983,"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":[338,994,1650],"clock_positions":[338,994,1650],"native_values":[641,928,397],"rotation_degrees":61.829268292682926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,928,397],"beta":{"interval_sums":[329432,324497,310394],"interval_residues":[127,107,749],"display_cycle":[127,107,749],"intervals":[{"from_index":338,"to_index":994,"sum":329432,"residue":127},{"from_index":994,"to_index":1650,"sum":324497,"residue":107},{"from_index":1650,"to_index":338,"sum":310394,"residue":749}],"minimal_cycle":[127,107,749],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":127,"start_interval_clock_positions":[338,994],"circle_positions":983,"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":[339,995,1651],"clock_positions":[339,995,1651],"native_values":[126,894,946],"rotation_degrees":62.01219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[126,894,946],"beta":{"interval_sums":[330234,324000,310089],"interval_residues":[929,593,444],"display_cycle":[929,593,444],"intervals":[{"from_index":339,"to_index":995,"sum":330234,"residue":929},{"from_index":995,"to_index":1651,"sum":324000,"residue":593},{"from_index":1651,"to_index":339,"sum":310089,"residue":444}],"minimal_cycle":[929,593,444],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":929,"start_interval_clock_positions":[339,995],"circle_positions":983,"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":[340,996,1652],"clock_positions":[340,996,1652],"native_values":[767,839,360],"rotation_degrees":62.19512195121951,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[767,839,360],"beta":{"interval_sums":[330361,324107,309855],"interval_residues":[73,700,210],"display_cycle":[73,700,210],"intervals":[{"from_index":340,"to_index":996,"sum":330361,"residue":73},{"from_index":996,"to_index":1652,"sum":324107,"residue":700},{"from_index":1652,"to_index":340,"sum":309855,"residue":210}],"minimal_cycle":[73,700,210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":73,"start_interval_clock_positions":[340,996],"circle_positions":983,"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":[341,997,1653],"clock_positions":[341,997,1653],"native_values":[893,750,323],"rotation_degrees":62.3780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[893,750,323],"beta":{"interval_sums":[330307,323717,310299],"interval_residues":[19,310,654],"display_cycle":[19,310,654],"intervals":[{"from_index":341,"to_index":997,"sum":330307,"residue":19},{"from_index":997,"to_index":1653,"sum":323717,"residue":310},{"from_index":1653,"to_index":341,"sum":310299,"residue":654}],"minimal_cycle":[19,310,654],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":19,"start_interval_clock_positions":[341,997],"circle_positions":983,"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":[342,998,1654],"clock_positions":[342,998,1654],"native_values":[677,606,683],"rotation_degrees":62.5609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[677,606,683],"beta":{"interval_sums":[330380,323434,310509],"interval_residues":[92,27,864],"display_cycle":[92,27,864],"intervals":[{"from_index":342,"to_index":998,"sum":330380,"residue":92},{"from_index":998,"to_index":1654,"sum":323434,"residue":27},{"from_index":1654,"to_index":342,"sum":310509,"residue":864}],"minimal_cycle":[92,27,864],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[342,998],"circle_positions":983,"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":[343,999,1655],"clock_positions":[343,999,1655],"native_values":[587,373,23],"rotation_degrees":62.74390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,373,23],"beta":{"interval_sums":[330399,323744,311163],"interval_residues":[111,337,535],"display_cycle":[111,337,535],"intervals":[{"from_index":343,"to_index":999,"sum":330399,"residue":111},{"from_index":999,"to_index":1655,"sum":323744,"residue":337},{"from_index":1655,"to_index":343,"sum":311163,"residue":535}],"minimal_cycle":[111,337,535],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":111,"start_interval_clock_positions":[343,999],"circle_positions":983,"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":[344,1000,1656],"clock_positions":[344,1000,1656],"native_values":[281,979,706],"rotation_degrees":62.926829268292686,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[281,979,706],"beta":{"interval_sums":[330491,322788,311044],"interval_residues":[203,364,416],"display_cycle":[203,364,416],"intervals":[{"from_index":344,"to_index":1000,"sum":330491,"residue":203},{"from_index":1000,"to_index":1656,"sum":322788,"residue":364},{"from_index":1656,"to_index":344,"sum":311044,"residue":416}],"minimal_cycle":[203,364,416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":203,"start_interval_clock_positions":[344,1000],"circle_positions":983,"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":[345,1001,1657],"clock_positions":[345,1001,1657],"native_values":[868,369,729],"rotation_degrees":63.109756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[868,369,729],"beta":{"interval_sums":[330602,323125,310596],"interval_residues":[314,701,951],"display_cycle":[314,701,951],"intervals":[{"from_index":345,"to_index":1001,"sum":330602,"residue":314},{"from_index":1001,"to_index":1657,"sum":323125,"residue":701},{"from_index":1657,"to_index":345,"sum":310596,"residue":951}],"minimal_cycle":[314,701,951],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":314,"start_interval_clock_positions":[345,1001],"circle_positions":983,"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":[346,1002,1658],"clock_positions":[346,1002,1658],"native_values":[166,365,452],"rotation_degrees":63.292682926829265,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[166,365,452],"beta":{"interval_sums":[330805,323489,311012],"interval_residues":[517,82,384],"display_cycle":[517,82,384],"intervals":[{"from_index":346,"to_index":1002,"sum":330805,"residue":517},{"from_index":1002,"to_index":1658,"sum":323489,"residue":82},{"from_index":1658,"to_index":346,"sum":311012,"residue":384}],"minimal_cycle":[517,82,384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":517,"start_interval_clock_positions":[346,1002],"circle_positions":983,"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":[347,1003,1659],"clock_positions":[347,1003,1659],"native_values":[51,734,198],"rotation_degrees":63.47560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,734,198],"beta":{"interval_sums":[331119,323207,310980],"interval_residues":[831,783,352],"display_cycle":[831,783,352],"intervals":[{"from_index":347,"to_index":1003,"sum":331119,"residue":831},{"from_index":1003,"to_index":1659,"sum":323207,"residue":783},{"from_index":1659,"to_index":347,"sum":310980,"residue":352}],"minimal_cycle":[831,783,352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":831,"start_interval_clock_positions":[347,1003],"circle_positions":983,"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":[348,1004,1660],"clock_positions":[348,1004,1660],"native_values":[217,116,650],"rotation_degrees":63.65853658536585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[217,116,650],"beta":{"interval_sums":[331636,323289,310381],"interval_residues":[365,865,736],"display_cycle":[365,865,736],"intervals":[{"from_index":348,"to_index":1004,"sum":331636,"residue":365},{"from_index":1004,"to_index":1660,"sum":323289,"residue":865},{"from_index":1660,"to_index":348,"sum":310381,"residue":736}],"minimal_cycle":[365,865,736],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":365,"start_interval_clock_positions":[348,1004],"circle_positions":983,"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":[349,1005,1661],"clock_positions":[349,1005,1661],"native_values":[268,850,848],"rotation_degrees":63.84146341463415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[268,850,848],"beta":{"interval_sums":[331484,323089,309750],"interval_residues":[213,665,105],"display_cycle":[213,665,105],"intervals":[{"from_index":349,"to_index":1005,"sum":331484,"residue":213},{"from_index":1005,"to_index":1661,"sum":323089,"residue":665},{"from_index":1661,"to_index":349,"sum":309750,"residue":105}],"minimal_cycle":[213,665,105],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":213,"start_interval_clock_positions":[349,1005],"circle_positions":983,"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":[350,1006,1662],"clock_positions":[350,1006,1662],"native_values":[485,966,515],"rotation_degrees":64.02439024390245,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,966,515],"beta":{"interval_sums":[331849,322971,309503],"interval_residues":[578,547,841],"display_cycle":[578,547,841],"intervals":[{"from_index":350,"to_index":1006,"sum":331849,"residue":578},{"from_index":1006,"to_index":1662,"sum":322971,"residue":547},{"from_index":1662,"to_index":350,"sum":309503,"residue":841}],"minimal_cycle":[578,547,841],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[350,1006],"circle_positions":983,"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":[351,1007,1663],"clock_positions":[351,1007,1663],"native_values":[753,833,380],"rotation_degrees":64.20731707317073,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[753,833,380],"beta":{"interval_sums":[332062,322653,309608],"interval_residues":[791,229,946],"display_cycle":[791,229,946],"intervals":[{"from_index":351,"to_index":1007,"sum":332062,"residue":791},{"from_index":1007,"to_index":1663,"sum":322653,"residue":229},{"from_index":1663,"to_index":351,"sum":309608,"residue":946}],"minimal_cycle":[791,229,946],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":791,"start_interval_clock_positions":[351,1007],"circle_positions":983,"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":[352,1008,1664],"clock_positions":[352,1008,1664],"native_values":[255,816,895],"rotation_degrees":64.39024390243902,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[255,816,895],"beta":{"interval_sums":[332640,322217,309466],"interval_residues":[386,776,804],"display_cycle":[386,776,804],"intervals":[{"from_index":352,"to_index":1008,"sum":332640,"residue":386},{"from_index":1008,"to_index":1664,"sum":322217,"residue":776},{"from_index":1664,"to_index":352,"sum":309466,"residue":804}],"minimal_cycle":[386,776,804],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":386,"start_interval_clock_positions":[352,1008],"circle_positions":983,"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":[353,1009,1665],"clock_positions":[353,1009,1665],"native_values":[25,666,292],"rotation_degrees":64.57317073170732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[25,666,292],"beta":{"interval_sums":[333431,322446,309429],"interval_residues":[194,22,767],"display_cycle":[194,22,767],"intervals":[{"from_index":353,"to_index":1009,"sum":333431,"residue":194},{"from_index":1009,"to_index":1665,"sum":322446,"residue":22},{"from_index":1665,"to_index":353,"sum":309429,"residue":767}],"minimal_cycle":[194,22,767],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[353,1009],"circle_positions":983,"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":[354,1010,1666],"clock_positions":[354,1010,1666],"native_values":[280,499,204],"rotation_degrees":64.7560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[280,499,204],"beta":{"interval_sums":[333817,322239,309250],"interval_residues":[580,798,588],"display_cycle":[580,798,588],"intervals":[{"from_index":354,"to_index":1010,"sum":333817,"residue":580},{"from_index":1010,"to_index":1666,"sum":322239,"residue":798},{"from_index":1666,"to_index":354,"sum":309250,"residue":588}],"minimal_cycle":[580,798,588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":580,"start_interval_clock_positions":[354,1010],"circle_positions":983,"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":[355,1011,1667],"clock_positions":[355,1011,1667],"native_values":[305,182,496],"rotation_degrees":64.9390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,182,496],"beta":{"interval_sums":[334011,322261,309034],"interval_residues":[774,820,372],"display_cycle":[774,820,372],"intervals":[{"from_index":355,"to_index":1011,"sum":334011,"residue":774},{"from_index":1011,"to_index":1667,"sum":322261,"residue":820},{"from_index":1667,"to_index":355,"sum":309034,"residue":372}],"minimal_cycle":[774,820,372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":774,"start_interval_clock_positions":[355,1011],"circle_positions":983,"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":[356,1012,1668],"clock_positions":[356,1012,1668],"native_values":[585,681,700],"rotation_degrees":65.1219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[585,681,700],"beta":{"interval_sums":[333608,322076,308639],"interval_residues":[371,635,960],"display_cycle":[371,635,960],"intervals":[{"from_index":356,"to_index":1012,"sum":333608,"residue":371},{"from_index":1012,"to_index":1668,"sum":322076,"residue":635},{"from_index":1668,"to_index":356,"sum":308639,"residue":960}],"minimal_cycle":[371,635,960],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":371,"start_interval_clock_positions":[356,1012],"circle_positions":983,"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":[357,1013,1669],"clock_positions":[357,1013,1669],"native_values":[890,863,213],"rotation_degrees":65.3048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[890,863,213],"beta":{"interval_sums":[333399,321913,309011],"interval_residues":[162,472,349],"display_cycle":[162,472,349],"intervals":[{"from_index":357,"to_index":1013,"sum":333399,"residue":162},{"from_index":1013,"to_index":1669,"sum":321913,"residue":472},{"from_index":1669,"to_index":357,"sum":309011,"residue":349}],"minimal_cycle":[162,472,349],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":162,"start_interval_clock_positions":[357,1013],"circle_positions":983,"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":[358,1014,1670],"clock_positions":[358,1014,1670],"native_values":[492,561,913],"rotation_degrees":65.48780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,561,913],"beta":{"interval_sums":[333770,321565,308988],"interval_residues":[533,124,326],"display_cycle":[533,124,326],"intervals":[{"from_index":358,"to_index":1014,"sum":333770,"residue":533},{"from_index":1014,"to_index":1670,"sum":321565,"residue":124},{"from_index":1670,"to_index":358,"sum":308988,"residue":326}],"minimal_cycle":[533,124,326],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":533,"start_interval_clock_positions":[358,1014],"circle_positions":983,"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":[359,1015,1671],"clock_positions":[359,1015,1671],"native_values":[399,441,143],"rotation_degrees":65.67073170731707,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[399,441,143],"beta":{"interval_sums":[333932,322037,309337],"interval_residues":[695,596,675],"display_cycle":[695,596,675],"intervals":[{"from_index":359,"to_index":1015,"sum":333932,"residue":695},{"from_index":1015,"to_index":1671,"sum":322037,"residue":596},{"from_index":1671,"to_index":359,"sum":309337,"residue":675}],"minimal_cycle":[695,596,675],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":695,"start_interval_clock_positions":[359,1015],"circle_positions":983,"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":[360,1016,1672],"clock_positions":[360,1016,1672],"native_values":[891,19,73],"rotation_degrees":65.85365853658537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[891,19,73],"beta":{"interval_sums":[333482,322161,309663],"interval_residues":[245,720,18],"display_cycle":[245,720,18],"intervals":[{"from_index":360,"to_index":1016,"sum":333482,"residue":245},{"from_index":1016,"to_index":1672,"sum":322161,"residue":720},{"from_index":1672,"to_index":360,"sum":309663,"residue":18}],"minimal_cycle":[245,720,18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":245,"start_interval_clock_positions":[360,1016],"circle_positions":983,"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":[361,1017,1673],"clock_positions":[361,1017,1673],"native_values":[307,460,216],"rotation_degrees":66.03658536585365,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,460,216],"beta":{"interval_sums":[333194,321774,310338],"interval_residues":[940,333,693],"display_cycle":[940,333,693],"intervals":[{"from_index":361,"to_index":1017,"sum":333194,"residue":940},{"from_index":1017,"to_index":1673,"sum":321774,"residue":333},{"from_index":1673,"to_index":361,"sum":310338,"residue":693}],"minimal_cycle":[940,333,693],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":940,"start_interval_clock_positions":[361,1017],"circle_positions":983,"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":[362,1018,1674],"clock_positions":[362,1018,1674],"native_values":[215,479,289],"rotation_degrees":66.21951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[215,479,289],"beta":{"interval_sums":[333439,321511,310356],"interval_residues":[202,70,711],"display_cycle":[202,70,711],"intervals":[{"from_index":362,"to_index":1018,"sum":333439,"residue":202},{"from_index":1018,"to_index":1674,"sum":321511,"residue":70},{"from_index":1674,"to_index":362,"sum":310356,"residue":711}],"minimal_cycle":[202,70,711],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[362,1018],"circle_positions":983,"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":[363,1019,1675],"clock_positions":[363,1019,1675],"native_values":[522,939,505],"rotation_degrees":66.40243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[522,939,505],"beta":{"interval_sums":[333396,320861,310066],"interval_residues":[159,403,421],"display_cycle":[159,403,421],"intervals":[{"from_index":363,"to_index":1019,"sum":333396,"residue":159},{"from_index":1019,"to_index":1675,"sum":320861,"residue":403},{"from_index":1675,"to_index":363,"sum":310066,"residue":421}],"minimal_cycle":[159,403,421],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":159,"start_interval_clock_positions":[363,1019],"circle_positions":983,"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":[364,1020,1676],"clock_positions":[364,1020,1676],"native_values":[737,435,794],"rotation_degrees":66.58536585365853,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[737,435,794],"beta":{"interval_sums":[333598,320931,309794],"interval_residues":[361,473,149],"display_cycle":[361,473,149],"intervals":[{"from_index":364,"to_index":1020,"sum":333598,"residue":361},{"from_index":1020,"to_index":1676,"sum":320931,"residue":473},{"from_index":1676,"to_index":364,"sum":309794,"residue":149}],"minimal_cycle":[361,473,149],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":361,"start_interval_clock_positions":[364,1020],"circle_positions":983,"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":[365,1021,1677],"clock_positions":[365,1021,1677],"native_values":[276,391,316],"rotation_degrees":66.76829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[276,391,316],"beta":{"interval_sums":[333757,321334,310215],"interval_residues":[520,876,570],"display_cycle":[520,876,570],"intervals":[{"from_index":365,"to_index":1021,"sum":333757,"residue":520},{"from_index":1021,"to_index":1677,"sum":321334,"residue":876},{"from_index":1677,"to_index":365,"sum":310215,"residue":570}],"minimal_cycle":[520,876,570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":520,"start_interval_clock_positions":[365,1021],"circle_positions":983,"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":[366,1022,1678],"clock_positions":[366,1022,1678],"native_values":[30,826,127],"rotation_degrees":66.95121951219512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[30,826,127],"beta":{"interval_sums":[334118,320824,310364],"interval_residues":[881,366,719],"display_cycle":[881,366,719],"intervals":[{"from_index":366,"to_index":1022,"sum":334118,"residue":881},{"from_index":1022,"to_index":1678,"sum":320824,"residue":366},{"from_index":1678,"to_index":366,"sum":310364,"residue":719}],"minimal_cycle":[881,366,719],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":881,"start_interval_clock_positions":[366,1022],"circle_positions":983,"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":[367,1023,1679],"clock_positions":[367,1023,1679],"native_values":[306,234,443],"rotation_degrees":67.13414634146342,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[306,234,443],"beta":{"interval_sums":[334638,320717,309951],"interval_residues":[418,259,306],"display_cycle":[418,259,306],"intervals":[{"from_index":367,"to_index":1023,"sum":334638,"residue":418},{"from_index":1023,"to_index":1679,"sum":320717,"residue":259},{"from_index":1679,"to_index":367,"sum":309951,"residue":306}],"minimal_cycle":[418,259,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":418,"start_interval_clock_positions":[367,1023],"circle_positions":983,"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":[368,1024,1680],"clock_positions":[368,1024,1680],"native_values":[336,77,570],"rotation_degrees":67.3170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[336,77,570],"beta":{"interval_sums":[334536,321083,309687],"interval_residues":[316,625,42],"display_cycle":[316,625,42],"intervals":[{"from_index":368,"to_index":1024,"sum":334536,"residue":316},{"from_index":1024,"to_index":1680,"sum":321083,"residue":625},{"from_index":1680,"to_index":368,"sum":309687,"residue":42}],"minimal_cycle":[316,625,42],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":316,"start_interval_clock_positions":[368,1024],"circle_positions":983,"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":[369,1025,1681],"clock_positions":[369,1025,1681],"native_values":[642,311,30],"rotation_degrees":67.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[642,311,30],"beta":{"interval_sums":[333971,321342,309993],"interval_residues":[734,884,348],"display_cycle":[734,884,348],"intervals":[{"from_index":369,"to_index":1025,"sum":333971,"residue":734},{"from_index":1025,"to_index":1681,"sum":321342,"residue":884},{"from_index":1681,"to_index":369,"sum":309993,"residue":348}],"minimal_cycle":[734,884,348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":734,"start_interval_clock_positions":[369,1025],"circle_positions":983,"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":[370,1026,1682],"clock_positions":[370,1026,1682],"native_values":[978,388,600],"rotation_degrees":67.6829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[978,388,600],"beta":{"interval_sums":[333304,320984,310035],"interval_residues":[67,526,390],"display_cycle":[67,526,390],"intervals":[{"from_index":370,"to_index":1026,"sum":333304,"residue":67},{"from_index":1026,"to_index":1682,"sum":320984,"residue":526},{"from_index":1682,"to_index":370,"sum":310035,"residue":390}],"minimal_cycle":[67,526,390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":67,"start_interval_clock_positions":[370,1026],"circle_positions":983,"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":[371,1027,1683],"clock_positions":[371,1027,1683],"native_values":[637,699,630],"rotation_degrees":67.86585365853658,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[637,699,630],"beta":{"interval_sums":[333055,320885,310383],"interval_residues":[801,427,738],"display_cycle":[801,427,738],"intervals":[{"from_index":371,"to_index":1027,"sum":333055,"residue":801},{"from_index":1027,"to_index":1683,"sum":320885,"residue":427},{"from_index":1683,"to_index":371,"sum":310383,"residue":738}],"minimal_cycle":[801,427,738],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":801,"start_interval_clock_positions":[371,1027],"circle_positions":983,"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":[372,1028,1684],"clock_positions":[372,1028,1684],"native_values":[632,104,247],"rotation_degrees":68.04878048780488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[632,104,247],"beta":{"interval_sums":[333122,321411,310773],"interval_residues":[868,953,145],"display_cycle":[868,953,145],"intervals":[{"from_index":372,"to_index":1028,"sum":333122,"residue":868},{"from_index":1028,"to_index":1684,"sum":321411,"residue":953},{"from_index":1684,"to_index":372,"sum":310773,"residue":145}],"minimal_cycle":[868,953,145],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":868,"start_interval_clock_positions":[372,1028],"circle_positions":983,"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":[373,1029,1685],"clock_positions":[373,1029,1685],"native_values":[286,803,877],"rotation_degrees":68.23170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[286,803,877],"beta":{"interval_sums":[332940,320855,310528],"interval_residues":[686,397,883],"display_cycle":[686,397,883],"intervals":[{"from_index":373,"to_index":1029,"sum":332940,"residue":686},{"from_index":1029,"to_index":1685,"sum":320855,"residue":397},{"from_index":1685,"to_index":373,"sum":310528,"residue":883}],"minimal_cycle":[686,397,883],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":686,"start_interval_clock_positions":[373,1029],"circle_positions":983,"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":[374,1030,1686],"clock_positions":[374,1030,1686],"native_values":[918,907,141],"rotation_degrees":68.41463414634147,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[918,907,141],"beta":{"interval_sums":[332825,320825,310673],"interval_residues":[571,367,45],"display_cycle":[571,367,45],"intervals":[{"from_index":374,"to_index":1030,"sum":332825,"residue":571},{"from_index":1030,"to_index":1686,"sum":320825,"residue":367},{"from_index":1686,"to_index":374,"sum":310673,"residue":45}],"minimal_cycle":[571,367,45],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":571,"start_interval_clock_positions":[374,1030],"circle_positions":983,"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":[375,1031,1687],"clock_positions":[375,1031,1687],"native_values":[221,727,35],"rotation_degrees":68.59756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,727,35],"beta":{"interval_sums":[333511,320239,311556],"interval_residues":[274,764,928],"display_cycle":[274,764,928],"intervals":[{"from_index":375,"to_index":1031,"sum":333511,"residue":274},{"from_index":1031,"to_index":1687,"sum":320239,"residue":764},{"from_index":1687,"to_index":375,"sum":311556,"residue":928}],"minimal_cycle":[274,764,928],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":274,"start_interval_clock_positions":[375,1031],"circle_positions":983,"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":[376,1032,1688],"clock_positions":[376,1032,1688],"native_values":[156,651,176],"rotation_degrees":68.78048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[156,651,176],"beta":{"interval_sums":[334082,319623,311601],"interval_residues":[845,148,973],"display_cycle":[845,148,973],"intervals":[{"from_index":376,"to_index":1032,"sum":334082,"residue":845},{"from_index":1032,"to_index":1688,"sum":319623,"residue":148},{"from_index":1688,"to_index":376,"sum":311601,"residue":973}],"minimal_cycle":[845,148,973],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":845,"start_interval_clock_positions":[376,1032],"circle_positions":983,"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":[377,1033,1689],"clock_positions":[377,1033,1689],"native_values":[377,395,211],"rotation_degrees":68.96341463414635,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,395,211],"beta":{"interval_sums":[334356,319404,311546],"interval_residues":[136,912,918],"display_cycle":[136,912,918],"intervals":[{"from_index":377,"to_index":1033,"sum":334356,"residue":136},{"from_index":1033,"to_index":1689,"sum":319404,"residue":912},{"from_index":1689,"to_index":377,"sum":311546,"residue":918}],"minimal_cycle":[136,912,918],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":136,"start_interval_clock_positions":[377,1033],"circle_positions":983,"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":[378,1034,1690],"clock_positions":[378,1034,1690],"native_values":[533,63,387],"rotation_degrees":69.14634146341463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[533,63,387],"beta":{"interval_sums":[334218,319552,311536],"interval_residues":[981,77,908],"display_cycle":[981,77,908],"intervals":[{"from_index":378,"to_index":1034,"sum":334218,"residue":981},{"from_index":1034,"to_index":1690,"sum":319552,"residue":77},{"from_index":1690,"to_index":378,"sum":311536,"residue":908}],"minimal_cycle":[981,77,908],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":981,"start_interval_clock_positions":[378,1034],"circle_positions":983,"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":[379,1035,1691],"clock_positions":[379,1035,1691],"native_values":[910,458,598],"rotation_degrees":69.32926829268293,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[910,458,598],"beta":{"interval_sums":[333371,319481,311471],"interval_residues":[134,6,843],"display_cycle":[134,6,843],"intervals":[{"from_index":379,"to_index":1035,"sum":333371,"residue":134},{"from_index":1035,"to_index":1691,"sum":319481,"residue":6},{"from_index":1691,"to_index":379,"sum":311471,"residue":843}],"minimal_cycle":[134,6,843],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[379,1035],"circle_positions":983,"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":[380,1036,1692],"clock_positions":[380,1036,1692],"native_values":[460,521,2],"rotation_degrees":69.51219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[460,521,2],"beta":{"interval_sums":[333369,319558,312379],"interval_residues":[132,83,768],"display_cycle":[132,83,768],"intervals":[{"from_index":380,"to_index":1036,"sum":333369,"residue":132},{"from_index":1036,"to_index":1692,"sum":319558,"residue":83},{"from_index":1692,"to_index":380,"sum":312379,"residue":768}],"minimal_cycle":[132,83,768],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[380,1036],"circle_positions":983,"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":[381,1037,1693],"clock_positions":[381,1037,1693],"native_values":[387,979,600],"rotation_degrees":69.6951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[387,979,600],"beta":{"interval_sums":[333503,318581,312239],"interval_residues":[266,89,628],"display_cycle":[266,89,628],"intervals":[{"from_index":381,"to_index":1037,"sum":333503,"residue":266},{"from_index":1037,"to_index":1693,"sum":318581,"residue":89},{"from_index":1693,"to_index":381,"sum":312239,"residue":628}],"minimal_cycle":[266,89,628],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[381,1037],"circle_positions":983,"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":[382,1038,1694],"clock_positions":[382,1038,1694],"native_values":[847,517,602],"rotation_degrees":69.8780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[847,517,602],"beta":{"interval_sums":[333635,318664,312024],"interval_residues":[398,172,413],"display_cycle":[398,172,413],"intervals":[{"from_index":382,"to_index":1038,"sum":333635,"residue":398},{"from_index":1038,"to_index":1694,"sum":318664,"residue":172},{"from_index":1694,"to_index":382,"sum":312024,"residue":413}],"minimal_cycle":[398,172,413],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":398,"start_interval_clock_positions":[382,1038],"circle_positions":983,"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":[383,1039,1695],"clock_positions":[383,1039,1695],"native_values":[251,513,219],"rotation_degrees":70.0609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[251,513,219],"beta":{"interval_sums":[333901,318753,312652],"interval_residues":[664,261,58],"display_cycle":[664,261,58],"intervals":[{"from_index":383,"to_index":1039,"sum":333901,"residue":664},{"from_index":1039,"to_index":1695,"sum":318753,"residue":261},{"from_index":1695,"to_index":383,"sum":312652,"residue":58}],"minimal_cycle":[664,261,58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":664,"start_interval_clock_positions":[383,1039],"circle_positions":983,"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":[384,1040,1696],"clock_positions":[384,1040,1696],"native_values":[115,47,821],"rotation_degrees":70.2439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,47,821],"beta":{"interval_sums":[334299,318925,312082],"interval_residues":[79,433,471],"display_cycle":[79,433,471],"intervals":[{"from_index":384,"to_index":1040,"sum":334299,"residue":79},{"from_index":1040,"to_index":1696,"sum":318925,"residue":433},{"from_index":1696,"to_index":384,"sum":312082,"residue":471}],"minimal_cycle":[79,433,471],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":79,"start_interval_clock_positions":[384,1040],"circle_positions":983,"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":[385,1041,1697],"clock_positions":[385,1041,1697],"native_values":[366,560,57],"rotation_degrees":70.42682926829268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[366,560,57],"beta":{"interval_sums":[333980,319186,312140],"interval_residues":[743,694,529],"display_cycle":[743,694,529],"intervals":[{"from_index":385,"to_index":1041,"sum":333980,"residue":743},{"from_index":1041,"to_index":1697,"sum":319186,"residue":694},{"from_index":1697,"to_index":385,"sum":312140,"residue":529}],"minimal_cycle":[743,694,529],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":743,"start_interval_clock_positions":[385,1041],"circle_positions":983,"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":[386,1042,1698],"clock_positions":[386,1042,1698],"native_values":[481,607,878],"rotation_degrees":70.60975609756098,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[481,607,878],"beta":{"interval_sums":[334059,318636,311628],"interval_residues":[822,144,17],"display_cycle":[822,144,17],"intervals":[{"from_index":386,"to_index":1042,"sum":334059,"residue":822},{"from_index":1042,"to_index":1698,"sum":318636,"residue":144},{"from_index":1698,"to_index":386,"sum":311628,"residue":17}],"minimal_cycle":[822,144,17],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":822,"start_interval_clock_positions":[386,1042],"circle_positions":983,"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":[387,1043,1699],"clock_positions":[387,1043,1699],"native_values":[847,184,935],"rotation_degrees":70.79268292682927,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[847,184,935],"beta":{"interval_sums":[333819,319330,311174],"interval_residues":[582,838,546],"display_cycle":[582,838,546],"intervals":[{"from_index":387,"to_index":1043,"sum":333819,"residue":582},{"from_index":1043,"to_index":1699,"sum":319330,"residue":838},{"from_index":1699,"to_index":387,"sum":311174,"residue":546}],"minimal_cycle":[582,838,546],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":582,"start_interval_clock_positions":[387,1043],"circle_positions":983,"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":[388,1044,1700],"clock_positions":[388,1044,1700],"native_values":[345,791,830],"rotation_degrees":70.97560975609755,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,791,830],"beta":{"interval_sums":[333658,319474,311191],"interval_residues":[421,982,563],"display_cycle":[421,982,563],"intervals":[{"from_index":388,"to_index":1044,"sum":333658,"residue":421},{"from_index":1044,"to_index":1700,"sum":319474,"residue":982},{"from_index":1700,"to_index":388,"sum":311191,"residue":563}],"minimal_cycle":[421,982,563],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":421,"start_interval_clock_positions":[388,1044],"circle_positions":983,"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":[389,1045,1701],"clock_positions":[389,1045,1701],"native_values":[209,975,782],"rotation_degrees":71.15853658536585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,975,782],"beta":{"interval_sums":[334240,319329,310754],"interval_residues":[20,837,126],"display_cycle":[20,837,126],"intervals":[{"from_index":389,"to_index":1045,"sum":334240,"residue":20},{"from_index":1045,"to_index":1701,"sum":319329,"residue":837},{"from_index":1701,"to_index":389,"sum":310754,"residue":126}],"minimal_cycle":[20,837,126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":20,"start_interval_clock_positions":[389,1045],"circle_positions":983,"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":[390,1046,1702],"clock_positions":[390,1046,1702],"native_values":[554,783,629],"rotation_degrees":71.34146341463415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[554,783,629],"beta":{"interval_sums":[334661,319328,310334],"interval_residues":[441,836,689],"display_cycle":[441,836,689],"intervals":[{"from_index":390,"to_index":1046,"sum":334661,"residue":441},{"from_index":1046,"to_index":1702,"sum":319328,"residue":836},{"from_index":1702,"to_index":390,"sum":310334,"residue":689}],"minimal_cycle":[441,836,689],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":441,"start_interval_clock_positions":[390,1046],"circle_positions":983,"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":[391,1047,1703],"clock_positions":[391,1047,1703],"native_values":[763,775,428],"rotation_degrees":71.52439024390245,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[763,775,428],"beta":{"interval_sums":[334681,319182,310460],"interval_residues":[461,690,815],"display_cycle":[461,690,815],"intervals":[{"from_index":391,"to_index":1047,"sum":334681,"residue":461},{"from_index":1047,"to_index":1703,"sum":319182,"residue":690},{"from_index":1703,"to_index":391,"sum":310460,"residue":815}],"minimal_cycle":[461,690,815],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":461,"start_interval_clock_positions":[391,1047],"circle_positions":983,"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":[392,1048,1704],"clock_positions":[392,1048,1704],"native_values":[334,575,74],"rotation_degrees":71.70731707317073,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[334,575,74],"beta":{"interval_sums":[335122,319035,311149],"interval_residues":[902,543,521],"display_cycle":[902,543,521],"intervals":[{"from_index":392,"to_index":1048,"sum":335122,"residue":902},{"from_index":1048,"to_index":1704,"sum":319035,"residue":543},{"from_index":1704,"to_index":392,"sum":311149,"residue":521}],"minimal_cycle":[902,543,521],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":902,"start_interval_clock_positions":[392,1048],"circle_positions":983,"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":[393,1049,1705],"clock_positions":[393,1049,1705],"native_values":[114,367,502],"rotation_degrees":71.89024390243902,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[114,367,502],"beta":{"interval_sums":[335583,318742,310981],"interval_residues":[380,250,353],"display_cycle":[380,250,353],"intervals":[{"from_index":393,"to_index":1049,"sum":335583,"residue":380},{"from_index":1049,"to_index":1705,"sum":318742,"residue":250},{"from_index":1705,"to_index":393,"sum":310981,"residue":353}],"minimal_cycle":[380,250,353],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":380,"start_interval_clock_positions":[393,1049],"circle_positions":983,"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":[394,1050,1706],"clock_positions":[394,1050,1706],"native_values":[448,942,576],"rotation_degrees":72.07317073170732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[448,942,576],"beta":{"interval_sums":[335502,318302,310519],"interval_residues":[299,793,874],"display_cycle":[299,793,874],"intervals":[{"from_index":394,"to_index":1050,"sum":335502,"residue":299},{"from_index":1050,"to_index":1706,"sum":318302,"residue":793},{"from_index":1706,"to_index":394,"sum":310519,"residue":874}],"minimal_cycle":[299,793,874],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":299,"start_interval_clock_positions":[394,1050],"circle_positions":983,"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":[395,1051,1707],"clock_positions":[395,1051,1707],"native_values":[562,326,95],"rotation_degrees":72.2560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[562,326,95],"beta":{"interval_sums":[335882,318552,310872],"interval_residues":[679,60,244],"display_cycle":[679,60,244],"intervals":[{"from_index":395,"to_index":1051,"sum":335882,"residue":679},{"from_index":1051,"to_index":1707,"sum":318552,"residue":60},{"from_index":1707,"to_index":395,"sum":310872,"residue":244}],"minimal_cycle":[679,60,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":679,"start_interval_clock_positions":[395,1051],"circle_positions":983,"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":[396,1052,1708],"clock_positions":[396,1052,1708],"native_values":[27,285,671],"rotation_degrees":72.4390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,285,671],"beta":{"interval_sums":[336181,318362,310763],"interval_residues":[978,853,135],"display_cycle":[978,853,135],"intervals":[{"from_index":396,"to_index":1052,"sum":336181,"residue":978},{"from_index":1052,"to_index":1708,"sum":318362,"residue":853},{"from_index":1708,"to_index":396,"sum":310763,"residue":135}],"minimal_cycle":[978,853,135],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":978,"start_interval_clock_positions":[396,1052],"circle_positions":983,"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":[397,1053,1709],"clock_positions":[397,1053,1709],"native_values":[589,611,766],"rotation_degrees":72.6219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[589,611,766],"beta":{"interval_sums":[335877,318422,310024],"interval_residues":[674,913,379],"display_cycle":[674,913,379],"intervals":[{"from_index":397,"to_index":1053,"sum":335877,"residue":674},{"from_index":1053,"to_index":1709,"sum":318422,"residue":913},{"from_index":1709,"to_index":397,"sum":310024,"residue":379}],"minimal_cycle":[674,913,379],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":674,"start_interval_clock_positions":[397,1053],"circle_positions":983,"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":[398,1054,1710],"clock_positions":[398,1054,1710],"native_values":[616,896,454],"rotation_degrees":72.8048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[616,896,454],"beta":{"interval_sums":[335872,318292,310159],"interval_residues":[669,783,514],"display_cycle":[669,783,514],"intervals":[{"from_index":398,"to_index":1054,"sum":335872,"residue":669},{"from_index":1054,"to_index":1710,"sum":318292,"residue":783},{"from_index":1710,"to_index":398,"sum":310159,"residue":514}],"minimal_cycle":[669,783,514],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":669,"start_interval_clock_positions":[398,1054],"circle_positions":983,"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":[399,1055,1711],"clock_positions":[399,1055,1711],"native_values":[222,524,237],"rotation_degrees":72.98780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[222,524,237],"beta":{"interval_sums":[336546,318222,310538],"interval_residues":[360,713,893],"display_cycle":[360,713,893],"intervals":[{"from_index":399,"to_index":1055,"sum":336546,"residue":360},{"from_index":1055,"to_index":1711,"sum":318222,"residue":713},{"from_index":1711,"to_index":399,"sum":310538,"residue":893}],"minimal_cycle":[360,713,893],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":360,"start_interval_clock_positions":[399,1055],"circle_positions":983,"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":[400,1056,1712],"clock_positions":[400,1056,1712],"native_values":[838,437,691],"rotation_degrees":73.17073170731707,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[838,437,691],"beta":{"interval_sums":[336232,318022,310069],"interval_residues":[46,513,424],"display_cycle":[46,513,424],"intervals":[{"from_index":400,"to_index":1056,"sum":336232,"residue":46},{"from_index":1056,"to_index":1712,"sum":318022,"residue":513},{"from_index":1712,"to_index":400,"sum":310069,"residue":424}],"minimal_cycle":[46,513,424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[400,1056],"circle_positions":983,"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":[401,1057,1713],"clock_positions":[401,1057,1713],"native_values":[77,961,928],"rotation_degrees":73.35365853658537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,961,928],"beta":{"interval_sums":[336592,317752,309979],"interval_residues":[406,243,334],"display_cycle":[406,243,334],"intervals":[{"from_index":401,"to_index":1057,"sum":336592,"residue":406},{"from_index":1057,"to_index":1713,"sum":317752,"residue":243},{"from_index":1713,"to_index":401,"sum":309979,"residue":334}],"minimal_cycle":[406,243,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[401,1057],"circle_positions":983,"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":[402,1058,1714],"clock_positions":[402,1058,1714],"native_values":[915,415,636],"rotation_degrees":73.53658536585365,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[915,415,636],"beta":{"interval_sums":[336638,318265,309420],"interval_residues":[452,756,758],"display_cycle":[452,756,758],"intervals":[{"from_index":402,"to_index":1058,"sum":336638,"residue":452},{"from_index":1058,"to_index":1714,"sum":318265,"residue":756},{"from_index":1714,"to_index":402,"sum":309420,"residue":758}],"minimal_cycle":[452,756,758],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[402,1058],"circle_positions":983,"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":[403,1059,1715],"clock_positions":[403,1059,1715],"native_values":[9,393,581],"rotation_degrees":73.71951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,393,581],"beta":{"interval_sums":[337044,318508,309754],"interval_residues":[858,16,109],"display_cycle":[858,16,109],"intervals":[{"from_index":403,"to_index":1059,"sum":337044,"residue":858},{"from_index":1059,"to_index":1715,"sum":318508,"residue":16},{"from_index":1715,"to_index":403,"sum":309754,"residue":109}],"minimal_cycle":[858,16,109],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":858,"start_interval_clock_positions":[403,1059],"circle_positions":983,"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":[404,1060,1716],"clock_positions":[404,1060,1716],"native_values":[924,808,234],"rotation_degrees":73.90243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[924,808,234],"beta":{"interval_sums":[336513,318281,309529],"interval_residues":[327,772,867],"display_cycle":[327,772,867],"intervals":[{"from_index":404,"to_index":1060,"sum":336513,"residue":327},{"from_index":1060,"to_index":1716,"sum":318281,"residue":772},{"from_index":1716,"to_index":404,"sum":309529,"residue":867}],"minimal_cycle":[327,772,867],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":327,"start_interval_clock_positions":[404,1060],"circle_positions":983,"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":[405,1061,1717],"clock_positions":[405,1061,1717],"native_values":[933,218,815],"rotation_degrees":74.08536585365853,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[933,218,815],"beta":{"interval_sums":[336388,318297,309638],"interval_residues":[202,788,976],"display_cycle":[202,788,976],"intervals":[{"from_index":405,"to_index":1061,"sum":336388,"residue":202},{"from_index":1061,"to_index":1717,"sum":318297,"residue":788},{"from_index":1717,"to_index":405,"sum":309638,"residue":976}],"minimal_cycle":[202,788,976],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[405,1061],"circle_positions":983,"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":[406,1062,1718],"clock_positions":[406,1062,1718],"native_values":[874,43,66],"rotation_degrees":74.26829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[874,43,66],"beta":{"interval_sums":[335732,319069,310505],"interval_residues":[529,577,860],"display_cycle":[529,577,860],"intervals":[{"from_index":406,"to_index":1062,"sum":335732,"residue":529},{"from_index":1062,"to_index":1718,"sum":319069,"residue":577},{"from_index":1718,"to_index":406,"sum":310505,"residue":860}],"minimal_cycle":[529,577,860],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":529,"start_interval_clock_positions":[406,1062],"circle_positions":983,"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":[407,1063,1719],"clock_positions":[407,1063,1719],"native_values":[824,261,881],"rotation_degrees":74.45121951219512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[824,261,881],"beta":{"interval_sums":[334951,318874,310498],"interval_residues":[731,382,853],"display_cycle":[731,382,853],"intervals":[{"from_index":407,"to_index":1063,"sum":334951,"residue":731},{"from_index":1063,"to_index":1719,"sum":318874,"residue":382},{"from_index":1719,"to_index":407,"sum":310498,"residue":853}],"minimal_cycle":[731,382,853],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":731,"start_interval_clock_positions":[407,1063],"circle_positions":983,"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":[408,1064,1720],"clock_positions":[408,1064,1720],"native_values":[715,304,947],"rotation_degrees":74.63414634146342,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[715,304,947],"beta":{"interval_sums":[334497,319451,310375],"interval_residues":[277,959,730],"display_cycle":[277,959,730],"intervals":[{"from_index":408,"to_index":1064,"sum":334497,"residue":277},{"from_index":1064,"to_index":1720,"sum":319451,"residue":959},{"from_index":1720,"to_index":408,"sum":310375,"residue":730}],"minimal_cycle":[277,959,730],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":277,"start_interval_clock_positions":[408,1064],"circle_positions":983,"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":[409,1065,1721],"clock_positions":[409,1065,1721],"native_values":[556,565,845],"rotation_degrees":74.8170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[556,565,845],"beta":{"interval_sums":[334245,319833,310245],"interval_residues":[25,358,600],"display_cycle":[25,358,600],"intervals":[{"from_index":409,"to_index":1065,"sum":334245,"residue":25},{"from_index":1065,"to_index":1721,"sum":319833,"residue":358},{"from_index":1721,"to_index":409,"sum":310245,"residue":600}],"minimal_cycle":[25,358,600],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":25,"start_interval_clock_positions":[409,1065],"circle_positions":983,"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":[410,1066,1722],"clock_positions":[410,1066,1722],"native_values":[288,869,809],"rotation_degrees":75.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[288,869,809],"beta":{"interval_sums":[334522,319809,309992],"interval_residues":[302,334,347],"display_cycle":[302,334,347],"intervals":[{"from_index":410,"to_index":1066,"sum":334522,"residue":302},{"from_index":1066,"to_index":1722,"sum":319809,"residue":334},{"from_index":1722,"to_index":410,"sum":309992,"residue":347}],"minimal_cycle":[302,334,347],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":302,"start_interval_clock_positions":[410,1066],"circle_positions":983,"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":[411,1067,1723],"clock_positions":[411,1067,1723],"native_values":[844,451,671],"rotation_degrees":75.1829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[844,451,671],"beta":{"interval_sums":[334547,320167,309609],"interval_residues":[327,692,947],"display_cycle":[327,692,947],"intervals":[{"from_index":411,"to_index":1067,"sum":334547,"residue":327},{"from_index":1067,"to_index":1723,"sum":320167,"residue":692},{"from_index":1723,"to_index":411,"sum":309609,"residue":947}],"minimal_cycle":[327,692,947],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":327,"start_interval_clock_positions":[411,1067],"circle_positions":983,"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":[412,1068,1724],"clock_positions":[412,1068,1724],"native_values":[149,337,497],"rotation_degrees":75.36585365853658,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,337,497],"beta":{"interval_sums":[334849,320501,309956],"interval_residues":[629,43,311],"display_cycle":[629,43,311],"intervals":[{"from_index":412,"to_index":1068,"sum":334849,"residue":629},{"from_index":1068,"to_index":1724,"sum":320501,"residue":43},{"from_index":1724,"to_index":412,"sum":309956,"residue":311}],"minimal_cycle":[629,43,311],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":629,"start_interval_clock_positions":[412,1068],"circle_positions":983,"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":[413,1069,1725],"clock_positions":[413,1069,1725],"native_values":[10,788,185],"rotation_degrees":75.54878048780488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[10,788,185],"beta":{"interval_sums":[335176,320210,309920],"interval_residues":[956,735,275],"display_cycle":[956,735,275],"intervals":[{"from_index":413,"to_index":1069,"sum":335176,"residue":956},{"from_index":1069,"to_index":1725,"sum":320210,"residue":735},{"from_index":1725,"to_index":413,"sum":309920,"residue":275}],"minimal_cycle":[956,735,275],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":956,"start_interval_clock_positions":[413,1069],"circle_positions":983,"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":[414,1070,1726],"clock_positions":[414,1070,1726],"native_values":[159,142,682],"rotation_degrees":75.73170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[159,142,682],"beta":{"interval_sums":[335805,320253,309248],"interval_residues":[602,778,586],"display_cycle":[602,778,586],"intervals":[{"from_index":414,"to_index":1070,"sum":335805,"residue":602},{"from_index":1070,"to_index":1726,"sum":320253,"residue":778},{"from_index":1726,"to_index":414,"sum":309248,"residue":586}],"minimal_cycle":[602,778,586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":602,"start_interval_clock_positions":[414,1070],"circle_positions":983,"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":[415,1071,1727],"clock_positions":[415,1071,1727],"native_values":[169,930,867],"rotation_degrees":75.91463414634147,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,930,867],"beta":{"interval_sums":[335778,320005,308540],"interval_residues":[575,530,861],"display_cycle":[575,530,861],"intervals":[{"from_index":415,"to_index":1071,"sum":335778,"residue":575},{"from_index":1071,"to_index":1727,"sum":320005,"residue":530},{"from_index":1727,"to_index":415,"sum":308540,"residue":861}],"minimal_cycle":[575,530,861],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":575,"start_interval_clock_positions":[415,1071],"circle_positions":983,"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":[416,1072,1728],"clock_positions":[416,1072,1728],"native_values":[328,89,566],"rotation_degrees":76.09756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[328,89,566],"beta":{"interval_sums":[336380,320783,308143],"interval_residues":[194,325,464],"display_cycle":[194,325,464],"intervals":[{"from_index":416,"to_index":1072,"sum":336380,"residue":194},{"from_index":1072,"to_index":1728,"sum":320783,"residue":325},{"from_index":1728,"to_index":416,"sum":308143,"residue":464}],"minimal_cycle":[194,325,464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[416,1072],"circle_positions":983,"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":[417,1073,1729],"clock_positions":[417,1073,1729],"native_values":[497,36,450],"rotation_degrees":76.28048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[497,36,450],"beta":{"interval_sums":[335972,321313,308021],"interval_residues":[769,855,342],"display_cycle":[769,855,342],"intervals":[{"from_index":417,"to_index":1073,"sum":335972,"residue":769},{"from_index":1073,"to_index":1729,"sum":321313,"residue":855},{"from_index":1729,"to_index":417,"sum":308021,"residue":342}],"minimal_cycle":[769,855,342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":769,"start_interval_clock_positions":[417,1073],"circle_positions":983,"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":[418,1074,1730],"clock_positions":[418,1074,1730],"native_values":[825,125,33],"rotation_degrees":76.46341463414635,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[825,125,33],"beta":{"interval_sums":[335183,321638,308485],"interval_residues":[963,197,806],"display_cycle":[963,197,806],"intervals":[{"from_index":418,"to_index":1074,"sum":335183,"residue":963},{"from_index":1074,"to_index":1730,"sum":321638,"residue":197},{"from_index":1730,"to_index":418,"sum":308485,"residue":806}],"minimal_cycle":[963,197,806],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":963,"start_interval_clock_positions":[418,1074],"circle_positions":983,"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":[419,1075,1731],"clock_positions":[419,1075,1731],"native_values":[339,161,483],"rotation_degrees":76.64634146341463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[339,161,483],"beta":{"interval_sums":[334969,321510,308827],"interval_residues":[749,69,165],"display_cycle":[749,69,165],"intervals":[{"from_index":419,"to_index":1075,"sum":334969,"residue":749},{"from_index":1075,"to_index":1731,"sum":321510,"residue":69},{"from_index":1731,"to_index":419,"sum":308827,"residue":165}],"minimal_cycle":[749,69,165],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":749,"start_interval_clock_positions":[419,1075],"circle_positions":983,"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":[420,1076,1732],"clock_positions":[420,1076,1732],"native_values":[181,286,516],"rotation_degrees":76.82926829268293,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,286,516],"beta":{"interval_sums":[334949,321707,308650],"interval_residues":[729,266,971],"display_cycle":[729,266,971],"intervals":[{"from_index":420,"to_index":1076,"sum":334949,"residue":729},{"from_index":1076,"to_index":1732,"sum":321707,"residue":266},{"from_index":1732,"to_index":420,"sum":308650,"residue":971}],"minimal_cycle":[729,266,971],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":729,"start_interval_clock_positions":[420,1076],"circle_positions":983,"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":[421,1077,1733],"clock_positions":[421,1077,1733],"native_values":[520,447,16],"rotation_degrees":77.01219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[520,447,16],"beta":{"interval_sums":[334715,321776,308815],"interval_residues":[495,335,153],"display_cycle":[495,335,153],"intervals":[{"from_index":421,"to_index":1077,"sum":334715,"residue":495},{"from_index":1077,"to_index":1733,"sum":321776,"residue":335},{"from_index":1733,"to_index":421,"sum":308815,"residue":153}],"minimal_cycle":[495,335,153],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":495,"start_interval_clock_positions":[421,1077],"circle_positions":983,"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":[422,1078,1734],"clock_positions":[422,1078,1734],"native_values":[701,733,532],"rotation_degrees":77.1951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[701,733,532],"beta":{"interval_sums":[334461,321059,308803],"interval_residues":[241,601,141],"display_cycle":[241,601,141],"intervals":[{"from_index":422,"to_index":1078,"sum":334461,"residue":241},{"from_index":1078,"to_index":1734,"sum":321059,"residue":601},{"from_index":1734,"to_index":422,"sum":308803,"residue":141}],"minimal_cycle":[241,601,141],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":241,"start_interval_clock_positions":[422,1078],"circle_positions":983,"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":[423,1079,1735],"clock_positions":[423,1079,1735],"native_values":[238,197,548],"rotation_degrees":77.3780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[238,197,548],"beta":{"interval_sums":[334956,321394,308956],"interval_residues":[736,936,294],"display_cycle":[736,936,294],"intervals":[{"from_index":423,"to_index":1079,"sum":334956,"residue":736},{"from_index":1079,"to_index":1735,"sum":321394,"residue":936},{"from_index":1735,"to_index":423,"sum":308956,"residue":294}],"minimal_cycle":[736,936,294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":736,"start_interval_clock_positions":[423,1079],"circle_positions":983,"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":[424,1080,1736],"clock_positions":[424,1080,1736],"native_values":[939,930,97],"rotation_degrees":77.5609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[939,930,97],"beta":{"interval_sums":[334214,321012,309097],"interval_residues":[977,554,435],"display_cycle":[977,554,435],"intervals":[{"from_index":424,"to_index":1080,"sum":334214,"residue":977},{"from_index":1080,"to_index":1736,"sum":321012,"residue":554},{"from_index":1736,"to_index":424,"sum":309097,"residue":435}],"minimal_cycle":[977,554,435],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":977,"start_interval_clock_positions":[424,1080],"circle_positions":983,"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":[425,1081,1737],"clock_positions":[425,1081,1737],"native_values":[194,144,645],"rotation_degrees":77.7439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[194,144,645],"beta":{"interval_sums":[334950,320965,309391],"interval_residues":[730,507,729],"display_cycle":[730,507,729],"intervals":[{"from_index":425,"to_index":1081,"sum":334950,"residue":730},{"from_index":1081,"to_index":1737,"sum":320965,"residue":507},{"from_index":1737,"to_index":425,"sum":309391,"residue":729}],"minimal_cycle":[730,507,729],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":730,"start_interval_clock_positions":[425,1081],"circle_positions":983,"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":[426,1082,1738],"clock_positions":[426,1082,1738],"native_values":[150,91,742],"rotation_degrees":77.92682926829268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[150,91,742],"beta":{"interval_sums":[334944,321519,308843],"interval_residues":[724,78,181],"display_cycle":[724,78,181],"intervals":[{"from_index":426,"to_index":1082,"sum":334944,"residue":724},{"from_index":1082,"to_index":1738,"sum":321519,"residue":78},{"from_index":1738,"to_index":426,"sum":308843,"residue":181}],"minimal_cycle":[724,78,181],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":724,"start_interval_clock_positions":[426,1082],"circle_positions":983,"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":[427,1083,1739],"clock_positions":[427,1083,1739],"native_values":[344,235,404],"rotation_degrees":78.10975609756098,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[344,235,404],"beta":{"interval_sums":[334691,322026,308589],"interval_residues":[471,585,910],"display_cycle":[471,585,910],"intervals":[{"from_index":427,"to_index":1083,"sum":334691,"residue":471},{"from_index":1083,"to_index":1739,"sum":322026,"residue":585},{"from_index":1739,"to_index":427,"sum":308589,"residue":910}],"minimal_cycle":[471,585,910],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":471,"start_interval_clock_positions":[427,1083],"circle_positions":983,"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":[428,1084,1740],"clock_positions":[428,1084,1740],"native_values":[494,326,163],"rotation_degrees":78.29268292682927,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[494,326,163],"beta":{"interval_sums":[334432,322104,308770],"interval_residues":[212,663,108],"display_cycle":[212,663,108],"intervals":[{"from_index":428,"to_index":1084,"sum":334432,"residue":212},{"from_index":1084,"to_index":1740,"sum":322104,"residue":663},{"from_index":1740,"to_index":428,"sum":308770,"residue":108}],"minimal_cycle":[212,663,108],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":212,"start_interval_clock_positions":[428,1084],"circle_positions":983,"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":[429,1085,1741],"clock_positions":[429,1085,1741],"native_values":[838,561,567],"rotation_degrees":78.47560975609755,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[838,561,567],"beta":{"interval_sums":[333920,321706,308697],"interval_residues":[683,265,35],"display_cycle":[683,265,35],"intervals":[{"from_index":429,"to_index":1085,"sum":333920,"residue":683},{"from_index":1085,"to_index":1741,"sum":321706,"residue":265},{"from_index":1741,"to_index":429,"sum":308697,"residue":35}],"minimal_cycle":[683,265,35],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":683,"start_interval_clock_positions":[429,1085],"circle_positions":983,"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":[430,1086,1742],"clock_positions":[430,1086,1742],"native_values":[349,887,730],"rotation_degrees":78.65853658536585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,887,730],"beta":{"interval_sums":[334132,321386,308805],"interval_residues":[895,928,143],"display_cycle":[895,928,143],"intervals":[{"from_index":430,"to_index":1086,"sum":334132,"residue":895},{"from_index":1086,"to_index":1742,"sum":321386,"residue":928},{"from_index":1742,"to_index":430,"sum":308805,"residue":143}],"minimal_cycle":[895,928,143],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":895,"start_interval_clock_positions":[430,1086],"circle_positions":983,"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":[431,1087,1743],"clock_positions":[431,1087,1743],"native_values":[204,465,314],"rotation_degrees":78.84146341463415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[204,465,314],"beta":{"interval_sums":[334815,321651,308840],"interval_residues":[595,210,178],"display_cycle":[595,210,178],"intervals":[{"from_index":431,"to_index":1087,"sum":334815,"residue":595},{"from_index":1087,"to_index":1743,"sum":321651,"residue":210},{"from_index":1743,"to_index":431,"sum":308840,"residue":178}],"minimal_cycle":[595,210,178],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":595,"start_interval_clock_positions":[431,1087],"circle_positions":983,"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":[432,1088,1744],"clock_positions":[432,1088,1744],"native_values":[553,369,61],"rotation_degrees":79.02439024390245,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[553,369,61],"beta":{"interval_sums":[334727,321596,308983],"interval_residues":[507,155,321],"display_cycle":[507,155,321],"intervals":[{"from_index":432,"to_index":1088,"sum":334727,"residue":507},{"from_index":1088,"to_index":1744,"sum":321596,"residue":155},{"from_index":1744,"to_index":432,"sum":308983,"residue":321}],"minimal_cycle":[507,155,321],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":507,"start_interval_clock_positions":[432,1088],"circle_positions":983,"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":[433,1089,1745],"clock_positions":[433,1089,1745],"native_values":[757,834,375],"rotation_degrees":79.20731707317073,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[757,834,375],"beta":{"interval_sums":[334339,320823,309161],"interval_residues":[119,365,499],"display_cycle":[119,365,499],"intervals":[{"from_index":433,"to_index":1089,"sum":334339,"residue":119},{"from_index":1089,"to_index":1745,"sum":320823,"residue":365},{"from_index":1745,"to_index":433,"sum":309161,"residue":499}],"minimal_cycle":[119,365,499],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":119,"start_interval_clock_positions":[433,1089],"circle_positions":983,"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":[434,1090,1746],"clock_positions":[434,1090,1746],"native_values":[327,220,436],"rotation_degrees":79.39024390243902,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,220,436],"beta":{"interval_sums":[334846,320978,309482],"interval_residues":[626,520,820],"display_cycle":[626,520,820],"intervals":[{"from_index":434,"to_index":1090,"sum":334846,"residue":626},{"from_index":1090,"to_index":1746,"sum":320978,"residue":520},{"from_index":1746,"to_index":434,"sum":309482,"residue":820}],"minimal_cycle":[626,520,820],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":626,"start_interval_clock_positions":[434,1090],"circle_positions":983,"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":[435,1091,1747],"clock_positions":[435,1091,1747],"native_values":[101,71,811],"rotation_degrees":79.57317073170732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,71,811],"beta":{"interval_sums":[334965,321343,308998],"interval_residues":[745,885,336],"display_cycle":[745,885,336],"intervals":[{"from_index":435,"to_index":1091,"sum":334965,"residue":745},{"from_index":1091,"to_index":1747,"sum":321343,"residue":885},{"from_index":1747,"to_index":435,"sum":308998,"residue":336}],"minimal_cycle":[745,885,336],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":745,"start_interval_clock_positions":[435,1091],"circle_positions":983,"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":[436,1092,1748],"clock_positions":[436,1092,1748],"native_values":[428,291,264],"rotation_degrees":79.7560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,291,264],"beta":{"interval_sums":[334608,321863,308835],"interval_residues":[388,422,173],"display_cycle":[388,422,173],"intervals":[{"from_index":436,"to_index":1092,"sum":334608,"residue":388},{"from_index":1092,"to_index":1748,"sum":321863,"residue":422},{"from_index":1748,"to_index":436,"sum":308835,"residue":173}],"minimal_cycle":[388,422,173],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":388,"start_interval_clock_positions":[436,1092],"circle_positions":983,"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":[437,1093,1749],"clock_positions":[437,1093,1749],"native_values":[529,362,92],"rotation_degrees":79.9390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[529,362,92],"beta":{"interval_sums":[334370,321765,309171],"interval_residues":[150,324,509],"display_cycle":[150,324,509],"intervals":[{"from_index":437,"to_index":1093,"sum":334370,"residue":150},{"from_index":1093,"to_index":1749,"sum":321765,"residue":324},{"from_index":1749,"to_index":437,"sum":309171,"residue":509}],"minimal_cycle":[150,324,509],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[437,1093],"circle_positions":983,"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":[438,1094,1750],"clock_positions":[438,1094,1750],"native_values":[957,653,356],"rotation_degrees":80.1219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[957,653,356],"beta":{"interval_sums":[333775,321204,309344],"interval_residues":[538,746,682],"display_cycle":[538,746,682],"intervals":[{"from_index":438,"to_index":1094,"sum":333775,"residue":538},{"from_index":1094,"to_index":1750,"sum":321204,"residue":746},{"from_index":1750,"to_index":438,"sum":309344,"residue":682}],"minimal_cycle":[538,746,682],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":538,"start_interval_clock_positions":[438,1094],"circle_positions":983,"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":[439,1095,1751],"clock_positions":[439,1095,1751],"native_values":[503,32,448],"rotation_degrees":80.3048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[503,32,448],"beta":{"interval_sums":[333925,321528,309853],"interval_residues":[688,87,208],"display_cycle":[688,87,208],"intervals":[{"from_index":439,"to_index":1095,"sum":333925,"residue":688},{"from_index":1095,"to_index":1751,"sum":321528,"residue":87},{"from_index":1751,"to_index":439,"sum":309853,"residue":208}],"minimal_cycle":[688,87,208],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":688,"start_interval_clock_positions":[439,1095],"circle_positions":983,"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":[440,1096,1752],"clock_positions":[440,1096,1752],"native_values":[477,685,804],"rotation_degrees":80.48780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,685,804],"beta":{"interval_sums":[333480,321291,309552],"interval_residues":[243,833,890],"display_cycle":[243,833,890],"intervals":[{"from_index":440,"to_index":1096,"sum":333480,"residue":243},{"from_index":1096,"to_index":1752,"sum":321291,"residue":833},{"from_index":1752,"to_index":440,"sum":309552,"residue":890}],"minimal_cycle":[243,833,890],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":243,"start_interval_clock_positions":[440,1096],"circle_positions":983,"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":[441,1097,1753],"clock_positions":[441,1097,1753],"native_values":[980,717,269],"rotation_degrees":80.67073170731707,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[980,717,269],"beta":{"interval_sums":[333185,321378,309760],"interval_residues":[931,920,115],"display_cycle":[931,920,115],"intervals":[{"from_index":441,"to_index":1097,"sum":333185,"residue":931},{"from_index":1097,"to_index":1753,"sum":321378,"residue":920},{"from_index":1753,"to_index":441,"sum":309760,"residue":115}],"minimal_cycle":[931,920,115],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":931,"start_interval_clock_positions":[441,1097],"circle_positions":983,"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":[442,1098,1754],"clock_positions":[442,1098,1754],"native_values":[474,419,90],"rotation_degrees":80.85365853658537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[474,419,90],"beta":{"interval_sums":[333428,321228,310650],"interval_residues":[191,770,22],"display_cycle":[191,770,22],"intervals":[{"from_index":442,"to_index":1098,"sum":333428,"residue":191},{"from_index":1098,"to_index":1754,"sum":321228,"residue":770},{"from_index":1754,"to_index":442,"sum":310650,"residue":22}],"minimal_cycle":[191,770,22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":191,"start_interval_clock_positions":[442,1098],"circle_positions":983,"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":[443,1099,1755],"clock_positions":[443,1099,1755],"native_values":[471,153,359],"rotation_degrees":81.03658536585365,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,153,359],"beta":{"interval_sums":[333376,321165,310765],"interval_residues":[139,707,137],"display_cycle":[139,707,137],"intervals":[{"from_index":443,"to_index":1099,"sum":333376,"residue":139},{"from_index":1099,"to_index":1755,"sum":321165,"residue":707},{"from_index":1755,"to_index":443,"sum":310765,"residue":137}],"minimal_cycle":[139,707,137],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":139,"start_interval_clock_positions":[443,1099],"circle_positions":983,"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":[444,1100,1756],"clock_positions":[444,1100,1756],"native_values":[945,572,449],"rotation_degrees":81.21951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[945,572,449],"beta":{"interval_sums":[332584,320952,310787],"interval_residues":[330,494,159],"display_cycle":[330,494,159],"intervals":[{"from_index":444,"to_index":1100,"sum":332584,"residue":330},{"from_index":1100,"to_index":1756,"sum":320952,"residue":494},{"from_index":1756,"to_index":444,"sum":310787,"residue":159}],"minimal_cycle":[330,494,159],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[444,1100],"circle_positions":983,"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":[445,1101,1757],"clock_positions":[445,1101,1757],"native_values":[433,725,808],"rotation_degrees":81.40243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,725,808],"beta":{"interval_sums":[332723,320676,310924],"interval_residues":[469,218,296],"display_cycle":[469,218,296],"intervals":[{"from_index":445,"to_index":1101,"sum":332723,"residue":469},{"from_index":1101,"to_index":1757,"sum":320676,"residue":218},{"from_index":1757,"to_index":445,"sum":310924,"residue":296}],"minimal_cycle":[469,218,296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":469,"start_interval_clock_positions":[445,1101],"circle_positions":983,"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":[446,1102,1758],"clock_positions":[446,1102,1758],"native_values":[395,314,274],"rotation_degrees":81.58536585365853,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[395,314,274],"beta":{"interval_sums":[333053,321170,311083],"interval_residues":[799,712,455],"display_cycle":[799,712,455],"intervals":[{"from_index":446,"to_index":1102,"sum":333053,"residue":799},{"from_index":1102,"to_index":1758,"sum":321170,"residue":712},{"from_index":1758,"to_index":446,"sum":311083,"residue":455}],"minimal_cycle":[799,712,455],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":799,"start_interval_clock_positions":[446,1102],"circle_positions":983,"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":[447,1103,1759],"clock_positions":[447,1103,1759],"native_values":[828,56,99],"rotation_degrees":81.76829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[828,56,99],"beta":{"interval_sums":[332539,321388,311379],"interval_residues":[285,930,751],"display_cycle":[285,930,751],"intervals":[{"from_index":447,"to_index":1103,"sum":332539,"residue":285},{"from_index":1103,"to_index":1759,"sum":321388,"residue":930},{"from_index":1759,"to_index":447,"sum":311379,"residue":751}],"minimal_cycle":[285,930,751],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":285,"start_interval_clock_positions":[447,1103],"circle_positions":983,"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":[448,1104,1760],"clock_positions":[448,1104,1760],"native_values":[240,370,373],"rotation_degrees":81.95121951219512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[240,370,373],"beta":{"interval_sums":[332355,321117,311834],"interval_residues":[101,659,223],"display_cycle":[101,659,223],"intervals":[{"from_index":448,"to_index":1104,"sum":332355,"residue":101},{"from_index":1104,"to_index":1760,"sum":321117,"residue":659},{"from_index":1760,"to_index":448,"sum":311834,"residue":223}],"minimal_cycle":[101,659,223],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":101,"start_interval_clock_positions":[448,1104],"circle_positions":983,"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":[449,1105,1761],"clock_positions":[449,1105,1761],"native_values":[85,426,472],"rotation_degrees":82.13414634146342,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,426,472],"beta":{"interval_sums":[332640,321064,311602],"interval_residues":[386,606,974],"display_cycle":[386,606,974],"intervals":[{"from_index":449,"to_index":1105,"sum":332640,"residue":386},{"from_index":1105,"to_index":1761,"sum":321064,"residue":606},{"from_index":1761,"to_index":449,"sum":311602,"residue":974}],"minimal_cycle":[386,606,974],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":386,"start_interval_clock_positions":[449,1105],"circle_positions":983,"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":[450,1106,1762],"clock_positions":[450,1106,1762],"native_values":[325,796,845],"rotation_degrees":82.3170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,796,845],"beta":{"interval_sums":[332741,320740,310842],"interval_residues":[487,282,214],"display_cycle":[487,282,214],"intervals":[{"from_index":450,"to_index":1106,"sum":332741,"residue":487},{"from_index":1106,"to_index":1762,"sum":320740,"residue":282},{"from_index":1762,"to_index":450,"sum":310842,"residue":214}],"minimal_cycle":[487,282,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":487,"start_interval_clock_positions":[450,1106],"circle_positions":983,"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":[451,1107,1763],"clock_positions":[451,1107,1763],"native_values":[410,239,334],"rotation_degrees":82.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[410,239,334],"beta":{"interval_sums":[333127,321346,310833],"interval_residues":[873,888,205],"display_cycle":[873,888,205],"intervals":[{"from_index":451,"to_index":1107,"sum":333127,"residue":873},{"from_index":1107,"to_index":1763,"sum":321346,"residue":888},{"from_index":1763,"to_index":451,"sum":310833,"residue":205}],"minimal_cycle":[873,888,205],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":873,"start_interval_clock_positions":[451,1107],"circle_positions":983,"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":[452,1108,1764],"clock_positions":[452,1108,1764],"native_values":[735,52,196],"rotation_degrees":82.6829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[735,52,196],"beta":{"interval_sums":[332631,321628,311047],"interval_residues":[377,187,419],"display_cycle":[377,187,419],"intervals":[{"from_index":452,"to_index":1108,"sum":332631,"residue":377},{"from_index":1108,"to_index":1764,"sum":321628,"residue":187},{"from_index":1764,"to_index":452,"sum":311047,"residue":419}],"minimal_cycle":[377,187,419],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[452,1108],"circle_positions":983,"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":[453,1109,1765],"clock_positions":[453,1109,1765],"native_values":[162,291,530],"rotation_degrees":82.86585365853658,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[162,291,530],"beta":{"interval_sums":[332521,321533,311252],"interval_residues":[267,92,624],"display_cycle":[267,92,624],"intervals":[{"from_index":453,"to_index":1109,"sum":332521,"residue":267},{"from_index":1109,"to_index":1765,"sum":321533,"residue":92},{"from_index":1765,"to_index":453,"sum":311252,"residue":624}],"minimal_cycle":[267,92,624],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":267,"start_interval_clock_positions":[453,1109],"circle_positions":983,"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":[454,1110,1766],"clock_positions":[454,1110,1766],"native_values":[897,343,726],"rotation_degrees":83.04878048780488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[897,343,726],"beta":{"interval_sums":[331915,321720,310688],"interval_residues":[644,279,60],"display_cycle":[644,279,60],"intervals":[{"from_index":454,"to_index":1110,"sum":331915,"residue":644},{"from_index":1110,"to_index":1766,"sum":321720,"residue":279},{"from_index":1766,"to_index":454,"sum":310688,"residue":60}],"minimal_cycle":[644,279,60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[454,1110],"circle_positions":983,"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":[455,1111,1767],"clock_positions":[455,1111,1767],"native_values":[76,634,273],"rotation_degrees":83.23170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[76,634,273],"beta":{"interval_sums":[332182,321812,311312],"interval_residues":[911,371,684],"display_cycle":[911,371,684],"intervals":[{"from_index":455,"to_index":1111,"sum":332182,"residue":911},{"from_index":1111,"to_index":1767,"sum":321812,"residue":371},{"from_index":1767,"to_index":455,"sum":311312,"residue":684}],"minimal_cycle":[911,371,684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":911,"start_interval_clock_positions":[455,1111],"circle_positions":983,"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":[456,1112,1768],"clock_positions":[456,1112,1768],"native_values":[973,977,16],"rotation_degrees":83.41463414634147,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[973,977,16],"beta":{"interval_sums":[331843,321108,311372],"interval_residues":[572,650,744],"display_cycle":[572,650,744],"intervals":[{"from_index":456,"to_index":1112,"sum":331843,"residue":572},{"from_index":1112,"to_index":1768,"sum":321108,"residue":650},{"from_index":1768,"to_index":456,"sum":311372,"residue":744}],"minimal_cycle":[572,650,744],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":572,"start_interval_clock_positions":[456,1112],"circle_positions":983,"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":[457,1113,1769],"clock_positions":[457,1113,1769],"native_values":[66,628,289],"rotation_degrees":83.59756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[66,628,289],"beta":{"interval_sums":[332754,320496,312056],"interval_residues":[500,38,445],"display_cycle":[500,38,445],"intervals":[{"from_index":457,"to_index":1113,"sum":332754,"residue":500},{"from_index":1113,"to_index":1769,"sum":320496,"residue":38},{"from_index":1769,"to_index":457,"sum":312056,"residue":445}],"minimal_cycle":[500,38,445],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[457,1113],"circle_positions":983,"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":[458,1114,1770],"clock_positions":[458,1114,1770],"native_values":[56,622,305],"rotation_degrees":83.78048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[56,622,305],"beta":{"interval_sums":[333326,320163,311817],"interval_residues":[89,688,206],"display_cycle":[89,688,206],"intervals":[{"from_index":458,"to_index":1114,"sum":333326,"residue":89},{"from_index":1114,"to_index":1770,"sum":320163,"residue":688},{"from_index":1770,"to_index":458,"sum":311817,"residue":206}],"minimal_cycle":[89,688,206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[458,1114],"circle_positions":983,"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":[459,1115,1771],"clock_positions":[459,1115,1771],"native_values":[122,267,594],"rotation_degrees":83.96341463414635,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[122,267,594],"beta":{"interval_sums":[333826,320201,311279],"interval_residues":[589,726,651],"display_cycle":[589,726,651],"intervals":[{"from_index":459,"to_index":1115,"sum":333826,"residue":589},{"from_index":1115,"to_index":1771,"sum":320201,"residue":726},{"from_index":1771,"to_index":459,"sum":311279,"residue":651}],"minimal_cycle":[589,726,651],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":589,"start_interval_clock_positions":[459,1115],"circle_positions":983,"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":[460,1116,1772],"clock_positions":[460,1116,1772],"native_values":[178,889,899],"rotation_degrees":84.14634146341463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[178,889,899],"beta":{"interval_sums":[333915,319906,310502],"interval_residues":[678,431,857],"display_cycle":[678,431,857],"intervals":[{"from_index":460,"to_index":1116,"sum":333915,"residue":678},{"from_index":1116,"to_index":1772,"sum":319906,"residue":431},{"from_index":1772,"to_index":460,"sum":310502,"residue":857}],"minimal_cycle":[678,431,857],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[460,1116],"circle_positions":983,"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":[461,1117,1773],"clock_positions":[461,1117,1773],"native_values":[300,173,510],"rotation_degrees":84.32926829268293,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,173,510],"beta":{"interval_sums":[334504,320632,310170],"interval_residues":[284,174,525],"display_cycle":[284,174,525],"intervals":[{"from_index":461,"to_index":1117,"sum":334504,"residue":284},{"from_index":1117,"to_index":1773,"sum":320632,"residue":174},{"from_index":1773,"to_index":461,"sum":310170,"residue":525}],"minimal_cycle":[284,174,525],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":284,"start_interval_clock_positions":[461,1117],"circle_positions":983,"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":[462,1118,1774],"clock_positions":[462,1118,1774],"native_values":[478,79,426],"rotation_degrees":84.51219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[478,79,426],"beta":{"interval_sums":[334199,321063,310044],"interval_residues":[962,605,399],"display_cycle":[962,605,399],"intervals":[{"from_index":462,"to_index":1118,"sum":334199,"residue":962},{"from_index":1118,"to_index":1774,"sum":321063,"residue":605},{"from_index":1774,"to_index":462,"sum":310044,"residue":399}],"minimal_cycle":[962,605,399],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":962,"start_interval_clock_positions":[462,1118],"circle_positions":983,"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":[463,1119,1775],"clock_positions":[463,1119,1775],"native_values":[778,252,936],"rotation_degrees":84.6951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[778,252,936],"beta":{"interval_sums":[333500,321237,309586],"interval_residues":[263,779,924],"display_cycle":[263,779,924],"intervals":[{"from_index":463,"to_index":1119,"sum":333500,"residue":263},{"from_index":1119,"to_index":1775,"sum":321237,"residue":779},{"from_index":1775,"to_index":463,"sum":309586,"residue":924}],"minimal_cycle":[263,779,924],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":263,"start_interval_clock_positions":[463,1119],"circle_positions":983,"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":[464,1120,1776],"clock_positions":[464,1120,1776],"native_values":[273,331,379],"rotation_degrees":84.8780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[273,331,379],"beta":{"interval_sums":[333479,321842,309985],"interval_residues":[242,401,340],"display_cycle":[242,401,340],"intervals":[{"from_index":464,"to_index":1120,"sum":333479,"residue":242},{"from_index":1120,"to_index":1776,"sum":321842,"residue":401},{"from_index":1776,"to_index":464,"sum":309985,"residue":340}],"minimal_cycle":[242,401,340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":242,"start_interval_clock_positions":[464,1120],"circle_positions":983,"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":[465,1121,1777],"clock_positions":[465,1121,1777],"native_values":[68,583,332],"rotation_degrees":85.0609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[68,583,332],"beta":{"interval_sums":[333742,321638,309926],"interval_residues":[505,197,281],"display_cycle":[505,197,281],"intervals":[{"from_index":465,"to_index":1121,"sum":333742,"residue":505},{"from_index":1121,"to_index":1777,"sum":321638,"residue":197},{"from_index":1777,"to_index":465,"sum":309926,"residue":281}],"minimal_cycle":[505,197,281],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":505,"start_interval_clock_positions":[465,1121],"circle_positions":983,"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":[466,1122,1778],"clock_positions":[466,1122,1778],"native_values":[341,914,711],"rotation_degrees":85.2439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,914,711],"beta":{"interval_sums":[333984,321056,309283],"interval_residues":[747,598,621],"display_cycle":[747,598,621],"intervals":[{"from_index":466,"to_index":1122,"sum":333984,"residue":747},{"from_index":1122,"to_index":1778,"sum":321056,"residue":598},{"from_index":1778,"to_index":466,"sum":309283,"residue":621}],"minimal_cycle":[747,598,621],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":747,"start_interval_clock_positions":[466,1122],"circle_positions":983,"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":[467,1123,1779],"clock_positions":[467,1123,1779],"native_values":[409,514,60],"rotation_degrees":85.42682926829268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,514,60],"beta":{"interval_sums":[334489,321253,309564],"interval_residues":[269,795,902],"display_cycle":[269,795,902],"intervals":[{"from_index":467,"to_index":1123,"sum":334489,"residue":269},{"from_index":1123,"to_index":1779,"sum":321253,"residue":795},{"from_index":1779,"to_index":467,"sum":309564,"residue":902}],"minimal_cycle":[269,795,902],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":269,"start_interval_clock_positions":[467,1123],"circle_positions":983,"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":[468,1124,1780],"clock_positions":[468,1124,1780],"native_values":[750,445,771],"rotation_degrees":85.60975609756098,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[750,445,771],"beta":{"interval_sums":[334253,320868,309202],"interval_residues":[33,410,540],"display_cycle":[33,410,540],"intervals":[{"from_index":468,"to_index":1124,"sum":334253,"residue":33},{"from_index":1124,"to_index":1780,"sum":320868,"residue":410},{"from_index":1780,"to_index":468,"sum":309202,"residue":540}],"minimal_cycle":[33,410,540],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":33,"start_interval_clock_positions":[468,1124],"circle_positions":983,"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":[469,1125,1781],"clock_positions":[469,1125,1781],"native_values":[176,959,831],"rotation_degrees":85.79268292682927,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[176,959,831],"beta":{"interval_sums":[334522,320680,309121],"interval_residues":[302,222,459],"display_cycle":[302,222,459],"intervals":[{"from_index":469,"to_index":1125,"sum":334522,"residue":302},{"from_index":1125,"to_index":1781,"sum":320680,"residue":222},{"from_index":1781,"to_index":469,"sum":309121,"residue":459}],"minimal_cycle":[302,222,459],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":302,"start_interval_clock_positions":[469,1125],"circle_positions":983,"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":[470,1126,1782],"clock_positions":[470,1126,1782],"native_values":[926,421,619],"rotation_degrees":85.97560975609755,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[926,421,619],"beta":{"interval_sums":[334555,321090,308678],"interval_residues":[335,632,16],"display_cycle":[335,632,16],"intervals":[{"from_index":470,"to_index":1126,"sum":334555,"residue":335},{"from_index":1126,"to_index":1782,"sum":321090,"residue":632},{"from_index":1782,"to_index":470,"sum":308678,"residue":16}],"minimal_cycle":[335,632,16],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":335,"start_interval_clock_positions":[470,1126],"circle_positions":983,"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":[471,1127,1783],"clock_positions":[471,1127,1783],"native_values":[119,397,467],"rotation_degrees":86.15853658536585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,397,467],"beta":{"interval_sums":[334857,321312,309137],"interval_residues":[637,854,475],"display_cycle":[637,854,475],"intervals":[{"from_index":471,"to_index":1127,"sum":334857,"residue":637},{"from_index":1127,"to_index":1783,"sum":321312,"residue":854},{"from_index":1783,"to_index":471,"sum":309137,"residue":475}],"minimal_cycle":[637,854,475],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":637,"start_interval_clock_positions":[471,1127],"circle_positions":983,"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":[472,1128,1784],"clock_positions":[472,1128,1784],"native_values":[62,818,103],"rotation_degrees":86.34146341463415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[62,818,103],"beta":{"interval_sums":[335192,320961,309153],"interval_residues":[972,503,491],"display_cycle":[972,503,491],"intervals":[{"from_index":472,"to_index":1128,"sum":335192,"residue":972},{"from_index":1128,"to_index":1784,"sum":320961,"residue":503},{"from_index":1784,"to_index":472,"sum":309153,"residue":491}],"minimal_cycle":[972,503,491],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":972,"start_interval_clock_positions":[472,1128],"circle_positions":983,"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":[473,1129,1785],"clock_positions":[473,1129,1785],"native_values":[181,232,570],"rotation_degrees":86.52439024390245,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,232,570],"beta":{"interval_sums":[335829,320832,308645],"interval_residues":[626,374,966],"display_cycle":[626,374,966],"intervals":[{"from_index":473,"to_index":1129,"sum":335829,"residue":626},{"from_index":1129,"to_index":1785,"sum":320832,"residue":374},{"from_index":1785,"to_index":473,"sum":308645,"residue":966}],"minimal_cycle":[626,374,966],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":626,"start_interval_clock_positions":[473,1129],"circle_positions":983,"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":[474,1130,1786],"clock_positions":[474,1130,1786],"native_values":[243,67,673],"rotation_degrees":86.70731707317073,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,67,673],"beta":{"interval_sums":[335818,321335,308153],"interval_residues":[615,877,474],"display_cycle":[615,877,474],"intervals":[{"from_index":474,"to_index":1130,"sum":335818,"residue":615},{"from_index":1130,"to_index":1786,"sum":321335,"residue":877},{"from_index":1786,"to_index":474,"sum":308153,"residue":474}],"minimal_cycle":[615,877,474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":615,"start_interval_clock_positions":[474,1130],"circle_positions":983,"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":[475,1131,1787],"clock_positions":[475,1131,1787],"native_values":[424,299,260],"rotation_degrees":86.89024390243902,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[424,299,260],"beta":{"interval_sums":[335461,321709,308136],"interval_residues":[258,268,457],"display_cycle":[258,268,457],"intervals":[{"from_index":475,"to_index":1131,"sum":335461,"residue":258},{"from_index":1131,"to_index":1787,"sum":321709,"residue":268},{"from_index":1787,"to_index":475,"sum":308136,"residue":457}],"minimal_cycle":[258,268,457],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[475,1131],"circle_positions":983,"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":[476,1132,1788],"clock_positions":[476,1132,1788],"native_values":[667,366,933],"rotation_degrees":87.07317073170732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[667,366,933],"beta":{"interval_sums":[335093,321603,307627],"interval_residues":[873,162,931],"display_cycle":[873,162,931],"intervals":[{"from_index":476,"to_index":1132,"sum":335093,"residue":873},{"from_index":1132,"to_index":1788,"sum":321603,"residue":162},{"from_index":1788,"to_index":476,"sum":307627,"residue":931}],"minimal_cycle":[873,162,931],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":873,"start_interval_clock_positions":[476,1132],"circle_positions":983,"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":[477,1133,1789],"clock_positions":[477,1133,1789],"native_values":[108,665,210],"rotation_degrees":87.2560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[108,665,210],"beta":{"interval_sums":[335351,321871,308084],"interval_residues":[148,430,405],"display_cycle":[148,430,405],"intervals":[{"from_index":477,"to_index":1133,"sum":335351,"residue":148},{"from_index":1133,"to_index":1789,"sum":321871,"residue":430},{"from_index":1789,"to_index":477,"sum":308084,"residue":405}],"minimal_cycle":[148,430,405],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[477,1133],"circle_positions":983,"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":[478,1134,1790],"clock_positions":[478,1134,1790],"native_values":[775,48,160],"rotation_degrees":87.4390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[775,48,160],"beta":{"interval_sums":[335241,322033,308032],"interval_residues":[38,592,353],"display_cycle":[38,592,353],"intervals":[{"from_index":478,"to_index":1134,"sum":335241,"residue":38},{"from_index":1134,"to_index":1790,"sum":322033,"residue":592},{"from_index":1790,"to_index":478,"sum":308032,"residue":353}],"minimal_cycle":[38,592,353],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[478,1134],"circle_positions":983,"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":[479,1135,1791],"clock_positions":[479,1135,1791],"native_values":[883,713,370],"rotation_degrees":87.6219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[883,713,370],"beta":{"interval_sums":[334406,321480,308437],"interval_residues":[186,39,758],"display_cycle":[186,39,758],"intervals":[{"from_index":479,"to_index":1135,"sum":334406,"residue":186},{"from_index":1135,"to_index":1791,"sum":321480,"residue":39},{"from_index":1791,"to_index":479,"sum":308437,"residue":758}],"minimal_cycle":[186,39,758],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":186,"start_interval_clock_positions":[479,1135],"circle_positions":983,"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":[480,1136,1792],"clock_positions":[480,1136,1792],"native_values":[675,761,530],"rotation_degrees":87.8048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[675,761,530],"beta":{"interval_sums":[334444,321089,308790],"interval_residues":[224,631,128],"display_cycle":[224,631,128],"intervals":[{"from_index":480,"to_index":1136,"sum":334444,"residue":224},{"from_index":1136,"to_index":1792,"sum":321089,"residue":631},{"from_index":1792,"to_index":480,"sum":308790,"residue":128}],"minimal_cycle":[224,631,128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[480,1136],"circle_positions":983,"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":[481,1137,1793],"clock_positions":[481,1137,1793],"native_values":[575,491,900],"rotation_degrees":87.98780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[575,491,900],"beta":{"interval_sums":[334630,321128,308565],"interval_residues":[410,670,886],"display_cycle":[410,670,886],"intervals":[{"from_index":481,"to_index":1137,"sum":334630,"residue":410},{"from_index":1137,"to_index":1793,"sum":321128,"residue":670},{"from_index":1793,"to_index":481,"sum":308565,"residue":886}],"minimal_cycle":[410,670,886],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[481,1137],"circle_positions":983,"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":[482,1138,1794],"clock_positions":[482,1138,1794],"native_values":[267,269,447],"rotation_degrees":88.17073170731707,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[267,269,447],"beta":{"interval_sums":[334854,321759,308693],"interval_residues":[634,318,31],"display_cycle":[634,318,31],"intervals":[{"from_index":482,"to_index":1138,"sum":334854,"residue":634},{"from_index":1138,"to_index":1794,"sum":321759,"residue":318},{"from_index":1794,"to_index":482,"sum":308693,"residue":31}],"minimal_cycle":[634,318,31],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":634,"start_interval_clock_positions":[482,1138],"circle_positions":983,"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":[483,1139,1795],"clock_positions":[483,1139,1795],"native_values":[842,760,364],"rotation_degrees":88.35365853658537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[842,760,364],"beta":{"interval_sums":[334281,321446,308596],"interval_residues":[61,5,917],"display_cycle":[61,5,917],"intervals":[{"from_index":483,"to_index":1139,"sum":334281,"residue":61},{"from_index":1139,"to_index":1795,"sum":321446,"residue":5},{"from_index":1795,"to_index":483,"sum":308596,"residue":917}],"minimal_cycle":[61,5,917],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":61,"start_interval_clock_positions":[483,1139],"circle_positions":983,"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":[484,1140,1796],"clock_positions":[484,1140,1796],"native_values":[126,46,811],"rotation_degrees":88.53658536585365,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[126,46,811],"beta":{"interval_sums":[334915,321764,308627],"interval_residues":[695,323,948],"display_cycle":[695,323,948],"intervals":[{"from_index":484,"to_index":1140,"sum":334915,"residue":695},{"from_index":1140,"to_index":1796,"sum":321764,"residue":323},{"from_index":1796,"to_index":484,"sum":308627,"residue":948}],"minimal_cycle":[695,323,948],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":695,"start_interval_clock_positions":[484,1140],"circle_positions":983,"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":[485,1141,1797],"clock_positions":[485,1141,1797],"native_values":[968,806,192],"rotation_degrees":88.71951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[968,806,192],"beta":{"interval_sums":[333993,321769,308561],"interval_residues":[756,328,882],"display_cycle":[756,328,882],"intervals":[{"from_index":485,"to_index":1141,"sum":333993,"residue":756},{"from_index":1141,"to_index":1797,"sum":321769,"residue":328},{"from_index":1797,"to_index":485,"sum":308561,"residue":882}],"minimal_cycle":[756,328,882],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":756,"start_interval_clock_positions":[485,1141],"circle_positions":983,"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":[486,1142,1798],"clock_positions":[486,1142,1798],"native_values":[111,852,20],"rotation_degrees":88.90243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[111,852,20],"beta":{"interval_sums":[334688,321109,309509],"interval_residues":[468,651,847],"display_cycle":[468,651,847],"intervals":[{"from_index":486,"to_index":1142,"sum":334688,"residue":468},{"from_index":1142,"to_index":1798,"sum":321109,"residue":651},{"from_index":1798,"to_index":486,"sum":309509,"residue":847}],"minimal_cycle":[468,651,847],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[486,1142],"circle_positions":983,"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":[487,1143,1799],"clock_positions":[487,1143,1799],"native_values":[96,675,212],"rotation_degrees":89.08536585365853,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[96,675,212],"beta":{"interval_sums":[335444,320454,309408],"interval_residues":[241,979,746],"display_cycle":[241,979,746],"intervals":[{"from_index":487,"to_index":1143,"sum":335444,"residue":241},{"from_index":1143,"to_index":1799,"sum":320454,"residue":979},{"from_index":1799,"to_index":487,"sum":309408,"residue":746}],"minimal_cycle":[241,979,746],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":241,"start_interval_clock_positions":[487,1143],"circle_positions":983,"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":[488,1144,1800],"clock_positions":[488,1144,1800],"native_values":[207,544,232],"rotation_degrees":89.26829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[207,544,232],"beta":{"interval_sums":[335912,320122,309272],"interval_residues":[709,647,610],"display_cycle":[709,647,610],"intervals":[{"from_index":488,"to_index":1144,"sum":335912,"residue":709},{"from_index":1144,"to_index":1800,"sum":320122,"residue":647},{"from_index":1800,"to_index":488,"sum":309272,"residue":610}],"minimal_cycle":[709,647,610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":709,"start_interval_clock_positions":[488,1144],"circle_positions":983,"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":[489,1145,1801],"clock_positions":[489,1145,1801],"native_values":[303,236,444],"rotation_degrees":89.45121951219512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[303,236,444],"beta":{"interval_sums":[336153,320118,309035],"interval_residues":[950,643,373],"display_cycle":[950,643,373],"intervals":[{"from_index":489,"to_index":1145,"sum":336153,"residue":950},{"from_index":1145,"to_index":1801,"sum":320118,"residue":643},{"from_index":1801,"to_index":489,"sum":309035,"residue":373}],"minimal_cycle":[950,643,373],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":950,"start_interval_clock_positions":[489,1145],"circle_positions":983,"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":[490,1146,1802],"clock_positions":[490,1146,1802],"native_values":[510,780,676],"rotation_degrees":89.63414634146342,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[510,780,676],"beta":{"interval_sums":[335879,319782,308662],"interval_residues":[676,307,0],"display_cycle":[676,307,983],"intervals":[{"from_index":490,"to_index":1146,"sum":335879,"residue":676},{"from_index":1146,"to_index":1802,"sum":319782,"residue":307},{"from_index":1802,"to_index":490,"sum":308662,"residue":0}],"minimal_cycle":[676,307,0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":676,"start_interval_clock_positions":[490,1146],"circle_positions":983,"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":[491,1147,1803],"clock_positions":[491,1147,1803],"native_values":[813,33,137],"rotation_degrees":89.8170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[813,33,137],"beta":{"interval_sums":[335846,320425,309035],"interval_residues":[643,950,373],"display_cycle":[643,950,373],"intervals":[{"from_index":491,"to_index":1147,"sum":335846,"residue":643},{"from_index":1147,"to_index":1803,"sum":320425,"residue":950},{"from_index":1803,"to_index":491,"sum":309035,"residue":373}],"minimal_cycle":[643,950,373],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":643,"start_interval_clock_positions":[491,1147],"circle_positions":983,"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":[492,1148,1804],"clock_positions":[492,1148,1804],"native_values":[340,813,813],"rotation_degrees":90.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[340,813,813],"beta":{"interval_sums":[335539,319749,309035],"interval_residues":[336,274,373],"display_cycle":[336,274,373],"intervals":[{"from_index":492,"to_index":1148,"sum":335539,"residue":336},{"from_index":1148,"to_index":1804,"sum":319749,"residue":274},{"from_index":1804,"to_index":492,"sum":309035,"residue":373}],"minimal_cycle":[336,274,373],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[492,1148],"circle_positions":983,"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":[493,1149,1805],"clock_positions":[493,1149,1805],"native_values":[170,846,950],"rotation_degrees":90.1829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[170,846,950],"beta":{"interval_sums":[336182,319716,308425],"interval_residues":[979,241,746],"display_cycle":[979,241,746],"intervals":[{"from_index":493,"to_index":1149,"sum":336182,"residue":979},{"from_index":1149,"to_index":1805,"sum":319716,"residue":241},{"from_index":1805,"to_index":493,"sum":308425,"residue":746}],"minimal_cycle":[979,241,746],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":979,"start_interval_clock_positions":[493,1149],"circle_positions":983,"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":[494,1150,1806],"clock_positions":[494,1150,1806],"native_values":[510,676,780],"rotation_degrees":90.36585365853658,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[510,676,780],"beta":{"interval_sums":[336518,319990,307815],"interval_residues":[332,515,136],"display_cycle":[332,515,136],"intervals":[{"from_index":494,"to_index":1150,"sum":336518,"residue":332},{"from_index":1150,"to_index":1806,"sum":319990,"residue":515},{"from_index":1806,"to_index":494,"sum":307815,"residue":136}],"minimal_cycle":[332,515,136],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[494,1150],"circle_positions":983,"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":[495,1151,1807],"clock_positions":[495,1151,1807],"native_values":[680,539,747],"rotation_degrees":90.54878048780488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[680,539,747],"beta":{"interval_sums":[336514,320231,307578],"interval_residues":[328,756,882],"display_cycle":[328,756,882],"intervals":[{"from_index":495,"to_index":1151,"sum":336514,"residue":328},{"from_index":1151,"to_index":1807,"sum":320231,"residue":756},{"from_index":1807,"to_index":495,"sum":307578,"residue":882}],"minimal_cycle":[328,756,882],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":328,"start_interval_clock_positions":[495,1151],"circle_positions":983,"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":[496,1152,1808],"clock_positions":[496,1152,1808],"native_values":[207,232,544],"rotation_degrees":90.73170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[207,232,544],"beta":{"interval_sums":[336846,320746,307714],"interval_residues":[660,288,35],"display_cycle":[660,288,35],"intervals":[{"from_index":496,"to_index":1152,"sum":336846,"residue":660},{"from_index":1152,"to_index":1808,"sum":320746,"residue":288},{"from_index":1808,"to_index":496,"sum":307714,"residue":35}],"minimal_cycle":[660,288,35],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":660,"start_interval_clock_positions":[496,1152],"circle_positions":983,"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":[497,1153,1809],"clock_positions":[497,1153,1809],"native_values":[887,771,308],"rotation_degrees":90.91463414634147,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[887,771,308],"beta":{"interval_sums":[336191,320519,307613],"interval_residues":[5,61,917],"display_cycle":[5,61,917],"intervals":[{"from_index":497,"to_index":1153,"sum":336191,"residue":5},{"from_index":1153,"to_index":1809,"sum":320519,"residue":61},{"from_index":1809,"to_index":497,"sum":307613,"residue":917}],"minimal_cycle":[5,61,917],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":5,"start_interval_clock_positions":[497,1153],"circle_positions":983,"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":[498,1154,1810],"clock_positions":[498,1154,1810],"native_values":[111,20,852],"rotation_degrees":91.09756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[111,20,852],"beta":{"interval_sums":[336851,320807,307648],"interval_residues":[665,349,952],"display_cycle":[665,349,952],"intervals":[{"from_index":498,"to_index":1154,"sum":336851,"residue":665},{"from_index":1154,"to_index":1810,"sum":320807,"residue":349},{"from_index":1810,"to_index":498,"sum":307648,"residue":952}],"minimal_cycle":[665,349,952],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":665,"start_interval_clock_positions":[498,1154],"circle_positions":983,"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":[499,1155,1811],"clock_positions":[499,1155,1811],"native_values":[15,791,177],"rotation_degrees":91.28048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[15,791,177],"beta":{"interval_sums":[336856,320868,307582],"interval_residues":[670,410,886],"display_cycle":[670,410,886],"intervals":[{"from_index":499,"to_index":1155,"sum":336856,"residue":670},{"from_index":1155,"to_index":1811,"sum":320868,"residue":410},{"from_index":1811,"to_index":499,"sum":307582,"residue":886}],"minimal_cycle":[670,410,886],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":670,"start_interval_clock_positions":[499,1155],"circle_positions":983,"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":[500,1156,1812],"clock_positions":[500,1156,1812],"native_values":[126,811,46],"rotation_degrees":91.46341463414635,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[126,811,46],"beta":{"interval_sums":[337521,320234,307551],"interval_residues":[352,759,855],"display_cycle":[352,759,855],"intervals":[{"from_index":500,"to_index":1156,"sum":337521,"residue":352},{"from_index":1156,"to_index":1812,"sum":320234,"residue":759},{"from_index":1812,"to_index":500,"sum":307551,"residue":855}],"minimal_cycle":[352,759,855],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[500,1156],"circle_positions":983,"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":[501,1157,1813],"clock_positions":[501,1157,1813],"native_values":[141,619,223],"rotation_degrees":91.64634146341463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,619,223],"beta":{"interval_sums":[338191,319661,307454],"interval_residues":[39,186,758],"display_cycle":[39,186,758],"intervals":[{"from_index":501,"to_index":1157,"sum":338191,"residue":39},{"from_index":1157,"to_index":1813,"sum":319661,"residue":186},{"from_index":1813,"to_index":501,"sum":307454,"residue":758}],"minimal_cycle":[39,186,758],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":39,"start_interval_clock_positions":[501,1157],"circle_positions":983,"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":[502,1158,1814],"clock_positions":[502,1158,1814],"native_values":[267,447,269],"rotation_degrees":91.82926829268293,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[267,447,269],"beta":{"interval_sums":[338543,319437,307326],"interval_residues":[391,945,630],"display_cycle":[391,945,630],"intervals":[{"from_index":502,"to_index":1158,"sum":338543,"residue":391},{"from_index":1158,"to_index":1814,"sum":319437,"residue":945},{"from_index":1814,"to_index":502,"sum":307326,"residue":630}],"minimal_cycle":[391,945,630],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":391,"start_interval_clock_positions":[502,1158],"circle_positions":983,"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":[503,1159,1815],"clock_positions":[503,1159,1815],"native_values":[408,83,492],"rotation_degrees":92.01219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[408,83,492],"beta":{"interval_sums":[338582,319623,307101],"interval_residues":[430,148,405],"display_cycle":[430,148,405],"intervals":[{"from_index":503,"to_index":1159,"sum":338582,"residue":430},{"from_index":1159,"to_index":1815,"sum":319623,"residue":148},{"from_index":1815,"to_index":503,"sum":307101,"residue":405}],"minimal_cycle":[430,148,405],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[503,1159],"circle_positions":983,"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":[504,1160,1816],"clock_positions":[504,1160,1816],"native_values":[675,530,761],"rotation_degrees":92.1951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[675,530,761],"beta":{"interval_sums":[337990,319585,306748],"interval_residues":[821,110,52],"display_cycle":[821,110,52],"intervals":[{"from_index":504,"to_index":1160,"sum":337990,"residue":821},{"from_index":1160,"to_index":1816,"sum":319585,"residue":110},{"from_index":1816,"to_index":504,"sum":306748,"residue":52}],"minimal_cycle":[821,110,52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":821,"start_interval_clock_positions":[504,1160],"circle_positions":983,"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":[505,1161,1817],"clock_positions":[505,1161,1817],"native_values":[100,613,270],"rotation_degrees":92.3780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[100,613,270],"beta":{"interval_sums":[338420,319733,307153],"interval_residues":[268,258,457],"display_cycle":[268,258,457],"intervals":[{"from_index":505,"to_index":1161,"sum":338420,"residue":268},{"from_index":1161,"to_index":1817,"sum":319733,"residue":258},{"from_index":1817,"to_index":505,"sum":307153,"residue":457}],"minimal_cycle":[268,258,457],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":268,"start_interval_clock_positions":[505,1161],"circle_positions":983,"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":[506,1162,1818],"clock_positions":[506,1162,1818],"native_values":[775,160,48],"rotation_degrees":92.5609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[775,160,48],"beta":{"interval_sums":[338258,319843,307205],"interval_residues":[106,368,509],"display_cycle":[106,368,509],"intervals":[{"from_index":506,"to_index":1162,"sum":338258,"residue":106},{"from_index":1162,"to_index":1818,"sum":319843,"residue":368},{"from_index":1818,"to_index":506,"sum":307205,"residue":509}],"minimal_cycle":[106,368,509],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[506,1162],"circle_positions":983,"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":[507,1163,1819],"clock_positions":[507,1163,1819],"native_values":[875,773,318],"rotation_degrees":92.7439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[875,773,318],"beta":{"interval_sums":[337543,319118,307662],"interval_residues":[374,626,966],"display_cycle":[374,626,966],"intervals":[{"from_index":507,"to_index":1163,"sum":337543,"residue":374},{"from_index":1163,"to_index":1819,"sum":319118,"residue":626},{"from_index":1819,"to_index":507,"sum":307662,"residue":966}],"minimal_cycle":[374,626,966],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":374,"start_interval_clock_positions":[507,1163],"circle_positions":983,"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":[508,1164,1820],"clock_positions":[508,1164,1820],"native_values":[667,933,366],"rotation_degrees":92.92682926829268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[667,933,366],"beta":{"interval_sums":[337649,318503,308171],"interval_residues":[480,11,492],"display_cycle":[480,11,492],"intervals":[{"from_index":508,"to_index":1164,"sum":337649,"residue":480},{"from_index":1164,"to_index":1820,"sum":318503,"residue":11},{"from_index":1820,"to_index":508,"sum":308171,"residue":492}],"minimal_cycle":[480,11,492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[508,1164],"circle_positions":983,"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":[509,1165,1821],"clock_positions":[509,1165,1821],"native_values":[559,723,684],"rotation_degrees":93.10975609756098,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[559,723,684],"beta":{"interval_sums":[338023,318146,308154],"interval_residues":[854,637,475],"display_cycle":[854,637,475],"intervals":[{"from_index":509,"to_index":1165,"sum":338023,"residue":854},{"from_index":1165,"to_index":1821,"sum":318146,"residue":637},{"from_index":1821,"to_index":509,"sum":308154,"residue":475}],"minimal_cycle":[854,637,475],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":854,"start_interval_clock_positions":[509,1165],"circle_positions":983,"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":[510,1166,1822],"clock_positions":[510,1166,1822],"native_values":[243,673,67],"rotation_degrees":93.29268292682927,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,673,67],"beta":{"interval_sums":[338503,318157,308646],"interval_residues":[351,648,967],"display_cycle":[351,648,967],"intervals":[{"from_index":510,"to_index":1166,"sum":338503,"residue":351},{"from_index":1166,"to_index":1822,"sum":318157,"residue":648},{"from_index":1822,"to_index":510,"sum":308646,"residue":967}],"minimal_cycle":[351,648,967],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":351,"start_interval_clock_positions":[510,1166],"circle_positions":983,"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":[511,1167,1823],"clock_positions":[511,1167,1823],"native_values":[802,413,751],"rotation_degrees":93.47560975609755,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[802,413,751],"beta":{"interval_sums":[338374,317811,308138],"interval_residues":[222,302,459],"display_cycle":[222,302,459],"intervals":[{"from_index":511,"to_index":1167,"sum":338374,"residue":222},{"from_index":1167,"to_index":1823,"sum":317811,"residue":302},{"from_index":1823,"to_index":511,"sum":308138,"residue":459}],"minimal_cycle":[222,302,459],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":222,"start_interval_clock_positions":[511,1167],"circle_positions":983,"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":[512,1168,1824],"clock_positions":[512,1168,1824],"native_values":[62,103,818],"rotation_degrees":93.65853658536585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[62,103,818],"beta":{"interval_sums":[338725,318459,308122],"interval_residues":[573,950,443],"display_cycle":[573,950,443],"intervals":[{"from_index":512,"to_index":1168,"sum":338725,"residue":573},{"from_index":1168,"to_index":1824,"sum":318459,"residue":950},{"from_index":1824,"to_index":512,"sum":308122,"residue":443}],"minimal_cycle":[573,950,443],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":573,"start_interval_clock_positions":[512,1168],"circle_positions":983,"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":[513,1169,1825],"clock_positions":[513,1169,1825],"native_values":[864,516,586],"rotation_degrees":93.84146341463415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[864,516,586],"beta":{"interval_sums":[337964,318761,307598],"interval_residues":[795,269,902],"display_cycle":[795,269,902],"intervals":[{"from_index":513,"to_index":1169,"sum":337964,"residue":795},{"from_index":1169,"to_index":1825,"sum":318761,"residue":269},{"from_index":1825,"to_index":513,"sum":307598,"residue":902}],"minimal_cycle":[795,269,902],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":795,"start_interval_clock_positions":[513,1169],"circle_positions":983,"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":[514,1170,1826],"clock_positions":[514,1170,1826],"native_values":[926,619,421],"rotation_degrees":94.02439024390245,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[926,619,421],"beta":{"interval_sums":[337554,318728,308041],"interval_residues":[385,236,362],"display_cycle":[385,236,362],"intervals":[{"from_index":514,"to_index":1170,"sum":337554,"residue":385},{"from_index":1170,"to_index":1826,"sum":318728,"residue":236},{"from_index":1826,"to_index":514,"sum":308041,"residue":362}],"minimal_cycle":[385,236,362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":385,"start_interval_clock_positions":[514,1170],"circle_positions":983,"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":[515,1171,1827],"clock_positions":[515,1171,1827],"native_values":[807,152,24],"rotation_degrees":94.20731707317073,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[807,152,24],"beta":{"interval_sums":[337366,318997,308943],"interval_residues":[197,505,281],"display_cycle":[197,505,281],"intervals":[{"from_index":515,"to_index":1171,"sum":337366,"residue":197},{"from_index":1171,"to_index":1827,"sum":318997,"residue":505},{"from_index":1827,"to_index":515,"sum":308943,"residue":281}],"minimal_cycle":[197,505,281],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":197,"start_interval_clock_positions":[515,1171],"circle_positions":983,"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":[516,1172,1828],"clock_positions":[516,1172,1828],"native_values":[750,771,445],"rotation_degrees":94.39024390243902,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[750,771,445],"beta":{"interval_sums":[336768,318250,309305],"interval_residues":[582,741,643],"display_cycle":[582,741,643],"intervals":[{"from_index":516,"to_index":1172,"sum":336768,"residue":582},{"from_index":1172,"to_index":1828,"sum":318250,"residue":741},{"from_index":1828,"to_index":516,"sum":309305,"residue":643}],"minimal_cycle":[582,741,643],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":582,"start_interval_clock_positions":[516,1172],"circle_positions":983,"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":[517,1173,1829],"clock_positions":[517,1173,1829],"native_values":[574,923,469],"rotation_degrees":94.57317073170732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[574,923,469],"beta":{"interval_sums":[336965,317772,309586],"interval_residues":[779,263,924],"display_cycle":[779,263,924],"intervals":[{"from_index":517,"to_index":1173,"sum":336965,"residue":779},{"from_index":1173,"to_index":1829,"sum":317772,"residue":263},{"from_index":1829,"to_index":517,"sum":309586,"residue":924}],"minimal_cycle":[779,263,924],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":779,"start_interval_clock_positions":[517,1173],"circle_positions":983,"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":[518,1174,1830],"clock_positions":[518,1174,1830],"native_values":[341,711,914],"rotation_degrees":94.7560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,711,914],"beta":{"interval_sums":[337547,317530,309246],"interval_residues":[378,21,584],"display_cycle":[378,21,584],"intervals":[{"from_index":518,"to_index":1174,"sum":337547,"residue":378},{"from_index":1174,"to_index":1830,"sum":317530,"residue":21},{"from_index":1830,"to_index":518,"sum":309246,"residue":584}],"minimal_cycle":[378,21,584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[518,1174],"circle_positions":983,"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":[519,1175,1831],"clock_positions":[519,1175,1831],"native_values":[915,651,400],"rotation_degrees":94.9390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[915,651,400],"beta":{"interval_sums":[337343,317793,309187],"interval_residues":[174,284,525],"display_cycle":[174,284,525],"intervals":[{"from_index":519,"to_index":1175,"sum":337343,"residue":174},{"from_index":1175,"to_index":1831,"sum":317793,"residue":284},{"from_index":1831,"to_index":519,"sum":309187,"residue":525}],"minimal_cycle":[174,284,525],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[519,1175],"circle_positions":983,"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":[520,1176,1832],"clock_positions":[520,1176,1832],"native_values":[273,379,331],"rotation_degrees":95.1219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[273,379,331],"beta":{"interval_sums":[337721,317814,309771],"interval_residues":[552,305,126],"display_cycle":[552,305,126],"intervals":[{"from_index":520,"to_index":1176,"sum":337721,"residue":552},{"from_index":1176,"to_index":1832,"sum":317814,"residue":305},{"from_index":1832,"to_index":520,"sum":309771,"residue":126}],"minimal_cycle":[552,305,126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[520,1176],"circle_positions":983,"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":[521,1177,1833],"clock_positions":[521,1177,1833],"native_values":[205,47,731],"rotation_degrees":95.3048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,47,731],"beta":{"interval_sums":[337895,318098,309313],"interval_residues":[726,589,651],"display_cycle":[726,589,651],"intervals":[{"from_index":521,"to_index":1177,"sum":337895,"residue":726},{"from_index":1177,"to_index":1833,"sum":318098,"residue":589},{"from_index":1833,"to_index":521,"sum":309313,"residue":651}],"minimal_cycle":[726,589,651],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":726,"start_interval_clock_positions":[521,1177],"circle_positions":983,"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":[522,1178,1834],"clock_positions":[522,1178,1834],"native_values":[478,426,79],"rotation_degrees":95.48780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[478,426,79],"beta":{"interval_sums":[337464,318403,309439],"interval_residues":[295,894,777],"display_cycle":[295,894,777],"intervals":[{"from_index":522,"to_index":1178,"sum":337464,"residue":295},{"from_index":1178,"to_index":1834,"sum":318403,"residue":894},{"from_index":1834,"to_index":522,"sum":309439,"residue":777}],"minimal_cycle":[295,894,777],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":295,"start_interval_clock_positions":[522,1178],"circle_positions":983,"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":[523,1179,1835],"clock_positions":[523,1179,1835],"native_values":[683,473,810],"rotation_degrees":95.67073170731707,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[683,473,810],"beta":{"interval_sums":[337207,318009,309107],"interval_residues":[38,500,445],"display_cycle":[38,500,445],"intervals":[{"from_index":523,"to_index":1179,"sum":337207,"residue":38},{"from_index":1179,"to_index":1835,"sum":318009,"residue":500},{"from_index":1835,"to_index":523,"sum":309107,"residue":445}],"minimal_cycle":[38,500,445],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[523,1179],"circle_positions":983,"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":[524,1180,1836],"clock_positions":[524,1180,1836],"native_values":[178,899,889],"rotation_degrees":95.85365853658537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[178,899,889],"beta":{"interval_sums":[337502,317920,308901],"interval_residues":[333,411,239],"display_cycle":[333,411,239],"intervals":[{"from_index":524,"to_index":1180,"sum":337502,"residue":333},{"from_index":1180,"to_index":1836,"sum":317920,"residue":411},{"from_index":1836,"to_index":524,"sum":308901,"residue":239}],"minimal_cycle":[333,411,239],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":333,"start_interval_clock_positions":[524,1180],"circle_positions":983,"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":[525,1181,1837],"clock_positions":[525,1181,1837],"native_values":[861,389,716],"rotation_degrees":96.03658536585365,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[861,389,716],"beta":{"interval_sums":[337540,318420,308363],"interval_residues":[371,911,684],"display_cycle":[371,911,684],"intervals":[{"from_index":525,"to_index":1181,"sum":337540,"residue":371},{"from_index":1181,"to_index":1837,"sum":318420,"residue":911},{"from_index":1837,"to_index":525,"sum":308363,"residue":684}],"minimal_cycle":[371,911,684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":371,"start_interval_clock_positions":[525,1181],"circle_positions":983,"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":[526,1182,1838],"clock_positions":[526,1182,1838],"native_values":[56,305,622],"rotation_degrees":96.21951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[56,305,622],"beta":{"interval_sums":[337873,318831,308602],"interval_residues":[704,339,923],"display_cycle":[704,339,923],"intervals":[{"from_index":526,"to_index":1182,"sum":337873,"residue":704},{"from_index":1182,"to_index":1838,"sum":318831,"residue":339},{"from_index":1838,"to_index":526,"sum":308602,"residue":923}],"minimal_cycle":[704,339,923],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":704,"start_interval_clock_positions":[526,1182],"circle_positions":983,"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":[527,1183,1839],"clock_positions":[527,1183,1839],"native_values":[917,694,355],"rotation_degrees":96.40243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[917,694,355],"beta":{"interval_sums":[337261,318759,308303],"interval_residues":[92,267,624],"display_cycle":[92,267,624],"intervals":[{"from_index":527,"to_index":1183,"sum":337261,"residue":92},{"from_index":1183,"to_index":1839,"sum":318759,"residue":267},{"from_index":1839,"to_index":527,"sum":308303,"residue":624}],"minimal_cycle":[92,267,624],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[527,1183],"circle_positions":983,"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":[528,1184,1840],"clock_positions":[528,1184,1840],"native_values":[973,16,977],"rotation_degrees":96.58536585365853,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[973,16,977],"beta":{"interval_sums":[336982,319098,308243],"interval_residues":[796,606,564],"display_cycle":[796,606,564],"intervals":[{"from_index":528,"to_index":1184,"sum":336982,"residue":796},{"from_index":1184,"to_index":1840,"sum":319098,"residue":606},{"from_index":1840,"to_index":528,"sum":308243,"residue":564}],"minimal_cycle":[796,606,564],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":796,"start_interval_clock_positions":[528,1184],"circle_positions":983,"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":[529,1185,1841],"clock_positions":[529,1185,1841],"native_values":[907,710,349],"rotation_degrees":96.76829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[907,710,349],"beta":{"interval_sums":[336091,319365,308867],"interval_residues":[888,873,205],"display_cycle":[888,873,205],"intervals":[{"from_index":529,"to_index":1185,"sum":336091,"residue":888},{"from_index":1185,"to_index":1841,"sum":319365,"residue":873},{"from_index":1841,"to_index":529,"sum":308867,"residue":205}],"minimal_cycle":[888,873,205],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":888,"start_interval_clock_positions":[529,1185],"circle_positions":983,"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":[530,1186,1842],"clock_positions":[530,1186,1842],"native_values":[897,726,343],"rotation_degrees":96.95121951219512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[897,726,343],"beta":{"interval_sums":[335904,318988,309431],"interval_residues":[701,496,769],"display_cycle":[701,496,769],"intervals":[{"from_index":530,"to_index":1186,"sum":335904,"residue":701},{"from_index":1186,"to_index":1842,"sum":318988,"residue":496},{"from_index":1842,"to_index":530,"sum":309431,"residue":769}],"minimal_cycle":[701,496,769],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":701,"start_interval_clock_positions":[530,1186],"circle_positions":983,"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":[531,1187,1843],"clock_positions":[531,1187,1843],"native_values":[821,453,692],"rotation_degrees":97.13414634146342,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[821,453,692],"beta":{"interval_sums":[335809,318878,309636],"interval_residues":[606,386,974],"display_cycle":[606,386,974],"intervals":[{"from_index":531,"to_index":1187,"sum":335809,"residue":606},{"from_index":1187,"to_index":1843,"sum":318878,"residue":386},{"from_index":1843,"to_index":531,"sum":309636,"residue":974}],"minimal_cycle":[606,386,974],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":606,"start_interval_clock_positions":[531,1187],"circle_positions":983,"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":[532,1188,1844],"clock_positions":[532,1188,1844],"native_values":[735,196,52],"rotation_degrees":97.3170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[735,196,52],"beta":{"interval_sums":[335527,319374,310405],"interval_residues":[324,882,760],"display_cycle":[324,882,760],"intervals":[{"from_index":532,"to_index":1188,"sum":335527,"residue":324},{"from_index":1188,"to_index":1844,"sum":319374,"residue":882},{"from_index":1844,"to_index":532,"sum":310405,"residue":760}],"minimal_cycle":[324,882,760],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[532,1188],"circle_positions":983,"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":[533,1189,1845],"clock_positions":[533,1189,1845],"native_values":[573,649,744],"rotation_degrees":97.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,649,744],"beta":{"interval_sums":[335150,318777,310396],"interval_residues":[930,285,751],"display_cycle":[930,285,751],"intervals":[{"from_index":533,"to_index":1189,"sum":335150,"residue":930},{"from_index":1189,"to_index":1845,"sum":318777,"residue":285},{"from_index":1845,"to_index":533,"sum":310396,"residue":751}],"minimal_cycle":[930,285,751],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":930,"start_interval_clock_positions":[533,1189],"circle_positions":983,"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":[534,1190,1846],"clock_positions":[534,1190,1846],"native_values":[325,845,796],"rotation_degrees":97.6829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,845,796],"beta":{"interval_sums":[335474,318676,310173],"interval_residues":[271,184,528],"display_cycle":[271,184,528],"intervals":[{"from_index":534,"to_index":1190,"sum":335474,"residue":271},{"from_index":1190,"to_index":1846,"sum":318676,"residue":184},{"from_index":1846,"to_index":534,"sum":310173,"residue":528}],"minimal_cycle":[271,184,528],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":271,"start_interval_clock_positions":[534,1190],"circle_positions":983,"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":[535,1191,1847],"clock_positions":[535,1191,1847],"native_values":[898,511,557],"rotation_degrees":97.86585365853658,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[898,511,557],"beta":{"interval_sums":[335421,318961,309941],"interval_residues":[218,469,296],"display_cycle":[218,469,296],"intervals":[{"from_index":535,"to_index":1191,"sum":335421,"residue":218},{"from_index":1191,"to_index":1847,"sum":318961,"residue":469},{"from_index":1847,"to_index":535,"sum":309941,"residue":296}],"minimal_cycle":[218,469,296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":218,"start_interval_clock_positions":[535,1191],"circle_positions":983,"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":[536,1192,1848],"clock_positions":[536,1192,1848],"native_values":[240,373,370],"rotation_degrees":98.04878048780488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[240,373,370],"beta":{"interval_sums":[335692,319145,310469],"interval_residues":[489,653,824],"display_cycle":[489,653,824],"intervals":[{"from_index":536,"to_index":1192,"sum":335692,"residue":489},{"from_index":1192,"to_index":1848,"sum":319145,"residue":653},{"from_index":1848,"to_index":536,"sum":310469,"residue":824}],"minimal_cycle":[489,653,824],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":489,"start_interval_clock_positions":[536,1192],"circle_positions":983,"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":[537,1193,1849],"clock_positions":[537,1193,1849],"native_values":[155,884,927],"rotation_degrees":98.23170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,884,927],"beta":{"interval_sums":[335910,318631,309782],"interval_residues":[707,139,137],"display_cycle":[707,139,137],"intervals":[{"from_index":537,"to_index":1193,"sum":335910,"residue":707},{"from_index":1193,"to_index":1849,"sum":318631,"residue":139},{"from_index":1849,"to_index":537,"sum":309782,"residue":137}],"minimal_cycle":[707,139,137],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":707,"start_interval_clock_positions":[537,1193],"circle_positions":983,"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":[538,1194,1850],"clock_positions":[538,1194,1850],"native_values":[395,274,314],"rotation_degrees":98.41463414634147,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[395,274,314],"beta":{"interval_sums":[336399,319284,309623],"interval_residues":[213,792,961],"display_cycle":[213,792,961],"intervals":[{"from_index":538,"to_index":1194,"sum":336399,"residue":213},{"from_index":1194,"to_index":1850,"sum":319284,"residue":792},{"from_index":1850,"to_index":538,"sum":309623,"residue":961}],"minimal_cycle":[213,792,961],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":213,"start_interval_clock_positions":[538,1194],"circle_positions":983,"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":[539,1195,1851],"clock_positions":[539,1195,1851],"native_values":[550,175,258],"rotation_degrees":98.59756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[550,175,258],"beta":{"interval_sums":[336123,319423,309760],"interval_residues":[920,931,115],"display_cycle":[920,931,115],"intervals":[{"from_index":539,"to_index":1195,"sum":336123,"residue":920},{"from_index":1195,"to_index":1851,"sum":319423,"residue":931},{"from_index":1851,"to_index":539,"sum":309760,"residue":115}],"minimal_cycle":[920,931,115],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":920,"start_interval_clock_positions":[539,1195],"circle_positions":983,"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":[540,1196,1852],"clock_positions":[540,1196,1852],"native_values":[945,449,572],"rotation_degrees":98.78048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[945,449,572],"beta":{"interval_sums":[335353,319232,309738],"interval_residues":[150,740,93],"display_cycle":[150,740,93],"intervals":[{"from_index":540,"to_index":1196,"sum":335353,"residue":150},{"from_index":1196,"to_index":1852,"sum":319232,"residue":740},{"from_index":1852,"to_index":540,"sum":309738,"residue":93}],"minimal_cycle":[150,740,93],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[540,1196],"circle_positions":983,"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":[541,1197,1853],"clock_positions":[541,1197,1853],"native_values":[512,624,830],"rotation_degrees":98.96341463414635,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[512,624,830],"beta":{"interval_sums":[335290,319180,309853],"interval_residues":[87,688,208],"display_cycle":[87,688,208],"intervals":[{"from_index":541,"to_index":1197,"sum":335290,"residue":87},{"from_index":1197,"to_index":1853,"sum":319180,"residue":688},{"from_index":1853,"to_index":541,"sum":309853,"residue":208}],"minimal_cycle":[87,688,208],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":87,"start_interval_clock_positions":[541,1197],"circle_positions":983,"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":[542,1198,1854],"clock_positions":[542,1198,1854],"native_values":[474,90,419],"rotation_degrees":99.14634146341463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[474,90,419],"beta":{"interval_sums":[335440,319920,309946],"interval_residues":[237,445,301],"display_cycle":[237,445,301],"intervals":[{"from_index":542,"to_index":1198,"sum":335440,"residue":237},{"from_index":1198,"to_index":1854,"sum":319920,"residue":445},{"from_index":1854,"to_index":542,"sum":309946,"residue":301}],"minimal_cycle":[237,445,301],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":237,"start_interval_clock_positions":[542,1198],"circle_positions":983,"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":[543,1199,1855],"clock_positions":[543,1199,1855],"native_values":[3,714,266],"rotation_degrees":99.32926829268293,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,714,266],"beta":{"interval_sums":[335527,319625,310154],"interval_residues":[324,150,509],"display_cycle":[324,150,509],"intervals":[{"from_index":543,"to_index":1199,"sum":335527,"residue":324},{"from_index":1199,"to_index":1855,"sum":319625,"residue":150},{"from_index":1855,"to_index":543,"sum":310154,"residue":509}],"minimal_cycle":[324,150,509],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[543,1199],"circle_positions":983,"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":[544,1200,1856],"clock_positions":[544,1200,1856],"native_values":[477,804,685],"rotation_degrees":99.51219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,804,685],"beta":{"interval_sums":[335764,319087,309472],"interval_residues":[561,595,810],"display_cycle":[561,595,810],"intervals":[{"from_index":544,"to_index":1200,"sum":335764,"residue":561},{"from_index":1200,"to_index":1856,"sum":319087,"residue":595},{"from_index":1856,"to_index":544,"sum":309472,"residue":810}],"minimal_cycle":[561,595,810],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":561,"start_interval_clock_positions":[544,1200],"circle_positions":983,"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":[545,1201,1857],"clock_positions":[545,1201,1857],"native_values":[480,535,951],"rotation_degrees":99.6951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[480,535,951],"beta":{"interval_sums":[336088,319237,308998],"interval_residues":[885,745,336],"display_cycle":[885,745,336],"intervals":[{"from_index":545,"to_index":1201,"sum":336088,"residue":885},{"from_index":1201,"to_index":1857,"sum":319237,"residue":745},{"from_index":1857,"to_index":545,"sum":308998,"residue":336}],"minimal_cycle":[885,745,336],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":885,"start_interval_clock_positions":[545,1201],"circle_positions":983,"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":[546,1202,1858],"clock_positions":[546,1202,1858],"native_values":[957,356,653],"rotation_degrees":99.8780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[957,356,653],"beta":{"interval_sums":[335666,319832,308825],"interval_residues":[463,357,163],"display_cycle":[463,357,163],"intervals":[{"from_index":546,"to_index":1202,"sum":335666,"residue":463},{"from_index":1202,"to_index":1858,"sum":319832,"residue":357},{"from_index":1858,"to_index":546,"sum":308825,"residue":163}],"minimal_cycle":[463,357,163],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":463,"start_interval_clock_positions":[546,1202],"circle_positions":983,"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":[547,1203,1859],"clock_positions":[547,1203,1859],"native_values":[454,891,621],"rotation_degrees":100.0609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[454,891,621],"beta":{"interval_sums":[335568,319594,309161],"interval_residues":[365,119,499],"display_cycle":[365,119,499],"intervals":[{"from_index":547,"to_index":1203,"sum":335568,"residue":365},{"from_index":1203,"to_index":1859,"sum":319594,"residue":119},{"from_index":1859,"to_index":547,"sum":309161,"residue":499}],"minimal_cycle":[365,119,499],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":365,"start_interval_clock_positions":[547,1203],"circle_positions":983,"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":[548,1204,1860],"clock_positions":[548,1204,1860],"native_values":[428,264,291],"rotation_degrees":100.2439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,264,291],"beta":{"interval_sums":[336031,319951,309324],"interval_residues":[828,476,662],"display_cycle":[828,476,662],"intervals":[{"from_index":548,"to_index":1204,"sum":336031,"residue":828},{"from_index":1204,"to_index":1860,"sum":319951,"residue":476},{"from_index":1860,"to_index":548,"sum":309324,"residue":662}],"minimal_cycle":[828,476,662],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":828,"start_interval_clock_positions":[548,1204],"circle_positions":983,"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":[549,1205,1861],"clock_positions":[549,1205,1861],"native_values":[882,172,912],"rotation_degrees":100.42682926829268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[882,172,912],"beta":{"interval_sums":[335413,320070,308840],"interval_residues":[210,595,178],"display_cycle":[210,595,178],"intervals":[{"from_index":549,"to_index":1205,"sum":335413,"residue":210},{"from_index":1205,"to_index":1861,"sum":320070,"residue":595},{"from_index":1861,"to_index":549,"sum":308840,"residue":178}],"minimal_cycle":[210,595,178],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[549,1205],"circle_positions":983,"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":[550,1206,1862],"clock_positions":[550,1206,1862],"native_values":[327,436,220],"rotation_degrees":100.60975609756098,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,436,220],"beta":{"interval_sums":[335258,320546,309502],"interval_residues":[55,88,840],"display_cycle":[55,88,840],"intervals":[{"from_index":550,"to_index":1206,"sum":335258,"residue":55},{"from_index":1206,"to_index":1862,"sum":320546,"residue":88},{"from_index":1862,"to_index":550,"sum":309502,"residue":840}],"minimal_cycle":[55,88,840],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":55,"start_interval_clock_positions":[550,1206],"circle_positions":983,"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":[551,1207,1863],"clock_positions":[551,1207,1863],"native_values":[226,608,149],"rotation_degrees":100.79268292682927,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[226,608,149],"beta":{"interval_sums":[335468,320158,309680],"interval_residues":[265,683,35],"display_cycle":[265,683,35],"intervals":[{"from_index":551,"to_index":1207,"sum":335468,"residue":265},{"from_index":1207,"to_index":1863,"sum":320158,"residue":683},{"from_index":1863,"to_index":551,"sum":309680,"residue":35}],"minimal_cycle":[265,683,35],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[551,1207],"circle_positions":983,"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":[552,1208,1864],"clock_positions":[552,1208,1864],"native_values":[553,61,369],"rotation_degrees":100.97560975609755,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[553,61,369],"beta":{"interval_sums":[335523,320246,309537],"interval_residues":[320,771,875],"display_cycle":[320,771,875],"intervals":[{"from_index":552,"to_index":1208,"sum":335523,"residue":320},{"from_index":1208,"to_index":1864,"sum":320246,"residue":771},{"from_index":1864,"to_index":552,"sum":309537,"residue":875}],"minimal_cycle":[320,771,875],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[552,1208],"circle_positions":983,"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":[553,1209,1865],"clock_positions":[553,1209,1865],"native_values":[779,669,518],"rotation_degrees":101.15853658536585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[779,669,518],"beta":{"interval_sums":[334805,319946,309572],"interval_residues":[585,471,910],"display_cycle":[585,471,910],"intervals":[{"from_index":553,"to_index":1209,"sum":334805,"residue":585},{"from_index":1209,"to_index":1865,"sum":319946,"residue":471},{"from_index":1865,"to_index":553,"sum":309572,"residue":910}],"minimal_cycle":[585,471,910],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":585,"start_interval_clock_positions":[553,1209],"circle_positions":983,"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":[554,1210,1866],"clock_positions":[554,1210,1866],"native_values":[349,730,887],"rotation_degrees":101.34146341463415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,730,887],"beta":{"interval_sums":[335125,319734,309464],"interval_residues":[905,259,802],"display_cycle":[905,259,802],"intervals":[{"from_index":554,"to_index":1210,"sum":335125,"residue":905},{"from_index":1210,"to_index":1866,"sum":319734,"residue":259},{"from_index":1866,"to_index":554,"sum":309464,"residue":802}],"minimal_cycle":[905,259,802],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":905,"start_interval_clock_positions":[554,1210],"circle_positions":983,"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":[555,1211,1867],"clock_positions":[555,1211,1867],"native_values":[145,416,422],"rotation_degrees":101.52439024390245,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[145,416,422],"beta":{"interval_sums":[335710,320205,309391],"interval_residues":[507,730,729],"display_cycle":[507,730,729],"intervals":[{"from_index":555,"to_index":1211,"sum":335710,"residue":507},{"from_index":1211,"to_index":1867,"sum":320205,"residue":730},{"from_index":1867,"to_index":555,"sum":309391,"residue":729}],"minimal_cycle":[507,730,729],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":507,"start_interval_clock_positions":[555,1211],"circle_positions":983,"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":[556,1212,1868],"clock_positions":[556,1212,1868],"native_values":[494,163,326],"rotation_degrees":101.70731707317073,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[494,163,326],"beta":{"interval_sums":[335632,320464,309210],"interval_residues":[429,6,548],"display_cycle":[429,6,548],"intervals":[{"from_index":556,"to_index":1212,"sum":335632,"residue":429},{"from_index":1212,"to_index":1868,"sum":320464,"residue":6},{"from_index":1868,"to_index":556,"sum":309210,"residue":548}],"minimal_cycle":[429,6,548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":429,"start_interval_clock_positions":[556,1212],"circle_positions":983,"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":[557,1213,1869],"clock_positions":[557,1213,1869],"native_values":[639,579,748],"rotation_degrees":101.89024390243902,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[639,579,748],"beta":{"interval_sums":[335156,320211,308956],"interval_residues":[936,736,294],"display_cycle":[936,736,294],"intervals":[{"from_index":557,"to_index":1213,"sum":335156,"residue":936},{"from_index":1213,"to_index":1869,"sum":320211,"residue":736},{"from_index":1869,"to_index":557,"sum":308956,"residue":294}],"minimal_cycle":[936,736,294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":936,"start_interval_clock_positions":[557,1213],"circle_positions":983,"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":[558,1214,1870],"clock_positions":[558,1214,1870],"native_values":[150,742,91],"rotation_degrees":102.07317073170732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[150,742,91],"beta":{"interval_sums":[335585,320217,309504],"interval_residues":[382,742,842],"display_cycle":[382,742,842],"intervals":[{"from_index":558,"to_index":1214,"sum":335585,"residue":382},{"from_index":1214,"to_index":1870,"sum":320217,"residue":742},{"from_index":1870,"to_index":558,"sum":309504,"residue":842}],"minimal_cycle":[382,742,842],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[558,1214],"circle_positions":983,"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":[559,1215,1871],"clock_positions":[559,1215,1871],"native_values":[789,338,839],"rotation_degrees":102.2560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[789,338,839],"beta":{"interval_sums":[335538,319970,308815],"interval_residues":[335,495,153],"display_cycle":[335,495,153],"intervals":[{"from_index":559,"to_index":1215,"sum":335538,"residue":335},{"from_index":1215,"to_index":1871,"sum":319970,"residue":495},{"from_index":1871,"to_index":559,"sum":308815,"residue":153}],"minimal_cycle":[335,495,153],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":335,"start_interval_clock_positions":[559,1215],"circle_positions":983,"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":[560,1216,1872],"clock_positions":[560,1216,1872],"native_values":[939,97,930],"rotation_degrees":102.4390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[939,97,930],"beta":{"interval_sums":[334937,320712,308674],"interval_residues":[717,254,12],"display_cycle":[717,254,12],"intervals":[{"from_index":560,"to_index":1216,"sum":334937,"residue":717},{"from_index":1216,"to_index":1872,"sum":320712,"residue":254},{"from_index":1872,"to_index":560,"sum":308674,"residue":12}],"minimal_cycle":[717,254,12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":717,"start_interval_clock_positions":[560,1216],"circle_positions":983,"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":[561,1217,1873],"clock_positions":[561,1217,1873],"native_values":[745,435,786],"rotation_degrees":102.6219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[745,435,786],"beta":{"interval_sums":[334289,321207,308827],"interval_residues":[69,749,165],"display_cycle":[69,749,165],"intervals":[{"from_index":561,"to_index":1217,"sum":334289,"residue":69},{"from_index":1217,"to_index":1873,"sum":321207,"residue":749},{"from_index":1873,"to_index":561,"sum":308827,"residue":165}],"minimal_cycle":[69,749,165],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":69,"start_interval_clock_positions":[561,1217],"circle_positions":983,"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":[562,1218,1874],"clock_positions":[562,1218,1874],"native_values":[701,532,733],"rotation_degrees":102.8048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[701,532,733],"beta":{"interval_sums":[334023,321461,308839],"interval_residues":[786,20,177],"display_cycle":[786,20,177],"intervals":[{"from_index":562,"to_index":1218,"sum":334023,"residue":786},{"from_index":1218,"to_index":1874,"sum":321461,"residue":20},{"from_index":1874,"to_index":562,"sum":308839,"residue":177}],"minimal_cycle":[786,20,177],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":786,"start_interval_clock_positions":[562,1218],"circle_positions":983,"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":[563,1219,1875],"clock_positions":[563,1219,1875],"native_values":[463,967,536],"rotation_degrees":102.98780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[463,967,536],"beta":{"interval_sums":[334092,321227,309004],"interval_residues":[855,769,342],"display_cycle":[855,769,342],"intervals":[{"from_index":563,"to_index":1219,"sum":334092,"residue":855},{"from_index":1219,"to_index":1875,"sum":321227,"residue":769},{"from_index":1875,"to_index":563,"sum":309004,"residue":342}],"minimal_cycle":[855,769,342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":855,"start_interval_clock_positions":[563,1219],"circle_positions":983,"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":[564,1220,1876],"clock_positions":[564,1220,1876],"native_values":[181,516,286],"rotation_degrees":103.17073170731707,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,516,286],"beta":{"interval_sums":[334878,321247,309181],"interval_residues":[658,789,519],"display_cycle":[658,789,519],"intervals":[{"from_index":564,"to_index":1220,"sum":334878,"residue":658},{"from_index":1220,"to_index":1876,"sum":321247,"residue":789},{"from_index":1876,"to_index":564,"sum":309181,"residue":519}],"minimal_cycle":[658,789,519],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":658,"start_interval_clock_positions":[564,1220],"circle_positions":983,"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":[565,1221,1877],"clock_positions":[565,1221,1877],"native_values":[644,500,822],"rotation_degrees":103.35365853658537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[644,500,822],"beta":{"interval_sums":[334750,321033,308540],"interval_residues":[530,575,861],"display_cycle":[530,575,861],"intervals":[{"from_index":565,"to_index":1221,"sum":334750,"residue":530},{"from_index":1221,"to_index":1877,"sum":321033,"residue":575},{"from_index":1877,"to_index":565,"sum":308540,"residue":861}],"minimal_cycle":[530,575,861],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[565,1221],"circle_positions":983,"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":[566,1222,1878],"clock_positions":[566,1222,1878],"native_values":[825,33,125],"rotation_degrees":103.53658536585365,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[825,33,125],"beta":{"interval_sums":[334425,321822,309059],"interval_residues":[205,381,397],"display_cycle":[205,381,397],"intervals":[{"from_index":566,"to_index":1222,"sum":334425,"residue":205},{"from_index":1222,"to_index":1878,"sum":321822,"residue":381},{"from_index":1878,"to_index":566,"sum":309059,"residue":397}],"minimal_cycle":[205,381,397],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":205,"start_interval_clock_positions":[566,1222],"circle_positions":983,"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":[567,1223,1879],"clock_positions":[567,1223,1879],"native_values":[486,533,947],"rotation_degrees":103.71951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[486,533,947],"beta":{"interval_sums":[333972,321414,308937],"interval_residues":[735,956,275],"display_cycle":[735,956,275],"intervals":[{"from_index":567,"to_index":1223,"sum":333972,"residue":735},{"from_index":1223,"to_index":1879,"sum":321414,"residue":956},{"from_index":1879,"to_index":567,"sum":308937,"residue":275}],"minimal_cycle":[735,956,275],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":735,"start_interval_clock_positions":[567,1223],"circle_positions":983,"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":[568,1224,1880],"clock_positions":[568,1224,1880],"native_values":[328,566,89],"rotation_degrees":103.90243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[328,566,89],"beta":{"interval_sums":[334177,321795,309334],"interval_residues":[940,354,672],"display_cycle":[940,354,672],"intervals":[{"from_index":568,"to_index":1224,"sum":334177,"residue":940},{"from_index":1224,"to_index":1880,"sum":321795,"residue":354},{"from_index":1880,"to_index":568,"sum":309334,"residue":672}],"minimal_cycle":[940,354,672],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":940,"start_interval_clock_positions":[568,1224],"circle_positions":983,"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":[569,1225,1881],"clock_positions":[569,1225,1881],"native_values":[814,116,53],"rotation_degrees":104.08536585365853,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[814,116,53],"beta":{"interval_sums":[333929,321768,309609],"interval_residues":[692,327,947],"display_cycle":[692,327,947],"intervals":[{"from_index":569,"to_index":1225,"sum":333929,"residue":692},{"from_index":1225,"to_index":1881,"sum":321768,"residue":327},{"from_index":1881,"to_index":569,"sum":309609,"residue":947}],"minimal_cycle":[692,327,947],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":692,"start_interval_clock_positions":[569,1225],"circle_positions":983,"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":[570,1226,1882],"clock_positions":[570,1226,1882],"native_values":[159,682,142],"rotation_degrees":104.26829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[159,682,142],"beta":{"interval_sums":[333886,321139,310281],"interval_residues":[649,681,636],"display_cycle":[649,681,636],"intervals":[{"from_index":570,"to_index":1226,"sum":333886,"residue":649},{"from_index":1226,"to_index":1882,"sum":321139,"residue":681},{"from_index":1882,"to_index":570,"sum":310281,"residue":636}],"minimal_cycle":[649,681,636],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":649,"start_interval_clock_positions":[570,1226],"circle_positions":983,"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":[571,1227,1883],"clock_positions":[571,1227,1883],"native_values":[973,798,195],"rotation_degrees":104.45121951219512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[973,798,195],"beta":{"interval_sums":[333595,320483,310245],"interval_residues":[358,25,600],"display_cycle":[358,25,600],"intervals":[{"from_index":571,"to_index":1227,"sum":333595,"residue":358},{"from_index":1227,"to_index":1883,"sum":320483,"residue":25},{"from_index":1883,"to_index":571,"sum":310245,"residue":600}],"minimal_cycle":[358,25,600],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":358,"start_interval_clock_positions":[571,1227],"circle_positions":983,"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":[572,1228,1884],"clock_positions":[572,1228,1884],"native_values":[149,497,337],"rotation_degrees":104.63414634146342,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,497,337],"beta":{"interval_sums":[334244,320181,310881],"interval_residues":[24,706,253],"display_cycle":[24,706,253],"intervals":[{"from_index":572,"to_index":1228,"sum":334244,"residue":24},{"from_index":1228,"to_index":1884,"sum":320181,"residue":706},{"from_index":1884,"to_index":572,"sum":310881,"residue":253}],"minimal_cycle":[24,706,253],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":24,"start_interval_clock_positions":[572,1228],"circle_positions":983,"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":[573,1229,1885],"clock_positions":[573,1229,1885],"native_values":[139,312,532],"rotation_degrees":104.8170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[139,312,532],"beta":{"interval_sums":[334602,320206,310498],"interval_residues":[382,731,853],"display_cycle":[382,731,853],"intervals":[{"from_index":573,"to_index":1229,"sum":334602,"residue":382},{"from_index":1229,"to_index":1885,"sum":320206,"residue":731},{"from_index":1885,"to_index":573,"sum":310498,"residue":853}],"minimal_cycle":[382,731,853],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[573,1229],"circle_positions":983,"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":[574,1230,1886],"clock_positions":[574,1230,1886],"native_values":[288,809,869],"rotation_degrees":105.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[288,809,869],"beta":{"interval_sums":[334626,319929,309768],"interval_residues":[406,454,123],"display_cycle":[406,454,123],"intervals":[{"from_index":574,"to_index":1230,"sum":334626,"residue":406},{"from_index":1230,"to_index":1886,"sum":319929,"residue":454},{"from_index":1886,"to_index":574,"sum":309768,"residue":123}],"minimal_cycle":[406,454,123],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[574,1230],"circle_positions":983,"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":[575,1231,1887],"clock_positions":[575,1231,1887],"native_values":[427,138,418],"rotation_degrees":105.1829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[427,138,418],"beta":{"interval_sums":[335008,320660,309638],"interval_residues":[788,202,976],"display_cycle":[788,202,976],"intervals":[{"from_index":575,"to_index":1231,"sum":335008,"residue":788},{"from_index":1231,"to_index":1887,"sum":320660,"residue":202},{"from_index":1887,"to_index":575,"sum":309638,"residue":976}],"minimal_cycle":[788,202,976],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":788,"start_interval_clock_positions":[575,1231],"circle_positions":983,"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":[576,1232,1888],"clock_positions":[576,1232,1888],"native_values":[715,947,304],"rotation_degrees":105.36585365853658,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[715,947,304],"beta":{"interval_sums":[334431,320131,309761],"interval_residues":[211,656,116],"display_cycle":[211,656,116],"intervals":[{"from_index":576,"to_index":1232,"sum":334431,"residue":211},{"from_index":1232,"to_index":1888,"sum":320131,"residue":656},{"from_index":1888,"to_index":576,"sum":309761,"residue":116}],"minimal_cycle":[211,656,116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":211,"start_interval_clock_positions":[576,1232],"circle_positions":983,"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":[577,1233,1889],"clock_positions":[577,1233,1889],"native_values":[159,102,722],"rotation_degrees":105.54878048780488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[159,102,722],"beta":{"interval_sums":[335219,320333,309754],"interval_residues":[16,858,109],"display_cycle":[16,858,109],"intervals":[{"from_index":577,"to_index":1233,"sum":335219,"residue":16},{"from_index":1233,"to_index":1889,"sum":320333,"residue":858},{"from_index":1889,"to_index":577,"sum":309754,"residue":109}],"minimal_cycle":[16,858,109],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[577,1233],"circle_positions":983,"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":[578,1234,1890],"clock_positions":[578,1234,1890],"native_values":[874,66,43],"rotation_degrees":105.73170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[874,66,43],"beta":{"interval_sums":[334447,320989,309870],"interval_residues":[227,531,225],"display_cycle":[227,531,225],"intervals":[{"from_index":578,"to_index":1234,"sum":334447,"residue":227},{"from_index":1234,"to_index":1890,"sum":320989,"residue":531},{"from_index":1890,"to_index":578,"sum":309870,"residue":225}],"minimal_cycle":[227,531,225],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":227,"start_interval_clock_positions":[578,1234],"circle_positions":983,"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":[579,1235,1891],"clock_positions":[579,1235,1891],"native_values":[50,168,765],"rotation_degrees":105.91463414634147,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[50,168,765],"beta":{"interval_sums":[334463,320864,309979],"interval_residues":[243,406,334],"display_cycle":[243,406,334],"intervals":[{"from_index":579,"to_index":1235,"sum":334463,"residue":243},{"from_index":1235,"to_index":1891,"sum":320864,"residue":406},{"from_index":1891,"to_index":579,"sum":309979,"residue":334}],"minimal_cycle":[243,406,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":243,"start_interval_clock_positions":[579,1235],"circle_positions":983,"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":[580,1236,1892],"clock_positions":[580,1236,1892],"native_values":[924,234,808],"rotation_degrees":106.09756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[924,234,808],"beta":{"interval_sums":[333707,321395,309221],"interval_residues":[470,937,559],"display_cycle":[470,937,559],"intervals":[{"from_index":580,"to_index":1236,"sum":333707,"residue":470},{"from_index":1236,"to_index":1892,"sum":321395,"residue":937},{"from_index":1892,"to_index":580,"sum":309221,"residue":559}],"minimal_cycle":[470,937,559],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[580,1236],"circle_positions":983,"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":[581,1237,1893],"clock_positions":[581,1237,1893],"native_values":[974,402,590],"rotation_degrees":106.28048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[974,402,590],"beta":{"interval_sums":[332967,321801,309555],"interval_residues":[713,360,893],"display_cycle":[713,360,893],"intervals":[{"from_index":581,"to_index":1237,"sum":332967,"residue":713},{"from_index":1237,"to_index":1893,"sum":321801,"residue":360},{"from_index":1893,"to_index":581,"sum":309555,"residue":893}],"minimal_cycle":[713,360,893],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":713,"start_interval_clock_positions":[581,1237],"circle_positions":983,"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":[582,1238,1894],"clock_positions":[582,1238,1894],"native_values":[915,636,415],"rotation_degrees":106.46341463414635,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[915,636,415],"beta":{"interval_sums":[332454,321755,310114],"interval_residues":[200,314,469],"display_cycle":[200,314,469],"intervals":[{"from_index":582,"to_index":1238,"sum":332454,"residue":200},{"from_index":1238,"to_index":1894,"sum":321755,"residue":314},{"from_index":1894,"to_index":582,"sum":310114,"residue":469}],"minimal_cycle":[200,314,469],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[582,1238],"circle_positions":983,"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":[583,1239,1895],"clock_positions":[583,1239,1895],"native_values":[906,55,22],"rotation_degrees":106.64634146341463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[906,55,22],"beta":{"interval_sums":[332184,322115,311007],"interval_residues":[913,674,379],"display_cycle":[913,674,379],"intervals":[{"from_index":583,"to_index":1239,"sum":332184,"residue":913},{"from_index":1239,"to_index":1895,"sum":322115,"residue":674},{"from_index":1895,"to_index":583,"sum":311007,"residue":379}],"minimal_cycle":[913,674,379],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":913,"start_interval_clock_positions":[583,1239],"circle_positions":983,"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":[584,1240,1896],"clock_positions":[584,1240,1896],"native_values":[838,691,437],"rotation_degrees":106.82926829268293,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[838,691,437],"beta":{"interval_sums":[331401,321446,311476],"interval_residues":[130,5,848],"display_cycle":[130,5,848],"intervals":[{"from_index":584,"to_index":1240,"sum":331401,"residue":130},{"from_index":1240,"to_index":1896,"sum":321446,"residue":5},{"from_index":1896,"to_index":584,"sum":311476,"residue":848}],"minimal_cycle":[130,5,848],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[584,1240],"circle_positions":983,"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":[585,1241,1897],"clock_positions":[585,1241,1897],"native_values":[761,746,459],"rotation_degrees":107.01219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[761,746,459],"beta":{"interval_sums":[331331,321137,311855],"interval_residues":[60,679,244],"display_cycle":[60,679,244],"intervals":[{"from_index":585,"to_index":1241,"sum":331331,"residue":60},{"from_index":1241,"to_index":1897,"sum":321137,"residue":679},{"from_index":1897,"to_index":585,"sum":311855,"residue":244}],"minimal_cycle":[60,679,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[585,1241],"circle_positions":983,"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":[586,1242,1898],"clock_positions":[586,1242,1898],"native_values":[616,454,896],"rotation_degrees":107.1951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[616,454,896],"beta":{"interval_sums":[331461,321142,311720],"interval_residues":[190,684,109],"display_cycle":[190,684,109],"intervals":[{"from_index":586,"to_index":1242,"sum":331461,"residue":190},{"from_index":1242,"to_index":1898,"sum":321142,"residue":684},{"from_index":1898,"to_index":586,"sum":311720,"residue":109}],"minimal_cycle":[190,684,109],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":190,"start_interval_clock_positions":[586,1242],"circle_positions":983,"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":[587,1243,1899],"clock_positions":[587,1243,1899],"native_values":[394,217,372],"rotation_degrees":107.3780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[394,217,372],"beta":{"interval_sums":[331521,321821,311964],"interval_residues":[250,380,353],"display_cycle":[250,380,353],"intervals":[{"from_index":587,"to_index":1243,"sum":331521,"residue":250},{"from_index":1243,"to_index":1899,"sum":321821,"residue":380},{"from_index":1899,"to_index":587,"sum":311964,"residue":353}],"minimal_cycle":[250,380,353],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":250,"start_interval_clock_positions":[587,1243],"circle_positions":983,"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":[588,1244,1900],"clock_positions":[588,1244,1900],"native_values":[27,671,285],"rotation_degrees":107.5609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,671,285],"beta":{"interval_sums":[331711,321522,312073],"interval_residues":[440,81,462],"display_cycle":[440,81,462],"intervals":[{"from_index":588,"to_index":1244,"sum":331711,"residue":440},{"from_index":1244,"to_index":1900,"sum":321522,"residue":81},{"from_index":1900,"to_index":588,"sum":312073,"residue":462}],"minimal_cycle":[440,81,462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[588,1244],"circle_positions":983,"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":[589,1245,1901],"clock_positions":[589,1245,1901],"native_values":[421,888,657],"rotation_degrees":107.7439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[421,888,657],"beta":{"interval_sums":[331961,320919,311443],"interval_residues":[690,461,815],"display_cycle":[690,461,815],"intervals":[{"from_index":589,"to_index":1245,"sum":331961,"residue":690},{"from_index":1245,"to_index":1901,"sum":320919,"residue":461},{"from_index":1901,"to_index":589,"sum":311443,"residue":815}],"minimal_cycle":[690,461,815],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":690,"start_interval_clock_positions":[589,1245],"circle_positions":983,"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":[590,1246,1902],"clock_positions":[590,1246,1902],"native_values":[448,576,942],"rotation_degrees":107.92682926829268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[448,576,942],"beta":{"interval_sums":[332401,321000,310922],"interval_residues":[147,542,294],"display_cycle":[147,542,294],"intervals":[{"from_index":590,"to_index":1246,"sum":332401,"residue":147},{"from_index":1246,"to_index":1902,"sum":321000,"residue":542},{"from_index":1902,"to_index":590,"sum":310922,"residue":294}],"minimal_cycle":[147,542,294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":147,"start_interval_clock_positions":[590,1246],"circle_positions":983,"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":[591,1247,1903],"clock_positions":[591,1247,1903],"native_values":[869,481,616],"rotation_degrees":108.10975609756098,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[869,481,616],"beta":{"interval_sums":[332108,321461,310754],"interval_residues":[837,20,126],"display_cycle":[837,20,126],"intervals":[{"from_index":591,"to_index":1247,"sum":332108,"residue":837},{"from_index":1247,"to_index":1903,"sum":321461,"residue":20},{"from_index":1903,"to_index":591,"sum":310754,"residue":126}],"minimal_cycle":[837,20,126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":837,"start_interval_clock_positions":[591,1247],"circle_positions":983,"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":[592,1248,1904],"clock_positions":[592,1248,1904],"native_values":[334,74,575],"rotation_degrees":108.29268292682927,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[334,74,575],"beta":{"interval_sums":[332255,322003,311048],"interval_residues":[1,562,420],"display_cycle":[1,562,420],"intervals":[{"from_index":592,"to_index":1248,"sum":332255,"residue":1},{"from_index":1248,"to_index":1904,"sum":322003,"residue":562},{"from_index":1904,"to_index":592,"sum":311048,"residue":420}],"minimal_cycle":[1,562,420],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[592,1248],"circle_positions":983,"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":[593,1249,1905],"clock_positions":[593,1249,1905],"native_values":[220,555,208],"rotation_degrees":108.47560975609755,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[220,555,208],"beta":{"interval_sums":[332109,322023,311174],"interval_residues":[838,582,546],"display_cycle":[838,582,546],"intervals":[{"from_index":593,"to_index":1249,"sum":332109,"residue":838},{"from_index":1249,"to_index":1905,"sum":322023,"residue":582},{"from_index":1905,"to_index":593,"sum":311174,"residue":546}],"minimal_cycle":[838,582,546],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":838,"start_interval_clock_positions":[593,1249],"circle_positions":983,"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":[594,1250,1906],"clock_positions":[594,1250,1906],"native_values":[554,629,783],"rotation_degrees":108.65853658536585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[554,629,783],"beta":{"interval_sums":[332110,321602,310611],"interval_residues":[839,161,966],"display_cycle":[839,161,966],"intervals":[{"from_index":594,"to_index":1250,"sum":332110,"residue":839},{"from_index":1250,"to_index":1906,"sum":321602,"residue":161},{"from_index":1906,"to_index":594,"sum":310611,"residue":966}],"minimal_cycle":[839,161,966],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":839,"start_interval_clock_positions":[594,1250],"circle_positions":983,"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":[595,1251,1907],"clock_positions":[595,1251,1907],"native_values":[774,201,8],"rotation_degrees":108.84146341463415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[774,201,8],"beta":{"interval_sums":[331965,322184,311157],"interval_residues":[694,743,529],"display_cycle":[694,743,529],"intervals":[{"from_index":595,"to_index":1251,"sum":331965,"residue":694},{"from_index":1251,"to_index":1907,"sum":322184,"residue":743},{"from_index":1907,"to_index":595,"sum":311157,"residue":529}],"minimal_cycle":[694,743,529],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":694,"start_interval_clock_positions":[595,1251],"circle_positions":983,"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":[596,1252,1908],"clock_positions":[596,1252,1908],"native_values":[345,830,791],"rotation_degrees":109.02439024390245,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,830,791],"beta":{"interval_sums":[331821,321362,311140],"interval_residues":[550,904,512],"display_cycle":[550,904,512],"intervals":[{"from_index":596,"to_index":1252,"sum":331821,"residue":550},{"from_index":1252,"to_index":1908,"sum":321362,"residue":904},{"from_index":1908,"to_index":596,"sum":311140,"residue":512}],"minimal_cycle":[550,904,512],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":550,"start_interval_clock_positions":[596,1252],"circle_positions":983,"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":[597,1253,1909],"clock_positions":[597,1253,1909],"native_values":[136,48,799],"rotation_degrees":109.20731707317073,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[136,48,799],"beta":{"interval_sums":[332515,322105,310686],"interval_residues":[261,664,58],"display_cycle":[261,664,58],"intervals":[{"from_index":597,"to_index":1253,"sum":332515,"residue":261},{"from_index":1253,"to_index":1909,"sum":322105,"residue":664},{"from_index":1909,"to_index":597,"sum":310686,"residue":58}],"minimal_cycle":[261,664,58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":261,"start_interval_clock_positions":[597,1253],"circle_positions":983,"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":[598,1254,1910],"clock_positions":[598,1254,1910],"native_values":[481,878,607],"rotation_degrees":109.39024390243902,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[481,878,607],"beta":{"interval_sums":[332082,322026,310215],"interval_residues":[811,585,570],"display_cycle":[811,585,570],"intervals":[{"from_index":598,"to_index":1254,"sum":332082,"residue":811},{"from_index":1254,"to_index":1910,"sum":322026,"residue":585},{"from_index":1910,"to_index":598,"sum":310215,"residue":570}],"minimal_cycle":[811,585,570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":811,"start_interval_clock_positions":[598,1254],"circle_positions":983,"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":[599,1255,1911],"clock_positions":[599,1255,1911],"native_values":[617,926,423],"rotation_degrees":109.57317073170732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[617,926,423],"beta":{"interval_sums":[332343,321707,310273],"interval_residues":[89,266,628],"display_cycle":[89,266,628],"intervals":[{"from_index":599,"to_index":1255,"sum":332343,"residue":89},{"from_index":1255,"to_index":1911,"sum":321707,"residue":266},{"from_index":1911,"to_index":599,"sum":310273,"residue":628}],"minimal_cycle":[89,266,628],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[599,1255],"circle_positions":983,"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":[600,1256,1912],"clock_positions":[600,1256,1912],"native_values":[115,821,47],"rotation_degrees":109.7560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,821,47],"beta":{"interval_sums":[333154,321309,310843],"interval_residues":[900,851,215],"display_cycle":[900,851,215],"intervals":[{"from_index":600,"to_index":1256,"sum":333154,"residue":900},{"from_index":1256,"to_index":1912,"sum":321309,"residue":851},{"from_index":1912,"to_index":600,"sum":310843,"residue":215}],"minimal_cycle":[900,851,215],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":900,"start_interval_clock_positions":[600,1256],"circle_positions":983,"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":[601,1257,1913],"clock_positions":[601,1257,1913],"native_values":[732,764,470],"rotation_degrees":109.9390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[732,764,470],"beta":{"interval_sums":[333243,320592,310488],"interval_residues":[6,134,843],"display_cycle":[6,134,843],"intervals":[{"from_index":601,"to_index":1257,"sum":333243,"residue":6},{"from_index":1257,"to_index":1913,"sum":320592,"residue":134},{"from_index":1913,"to_index":601,"sum":310488,"residue":843}],"minimal_cycle":[6,134,843],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[601,1257],"circle_positions":983,"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":[602,1258,1914],"clock_positions":[602,1258,1914],"native_values":[847,602,517],"rotation_degrees":110.1219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[847,602,517],"beta":{"interval_sums":[333160,320460,310703],"interval_residues":[906,2,75],"display_cycle":[906,2,75],"intervals":[{"from_index":602,"to_index":1258,"sum":333160,"residue":906},{"from_index":1258,"to_index":1914,"sum":320460,"residue":2},{"from_index":1914,"to_index":602,"sum":310703,"residue":75}],"minimal_cycle":[906,2,75],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":906,"start_interval_clock_positions":[602,1258],"circle_positions":983,"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":[603,1259,1915],"clock_positions":[603,1259,1915],"native_values":[596,383,4],"rotation_degrees":110.3048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[596,383,4],"beta":{"interval_sums":[333166,320594,311546],"interval_residues":[912,136,918],"display_cycle":[912,136,918],"intervals":[{"from_index":603,"to_index":1259,"sum":333166,"residue":912},{"from_index":1259,"to_index":1915,"sum":320594,"residue":136},{"from_index":1915,"to_index":603,"sum":311546,"residue":918}],"minimal_cycle":[912,136,918],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":912,"start_interval_clock_positions":[603,1259],"circle_positions":983,"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":[604,1260,1916],"clock_positions":[604,1260,1916],"native_values":[460,2,521],"rotation_degrees":110.48780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[460,2,521],"beta":{"interval_sums":[333089,320596,311621],"interval_residues":[835,138,10],"display_cycle":[835,138,10],"intervals":[{"from_index":604,"to_index":1260,"sum":333089,"residue":835},{"from_index":1260,"to_index":1916,"sum":320596,"residue":138},{"from_index":1916,"to_index":604,"sum":311621,"residue":10}],"minimal_cycle":[835,138,10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":835,"start_interval_clock_positions":[604,1260],"circle_positions":983,"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":[605,1261,1917],"clock_positions":[605,1261,1917],"native_values":[73,385,525],"rotation_degrees":110.67073170731707,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,385,525],"beta":{"interval_sums":[333018,320732,311556],"interval_residues":[764,274,928],"display_cycle":[764,274,928],"intervals":[{"from_index":605,"to_index":1261,"sum":333018,"residue":764},{"from_index":1261,"to_index":1917,"sum":320732,"residue":274},{"from_index":1917,"to_index":605,"sum":311556,"residue":928}],"minimal_cycle":[764,274,928],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":764,"start_interval_clock_positions":[605,1261],"circle_positions":983,"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":[606,1262,1918],"clock_positions":[606,1262,1918],"native_values":[533,387,63],"rotation_degrees":110.85365853658537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[533,387,63],"beta":{"interval_sums":[332870,320870,311566],"interval_residues":[616,412,938],"display_cycle":[616,412,938],"intervals":[{"from_index":606,"to_index":1262,"sum":332870,"residue":616},{"from_index":1262,"to_index":1918,"sum":320870,"residue":412},{"from_index":1918,"to_index":606,"sum":311566,"residue":938}],"minimal_cycle":[616,412,938],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":616,"start_interval_clock_positions":[606,1262],"circle_positions":983,"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":[607,1263,1919],"clock_positions":[607,1263,1919],"native_values":[606,772,588],"rotation_degrees":111.03658536585365,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[606,772,588],"beta":{"interval_sums":[332651,320161,311511],"interval_residues":[397,686,883],"display_cycle":[397,686,883],"intervals":[{"from_index":607,"to_index":1263,"sum":332651,"residue":397},{"from_index":1263,"to_index":1919,"sum":320161,"residue":686},{"from_index":1919,"to_index":607,"sum":311511,"residue":883}],"minimal_cycle":[397,686,883],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":397,"start_interval_clock_positions":[607,1263],"circle_positions":983,"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":[608,1264,1920],"clock_positions":[608,1264,1920],"native_values":[156,176,651],"rotation_degrees":111.21951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[156,176,651],"beta":{"interval_sums":[333267,320573,311466],"interval_residues":[30,115,838],"display_cycle":[30,115,838],"intervals":[{"from_index":608,"to_index":1264,"sum":333267,"residue":30},{"from_index":1264,"to_index":1920,"sum":320573,"residue":115},{"from_index":1920,"to_index":608,"sum":311466,"residue":838}],"minimal_cycle":[30,115,838],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[608,1264],"circle_positions":983,"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":[609,1265,1921],"clock_positions":[609,1265,1921],"native_values":[762,948,256],"rotation_degrees":111.40243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[762,948,256],"beta":{"interval_sums":[332681,320276,311366],"interval_residues":[427,801,738],"display_cycle":[427,801,738],"intervals":[{"from_index":609,"to_index":1265,"sum":332681,"residue":427},{"from_index":1265,"to_index":1921,"sum":320276,"residue":801},{"from_index":1921,"to_index":609,"sum":311366,"residue":738}],"minimal_cycle":[427,801,738],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":427,"start_interval_clock_positions":[609,1265],"circle_positions":983,"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":[610,1266,1922],"clock_positions":[610,1266,1922],"native_values":[918,141,907],"rotation_degrees":111.58536585365853,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[918,141,907],"beta":{"interval_sums":[332711,320391,311221],"interval_residues":[457,916,593],"display_cycle":[457,916,593],"intervals":[{"from_index":610,"to_index":1266,"sum":332711,"residue":457},{"from_index":1266,"to_index":1922,"sum":320391,"residue":916},{"from_index":1922,"to_index":610,"sum":311221,"residue":593}],"minimal_cycle":[457,916,593],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":457,"start_interval_clock_positions":[610,1266],"circle_positions":983,"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":[611,1267,1923],"clock_positions":[611,1267,1923],"native_values":[697,106,180],"rotation_degrees":111.76829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[697,106,180],"beta":{"interval_sums":[332155,321192,311959],"interval_residues":[884,734,348],"display_cycle":[884,734,348],"intervals":[{"from_index":611,"to_index":1267,"sum":332155,"residue":884},{"from_index":1267,"to_index":1923,"sum":321192,"residue":734},{"from_index":1923,"to_index":611,"sum":311959,"residue":348}],"minimal_cycle":[884,734,348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":884,"start_interval_clock_positions":[611,1267],"circle_positions":983,"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":[612,1268,1924],"clock_positions":[612,1268,1924],"native_values":[632,247,104],"rotation_degrees":111.95121951219512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[632,247,104],"beta":{"interval_sums":[331629,321125,312552],"interval_residues":[358,667,941],"display_cycle":[358,667,941],"intervals":[{"from_index":612,"to_index":1268,"sum":331629,"residue":358},{"from_index":1268,"to_index":1924,"sum":321125,"residue":667},{"from_index":1924,"to_index":612,"sum":312552,"residue":941}],"minimal_cycle":[358,667,941],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":358,"start_interval_clock_positions":[612,1268],"circle_positions":983,"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":[613,1269,1925],"clock_positions":[613,1269,1925],"native_values":[346,353,284],"rotation_degrees":112.13414634146342,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[346,353,284],"beta":{"interval_sums":[331530,320876,312900],"interval_residues":[259,418,306],"display_cycle":[259,418,306],"intervals":[{"from_index":613,"to_index":1269,"sum":331530,"residue":259},{"from_index":1269,"to_index":1925,"sum":320876,"residue":418},{"from_index":1925,"to_index":613,"sum":312900,"residue":306}],"minimal_cycle":[259,418,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":259,"start_interval_clock_positions":[613,1269],"circle_positions":983,"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":[614,1270,1926],"clock_positions":[614,1270,1926],"native_values":[978,600,388],"rotation_degrees":112.3170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[978,600,388],"beta":{"interval_sums":[330905,320560,312858],"interval_residues":[617,102,264],"display_cycle":[617,102,264],"intervals":[{"from_index":614,"to_index":1270,"sum":330905,"residue":617},{"from_index":1270,"to_index":1926,"sum":320560,"residue":102},{"from_index":1926,"to_index":614,"sum":312858,"residue":264}],"minimal_cycle":[617,102,264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":617,"start_interval_clock_positions":[614,1270],"circle_positions":983,"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":[615,1271,1927],"clock_positions":[615,1271,1927],"native_values":[341,953,672],"rotation_degrees":112.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,953,672],"beta":{"interval_sums":[331164,319995,313164],"interval_residues":[876,520,570],"display_cycle":[876,520,570],"intervals":[{"from_index":615,"to_index":1271,"sum":331164,"residue":876},{"from_index":1271,"to_index":1927,"sum":319995,"residue":520},{"from_index":1927,"to_index":615,"sum":313164,"residue":570}],"minimal_cycle":[876,520,570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":876,"start_interval_clock_positions":[615,1271],"circle_positions":983,"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":[616,1272,1928],"clock_positions":[616,1272,1928],"native_values":[336,570,77],"rotation_degrees":112.6829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[336,570,77],"beta":{"interval_sums":[331781,320097,313428],"interval_residues":[510,622,834],"display_cycle":[510,622,834],"intervals":[{"from_index":616,"to_index":1272,"sum":331781,"residue":510},{"from_index":1272,"to_index":1928,"sum":320097,"residue":622},{"from_index":1928,"to_index":616,"sum":313428,"residue":834}],"minimal_cycle":[510,622,834],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[616,1272],"circle_positions":983,"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":[617,1273,1929],"clock_positions":[617,1273,1929],"native_values":[677,540,749],"rotation_degrees":112.86585365853658,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[677,540,749],"beta":{"interval_sums":[331674,319634,313015],"interval_residues":[403,159,421],"display_cycle":[403,159,421],"intervals":[{"from_index":617,"to_index":1273,"sum":331674,"residue":403},{"from_index":1273,"to_index":1929,"sum":319634,"residue":159},{"from_index":1929,"to_index":617,"sum":313015,"residue":421}],"minimal_cycle":[403,159,421],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":403,"start_interval_clock_positions":[617,1273],"circle_positions":983,"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":[618,1274,1930],"clock_positions":[618,1274,1930],"native_values":[30,127,826],"rotation_degrees":113.04878048780488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[30,127,826],"beta":{"interval_sums":[332184,320256,312866],"interval_residues":[913,781,272],"display_cycle":[913,781,272],"intervals":[{"from_index":618,"to_index":1274,"sum":332184,"residue":913},{"from_index":1274,"to_index":1930,"sum":320256,"residue":781},{"from_index":1930,"to_index":618,"sum":312866,"residue":272}],"minimal_cycle":[913,781,272],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":913,"start_interval_clock_positions":[618,1274],"circle_positions":983,"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":[619,1275,1931],"clock_positions":[619,1275,1931],"native_values":[707,667,592],"rotation_degrees":113.23170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[707,667,592],"beta":{"interval_sums":[331604,320415,312304],"interval_residues":[333,940,693],"display_cycle":[333,940,693],"intervals":[{"from_index":619,"to_index":1275,"sum":331604,"residue":333},{"from_index":1275,"to_index":1931,"sum":320415,"residue":940},{"from_index":1931,"to_index":619,"sum":312304,"residue":693}],"minimal_cycle":[333,940,693],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":333,"start_interval_clock_positions":[619,1275],"circle_positions":983,"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":[620,1276,1932],"clock_positions":[620,1276,1932],"native_values":[737,794,435],"rotation_degrees":113.41463414634147,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[737,794,435],"beta":{"interval_sums":[331534,320213,312576],"interval_residues":[263,738,965],"display_cycle":[263,738,965],"intervals":[{"from_index":620,"to_index":1276,"sum":331534,"residue":263},{"from_index":1276,"to_index":1932,"sum":320213,"residue":738},{"from_index":1932,"to_index":620,"sum":312576,"residue":965}],"minimal_cycle":[263,738,965],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":263,"start_interval_clock_positions":[620,1276],"circle_positions":983,"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":[621,1277,1933],"clock_positions":[621,1277,1933],"native_values":[461,478,44],"rotation_degrees":113.59756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,478,44],"beta":{"interval_sums":[331867,320170,313269],"interval_residues":[596,695,675],"display_cycle":[596,695,675],"intervals":[{"from_index":621,"to_index":1277,"sum":331867,"residue":596},{"from_index":1277,"to_index":1933,"sum":320170,"residue":695},{"from_index":1933,"to_index":621,"sum":313269,"residue":675}],"minimal_cycle":[596,695,675],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":596,"start_interval_clock_positions":[621,1277],"circle_positions":983,"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":[622,1278,1934],"clock_positions":[622,1278,1934],"native_values":[215,289,479],"rotation_degrees":113.78048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[215,289,479],"beta":{"interval_sums":[332130,319925,313251],"interval_residues":[859,450,657],"display_cycle":[859,450,657],"intervals":[{"from_index":622,"to_index":1278,"sum":332130,"residue":859},{"from_index":1278,"to_index":1934,"sum":319925,"residue":450},{"from_index":1934,"to_index":622,"sum":313251,"residue":657}],"minimal_cycle":[859,450,657],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":859,"start_interval_clock_positions":[622,1278],"circle_positions":983,"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":[623,1279,1935],"clock_positions":[623,1279,1935],"native_values":[676,767,523],"rotation_degrees":113.96341463414635,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[676,767,523],"beta":{"interval_sums":[331743,319637,312943],"interval_residues":[472,162,349],"display_cycle":[472,162,349],"intervals":[{"from_index":623,"to_index":1279,"sum":331743,"residue":472},{"from_index":1279,"to_index":1935,"sum":319637,"residue":162},{"from_index":1935,"to_index":623,"sum":312943,"residue":349}],"minimal_cycle":[472,162,349],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":472,"start_interval_clock_positions":[623,1279],"circle_positions":983,"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":[624,1280,1936],"clock_positions":[624,1280,1936],"native_values":[891,73,19],"rotation_degrees":114.14634146341463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[891,73,19],"beta":{"interval_sums":[331619,320087,313600],"interval_residues":[348,612,23],"display_cycle":[348,612,23],"intervals":[{"from_index":624,"to_index":1280,"sum":331619,"residue":348},{"from_index":1280,"to_index":1936,"sum":320087,"residue":612},{"from_index":1936,"to_index":624,"sum":313600,"residue":23}],"minimal_cycle":[348,612,23],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[624,1280],"circle_positions":983,"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":[625,1281,1937],"clock_positions":[625,1281,1937],"native_values":[584,840,542],"rotation_degrees":114.32926829268293,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[584,840,542],"beta":{"interval_sums":[331108,319266,313949],"interval_residues":[820,774,372],"display_cycle":[820,774,372],"intervals":[{"from_index":625,"to_index":1281,"sum":331108,"residue":820},{"from_index":1281,"to_index":1937,"sum":319266,"residue":774},{"from_index":1937,"to_index":625,"sum":313949,"residue":372}],"minimal_cycle":[820,774,372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":820,"start_interval_clock_positions":[625,1281],"circle_positions":983,"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":[626,1282,1938],"clock_positions":[626,1282,1938],"native_values":[492,913,561],"rotation_degrees":114.51219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,913,561],"beta":{"interval_sums":[331456,318895,313972],"interval_residues":[185,403,395],"display_cycle":[185,403,395],"intervals":[{"from_index":626,"to_index":1282,"sum":331456,"residue":185},{"from_index":1282,"to_index":1938,"sum":318895,"residue":403},{"from_index":1938,"to_index":626,"sum":313972,"residue":395}],"minimal_cycle":[185,403,395],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":185,"start_interval_clock_positions":[626,1282],"circle_positions":983,"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":[627,1283,1939],"clock_positions":[627,1283,1939],"native_values":[93,770,120],"rotation_degrees":114.6951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,770,120],"beta":{"interval_sums":[332276,318686,314344],"interval_residues":[22,194,767],"display_cycle":[22,194,767],"intervals":[{"from_index":627,"to_index":1283,"sum":332276,"residue":22},{"from_index":1283,"to_index":1939,"sum":318686,"residue":194},{"from_index":1939,"to_index":627,"sum":314344,"residue":767}],"minimal_cycle":[22,194,767],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":22,"start_interval_clock_positions":[627,1283],"circle_positions":983,"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":[628,1284,1940],"clock_positions":[628,1284,1940],"native_values":[585,700,681],"rotation_degrees":114.8780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[585,700,681],"beta":{"interval_sums":[332461,318106,313756],"interval_residues":[207,597,179],"display_cycle":[207,597,179],"intervals":[{"from_index":628,"to_index":1284,"sum":332461,"residue":207},{"from_index":1284,"to_index":1940,"sum":318106,"residue":597},{"from_index":1940,"to_index":628,"sum":313756,"residue":179}],"minimal_cycle":[207,597,179],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":207,"start_interval_clock_positions":[628,1284],"circle_positions":983,"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":[629,1285,1941],"clock_positions":[629,1285,1941],"native_values":[678,487,801],"rotation_degrees":115.0609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[678,487,801],"beta":{"interval_sums":[332483,318300,313540],"interval_residues":[229,791,946],"display_cycle":[229,791,946],"intervals":[{"from_index":629,"to_index":1285,"sum":332483,"residue":229},{"from_index":1285,"to_index":1941,"sum":318300,"residue":791},{"from_index":1941,"to_index":629,"sum":313540,"residue":946}],"minimal_cycle":[229,791,946],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":229,"start_interval_clock_positions":[629,1285],"circle_positions":983,"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":[630,1286,1942],"clock_positions":[630,1286,1942],"native_values":[280,204,499],"rotation_degrees":115.2439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[280,204,499],"beta":{"interval_sums":[332690,318897,313719],"interval_residues":[436,405,142],"display_cycle":[436,405,142],"intervals":[{"from_index":630,"to_index":1286,"sum":332690,"residue":436},{"from_index":1286,"to_index":1942,"sum":318897,"residue":405},{"from_index":1942,"to_index":630,"sum":313719,"residue":142}],"minimal_cycle":[436,405,142],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[630,1286],"circle_positions":983,"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":[631,1287,1943],"clock_positions":[631,1287,1943],"native_values":[958,691,317],"rotation_degrees":115.42682926829268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[958,691,317],"beta":{"interval_sums":[331936,318705,313682],"interval_residues":[665,213,105],"display_cycle":[665,213,105],"intervals":[{"from_index":631,"to_index":1287,"sum":331936,"residue":665},{"from_index":1287,"to_index":1943,"sum":318705,"residue":213},{"from_index":1943,"to_index":631,"sum":313682,"residue":105}],"minimal_cycle":[665,213,105],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":665,"start_interval_clock_positions":[631,1287],"circle_positions":983,"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":[632,1288,1944],"clock_positions":[632,1288,1944],"native_values":[255,895,816],"rotation_degrees":115.60975609756098,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[255,895,816],"beta":{"interval_sums":[332372,318127,313824],"interval_residues":[118,618,247],"display_cycle":[118,618,247],"intervals":[{"from_index":632,"to_index":1288,"sum":332372,"residue":118},{"from_index":1288,"to_index":1944,"sum":318127,"residue":618},{"from_index":1944,"to_index":632,"sum":313824,"residue":247}],"minimal_cycle":[118,618,247],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":118,"start_interval_clock_positions":[632,1288],"circle_positions":983,"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":[633,1289,1945],"clock_positions":[633,1289,1945],"native_values":[230,603,150],"rotation_degrees":115.79268292682927,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[230,603,150],"beta":{"interval_sums":[333037,318340,313929],"interval_residues":[783,831,352],"display_cycle":[783,831,352],"intervals":[{"from_index":633,"to_index":1289,"sum":333037,"residue":783},{"from_index":1289,"to_index":1945,"sum":318340,"residue":831},{"from_index":1945,"to_index":633,"sum":313929,"residue":352}],"minimal_cycle":[783,831,352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":783,"start_interval_clock_positions":[633,1289],"circle_positions":983,"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":[634,1290,1946],"clock_positions":[634,1290,1946],"native_values":[485,515,966],"rotation_degrees":115.97560975609755,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,515,966],"beta":{"interval_sums":[333155,317975,313193],"interval_residues":[901,466,599],"display_cycle":[901,466,599],"intervals":[{"from_index":634,"to_index":1290,"sum":333155,"residue":901},{"from_index":1290,"to_index":1946,"sum":317975,"residue":466},{"from_index":1946,"to_index":634,"sum":313193,"residue":599}],"minimal_cycle":[901,466,599],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":901,"start_interval_clock_positions":[634,1290],"circle_positions":983,"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":[635,1291,1947],"clock_positions":[635,1291,1947],"native_values":[715,135,133],"rotation_degrees":116.15853658536585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[715,135,133],"beta":{"interval_sums":[332955,318806,313545],"interval_residues":[701,314,951],"display_cycle":[701,314,951],"intervals":[{"from_index":635,"to_index":1291,"sum":332955,"residue":701},{"from_index":1291,"to_index":1947,"sum":318806,"residue":314},{"from_index":1947,"to_index":635,"sum":313545,"residue":951}],"minimal_cycle":[701,314,951],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":701,"start_interval_clock_positions":[635,1291],"circle_positions":983,"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":[636,1292,1948],"clock_positions":[636,1292,1948],"native_values":[217,650,116],"rotation_degrees":116.34146341463415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[217,650,116],"beta":{"interval_sums":[332873,318289,314144],"interval_residues":[619,780,567],"display_cycle":[619,780,567],"intervals":[{"from_index":636,"to_index":1292,"sum":332873,"residue":619},{"from_index":1292,"to_index":1948,"sum":318289,"residue":780},{"from_index":1948,"to_index":636,"sum":314144,"residue":567}],"minimal_cycle":[619,780,567],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":619,"start_interval_clock_positions":[636,1292],"circle_positions":983,"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":[637,1293,1949],"clock_positions":[637,1293,1949],"native_values":[932,785,249],"rotation_degrees":116.52439024390245,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[932,785,249],"beta":{"interval_sums":[332591,317620,314112],"interval_residues":[337,111,535],"display_cycle":[337,111,535],"intervals":[{"from_index":637,"to_index":1293,"sum":332591,"residue":337},{"from_index":1293,"to_index":1949,"sum":317620,"residue":111},{"from_index":1949,"to_index":637,"sum":314112,"residue":535}],"minimal_cycle":[337,111,535],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":337,"start_interval_clock_positions":[637,1293],"circle_positions":983,"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":[638,1294,1950],"clock_positions":[638,1294,1950],"native_values":[166,452,365],"rotation_degrees":116.70731707317073,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[166,452,365],"beta":{"interval_sums":[333210,317417,314679],"interval_residues":[956,891,119],"display_cycle":[956,891,119],"intervals":[{"from_index":638,"to_index":1294,"sum":333210,"residue":956},{"from_index":1294,"to_index":1950,"sum":317417,"residue":891},{"from_index":1950,"to_index":638,"sum":314679,"residue":119}],"minimal_cycle":[956,891,119],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":956,"start_interval_clock_positions":[638,1294],"circle_positions":983,"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":[639,1295,1951],"clock_positions":[639,1295,1951],"native_values":[115,254,614],"rotation_degrees":116.89024390243902,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,254,614],"beta":{"interval_sums":[333547,317528,314231],"interval_residues":[310,19,654],"display_cycle":[310,19,654],"intervals":[{"from_index":639,"to_index":1295,"sum":333547,"residue":310},{"from_index":1295,"to_index":1951,"sum":317528,"residue":19},{"from_index":1951,"to_index":639,"sum":314231,"residue":654}],"minimal_cycle":[310,19,654],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":310,"start_interval_clock_positions":[639,1295],"circle_positions":983,"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":[640,1296,1952],"clock_positions":[640,1296,1952],"native_values":[281,706,979],"rotation_degrees":117.07317073170732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[281,706,979],"beta":{"interval_sums":[333520,317436,313367],"interval_residues":[283,910,773],"display_cycle":[283,910,773],"intervals":[{"from_index":640,"to_index":1296,"sum":333520,"residue":283},{"from_index":1296,"to_index":1952,"sum":317436,"residue":910},{"from_index":1952,"to_index":640,"sum":313367,"residue":773}],"minimal_cycle":[283,910,773],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":283,"start_interval_clock_positions":[640,1296],"circle_positions":983,"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":[641,1297,1953],"clock_positions":[641,1297,1953],"native_values":[396,960,610],"rotation_degrees":117.2560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[396,960,610],"beta":{"interval_sums":[333830,317455,313038],"interval_residues":[593,929,444],"display_cycle":[593,929,444],"intervals":[{"from_index":641,"to_index":1297,"sum":333830,"residue":593},{"from_index":1297,"to_index":1953,"sum":317455,"residue":929},{"from_index":1953,"to_index":641,"sum":313038,"residue":444}],"minimal_cycle":[593,929,444],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":593,"start_interval_clock_positions":[641,1297],"circle_positions":983,"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":[642,1298,1954],"clock_positions":[642,1298,1954],"native_values":[677,683,606],"rotation_degrees":117.4390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[677,683,606],"beta":{"interval_sums":[334113,317382,312828],"interval_residues":[876,856,234],"display_cycle":[876,856,234],"intervals":[{"from_index":642,"to_index":1298,"sum":334113,"residue":876},{"from_index":1298,"to_index":1954,"sum":317382,"residue":856},{"from_index":1954,"to_index":642,"sum":312828,"residue":234}],"minimal_cycle":[876,856,234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":876,"start_interval_clock_positions":[642,1298],"circle_positions":983,"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":[643,1299,1955],"clock_positions":[643,1299,1955],"native_values":[90,660,233],"rotation_degrees":117.6219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[90,660,233],"beta":{"interval_sums":[334706,317328,313272],"interval_residues":[486,802,678],"display_cycle":[486,802,678],"intervals":[{"from_index":643,"to_index":1299,"sum":334706,"residue":486},{"from_index":1299,"to_index":1955,"sum":317328,"residue":802},{"from_index":1955,"to_index":643,"sum":313272,"residue":678}],"minimal_cycle":[486,802,678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":486,"start_interval_clock_positions":[643,1299],"circle_positions":983,"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":[644,1300,1956],"clock_positions":[644,1300,1956],"native_values":[767,360,839],"rotation_degrees":117.8048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[767,360,839],"beta":{"interval_sums":[334599,317201,312523],"interval_residues":[379,675,912],"display_cycle":[379,675,912],"intervals":[{"from_index":644,"to_index":1300,"sum":334599,"residue":379},{"from_index":1300,"to_index":1956,"sum":317201,"residue":675},{"from_index":1956,"to_index":644,"sum":312523,"residue":912}],"minimal_cycle":[379,675,912],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":379,"start_interval_clock_positions":[644,1300],"circle_positions":983,"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":[645,1301,1957],"clock_positions":[645,1301,1957],"native_values":[857,37,89],"rotation_degrees":117.98780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[857,37,89],"beta":{"interval_sums":[334102,318003,313201],"interval_residues":[865,494,607],"display_cycle":[865,494,607],"intervals":[{"from_index":645,"to_index":1301,"sum":334102,"residue":865},{"from_index":1301,"to_index":1957,"sum":318003,"residue":494},{"from_index":1957,"to_index":645,"sum":313201,"residue":607}],"minimal_cycle":[865,494,607],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":865,"start_interval_clock_positions":[645,1301],"circle_positions":983,"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":[646,1302,1958],"clock_positions":[646,1302,1958],"native_values":[641,397,928],"rotation_degrees":118.17073170731707,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,397,928],"beta":{"interval_sums":[333498,317695,313130],"interval_residues":[261,186,536],"display_cycle":[261,186,536],"intervals":[{"from_index":646,"to_index":1302,"sum":333498,"residue":261},{"from_index":1302,"to_index":1958,"sum":317695,"residue":186},{"from_index":1958,"to_index":646,"sum":313130,"residue":536}],"minimal_cycle":[261,186,536],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":261,"start_interval_clock_positions":[646,1302],"circle_positions":983,"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":[647,1303,1959],"clock_positions":[647,1303,1959],"native_values":[515,434,34],"rotation_degrees":118.35365853658537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[515,434,34],"beta":{"interval_sums":[333380,318189,313737],"interval_residues":[143,680,160],"display_cycle":[143,680,160],"intervals":[{"from_index":647,"to_index":1303,"sum":333380,"residue":143},{"from_index":1303,"to_index":1959,"sum":318189,"residue":680},{"from_index":1959,"to_index":647,"sum":313737,"residue":160}],"minimal_cycle":[143,680,160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":143,"start_interval_clock_positions":[647,1303],"circle_positions":983,"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":[648,1304,1960],"clock_positions":[648,1304,1960],"native_values":[173,831,962],"rotation_degrees":118.53658536585365,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,831,962],"beta":{"interval_sums":[333641,317392,313290],"interval_residues":[404,866,696],"display_cycle":[404,866,696],"intervals":[{"from_index":648,"to_index":1304,"sum":333641,"residue":404},{"from_index":1304,"to_index":1960,"sum":317392,"residue":866},{"from_index":1960,"to_index":648,"sum":313290,"residue":696}],"minimal_cycle":[404,866,696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":404,"start_interval_clock_positions":[648,1304],"circle_positions":983,"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":[649,1305,1961],"clock_positions":[649,1305,1961],"native_values":[688,282,13],"rotation_degrees":118.71951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[688,282,13],"beta":{"interval_sums":[333784,318072,313450],"interval_residues":[547,563,856],"display_cycle":[547,563,856],"intervals":[{"from_index":649,"to_index":1305,"sum":333784,"residue":547},{"from_index":1305,"to_index":1961,"sum":318072,"residue":563},{"from_index":1961,"to_index":649,"sum":313450,"residue":856}],"minimal_cycle":[547,563,856],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":547,"start_interval_clock_positions":[649,1305],"circle_positions":983,"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":[650,1306,1962],"clock_positions":[650,1306,1962],"native_values":[861,130,975],"rotation_degrees":118.90243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[861,130,975],"beta":{"interval_sums":[333205,317955,313163],"interval_residues":[951,446,569],"display_cycle":[951,446,569],"intervals":[{"from_index":650,"to_index":1306,"sum":333205,"residue":951},{"from_index":1306,"to_index":1962,"sum":317955,"residue":446},{"from_index":1962,"to_index":650,"sum":313163,"residue":569}],"minimal_cycle":[951,446,569],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":951,"start_interval_clock_positions":[650,1306],"circle_positions":983,"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":[651,1307,1963],"clock_positions":[651,1307,1963],"native_values":[566,412,5],"rotation_degrees":119.08536585365853,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[566,412,5],"beta":{"interval_sums":[332769,318518,314019],"interval_residues":[515,26,442],"display_cycle":[515,26,442],"intervals":[{"from_index":651,"to_index":1307,"sum":332769,"residue":515},{"from_index":1307,"to_index":1963,"sum":318518,"residue":26},{"from_index":1963,"to_index":651,"sum":314019,"residue":442}],"minimal_cycle":[515,26,442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":515,"start_interval_clock_positions":[651,1307],"circle_positions":983,"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":[652,1308,1964],"clock_positions":[652,1308,1964],"native_values":[444,542,980],"rotation_degrees":119.26829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[444,542,980],"beta":{"interval_sums":[332737,317981,313605],"interval_residues":[483,472,28],"display_cycle":[483,472,28],"intervals":[{"from_index":652,"to_index":1308,"sum":332737,"residue":483},{"from_index":1308,"to_index":1964,"sum":317981,"residue":472},{"from_index":1964,"to_index":652,"sum":313605,"residue":28}],"minimal_cycle":[483,472,28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":483,"start_interval_clock_positions":[652,1308],"circle_positions":983,"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":[653,1309,1965],"clock_positions":[653,1309,1965],"native_values":[27,954,2],"rotation_degrees":119.45121951219512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,954,2],"beta":{"interval_sums":[333252,318007,314047],"interval_residues":[15,498,470],"display_cycle":[15,498,470],"intervals":[{"from_index":653,"to_index":1309,"sum":333252,"residue":15},{"from_index":1309,"to_index":1965,"sum":318007,"residue":498},{"from_index":1965,"to_index":653,"sum":314047,"residue":470}],"minimal_cycle":[15,498,470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":15,"start_interval_clock_positions":[653,1309],"circle_positions":983,"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":[654,1310,1966],"clock_positions":[654,1310,1966],"native_values":[471,513,982],"rotation_degrees":119.63414634146342,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,513,982],"beta":{"interval_sums":[333735,317496,313092],"interval_residues":[498,970,498],"display_cycle":[498,970,498],"intervals":[{"from_index":654,"to_index":1310,"sum":333735,"residue":498},{"from_index":1310,"to_index":1966,"sum":317496,"residue":970},{"from_index":1966,"to_index":654,"sum":313092,"residue":498}],"minimal_cycle":[498,970,498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[654,1310],"circle_positions":983,"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":[655,1311,1967],"clock_positions":[655,1311,1967],"native_values":[498,484,1],"rotation_degrees":119.8170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[498,484,1],"beta":{"interval_sums":[333750,317994,313562],"interval_residues":[513,485,968],"display_cycle":[513,485,968],"intervals":[{"from_index":655,"to_index":1311,"sum":333750,"residue":513},{"from_index":1311,"to_index":1967,"sum":317994,"residue":485},{"from_index":1967,"to_index":655,"sum":313562,"residue":968}],"minimal_cycle":[513,485,968],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":513,"start_interval_clock_positions":[655,1311],"circle_positions":983,"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":[0,328,656,984,1312,1640],"clock_positions":[1968,328,656,984,1312,1640],"native_values":[983,969,969,983,14,14],"rotation_degrees":0.0,"north_south":true,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[983,969,969,983,14,14],"beta":{"interval_sums":[152849,160242,164673,168592,161199,156768],"interval_residues":[484,13,512,499,970,471],"display_cycle":[484,13,512,499,970,471],"intervals":[{"from_index":0,"to_index":328,"sum":152849,"residue":484},{"from_index":328,"to_index":656,"sum":160242,"residue":13},{"from_index":656,"to_index":984,"sum":164673,"residue":512},{"from_index":984,"to_index":1312,"sum":168592,"residue":499},{"from_index":1312,"to_index":1640,"sum":161199,"residue":970},{"from_index":1640,"to_index":0,"sum":156768,"residue":471}],"minimal_cycle":[484,13,512,499,970,471],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":484,"start_interval_clock_positions":[1968,328],"circle_positions":983,"cycle_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":[1,329,657,985,1313,1641],"clock_positions":[1,329,657,985,1313,1641],"native_values":[1,485,484,982,498,499],"rotation_degrees":0.18292682926829268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,485,484,982,498,499],"beta":{"interval_sums":[153817,160726,164189,167624,160715,156269],"interval_residues":[469,497,28,514,486,955],"display_cycle":[469,497,28,514,486,955],"intervals":[{"from_index":1,"to_index":329,"sum":153817,"residue":469},{"from_index":329,"to_index":657,"sum":160726,"residue":497},{"from_index":657,"to_index":985,"sum":164189,"residue":28},{"from_index":985,"to_index":1313,"sum":167624,"residue":514},{"from_index":1313,"to_index":1641,"sum":160715,"residue":486},{"from_index":1641,"to_index":1,"sum":156269,"residue":955}],"minimal_cycle":[469,497,28,514,486,955],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":469,"start_interval_clock_positions":[1,329],"circle_positions":983,"cycle_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":[2,330,658,986,1314,1642],"clock_positions":[2,330,658,986,1314,1642],"native_values":[1,471,470,982,512,513],"rotation_degrees":0.36585365853658536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,471,470,982,512,513],"beta":{"interval_sums":[154301,160739,164701,167140,160702,155757],"interval_residues":[953,510,540,30,473,443],"display_cycle":[953,510,540,30,473,443],"intervals":[{"from_index":2,"to_index":330,"sum":154301,"residue":953},{"from_index":330,"to_index":658,"sum":160739,"residue":510},{"from_index":658,"to_index":986,"sum":164701,"residue":540},{"from_index":986,"to_index":1314,"sum":167140,"residue":30},{"from_index":1314,"to_index":1642,"sum":160702,"residue":473},{"from_index":1642,"to_index":2,"sum":155757,"residue":443}],"minimal_cycle":[953,510,540,30,473,443],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":953,"start_interval_clock_positions":[2,330],"circle_positions":983,"cycle_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":[3,331,659,987,1315,1643],"clock_positions":[3,331,659,987,1315,1643],"native_values":[2,956,954,981,27,29],"rotation_degrees":0.5487804878048781,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,956,954,981,27,29],"beta":{"interval_sums":[154770,160253,164729,166671,161188,155729],"interval_residues":[439,24,568,544,959,415],"display_cycle":[439,24,568,544,959,415],"intervals":[{"from_index":3,"to_index":331,"sum":154770,"residue":439},{"from_index":331,"to_index":659,"sum":160253,"residue":24},{"from_index":659,"to_index":987,"sum":164729,"residue":568},{"from_index":987,"to_index":1315,"sum":166671,"residue":544},{"from_index":1315,"to_index":1643,"sum":161188,"residue":959},{"from_index":1643,"to_index":3,"sum":155729,"residue":415}],"minimal_cycle":[439,24,568,544,959,415],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":439,"start_interval_clock_positions":[3,331],"circle_positions":983,"cycle_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":[4,332,660,988,1316,1644],"clock_positions":[4,332,660,988,1316,1644],"native_values":[3,444,441,980,539,542],"rotation_degrees":0.7317073170731707,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,444,441,980,539,542],"beta":{"interval_sums":[155723,160763,165269,165718,160678,155189],"interval_residues":[409,534,125,574,449,858],"display_cycle":[409,534,125,574,449,858],"intervals":[{"from_index":4,"to_index":332,"sum":155723,"residue":409},{"from_index":332,"to_index":660,"sum":160763,"residue":534},{"from_index":660,"to_index":988,"sum":165269,"residue":125},{"from_index":988,"to_index":1316,"sum":165718,"residue":574},{"from_index":1316,"to_index":1644,"sum":160678,"residue":449},{"from_index":1644,"to_index":4,"sum":155189,"residue":858}],"minimal_cycle":[409,534,125,574,449,858],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":409,"start_interval_clock_positions":[4,332],"circle_positions":983,"cycle_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":[5,333,661,989,1317,1645],"clock_positions":[5,333,661,989,1317,1645],"native_values":[5,417,412,978,566,571],"rotation_degrees":0.9146341463414634,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,417,412,978,566,571],"beta":{"interval_sums":[156162,160787,165837,165279,160654,154621],"interval_residues":[848,558,693,135,425,290],"display_cycle":[848,558,693,135,425,290],"intervals":[{"from_index":5,"to_index":333,"sum":156162,"residue":848},{"from_index":333,"to_index":661,"sum":160787,"residue":558},{"from_index":661,"to_index":989,"sum":165837,"residue":693},{"from_index":989,"to_index":1317,"sum":165279,"residue":135},{"from_index":1317,"to_index":1645,"sum":160654,"residue":425},{"from_index":1645,"to_index":5,"sum":154621,"residue":290}],"minimal_cycle":[848,558,693,135,425,290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":848,"start_interval_clock_positions":[5,333],"circle_positions":983,"cycle_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":[6,334,662,990,1318,1646],"clock_positions":[6,334,662,990,1318,1646],"native_values":[8,861,853,975,122,130],"rotation_degrees":1.0975609756097562,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,861,853,975,122,130],"beta":{"interval_sums":[156571,160338,165962,164870,161103,154496],"interval_residues":[274,109,818,709,874,165],"display_cycle":[274,109,818,709,874,165],"intervals":[{"from_index":6,"to_index":334,"sum":156571,"residue":274},{"from_index":334,"to_index":662,"sum":160338,"residue":109},{"from_index":662,"to_index":990,"sum":165962,"residue":818},{"from_index":990,"to_index":1318,"sum":164870,"residue":709},{"from_index":1318,"to_index":1646,"sum":161103,"residue":874},{"from_index":1646,"to_index":6,"sum":154496,"residue":165}],"minimal_cycle":[274,109,818,709,874,165],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":274,"start_interval_clock_positions":[6,334],"circle_positions":983,"cycle_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":[7,335,663,991,1319,1647],"clock_positions":[7,335,663,991,1319,1647],"native_values":[13,295,282,970,688,701],"rotation_degrees":1.2804878048780488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,295,282,970,688,701],"beta":{"interval_sums":[157419,160896,166655,164022,160545,153803],"interval_residues":[139,667,528,844,316,455],"display_cycle":[139,667,528,844,316,455],"intervals":[{"from_index":7,"to_index":335,"sum":157419,"residue":139},{"from_index":335,"to_index":663,"sum":160896,"residue":667},{"from_index":663,"to_index":991,"sum":166655,"residue":528},{"from_index":991,"to_index":1319,"sum":164022,"residue":844},{"from_index":1319,"to_index":1647,"sum":160545,"residue":316},{"from_index":1647,"to_index":7,"sum":153803,"residue":455}],"minimal_cycle":[139,667,528,844,316,455],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":139,"start_interval_clock_positions":[7,335],"circle_positions":983,"cycle_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":[8,336,664,992,1320,1648],"clock_positions":[8,336,664,992,1320,1648],"native_values":[21,173,152,962,810,831],"rotation_degrees":1.4634146341463414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,173,152,962,810,831],"beta":{"interval_sums":[157693,161005,167473,163748,160436,152985],"interval_residues":[413,776,363,570,207,620],"display_cycle":[413,776,363,570,207,620],"intervals":[{"from_index":8,"to_index":336,"sum":157693,"residue":413},{"from_index":336,"to_index":664,"sum":161005,"residue":776},{"from_index":664,"to_index":992,"sum":167473,"residue":363},{"from_index":992,"to_index":1320,"sum":163748,"residue":570},{"from_index":1320,"to_index":1648,"sum":160436,"residue":207},{"from_index":1648,"to_index":8,"sum":152985,"residue":620}],"minimal_cycle":[413,776,363,570,207,620],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":413,"start_interval_clock_positions":[8,336],"circle_positions":983,"cycle_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":[9,337,665,993,1321,1649],"clock_positions":[9,337,665,993,1321,1649],"native_values":[34,468,434,949,515,549],"rotation_degrees":1.646341463414634,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,468,434,949,515,549],"beta":{"interval_sums":[157832,160689,168001,163609,160752,152457],"interval_residues":[552,460,891,431,523,92],"display_cycle":[552,460,891,431,523,92],"intervals":[{"from_index":9,"to_index":337,"sum":157832,"residue":552},{"from_index":337,"to_index":665,"sum":160689,"residue":460},{"from_index":665,"to_index":993,"sum":168001,"residue":891},{"from_index":993,"to_index":1321,"sum":163609,"residue":431},{"from_index":1321,"to_index":1649,"sum":160752,"residue":523},{"from_index":1649,"to_index":9,"sum":152457,"residue":92}],"minimal_cycle":[552,460,891,431,523,92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[9,337],"circle_positions":983,"cycle_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":[10,338,666,994,1322,1650],"clock_positions":[10,338,666,994,1322,1650],"native_values":[55,641,586,928,342,397],"rotation_degrees":1.829268292682927,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,641,586,928,342,397],"beta":{"interval_sums":[158245,160482,168364,163196,160959,152094],"interval_residues":[965,253,271,18,730,712],"display_cycle":[965,253,271,18,730,712],"intervals":[{"from_index":10,"to_index":338,"sum":158245,"residue":965},{"from_index":338,"to_index":666,"sum":160482,"residue":253},{"from_index":666,"to_index":994,"sum":168364,"residue":271},{"from_index":994,"to_index":1322,"sum":163196,"residue":18},{"from_index":1322,"to_index":1650,"sum":160959,"residue":730},{"from_index":1650,"to_index":10,"sum":152094,"residue":712}],"minimal_cycle":[965,253,271,18,730,712],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":965,"start_interval_clock_positions":[10,338],"circle_positions":983,"cycle_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":[11,339,667,995,1323,1651],"clock_positions":[11,339,667,995,1323,1651],"native_values":[89,126,37,894,857,946],"rotation_degrees":2.0121951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,126,37,894,857,946],"beta":{"interval_sums":[158797,160942,169255,162644,160499,151203],"interval_residues":[534,713,179,449,270,804],"display_cycle":[534,713,179,449,270,804],"intervals":[{"from_index":11,"to_index":339,"sum":158797,"residue":534},{"from_index":339,"to_index":667,"sum":160942,"residue":713},{"from_index":667,"to_index":995,"sum":169255,"residue":179},{"from_index":995,"to_index":1323,"sum":162644,"residue":449},{"from_index":1323,"to_index":1651,"sum":160499,"residue":270},{"from_index":1651,"to_index":11,"sum":151203,"residue":804}],"minimal_cycle":[534,713,179,449,270,804],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[11,339],"circle_positions":983,"cycle_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":[12,340,668,996,1324,1652],"clock_positions":[12,340,668,996,1324,1652],"native_values":[144,767,623,839,216,360],"rotation_degrees":2.1951219512195124,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,767,623,839,216,360],"beta":{"interval_sums":[158779,160212,169526,162662,161229,150932],"interval_residues":[516,966,450,467,17,533],"display_cycle":[516,966,450,467,17,533],"intervals":[{"from_index":12,"to_index":340,"sum":158779,"residue":516},{"from_index":340,"to_index":668,"sum":160212,"residue":966},{"from_index":668,"to_index":996,"sum":169526,"residue":450},{"from_index":996,"to_index":1324,"sum":162662,"residue":467},{"from_index":1324,"to_index":1652,"sum":161229,"residue":17},{"from_index":1652,"to_index":12,"sum":150932,"residue":533}],"minimal_cycle":[516,966,450,467,17,533],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":516,"start_interval_clock_positions":[12,340],"circle_positions":983,"cycle_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":[13,341,669,997,1325,1653],"clock_positions":[13,341,669,997,1325,1653],"native_values":[233,893,660,750,90,323],"rotation_degrees":2.3780487804878048,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,893,660,750,90,323],"beta":{"interval_sums":[159313,159942,169705,162128,161499,150753],"interval_residues":[67,696,629,916,287,354],"display_cycle":[67,696,629,916,287,354],"intervals":[{"from_index":13,"to_index":341,"sum":159313,"residue":67},{"from_index":341,"to_index":669,"sum":159942,"residue":696},{"from_index":669,"to_index":997,"sum":169705,"residue":629},{"from_index":997,"to_index":1325,"sum":162128,"residue":916},{"from_index":1325,"to_index":1653,"sum":161499,"residue":287},{"from_index":1653,"to_index":13,"sum":150753,"residue":354}],"minimal_cycle":[67,696,629,916,287,354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":67,"start_interval_clock_positions":[13,341],"circle_positions":983,"cycle_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":[14,342,670,998,1326,1654],"clock_positions":[14,342,670,998,1326,1654],"native_values":[377,677,300,606,306,683],"rotation_degrees":2.5609756097560976,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,677,300,606,306,683],"beta":{"interval_sums":[159829,159925,170155,161612,161516,150303],"interval_residues":[583,679,96,400,304,887],"display_cycle":[583,679,96,400,304,887],"intervals":[{"from_index":14,"to_index":342,"sum":159829,"residue":583},{"from_index":342,"to_index":670,"sum":159925,"residue":679},{"from_index":670,"to_index":998,"sum":170155,"residue":96},{"from_index":998,"to_index":1326,"sum":161612,"residue":400},{"from_index":1326,"to_index":1654,"sum":161516,"residue":304},{"from_index":1654,"to_index":14,"sum":150303,"residue":887}],"minimal_cycle":[583,679,96,400,304,887],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":583,"start_interval_clock_positions":[14,342],"circle_positions":983,"cycle_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":[15,343,671,999,1327,1655],"clock_positions":[15,343,671,999,1327,1655],"native_values":[610,587,960,373,396,23],"rotation_degrees":2.7439024390243905,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,587,960,373,396,23],"beta":{"interval_sums":[159896,159638,169801,161545,161803,150657],"interval_residues":[650,392,725,333,591,258],"display_cycle":[650,392,725,333,591,258],"intervals":[{"from_index":15,"to_index":343,"sum":159896,"residue":650},{"from_index":343,"to_index":671,"sum":159638,"residue":392},{"from_index":671,"to_index":999,"sum":169801,"residue":725},{"from_index":999,"to_index":1327,"sum":161545,"residue":333},{"from_index":1327,"to_index":1655,"sum":161803,"residue":591},{"from_index":1655,"to_index":15,"sum":150657,"residue":258}],"minimal_cycle":[650,392,725,333,591,258],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":650,"start_interval_clock_positions":[15,343],"circle_positions":983,"cycle_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":[16,344,672,1000,1328,1656],"clock_positions":[16,344,672,1000,1328,1656],"native_values":[4,281,277,979,702,706],"rotation_degrees":2.926829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[4,281,277,979,702,706],"beta":{"interval_sums":[160479,160317,169897,160962,161124,150561],"interval_residues":[250,88,821,733,895,162],"display_cycle":[250,88,821,733,895,162],"intervals":[{"from_index":16,"to_index":344,"sum":160479,"residue":250},{"from_index":344,"to_index":672,"sum":160317,"residue":88},{"from_index":672,"to_index":1000,"sum":169897,"residue":821},{"from_index":1000,"to_index":1328,"sum":160962,"residue":733},{"from_index":1328,"to_index":1656,"sum":161124,"residue":895},{"from_index":1656,"to_index":16,"sum":150561,"residue":162}],"minimal_cycle":[250,88,821,733,895,162],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":250,"start_interval_clock_positions":[16,344],"circle_positions":983,"cycle_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":[17,345,673,1001,1329,1657],"clock_positions":[17,345,673,1001,1329,1657],"native_values":[614,868,254,369,115,729],"rotation_degrees":3.1097560975609757,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[614,868,254,369,115,729],"beta":{"interval_sums":[160146,159726,170622,161295,161715,149836],"interval_residues":[900,480,563,83,503,420],"display_cycle":[900,480,563,83,503,420],"intervals":[{"from_index":17,"to_index":345,"sum":160146,"residue":900},{"from_index":345,"to_index":673,"sum":159726,"residue":480},{"from_index":673,"to_index":1001,"sum":170622,"residue":563},{"from_index":1001,"to_index":1329,"sum":161295,"residue":83},{"from_index":1329,"to_index":1657,"sum":161715,"residue":503},{"from_index":1657,"to_index":17,"sum":149836,"residue":420}],"minimal_cycle":[900,480,563,83,503,420],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":900,"start_interval_clock_positions":[17,345],"circle_positions":983,"cycle_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":[18,346,674,1002,1330,1658],"clock_positions":[18,346,674,1002,1330,1658],"native_values":[618,166,531,365,817,452],"rotation_degrees":3.292682926829268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[618,166,531,365,817,452],"beta":{"interval_sums":[160396,159814,170460,161045,161627,149998],"interval_residues":[167,568,401,816,415,582],"display_cycle":[167,568,401,816,415,582],"intervals":[{"from_index":18,"to_index":346,"sum":160396,"residue":167},{"from_index":346,"to_index":674,"sum":159814,"residue":568},{"from_index":674,"to_index":1002,"sum":170460,"residue":401},{"from_index":1002,"to_index":1330,"sum":161045,"residue":816},{"from_index":1330,"to_index":1658,"sum":161627,"residue":415},{"from_index":1658,"to_index":18,"sum":149998,"residue":582}],"minimal_cycle":[167,568,401,816,415,582],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":167,"start_interval_clock_positions":[18,346],"circle_positions":983,"cycle_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":[19,347,675,1003,1331,1659],"clock_positions":[19,347,675,1003,1331,1659],"native_values":[249,51,785,734,932,198],"rotation_degrees":3.475609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,51,785,734,932,198],"beta":{"interval_sums":[160313,160294,170040,161128,161147,150418],"interval_residues":[84,65,964,899,918,19],"display_cycle":[84,65,964,899,918,19],"intervals":[{"from_index":19,"to_index":347,"sum":160313,"residue":84},{"from_index":347,"to_index":675,"sum":160294,"residue":65},{"from_index":675,"to_index":1003,"sum":170040,"residue":964},{"from_index":1003,"to_index":1331,"sum":161128,"residue":899},{"from_index":1331,"to_index":1659,"sum":161147,"residue":918},{"from_index":1659,"to_index":19,"sum":150418,"residue":19}],"minimal_cycle":[84,65,964,899,918,19],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[19,347],"circle_positions":983,"cycle_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":[20,348,676,1004,1332,1660],"clock_positions":[20,348,676,1004,1332,1660],"native_values":[867,217,333,116,766,650],"rotation_degrees":3.658536585365854,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[867,217,333,116,766,650],"beta":{"interval_sums":[159497,160862,170441,161944,160579,150017],"interval_residues":[251,633,382,732,350,601],"display_cycle":[251,633,382,732,350,601],"intervals":[{"from_index":20,"to_index":348,"sum":159497,"residue":251},{"from_index":348,"to_index":676,"sum":160862,"residue":633},{"from_index":676,"to_index":1004,"sum":170441,"residue":382},{"from_index":1004,"to_index":1332,"sum":161944,"residue":732},{"from_index":1332,"to_index":1660,"sum":160579,"residue":350},{"from_index":1660,"to_index":20,"sum":150017,"residue":601}],"minimal_cycle":[251,633,382,732,350,601],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":251,"start_interval_clock_positions":[20,348],"circle_positions":983,"cycle_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":[21,349,677,1005,1333,1661],"clock_positions":[21,349,677,1005,1333,1661],"native_values":[133,268,135,850,715,848],"rotation_degrees":3.841463414634146,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,268,135,850,715,848],"beta":{"interval_sums":[159581,160927,170422,161860,160514,150036],"interval_residues":[335,698,363,648,285,620],"display_cycle":[335,698,363,648,285,620],"intervals":[{"from_index":21,"to_index":349,"sum":159581,"residue":335},{"from_index":349,"to_index":677,"sum":160927,"residue":698},{"from_index":677,"to_index":1005,"sum":170422,"residue":363},{"from_index":1005,"to_index":1333,"sum":161860,"residue":648},{"from_index":1333,"to_index":1661,"sum":160514,"residue":285},{"from_index":1661,"to_index":21,"sum":150036,"residue":620}],"minimal_cycle":[335,698,363,648,285,620],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":335,"start_interval_clock_positions":[21,349],"circle_positions":983,"cycle_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":[22,350,678,1006,1334,1662],"clock_positions":[22,350,678,1006,1334,1662],"native_values":[17,485,468,966,498,515],"rotation_degrees":4.024390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,485,468,966,498,515],"beta":{"interval_sums":[159832,160577,170804,161609,160864,149654],"interval_residues":[586,348,745,397,635,238],"display_cycle":[586,348,745,397,635,238],"intervals":[{"from_index":22,"to_index":350,"sum":159832,"residue":586},{"from_index":350,"to_index":678,"sum":160577,"residue":348},{"from_index":678,"to_index":1006,"sum":170804,"residue":745},{"from_index":1006,"to_index":1334,"sum":161609,"residue":397},{"from_index":1334,"to_index":1662,"sum":160864,"residue":635},{"from_index":1662,"to_index":22,"sum":149654,"residue":238}],"minimal_cycle":[586,348,745,397,635,238],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[22,350],"circle_positions":983,"cycle_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":[23,351,679,1007,1335,1663],"clock_positions":[23,351,679,1007,1335,1663],"native_values":[150,753,603,833,230,380],"rotation_degrees":4.2073170731707314,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[150,753,603,833,230,380],"beta":{"interval_sums":[160167,160292,171167,161274,161149,149291],"interval_residues":[921,63,125,62,920,858],"display_cycle":[921,63,125,62,920,858],"intervals":[{"from_index":23,"to_index":351,"sum":160167,"residue":921},{"from_index":351,"to_index":679,"sum":160292,"residue":63},{"from_index":679,"to_index":1007,"sum":171167,"residue":125},{"from_index":1007,"to_index":1335,"sum":161274,"residue":62},{"from_index":1335,"to_index":1663,"sum":161149,"residue":920},{"from_index":1663,"to_index":23,"sum":149291,"residue":858}],"minimal_cycle":[921,63,125,62,920,858],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":921,"start_interval_clock_positions":[23,351],"circle_positions":983,"cycle_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":[24,352,680,1008,1336,1664],"clock_positions":[24,352,680,1008,1336,1664],"native_values":[167,255,88,816,728,895],"rotation_degrees":4.390243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,255,88,816,728,895],"beta":{"interval_sums":[160753,160640,171912,160688,160801,148546],"interval_residues":[524,411,870,459,572,113],"display_cycle":[524,411,870,459,572,113],"intervals":[{"from_index":24,"to_index":352,"sum":160753,"residue":524},{"from_index":352,"to_index":680,"sum":160640,"residue":411},{"from_index":680,"to_index":1008,"sum":171912,"residue":870},{"from_index":1008,"to_index":1336,"sum":160688,"residue":459},{"from_index":1336,"to_index":1664,"sum":160801,"residue":572},{"from_index":1664,"to_index":24,"sum":148546,"residue":113}],"minimal_cycle":[524,411,870,459,572,113],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[24,352],"circle_positions":983,"cycle_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":[25,353,681,1009,1337,1665],"clock_positions":[25,353,681,1009,1337,1665],"native_values":[317,25,691,666,958,292],"rotation_degrees":4.573170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,25,691,666,958,292],"beta":{"interval_sums":[160691,160703,172037,160750,160738,148421],"interval_residues":[462,474,12,521,509,971],"display_cycle":[462,474,12,521,509,971],"intervals":[{"from_index":25,"to_index":353,"sum":160691,"residue":462},{"from_index":353,"to_index":681,"sum":160703,"residue":474},{"from_index":681,"to_index":1009,"sum":172037,"residue":12},{"from_index":1009,"to_index":1337,"sum":160750,"residue":521},{"from_index":1337,"to_index":1665,"sum":160738,"residue":509},{"from_index":1665,"to_index":25,"sum":148421,"residue":971}],"minimal_cycle":[462,474,12,521,509,971],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":462,"start_interval_clock_positions":[25,353],"circle_positions":983,"cycle_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":[26,354,682,1010,1338,1666],"clock_positions":[26,354,682,1010,1338,1666],"native_values":[484,280,779,499,703,204],"rotation_degrees":4.7560975609756095,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[484,280,779,499,703,204],"beta":{"interval_sums":[160232,161114,171924,161209,160327,148534],"interval_residues":[3,885,882,980,98,101],"display_cycle":[3,885,882,980,98,101],"intervals":[{"from_index":26,"to_index":354,"sum":160232,"residue":3},{"from_index":354,"to_index":682,"sum":161114,"residue":885},{"from_index":682,"to_index":1010,"sum":171924,"residue":882},{"from_index":1010,"to_index":1338,"sum":161209,"residue":980},{"from_index":1338,"to_index":1666,"sum":160327,"residue":98},{"from_index":1666,"to_index":26,"sum":148534,"residue":101}],"minimal_cycle":[3,885,882,980,98,101],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":3,"start_interval_clock_positions":[26,354],"circle_positions":983,"cycle_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":[27,355,683,1011,1339,1667],"clock_positions":[27,355,683,1011,1339,1667],"native_values":[801,305,487,182,678,496],"rotation_degrees":4.939024390243903,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[801,305,487,182,678,496],"beta":{"interval_sums":[159711,161588,171936,161730,159853,148522],"interval_residues":[465,376,894,518,607,89],"display_cycle":[465,376,894,518,607,89],"intervals":[{"from_index":27,"to_index":355,"sum":159711,"residue":465},{"from_index":355,"to_index":683,"sum":161588,"residue":376},{"from_index":683,"to_index":1011,"sum":171936,"residue":894},{"from_index":1011,"to_index":1339,"sum":161730,"residue":518},{"from_index":1339,"to_index":1667,"sum":159853,"residue":607},{"from_index":1667,"to_index":27,"sum":148522,"residue":89}],"minimal_cycle":[465,376,894,518,607,89],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":465,"start_interval_clock_positions":[27,355],"circle_positions":983,"cycle_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":[28,356,684,1012,1340,1668],"clock_positions":[28,356,684,1012,1340,1668],"native_values":[302,585,283,681,398,700],"rotation_degrees":5.121951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[302,585,283,681,398,700],"beta":{"interval_sums":[159714,161490,171835,161727,159951,148623],"interval_residues":[468,278,793,515,705,190],"display_cycle":[468,278,793,515,705,190],"intervals":[{"from_index":28,"to_index":356,"sum":159714,"residue":468},{"from_index":356,"to_index":684,"sum":161490,"residue":278},{"from_index":684,"to_index":1012,"sum":171835,"residue":793},{"from_index":1012,"to_index":1340,"sum":161727,"residue":515},{"from_index":1340,"to_index":1668,"sum":159951,"residue":705},{"from_index":1668,"to_index":28,"sum":148623,"residue":190}],"minimal_cycle":[468,278,793,515,705,190],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[28,356],"circle_positions":983,"cycle_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":[29,357,685,1013,1341,1669],"clock_positions":[29,357,685,1013,1341,1669],"native_values":[120,890,770,863,93,213],"rotation_degrees":5.304878048780488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[120,890,770,863,93,213],"beta":{"interval_sums":[160179,160883,171746,161262,160558,148712],"interval_residues":[933,654,704,50,329,279],"display_cycle":[933,654,704,50,329,279],"intervals":[{"from_index":29,"to_index":357,"sum":160179,"residue":933},{"from_index":357,"to_index":685,"sum":160883,"residue":654},{"from_index":685,"to_index":1013,"sum":171746,"residue":704},{"from_index":1013,"to_index":1341,"sum":161262,"residue":50},{"from_index":1341,"to_index":1669,"sum":160558,"residue":329},{"from_index":1669,"to_index":29,"sum":148712,"residue":279}],"minimal_cycle":[933,654,704,50,329,279],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":933,"start_interval_clock_positions":[29,357],"circle_positions":983,"cycle_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":[30,358,686,1014,1342,1670],"clock_positions":[30,358,686,1014,1342,1670],"native_values":[422,492,70,561,491,913],"rotation_degrees":5.487804878048781,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[422,492,70,561,491,913],"beta":{"interval_sums":[160647,161161,172539,160794,160280,147919],"interval_residues":[418,932,514,565,51,469],"display_cycle":[418,932,514,565,51,469],"intervals":[{"from_index":30,"to_index":358,"sum":160647,"residue":418},{"from_index":358,"to_index":686,"sum":161161,"residue":932},{"from_index":686,"to_index":1014,"sum":172539,"residue":514},{"from_index":1014,"to_index":1342,"sum":160794,"residue":565},{"from_index":1342,"to_index":1670,"sum":160280,"residue":51},{"from_index":1670,"to_index":30,"sum":147919,"residue":469}],"minimal_cycle":[418,932,514,565,51,469],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":418,"start_interval_clock_positions":[30,358],"circle_positions":983,"cycle_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":[31,359,687,1015,1343,1671],"clock_positions":[31,359,687,1015,1343,1671],"native_values":[542,399,840,441,584,143],"rotation_degrees":5.670731707317073,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[542,399,840,441,584,143],"beta":{"interval_sums":[160597,160832,172260,160844,160609,148198],"interval_residues":[368,603,235,615,380,748],"display_cycle":[368,603,235,615,380,748],"intervals":[{"from_index":31,"to_index":359,"sum":160597,"residue":368},{"from_index":359,"to_index":687,"sum":160832,"residue":603},{"from_index":687,"to_index":1015,"sum":172260,"residue":235},{"from_index":1015,"to_index":1343,"sum":160844,"residue":615},{"from_index":1343,"to_index":1671,"sum":160609,"residue":380},{"from_index":1671,"to_index":31,"sum":148198,"residue":748}],"minimal_cycle":[368,603,235,615,380,748],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":368,"start_interval_clock_positions":[31,359],"circle_positions":983,"cycle_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":[32,360,688,1016,1344,1672],"clock_positions":[32,360,688,1016,1344,1672],"native_values":[964,891,910,19,92,73],"rotation_degrees":5.853658536585366,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[964,891,910,19,92,73],"beta":{"interval_sums":[160032,160781,171791,161409,160660,148667],"interval_residues":[786,552,749,197,431,234],"display_cycle":[786,552,749,197,431,234],"intervals":[{"from_index":32,"to_index":360,"sum":160032,"residue":786},{"from_index":360,"to_index":688,"sum":160781,"residue":552},{"from_index":688,"to_index":1016,"sum":171791,"residue":749},{"from_index":1016,"to_index":1344,"sum":161409,"residue":197},{"from_index":1344,"to_index":1672,"sum":160660,"residue":431},{"from_index":1672,"to_index":32,"sum":148667,"residue":234}],"minimal_cycle":[786,552,749,197,431,234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":786,"start_interval_clock_positions":[32,360],"circle_positions":983,"cycle_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":[33,361,689,1017,1345,1673],"clock_positions":[33,361,689,1017,1345,1673],"native_values":[523,307,767,460,676,216],"rotation_degrees":6.036585365853658,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,307,767,460,676,216],"beta":{"interval_sums":[160400,161384,171043,161041,160057,149415],"interval_residues":[171,172,1,812,811,982],"display_cycle":[171,172,1,812,811,982],"intervals":[{"from_index":33,"to_index":361,"sum":160400,"residue":171},{"from_index":361,"to_index":689,"sum":161384,"residue":172},{"from_index":689,"to_index":1017,"sum":171043,"residue":1},{"from_index":1017,"to_index":1345,"sum":161041,"residue":812},{"from_index":1345,"to_index":1673,"sum":160057,"residue":811},{"from_index":1673,"to_index":33,"sum":149415,"residue":982}],"minimal_cycle":[171,172,1,812,811,982],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":171,"start_interval_clock_positions":[33,361],"circle_positions":983,"cycle_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":[34,362,690,1018,1346,1674],"clock_positions":[34,362,690,1018,1346,1674],"native_values":[504,215,694,479,768,289],"rotation_degrees":6.219512195121951,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[504,215,694,479,768,289],"beta":{"interval_sums":[160203,161936,170809,161238,159505,149649],"interval_residues":[957,724,750,26,259,233],"display_cycle":[957,724,750,26,259,233],"intervals":[{"from_index":34,"to_index":362,"sum":160203,"residue":957},{"from_index":362,"to_index":690,"sum":161936,"residue":724},{"from_index":690,"to_index":1018,"sum":170809,"residue":750},{"from_index":1018,"to_index":1346,"sum":161238,"residue":26},{"from_index":1346,"to_index":1674,"sum":159505,"residue":259},{"from_index":1674,"to_index":34,"sum":149649,"residue":233}],"minimal_cycle":[957,724,750,26,259,233],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":957,"start_interval_clock_positions":[34,362],"circle_positions":983,"cycle_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":[35,363,691,1019,1347,1675],"clock_positions":[35,363,691,1019,1347,1675],"native_values":[44,522,478,939,461,505],"rotation_degrees":6.402439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[44,522,478,939,461,505],"beta":{"interval_sums":[160374,162108,170810,161067,159333,149648],"interval_residues":[145,896,751,838,87,232],"display_cycle":[145,896,751,838,87,232],"intervals":[{"from_index":35,"to_index":363,"sum":160374,"residue":145},{"from_index":363,"to_index":691,"sum":162108,"residue":896},{"from_index":691,"to_index":1019,"sum":170810,"residue":751},{"from_index":1019,"to_index":1347,"sum":161067,"residue":838},{"from_index":1347,"to_index":1675,"sum":159333,"residue":87},{"from_index":1675,"to_index":35,"sum":149648,"residue":232}],"minimal_cycle":[145,896,751,838,87,232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":145,"start_interval_clock_positions":[35,363],"circle_positions":983,"cycle_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":[36,364,692,1020,1348,1676],"clock_positions":[36,364,692,1020,1348,1676],"native_values":[548,737,189,435,246,794],"rotation_degrees":6.585365853658536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[548,737,189,435,246,794],"beta":{"interval_sums":[160348,161849,171560,161093,159592,148898],"interval_residues":[119,637,518,864,346,465],"display_cycle":[119,637,518,864,346,465],"intervals":[{"from_index":36,"to_index":364,"sum":160348,"residue":119},{"from_index":364,"to_index":692,"sum":161849,"residue":637},{"from_index":692,"to_index":1020,"sum":171560,"residue":518},{"from_index":1020,"to_index":1348,"sum":161093,"residue":864},{"from_index":1348,"to_index":1676,"sum":159592,"residue":346},{"from_index":1676,"to_index":36,"sum":148898,"residue":465}],"minimal_cycle":[119,637,518,864,346,465],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":119,"start_interval_clock_positions":[36,364],"circle_positions":983,"cycle_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":[37,365,693,1021,1349,1677],"clock_positions":[37,365,693,1021,1349,1677],"native_values":[592,276,667,391,707,316],"rotation_degrees":6.7682926829268295,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[592,276,667,391,707,316],"beta":{"interval_sums":[160493,161762,171328,160948,159679,149130],"interval_residues":[264,550,286,719,433,697],"display_cycle":[264,550,286,719,433,697],"intervals":[{"from_index":37,"to_index":365,"sum":160493,"residue":264},{"from_index":365,"to_index":693,"sum":161762,"residue":550},{"from_index":693,"to_index":1021,"sum":171328,"residue":286},{"from_index":1021,"to_index":1349,"sum":160948,"residue":719},{"from_index":1349,"to_index":1677,"sum":159679,"residue":433},{"from_index":1677,"to_index":37,"sum":149130,"residue":697}],"minimal_cycle":[264,550,286,719,433,697],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":264,"start_interval_clock_positions":[37,365],"circle_positions":983,"cycle_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":[38,366,694,1022,1350,1678],"clock_positions":[38,366,694,1022,1350,1678],"native_values":[157,30,856,826,953,127],"rotation_degrees":6.951219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,30,856,826,953,127],"beta":{"interval_sums":[160612,162399,170863,160829,159042,149595],"interval_residues":[383,204,804,600,779,179],"display_cycle":[383,204,804,600,779,179],"intervals":[{"from_index":38,"to_index":366,"sum":160612,"residue":383},{"from_index":366,"to_index":694,"sum":162399,"residue":204},{"from_index":694,"to_index":1022,"sum":170863,"residue":804},{"from_index":1022,"to_index":1350,"sum":160829,"residue":600},{"from_index":1350,"to_index":1678,"sum":159042,"residue":779},{"from_index":1678,"to_index":38,"sum":149595,"residue":179}],"minimal_cycle":[383,204,804,600,779,179],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":383,"start_interval_clock_positions":[38,366],"circle_positions":983,"cycle_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":[39,367,695,1023,1351,1679],"clock_positions":[39,367,695,1023,1351,1679],"native_values":[749,306,540,234,677,443],"rotation_degrees":7.134146341463414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[749,306,540,234,677,443],"beta":{"interval_sums":[159893,162949,171149,161548,158492,149309],"interval_residues":[647,754,107,336,229,876],"display_cycle":[647,754,107,336,229,876],"intervals":[{"from_index":39,"to_index":367,"sum":159893,"residue":647},{"from_index":367,"to_index":695,"sum":162949,"residue":754},{"from_index":695,"to_index":1023,"sum":171149,"residue":107},{"from_index":1023,"to_index":1351,"sum":161548,"residue":336},{"from_index":1351,"to_index":1679,"sum":158492,"residue":229},{"from_index":1679,"to_index":39,"sum":149309,"residue":876}],"minimal_cycle":[647,754,107,336,229,876],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":647,"start_interval_clock_positions":[39,367],"circle_positions":983,"cycle_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":[40,368,696,1024,1352,1680],"clock_positions":[40,368,696,1024,1352,1680],"native_values":[906,336,413,77,647,570],"rotation_degrees":7.317073170731708,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[906,336,413,77,647,570],"beta":{"interval_sums":[159293,163153,170970,162148,158288,149488],"interval_residues":[47,958,911,936,25,72],"display_cycle":[47,958,911,936,25,72],"intervals":[{"from_index":40,"to_index":368,"sum":159293,"residue":47},{"from_index":368,"to_index":696,"sum":163153,"residue":958},{"from_index":696,"to_index":1024,"sum":170970,"residue":911},{"from_index":1024,"to_index":1352,"sum":162148,"residue":936},{"from_index":1352,"to_index":1680,"sum":158288,"residue":25},{"from_index":1680,"to_index":40,"sum":149488,"residue":72}],"minimal_cycle":[47,958,911,936,25,72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":47,"start_interval_clock_positions":[40,368],"circle_positions":983,"cycle_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":[41,369,697,1025,1353,1681],"clock_positions":[41,369,697,1025,1353,1681],"native_values":[672,642,953,311,341,30],"rotation_degrees":7.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[672,642,953,311,341,30],"beta":{"interval_sums":[158957,162924,170094,162484,158517,150364],"interval_residues":[694,729,35,289,254,948],"display_cycle":[694,729,35,289,254,948],"intervals":[{"from_index":41,"to_index":369,"sum":158957,"residue":694},{"from_index":369,"to_index":697,"sum":162924,"residue":729},{"from_index":697,"to_index":1025,"sum":170094,"residue":35},{"from_index":1025,"to_index":1353,"sum":162484,"residue":289},{"from_index":1353,"to_index":1681,"sum":158517,"residue":254},{"from_index":1681,"to_index":41,"sum":150364,"residue":948}],"minimal_cycle":[694,729,35,289,254,948],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":694,"start_interval_clock_positions":[41,369],"circle_positions":983,"cycle_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":[42,370,698,1026,1354,1682],"clock_positions":[42,370,698,1026,1354,1682],"native_values":[595,978,383,388,5,600],"rotation_degrees":7.682926829268292,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[595,978,383,388,5,600],"beta":{"interval_sums":[159004,162899,170022,162437,158542,150436],"interval_residues":[741,704,946,242,279,37],"display_cycle":[741,704,946,242,279,37],"intervals":[{"from_index":42,"to_index":370,"sum":159004,"residue":741},{"from_index":370,"to_index":698,"sum":162899,"residue":704},{"from_index":698,"to_index":1026,"sum":170022,"residue":946},{"from_index":1026,"to_index":1354,"sum":162437,"residue":242},{"from_index":1354,"to_index":1682,"sum":158542,"residue":279},{"from_index":1682,"to_index":42,"sum":150436,"residue":37}],"minimal_cycle":[741,704,946,242,279,37],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":741,"start_interval_clock_positions":[42,370],"circle_positions":983,"cycle_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":[43,371,699,1027,1355,1683],"clock_positions":[43,371,699,1027,1355,1683],"native_values":[284,637,353,699,346,630],"rotation_degrees":7.865853658536586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[284,637,353,699,346,630],"beta":{"interval_sums":[159698,162645,170057,161743,158796,150401],"interval_residues":[452,450,981,531,533,2],"display_cycle":[452,450,981,531,533,2],"intervals":[{"from_index":43,"to_index":371,"sum":159698,"residue":452},{"from_index":371,"to_index":699,"sum":162645,"residue":450},{"from_index":699,"to_index":1027,"sum":170057,"residue":981},{"from_index":1027,"to_index":1355,"sum":161743,"residue":531},{"from_index":1355,"to_index":1683,"sum":158796,"residue":533},{"from_index":1683,"to_index":43,"sum":150401,"residue":2}],"minimal_cycle":[452,450,981,531,533,2],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[43,371],"circle_positions":983,"cycle_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":[44,372,700,1028,1356,1684],"clock_positions":[44,372,700,1028,1356,1684],"native_values":[879,632,736,104,351,247],"rotation_degrees":8.048780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[879,632,736,104,351,247],"beta":{"interval_sums":[159456,162366,170020,161985,159075,150438],"interval_residues":[210,171,944,773,812,39],"display_cycle":[210,171,944,773,812,39],"intervals":[{"from_index":44,"to_index":372,"sum":159456,"residue":210},{"from_index":372,"to_index":700,"sum":162366,"residue":171},{"from_index":700,"to_index":1028,"sum":170020,"residue":944},{"from_index":1028,"to_index":1356,"sum":161985,"residue":773},{"from_index":1356,"to_index":1684,"sum":159075,"residue":812},{"from_index":1684,"to_index":44,"sum":150438,"residue":39}],"minimal_cycle":[210,171,944,773,812,39],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[44,372],"circle_positions":983,"cycle_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":[45,373,701,1029,1357,1685],"clock_positions":[45,373,701,1029,1357,1685],"native_values":[180,286,106,803,697,877],"rotation_degrees":8.231707317073171,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,286,106,803,697,877],"beta":{"interval_sums":[159908,162816,170018,161533,158625,150440],"interval_residues":[662,621,942,321,362,41],"display_cycle":[662,621,942,321,362,41],"intervals":[{"from_index":45,"to_index":373,"sum":159908,"residue":662},{"from_index":373,"to_index":701,"sum":162816,"residue":621},{"from_index":701,"to_index":1029,"sum":170018,"residue":942},{"from_index":1029,"to_index":1357,"sum":161533,"residue":321},{"from_index":1357,"to_index":1685,"sum":158625,"residue":362},{"from_index":1685,"to_index":45,"sum":150440,"residue":41}],"minimal_cycle":[662,621,942,321,362,41],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":662,"start_interval_clock_positions":[45,373],"circle_positions":983,"cycle_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":[46,374,702,1030,1358,1686],"clock_positions":[46,374,702,1030,1358,1686],"native_values":[76,918,842,907,65,141],"rotation_degrees":8.414634146341463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[76,918,842,907,65,141],"beta":{"interval_sums":[160118,162004,169979,161323,159437,150479],"interval_residues":[872,792,903,111,191,80],"display_cycle":[872,792,903,111,191,80],"intervals":[{"from_index":46,"to_index":374,"sum":160118,"residue":872},{"from_index":374,"to_index":702,"sum":162004,"residue":792},{"from_index":702,"to_index":1030,"sum":169979,"residue":903},{"from_index":1030,"to_index":1358,"sum":161323,"residue":111},{"from_index":1358,"to_index":1686,"sum":159437,"residue":191},{"from_index":1686,"to_index":46,"sum":150479,"residue":80}],"minimal_cycle":[872,792,903,111,191,80],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":872,"start_interval_clock_positions":[46,374],"circle_positions":983,"cycle_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":[47,375,703,1031,1359,1687],"clock_positions":[47,375,703,1031,1359,1687],"native_values":[256,221,948,727,762,35],"rotation_degrees":8.597560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[256,221,948,727,762,35],"beta":{"interval_sums":[160780,162625,169938,160661,158816,150520],"interval_residues":[551,430,862,432,553,121],"display_cycle":[551,430,862,432,553,121],"intervals":[{"from_index":47,"to_index":375,"sum":160780,"residue":551},{"from_index":375,"to_index":703,"sum":162625,"residue":430},{"from_index":703,"to_index":1031,"sum":169938,"residue":862},{"from_index":1031,"to_index":1359,"sum":160661,"residue":432},{"from_index":1359,"to_index":1687,"sum":158816,"residue":553},{"from_index":1687,"to_index":47,"sum":150520,"residue":121}],"minimal_cycle":[551,430,862,432,553,121],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":551,"start_interval_clock_positions":[47,375],"circle_positions":983,"cycle_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":[48,376,704,1032,1360,1688],"clock_positions":[48,376,704,1032,1360,1688],"native_values":[332,156,807,651,827,176],"rotation_degrees":8.78048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[332,156,807,651,827,176],"beta":{"interval_sums":[160669,163417,169858,160772,158024,150600],"interval_residues":[440,239,782,543,744,201],"display_cycle":[440,239,782,543,744,201],"intervals":[{"from_index":48,"to_index":376,"sum":160669,"residue":440},{"from_index":376,"to_index":704,"sum":163417,"residue":239},{"from_index":704,"to_index":1032,"sum":169858,"residue":782},{"from_index":1032,"to_index":1360,"sum":160772,"residue":543},{"from_index":1360,"to_index":1688,"sum":158024,"residue":744},{"from_index":1688,"to_index":48,"sum":150600,"residue":201}],"minimal_cycle":[440,239,782,543,744,201],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[48,376],"circle_positions":983,"cycle_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":[49,377,705,1033,1361,1689],"clock_positions":[49,377,705,1033,1361,1689],"native_values":[588,377,772,395,606,211],"rotation_degrees":8.963414634146341,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[588,377,772,395,606,211],"beta":{"interval_sums":[160237,163847,169737,161204,157594,150721],"interval_residues":[8,669,661,975,314,322],"display_cycle":[8,669,661,975,314,322],"intervals":[{"from_index":49,"to_index":377,"sum":160237,"residue":8},{"from_index":377,"to_index":705,"sum":163847,"residue":669},{"from_index":705,"to_index":1033,"sum":169737,"residue":661},{"from_index":1033,"to_index":1361,"sum":161204,"residue":975},{"from_index":1361,"to_index":1689,"sum":157594,"residue":314},{"from_index":1689,"to_index":49,"sum":150721,"residue":322}],"minimal_cycle":[8,669,661,975,314,322],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[49,377],"circle_positions":983,"cycle_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":[50,378,706,1034,1362,1690],"clock_positions":[50,378,706,1034,1362,1690],"native_values":[920,533,596,63,450,387],"rotation_degrees":9.146341463414634,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[920,533,596,63,450,387],"beta":{"interval_sums":[159694,164086,169536,161747,157355,150922],"interval_residues":[448,908,460,535,75,523],"display_cycle":[448,908,460,535,75,523],"intervals":[{"from_index":50,"to_index":378,"sum":159694,"residue":448},{"from_index":378,"to_index":706,"sum":164086,"residue":908},{"from_index":706,"to_index":1034,"sum":169536,"residue":460},{"from_index":1034,"to_index":1362,"sum":161747,"residue":535},{"from_index":1362,"to_index":1690,"sum":157355,"residue":75},{"from_index":1690,"to_index":50,"sum":150922,"residue":523}],"minimal_cycle":[448,908,460,535,75,523],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":448,"start_interval_clock_positions":[50,378],"circle_positions":983,"cycle_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":[51,379,707,1035,1363,1691],"clock_positions":[51,379,707,1035,1363,1691],"native_values":[525,910,385,458,73,598],"rotation_degrees":9.329268292682928,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[525,910,385,458,73,598],"beta":{"interval_sums":[159702,163772,169214,161739,157669,151244],"interval_residues":[456,594,138,527,389,845],"display_cycle":[456,594,138,527,389,845],"intervals":[{"from_index":51,"to_index":379,"sum":159702,"residue":456},{"from_index":379,"to_index":707,"sum":163772,"residue":594},{"from_index":707,"to_index":1035,"sum":169214,"residue":138},{"from_index":1035,"to_index":1363,"sum":161739,"residue":527},{"from_index":1363,"to_index":1691,"sum":157669,"residue":389},{"from_index":1691,"to_index":51,"sum":151244,"residue":845}],"minimal_cycle":[456,594,138,527,389,845],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[51,379],"circle_positions":983,"cycle_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":[52,380,708,1036,1364,1692],"clock_positions":[52,380,708,1036,1364,1692],"native_values":[462,460,981,521,523,2],"rotation_degrees":9.512195121951219,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[462,460,981,521,523,2],"beta":{"interval_sums":[160150,163697,168691,161291,157744,151767],"interval_residues":[904,519,598,79,464,385],"display_cycle":[904,519,598,79,464,385],"intervals":[{"from_index":52,"to_index":380,"sum":160150,"residue":904},{"from_index":380,"to_index":708,"sum":163697,"residue":519},{"from_index":708,"to_index":1036,"sum":168691,"residue":598},{"from_index":1036,"to_index":1364,"sum":161291,"residue":79},{"from_index":1364,"to_index":1692,"sum":157744,"residue":464},{"from_index":1692,"to_index":52,"sum":151767,"residue":385}],"minimal_cycle":[904,519,598,79,464,385],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":904,"start_interval_clock_positions":[52,380],"circle_positions":983,"cycle_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":[53,381,709,1037,1365,1693],"clock_positions":[53,381,709,1037,1365,1693],"native_values":[4,387,383,979,596,600],"rotation_degrees":9.695121951219512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[4,387,383,979,596,600],"beta":{"interval_sums":[160606,164291,168829,160835,157150,151629],"interval_residues":[377,130,736,606,853,247],"display_cycle":[377,130,736,606,853,247],"intervals":[{"from_index":53,"to_index":381,"sum":160606,"residue":377},{"from_index":381,"to_index":709,"sum":164291,"residue":130},{"from_index":709,"to_index":1037,"sum":168829,"residue":736},{"from_index":1037,"to_index":1365,"sum":160835,"residue":606},{"from_index":1365,"to_index":1693,"sum":157150,"residue":853},{"from_index":1693,"to_index":53,"sum":151629,"residue":247}],"minimal_cycle":[377,130,736,606,853,247],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[53,381],"circle_positions":983,"cycle_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":[54,382,710,1038,1366,1694],"clock_positions":[54,382,710,1038,1366,1694],"native_values":[466,847,381,517,136,602],"rotation_degrees":9.878048780487806,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[466,847,381,517,136,602],"beta":{"interval_sums":[160527,163827,169427,160914,157614,151031],"interval_residues":[298,649,351,685,334,632],"display_cycle":[298,649,351,685,334,632],"intervals":[{"from_index":54,"to_index":382,"sum":160527,"residue":298},{"from_index":382,"to_index":710,"sum":163827,"residue":649},{"from_index":710,"to_index":1038,"sum":169427,"residue":351},{"from_index":1038,"to_index":1366,"sum":160914,"residue":685},{"from_index":1366,"to_index":1694,"sum":157614,"residue":334},{"from_index":1694,"to_index":54,"sum":151031,"residue":632}],"minimal_cycle":[298,649,351,685,334,632],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[54,382],"circle_positions":983,"cycle_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":[55,383,711,1039,1367,1695],"clock_positions":[55,383,711,1039,1367,1695],"native_values":[470,251,764,513,732,219],"rotation_degrees":10.060975609756097,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[470,251,764,513,732,219],"beta":{"interval_sums":[160904,163957,169180,160537,157484,151278],"interval_residues":[675,779,104,308,204,879],"display_cycle":[675,779,104,308,204,879],"intervals":[{"from_index":55,"to_index":383,"sum":160904,"residue":675},{"from_index":383,"to_index":711,"sum":163957,"residue":779},{"from_index":711,"to_index":1039,"sum":169180,"residue":104},{"from_index":1039,"to_index":1367,"sum":160537,"residue":308},{"from_index":1367,"to_index":1695,"sum":157484,"residue":204},{"from_index":1695,"to_index":55,"sum":151278,"residue":879}],"minimal_cycle":[675,779,104,308,204,879],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":675,"start_interval_clock_positions":[55,383],"circle_positions":983,"cycle_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":[56,384,712,1040,1368,1696],"clock_positions":[56,384,712,1040,1368,1696],"native_values":[936,115,162,47,868,821],"rotation_degrees":10.24390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[936,115,162,47,868,821],"beta":{"interval_sums":[160219,164606,169531,161222,156835,150927],"interval_residues":[973,445,455,10,538,528],"display_cycle":[973,445,455,10,538,528],"intervals":[{"from_index":56,"to_index":384,"sum":160219,"residue":973},{"from_index":384,"to_index":712,"sum":164606,"residue":445},{"from_index":712,"to_index":1040,"sum":169531,"residue":455},{"from_index":1040,"to_index":1368,"sum":161222,"residue":10},{"from_index":1368,"to_index":1696,"sum":156835,"residue":538},{"from_index":1696,"to_index":56,"sum":150927,"residue":528}],"minimal_cycle":[973,445,455,10,538,528],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":973,"start_interval_clock_positions":[56,384],"circle_positions":983,"cycle_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":[57,385,713,1041,1369,1697],"clock_positions":[57,385,713,1041,1369,1697],"native_values":[423,366,926,560,617,57],"rotation_degrees":10.426829268292684,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[423,366,926,560,617,57],"beta":{"interval_sums":[159911,164402,168652,161530,157039,151806],"interval_residues":[665,241,559,318,742,424],"display_cycle":[665,241,559,318,742,424],"intervals":[{"from_index":57,"to_index":385,"sum":159911,"residue":665},{"from_index":385,"to_index":713,"sum":164402,"residue":241},{"from_index":713,"to_index":1041,"sum":168652,"residue":559},{"from_index":1041,"to_index":1369,"sum":161530,"residue":318},{"from_index":1369,"to_index":1697,"sum":157039,"residue":742},{"from_index":1697,"to_index":57,"sum":151806,"residue":424}],"minimal_cycle":[665,241,559,318,742,424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":665,"start_interval_clock_positions":[57,385],"circle_positions":983,"cycle_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":[58,386,714,1042,1370,1698],"clock_positions":[58,386,714,1042,1370,1698],"native_values":[376,481,105,607,502,878],"rotation_degrees":10.609756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[376,481,105,607,502,878],"beta":{"interval_sums":[159901,164847,169107,161540,156594,151351],"interval_residues":[655,686,31,328,297,952],"display_cycle":[655,686,31,328,297,952],"intervals":[{"from_index":58,"to_index":386,"sum":159901,"residue":655},{"from_index":386,"to_index":714,"sum":164847,"residue":686},{"from_index":714,"to_index":1042,"sum":169107,"residue":31},{"from_index":1042,"to_index":1370,"sum":161540,"residue":328},{"from_index":1370,"to_index":1698,"sum":156594,"residue":297},{"from_index":1698,"to_index":58,"sum":151351,"residue":952}],"minimal_cycle":[655,686,31,328,297,952],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":655,"start_interval_clock_positions":[58,386],"circle_positions":983,"cycle_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":[59,387,715,1043,1371,1699],"clock_positions":[59,387,715,1043,1371,1699],"native_values":[799,847,48,184,136,935],"rotation_degrees":10.792682926829269,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[799,847,48,184,136,935],"beta":{"interval_sums":[159583,164105,169666,161858,157336,150792],"interval_residues":[337,927,590,646,56,393],"display_cycle":[337,927,590,646,56,393],"intervals":[{"from_index":59,"to_index":387,"sum":159583,"residue":337},{"from_index":387,"to_index":715,"sum":164105,"residue":927},{"from_index":715,"to_index":1043,"sum":169666,"residue":590},{"from_index":1043,"to_index":1371,"sum":161858,"residue":646},{"from_index":1371,"to_index":1699,"sum":157336,"residue":56},{"from_index":1699,"to_index":59,"sum":150792,"residue":393}],"minimal_cycle":[337,927,590,646,56,393],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":337,"start_interval_clock_positions":[59,387],"circle_positions":983,"cycle_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":[60,388,716,1044,1372,1700],"clock_positions":[60,388,716,1044,1372,1700],"native_values":[192,345,153,791,638,830],"rotation_degrees":10.975609756097562,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[192,345,153,791,638,830],"beta":{"interval_sums":[160238,163808,169697,161203,157633,150761],"interval_residues":[9,630,621,974,353,362],"display_cycle":[9,630,621,974,353,362],"intervals":[{"from_index":60,"to_index":388,"sum":160238,"residue":9},{"from_index":388,"to_index":716,"sum":163808,"residue":630},{"from_index":716,"to_index":1044,"sum":169697,"residue":621},{"from_index":1044,"to_index":1372,"sum":161203,"residue":974},{"from_index":1372,"to_index":1700,"sum":157633,"residue":353},{"from_index":1700,"to_index":60,"sum":150761,"residue":362}],"minimal_cycle":[9,630,621,974,353,362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":9,"start_interval_clock_positions":[60,388],"circle_positions":983,"cycle_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":[61,389,717,1045,1373,1701],"clock_positions":[61,389,717,1045,1373,1701],"native_values":[8,209,201,975,774,782],"rotation_degrees":11.158536585365853,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,209,201,975,774,782],"beta":{"interval_sums":[160575,163752,170287,160866,157689,150171],"interval_residues":[346,574,228,637,409,755],"display_cycle":[346,574,228,637,409,755],"intervals":[{"from_index":61,"to_index":389,"sum":160575,"residue":346},{"from_index":389,"to_index":717,"sum":163752,"residue":574},{"from_index":717,"to_index":1045,"sum":170287,"residue":228},{"from_index":1045,"to_index":1373,"sum":160866,"residue":637},{"from_index":1373,"to_index":1701,"sum":157689,"residue":409},{"from_index":1701,"to_index":61,"sum":150171,"residue":755}],"minimal_cycle":[346,574,228,637,409,755],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[61,389],"circle_positions":983,"cycle_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":[62,390,718,1046,1374,1702],"clock_positions":[62,390,718,1046,1374,1702],"native_values":[200,554,354,783,429,629],"rotation_degrees":11.341463414634147,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,554,354,783,429,629],"beta":{"interval_sums":[160584,163399,170908,160857,158042,149550],"interval_residues":[355,221,849,628,762,134],"display_cycle":[355,221,849,628,762,134],"intervals":[{"from_index":62,"to_index":390,"sum":160584,"residue":355},{"from_index":390,"to_index":718,"sum":163399,"residue":221},{"from_index":718,"to_index":1046,"sum":170908,"residue":849},{"from_index":1046,"to_index":1374,"sum":160857,"residue":628},{"from_index":1374,"to_index":1702,"sum":158042,"residue":762},{"from_index":1702,"to_index":62,"sum":149550,"residue":134}],"minimal_cycle":[355,221,849,628,762,134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":355,"start_interval_clock_positions":[62,390],"circle_positions":983,"cycle_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":[63,391,719,1047,1375,1703],"clock_positions":[63,391,719,1047,1375,1703],"native_values":[208,763,555,775,220,428],"rotation_degrees":11.524390243902438,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[208,763,555,775,220,428],"beta":{"interval_sums":[160930,162990,171136,160511,158451,149322],"interval_residues":[701,795,94,282,188,889],"display_cycle":[701,795,94,282,188,889],"intervals":[{"from_index":63,"to_index":391,"sum":160930,"residue":701},{"from_index":391,"to_index":719,"sum":162990,"residue":795},{"from_index":719,"to_index":1047,"sum":171136,"residue":94},{"from_index":1047,"to_index":1375,"sum":160511,"residue":282},{"from_index":1375,"to_index":1703,"sum":158451,"residue":188},{"from_index":1703,"to_index":63,"sum":149322,"residue":889}],"minimal_cycle":[701,795,94,282,188,889],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":701,"start_interval_clock_positions":[63,391],"circle_positions":983,"cycle_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":[64,392,720,1048,1376,1704],"clock_positions":[64,392,720,1048,1376,1704],"native_values":[408,334,909,575,649,74],"rotation_degrees":11.707317073170731,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[408,334,909,575,649,74],"beta":{"interval_sums":[161285,163211,171002,160156,158230,149456],"interval_residues":[73,33,943,910,950,40],"display_cycle":[73,33,943,910,950,40],"intervals":[{"from_index":64,"to_index":392,"sum":161285,"residue":73},{"from_index":392,"to_index":720,"sum":163211,"residue":33},{"from_index":720,"to_index":1048,"sum":171002,"residue":943},{"from_index":1048,"to_index":1376,"sum":160156,"residue":910},{"from_index":1376,"to_index":1704,"sum":158230,"residue":950},{"from_index":1704,"to_index":64,"sum":149456,"residue":40}],"minimal_cycle":[73,33,943,910,950,40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":73,"start_interval_clock_positions":[64,392],"circle_positions":983,"cycle_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":[65,393,721,1049,1377,1705],"clock_positions":[65,393,721,1049,1377,1705],"native_values":[616,114,481,367,869,502],"rotation_degrees":11.890243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[616,114,481,367,869,502],"beta":{"interval_sums":[161003,164006,171096,160438,157435,149362],"interval_residues":[774,828,54,209,155,929],"display_cycle":[774,828,54,209,155,929],"intervals":[{"from_index":65,"to_index":393,"sum":161003,"residue":774},{"from_index":393,"to_index":721,"sum":164006,"residue":828},{"from_index":721,"to_index":1049,"sum":171096,"residue":54},{"from_index":1049,"to_index":1377,"sum":160438,"residue":209},{"from_index":1377,"to_index":1705,"sum":157435,"residue":155},{"from_index":1705,"to_index":65,"sum":149362,"residue":929}],"minimal_cycle":[774,828,54,209,155,929],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":774,"start_interval_clock_positions":[65,393],"circle_positions":983,"cycle_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":[66,394,722,1050,1378,1706],"clock_positions":[66,394,722,1050,1378,1706],"native_values":[41,448,407,942,535,576],"rotation_degrees":12.073170731707316,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,448,407,942,535,576],"beta":{"interval_sums":[161076,164039,171056,160365,157402,149402],"interval_residues":[847,861,14,136,122,969],"display_cycle":[847,861,14,136,122,969],"intervals":[{"from_index":66,"to_index":394,"sum":161076,"residue":847},{"from_index":394,"to_index":722,"sum":164039,"residue":861},{"from_index":722,"to_index":1050,"sum":171056,"residue":14},{"from_index":1050,"to_index":1378,"sum":160365,"residue":136},{"from_index":1378,"to_index":1706,"sum":157402,"residue":122},{"from_index":1706,"to_index":66,"sum":149402,"residue":969}],"minimal_cycle":[847,861,14,136,122,969],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":847,"start_interval_clock_positions":[66,394],"circle_positions":983,"cycle_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":[67,395,723,1051,1379,1707],"clock_positions":[67,395,723,1051,1379,1707],"native_values":[657,562,888,326,421,95],"rotation_degrees":12.25609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,562,888,326,421,95],"beta":{"interval_sums":[160867,163884,171110,160574,157557,149348],"interval_residues":[638,706,68,345,277,915],"display_cycle":[638,706,68,345,277,915],"intervals":[{"from_index":67,"to_index":395,"sum":160867,"residue":638},{"from_index":395,"to_index":723,"sum":163884,"residue":706},{"from_index":723,"to_index":1051,"sum":171110,"residue":68},{"from_index":1051,"to_index":1379,"sum":160574,"residue":345},{"from_index":1379,"to_index":1707,"sum":157557,"residue":277},{"from_index":1707,"to_index":67,"sum":149348,"residue":915}],"minimal_cycle":[638,706,68,345,277,915],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[67,395],"circle_positions":983,"cycle_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":[68,396,724,1052,1380,1708],"clock_positions":[68,396,724,1052,1380,1708],"native_values":[698,27,312,285,956,671],"rotation_degrees":12.439024390243903,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[698,27,312,285,956,671],"beta":{"interval_sums":[160731,164745,171124,160710,156696,149334],"interval_residues":[502,584,82,481,399,901],"display_cycle":[502,584,82,481,399,901],"intervals":[{"from_index":68,"to_index":396,"sum":160731,"residue":502},{"from_index":396,"to_index":724,"sum":164745,"residue":584},{"from_index":724,"to_index":1052,"sum":171124,"residue":82},{"from_index":1052,"to_index":1380,"sum":160710,"residue":481},{"from_index":1380,"to_index":1708,"sum":156696,"residue":399},{"from_index":1708,"to_index":68,"sum":149334,"residue":901}],"minimal_cycle":[502,584,82,481,399,901],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[68,396],"circle_positions":983,"cycle_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":[69,397,725,1053,1381,1709],"clock_positions":[69,397,725,1053,1381,1709],"native_values":[372,589,217,611,394,766],"rotation_degrees":12.621951219512194,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[372,589,217,611,394,766],"beta":{"interval_sums":[160386,164468,171192,161055,156973,149266],"interval_residues":[157,307,150,826,676,833],"display_cycle":[157,307,150,826,676,833],"intervals":[{"from_index":69,"to_index":397,"sum":160386,"residue":157},{"from_index":397,"to_index":725,"sum":164468,"residue":307},{"from_index":725,"to_index":1053,"sum":171192,"residue":150},{"from_index":1053,"to_index":1381,"sum":161055,"residue":826},{"from_index":1381,"to_index":1709,"sum":156973,"residue":676},{"from_index":1709,"to_index":69,"sum":149266,"residue":833}],"minimal_cycle":[157,307,150,826,676,833],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":157,"start_interval_clock_positions":[69,397],"circle_positions":983,"cycle_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":[70,398,726,1054,1382,1710],"clock_positions":[70,398,726,1054,1382,1710],"native_values":[87,616,529,896,367,454],"rotation_degrees":12.804878048780488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[87,616,529,896,367,454],"beta":{"interval_sums":[160888,164069,171274,160553,157372,149184],"interval_residues":[659,891,232,324,92,751],"display_cycle":[659,891,232,324,92,751],"intervals":[{"from_index":70,"to_index":398,"sum":160888,"residue":659},{"from_index":398,"to_index":726,"sum":164069,"residue":891},{"from_index":726,"to_index":1054,"sum":171274,"residue":232},{"from_index":1054,"to_index":1382,"sum":160553,"residue":324},{"from_index":1382,"to_index":1710,"sum":157372,"residue":92},{"from_index":1710,"to_index":70,"sum":149184,"residue":751}],"minimal_cycle":[659,891,232,324,92,751],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":659,"start_interval_clock_positions":[70,398],"circle_positions":983,"cycle_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":[71,399,727,1055,1383,1711],"clock_positions":[71,399,727,1055,1383,1711],"native_values":[459,222,746,524,761,237],"rotation_degrees":12.987804878048781,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[459,222,746,524,761,237],"beta":{"interval_sums":[161045,164376,171424,160396,157065,149034],"interval_residues":[816,215,382,167,768,601],"display_cycle":[816,215,382,167,768,601],"intervals":[{"from_index":71,"to_index":399,"sum":161045,"residue":816},{"from_index":399,"to_index":727,"sum":164376,"residue":215},{"from_index":727,"to_index":1055,"sum":171424,"residue":382},{"from_index":1055,"to_index":1383,"sum":160396,"residue":167},{"from_index":1383,"to_index":1711,"sum":157065,"residue":768},{"from_index":1711,"to_index":71,"sum":149034,"residue":601}],"minimal_cycle":[816,215,382,167,768,601],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":816,"start_interval_clock_positions":[71,399],"circle_positions":983,"cycle_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":[72,400,728,1056,1384,1712],"clock_positions":[72,400,728,1056,1384,1712],"native_values":[546,838,292,437,145,691],"rotation_degrees":13.170731707317072,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[546,838,292,437,145,691],"beta":{"interval_sums":[160721,164284,171656,160720,157157,148802],"interval_residues":[492,123,614,491,860,369],"display_cycle":[492,123,614,491,860,369],"intervals":[{"from_index":72,"to_index":400,"sum":160721,"residue":492},{"from_index":400,"to_index":728,"sum":164284,"residue":123},{"from_index":728,"to_index":1056,"sum":171656,"residue":614},{"from_index":1056,"to_index":1384,"sum":160720,"residue":491},{"from_index":1384,"to_index":1712,"sum":157157,"residue":860},{"from_index":1712,"to_index":72,"sum":148802,"residue":369}],"minimal_cycle":[492,123,614,491,860,369],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":492,"start_interval_clock_positions":[72,400],"circle_positions":983,"cycle_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":[73,401,729,1057,1385,1713],"clock_positions":[73,401,729,1057,1385,1713],"native_values":[22,77,55,961,906,928],"rotation_degrees":13.353658536585366,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[22,77,55,961,906,928],"beta":{"interval_sums":[161537,164499,172038,159904,156942,148420],"interval_residues":[325,338,13,658,645,970],"display_cycle":[325,338,13,658,645,970],"intervals":[{"from_index":73,"to_index":401,"sum":161537,"residue":325},{"from_index":401,"to_index":729,"sum":164499,"residue":338},{"from_index":729,"to_index":1057,"sum":172038,"residue":13},{"from_index":1057,"to_index":1385,"sum":159904,"residue":658},{"from_index":1385,"to_index":1713,"sum":156942,"residue":645},{"from_index":1713,"to_index":73,"sum":148420,"residue":970}],"minimal_cycle":[325,338,13,658,645,970],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":325,"start_interval_clock_positions":[73,401],"circle_positions":983,"cycle_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":[74,402,730,1058,1386,1714],"clock_positions":[74,402,730,1058,1386,1714],"native_values":[568,915,347,415,68,636],"rotation_degrees":13.536585365853659,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[568,915,347,415,68,636],"beta":{"interval_sums":[161046,163639,172652,160395,157802,147806],"interval_residues":[817,461,627,166,522,356],"display_cycle":[817,461,627,166,522,356],"intervals":[{"from_index":74,"to_index":402,"sum":161046,"residue":817},{"from_index":402,"to_index":730,"sum":163639,"residue":461},{"from_index":730,"to_index":1058,"sum":172652,"residue":627},{"from_index":1058,"to_index":1386,"sum":160395,"residue":166},{"from_index":1386,"to_index":1714,"sum":157802,"residue":522},{"from_index":1714,"to_index":74,"sum":147806,"residue":356}],"minimal_cycle":[817,461,627,166,522,356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":817,"start_interval_clock_positions":[74,402],"circle_positions":983,"cycle_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":[75,403,731,1059,1387,1715],"clock_positions":[75,403,731,1059,1387,1715],"native_values":[590,9,402,393,974,581],"rotation_degrees":13.71951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[590,9,402,393,974,581],"beta":{"interval_sums":[161371,163977,172665,160070,157464,147793],"interval_residues":[159,799,640,824,184,343],"display_cycle":[159,799,640,824,184,343],"intervals":[{"from_index":75,"to_index":403,"sum":161371,"residue":159},{"from_index":403,"to_index":731,"sum":163977,"residue":799},{"from_index":731,"to_index":1059,"sum":172665,"residue":640},{"from_index":1059,"to_index":1387,"sum":160070,"residue":824},{"from_index":1387,"to_index":1715,"sum":157464,"residue":184},{"from_index":1715,"to_index":75,"sum":147793,"residue":343}],"minimal_cycle":[159,799,640,824,184,343],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":159,"start_interval_clock_positions":[75,403],"circle_positions":983,"cycle_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":[76,404,732,1060,1388,1716],"clock_positions":[76,404,732,1060,1388,1716],"native_values":[175,924,749,808,59,234],"rotation_degrees":13.902439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[175,924,749,808,59,234],"beta":{"interval_sums":[161205,163455,172309,160236,157986,148149],"interval_residues":[976,277,284,7,706,699],"display_cycle":[976,277,284,7,706,699],"intervals":[{"from_index":76,"to_index":404,"sum":161205,"residue":976},{"from_index":404,"to_index":732,"sum":163455,"residue":277},{"from_index":732,"to_index":1060,"sum":172309,"residue":284},{"from_index":1060,"to_index":1388,"sum":160236,"residue":7},{"from_index":1388,"to_index":1716,"sum":157986,"residue":706},{"from_index":1716,"to_index":76,"sum":148149,"residue":699}],"minimal_cycle":[976,277,284,7,706,699],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":976,"start_interval_clock_positions":[76,404],"circle_positions":983,"cycle_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":[77,405,733,1061,1389,1717],"clock_positions":[77,405,733,1061,1389,1717],"native_values":[765,933,168,218,50,815],"rotation_degrees":14.085365853658537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[765,933,168,218,50,815],"beta":{"interval_sums":[161364,163271,172949,160077,158170,147509],"interval_residues":[152,93,924,831,890,59],"display_cycle":[152,93,924,831,890,59],"intervals":[{"from_index":77,"to_index":405,"sum":161364,"residue":152},{"from_index":405,"to_index":733,"sum":163271,"residue":93},{"from_index":733,"to_index":1061,"sum":172949,"residue":924},{"from_index":1061,"to_index":1389,"sum":160077,"residue":831},{"from_index":1389,"to_index":1717,"sum":158170,"residue":890},{"from_index":1717,"to_index":77,"sum":147509,"residue":59}],"minimal_cycle":[152,93,924,831,890,59],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":152,"start_interval_clock_positions":[77,405],"circle_positions":983,"cycle_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":[78,406,734,1062,1390,1718],"clock_positions":[78,406,734,1062,1390,1718],"native_values":[940,874,917,43,109,66],"rotation_degrees":14.268292682926829,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[940,874,917,43,109,66],"beta":{"interval_sums":[161357,162565,172250,160084,158876,148208],"interval_residues":[145,370,225,838,613,758],"display_cycle":[145,370,225,838,613,758],"intervals":[{"from_index":78,"to_index":406,"sum":161357,"residue":145},{"from_index":406,"to_index":734,"sum":162565,"residue":370},{"from_index":734,"to_index":1062,"sum":172250,"residue":225},{"from_index":1062,"to_index":1390,"sum":160084,"residue":838},{"from_index":1390,"to_index":1718,"sum":158876,"residue":613},{"from_index":1718,"to_index":78,"sum":148208,"residue":758}],"minimal_cycle":[145,370,225,838,613,758],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":145,"start_interval_clock_positions":[78,406],"circle_positions":983,"cycle_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":[79,407,735,1063,1391,1719],"clock_positions":[79,407,735,1063,1391,1719],"native_values":[722,824,102,261,159,881],"rotation_degrees":14.451219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[722,824,102,261,159,881],"beta":{"interval_sums":[161509,162658,172191,159932,158783,148267],"interval_residues":[297,463,166,686,520,817],"display_cycle":[297,463,166,686,520,817],"intervals":[{"from_index":79,"to_index":407,"sum":161509,"residue":297},{"from_index":407,"to_index":735,"sum":162658,"residue":463},{"from_index":735,"to_index":1063,"sum":172191,"residue":166},{"from_index":1063,"to_index":1391,"sum":159932,"residue":686},{"from_index":1391,"to_index":1719,"sum":158783,"residue":520},{"from_index":1719,"to_index":79,"sum":148267,"residue":817}],"minimal_cycle":[297,463,166,686,520,817],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":297,"start_interval_clock_positions":[79,407],"circle_positions":983,"cycle_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":[80,408,736,1064,1392,1720],"clock_positions":[80,408,736,1064,1392,1720],"native_values":[679,715,36,304,268,947],"rotation_degrees":14.634146341463415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[679,715,36,304,268,947],"beta":{"interval_sums":[161654,162045,172416,159787,159396,148042],"interval_residues":[442,833,391,541,150,592],"display_cycle":[442,833,391,541,150,592],"intervals":[{"from_index":80,"to_index":408,"sum":161654,"residue":442},{"from_index":408,"to_index":736,"sum":162045,"residue":833},{"from_index":736,"to_index":1064,"sum":172416,"residue":391},{"from_index":1064,"to_index":1392,"sum":159787,"residue":541},{"from_index":1392,"to_index":1720,"sum":159396,"residue":150},{"from_index":1720,"to_index":80,"sum":148042,"residue":592}],"minimal_cycle":[442,833,391,541,150,592],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[80,408],"circle_positions":983,"cycle_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":[81,409,737,1065,1393,1721],"clock_positions":[81,409,737,1065,1393,1721],"native_values":[418,556,138,565,427,845],"rotation_degrees":14.817073170731707,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[418,556,138,565,427,845],"beta":{"interval_sums":[161951,161525,172582,159490,159916,147876],"interval_residues":[739,313,557,244,670,426],"display_cycle":[739,313,557,244,670,426],"intervals":[{"from_index":81,"to_index":409,"sum":161951,"residue":739},{"from_index":409,"to_index":737,"sum":161525,"residue":313},{"from_index":737,"to_index":1065,"sum":172582,"residue":557},{"from_index":1065,"to_index":1393,"sum":159490,"residue":244},{"from_index":1393,"to_index":1721,"sum":159916,"residue":670},{"from_index":1721,"to_index":81,"sum":147876,"residue":426}],"minimal_cycle":[739,313,557,244,670,426],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":739,"start_interval_clock_positions":[81,409],"circle_positions":983,"cycle_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":[82,410,738,1066,1394,1722],"clock_positions":[82,410,738,1066,1394,1722],"native_values":[114,288,174,869,695,809],"rotation_degrees":15.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[114,288,174,869,695,809],"beta":{"interval_sums":[162393,161375,172973,159048,160066,147485],"interval_residues":[198,163,948,785,820,35],"display_cycle":[198,163,948,785,820,35],"intervals":[{"from_index":82,"to_index":410,"sum":162393,"residue":198},{"from_index":410,"to_index":738,"sum":161375,"residue":163},{"from_index":738,"to_index":1066,"sum":172973,"residue":948},{"from_index":1066,"to_index":1394,"sum":159048,"residue":785},{"from_index":1394,"to_index":1722,"sum":160066,"residue":820},{"from_index":1722,"to_index":82,"sum":147485,"residue":35}],"minimal_cycle":[198,163,948,785,820,35],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[82,410],"circle_positions":983,"cycle_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":[83,411,739,1067,1395,1723],"clock_positions":[83,411,739,1067,1395,1723],"native_values":[532,844,312,451,139,671],"rotation_degrees":15.182926829268293,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[532,844,312,451,139,671],"beta":{"interval_sums":[162149,160705,173530,159292,160736,146928],"interval_residues":[937,476,522,46,507,461],"display_cycle":[937,476,522,46,507,461],"intervals":[{"from_index":83,"to_index":411,"sum":162149,"residue":937},{"from_index":411,"to_index":739,"sum":160705,"residue":476},{"from_index":739,"to_index":1067,"sum":173530,"residue":522},{"from_index":1067,"to_index":1395,"sum":159292,"residue":46},{"from_index":1395,"to_index":1723,"sum":160736,"residue":507},{"from_index":1723,"to_index":83,"sum":146928,"residue":461}],"minimal_cycle":[937,476,522,46,507,461],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":937,"start_interval_clock_positions":[83,411],"circle_positions":983,"cycle_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":[84,412,740,1068,1396,1724],"clock_positions":[84,412,740,1068,1396,1724],"native_values":[646,149,486,337,834,497],"rotation_degrees":15.365853658536585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[646,149,486,337,834,497],"beta":{"interval_sums":[162347,160868,173495,159094,160573,146963],"interval_residues":[152,639,487,831,344,496],"display_cycle":[152,639,487,831,344,496],"intervals":[{"from_index":84,"to_index":412,"sum":162347,"residue":152},{"from_index":412,"to_index":740,"sum":160868,"residue":639},{"from_index":740,"to_index":1068,"sum":173495,"residue":487},{"from_index":1068,"to_index":1396,"sum":159094,"residue":831},{"from_index":1396,"to_index":1724,"sum":160573,"residue":344},{"from_index":1724,"to_index":84,"sum":146963,"residue":496}],"minimal_cycle":[152,639,487,831,344,496],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":152,"start_interval_clock_positions":[84,412],"circle_positions":983,"cycle_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":[85,413,741,1069,1397,1725],"clock_positions":[85,413,741,1069,1397,1725],"native_values":[195,10,798,788,973,185],"rotation_degrees":15.548780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,10,798,788,973,185],"beta":{"interval_sums":[162301,161344,173034,159140,160097,147424],"interval_residues":[106,132,26,877,851,957],"display_cycle":[106,132,26,877,851,957],"intervals":[{"from_index":85,"to_index":413,"sum":162301,"residue":106},{"from_index":413,"to_index":741,"sum":161344,"residue":132},{"from_index":741,"to_index":1069,"sum":173034,"residue":26},{"from_index":1069,"to_index":1397,"sum":159140,"residue":877},{"from_index":1397,"to_index":1725,"sum":160097,"residue":851},{"from_index":1725,"to_index":85,"sum":147424,"residue":957}],"minimal_cycle":[106,132,26,877,851,957],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[85,413],"circle_positions":983,"cycle_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":[86,414,742,1070,1398,1726],"clock_positions":[86,414,742,1070,1398,1726],"native_values":[841,159,301,142,824,682],"rotation_degrees":15.731707317073171,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[841,159,301,142,824,682],"beta":{"interval_sums":[161470,161983,173521,159971,159458,146937],"interval_residues":[258,771,513,725,212,470],"display_cycle":[258,771,513,725,212,470],"intervals":[{"from_index":86,"to_index":414,"sum":161470,"residue":258},{"from_index":414,"to_index":742,"sum":161983,"residue":771},{"from_index":742,"to_index":1070,"sum":173521,"residue":513},{"from_index":1070,"to_index":1398,"sum":159971,"residue":725},{"from_index":1398,"to_index":1726,"sum":159458,"residue":212},{"from_index":1726,"to_index":86,"sum":146937,"residue":470}],"minimal_cycle":[258,771,513,725,212,470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[86,414],"circle_positions":983,"cycle_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":[87,415,743,1071,1399,1727],"clock_positions":[87,415,743,1071,1399,1727],"native_values":[53,169,116,930,814,867],"rotation_degrees":15.914634146341463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,169,116,930,814,867],"beta":{"interval_sums":[161576,162115,173547,159865,159326,146911],"interval_residues":[364,903,539,619,80,444],"display_cycle":[364,903,539,619,80,444],"intervals":[{"from_index":87,"to_index":415,"sum":161576,"residue":364},{"from_index":415,"to_index":743,"sum":162115,"residue":903},{"from_index":743,"to_index":1071,"sum":173547,"residue":539},{"from_index":1071,"to_index":1399,"sum":159865,"residue":619},{"from_index":1399,"to_index":1727,"sum":159326,"residue":80},{"from_index":1727,"to_index":87,"sum":146911,"residue":444}],"minimal_cycle":[364,903,539,619,80,444],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":364,"start_interval_clock_positions":[87,415],"circle_positions":983,"cycle_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":[88,416,744,1072,1400,1728],"clock_positions":[88,416,744,1072,1400,1728],"native_values":[894,328,417,89,655,566],"rotation_degrees":16.097560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[894,328,417,89,655,566],"beta":{"interval_sums":[160851,161903,174060,160590,159538,146398],"interval_residues":[622,691,69,361,292,914],"display_cycle":[622,691,69,361,292,914],"intervals":[{"from_index":88,"to_index":416,"sum":160851,"residue":622},{"from_index":416,"to_index":744,"sum":161903,"residue":691},{"from_index":744,"to_index":1072,"sum":174060,"residue":69},{"from_index":1072,"to_index":1400,"sum":160590,"residue":361},{"from_index":1400,"to_index":1728,"sum":159538,"residue":292},{"from_index":1728,"to_index":88,"sum":146398,"residue":914}],"minimal_cycle":[622,691,69,361,292,914],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":622,"start_interval_clock_positions":[88,416],"circle_positions":983,"cycle_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":[89,417,745,1073,1401,1729],"clock_positions":[89,417,745,1073,1401,1729],"native_values":[947,497,533,36,486,450],"rotation_degrees":16.28048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[947,497,533,36,486,450],"beta":{"interval_sums":[160232,161823,173616,161209,159618,146842],"interval_residues":[3,611,608,980,372,375],"display_cycle":[3,611,608,980,372,375],"intervals":[{"from_index":89,"to_index":417,"sum":160232,"residue":3},{"from_index":417,"to_index":745,"sum":161823,"residue":611},{"from_index":745,"to_index":1073,"sum":173616,"residue":608},{"from_index":1073,"to_index":1401,"sum":161209,"residue":980},{"from_index":1401,"to_index":1729,"sum":159618,"residue":372},{"from_index":1729,"to_index":89,"sum":146842,"residue":375}],"minimal_cycle":[3,611,608,980,372,375],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":3,"start_interval_clock_positions":[89,417],"circle_positions":983,"cycle_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":[90,418,746,1074,1402,1730],"clock_positions":[90,418,746,1074,1402,1730],"native_values":[858,825,950,125,158,33],"rotation_degrees":16.463414634146343,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[858,825,950,125,158,33],"beta":{"interval_sums":[159871,161531,172702,161570,159910,147756],"interval_residues":[625,319,677,358,664,306],"display_cycle":[625,319,677,358,664,306],"intervals":[{"from_index":90,"to_index":418,"sum":159871,"residue":625},{"from_index":418,"to_index":746,"sum":161531,"residue":319},{"from_index":746,"to_index":1074,"sum":172702,"residue":677},{"from_index":1074,"to_index":1402,"sum":161570,"residue":358},{"from_index":1402,"to_index":1730,"sum":159910,"residue":664},{"from_index":1730,"to_index":90,"sum":147756,"residue":306}],"minimal_cycle":[625,319,677,358,664,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":625,"start_interval_clock_positions":[90,418],"circle_positions":983,"cycle_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":[91,419,747,1075,1403,1731],"clock_positions":[91,419,747,1075,1403,1731],"native_values":[822,339,500,161,644,483],"rotation_degrees":16.646341463414632,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[822,339,500,161,644,483],"beta":{"interval_sums":[159874,162142,172327,161567,159299,148131],"interval_residues":[628,930,302,355,53,681],"display_cycle":[628,930,302,355,53,681],"intervals":[{"from_index":91,"to_index":419,"sum":159874,"residue":628},{"from_index":419,"to_index":747,"sum":162142,"residue":930},{"from_index":747,"to_index":1075,"sum":172327,"residue":302},{"from_index":1075,"to_index":1403,"sum":161567,"residue":355},{"from_index":1403,"to_index":1731,"sum":159299,"residue":53},{"from_index":1731,"to_index":91,"sum":148131,"residue":681}],"minimal_cycle":[628,930,302,355,53,681],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[91,419],"circle_positions":983,"cycle_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":[92,420,748,1076,1404,1732],"clock_positions":[92,420,748,1076,1404,1732],"native_values":[697,181,467,286,802,516],"rotation_degrees":16.829268292682926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[697,181,467,286,802,516],"beta":{"interval_sums":[159516,162461,172021,161925,158980,148437],"interval_residues":[270,266,979,713,717,4],"display_cycle":[270,266,979,713,717,4],"intervals":[{"from_index":92,"to_index":420,"sum":159516,"residue":270},{"from_index":420,"to_index":748,"sum":162461,"residue":266},{"from_index":748,"to_index":1076,"sum":172021,"residue":979},{"from_index":1076,"to_index":1404,"sum":161925,"residue":713},{"from_index":1404,"to_index":1732,"sum":158980,"residue":717},{"from_index":1732,"to_index":92,"sum":148437,"residue":4}],"minimal_cycle":[270,266,979,713,717,4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":270,"start_interval_clock_positions":[92,420],"circle_positions":983,"cycle_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":[93,421,749,1077,1405,1733],"clock_positions":[93,421,749,1077,1405,1733],"native_values":[536,520,967,447,463,16],"rotation_degrees":17.01219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[536,520,967,447,463,16],"beta":{"interval_sums":[159161,162408,171340,162280,159033,149118],"interval_residues":[898,213,298,85,770,685],"display_cycle":[898,213,298,85,770,685],"intervals":[{"from_index":93,"to_index":421,"sum":159161,"residue":898},{"from_index":421,"to_index":749,"sum":162408,"residue":213},{"from_index":749,"to_index":1077,"sum":171340,"residue":298},{"from_index":1077,"to_index":1405,"sum":162280,"residue":85},{"from_index":1405,"to_index":1733,"sum":159033,"residue":770},{"from_index":1733,"to_index":93,"sum":149118,"residue":685}],"minimal_cycle":[898,213,298,85,770,685],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":898,"start_interval_clock_positions":[93,421],"circle_positions":983,"cycle_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":[94,422,750,1078,1406,1734],"clock_positions":[94,422,750,1078,1406,1734],"native_values":[250,701,451,733,282,532],"rotation_degrees":17.195121951219512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[250,701,451,733,282,532],"beta":{"interval_sums":[159431,162674,171336,162010,158767,149122],"interval_residues":[185,479,294,798,504,689],"display_cycle":[185,479,294,798,504,689],"intervals":[{"from_index":94,"to_index":422,"sum":159431,"residue":185},{"from_index":422,"to_index":750,"sum":162674,"residue":479},{"from_index":750,"to_index":1078,"sum":171336,"residue":294},{"from_index":1078,"to_index":1406,"sum":162010,"residue":798},{"from_index":1406,"to_index":1734,"sum":158767,"residue":504},{"from_index":1734,"to_index":94,"sum":149122,"residue":689}],"minimal_cycle":[185,479,294,798,504,689],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":185,"start_interval_clock_positions":[94,422],"circle_positions":983,"cycle_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":[95,423,751,1079,1407,1735],"clock_positions":[95,423,751,1079,1407,1735],"native_values":[786,238,435,197,745,548],"rotation_degrees":17.378048780487806,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[786,238,435,197,745,548],"beta":{"interval_sums":[159346,162887,171634,162095,158554,148824],"interval_residues":[100,692,592,883,291,391],"display_cycle":[100,692,592,883,291,391],"intervals":[{"from_index":95,"to_index":423,"sum":159346,"residue":100},{"from_index":423,"to_index":751,"sum":162887,"residue":692},{"from_index":751,"to_index":1079,"sum":171634,"residue":592},{"from_index":1079,"to_index":1407,"sum":162095,"residue":883},{"from_index":1407,"to_index":1735,"sum":158554,"residue":291},{"from_index":1735,"to_index":95,"sum":148824,"residue":391}],"minimal_cycle":[100,692,592,883,291,391],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":100,"start_interval_clock_positions":[95,423],"circle_positions":983,"cycle_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":[96,424,752,1080,1408,1736],"clock_positions":[96,424,752,1080,1408,1736],"native_values":[53,939,886,930,44,97],"rotation_degrees":17.5609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,939,886,930,44,97],"beta":{"interval_sums":[159531,162383,170945,161910,159058,149513],"interval_residues":[285,188,886,698,795,97],"display_cycle":[285,188,886,698,795,97],"intervals":[{"from_index":96,"to_index":424,"sum":159531,"residue":285},{"from_index":424,"to_index":752,"sum":162383,"residue":188},{"from_index":752,"to_index":1080,"sum":170945,"residue":886},{"from_index":1080,"to_index":1408,"sum":161910,"residue":698},{"from_index":1408,"to_index":1736,"sum":159058,"residue":795},{"from_index":1736,"to_index":96,"sum":149513,"residue":97}],"minimal_cycle":[285,188,886,698,795,97],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":285,"start_interval_clock_positions":[96,424],"circle_positions":983,"cycle_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":[97,425,753,1081,1409,1737],"clock_positions":[97,425,753,1081,1409,1737],"native_values":[839,194,338,144,789,645],"rotation_degrees":17.74390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[839,194,338,144,789,645],"beta":{"interval_sums":[159631,163075,171537,161810,158366,148921],"interval_residues":[385,880,495,598,103,488],"display_cycle":[385,880,495,598,103,488],"intervals":[{"from_index":97,"to_index":425,"sum":159631,"residue":385},{"from_index":425,"to_index":753,"sum":163075,"residue":880},{"from_index":753,"to_index":1081,"sum":171537,"residue":495},{"from_index":1081,"to_index":1409,"sum":161810,"residue":598},{"from_index":1409,"to_index":1737,"sum":158366,"residue":103},{"from_index":1737,"to_index":97,"sum":148921,"residue":488}],"minimal_cycle":[385,880,495,598,103,488],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":385,"start_interval_clock_positions":[97,425],"circle_positions":983,"cycle_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":[98,426,754,1082,1410,1738],"clock_positions":[98,426,754,1082,1410,1738],"native_values":[892,150,241,91,833,742],"rotation_degrees":17.926829268292682,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[892,150,241,91,833,742],"beta":{"interval_sums":[158933,163263,171440,162508,158178,149018],"interval_residues":[670,85,398,313,898,585],"display_cycle":[670,85,398,313,898,585],"intervals":[{"from_index":98,"to_index":426,"sum":158933,"residue":670},{"from_index":426,"to_index":754,"sum":163263,"residue":85},{"from_index":754,"to_index":1082,"sum":171440,"residue":398},{"from_index":1082,"to_index":1410,"sum":162508,"residue":313},{"from_index":1410,"to_index":1738,"sum":158178,"residue":898},{"from_index":1738,"to_index":98,"sum":149018,"residue":585}],"minimal_cycle":[670,85,398,313,898,585],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":670,"start_interval_clock_positions":[98,426],"circle_positions":983,"cycle_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":[99,427,755,1083,1411,1739],"clock_positions":[99,427,755,1083,1411,1739],"native_values":[748,344,579,235,639,404],"rotation_degrees":18.109756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[748,344,579,235,639,404],"beta":{"interval_sums":[158335,163160,170952,163106,158281,149506],"interval_residues":[72,965,893,911,18,90],"display_cycle":[72,965,893,911,18,90],"intervals":[{"from_index":99,"to_index":427,"sum":158335,"residue":72},{"from_index":427,"to_index":755,"sum":163160,"residue":965},{"from_index":755,"to_index":1083,"sum":170952,"residue":893},{"from_index":1083,"to_index":1411,"sum":163106,"residue":911},{"from_index":1411,"to_index":1739,"sum":158281,"residue":18},{"from_index":1739,"to_index":99,"sum":149506,"residue":90}],"minimal_cycle":[72,965,893,911,18,90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[99,427],"circle_positions":983,"cycle_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":[100,428,756,1084,1412,1740],"clock_positions":[100,428,756,1084,1412,1740],"native_values":[657,494,820,326,489,163],"rotation_degrees":18.29268292682927,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,494,820,326,489,163],"beta":{"interval_sums":[158022,163245,170367,163419,158196,150091],"interval_residues":[742,67,308,241,916,675],"display_cycle":[742,67,308,241,916,675],"intervals":[{"from_index":100,"to_index":428,"sum":158022,"residue":742},{"from_index":428,"to_index":756,"sum":163245,"residue":67},{"from_index":756,"to_index":1084,"sum":170367,"residue":308},{"from_index":1084,"to_index":1412,"sum":163419,"residue":241},{"from_index":1412,"to_index":1740,"sum":158196,"residue":916},{"from_index":1740,"to_index":100,"sum":150091,"residue":675}],"minimal_cycle":[742,67,308,241,916,675],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":742,"start_interval_clock_positions":[100,428],"circle_positions":983,"cycle_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":[101,429,757,1085,1413,1741],"clock_positions":[101,429,757,1085,1413,1741],"native_values":[422,838,416,561,145,567],"rotation_degrees":18.475609756097562,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[422,838,416,561,145,567],"beta":{"interval_sums":[158094,163227,170277,163347,158214,150181],"interval_residues":[814,49,218,169,934,765],"display_cycle":[814,49,218,169,934,765],"intervals":[{"from_index":101,"to_index":429,"sum":158094,"residue":814},{"from_index":429,"to_index":757,"sum":163227,"residue":49},{"from_index":757,"to_index":1085,"sum":170277,"residue":218},{"from_index":1085,"to_index":1413,"sum":163347,"residue":169},{"from_index":1413,"to_index":1741,"sum":158214,"residue":934},{"from_index":1741,"to_index":101,"sum":150181,"residue":765}],"minimal_cycle":[814,49,218,169,934,765],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":814,"start_interval_clock_positions":[101,429],"circle_positions":983,"cycle_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":[102,430,758,1086,1414,1742],"clock_positions":[102,430,758,1086,1414,1742],"native_values":[96,349,253,887,634,730],"rotation_degrees":18.658536585365855,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[96,349,253,887,634,730],"beta":{"interval_sums":[158836,163294,170585,162605,158147,149873],"interval_residues":[573,116,526,410,867,457],"display_cycle":[573,116,526,410,867,457],"intervals":[{"from_index":102,"to_index":430,"sum":158836,"residue":573},{"from_index":430,"to_index":758,"sum":163294,"residue":116},{"from_index":758,"to_index":1086,"sum":170585,"residue":526},{"from_index":1086,"to_index":1414,"sum":162605,"residue":410},{"from_index":1414,"to_index":1742,"sum":158147,"residue":867},{"from_index":1742,"to_index":102,"sum":149873,"residue":457}],"minimal_cycle":[573,116,526,410,867,457],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":573,"start_interval_clock_positions":[102,430],"circle_positions":983,"cycle_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":[103,431,759,1087,1415,1743],"clock_positions":[103,431,759,1087,1415,1743],"native_values":[518,204,669,465,779,314],"rotation_degrees":18.841463414634145,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[518,204,669,465,779,314],"beta":{"interval_sums":[158667,163343,170803,162774,158098,149655],"interval_residues":[404,165,744,579,818,239],"display_cycle":[404,165,744,579,818,239],"intervals":[{"from_index":103,"to_index":431,"sum":158667,"residue":404},{"from_index":431,"to_index":759,"sum":163343,"residue":165},{"from_index":759,"to_index":1087,"sum":170803,"residue":744},{"from_index":1087,"to_index":1415,"sum":162774,"residue":579},{"from_index":1415,"to_index":1743,"sum":158098,"residue":818},{"from_index":1743,"to_index":103,"sum":149655,"residue":239}],"minimal_cycle":[404,165,744,579,818,239],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":404,"start_interval_clock_positions":[103,431],"circle_positions":983,"cycle_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":[104,432,760,1088,1416,1744],"clock_positions":[104,432,760,1088,1416,1744],"native_values":[614,553,922,369,430,61],"rotation_degrees":19.024390243902438,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[614,553,922,369,430,61],"beta":{"interval_sums":[158257,163459,170346,163184,157982,150112],"interval_residues":[977,281,287,6,702,696],"display_cycle":[977,281,287,6,702,696],"intervals":[{"from_index":104,"to_index":432,"sum":158257,"residue":977},{"from_index":432,"to_index":760,"sum":163459,"residue":281},{"from_index":760,"to_index":1088,"sum":170346,"residue":287},{"from_index":1088,"to_index":1416,"sum":163184,"residue":6},{"from_index":1416,"to_index":1744,"sum":157982,"residue":702},{"from_index":1744,"to_index":104,"sum":150112,"residue":696}],"minimal_cycle":[977,281,287,6,702,696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":977,"start_interval_clock_positions":[104,432],"circle_positions":983,"cycle_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":[105,433,761,1089,1417,1745],"clock_positions":[105,433,761,1089,1417,1745],"native_values":[149,757,608,834,226,375],"rotation_degrees":19.20731707317073,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,757,608,834,226,375],"beta":{"interval_sums":[158661,163624,170107,162780,157817,150351],"interval_residues":[398,446,48,585,537,935],"display_cycle":[398,446,48,585,537,935],"intervals":[{"from_index":105,"to_index":433,"sum":158661,"residue":398},{"from_index":433,"to_index":761,"sum":163624,"residue":446},{"from_index":761,"to_index":1089,"sum":170107,"residue":48},{"from_index":1089,"to_index":1417,"sum":162780,"residue":585},{"from_index":1417,"to_index":1745,"sum":157817,"residue":537},{"from_index":1745,"to_index":105,"sum":150351,"residue":935}],"minimal_cycle":[398,446,48,585,537,935],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":398,"start_interval_clock_positions":[105,433],"circle_positions":983,"cycle_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":[106,434,762,1090,1418,1746],"clock_positions":[106,434,762,1090,1418,1746],"native_values":[763,327,547,220,656,436],"rotation_degrees":19.390243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[763,327,547,220,656,436],"beta":{"interval_sums":[158655,163905,170394,162786,157536,150064],"interval_residues":[392,727,335,591,256,648],"display_cycle":[392,727,335,591,256,648],"intervals":[{"from_index":106,"to_index":434,"sum":158655,"residue":392},{"from_index":434,"to_index":762,"sum":163905,"residue":727},{"from_index":762,"to_index":1090,"sum":170394,"residue":335},{"from_index":1090,"to_index":1418,"sum":162786,"residue":591},{"from_index":1418,"to_index":1746,"sum":157536,"residue":256},{"from_index":1746,"to_index":106,"sum":150064,"residue":648}],"minimal_cycle":[392,727,335,591,256,648],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[106,434],"circle_positions":983,"cycle_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":[107,435,763,1091,1419,1747],"clock_positions":[107,435,763,1091,1419,1747],"native_values":[912,101,172,71,882,811],"rotation_degrees":19.573170731707318,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[912,101,172,71,882,811],"beta":{"interval_sums":[158070,164351,170442,163371,157090,150016],"interval_residues":[790,190,383,193,793,600],"display_cycle":[790,190,383,193,793,600],"intervals":[{"from_index":107,"to_index":435,"sum":158070,"residue":790},{"from_index":435,"to_index":763,"sum":164351,"residue":190},{"from_index":763,"to_index":1091,"sum":170442,"residue":383},{"from_index":1091,"to_index":1419,"sum":163371,"residue":193},{"from_index":1419,"to_index":1747,"sum":157090,"residue":793},{"from_index":1747,"to_index":107,"sum":150016,"residue":600}],"minimal_cycle":[790,190,383,193,793,600],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":790,"start_interval_clock_positions":[107,435],"circle_positions":983,"cycle_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":[108,436,764,1092,1420,1748],"clock_positions":[108,436,764,1092,1420,1748],"native_values":[692,428,719,291,555,264],"rotation_degrees":19.75609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[692,428,719,291,555,264],"beta":{"interval_sums":[157479,164095,169794,163962,157346,150664],"interval_residues":[199,917,718,784,66,265],"display_cycle":[199,917,718,784,66,265],"intervals":[{"from_index":108,"to_index":436,"sum":157479,"residue":199},{"from_index":436,"to_index":764,"sum":164095,"residue":917},{"from_index":764,"to_index":1092,"sum":169794,"residue":718},{"from_index":1092,"to_index":1420,"sum":163962,"residue":784},{"from_index":1420,"to_index":1748,"sum":157346,"residue":66},{"from_index":1748,"to_index":108,"sum":150664,"residue":265}],"minimal_cycle":[199,917,718,784,66,265],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":199,"start_interval_clock_positions":[108,436],"circle_positions":983,"cycle_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":[109,437,765,1093,1421,1749],"clock_positions":[109,437,765,1093,1421,1749],"native_values":[621,529,891,362,454,92],"rotation_degrees":19.9390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[621,529,891,362,454,92],"beta":{"interval_sums":[157286,164285,169194,164155,157156,151264],"interval_residues":[6,124,118,977,859,865],"display_cycle":[6,124,118,977,859,865],"intervals":[{"from_index":109,"to_index":437,"sum":157286,"residue":6},{"from_index":437,"to_index":765,"sum":164285,"residue":124},{"from_index":765,"to_index":1093,"sum":169194,"residue":118},{"from_index":1093,"to_index":1421,"sum":164155,"residue":977},{"from_index":1421,"to_index":1749,"sum":157156,"residue":859},{"from_index":1749,"to_index":109,"sum":151264,"residue":865}],"minimal_cycle":[6,124,118,977,859,865],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[109,437],"circle_positions":983,"cycle_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":[110,438,766,1094,1422,1750],"clock_positions":[110,438,766,1094,1422,1750],"native_values":[330,957,627,653,26,356],"rotation_degrees":20.121951219512194,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[330,957,627,653,26,356],"beta":{"interval_sums":[157485,164219,168929,163956,157222,151529],"interval_residues":[205,58,836,778,925,147],"display_cycle":[205,58,836,778,925,147],"intervals":[{"from_index":110,"to_index":438,"sum":157485,"residue":205},{"from_index":438,"to_index":766,"sum":164219,"residue":58},{"from_index":766,"to_index":1094,"sum":168929,"residue":836},{"from_index":1094,"to_index":1422,"sum":163956,"residue":778},{"from_index":1422,"to_index":1750,"sum":157222,"residue":925},{"from_index":1750,"to_index":110,"sum":151529,"residue":147}],"minimal_cycle":[205,58,836,778,925,147],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":205,"start_interval_clock_positions":[110,438],"circle_positions":983,"cycle_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":[111,439,767,1095,1423,1751],"clock_positions":[111,439,767,1095,1423,1751],"native_values":[951,503,535,32,480,448],"rotation_degrees":20.304878048780488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[951,503,535,32,480,448],"beta":{"interval_sums":[157491,164343,169047,163950,157098,151411],"interval_residues":[211,182,954,772,801,29],"display_cycle":[211,182,954,772,801,29],"intervals":[{"from_index":111,"to_index":439,"sum":157491,"residue":211},{"from_index":439,"to_index":767,"sum":164343,"residue":182},{"from_index":767,"to_index":1095,"sum":169047,"residue":954},{"from_index":1095,"to_index":1423,"sum":163950,"residue":772},{"from_index":1423,"to_index":1751,"sum":157098,"residue":801},{"from_index":1751,"to_index":111,"sum":151411,"residue":29}],"minimal_cycle":[211,182,954,772,801,29],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":211,"start_interval_clock_positions":[111,439],"circle_positions":983,"cycle_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":[112,440,768,1096,1424,1752],"clock_positions":[112,440,768,1096,1424,1752],"native_values":[298,477,179,685,506,804],"rotation_degrees":20.48780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[298,477,179,685,506,804],"beta":{"interval_sums":[157696,164401,168900,163745,157040,151558],"interval_residues":[416,240,807,567,743,176],"display_cycle":[416,240,807,567,743,176],"intervals":[{"from_index":112,"to_index":440,"sum":157696,"residue":416},{"from_index":440,"to_index":768,"sum":164401,"residue":240},{"from_index":768,"to_index":1096,"sum":168900,"residue":807},{"from_index":1096,"to_index":1424,"sum":163745,"residue":567},{"from_index":1424,"to_index":1752,"sum":157040,"residue":743},{"from_index":1752,"to_index":112,"sum":151558,"residue":176}],"minimal_cycle":[416,240,807,567,743,176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[112,440],"circle_positions":983,"cycle_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":[113,441,769,1097,1425,1753],"clock_positions":[113,441,769,1097,1425,1753],"native_values":[266,980,714,717,3,269],"rotation_degrees":20.670731707317074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[266,980,714,717,3,269],"beta":{"interval_sums":[157907,163600,168871,163534,157841,151587],"interval_residues":[627,422,778,356,561,205],"display_cycle":[627,422,778,356,561,205],"intervals":[{"from_index":113,"to_index":441,"sum":157907,"residue":627},{"from_index":441,"to_index":769,"sum":163600,"residue":422},{"from_index":769,"to_index":1097,"sum":168871,"residue":778},{"from_index":1097,"to_index":1425,"sum":163534,"residue":356},{"from_index":1425,"to_index":1753,"sum":157841,"residue":561},{"from_index":1753,"to_index":113,"sum":151587,"residue":205}],"minimal_cycle":[627,422,778,356,561,205],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":627,"start_interval_clock_positions":[113,441],"circle_positions":983,"cycle_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":[114,442,770,1098,1426,1754],"clock_positions":[114,442,770,1098,1426,1754],"native_values":[564,474,893,419,509,90],"rotation_degrees":20.853658536585368,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[564,474,893,419,509,90],"beta":{"interval_sums":[158323,163840,168695,163118,157601,151763],"interval_residues":[60,662,602,923,321,381],"display_cycle":[60,662,602,923,321,381],"intervals":[{"from_index":114,"to_index":442,"sum":158323,"residue":60},{"from_index":442,"to_index":770,"sum":163840,"residue":662},{"from_index":770,"to_index":1098,"sum":168695,"residue":602},{"from_index":1098,"to_index":1426,"sum":163118,"residue":923},{"from_index":1426,"to_index":1754,"sum":157601,"residue":321},{"from_index":1754,"to_index":114,"sum":151763,"residue":381}],"minimal_cycle":[60,662,602,923,321,381],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[114,442],"circle_positions":983,"cycle_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":[115,443,771,1099,1427,1755],"clock_positions":[115,443,771,1099,1427,1755],"native_values":[830,471,624,153,512,359],"rotation_degrees":21.036585365853657,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[830,471,624,153,512,359],"beta":{"interval_sums":[157967,164262,168490,163474,157179,151968],"interval_residues":[687,101,397,296,882,586],"display_cycle":[687,101,397,296,882,586],"intervals":[{"from_index":115,"to_index":443,"sum":157967,"residue":687},{"from_index":443,"to_index":771,"sum":164262,"residue":101},{"from_index":771,"to_index":1099,"sum":168490,"residue":397},{"from_index":1099,"to_index":1427,"sum":163474,"residue":296},{"from_index":1427,"to_index":1755,"sum":157179,"residue":882},{"from_index":1755,"to_index":115,"sum":151968,"residue":586}],"minimal_cycle":[687,101,397,296,882,586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":687,"start_interval_clock_positions":[115,443],"circle_positions":983,"cycle_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":[116,444,772,1100,1428,1756],"clock_positions":[116,444,772,1100,1428,1756],"native_values":[411,945,534,572,38,449],"rotation_degrees":21.21951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[411,945,534,572,38,449],"beta":{"interval_sums":[158027,163941,168109,163414,157500,152349],"interval_residues":[747,763,16,236,220,967],"display_cycle":[747,763,16,236,220,967],"intervals":[{"from_index":116,"to_index":444,"sum":158027,"residue":747},{"from_index":444,"to_index":772,"sum":163941,"residue":763},{"from_index":772,"to_index":1100,"sum":168109,"residue":16},{"from_index":1100,"to_index":1428,"sum":163414,"residue":236},{"from_index":1428,"to_index":1756,"sum":157500,"residue":220},{"from_index":1756,"to_index":116,"sum":152349,"residue":967}],"minimal_cycle":[747,763,16,236,220,967],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":747,"start_interval_clock_positions":[116,444],"circle_positions":983,"cycle_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":[117,445,773,1101,1429,1757],"clock_positions":[117,445,773,1101,1429,1757],"native_values":[258,433,175,725,550,808],"rotation_degrees":21.402439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[258,433,175,725,550,808],"beta":{"interval_sums":[158714,164042,168506,162727,157399,151952],"interval_residues":[451,864,413,532,119,570],"display_cycle":[451,864,413,532,119,570],"intervals":[{"from_index":117,"to_index":445,"sum":158714,"residue":451},{"from_index":445,"to_index":773,"sum":164042,"residue":864},{"from_index":773,"to_index":1101,"sum":168506,"residue":413},{"from_index":1101,"to_index":1429,"sum":162727,"residue":532},{"from_index":1429,"to_index":1757,"sum":157399,"residue":119},{"from_index":1757,"to_index":117,"sum":151952,"residue":570}],"minimal_cycle":[451,864,413,532,119,570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":451,"start_interval_clock_positions":[117,445],"circle_positions":983,"cycle_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":[118,446,774,1102,1430,1758],"clock_positions":[118,446,774,1102,1430,1758],"native_values":[669,395,709,314,588,274],"rotation_degrees":21.585365853658537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,395,709,314,588,274],"beta":{"interval_sums":[158478,163822,168522,162963,157619,151936],"interval_residues":[215,644,429,768,339,554],"display_cycle":[215,644,429,768,339,554],"intervals":[{"from_index":118,"to_index":446,"sum":158478,"residue":215},{"from_index":446,"to_index":774,"sum":163822,"residue":644},{"from_index":774,"to_index":1102,"sum":168522,"residue":429},{"from_index":1102,"to_index":1430,"sum":162963,"residue":768},{"from_index":1430,"to_index":1758,"sum":157619,"residue":339},{"from_index":1758,"to_index":118,"sum":151936,"residue":554}],"minimal_cycle":[215,644,429,768,339,554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":215,"start_interval_clock_positions":[118,446],"circle_positions":983,"cycle_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":[119,447,775,1103,1431,1759],"clock_positions":[119,447,775,1103,1431,1759],"native_values":[927,828,884,56,155,99],"rotation_degrees":21.76829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[927,828,884,56,155,99],"beta":{"interval_sums":[157946,163703,167952,163495,157738,152506],"interval_residues":[666,525,842,317,458,141],"display_cycle":[666,525,842,317,458,141],"intervals":[{"from_index":119,"to_index":447,"sum":157946,"residue":666},{"from_index":447,"to_index":775,"sum":163703,"residue":525},{"from_index":775,"to_index":1103,"sum":167952,"residue":842},{"from_index":1103,"to_index":1431,"sum":163495,"residue":317},{"from_index":1431,"to_index":1759,"sum":157738,"residue":458},{"from_index":1759,"to_index":119,"sum":152506,"residue":141}],"minimal_cycle":[666,525,842,317,458,141],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":666,"start_interval_clock_positions":[119,447],"circle_positions":983,"cycle_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":[120,448,776,1104,1432,1760],"clock_positions":[120,448,776,1104,1432,1760],"native_values":[613,240,610,370,743,373],"rotation_degrees":21.951219512195124,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[613,240,610,370,743,373],"beta":{"interval_sums":[158161,164347,167398,163280,157094,153060],"interval_residues":[881,186,288,102,797,695],"display_cycle":[881,186,288,102,797,695],"intervals":[{"from_index":120,"to_index":448,"sum":158161,"residue":881},{"from_index":448,"to_index":776,"sum":164347,"residue":186},{"from_index":776,"to_index":1104,"sum":167398,"residue":288},{"from_index":1104,"to_index":1432,"sum":163280,"residue":102},{"from_index":1432,"to_index":1760,"sum":157094,"residue":797},{"from_index":1760,"to_index":120,"sum":153060,"residue":695}],"minimal_cycle":[881,186,288,102,797,695],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":881,"start_interval_clock_positions":[120,448],"circle_positions":983,"cycle_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":[121,449,777,1105,1433,1761],"clock_positions":[121,449,777,1105,1433,1761],"native_values":[557,85,511,426,898,472],"rotation_degrees":22.134146341463413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,85,511,426,898,472],"beta":{"interval_sums":[157844,164872,167257,163597,156569,153201],"interval_residues":[564,711,147,419,272,836],"display_cycle":[564,711,147,419,272,836],"intervals":[{"from_index":121,"to_index":449,"sum":157844,"residue":564},{"from_index":449,"to_index":777,"sum":164872,"residue":711},{"from_index":777,"to_index":1105,"sum":167257,"residue":147},{"from_index":1105,"to_index":1433,"sum":163597,"residue":419},{"from_index":1433,"to_index":1761,"sum":156569,"residue":272},{"from_index":1761,"to_index":121,"sum":153201,"residue":836}],"minimal_cycle":[564,711,147,419,272,836],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":564,"start_interval_clock_positions":[121,449],"circle_positions":983,"cycle_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":[122,450,778,1106,1434,1762],"clock_positions":[122,450,778,1106,1434,1762],"native_values":[187,325,138,796,658,845],"rotation_degrees":22.317073170731707,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[187,325,138,796,658,845],"beta":{"interval_sums":[157742,165058,167545,163699,156383,152913],"interval_residues":[462,897,435,521,86,548],"display_cycle":[462,897,435,521,86,548],"intervals":[{"from_index":122,"to_index":450,"sum":157742,"residue":462},{"from_index":450,"to_index":778,"sum":165058,"residue":897},{"from_index":778,"to_index":1106,"sum":167545,"residue":435},{"from_index":1106,"to_index":1434,"sum":163699,"residue":521},{"from_index":1434,"to_index":1762,"sum":156383,"residue":86},{"from_index":1762,"to_index":122,"sum":152913,"residue":548}],"minimal_cycle":[462,897,435,521,86,548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":462,"start_interval_clock_positions":[122,450],"circle_positions":983,"cycle_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":[123,451,779,1107,1435,1763],"clock_positions":[123,451,779,1107,1435,1763],"native_values":[744,410,649,239,573,334],"rotation_degrees":22.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[744,410,649,239,573,334],"beta":{"interval_sums":[157323,164786,167692,164118,156655,152766],"interval_residues":[43,625,582,940,358,401],"display_cycle":[43,625,582,940,358,401],"intervals":[{"from_index":123,"to_index":451,"sum":157323,"residue":43},{"from_index":451,"to_index":779,"sum":164786,"residue":625},{"from_index":779,"to_index":1107,"sum":167692,"residue":582},{"from_index":1107,"to_index":1435,"sum":164118,"residue":940},{"from_index":1435,"to_index":1763,"sum":156655,"residue":358},{"from_index":1763,"to_index":123,"sum":152766,"residue":401}],"minimal_cycle":[43,625,582,940,358,401],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":43,"start_interval_clock_positions":[123,451],"circle_positions":983,"cycle_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":[124,452,780,1108,1436,1764],"clock_positions":[124,452,780,1108,1436,1764],"native_values":[931,735,787,52,248,196],"rotation_degrees":22.682926829268293,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[931,735,787,52,248,196],"beta":{"interval_sums":[156802,164700,167144,164639,156741,153314],"interval_residues":[505,539,34,478,444,949],"display_cycle":[505,539,34,478,444,949],"intervals":[{"from_index":124,"to_index":452,"sum":156802,"residue":505},{"from_index":452,"to_index":780,"sum":164700,"residue":539},{"from_index":780,"to_index":1108,"sum":167144,"residue":34},{"from_index":1108,"to_index":1436,"sum":164639,"residue":478},{"from_index":1436,"to_index":1764,"sum":156741,"residue":444},{"from_index":1764,"to_index":124,"sum":153314,"residue":949}],"minimal_cycle":[505,539,34,478,444,949],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":505,"start_interval_clock_positions":[124,452],"circle_positions":983,"cycle_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":[125,453,781,1109,1437,1765],"clock_positions":[125,453,781,1109,1437,1765],"native_values":[692,162,453,291,821,530],"rotation_degrees":22.865853658536587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[692,162,453,291,821,530],"beta":{"interval_sums":[156845,165325,166743,164596,156116,153715],"interval_residues":[548,181,616,435,802,367],"display_cycle":[548,181,616,435,802,367],"intervals":[{"from_index":125,"to_index":453,"sum":156845,"residue":548},{"from_index":453,"to_index":781,"sum":165325,"residue":181},{"from_index":781,"to_index":1109,"sum":166743,"residue":616},{"from_index":1109,"to_index":1437,"sum":164596,"residue":435},{"from_index":1437,"to_index":1765,"sum":156116,"residue":802},{"from_index":1765,"to_index":125,"sum":153715,"residue":367}],"minimal_cycle":[548,181,616,435,802,367],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":548,"start_interval_clock_positions":[125,453],"circle_positions":983,"cycle_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":[126,454,782,1110,1438,1766],"clock_positions":[126,454,782,1110,1438,1766],"native_values":[640,897,257,343,86,726],"rotation_degrees":23.048780487804876,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[640,897,257,343,86,726],"beta":{"interval_sums":[156367,164881,166777,165074,156560,153681],"interval_residues":[70,720,650,913,263,333],"display_cycle":[70,720,650,913,263,333],"intervals":[{"from_index":126,"to_index":454,"sum":156367,"residue":70},{"from_index":454,"to_index":782,"sum":164881,"residue":720},{"from_index":782,"to_index":1110,"sum":166777,"residue":650},{"from_index":1110,"to_index":1438,"sum":165074,"residue":913},{"from_index":1438,"to_index":1766,"sum":156560,"residue":263},{"from_index":1766,"to_index":126,"sum":153681,"residue":333}],"minimal_cycle":[70,720,650,913,263,333],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[126,454],"circle_positions":983,"cycle_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":[127,455,783,1111,1439,1767],"clock_positions":[127,455,783,1111,1439,1767],"native_values":[349,76,710,634,907,273],"rotation_degrees":23.23170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,76,710,634,907,273],"beta":{"interval_sums":[156915,165062,166410,164526,156379,154048],"interval_residues":[618,901,283,365,82,700],"display_cycle":[618,901,283,365,82,700],"intervals":[{"from_index":127,"to_index":455,"sum":156915,"residue":618},{"from_index":455,"to_index":783,"sum":165062,"residue":901},{"from_index":783,"to_index":1111,"sum":166410,"residue":283},{"from_index":1111,"to_index":1439,"sum":164526,"residue":365},{"from_index":1439,"to_index":1767,"sum":156379,"residue":82},{"from_index":1767,"to_index":127,"sum":154048,"residue":700}],"minimal_cycle":[618,901,283,365,82,700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":618,"start_interval_clock_positions":[127,455],"circle_positions":983,"cycle_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":[128,456,784,1112,1440,1768],"clock_positions":[128,456,784,1112,1440,1768],"native_values":[6,973,967,977,10,16],"rotation_degrees":23.414634146341463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[6,973,967,977,10,16],"beta":{"interval_sums":[156985,164799,166077,164456,156642,154381],"interval_residues":[688,638,933,295,345,50],"display_cycle":[688,638,933,295,345,50],"intervals":[{"from_index":128,"to_index":456,"sum":156985,"residue":688},{"from_index":456,"to_index":784,"sum":164799,"residue":638},{"from_index":784,"to_index":1112,"sum":166077,"residue":933},{"from_index":1112,"to_index":1440,"sum":164456,"residue":295},{"from_index":1440,"to_index":1768,"sum":156642,"residue":345},{"from_index":1768,"to_index":128,"sum":154381,"residue":50}],"minimal_cycle":[688,638,933,295,345,50],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":688,"start_interval_clock_positions":[128,456],"circle_positions":983,"cycle_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":[129,457,785,1113,1441,1769],"clock_positions":[129,457,785,1113,1441,1769],"native_values":[355,66,694,628,917,289],"rotation_degrees":23.597560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,66,694,628,917,289],"beta":{"interval_sums":[157603,165700,166360,163838,155741,154098],"interval_residues":[323,556,233,660,427,750],"display_cycle":[323,556,233,660,427,750],"intervals":[{"from_index":129,"to_index":457,"sum":157603,"residue":323},{"from_index":457,"to_index":785,"sum":165700,"residue":556},{"from_index":785,"to_index":1113,"sum":166360,"residue":233},{"from_index":1113,"to_index":1441,"sum":163838,"residue":660},{"from_index":1441,"to_index":1769,"sum":155741,"residue":427},{"from_index":1769,"to_index":129,"sum":154098,"residue":750}],"minimal_cycle":[323,556,233,660,427,750],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":323,"start_interval_clock_positions":[129,457],"circle_positions":983,"cycle_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":[130,458,786,1114,1442,1770],"clock_positions":[130,458,786,1114,1442,1770],"native_values":[361,56,678,622,927,305],"rotation_degrees":23.78048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[361,56,678,622,927,305],"beta":{"interval_sums":[157308,166338,166310,164133,155103,154148],"interval_residues":[28,211,183,955,772,800],"display_cycle":[28,211,183,955,772,800],"intervals":[{"from_index":130,"to_index":458,"sum":157308,"residue":28},{"from_index":458,"to_index":786,"sum":166338,"residue":211},{"from_index":786,"to_index":1114,"sum":166310,"residue":183},{"from_index":1114,"to_index":1442,"sum":164133,"residue":955},{"from_index":1442,"to_index":1770,"sum":155103,"residue":772},{"from_index":1770,"to_index":130,"sum":154148,"residue":800}],"minimal_cycle":[28,211,183,955,772,800],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[130,458],"circle_positions":983,"cycle_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":[131,459,787,1115,1443,1771],"clock_positions":[131,459,787,1115,1443,1771],"native_values":[716,122,389,267,861,594],"rotation_degrees":23.963414634146343,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[716,122,389,267,861,594],"beta":{"interval_sums":[156648,166894,166543,164793,154547,153915],"interval_residues":[351,767,416,632,216,567],"display_cycle":[351,767,416,632,216,567],"intervals":[{"from_index":131,"to_index":459,"sum":156648,"residue":351},{"from_index":459,"to_index":787,"sum":166894,"residue":767},{"from_index":787,"to_index":1115,"sum":166543,"residue":416},{"from_index":1115,"to_index":1443,"sum":164793,"residue":632},{"from_index":1443,"to_index":1771,"sum":154547,"residue":216},{"from_index":1771,"to_index":131,"sum":153915,"residue":567}],"minimal_cycle":[351,767,416,632,216,567],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":351,"start_interval_clock_positions":[131,459],"circle_positions":983,"cycle_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":[132,460,788,1116,1444,1772],"clock_positions":[132,460,788,1116,1444,1772],"native_values":[94,178,84,889,805,899],"rotation_degrees":24.146341463414632,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[94,178,84,889,805,899],"beta":{"interval_sums":[156676,167105,166726,164765,154336,153732],"interval_residues":[379,978,599,604,5,384],"display_cycle":[379,978,599,604,5,384],"intervals":[{"from_index":132,"to_index":460,"sum":156676,"residue":379},{"from_index":460,"to_index":788,"sum":167105,"residue":978},{"from_index":788,"to_index":1116,"sum":166726,"residue":599},{"from_index":1116,"to_index":1444,"sum":164765,"residue":604},{"from_index":1444,"to_index":1772,"sum":154336,"residue":5},{"from_index":1772,"to_index":132,"sum":153732,"residue":384}],"minimal_cycle":[379,978,599,604,5,384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":379,"start_interval_clock_positions":[132,460],"circle_positions":983,"cycle_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":[133,461,789,1117,1445,1773],"clock_positions":[133,461,789,1117,1445,1773],"native_values":[810,300,473,173,683,510],"rotation_degrees":24.329268292682926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[810,300,473,173,683,510],"beta":{"interval_sums":[156044,166889,167142,165397,154552,153316],"interval_residues":[730,762,32,253,221,951],"display_cycle":[730,762,32,253,221,951],"intervals":[{"from_index":133,"to_index":461,"sum":156044,"residue":730},{"from_index":461,"to_index":789,"sum":166889,"residue":762},{"from_index":789,"to_index":1117,"sum":167142,"residue":32},{"from_index":1117,"to_index":1445,"sum":165397,"residue":253},{"from_index":1445,"to_index":1773,"sum":154552,"residue":221},{"from_index":1773,"to_index":133,"sum":153316,"residue":951}],"minimal_cycle":[730,762,32,253,221,951],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":730,"start_interval_clock_positions":[133,461],"circle_positions":983,"cycle_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":[134,462,790,1118,1446,1774],"clock_positions":[134,462,790,1118,1446,1774],"native_values":[904,478,557,79,505,426],"rotation_degrees":24.51219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[904,478,557,79,505,426],"beta":{"interval_sums":[155440,166884,166758,166001,154557,153700],"interval_residues":[126,757,631,857,226,352],"display_cycle":[126,757,631,857,226,352],"intervals":[{"from_index":134,"to_index":462,"sum":155440,"residue":126},{"from_index":462,"to_index":790,"sum":166884,"residue":757},{"from_index":790,"to_index":1118,"sum":166758,"residue":631},{"from_index":1118,"to_index":1446,"sum":166001,"residue":857},{"from_index":1446,"to_index":1774,"sum":154557,"residue":226},{"from_index":1774,"to_index":134,"sum":153700,"residue":352}],"minimal_cycle":[126,757,631,857,226,352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[134,462],"circle_positions":983,"cycle_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":[135,463,791,1119,1447,1775],"clock_positions":[135,463,791,1119,1447,1775],"native_values":[731,778,47,252,205,936],"rotation_degrees":24.695121951219512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[731,778,47,252,205,936],"beta":{"interval_sums":[155187,166663,166790,166254,154778,153668],"interval_residues":[856,536,663,127,447,320],"display_cycle":[856,536,663,127,447,320],"intervals":[{"from_index":135,"to_index":463,"sum":155187,"residue":856},{"from_index":463,"to_index":791,"sum":166663,"residue":536},{"from_index":791,"to_index":1119,"sum":166790,"residue":663},{"from_index":1119,"to_index":1447,"sum":166254,"residue":127},{"from_index":1447,"to_index":1775,"sum":154778,"residue":447},{"from_index":1775,"to_index":135,"sum":153668,"residue":320}],"minimal_cycle":[856,536,663,127,447,320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":856,"start_interval_clock_positions":[135,463],"circle_positions":983,"cycle_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":[136,464,792,1120,1448,1776],"clock_positions":[136,464,792,1120,1448,1776],"native_values":[652,273,604,331,710,379],"rotation_degrees":24.878048780487806,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[652,273,604,331,710,379],"beta":{"interval_sums":[155313,166437,166438,166128,155004,154020],"interval_residues":[982,310,311,1,673,672],"display_cycle":[982,310,311,1,673,672],"intervals":[{"from_index":136,"to_index":464,"sum":155313,"residue":982},{"from_index":464,"to_index":792,"sum":166437,"residue":310},{"from_index":792,"to_index":1120,"sum":166438,"residue":311},{"from_index":1120,"to_index":1448,"sum":166128,"residue":1},{"from_index":1448,"to_index":1776,"sum":155004,"residue":673},{"from_index":1776,"to_index":136,"sum":154020,"residue":672}],"minimal_cycle":[982,310,311,1,673,672],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":982,"start_interval_clock_positions":[136,464],"circle_positions":983,"cycle_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":[137,465,793,1121,1449,1777],"clock_positions":[137,465,793,1121,1449,1777],"native_values":[400,68,651,583,915,332],"rotation_degrees":25.0609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[400,68,651,583,915,332],"beta":{"interval_sums":[155186,166973,166118,166255,154468,154340],"interval_residues":[855,846,974,128,137,9],"display_cycle":[855,846,974,128,137,9],"intervals":[{"from_index":137,"to_index":465,"sum":155186,"residue":855},{"from_index":465,"to_index":793,"sum":166973,"residue":846},{"from_index":793,"to_index":1121,"sum":166118,"residue":974},{"from_index":1121,"to_index":1449,"sum":166255,"residue":128},{"from_index":1449,"to_index":1777,"sum":154468,"residue":137},{"from_index":1777,"to_index":137,"sum":154340,"residue":9}],"minimal_cycle":[855,846,974,128,137,9],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":855,"start_interval_clock_positions":[137,465],"circle_positions":983,"cycle_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":[138,466,794,1122,1450,1778],"clock_positions":[138,466,794,1122,1450,1778],"native_values":[69,341,272,914,642,711],"rotation_degrees":25.24390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[69,341,272,914,642,711],"beta":{"interval_sums":[155185,167283,166429,166256,154158,154029],"interval_residues":[854,173,302,129,810,681],"display_cycle":[854,173,302,129,810,681],"intervals":[{"from_index":138,"to_index":466,"sum":155185,"residue":854},{"from_index":466,"to_index":794,"sum":167283,"residue":173},{"from_index":794,"to_index":1122,"sum":166429,"residue":302},{"from_index":1122,"to_index":1450,"sum":166256,"residue":129},{"from_index":1450,"to_index":1778,"sum":154158,"residue":810},{"from_index":1778,"to_index":138,"sum":154029,"residue":681}],"minimal_cycle":[854,173,302,129,810,681],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":854,"start_interval_clock_positions":[138,466],"circle_positions":983,"cycle_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":[139,467,795,1123,1451,1779],"clock_positions":[139,467,795,1123,1451,1779],"native_values":[469,409,923,514,574,60],"rotation_degrees":25.426829268292682,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,409,923,514,574,60],"beta":{"interval_sums":[155057,167146,166420,166384,154295,154038],"interval_residues":[726,36,293,257,947,690],"display_cycle":[726,36,293,257,947,690],"intervals":[{"from_index":139,"to_index":467,"sum":155057,"residue":726},{"from_index":467,"to_index":795,"sum":167146,"residue":36},{"from_index":795,"to_index":1123,"sum":166420,"residue":293},{"from_index":1123,"to_index":1451,"sum":166384,"residue":257},{"from_index":1451,"to_index":1779,"sum":154295,"residue":947},{"from_index":1779,"to_index":139,"sum":154038,"residue":690}],"minimal_cycle":[726,36,293,257,947,690],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":726,"start_interval_clock_positions":[139,467],"circle_positions":983,"cycle_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":[140,468,796,1124,1452,1780],"clock_positions":[140,468,796,1124,1452,1780],"native_values":[538,750,212,445,233,771],"rotation_degrees":25.609756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[538,750,212,445,233,771],"beta":{"interval_sums":[154928,167319,166722,166513,154122,153736],"interval_residues":[597,209,595,386,774,388],"display_cycle":[597,209,595,386,774,388],"intervals":[{"from_index":140,"to_index":468,"sum":154928,"residue":597},{"from_index":468,"to_index":796,"sum":167319,"residue":209},{"from_index":796,"to_index":1124,"sum":166722,"residue":595},{"from_index":1124,"to_index":1452,"sum":166513,"residue":386},{"from_index":1452,"to_index":1780,"sum":154122,"residue":774},{"from_index":1780,"to_index":140,"sum":153736,"residue":388}],"minimal_cycle":[597,209,595,386,774,388],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":597,"start_interval_clock_positions":[140,468],"circle_positions":983,"cycle_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":[141,469,797,1125,1453,1781],"clock_positions":[141,469,797,1125,1453,1781],"native_values":[24,176,152,959,807,831],"rotation_degrees":25.79268292682927,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[24,176,152,959,807,831],"beta":{"interval_sums":[155654,167355,167015,165787,154086,153443],"interval_residues":[340,245,888,643,738,95],"display_cycle":[340,245,888,643,738,95],"intervals":[{"from_index":141,"to_index":469,"sum":155654,"residue":340},{"from_index":469,"to_index":797,"sum":167355,"residue":245},{"from_index":797,"to_index":1125,"sum":167015,"residue":888},{"from_index":1125,"to_index":1453,"sum":165787,"residue":643},{"from_index":1453,"to_index":1781,"sum":154086,"residue":738},{"from_index":1781,"to_index":141,"sum":153443,"residue":95}],"minimal_cycle":[340,245,888,643,738,95],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":340,"start_interval_clock_positions":[141,469],"circle_positions":983,"cycle_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":[142,470,798,1126,1454,1782],"clock_positions":[142,470,798,1126,1454,1782],"native_values":[562,926,364,421,57,619],"rotation_degrees":25.975609756097562,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[562,926,364,421,57,619],"beta":{"interval_sums":[155268,166581,167610,166173,154860,152848],"interval_residues":[937,454,500,46,529,483],"display_cycle":[937,454,500,46,529,483],"intervals":[{"from_index":142,"to_index":470,"sum":155268,"residue":937},{"from_index":470,"to_index":798,"sum":166581,"residue":454},{"from_index":798,"to_index":1126,"sum":167610,"residue":500},{"from_index":1126,"to_index":1454,"sum":166173,"residue":46},{"from_index":1454,"to_index":1782,"sum":154860,"residue":529},{"from_index":1782,"to_index":142,"sum":152848,"residue":483}],"minimal_cycle":[937,454,500,46,529,483],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":937,"start_interval_clock_positions":[142,470],"circle_positions":983,"cycle_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":[143,471,799,1127,1455,1783],"clock_positions":[143,471,799,1127,1455,1783],"native_values":[586,119,516,397,864,467],"rotation_degrees":26.158536585365855,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[586,119,516,397,864,467],"beta":{"interval_sums":[155608,166826,167515,165833,154615,152943],"interval_residues":[294,699,405,689,284,578],"display_cycle":[294,699,405,689,284,578],"intervals":[{"from_index":143,"to_index":471,"sum":155608,"residue":294},{"from_index":471,"to_index":799,"sum":166826,"residue":699},{"from_index":799,"to_index":1127,"sum":167515,"residue":405},{"from_index":1127,"to_index":1455,"sum":165833,"residue":689},{"from_index":1455,"to_index":1783,"sum":154615,"residue":284},{"from_index":1783,"to_index":143,"sum":152943,"residue":578}],"minimal_cycle":[294,699,405,689,284,578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[143,471],"circle_positions":983,"cycle_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":[144,472,800,1128,1456,1784],"clock_positions":[144,472,800,1128,1456,1784],"native_values":[165,62,880,818,921,103],"rotation_degrees":26.341463414634145,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,62,880,818,921,103],"beta":{"interval_sums":[155562,167280,167032,165879,154161,153426],"interval_residues":[248,170,905,735,813,78],"display_cycle":[248,170,905,735,813,78],"intervals":[{"from_index":144,"to_index":472,"sum":155562,"residue":248},{"from_index":472,"to_index":800,"sum":167280,"residue":170},{"from_index":800,"to_index":1128,"sum":167032,"residue":905},{"from_index":1128,"to_index":1456,"sum":165879,"residue":735},{"from_index":1456,"to_index":1784,"sum":154161,"residue":813},{"from_index":1784,"to_index":144,"sum":153426,"residue":78}],"minimal_cycle":[248,170,905,735,813,78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[144,472],"circle_positions":983,"cycle_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":[145,473,801,1129,1457,1785],"clock_positions":[145,473,801,1129,1457,1785],"native_values":[751,181,413,232,802,570],"rotation_degrees":26.524390243902438,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[751,181,413,232,802,570],"beta":{"interval_sums":[154873,167979,167437,166568,153462,153021],"interval_residues":[542,869,327,441,114,656],"display_cycle":[542,869,327,441,114,656],"intervals":[{"from_index":145,"to_index":473,"sum":154873,"residue":542},{"from_index":473,"to_index":801,"sum":167979,"residue":869},{"from_index":801,"to_index":1129,"sum":167437,"residue":327},{"from_index":1129,"to_index":1457,"sum":166568,"residue":441},{"from_index":1457,"to_index":1785,"sum":153462,"residue":114},{"from_index":1785,"to_index":145,"sum":153021,"residue":656}],"minimal_cycle":[542,869,327,441,114,656],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[145,473],"circle_positions":983,"cycle_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":[146,474,802,1130,1458,1786],"clock_positions":[146,474,802,1130,1458,1786],"native_values":[916,243,310,67,740,673],"rotation_degrees":26.70731707317073,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[916,243,310,67,740,673],"beta":{"interval_sums":[154138,168149,167359,167303,153292,153099],"interval_residues":[790,56,249,193,927,734],"display_cycle":[790,56,249,193,927,734],"intervals":[{"from_index":146,"to_index":474,"sum":154138,"residue":790},{"from_index":474,"to_index":802,"sum":168149,"residue":56},{"from_index":802,"to_index":1130,"sum":167359,"residue":249},{"from_index":1130,"to_index":1458,"sum":167303,"residue":193},{"from_index":1458,"to_index":1786,"sum":153292,"residue":927},{"from_index":1786,"to_index":146,"sum":153099,"residue":734}],"minimal_cycle":[790,56,249,193,927,734],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":790,"start_interval_clock_positions":[146,474],"circle_positions":983,"cycle_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":[147,475,803,1131,1459,1787],"clock_positions":[147,475,803,1131,1459,1787],"native_values":[684,424,723,299,559,260],"rotation_degrees":26.890243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[684,424,723,299,559,260],"beta":{"interval_sums":[153697,168035,166703,167744,153406,153755],"interval_residues":[349,925,576,634,58,407],"display_cycle":[349,925,576,634,58,407],"intervals":[{"from_index":147,"to_index":475,"sum":153697,"residue":349},{"from_index":475,"to_index":803,"sum":168035,"residue":925},{"from_index":803,"to_index":1131,"sum":166703,"residue":576},{"from_index":1131,"to_index":1459,"sum":167744,"residue":634},{"from_index":1459,"to_index":1787,"sum":153406,"residue":58},{"from_index":1787,"to_index":147,"sum":153755,"residue":407}],"minimal_cycle":[349,925,576,634,58,407],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":349,"start_interval_clock_positions":[147,475],"circle_positions":983,"cycle_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":[148,476,804,1132,1460,1788],"clock_positions":[148,476,804,1132,1460,1788],"native_values":[617,667,50,366,316,933],"rotation_degrees":27.073170731707318,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[617,667,50,366,316,933],"beta":{"interval_sums":[153504,168091,166952,167937,153350,153506],"interval_residues":[156,981,825,827,2,158],"display_cycle":[156,981,825,827,2,158],"intervals":[{"from_index":148,"to_index":476,"sum":153504,"residue":156},{"from_index":476,"to_index":804,"sum":168091,"residue":981},{"from_index":804,"to_index":1132,"sum":166952,"residue":825},{"from_index":1132,"to_index":1460,"sum":167937,"residue":827},{"from_index":1460,"to_index":1788,"sum":153350,"residue":2},{"from_index":1788,"to_index":148,"sum":153506,"residue":158}],"minimal_cycle":[156,981,825,827,2,158],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[148,476],"circle_positions":983,"cycle_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":[149,477,805,1133,1461,1789],"clock_positions":[149,477,805,1133,1461,1789],"native_values":[318,108,773,665,875,210],"rotation_degrees":27.25609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[318,108,773,665,875,210],"beta":{"interval_sums":[153853,168033,166545,167588,153408,153913],"interval_residues":[505,923,418,478,60,565],"display_cycle":[505,923,418,478,60,565],"intervals":[{"from_index":149,"to_index":477,"sum":153853,"residue":505},{"from_index":477,"to_index":805,"sum":168033,"residue":923},{"from_index":805,"to_index":1133,"sum":166545,"residue":418},{"from_index":1133,"to_index":1461,"sum":167588,"residue":478},{"from_index":1461,"to_index":1789,"sum":153408,"residue":60},{"from_index":1789,"to_index":149,"sum":153913,"residue":565}],"minimal_cycle":[505,923,418,478,60,565],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":505,"start_interval_clock_positions":[149,477],"circle_positions":983,"cycle_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":[150,478,806,1134,1462,1790],"clock_positions":[150,478,806,1134,1462,1790],"native_values":[935,775,823,48,208,160],"rotation_degrees":27.4390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[935,775,823,48,208,160],"beta":{"interval_sums":[153026,168031,166387,168415,153410,154071],"interval_residues":[661,921,260,322,62,723],"display_cycle":[661,921,260,322,62,723],"intervals":[{"from_index":150,"to_index":478,"sum":153026,"residue":661},{"from_index":478,"to_index":806,"sum":168031,"residue":921},{"from_index":806,"to_index":1134,"sum":166387,"residue":260},{"from_index":1134,"to_index":1462,"sum":168415,"residue":322},{"from_index":1462,"to_index":1790,"sum":153410,"residue":62},{"from_index":1790,"to_index":150,"sum":154071,"residue":723}],"minimal_cycle":[661,921,260,322,62,723],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":661,"start_interval_clock_positions":[150,478],"circle_positions":983,"cycle_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":[151,479,807,1135,1463,1791],"clock_positions":[151,479,807,1135,1463,1791],"native_values":[270,883,613,713,100,370],"rotation_degrees":27.621951219512194,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[270,883,613,713,100,370],"beta":{"interval_sums":[153531,167971,165822,167910,153470,154636],"interval_residues":[183,861,678,800,122,305],"display_cycle":[183,861,678,800,122,305],"intervals":[{"from_index":151,"to_index":479,"sum":153531,"residue":183},{"from_index":479,"to_index":807,"sum":167971,"residue":861},{"from_index":807,"to_index":1135,"sum":165822,"residue":678},{"from_index":1135,"to_index":1463,"sum":167910,"residue":800},{"from_index":1463,"to_index":1791,"sum":153470,"residue":122},{"from_index":1791,"to_index":151,"sum":154636,"residue":305}],"minimal_cycle":[183,861,678,800,122,305],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":183,"start_interval_clock_positions":[151,479],"circle_positions":983,"cycle_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":[152,480,808,1136,1464,1792],"clock_positions":[152,480,808,1136,1464,1792],"native_values":[222,675,453,761,308,530],"rotation_degrees":27.804878048780488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[222,675,453,761,308,530],"beta":{"interval_sums":[154192,167909,166082,167249,153532,154376],"interval_residues":[844,799,938,139,184,45],"display_cycle":[844,799,938,139,184,45],"intervals":[{"from_index":152,"to_index":480,"sum":154192,"residue":844},{"from_index":480,"to_index":808,"sum":167909,"residue":799},{"from_index":808,"to_index":1136,"sum":166082,"residue":938},{"from_index":1136,"to_index":1464,"sum":167249,"residue":139},{"from_index":1464,"to_index":1792,"sum":153532,"residue":184},{"from_index":1792,"to_index":152,"sum":154376,"residue":45}],"minimal_cycle":[844,799,938,139,184,45],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":844,"start_interval_clock_positions":[152,480],"circle_positions":983,"cycle_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":[153,481,809,1137,1465,1793],"clock_positions":[153,481,809,1137,1465,1793],"native_values":[492,575,83,491,408,900],"rotation_degrees":27.98780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,575,83,491,408,900],"beta":{"interval_sums":[154375,167787,166760,167066,153654,153698],"interval_residues":[44,677,633,939,306,350],"display_cycle":[44,677,633,939,306,350],"intervals":[{"from_index":153,"to_index":481,"sum":154375,"residue":44},{"from_index":481,"to_index":809,"sum":167787,"residue":677},{"from_index":809,"to_index":1137,"sum":166760,"residue":633},{"from_index":1137,"to_index":1465,"sum":167066,"residue":939},{"from_index":1465,"to_index":1793,"sum":153654,"residue":306},{"from_index":1793,"to_index":153,"sum":153698,"residue":350}],"minimal_cycle":[44,677,633,939,306,350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":44,"start_interval_clock_positions":[153,481],"circle_positions":983,"cycle_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":[154,482,810,1138,1466,1794],"clock_positions":[154,482,810,1138,1466,1794],"native_values":[714,267,536,269,716,447],"rotation_degrees":28.170731707317074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[714,267,536,269,716,447],"beta":{"interval_sums":[154236,167603,166715,167205,153838,153743],"interval_residues":[888,493,588,95,490,395],"display_cycle":[888,493,588,95,490,395],"intervals":[{"from_index":154,"to_index":482,"sum":154236,"residue":888},{"from_index":482,"to_index":810,"sum":167603,"residue":493},{"from_index":810,"to_index":1138,"sum":166715,"residue":588},{"from_index":1138,"to_index":1466,"sum":167205,"residue":95},{"from_index":1466,"to_index":1794,"sum":153838,"residue":490},{"from_index":1794,"to_index":154,"sum":153743,"residue":395}],"minimal_cycle":[888,493,588,95,490,395],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":888,"start_interval_clock_positions":[154,482],"circle_positions":983,"cycle_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":[155,483,811,1139,1467,1795],"clock_positions":[155,483,811,1139,1467,1795],"native_values":[223,842,619,760,141,364],"rotation_degrees":28.353658536585368,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,842,619,760,141,364],"beta":{"interval_sums":[154280,167297,166365,167161,154144,154093],"interval_residues":[932,187,238,51,796,745],"display_cycle":[932,187,238,51,796,745],"intervals":[{"from_index":155,"to_index":483,"sum":154280,"residue":932},{"from_index":483,"to_index":811,"sum":167297,"residue":187},{"from_index":811,"to_index":1139,"sum":166365,"residue":238},{"from_index":1139,"to_index":1467,"sum":167161,"residue":51},{"from_index":1467,"to_index":1795,"sum":154144,"residue":796},{"from_index":1795,"to_index":155,"sum":154093,"residue":745}],"minimal_cycle":[932,187,238,51,796,745],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":932,"start_interval_clock_positions":[155,483],"circle_positions":983,"cycle_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":[156,484,812,1140,1468,1796],"clock_positions":[156,484,812,1140,1468,1796],"native_values":[937,126,172,46,857,811],"rotation_degrees":28.536585365853657,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[937,126,172,46,857,811],"beta":{"interval_sums":[154185,167790,166953,167256,153651,153505],"interval_residues":[837,680,826,146,303,157],"display_cycle":[837,680,826,146,303,157],"intervals":[{"from_index":156,"to_index":484,"sum":154185,"residue":837},{"from_index":484,"to_index":812,"sum":167790,"residue":680},{"from_index":812,"to_index":1140,"sum":166953,"residue":826},{"from_index":1140,"to_index":1468,"sum":167256,"residue":146},{"from_index":1468,"to_index":1796,"sum":153651,"residue":303},{"from_index":1796,"to_index":156,"sum":153505,"residue":157}],"minimal_cycle":[837,680,826,146,303,157],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":837,"start_interval_clock_positions":[156,484],"circle_positions":983,"cycle_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":[157,485,813,1141,1469,1797],"clock_positions":[157,485,813,1141,1469,1797],"native_values":[177,968,791,806,15,192],"rotation_degrees":28.71951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,968,791,806,15,192],"beta":{"interval_sums":[154134,166994,166208,167307,154447,154250],"interval_residues":[786,867,81,197,116,902],"display_cycle":[786,867,81,197,116,902],"intervals":[{"from_index":157,"to_index":485,"sum":154134,"residue":786},{"from_index":485,"to_index":813,"sum":166994,"residue":867},{"from_index":813,"to_index":1141,"sum":166208,"residue":81},{"from_index":1141,"to_index":1469,"sum":167307,"residue":197},{"from_index":1469,"to_index":1797,"sum":154447,"residue":116},{"from_index":1797,"to_index":157,"sum":154250,"residue":902}],"minimal_cycle":[786,867,81,197,116,902],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":786,"start_interval_clock_positions":[157,485],"circle_positions":983,"cycle_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":[158,486,814,1142,1470,1798],"clock_positions":[158,486,814,1142,1470,1798],"native_values":[131,111,963,852,872,20],"rotation_degrees":28.902439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,111,963,852,872,20],"beta":{"interval_sums":[154971,167674,166051,166470,153767,154407],"interval_residues":[640,564,907,343,419,76],"display_cycle":[640,564,907,343,419,76],"intervals":[{"from_index":158,"to_index":486,"sum":154971,"residue":640},{"from_index":486,"to_index":814,"sum":167674,"residue":564},{"from_index":814,"to_index":1142,"sum":166051,"residue":907},{"from_index":1142,"to_index":1470,"sum":166470,"residue":343},{"from_index":1470,"to_index":1798,"sum":153767,"residue":419},{"from_index":1798,"to_index":158,"sum":154407,"residue":76}],"minimal_cycle":[640,564,907,343,419,76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":640,"start_interval_clock_positions":[158,486],"circle_positions":983,"cycle_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":[159,487,815,1143,1471,1799],"clock_positions":[159,487,815,1143,1471,1799],"native_values":[308,96,771,675,887,212],"rotation_degrees":29.085365853658537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[308,96,771,675,887,212],"beta":{"interval_sums":[154774,168541,166132,166667,152900,154326],"interval_residues":[443,448,5,540,535,978],"display_cycle":[443,448,5,540,535,978],"intervals":[{"from_index":159,"to_index":487,"sum":154774,"residue":443},{"from_index":487,"to_index":815,"sum":168541,"residue":448},{"from_index":815,"to_index":1143,"sum":166132,"residue":5},{"from_index":1143,"to_index":1471,"sum":166667,"residue":540},{"from_index":1471,"to_index":1799,"sum":152900,"residue":535},{"from_index":1799,"to_index":159,"sum":154326,"residue":978}],"minimal_cycle":[443,448,5,540,535,978],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":443,"start_interval_clock_positions":[159,487],"circle_positions":983,"cycle_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":[160,488,816,1144,1472,1800],"clock_positions":[160,488,816,1144,1472,1800],"native_values":[439,207,751,544,776,232],"rotation_degrees":29.26829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[439,207,751,544,776,232],"beta":{"interval_sums":[154431,169105,166056,167010,152336,154402],"interval_residues":[100,29,912,883,954,71],"display_cycle":[100,29,912,883,954,71],"intervals":[{"from_index":160,"to_index":488,"sum":154431,"residue":100},{"from_index":488,"to_index":816,"sum":169105,"residue":29},{"from_index":816,"to_index":1144,"sum":166056,"residue":912},{"from_index":1144,"to_index":1472,"sum":167010,"residue":883},{"from_index":1472,"to_index":1800,"sum":152336,"residue":954},{"from_index":1800,"to_index":160,"sum":154402,"residue":71}],"minimal_cycle":[100,29,912,883,954,71],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":100,"start_interval_clock_positions":[160,488],"circle_positions":983,"cycle_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":[161,489,817,1145,1473,1801],"clock_positions":[161,489,817,1145,1473,1801],"native_values":[747,303,539,236,680,444],"rotation_degrees":29.451219512195124,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[747,303,539,236,680,444],"beta":{"interval_sums":[153891,169553,166061,167550,151888,154397],"interval_residues":[543,477,917,440,506,66],"display_cycle":[543,477,917,440,506,66],"intervals":[{"from_index":161,"to_index":489,"sum":153891,"residue":543},{"from_index":489,"to_index":817,"sum":169553,"residue":477},{"from_index":817,"to_index":1145,"sum":166061,"residue":917},{"from_index":1145,"to_index":1473,"sum":167550,"residue":440},{"from_index":1473,"to_index":1801,"sum":151888,"residue":506},{"from_index":1801,"to_index":161,"sum":154397,"residue":66}],"minimal_cycle":[543,477,917,440,506,66],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":543,"start_interval_clock_positions":[161,489],"circle_positions":983,"cycle_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":[162,490,818,1146,1474,1802],"clock_positions":[162,490,818,1146,1474,1802],"native_values":[203,510,307,780,473,676],"rotation_degrees":29.634146341463413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,510,307,780,473,676],"beta":{"interval_sums":[153991,169582,165990,167450,151859,154468],"interval_residues":[643,506,846,340,477,137],"display_cycle":[643,506,846,340,477,137],"intervals":[{"from_index":162,"to_index":490,"sum":153991,"residue":643},{"from_index":490,"to_index":818,"sum":169582,"residue":506},{"from_index":818,"to_index":1146,"sum":165990,"residue":846},{"from_index":1146,"to_index":1474,"sum":167450,"residue":340},{"from_index":1474,"to_index":1802,"sum":151859,"residue":477},{"from_index":1802,"to_index":162,"sum":154468,"residue":137}],"minimal_cycle":[643,506,846,340,477,137],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":643,"start_interval_clock_positions":[162,490],"circle_positions":983,"cycle_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":[163,491,819,1147,1475,1803],"clock_positions":[163,491,819,1147,1475,1803],"native_values":[950,813,846,33,170,137],"rotation_degrees":29.817073170731707,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[950,813,846,33,170,137],"beta":{"interval_sums":[153551,169076,165924,167890,152365,154534],"interval_residues":[203,0,780,780,0,203],"display_cycle":[203,983,780,780,983,203],"intervals":[{"from_index":163,"to_index":491,"sum":153551,"residue":203},{"from_index":491,"to_index":819,"sum":169076,"residue":0},{"from_index":819,"to_index":1147,"sum":165924,"residue":780},{"from_index":1147,"to_index":1475,"sum":167890,"residue":780},{"from_index":1475,"to_index":1803,"sum":152365,"residue":0},{"from_index":1803,"to_index":163,"sum":154534,"residue":203}],"minimal_cycle":[203,0,780,780,0,203],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":203,"start_interval_clock_positions":[163,491],"circle_positions":983,"cycle_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":[164,492,820,1148,1476,1804],"clock_positions":[164,492,820,1148,1476,1804],"native_values":[170,340,170,813,643,813],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[170,340,170,813,643,813],"beta":{"interval_sums":[154194,169582,165787,167247,151859,154671],"interval_residues":[846,506,643,137,477,340],"display_cycle":[846,506,643,137,477,340],"intervals":[{"from_index":164,"to_index":492,"sum":154194,"residue":846},{"from_index":492,"to_index":820,"sum":169582,"residue":506},{"from_index":820,"to_index":1148,"sum":165787,"residue":643},{"from_index":1148,"to_index":1476,"sum":167247,"residue":137},{"from_index":1476,"to_index":1804,"sum":151859,"residue":477},{"from_index":1804,"to_index":164,"sum":154671,"residue":340}],"minimal_cycle":[846,506,643,137,477,340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":846,"start_interval_clock_positions":[164,492],"circle_positions":983,"cycle_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":[165,493,821,1149,1477,1805],"clock_positions":[165,493,821,1149,1477,1805],"native_values":[137,170,33,846,813,950],"rotation_degrees":30.182926829268293,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,170,33,846,813,950],"beta":{"interval_sums":[154397,169582,166567,167044,151859,153891],"interval_residues":[66,506,440,917,477,543],"display_cycle":[66,506,440,917,477,543],"intervals":[{"from_index":165,"to_index":493,"sum":154397,"residue":66},{"from_index":493,"to_index":821,"sum":169582,"residue":506},{"from_index":821,"to_index":1149,"sum":166567,"residue":440},{"from_index":1149,"to_index":1477,"sum":167044,"residue":917},{"from_index":1477,"to_index":1805,"sum":151859,"residue":477},{"from_index":1805,"to_index":165,"sum":153891,"residue":543}],"minimal_cycle":[66,506,440,917,477,543],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":66,"start_interval_clock_positions":[165,493],"circle_positions":983,"cycle_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":[166,494,822,1150,1478,1806],"clock_positions":[166,494,822,1150,1478,1806],"native_values":[307,510,203,676,473,780],"rotation_degrees":30.365853658536587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,510,203,676,473,780],"beta":{"interval_sums":[154260,169105,167210,167181,152336,153248],"interval_residues":[912,29,100,71,954,883],"display_cycle":[912,29,100,71,954,883],"intervals":[{"from_index":166,"to_index":494,"sum":154260,"residue":912},{"from_index":494,"to_index":822,"sum":169105,"residue":29},{"from_index":822,"to_index":1150,"sum":167210,"residue":100},{"from_index":1150,"to_index":1478,"sum":167181,"residue":71},{"from_index":1478,"to_index":1806,"sum":152336,"residue":954},{"from_index":1806,"to_index":166,"sum":153248,"residue":883}],"minimal_cycle":[912,29,100,71,954,883],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":912,"start_interval_clock_positions":[166,494],"circle_positions":983,"cycle_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":[167,495,823,1151,1479,1807],"clock_positions":[167,495,823,1151,1479,1807],"native_values":[444,680,236,539,303,747],"rotation_degrees":30.548780487804876,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[444,680,236,539,303,747],"beta":{"interval_sums":[154326,168628,167650,167115,152813,152808],"interval_residues":[978,535,540,5,448,443],"display_cycle":[978,535,540,5,448,443],"intervals":[{"from_index":167,"to_index":495,"sum":154326,"residue":978},{"from_index":495,"to_index":823,"sum":168628,"residue":535},{"from_index":823,"to_index":1151,"sum":167650,"residue":540},{"from_index":1151,"to_index":1479,"sum":167115,"residue":5},{"from_index":1479,"to_index":1807,"sum":152813,"residue":448},{"from_index":1807,"to_index":167,"sum":152808,"residue":443}],"minimal_cycle":[978,535,540,5,448,443],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":978,"start_interval_clock_positions":[167,495],"circle_positions":983,"cycle_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":[168,496,824,1152,1480,1808],"clock_positions":[168,496,824,1152,1480,1808],"native_values":[751,207,439,232,776,544],"rotation_degrees":30.73170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[751,207,439,232,776,544],"beta":{"interval_sums":[154255,168657,167750,167186,152784,152708],"interval_residues":[907,564,640,76,419,343],"display_cycle":[907,564,640,76,419,343],"intervals":[{"from_index":168,"to_index":496,"sum":154255,"residue":907},{"from_index":496,"to_index":824,"sum":168657,"residue":564},{"from_index":824,"to_index":1152,"sum":167750,"residue":640},{"from_index":1152,"to_index":1480,"sum":167186,"residue":76},{"from_index":1480,"to_index":1808,"sum":152784,"residue":419},{"from_index":1808,"to_index":168,"sum":152708,"residue":343}],"minimal_cycle":[907,564,640,76,419,343],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":907,"start_interval_clock_positions":[168,496],"circle_positions":983,"cycle_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":[169,497,825,1153,1481,1809],"clock_positions":[169,497,825,1153,1481,1809],"native_values":[212,887,675,771,96,308],"rotation_degrees":30.914634146341463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[212,887,675,771,96,308],"beta":{"interval_sums":[154250,168209,167307,167191,153232,153151],"interval_residues":[902,116,197,81,867,786],"display_cycle":[902,116,197,81,867,786],"intervals":[{"from_index":169,"to_index":497,"sum":154250,"residue":902},{"from_index":497,"to_index":825,"sum":168209,"residue":116},{"from_index":825,"to_index":1153,"sum":167307,"residue":197},{"from_index":1153,"to_index":1481,"sum":167191,"residue":81},{"from_index":1481,"to_index":1809,"sum":153232,"residue":867},{"from_index":1809,"to_index":169,"sum":153151,"residue":786}],"minimal_cycle":[902,116,197,81,867,786],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":902,"start_interval_clock_positions":[169,497],"circle_positions":983,"cycle_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":[170,498,826,1154,1482,1810],"clock_positions":[170,498,826,1154,1482,1810],"native_values":[963,111,131,20,872,852],"rotation_degrees":31.097560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[963,111,131,20,872,852],"beta":{"interval_sums":[154174,168773,167947,167267,152668,152511],"interval_residues":[826,680,837,157,303,146],"display_cycle":[826,680,837,157,303,146],"intervals":[{"from_index":170,"to_index":498,"sum":154174,"residue":826},{"from_index":498,"to_index":826,"sum":168773,"residue":680},{"from_index":826,"to_index":1154,"sum":167947,"residue":837},{"from_index":1154,"to_index":1482,"sum":167267,"residue":157},{"from_index":1482,"to_index":1810,"sum":152668,"residue":303},{"from_index":1810,"to_index":170,"sum":152511,"residue":146}],"minimal_cycle":[826,680,837,157,303,146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":826,"start_interval_clock_positions":[170,498],"circle_positions":983,"cycle_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":[171,499,827,1155,1483,1811],"clock_positions":[171,499,827,1155,1483,1811],"native_values":[192,15,806,791,968,177],"rotation_degrees":31.28048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[192,15,806,791,968,177],"beta":{"interval_sums":[154093,168889,167161,167348,152552,153297],"interval_residues":[745,796,51,238,187,932],"display_cycle":[745,796,51,238,187,932],"intervals":[{"from_index":171,"to_index":499,"sum":154093,"residue":745},{"from_index":499,"to_index":827,"sum":168889,"residue":796},{"from_index":827,"to_index":1155,"sum":167161,"residue":51},{"from_index":1155,"to_index":1483,"sum":167348,"residue":238},{"from_index":1483,"to_index":1811,"sum":152552,"residue":187},{"from_index":1811,"to_index":171,"sum":153297,"residue":932}],"minimal_cycle":[745,796,51,238,187,932],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":745,"start_interval_clock_positions":[171,499],"circle_positions":983,"cycle_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":[172,500,828,1156,1484,1812],"clock_positions":[172,500,828,1156,1484,1812],"native_values":[172,126,937,811,857,46],"rotation_degrees":31.463414634146343,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[172,126,937,811,857,46],"beta":{"interval_sums":[153936,169569,167015,167505,151872,153443],"interval_residues":[588,493,888,395,490,95],"display_cycle":[588,493,888,395,490,95],"intervals":[{"from_index":172,"to_index":500,"sum":153936,"residue":588},{"from_index":500,"to_index":828,"sum":169569,"residue":493},{"from_index":828,"to_index":1156,"sum":167015,"residue":888},{"from_index":1156,"to_index":1484,"sum":167505,"residue":395},{"from_index":1484,"to_index":1812,"sum":151872,"residue":490},{"from_index":1812,"to_index":172,"sum":153443,"residue":95}],"minimal_cycle":[588,493,888,395,490,95],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[172,500],"circle_positions":983,"cycle_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":[173,501,829,1157,1485,1813],"clock_positions":[173,501,829,1157,1485,1813],"native_values":[364,141,760,619,842,223],"rotation_degrees":31.646341463414632,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[364,141,760,619,842,223],"beta":{"interval_sums":[153698,170365,167066,167743,151076,153392],"interval_residues":[350,306,939,633,677,44],"display_cycle":[350,306,939,633,677,44],"intervals":[{"from_index":173,"to_index":501,"sum":153698,"residue":350},{"from_index":501,"to_index":829,"sum":170365,"residue":306},{"from_index":829,"to_index":1157,"sum":167066,"residue":939},{"from_index":1157,"to_index":1485,"sum":167743,"residue":633},{"from_index":1485,"to_index":1813,"sum":151076,"residue":677},{"from_index":1813,"to_index":173,"sum":153392,"residue":44}],"minimal_cycle":[350,306,939,633,677,44],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[173,501],"circle_positions":983,"cycle_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":[174,502,830,1158,1486,1814],"clock_positions":[174,502,830,1158,1486,1814],"native_values":[536,267,714,447,716,269],"rotation_degrees":31.829268292682926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[536,267,714,447,716,269],"beta":{"interval_sums":[153303,170858,166971,168138,150583,153487],"interval_residues":[938,799,844,45,184,139],"display_cycle":[938,799,844,45,184,139],"intervals":[{"from_index":174,"to_index":502,"sum":153303,"residue":938},{"from_index":502,"to_index":830,"sum":170858,"residue":799},{"from_index":830,"to_index":1158,"sum":166971,"residue":844},{"from_index":1158,"to_index":1486,"sum":168138,"residue":45},{"from_index":1486,"to_index":1814,"sum":150583,"residue":184},{"from_index":1814,"to_index":174,"sum":153487,"residue":139}],"minimal_cycle":[938,799,844,45,184,139],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":938,"start_interval_clock_positions":[174,502],"circle_positions":983,"cycle_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":[175,503,831,1159,1487,1815],"clock_positions":[175,503,831,1159,1487,1815],"native_values":[900,408,491,83,575,492],"rotation_degrees":32.01219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[900,408,491,83,575,492],"beta":{"interval_sums":[152670,171164,166927,168771,150277,153531],"interval_residues":[305,122,800,678,861,183],"display_cycle":[305,122,800,678,861,183],"intervals":[{"from_index":175,"to_index":503,"sum":152670,"residue":305},{"from_index":503,"to_index":831,"sum":171164,"residue":122},{"from_index":831,"to_index":1159,"sum":166927,"residue":800},{"from_index":1159,"to_index":1487,"sum":168771,"residue":678},{"from_index":1487,"to_index":1815,"sum":150277,"residue":861},{"from_index":1815,"to_index":175,"sum":153531,"residue":183}],"minimal_cycle":[305,122,800,678,861,183],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":305,"start_interval_clock_positions":[175,503],"circle_positions":983,"cycle_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":[176,504,832,1160,1488,1816],"clock_positions":[176,504,832,1160,1488,1816],"native_values":[453,675,222,530,308,761],"rotation_degrees":32.19512195121951,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[453,675,222,530,308,761],"beta":{"interval_sums":[152625,170980,166788,168816,150461,153670],"interval_residues":[260,921,661,723,62,322],"display_cycle":[260,921,661,723,62,322],"intervals":[{"from_index":176,"to_index":504,"sum":152625,"residue":260},{"from_index":504,"to_index":832,"sum":170980,"residue":921},{"from_index":832,"to_index":1160,"sum":166788,"residue":661},{"from_index":1160,"to_index":1488,"sum":168816,"residue":723},{"from_index":1488,"to_index":1816,"sum":150461,"residue":62},{"from_index":1816,"to_index":176,"sum":153670,"residue":322}],"minimal_cycle":[260,921,661,723,62,322],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":260,"start_interval_clock_positions":[176,504],"circle_positions":983,"cycle_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":[177,505,833,1161,1489,1817],"clock_positions":[177,505,833,1161,1489,1817],"native_values":[370,100,713,613,883,270],"rotation_degrees":32.3780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[370,100,713,613,883,270],"beta":{"interval_sums":[152930,171102,166605,168511,150339,153853],"interval_residues":[565,60,478,418,923,505],"display_cycle":[565,60,478,418,923,505],"intervals":[{"from_index":177,"to_index":505,"sum":152930,"residue":565},{"from_index":505,"to_index":833,"sum":171102,"residue":60},{"from_index":833,"to_index":1161,"sum":166605,"residue":478},{"from_index":1161,"to_index":1489,"sum":168511,"residue":418},{"from_index":1489,"to_index":1817,"sum":150339,"residue":923},{"from_index":1817,"to_index":177,"sum":153853,"residue":505}],"minimal_cycle":[565,60,478,418,923,505],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":565,"start_interval_clock_positions":[177,505],"circle_positions":983,"cycle_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":[178,506,834,1162,1490,1818],"clock_positions":[178,506,834,1162,1490,1818],"native_values":[823,775,935,160,208,48],"rotation_degrees":32.5609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[823,775,935,160,208,48],"beta":{"interval_sums":[152207,171040,166283,169234,150401,154175],"interval_residues":[825,981,156,158,2,827],"display_cycle":[825,981,156,158,2,827],"intervals":[{"from_index":178,"to_index":506,"sum":152207,"residue":825},{"from_index":506,"to_index":834,"sum":171040,"residue":981},{"from_index":834,"to_index":1162,"sum":166283,"residue":156},{"from_index":1162,"to_index":1490,"sum":169234,"residue":158},{"from_index":1490,"to_index":1818,"sum":150401,"residue":2},{"from_index":1818,"to_index":178,"sum":154175,"residue":827}],"minimal_cycle":[825,981,156,158,2,827],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":825,"start_interval_clock_positions":[178,506],"circle_positions":983,"cycle_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":[179,507,835,1163,1491,1819],"clock_positions":[179,507,835,1163,1491,1819],"native_values":[210,875,665,773,108,318],"rotation_degrees":32.74390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[210,875,665,773,108,318],"beta":{"interval_sums":[152772,171100,165778,168669,150341,154680],"interval_residues":[407,58,634,576,925,349],"display_cycle":[407,58,634,576,925,349],"intervals":[{"from_index":179,"to_index":507,"sum":152772,"residue":407},{"from_index":507,"to_index":835,"sum":171100,"residue":58},{"from_index":835,"to_index":1163,"sum":165778,"residue":634},{"from_index":1163,"to_index":1491,"sum":168669,"residue":576},{"from_index":1491,"to_index":1819,"sum":150341,"residue":925},{"from_index":1819,"to_index":179,"sum":154680,"residue":349}],"minimal_cycle":[407,58,634,576,925,349],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":407,"start_interval_clock_positions":[179,507],"circle_positions":983,"cycle_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":[180,508,836,1164,1492,1820],"clock_positions":[180,508,836,1164,1492,1820],"native_values":[50,667,617,933,316,366],"rotation_degrees":32.926829268292686,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[50,667,617,933,316,366],"beta":{"interval_sums":[153597,171098,165934,167844,150343,154524],"interval_residues":[249,56,790,734,927,193],"display_cycle":[249,56,790,734,927,193],"intervals":[{"from_index":180,"to_index":508,"sum":153597,"residue":249},{"from_index":508,"to_index":836,"sum":171098,"residue":56},{"from_index":836,"to_index":1164,"sum":165934,"residue":790},{"from_index":1164,"to_index":1492,"sum":167844,"residue":734},{"from_index":1492,"to_index":1820,"sum":150343,"residue":927},{"from_index":1820,"to_index":180,"sum":154524,"residue":193}],"minimal_cycle":[249,56,790,734,927,193],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":249,"start_interval_clock_positions":[180,508],"circle_positions":983,"cycle_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":[181,509,837,1165,1493,1821],"clock_positions":[181,509,837,1165,1493,1821],"native_values":[260,559,299,723,424,684],"rotation_degrees":33.109756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[260,559,299,723,424,684],"beta":{"interval_sums":[154004,171156,166568,167437,150285,153890],"interval_residues":[656,114,441,327,869,542],"display_cycle":[656,114,441,327,869,542],"intervals":[{"from_index":181,"to_index":509,"sum":154004,"residue":656},{"from_index":509,"to_index":837,"sum":171156,"residue":114},{"from_index":837,"to_index":1165,"sum":166568,"residue":441},{"from_index":1165,"to_index":1493,"sum":167437,"residue":327},{"from_index":1493,"to_index":1821,"sum":150285,"residue":869},{"from_index":1821,"to_index":181,"sum":153890,"residue":542}],"minimal_cycle":[656,114,441,327,869,542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":656,"start_interval_clock_positions":[181,509],"circle_positions":983,"cycle_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":[182,510,838,1166,1494,1822],"clock_positions":[182,510,838,1166,1494,1822],"native_values":[310,243,916,673,740,67],"rotation_degrees":33.292682926829265,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[310,243,916,673,740,67],"beta":{"interval_sums":[154253,171212,166375,167188,150229,154083],"interval_residues":[905,170,248,78,813,735],"display_cycle":[905,170,248,78,813,735],"intervals":[{"from_index":182,"to_index":510,"sum":154253,"residue":905},{"from_index":510,"to_index":838,"sum":171212,"residue":170},{"from_index":838,"to_index":1166,"sum":166375,"residue":248},{"from_index":1166,"to_index":1494,"sum":167188,"residue":78},{"from_index":1494,"to_index":1822,"sum":150229,"residue":813},{"from_index":1822,"to_index":182,"sum":154083,"residue":735}],"minimal_cycle":[905,170,248,78,813,735],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":905,"start_interval_clock_positions":[182,510],"circle_positions":983,"cycle_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":[183,511,839,1167,1495,1823],"clock_positions":[183,511,839,1167,1495,1823],"native_values":[570,802,232,413,181,751],"rotation_degrees":33.47560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[570,802,232,413,181,751],"beta":{"interval_sums":[153926,171326,166816,167515,150115,153642],"interval_residues":[578,284,689,405,699,294],"display_cycle":[578,284,689,405,699,294],"intervals":[{"from_index":183,"to_index":511,"sum":153926,"residue":578},{"from_index":511,"to_index":839,"sum":171326,"residue":284},{"from_index":839,"to_index":1167,"sum":166816,"residue":689},{"from_index":1167,"to_index":1495,"sum":167515,"residue":405},{"from_index":1495,"to_index":1823,"sum":150115,"residue":699},{"from_index":1823,"to_index":183,"sum":153642,"residue":294}],"minimal_cycle":[578,284,689,405,699,294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[183,511],"circle_positions":983,"cycle_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":[184,512,840,1168,1496,1824],"clock_positions":[184,512,840,1168,1496,1824],"native_values":[880,62,165,103,921,818],"rotation_degrees":33.65853658536585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[880,62,165,103,921,818],"beta":{"interval_sums":[153848,171496,167064,167593,149945,153394],"interval_residues":[500,454,937,483,529,46],"display_cycle":[500,454,937,483,529,46],"intervals":[{"from_index":184,"to_index":512,"sum":153848,"residue":500},{"from_index":512,"to_index":840,"sum":171496,"residue":454},{"from_index":840,"to_index":1168,"sum":167064,"residue":937},{"from_index":1168,"to_index":1496,"sum":167593,"residue":483},{"from_index":1496,"to_index":1824,"sum":149945,"residue":529},{"from_index":1824,"to_index":184,"sum":153394,"residue":46}],"minimal_cycle":[500,454,937,483,529,46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[184,512],"circle_positions":983,"cycle_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":[185,513,841,1169,1497,1825],"clock_positions":[185,513,841,1169,1497,1825],"native_values":[467,864,397,516,119,586],"rotation_degrees":33.84146341463415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[467,864,397,516,119,586],"beta":{"interval_sums":[153443,170797,166770,167998,150644,153688],"interval_residues":[95,738,643,888,245,340],"display_cycle":[95,738,643,888,245,340],"intervals":[{"from_index":185,"to_index":513,"sum":153443,"residue":95},{"from_index":513,"to_index":841,"sum":170797,"residue":738},{"from_index":841,"to_index":1169,"sum":166770,"residue":643},{"from_index":1169,"to_index":1497,"sum":167998,"residue":888},{"from_index":1497,"to_index":1825,"sum":150644,"residue":245},{"from_index":1825,"to_index":185,"sum":153688,"residue":340}],"minimal_cycle":[95,738,643,888,245,340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":95,"start_interval_clock_positions":[185,513],"circle_positions":983,"cycle_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":[186,514,842,1170,1498,1826],"clock_positions":[186,514,842,1170,1498,1826],"native_values":[364,926,562,619,57,421],"rotation_degrees":34.02439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[364,926,562,619,57,421],"beta":{"interval_sums":[153943,170268,166724,167498,151173,153734],"interval_residues":[595,209,597,388,774,386],"display_cycle":[595,209,597,388,774,386],"intervals":[{"from_index":186,"to_index":514,"sum":153943,"residue":595},{"from_index":514,"to_index":842,"sum":170268,"residue":209},{"from_index":842,"to_index":1170,"sum":166724,"residue":597},{"from_index":1170,"to_index":1498,"sum":167498,"residue":388},{"from_index":1498,"to_index":1826,"sum":151173,"residue":774},{"from_index":1826,"to_index":186,"sum":153734,"residue":386}],"minimal_cycle":[595,209,597,388,774,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":595,"start_interval_clock_positions":[186,514],"circle_positions":983,"cycle_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":[187,515,843,1171,1499,1827],"clock_positions":[187,515,843,1171,1499,1827],"native_values":[831,807,959,152,176,24],"rotation_degrees":34.207317073170735,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[831,807,959,152,176,24],"beta":{"interval_sums":[154038,170023,166384,167403,151418,154074],"interval_residues":[690,947,257,293,36,726],"display_cycle":[690,947,257,293,36,726],"intervals":[{"from_index":187,"to_index":515,"sum":154038,"residue":690},{"from_index":515,"to_index":843,"sum":170023,"residue":947},{"from_index":843,"to_index":1171,"sum":166384,"residue":257},{"from_index":1171,"to_index":1499,"sum":167403,"residue":293},{"from_index":1499,"to_index":1827,"sum":151418,"residue":36},{"from_index":1827,"to_index":187,"sum":154074,"residue":726}],"minimal_cycle":[690,947,257,293,36,726],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":690,"start_interval_clock_positions":[187,515],"circle_positions":983,"cycle_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":[188,516,844,1172,1500,1828],"clock_positions":[188,516,844,1172,1500,1828],"native_values":[212,750,538,771,233,445],"rotation_degrees":34.390243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[212,750,538,771,233,445],"beta":{"interval_sums":[154633,170232,165998,166808,151209,154460],"interval_residues":[302,173,854,681,810,129],"display_cycle":[302,173,854,681,810,129],"intervals":[{"from_index":188,"to_index":516,"sum":154633,"residue":302},{"from_index":516,"to_index":844,"sum":170232,"residue":173},{"from_index":844,"to_index":1172,"sum":165998,"residue":854},{"from_index":1172,"to_index":1500,"sum":166808,"residue":681},{"from_index":1500,"to_index":1828,"sum":151209,"residue":810},{"from_index":1828,"to_index":188,"sum":154460,"residue":129}],"minimal_cycle":[302,173,854,681,810,129],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":302,"start_interval_clock_positions":[188,516],"circle_positions":983,"cycle_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":[189,517,845,1173,1501,1829],"clock_positions":[189,517,845,1173,1501,1829],"native_values":[60,574,514,923,409,469],"rotation_degrees":34.573170731707314,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,574,514,923,409,469],"beta":{"interval_sums":[155323,170196,166255,166118,151245,154203],"interval_residues":[9,137,128,974,846,855],"display_cycle":[9,137,128,974,846,855],"intervals":[{"from_index":189,"to_index":517,"sum":155323,"residue":9},{"from_index":517,"to_index":845,"sum":170196,"residue":137},{"from_index":845,"to_index":1173,"sum":166255,"residue":128},{"from_index":1173,"to_index":1501,"sum":166118,"residue":974},{"from_index":1501,"to_index":1829,"sum":151245,"residue":846},{"from_index":1829,"to_index":189,"sum":154203,"residue":855}],"minimal_cycle":[9,137,128,974,846,855],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":9,"start_interval_clock_positions":[189,517],"circle_positions":983,"cycle_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":[190,518,846,1174,1502,1830],"clock_positions":[190,518,846,1174,1502,1830],"native_values":[272,341,69,711,642,914],"rotation_degrees":34.75609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[272,341,69,711,642,914],"beta":{"interval_sums":[155625,170369,167109,165816,151072,153349],"interval_residues":[311,310,982,672,673,1],"display_cycle":[311,310,982,672,673,1],"intervals":[{"from_index":190,"to_index":518,"sum":155625,"residue":311},{"from_index":518,"to_index":846,"sum":170369,"residue":310},{"from_index":846,"to_index":1174,"sum":167109,"residue":982},{"from_index":1174,"to_index":1502,"sum":165816,"residue":672},{"from_index":1502,"to_index":1830,"sum":151072,"residue":673},{"from_index":1830,"to_index":190,"sum":153349,"residue":1}],"minimal_cycle":[311,310,982,672,673,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":311,"start_interval_clock_positions":[190,518],"circle_positions":983,"cycle_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":[191,519,847,1175,1503,1831],"clock_positions":[191,519,847,1175,1503,1831],"native_values":[332,915,583,651,68,400],"rotation_degrees":34.9390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[332,915,583,651,68,400],"beta":{"interval_sums":[155634,169523,167237,165807,151918,153221],"interval_residues":[320,447,127,663,536,856],"display_cycle":[320,447,127,663,536,856],"intervals":[{"from_index":191,"to_index":519,"sum":155634,"residue":320},{"from_index":519,"to_index":847,"sum":169523,"residue":447},{"from_index":847,"to_index":1175,"sum":167237,"residue":127},{"from_index":1175,"to_index":1503,"sum":165807,"residue":663},{"from_index":1503,"to_index":1831,"sum":151918,"residue":536},{"from_index":1831,"to_index":191,"sum":153221,"residue":856}],"minimal_cycle":[320,447,127,663,536,856],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[191,519],"circle_positions":983,"cycle_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":[192,520,848,1176,1504,1832],"clock_positions":[192,520,848,1176,1504,1832],"native_values":[604,273,652,379,710,331],"rotation_degrees":35.1219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[604,273,652,379,710,331],"beta":{"interval_sums":[155945,169833,167236,165496,151608,153222],"interval_residues":[631,757,126,352,226,857],"display_cycle":[631,757,126,352,226,857],"intervals":[{"from_index":192,"to_index":520,"sum":155945,"residue":631},{"from_index":520,"to_index":848,"sum":169833,"residue":757},{"from_index":848,"to_index":1176,"sum":167236,"residue":126},{"from_index":1176,"to_index":1504,"sum":165496,"residue":352},{"from_index":1504,"to_index":1832,"sum":151608,"residue":226},{"from_index":1832,"to_index":192,"sum":153222,"residue":857}],"minimal_cycle":[631,757,126,352,226,857],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":631,"start_interval_clock_positions":[192,520],"circle_positions":983,"cycle_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":[193,521,849,1177,1505,1833],"clock_positions":[193,521,849,1177,1505,1833],"native_values":[936,205,252,47,778,731],"rotation_degrees":35.30487804878049,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[936,205,252,47,778,731],"beta":{"interval_sums":[155282,170280,167363,166159,151161,153095],"interval_residues":[951,221,253,32,762,730],"display_cycle":[951,221,253,32,762,730],"intervals":[{"from_index":193,"to_index":521,"sum":155282,"residue":951},{"from_index":521,"to_index":849,"sum":170280,"residue":221},{"from_index":849,"to_index":1177,"sum":167363,"residue":253},{"from_index":1177,"to_index":1505,"sum":166159,"residue":32},{"from_index":1505,"to_index":1833,"sum":151161,"residue":762},{"from_index":1833,"to_index":193,"sum":153095,"residue":730}],"minimal_cycle":[951,221,253,32,762,730],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":951,"start_interval_clock_positions":[193,521],"circle_positions":983,"cycle_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":[194,522,850,1178,1506,1834],"clock_positions":[194,522,850,1178,1506,1834],"native_values":[557,478,904,426,505,79],"rotation_degrees":35.48780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,478,904,426,505,79],"beta":{"interval_sums":[154930,170054,166506,166511,151387,153952],"interval_residues":[599,978,379,384,5,604],"display_cycle":[599,978,379,384,5,604],"intervals":[{"from_index":194,"to_index":522,"sum":154930,"residue":599},{"from_index":522,"to_index":850,"sum":170054,"residue":978},{"from_index":850,"to_index":1178,"sum":166506,"residue":379},{"from_index":1178,"to_index":1506,"sum":166511,"residue":384},{"from_index":1506,"to_index":1834,"sum":151387,"residue":5},{"from_index":1834,"to_index":194,"sum":153952,"residue":604}],"minimal_cycle":[599,978,379,384,5,604],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":599,"start_interval_clock_positions":[194,522],"circle_positions":983,"cycle_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":[195,523,851,1179,1507,1835],"clock_positions":[195,523,851,1179,1507,1835],"native_values":[510,683,173,473,300,810],"rotation_degrees":35.670731707317074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[510,683,173,473,300,810],"beta":{"interval_sums":[154898,170275,166759,166543,151166,153699],"interval_residues":[567,216,632,416,767,351],"display_cycle":[567,216,632,416,767,351],"intervals":[{"from_index":195,"to_index":523,"sum":154898,"residue":567},{"from_index":523,"to_index":851,"sum":170275,"residue":216},{"from_index":851,"to_index":1179,"sum":166759,"residue":632},{"from_index":1179,"to_index":1507,"sum":166543,"residue":416},{"from_index":1507,"to_index":1835,"sum":151166,"residue":767},{"from_index":1835,"to_index":195,"sum":153699,"residue":351}],"minimal_cycle":[567,216,632,416,767,351],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":567,"start_interval_clock_positions":[195,523],"circle_positions":983,"cycle_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":[196,524,852,1180,1508,1836],"clock_positions":[196,524,852,1180,1508,1836],"native_values":[84,178,94,899,805,889],"rotation_degrees":35.853658536585364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[84,178,94,899,805,889],"beta":{"interval_sums":[155497,170270,167138,165944,151171,153320],"interval_residues":[183,211,28,800,772,955],"display_cycle":[183,211,28,800,772,955],"intervals":[{"from_index":196,"to_index":524,"sum":155497,"residue":183},{"from_index":524,"to_index":852,"sum":170270,"residue":211},{"from_index":852,"to_index":1180,"sum":167138,"residue":28},{"from_index":1180,"to_index":1508,"sum":165944,"residue":800},{"from_index":1508,"to_index":1836,"sum":151171,"residue":772},{"from_index":1836,"to_index":196,"sum":153320,"residue":955}],"minimal_cycle":[183,211,28,800,772,955],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":183,"start_interval_clock_positions":[196,524],"circle_positions":983,"cycle_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":[197,525,853,1181,1509,1837],"clock_positions":[197,525,853,1181,1509,1837],"native_values":[594,861,267,389,122,716],"rotation_degrees":36.03658536585366,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[594,861,267,389,122,716],"beta":{"interval_sums":[155081,169503,167770,166360,151938,152688],"interval_residues":[750,427,660,233,556,323],"display_cycle":[750,427,660,233,556,323],"intervals":[{"from_index":197,"to_index":525,"sum":155081,"residue":750},{"from_index":525,"to_index":853,"sum":169503,"residue":427},{"from_index":853,"to_index":1181,"sum":167770,"residue":660},{"from_index":1181,"to_index":1509,"sum":166360,"residue":233},{"from_index":1509,"to_index":1837,"sum":151938,"residue":556},{"from_index":1837,"to_index":197,"sum":152688,"residue":323}],"minimal_cycle":[750,427,660,233,556,323],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":750,"start_interval_clock_positions":[197,525],"circle_positions":983,"cycle_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":[198,526,854,1182,1510,1838],"clock_positions":[198,526,854,1182,1510,1838],"native_values":[678,56,361,305,927,622],"rotation_degrees":36.21951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[678,56,361,305,927,622],"beta":{"interval_sums":[155264,169714,167798,166177,151727,152660],"interval_residues":[933,638,688,50,345,295],"display_cycle":[933,638,688,50,345,295],"intervals":[{"from_index":198,"to_index":526,"sum":155264,"residue":933},{"from_index":526,"to_index":854,"sum":169714,"residue":638},{"from_index":854,"to_index":1182,"sum":167798,"residue":688},{"from_index":1182,"to_index":1510,"sum":166177,"residue":50},{"from_index":1510,"to_index":1838,"sum":151727,"residue":345},{"from_index":1838,"to_index":198,"sum":152660,"residue":295}],"minimal_cycle":[933,638,688,50,345,295],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":933,"start_interval_clock_positions":[198,526],"circle_positions":983,"cycle_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":[199,527,855,1183,1511,1839],"clock_positions":[199,527,855,1183,1511,1839],"native_values":[289,917,628,694,66,355],"rotation_degrees":36.40243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[289,917,628,694,66,355],"beta":{"interval_sums":[155031,169158,167475,166410,152283,152983],"interval_residues":[700,82,365,283,901,618],"display_cycle":[700,82,365,283,901,618],"intervals":[{"from_index":199,"to_index":527,"sum":155031,"residue":700},{"from_index":527,"to_index":855,"sum":169158,"residue":82},{"from_index":855,"to_index":1183,"sum":167475,"residue":365},{"from_index":1183,"to_index":1511,"sum":166410,"residue":283},{"from_index":1511,"to_index":1839,"sum":152283,"residue":901},{"from_index":1839,"to_index":199,"sum":152983,"residue":618}],"minimal_cycle":[700,82,365,283,901,618],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[199,527],"circle_positions":983,"cycle_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":[200,528,856,1184,1512,1840],"clock_positions":[200,528,856,1184,1512,1840],"native_values":[967,973,6,16,10,977],"rotation_degrees":36.58536585365854,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[967,973,6,16,10,977],"beta":{"interval_sums":[154981,168813,168163,166460,152628,152295],"interval_residues":[650,720,70,333,263,913],"display_cycle":[650,720,70,333,263,913],"intervals":[{"from_index":200,"to_index":528,"sum":154981,"residue":650},{"from_index":528,"to_index":856,"sum":168813,"residue":720},{"from_index":856,"to_index":1184,"sum":168163,"residue":70},{"from_index":1184,"to_index":1512,"sum":166460,"residue":333},{"from_index":1512,"to_index":1840,"sum":152628,"residue":263},{"from_index":1840,"to_index":200,"sum":152295,"residue":913}],"minimal_cycle":[650,720,70,333,263,913],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":650,"start_interval_clock_positions":[200,528],"circle_positions":983,"cycle_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":[201,529,857,1185,1513,1841],"clock_positions":[201,529,857,1185,1513,1841],"native_values":[273,907,634,710,76,349],"rotation_degrees":36.76829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[273,907,634,710,76,349],"beta":{"interval_sums":[155681,167912,167545,165760,153529,152913],"interval_residues":[367,802,435,616,181,548],"display_cycle":[367,802,435,616,181,548],"intervals":[{"from_index":201,"to_index":529,"sum":155681,"residue":367},{"from_index":529,"to_index":857,"sum":167912,"residue":802},{"from_index":857,"to_index":1185,"sum":167545,"residue":435},{"from_index":1185,"to_index":1513,"sum":165760,"residue":616},{"from_index":1513,"to_index":1841,"sum":153529,"residue":181},{"from_index":1841,"to_index":201,"sum":152913,"residue":548}],"minimal_cycle":[367,802,435,616,181,548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":367,"start_interval_clock_positions":[201,529],"circle_positions":983,"cycle_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":[202,530,858,1186,1514,1842],"clock_positions":[202,530,858,1186,1514,1842],"native_values":[257,897,640,726,86,343],"rotation_degrees":36.951219512195124,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,897,640,726,86,343],"beta":{"interval_sums":[156331,167649,167615,165110,153792,152843],"interval_residues":[34,539,505,949,444,478],"display_cycle":[34,539,505,949,444,478],"intervals":[{"from_index":202,"to_index":530,"sum":156331,"residue":34},{"from_index":530,"to_index":858,"sum":167649,"residue":539},{"from_index":858,"to_index":1186,"sum":167615,"residue":505},{"from_index":1186,"to_index":1514,"sum":165110,"residue":949},{"from_index":1514,"to_index":1842,"sum":153792,"residue":444},{"from_index":1842,"to_index":202,"sum":152843,"residue":478}],"minimal_cycle":[34,539,505,949,444,478],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[202,530],"circle_positions":983,"cycle_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":[203,531,859,1187,1515,1843],"clock_positions":[203,531,859,1187,1515,1843],"native_values":[530,821,291,453,162,692],"rotation_degrees":37.13414634146341,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[530,821,291,453,162,692],"beta":{"interval_sums":[156698,167468,168050,164743,153973,152408],"interval_residues":[401,358,940,582,625,43],"display_cycle":[401,358,940,582,625,43],"intervals":[{"from_index":203,"to_index":531,"sum":156698,"residue":401},{"from_index":531,"to_index":859,"sum":167468,"residue":358},{"from_index":859,"to_index":1187,"sum":168050,"residue":940},{"from_index":1187,"to_index":1515,"sum":164743,"residue":582},{"from_index":1515,"to_index":1843,"sum":153973,"residue":625},{"from_index":1843,"to_index":203,"sum":152408,"residue":43}],"minimal_cycle":[401,358,940,582,625,43],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":401,"start_interval_clock_positions":[203,531],"circle_positions":983,"cycle_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":[204,532,860,1188,1516,1844],"clock_positions":[204,532,860,1188,1516,1844],"native_values":[787,735,931,196,248,52],"rotation_degrees":37.31707317073171,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[787,735,931,196,248,52],"beta":{"interval_sums":[156732,167024,167572,164709,154417,152886],"interval_residues":[435,897,462,548,86,521],"display_cycle":[435,897,462,548,86,521],"intervals":[{"from_index":204,"to_index":532,"sum":156732,"residue":435},{"from_index":532,"to_index":860,"sum":167024,"residue":897},{"from_index":860,"to_index":1188,"sum":167572,"residue":462},{"from_index":1188,"to_index":1516,"sum":164709,"residue":548},{"from_index":1516,"to_index":1844,"sum":154417,"residue":86},{"from_index":1844,"to_index":204,"sum":152886,"residue":521}],"minimal_cycle":[435,897,462,548,86,521],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":435,"start_interval_clock_positions":[204,532],"circle_positions":983,"cycle_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":[205,533,861,1189,1517,1845],"clock_positions":[205,533,861,1189,1517,1845],"native_values":[334,573,239,649,410,744],"rotation_degrees":37.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[334,573,239,649,410,744],"beta":{"interval_sums":[157133,167382,167529,164308,154059,152929],"interval_residues":[836,272,419,147,711,564],"display_cycle":[836,272,419,147,711,564],"intervals":[{"from_index":205,"to_index":533,"sum":157133,"residue":836},{"from_index":533,"to_index":861,"sum":167382,"residue":272},{"from_index":861,"to_index":1189,"sum":167529,"residue":419},{"from_index":1189,"to_index":1517,"sum":164308,"residue":147},{"from_index":1517,"to_index":1845,"sum":154059,"residue":711},{"from_index":1845,"to_index":205,"sum":152929,"residue":564}],"minimal_cycle":[836,272,419,147,711,564],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":836,"start_interval_clock_positions":[205,533],"circle_positions":983,"cycle_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":[206,534,862,1190,1518,1846],"clock_positions":[206,534,862,1190,1518,1846],"native_values":[138,325,187,845,658,796],"rotation_degrees":37.68292682926829,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[138,325,187,845,658,796],"beta":{"interval_sums":[157568,167296,167991,163873,154145,152467],"interval_residues":[288,186,881,695,797,102],"display_cycle":[288,186,881,695,797,102],"intervals":[{"from_index":206,"to_index":534,"sum":157568,"residue":288},{"from_index":534,"to_index":862,"sum":167296,"residue":186},{"from_index":862,"to_index":1190,"sum":167991,"residue":881},{"from_index":1190,"to_index":1518,"sum":163873,"residue":695},{"from_index":1518,"to_index":1846,"sum":154145,"residue":797},{"from_index":1846,"to_index":206,"sum":152467,"residue":102}],"minimal_cycle":[288,186,881,695,797,102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[206,534],"circle_positions":983,"cycle_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":[207,535,863,1191,1519,1847],"clock_positions":[207,535,863,1191,1519,1847],"native_values":[472,898,426,511,85,557],"rotation_degrees":37.86585365853659,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[472,898,426,511,85,557],"beta":{"interval_sums":[157421,166585,168410,164020,154856,152048],"interval_residues":[141,458,317,842,525,666],"display_cycle":[141,458,317,842,525,666],"intervals":[{"from_index":207,"to_index":535,"sum":157421,"residue":141},{"from_index":535,"to_index":863,"sum":166585,"residue":458},{"from_index":863,"to_index":1191,"sum":168410,"residue":317},{"from_index":1191,"to_index":1519,"sum":164020,"residue":842},{"from_index":1519,"to_index":1847,"sum":154856,"residue":525},{"from_index":1847,"to_index":207,"sum":152048,"residue":666}],"minimal_cycle":[141,458,317,842,525,666],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":141,"start_interval_clock_positions":[207,535],"circle_positions":983,"cycle_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":[208,536,864,1192,1520,1848],"clock_positions":[208,536,864,1192,1520,1848],"native_values":[610,240,613,373,743,370],"rotation_degrees":38.048780487804876,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,240,613,373,743,370],"beta":{"interval_sums":[157709,166771,168308,163732,154670,152150],"interval_residues":[429,644,215,554,339,768],"display_cycle":[429,644,215,554,339,768],"intervals":[{"from_index":208,"to_index":536,"sum":157709,"residue":429},{"from_index":536,"to_index":864,"sum":166771,"residue":644},{"from_index":864,"to_index":1192,"sum":168308,"residue":215},{"from_index":1192,"to_index":1520,"sum":163732,"residue":554},{"from_index":1520,"to_index":1848,"sum":154670,"residue":339},{"from_index":1848,"to_index":208,"sum":152150,"residue":768}],"minimal_cycle":[429,644,215,554,339,768],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":429,"start_interval_clock_positions":[208,536],"circle_positions":983,"cycle_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":[209,537,865,1193,1521,1849],"clock_positions":[209,537,865,1193,1521,1849],"native_values":[99,155,56,884,828,927],"rotation_degrees":38.23170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[99,155,56,884,828,927],"beta":{"interval_sums":[157850,167229,168625,163591,154212,151833],"interval_residues":[570,119,532,413,864,451],"display_cycle":[570,119,532,413,864,451],"intervals":[{"from_index":209,"to_index":537,"sum":157850,"residue":570},{"from_index":537,"to_index":865,"sum":167229,"residue":119},{"from_index":865,"to_index":1193,"sum":168625,"residue":532},{"from_index":1193,"to_index":1521,"sum":163591,"residue":413},{"from_index":1521,"to_index":1849,"sum":154212,"residue":864},{"from_index":1849,"to_index":209,"sum":151833,"residue":451}],"minimal_cycle":[570,119,532,413,864,451],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[209,537],"circle_positions":983,"cycle_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":[210,538,866,1194,1522,1850],"clock_positions":[210,538,866,1194,1522,1850],"native_values":[709,395,669,274,588,314],"rotation_degrees":38.41463414634146,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[709,395,669,274,588,314],"beta":{"interval_sums":[157296,166890,168840,164145,154551,151618],"interval_residues":[16,763,747,967,220,236],"display_cycle":[16,763,747,967,220,236],"intervals":[{"from_index":210,"to_index":538,"sum":157296,"residue":16},{"from_index":538,"to_index":866,"sum":166890,"residue":763},{"from_index":866,"to_index":1194,"sum":168840,"residue":747},{"from_index":1194,"to_index":1522,"sum":164145,"residue":967},{"from_index":1522,"to_index":1850,"sum":154551,"residue":220},{"from_index":1850,"to_index":210,"sum":151618,"residue":236}],"minimal_cycle":[16,763,747,967,220,236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[210,538],"circle_positions":983,"cycle_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":[211,539,867,1195,1523,1851],"clock_positions":[211,539,867,1195,1523,1851],"native_values":[808,550,725,175,433,258],"rotation_degrees":38.59756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[808,550,725,175,433,258],"beta":{"interval_sums":[156883,167009,168389,164558,154432,152069],"interval_residues":[586,882,296,397,101,687],"display_cycle":[586,882,296,397,101,687],"intervals":[{"from_index":211,"to_index":539,"sum":156883,"residue":586},{"from_index":539,"to_index":867,"sum":167009,"residue":882},{"from_index":867,"to_index":1195,"sum":168389,"residue":296},{"from_index":1195,"to_index":1523,"sum":164558,"residue":397},{"from_index":1523,"to_index":1851,"sum":154432,"residue":101},{"from_index":1851,"to_index":211,"sum":152069,"residue":687}],"minimal_cycle":[586,882,296,397,101,687],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[211,539],"circle_positions":983,"cycle_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":[212,540,868,1196,1524,1852],"clock_positions":[212,540,868,1196,1524,1852],"native_values":[534,945,411,449,38,572],"rotation_degrees":38.78048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[534,945,411,449,38,572],"beta":{"interval_sums":[156899,166789,168153,164542,154652,152305],"interval_residues":[602,662,60,381,321,923],"display_cycle":[602,662,60,381,321,923],"intervals":[{"from_index":212,"to_index":540,"sum":156899,"residue":602},{"from_index":540,"to_index":868,"sum":166789,"residue":662},{"from_index":868,"to_index":1196,"sum":168153,"residue":60},{"from_index":1196,"to_index":1524,"sum":164542,"residue":381},{"from_index":1524,"to_index":1852,"sum":154652,"residue":321},{"from_index":1852,"to_index":212,"sum":152305,"residue":923}],"minimal_cycle":[602,662,60,381,321,923],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":602,"start_interval_clock_positions":[212,540],"circle_positions":983,"cycle_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":[213,541,869,1197,1525,1853],"clock_positions":[213,541,869,1197,1525,1853],"native_values":[359,512,153,624,471,830],"rotation_degrees":38.96341463414634,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,512,153,624,471,830],"beta":{"interval_sums":[157485,166688,168449,163956,154753,152009],"interval_residues":[205,561,356,778,422,627],"display_cycle":[205,561,356,778,422,627],"intervals":[{"from_index":213,"to_index":541,"sum":157485,"residue":205},{"from_index":541,"to_index":869,"sum":166688,"residue":561},{"from_index":869,"to_index":1197,"sum":168449,"residue":356},{"from_index":1197,"to_index":1525,"sum":163956,"residue":778},{"from_index":1525,"to_index":1853,"sum":154753,"residue":422},{"from_index":1853,"to_index":213,"sum":152009,"residue":627}],"minimal_cycle":[205,561,356,778,422,627],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":205,"start_interval_clock_positions":[213,541],"circle_positions":983,"cycle_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":[214,542,870,1198,1526,1854],"clock_positions":[214,542,870,1198,1526,1854],"native_values":[893,474,564,90,509,419],"rotation_degrees":39.146341463414636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[893,474,564,90,509,419],"beta":{"interval_sums":[157104,166367,168509,164337,155074,151949],"interval_residues":[807,240,416,176,743,567],"display_cycle":[807,240,416,176,743,567],"intervals":[{"from_index":214,"to_index":542,"sum":157104,"residue":807},{"from_index":542,"to_index":870,"sum":166367,"residue":240},{"from_index":870,"to_index":1198,"sum":168509,"residue":416},{"from_index":1198,"to_index":1526,"sum":164337,"residue":176},{"from_index":1526,"to_index":1854,"sum":155074,"residue":743},{"from_index":1854,"to_index":214,"sum":151949,"residue":567}],"minimal_cycle":[807,240,416,176,743,567],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":807,"start_interval_clock_positions":[214,542],"circle_positions":983,"cycle_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":[215,543,871,1199,1527,1855],"clock_positions":[215,543,871,1199,1527,1855],"native_values":[269,3,717,714,980,266],"rotation_degrees":39.329268292682926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[269,3,717,714,980,266],"beta":{"interval_sums":[157309,166928,167882,164132,154513,152576],"interval_residues":[29,801,772,954,182,211],"display_cycle":[29,801,772,954,182,211],"intervals":[{"from_index":215,"to_index":543,"sum":157309,"residue":29},{"from_index":543,"to_index":871,"sum":166928,"residue":801},{"from_index":871,"to_index":1199,"sum":167882,"residue":772},{"from_index":1199,"to_index":1527,"sum":164132,"residue":954},{"from_index":1527,"to_index":1855,"sum":154513,"residue":182},{"from_index":1855,"to_index":215,"sum":152576,"residue":211}],"minimal_cycle":[29,801,772,954,182,211],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":29,"start_interval_clock_positions":[215,543],"circle_positions":983,"cycle_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":[216,544,872,1200,1528,1856],"clock_positions":[216,544,872,1200,1528,1856],"native_values":[179,477,298,804,506,685],"rotation_degrees":39.51219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[179,477,298,804,506,685],"beta":{"interval_sums":[157133,167168,168298,164308,154273,152160],"interval_residues":[836,58,205,147,925,778],"display_cycle":[836,58,205,147,925,778],"intervals":[{"from_index":216,"to_index":544,"sum":157133,"residue":836},{"from_index":544,"to_index":872,"sum":167168,"residue":58},{"from_index":872,"to_index":1200,"sum":168298,"residue":205},{"from_index":1200,"to_index":1528,"sum":164308,"residue":147},{"from_index":1528,"to_index":1856,"sum":154273,"residue":925},{"from_index":1856,"to_index":216,"sum":152160,"residue":778}],"minimal_cycle":[836,58,205,147,925,778],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":836,"start_interval_clock_positions":[216,544],"circle_positions":983,"cycle_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":[217,545,873,1201,1529,1857],"clock_positions":[217,545,873,1201,1529,1857],"native_values":[448,480,32,535,503,951],"rotation_degrees":39.69512195121951,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[448,480,32,535,503,951],"beta":{"interval_sums":[157162,166986,169070,164279,154455,151388],"interval_residues":[865,859,977,118,124,6],"display_cycle":[865,859,977,118,124,6],"intervals":[{"from_index":217,"to_index":545,"sum":157162,"residue":865},{"from_index":545,"to_index":873,"sum":166986,"residue":859},{"from_index":873,"to_index":1201,"sum":169070,"residue":977},{"from_index":1201,"to_index":1529,"sum":164279,"residue":118},{"from_index":1529,"to_index":1857,"sum":154455,"residue":124},{"from_index":1857,"to_index":217,"sum":151388,"residue":6}],"minimal_cycle":[865,859,977,118,124,6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":865,"start_interval_clock_positions":[217,545],"circle_positions":983,"cycle_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":[218,546,874,1202,1530,1858],"clock_positions":[218,546,874,1202,1530,1858],"native_values":[627,957,330,356,26,653],"rotation_degrees":39.8780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[627,957,330,356,26,653],"beta":{"interval_sums":[157015,166061,169275,164426,155380,151183],"interval_residues":[718,917,199,265,66,784],"display_cycle":[718,917,199,265,66,784],"intervals":[{"from_index":218,"to_index":546,"sum":157015,"residue":718},{"from_index":546,"to_index":874,"sum":166061,"residue":917},{"from_index":874,"to_index":1202,"sum":169275,"residue":199},{"from_index":1202,"to_index":1530,"sum":164426,"residue":265},{"from_index":1530,"to_index":1858,"sum":155380,"residue":66},{"from_index":1858,"to_index":218,"sum":151183,"residue":784}],"minimal_cycle":[718,917,199,265,66,784],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":718,"start_interval_clock_positions":[218,546],"circle_positions":983,"cycle_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":[219,547,875,1203,1531,1859],"clock_positions":[219,547,875,1203,1531,1859],"native_values":[92,454,362,891,529,621],"rotation_degrees":40.0609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[92,454,362,891,529,621],"beta":{"interval_sums":[157880,165937,169269,163561,155504,151189],"interval_residues":[600,793,193,383,190,790],"display_cycle":[600,793,193,383,190,790],"intervals":[{"from_index":219,"to_index":547,"sum":157880,"residue":600},{"from_index":547,"to_index":875,"sum":165937,"residue":793},{"from_index":875,"to_index":1203,"sum":169269,"residue":193},{"from_index":1203,"to_index":1531,"sum":163561,"residue":383},{"from_index":1531,"to_index":1859,"sum":155504,"residue":190},{"from_index":1859,"to_index":219,"sum":151189,"residue":790}],"minimal_cycle":[600,793,193,383,190,790],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":600,"start_interval_clock_positions":[219,547],"circle_positions":983,"cycle_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":[220,548,876,1204,1532,1860],"clock_positions":[220,548,876,1204,1532,1860],"native_values":[719,428,692,264,555,291],"rotation_degrees":40.24390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[719,428,692,264,555,291],"beta":{"interval_sums":[157615,165871,169468,163826,155570,150990],"interval_residues":[335,727,392,648,256,591],"display_cycle":[335,727,392,648,256,591],"intervals":[{"from_index":220,"to_index":548,"sum":157615,"residue":335},{"from_index":548,"to_index":876,"sum":165871,"residue":727},{"from_index":876,"to_index":1204,"sum":169468,"residue":392},{"from_index":1204,"to_index":1532,"sum":163826,"residue":648},{"from_index":1532,"to_index":1860,"sum":155570,"residue":256},{"from_index":1860,"to_index":220,"sum":150990,"residue":591}],"minimal_cycle":[335,727,392,648,256,591],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":335,"start_interval_clock_positions":[220,548],"circle_positions":983,"cycle_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":[221,549,877,1205,1533,1861],"clock_positions":[221,549,877,1205,1533,1861],"native_values":[811,882,71,172,101,912],"rotation_degrees":40.426829268292686,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[811,882,71,172,101,912],"beta":{"interval_sums":[157232,165681,169661,164209,155760,150797],"interval_residues":[935,537,585,48,446,398],"display_cycle":[935,537,585,48,446,398],"intervals":[{"from_index":221,"to_index":549,"sum":157232,"residue":935},{"from_index":549,"to_index":877,"sum":165681,"residue":537},{"from_index":877,"to_index":1205,"sum":169661,"residue":585},{"from_index":1205,"to_index":1533,"sum":164209,"residue":48},{"from_index":1533,"to_index":1861,"sum":155760,"residue":446},{"from_index":1861,"to_index":221,"sum":150797,"residue":398}],"minimal_cycle":[935,537,585,48,446,398],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":935,"start_interval_clock_positions":[221,549],"circle_positions":983,"cycle_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":[222,550,878,1206,1534,1862],"clock_positions":[222,550,878,1206,1534,1862],"native_values":[547,327,763,436,656,220],"rotation_degrees":40.609756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[547,327,763,436,656,220],"beta":{"interval_sums":[157567,165425,169070,163874,156016,151388],"interval_residues":[287,281,977,696,702,6],"display_cycle":[287,281,977,696,702,6],"intervals":[{"from_index":222,"to_index":550,"sum":157567,"residue":287},{"from_index":550,"to_index":878,"sum":165425,"residue":281},{"from_index":878,"to_index":1206,"sum":169070,"residue":977},{"from_index":1206,"to_index":1534,"sum":163874,"residue":696},{"from_index":1534,"to_index":1862,"sum":156016,"residue":702},{"from_index":1862,"to_index":222,"sum":151388,"residue":6}],"minimal_cycle":[287,281,977,696,702,6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":287,"start_interval_clock_positions":[222,550],"circle_positions":983,"cycle_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":[223,551,879,1207,1535,1863],"clock_positions":[223,551,879,1207,1535,1863],"native_values":[375,226,834,608,757,149],"rotation_degrees":40.792682926829265,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[375,226,834,608,757,149],"beta":{"interval_sums":[157519,165962,168672,163922,155479,151786],"interval_residues":[239,818,579,744,165,404],"display_cycle":[239,818,579,744,165,404],"intervals":[{"from_index":223,"to_index":551,"sum":157519,"residue":239},{"from_index":551,"to_index":879,"sum":165962,"residue":818},{"from_index":879,"to_index":1207,"sum":168672,"residue":579},{"from_index":1207,"to_index":1535,"sum":163922,"residue":744},{"from_index":1535,"to_index":1863,"sum":155479,"residue":165},{"from_index":1863,"to_index":223,"sum":151786,"residue":404}],"minimal_cycle":[239,818,579,744,165,404],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":239,"start_interval_clock_positions":[223,551],"circle_positions":983,"cycle_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":[224,552,880,1208,1536,1864],"clock_positions":[224,552,880,1208,1536,1864],"native_values":[922,553,614,61,430,369],"rotation_degrees":40.97560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[922,553,614,61,430,369],"beta":{"interval_sums":[156823,166243,168666,164618,155198,151792],"interval_residues":[526,116,573,457,867,410],"display_cycle":[526,116,573,457,867,410],"intervals":[{"from_index":224,"to_index":552,"sum":156823,"residue":526},{"from_index":552,"to_index":880,"sum":166243,"residue":116},{"from_index":880,"to_index":1208,"sum":168666,"residue":573},{"from_index":1208,"to_index":1536,"sum":164618,"residue":457},{"from_index":1536,"to_index":1864,"sum":155198,"residue":867},{"from_index":1864,"to_index":224,"sum":151792,"residue":410}],"minimal_cycle":[526,116,573,457,867,410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":526,"start_interval_clock_positions":[224,552],"circle_positions":983,"cycle_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":[225,553,881,1209,1537,1865],"clock_positions":[225,553,881,1209,1537,1865],"native_values":[314,779,465,669,204,518],"rotation_degrees":41.15853658536585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[314,779,465,669,204,518],"beta":{"interval_sums":[157062,166078,168262,164379,155363,152196],"interval_residues":[765,934,169,218,49,814],"display_cycle":[765,934,169,218,49,814],"intervals":[{"from_index":225,"to_index":553,"sum":157062,"residue":765},{"from_index":553,"to_index":881,"sum":166078,"residue":934},{"from_index":881,"to_index":1209,"sum":168262,"residue":169},{"from_index":1209,"to_index":1537,"sum":164379,"residue":218},{"from_index":1537,"to_index":1865,"sum":155363,"residue":49},{"from_index":1865,"to_index":225,"sum":152196,"residue":814}],"minimal_cycle":[765,934,169,218,49,814],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":765,"start_interval_clock_positions":[225,553],"circle_positions":983,"cycle_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":[226,554,882,1210,1538,1866],"clock_positions":[226,554,882,1210,1538,1866],"native_values":[253,349,96,730,634,887],"rotation_degrees":41.34146341463415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[253,349,96,730,634,887],"beta":{"interval_sums":[157588,166194,168835,163853,155247,151623],"interval_residues":[308,67,742,675,916,241],"display_cycle":[308,67,742,675,916,241],"intervals":[{"from_index":226,"to_index":554,"sum":157588,"residue":308},{"from_index":554,"to_index":882,"sum":166194,"residue":67},{"from_index":882,"to_index":1210,"sum":168835,"residue":742},{"from_index":1210,"to_index":1538,"sum":163853,"residue":675},{"from_index":1538,"to_index":1866,"sum":155247,"residue":916},{"from_index":1866,"to_index":226,"sum":151623,"residue":241}],"minimal_cycle":[308,67,742,675,916,241],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":308,"start_interval_clock_positions":[226,554],"circle_positions":983,"cycle_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":[227,555,883,1211,1539,1867],"clock_positions":[227,555,883,1211,1539,1867],"native_values":[567,145,561,416,838,422],"rotation_degrees":41.52439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,145,561,416,838,422],"beta":{"interval_sums":[157370,166145,169004,164071,155296,151454],"interval_residues":[90,18,911,893,965,72],"display_cycle":[90,18,911,893,965,72],"intervals":[{"from_index":227,"to_index":555,"sum":157370,"residue":90},{"from_index":555,"to_index":883,"sum":166145,"residue":18},{"from_index":883,"to_index":1211,"sum":169004,"residue":911},{"from_index":1211,"to_index":1539,"sum":164071,"residue":893},{"from_index":1539,"to_index":1867,"sum":155296,"residue":965},{"from_index":1867,"to_index":227,"sum":151454,"residue":72}],"minimal_cycle":[90,18,911,893,965,72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[227,555],"circle_positions":983,"cycle_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":[228,556,884,1212,1540,1868],"clock_positions":[228,556,884,1212,1540,1868],"native_values":[820,494,657,163,489,326],"rotation_degrees":41.707317073170735,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[820,494,657,163,489,326],"beta":{"interval_sums":[156695,166212,168763,164746,155229,151695],"interval_residues":[398,85,670,585,898,313],"display_cycle":[398,85,670,585,898,313],"intervals":[{"from_index":228,"to_index":556,"sum":156695,"residue":398},{"from_index":556,"to_index":884,"sum":166212,"residue":85},{"from_index":884,"to_index":1212,"sum":168763,"residue":670},{"from_index":1212,"to_index":1540,"sum":164746,"residue":585},{"from_index":1540,"to_index":1868,"sum":155229,"residue":898},{"from_index":1868,"to_index":228,"sum":151695,"residue":313}],"minimal_cycle":[398,85,670,585,898,313],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":398,"start_interval_clock_positions":[228,556],"circle_positions":983,"cycle_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":[229,557,885,1213,1541,1869],"clock_positions":[229,557,885,1213,1541,1869],"native_values":[404,639,235,579,344,748],"rotation_degrees":41.890243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[404,639,235,579,344,748],"beta":{"interval_sums":[156785,166230,168691,164656,155211,151767],"interval_residues":[488,103,598,495,880,385],"display_cycle":[488,103,598,495,880,385],"intervals":[{"from_index":229,"to_index":557,"sum":156785,"residue":488},{"from_index":557,"to_index":885,"sum":166230,"residue":103},{"from_index":885,"to_index":1213,"sum":168691,"residue":598},{"from_index":1213,"to_index":1541,"sum":164656,"residue":495},{"from_index":1541,"to_index":1869,"sum":155211,"residue":880},{"from_index":1869,"to_index":229,"sum":151767,"residue":385}],"minimal_cycle":[488,103,598,495,880,385],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":488,"start_interval_clock_positions":[229,557],"circle_positions":983,"cycle_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":[230,558,886,1214,1542,1870],"clock_positions":[230,558,886,1214,1542,1870],"native_values":[241,150,892,742,833,91],"rotation_degrees":42.073170731707314,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,150,892,742,833,91],"beta":{"interval_sums":[157183,166315,168378,164258,155126,152080],"interval_residues":[886,188,285,97,795,698],"display_cycle":[886,188,285,97,795,698],"intervals":[{"from_index":230,"to_index":558,"sum":157183,"residue":886},{"from_index":558,"to_index":886,"sum":166315,"residue":188},{"from_index":886,"to_index":1214,"sum":168378,"residue":285},{"from_index":1214,"to_index":1542,"sum":164258,"residue":97},{"from_index":1542,"to_index":1870,"sum":155126,"residue":795},{"from_index":1870,"to_index":230,"sum":152080,"residue":698}],"minimal_cycle":[886,188,285,97,795,698],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":886,"start_interval_clock_positions":[230,558],"circle_positions":983,"cycle_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":[231,559,887,1215,1543,1871],"clock_positions":[231,559,887,1215,1543,1871],"native_values":[645,789,144,338,194,839],"rotation_degrees":42.25609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[645,789,144,338,194,839],"beta":{"interval_sums":[156688,166418,168976,164753,155023,151482],"interval_residues":[391,291,883,592,692,100],"display_cycle":[391,291,883,592,692,100],"intervals":[{"from_index":231,"to_index":559,"sum":156688,"residue":391},{"from_index":559,"to_index":887,"sum":166418,"residue":291},{"from_index":887,"to_index":1215,"sum":168976,"residue":883},{"from_index":1215,"to_index":1543,"sum":164753,"residue":592},{"from_index":1543,"to_index":1871,"sum":155023,"residue":692},{"from_index":1871,"to_index":231,"sum":151482,"residue":100}],"minimal_cycle":[391,291,883,592,692,100],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":391,"start_interval_clock_positions":[231,559],"circle_positions":983,"cycle_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":[232,560,888,1216,1544,1872],"clock_positions":[232,560,888,1216,1544,1872],"native_values":[886,939,53,97,44,930],"rotation_degrees":42.4390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[886,939,53,97,44,930],"beta":{"interval_sums":[156591,165623,169261,164850,155818,151197],"interval_residues":[294,479,185,689,504,798],"display_cycle":[294,479,185,689,504,798],"intervals":[{"from_index":232,"to_index":560,"sum":156591,"residue":294},{"from_index":560,"to_index":888,"sum":165623,"residue":479},{"from_index":888,"to_index":1216,"sum":169261,"residue":185},{"from_index":1216,"to_index":1544,"sum":164850,"residue":689},{"from_index":1544,"to_index":1872,"sum":155818,"residue":504},{"from_index":1872,"to_index":232,"sum":151197,"residue":798}],"minimal_cycle":[294,479,185,689,504,798],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[232,560],"circle_positions":983,"cycle_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":[233,561,889,1217,1545,1873],"clock_positions":[233,561,889,1217,1545,1873],"native_values":[548,745,197,435,238,786],"rotation_degrees":42.6219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[548,745,197,435,238,786],"beta":{"interval_sums":[156982,164931,169161,164459,156510,151297],"interval_residues":[685,770,85,298,213,898],"display_cycle":[685,770,85,298,213,898],"intervals":[{"from_index":233,"to_index":561,"sum":156982,"residue":685},{"from_index":561,"to_index":889,"sum":164931,"residue":770},{"from_index":889,"to_index":1217,"sum":169161,"residue":85},{"from_index":1217,"to_index":1545,"sum":164459,"residue":298},{"from_index":1545,"to_index":1873,"sum":156510,"residue":213},{"from_index":1873,"to_index":233,"sum":151297,"residue":898}],"minimal_cycle":[685,770,85,298,213,898],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":685,"start_interval_clock_positions":[233,561],"circle_positions":983,"cycle_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":[234,562,890,1218,1546,1874],"clock_positions":[234,562,890,1218,1546,1874],"native_values":[451,701,250,532,282,733],"rotation_degrees":42.80487804878049,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,701,250,532,282,733],"beta":{"interval_sums":[157276,164427,169346,164165,157014,151112],"interval_residues":[979,266,270,4,717,713],"display_cycle":[979,266,270,4,717,713],"intervals":[{"from_index":234,"to_index":562,"sum":157276,"residue":979},{"from_index":562,"to_index":890,"sum":164427,"residue":266},{"from_index":890,"to_index":1218,"sum":169346,"residue":270},{"from_index":1218,"to_index":1546,"sum":164165,"residue":4},{"from_index":1546,"to_index":1874,"sum":157014,"residue":717},{"from_index":1874,"to_index":234,"sum":151112,"residue":713}],"minimal_cycle":[979,266,270,4,717,713],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":979,"start_interval_clock_positions":[234,562],"circle_positions":983,"cycle_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":[235,563,891,1219,1547,1875],"clock_positions":[235,563,891,1219,1547,1875],"native_values":[16,463,447,967,520,536],"rotation_degrees":42.98780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[16,463,447,967,520,536],"beta":{"interval_sums":[157961,164214,169431,163480,157227,151027],"interval_residues":[681,53,355,302,930,628],"display_cycle":[681,53,355,302,930,628],"intervals":[{"from_index":235,"to_index":563,"sum":157961,"residue":681},{"from_index":563,"to_index":891,"sum":164214,"residue":53},{"from_index":891,"to_index":1219,"sum":169431,"residue":355},{"from_index":1219,"to_index":1547,"sum":163480,"residue":302},{"from_index":1547,"to_index":1875,"sum":157227,"residue":930},{"from_index":1875,"to_index":235,"sum":151027,"residue":628}],"minimal_cycle":[681,53,355,302,930,628],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":681,"start_interval_clock_positions":[235,563],"circle_positions":983,"cycle_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":[236,564,892,1220,1548,1876],"clock_positions":[236,564,892,1220,1548,1876],"native_values":[467,181,697,516,802,286],"rotation_degrees":43.170731707317074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[467,181,697,516,802,286],"beta":{"interval_sums":[157957,164480,169701,163484,156961,150757],"interval_residues":[677,319,625,306,664,358],"display_cycle":[677,319,625,306,664,358],"intervals":[{"from_index":236,"to_index":564,"sum":157957,"residue":677},{"from_index":564,"to_index":892,"sum":164480,"residue":319},{"from_index":892,"to_index":1220,"sum":169701,"residue":625},{"from_index":1220,"to_index":1548,"sum":163484,"residue":306},{"from_index":1548,"to_index":1876,"sum":156961,"residue":664},{"from_index":1876,"to_index":236,"sum":150757,"residue":358}],"minimal_cycle":[677,319,625,306,664,358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":677,"start_interval_clock_positions":[236,564],"circle_positions":983,"cycle_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":[237,565,893,1221,1549,1877],"clock_positions":[237,565,893,1221,1549,1877],"native_values":[483,644,161,500,339,822],"rotation_degrees":43.353658536585364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,644,161,500,339,822],"beta":{"interval_sums":[157655,164533,170056,163786,156908,150402],"interval_residues":[375,372,980,608,611,3],"display_cycle":[375,372,980,608,611,3],"intervals":[{"from_index":237,"to_index":565,"sum":157655,"residue":375},{"from_index":565,"to_index":893,"sum":164533,"residue":372},{"from_index":893,"to_index":1221,"sum":170056,"residue":980},{"from_index":1221,"to_index":1549,"sum":163786,"residue":608},{"from_index":1549,"to_index":1877,"sum":156908,"residue":611},{"from_index":1877,"to_index":237,"sum":150402,"residue":3}],"minimal_cycle":[375,372,980,608,611,3],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":375,"start_interval_clock_positions":[237,565],"circle_positions":983,"cycle_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":[238,566,894,1222,1550,1878],"clock_positions":[238,566,894,1222,1550,1878],"native_values":[950,825,858,33,158,125],"rotation_degrees":43.53658536585366,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[950,825,858,33,158,125],"beta":{"interval_sums":[157349,163869,169698,164092,157572,150760],"interval_residues":[69,691,622,914,292,361],"display_cycle":[69,691,622,914,292,361],"intervals":[{"from_index":238,"to_index":566,"sum":157349,"residue":69},{"from_index":566,"to_index":894,"sum":163869,"residue":691},{"from_index":894,"to_index":1222,"sum":169698,"residue":622},{"from_index":1222,"to_index":1550,"sum":164092,"residue":914},{"from_index":1550,"to_index":1878,"sum":157572,"residue":292},{"from_index":1878,"to_index":238,"sum":150760,"residue":361}],"minimal_cycle":[69,691,622,914,292,361],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":69,"start_interval_clock_positions":[238,566],"circle_positions":983,"cycle_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":[239,567,895,1223,1551,1879],"clock_positions":[239,567,895,1223,1551,1879],"native_values":[450,486,36,533,497,947],"rotation_degrees":43.71951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[450,486,36,533,497,947],"beta":{"interval_sums":[157724,164241,169695,163717,157200,150763],"interval_residues":[444,80,619,539,903,364],"display_cycle":[444,80,619,539,903,364],"intervals":[{"from_index":239,"to_index":567,"sum":157724,"residue":444},{"from_index":567,"to_index":895,"sum":164241,"residue":80},{"from_index":895,"to_index":1223,"sum":169695,"residue":619},{"from_index":1223,"to_index":1551,"sum":163717,"residue":539},{"from_index":1551,"to_index":1879,"sum":157200,"residue":903},{"from_index":1879,"to_index":239,"sum":150763,"residue":364}],"minimal_cycle":[444,80,619,539,903,364],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[239,567],"circle_positions":983,"cycle_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":[240,568,896,1224,1552,1880],"clock_positions":[240,568,896,1224,1552,1880],"native_values":[417,328,894,566,655,89],"rotation_degrees":43.90243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,328,894,566,655,89],"beta":{"interval_sums":[157793,163949,169334,163648,157492,151124],"interval_residues":[513,771,258,470,212,725],"display_cycle":[513,771,258,470,212,725],"intervals":[{"from_index":240,"to_index":568,"sum":157793,"residue":513},{"from_index":568,"to_index":896,"sum":163949,"residue":771},{"from_index":896,"to_index":1224,"sum":169334,"residue":258},{"from_index":1224,"to_index":1552,"sum":163648,"residue":470},{"from_index":1552,"to_index":1880,"sum":157492,"residue":212},{"from_index":1880,"to_index":240,"sum":151124,"residue":725}],"minimal_cycle":[513,771,258,470,212,725],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":513,"start_interval_clock_positions":[240,568],"circle_positions":983,"cycle_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":[241,569,897,1225,1553,1881],"clock_positions":[241,569,897,1225,1553,1881],"native_values":[867,814,930,116,169,53],"rotation_degrees":44.08536585365854,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[867,814,930,116,169,53],"beta":{"interval_sums":[157254,164029,168970,164187,157412,151488],"interval_residues":[957,851,877,26,132,106],"display_cycle":[957,851,877,26,132,106],"intervals":[{"from_index":241,"to_index":569,"sum":157254,"residue":957},{"from_index":569,"to_index":897,"sum":164029,"residue":851},{"from_index":897,"to_index":1225,"sum":168970,"residue":877},{"from_index":1225,"to_index":1553,"sum":164187,"residue":26},{"from_index":1553,"to_index":1881,"sum":157412,"residue":132},{"from_index":1881,"to_index":241,"sum":151488,"residue":106}],"minimal_cycle":[957,851,877,26,132,106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":957,"start_interval_clock_positions":[241,569],"circle_positions":983,"cycle_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":[242,570,898,1226,1554,1882],"clock_positions":[242,570,898,1226,1554,1882],"native_values":[301,159,841,682,824,142],"rotation_degrees":44.26829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,159,841,682,824,142],"beta":{"interval_sums":[157767,164800,168245,163674,156641,152213],"interval_residues":[487,639,152,496,344,831],"display_cycle":[487,639,152,496,344,831],"intervals":[{"from_index":242,"to_index":570,"sum":157767,"residue":487},{"from_index":570,"to_index":898,"sum":164800,"residue":639},{"from_index":898,"to_index":1226,"sum":168245,"residue":152},{"from_index":1226,"to_index":1554,"sum":163674,"residue":496},{"from_index":1554,"to_index":1882,"sum":156641,"residue":344},{"from_index":1882,"to_index":242,"sum":152213,"residue":831}],"minimal_cycle":[487,639,152,496,344,831],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":487,"start_interval_clock_positions":[242,570],"circle_positions":983,"cycle_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":[243,571,899,1227,1555,1883],"clock_positions":[243,571,899,1227,1555,1883],"native_values":[185,973,788,798,10,195],"rotation_degrees":44.451219512195124,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[185,973,788,798,10,195],"beta":{"interval_sums":[157741,164668,168139,163700,156773,152319],"interval_residues":[461,507,46,522,476,937],"display_cycle":[461,507,46,522,476,937],"intervals":[{"from_index":243,"to_index":571,"sum":157741,"residue":461},{"from_index":571,"to_index":899,"sum":164668,"residue":507},{"from_index":899,"to_index":1227,"sum":168139,"residue":46},{"from_index":1227,"to_index":1555,"sum":163700,"residue":522},{"from_index":1555,"to_index":1883,"sum":156773,"residue":476},{"from_index":1883,"to_index":243,"sum":152319,"residue":937}],"minimal_cycle":[461,507,46,522,476,937],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":461,"start_interval_clock_positions":[243,571],"circle_positions":983,"cycle_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":[244,572,900,1228,1556,1884],"clock_positions":[244,572,900,1228,1556,1884],"native_values":[486,149,646,497,834,337],"rotation_degrees":44.63414634146341,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[486,149,646,497,834,337],"beta":{"interval_sums":[158228,165307,168291,163213,156134,152167],"interval_residues":[948,163,198,35,820,785],"display_cycle":[948,163,198,35,820,785],"intervals":[{"from_index":244,"to_index":572,"sum":158228,"residue":948},{"from_index":572,"to_index":900,"sum":165307,"residue":163},{"from_index":900,"to_index":1228,"sum":168291,"residue":198},{"from_index":1228,"to_index":1556,"sum":163213,"residue":35},{"from_index":1556,"to_index":1884,"sum":156134,"residue":820},{"from_index":1884,"to_index":244,"sum":152167,"residue":785}],"minimal_cycle":[948,163,198,35,820,785],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":948,"start_interval_clock_positions":[244,572],"circle_positions":983,"cycle_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":[245,573,901,1229,1557,1885],"clock_positions":[245,573,901,1229,1557,1885],"native_values":[671,139,451,312,844,532],"rotation_degrees":44.81707317073171,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,139,451,312,844,532],"beta":{"interval_sums":[157706,165814,168337,163735,155627,152121],"interval_residues":[426,670,244,557,313,739],"display_cycle":[426,670,244,557,313,739],"intervals":[{"from_index":245,"to_index":573,"sum":157706,"residue":426},{"from_index":573,"to_index":901,"sum":165814,"residue":670},{"from_index":901,"to_index":1229,"sum":168337,"residue":244},{"from_index":1229,"to_index":1557,"sum":163735,"residue":557},{"from_index":1557,"to_index":1885,"sum":155627,"residue":313},{"from_index":1885,"to_index":245,"sum":152121,"residue":739}],"minimal_cycle":[426,670,244,557,313,739],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":426,"start_interval_clock_positions":[245,573],"circle_positions":983,"cycle_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":[246,574,902,1230,1558,1886],"clock_positions":[246,574,902,1230,1558,1886],"native_values":[174,288,114,809,695,869],"rotation_degrees":45.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[174,288,114,809,695,869],"beta":{"interval_sums":[157671,165977,168535,163770,155464,151923],"interval_residues":[391,833,442,592,150,541],"display_cycle":[391,833,442,592,150,541],"intervals":[{"from_index":246,"to_index":574,"sum":157671,"residue":391},{"from_index":574,"to_index":902,"sum":165977,"residue":833},{"from_index":902,"to_index":1230,"sum":168535,"residue":442},{"from_index":1230,"to_index":1558,"sum":163770,"residue":592},{"from_index":1558,"to_index":1886,"sum":155464,"residue":150},{"from_index":1886,"to_index":246,"sum":151923,"residue":541}],"minimal_cycle":[391,833,442,592,150,541],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":391,"start_interval_clock_positions":[246,574],"circle_positions":983,"cycle_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":[247,575,903,1231,1559,1887],"clock_positions":[247,575,903,1231,1559,1887],"native_values":[845,427,565,138,556,418],"rotation_degrees":45.18292682926829,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[845,427,565,138,556,418],"beta":{"interval_sums":[157114,165664,168779,164327,155777,151679],"interval_residues":[817,520,686,166,463,297],"display_cycle":[817,520,686,166,463,297],"intervals":[{"from_index":247,"to_index":575,"sum":157114,"residue":817},{"from_index":575,"to_index":903,"sum":165664,"residue":520},{"from_index":903,"to_index":1231,"sum":168779,"residue":686},{"from_index":1231,"to_index":1559,"sum":164327,"residue":166},{"from_index":1559,"to_index":1887,"sum":155777,"residue":463},{"from_index":1887,"to_index":247,"sum":151679,"residue":297}],"minimal_cycle":[817,520,686,166,463,297],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":817,"start_interval_clock_positions":[247,575],"circle_positions":983,"cycle_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":[248,576,904,1232,1560,1888],"clock_positions":[248,576,904,1232,1560,1888],"native_values":[36,715,679,947,268,304],"rotation_degrees":45.36585365853659,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,715,679,947,268,304],"beta":{"interval_sums":[157505,165514,168238,163936,155927,152220],"interval_residues":[225,370,145,758,613,838],"display_cycle":[225,370,145,758,613,838],"intervals":[{"from_index":248,"to_index":576,"sum":157505,"residue":225},{"from_index":576,"to_index":904,"sum":165514,"residue":370},{"from_index":904,"to_index":1232,"sum":168238,"residue":145},{"from_index":1232,"to_index":1560,"sum":163936,"residue":758},{"from_index":1560,"to_index":1888,"sum":155927,"residue":613},{"from_index":1888,"to_index":248,"sum":152220,"residue":838}],"minimal_cycle":[225,370,145,758,613,838],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":225,"start_interval_clock_positions":[248,576],"circle_positions":983,"cycle_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":[249,577,905,1233,1561,1889],"clock_positions":[249,577,905,1233,1561,1889],"native_values":[881,159,261,102,824,722],"rotation_degrees":45.548780487804876,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[881,159,261,102,824,722],"beta":{"interval_sums":[157339,166034,168924,164102,155407,151534],"interval_residues":[59,890,831,924,93,152],"display_cycle":[59,890,831,924,93,152],"intervals":[{"from_index":249,"to_index":577,"sum":157339,"residue":59},{"from_index":577,"to_index":905,"sum":166034,"residue":890},{"from_index":905,"to_index":1233,"sum":168924,"residue":831},{"from_index":1233,"to_index":1561,"sum":164102,"residue":924},{"from_index":1561,"to_index":1889,"sum":155407,"residue":93},{"from_index":1889,"to_index":249,"sum":151534,"residue":152}],"minimal_cycle":[59,890,831,924,93,152],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":59,"start_interval_clock_positions":[249,577],"circle_positions":983,"cycle_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":[250,578,906,1234,1562,1890],"clock_positions":[250,578,906,1234,1562,1890],"native_values":[917,874,940,66,109,43],"rotation_degrees":45.73170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[917,874,940,66,109,43],"beta":{"interval_sums":[156581,165421,168086,164860,156020,152372],"interval_residues":[284,277,976,699,706,7],"display_cycle":[284,277,976,699,706,7],"intervals":[{"from_index":250,"to_index":578,"sum":156581,"residue":284},{"from_index":578,"to_index":906,"sum":165421,"residue":277},{"from_index":906,"to_index":1234,"sum":168086,"residue":976},{"from_index":1234,"to_index":1562,"sum":164860,"residue":699},{"from_index":1562,"to_index":1890,"sum":156020,"residue":706},{"from_index":1890,"to_index":250,"sum":152372,"residue":7}],"minimal_cycle":[284,277,976,699,706,7],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":284,"start_interval_clock_positions":[250,578],"circle_positions":983,"cycle_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":[251,579,907,1235,1563,1891],"clock_positions":[251,579,907,1235,1563,1891],"native_values":[815,50,218,168,933,765],"rotation_degrees":45.91463414634146,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[815,50,218,168,933,765],"beta":{"interval_sums":[156640,166311,167934,164801,155130,152524],"interval_residues":[343,184,824,640,799,159],"display_cycle":[343,184,824,640,799,159],"intervals":[{"from_index":251,"to_index":579,"sum":156640,"residue":343},{"from_index":579,"to_index":907,"sum":166311,"residue":184},{"from_index":907,"to_index":1235,"sum":167934,"residue":824},{"from_index":1235,"to_index":1563,"sum":164801,"residue":640},{"from_index":1563,"to_index":1891,"sum":155130,"residue":799},{"from_index":1891,"to_index":251,"sum":152524,"residue":159}],"minimal_cycle":[343,184,824,640,799,159],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":343,"start_interval_clock_positions":[251,579],"circle_positions":983,"cycle_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":[252,580,908,1236,1564,1892],"clock_positions":[252,580,908,1236,1564,1892],"native_values":[749,924,175,234,59,808],"rotation_degrees":46.09756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[749,924,175,234,59,808],"beta":{"interval_sums":[155941,165605,167927,165500,155836,152531],"interval_residues":[627,461,817,356,522,166],"display_cycle":[627,461,817,356,522,166],"intervals":[{"from_index":252,"to_index":580,"sum":155941,"residue":627},{"from_index":580,"to_index":908,"sum":165605,"residue":461},{"from_index":908,"to_index":1236,"sum":167927,"residue":817},{"from_index":1236,"to_index":1564,"sum":165500,"residue":356},{"from_index":1564,"to_index":1892,"sum":155836,"residue":522},{"from_index":1892,"to_index":252,"sum":152531,"residue":166}],"minimal_cycle":[627,461,817,356,522,166],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":627,"start_interval_clock_positions":[252,580],"circle_positions":983,"cycle_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":[253,581,909,1237,1565,1893],"clock_positions":[253,581,909,1237,1565,1893],"native_values":[581,974,393,402,9,590],"rotation_degrees":46.28048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[581,974,393,402,9,590],"beta":{"interval_sums":[156284,164806,167768,165157,156635,152690],"interval_residues":[970,645,658,13,338,325],"display_cycle":[970,645,658,13,338,325],"intervals":[{"from_index":253,"to_index":581,"sum":156284,"residue":970},{"from_index":581,"to_index":909,"sum":164806,"residue":645},{"from_index":909,"to_index":1237,"sum":167768,"residue":658},{"from_index":1237,"to_index":1565,"sum":165157,"residue":13},{"from_index":1565,"to_index":1893,"sum":156635,"residue":338},{"from_index":1893,"to_index":253,"sum":152690,"residue":325}],"minimal_cycle":[970,645,658,13,338,325],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":970,"start_interval_clock_positions":[253,581],"circle_positions":983,"cycle_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":[254,582,910,1238,1566,1894],"clock_positions":[254,582,910,1238,1566,1894],"native_values":[347,915,568,636,68,415],"rotation_degrees":46.46341463414634,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,915,568,636,68,415],"beta":{"interval_sums":[156911,164284,167602,164530,157157,152856],"interval_residues":[614,123,492,369,860,491],"display_cycle":[614,123,492,369,860,491],"intervals":[{"from_index":254,"to_index":582,"sum":156911,"residue":614},{"from_index":582,"to_index":910,"sum":164284,"residue":123},{"from_index":910,"to_index":1238,"sum":167602,"residue":492},{"from_index":1238,"to_index":1566,"sum":164530,"residue":369},{"from_index":1566,"to_index":1894,"sum":157157,"residue":860},{"from_index":1894,"to_index":254,"sum":152856,"residue":491}],"minimal_cycle":[614,123,492,369,860,491],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":614,"start_interval_clock_positions":[254,582],"circle_positions":983,"cycle_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":[255,583,911,1239,1567,1895],"clock_positions":[255,583,911,1239,1567,1895],"native_values":[928,906,961,55,77,22],"rotation_degrees":46.646341463414636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[928,906,961,55,77,22],"beta":{"interval_sums":[156898,163946,167277,164543,157495,153181],"interval_residues":[601,768,167,382,215,816],"display_cycle":[601,768,167,382,215,816],"intervals":[{"from_index":255,"to_index":583,"sum":156898,"residue":601},{"from_index":583,"to_index":911,"sum":163946,"residue":768},{"from_index":911,"to_index":1239,"sum":167277,"residue":167},{"from_index":1239,"to_index":1567,"sum":164543,"residue":382},{"from_index":1567,"to_index":1895,"sum":157495,"residue":215},{"from_index":1895,"to_index":255,"sum":153181,"residue":816}],"minimal_cycle":[601,768,167,382,215,816],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":601,"start_interval_clock_positions":[255,583],"circle_positions":983,"cycle_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":[256,584,912,1240,1568,1896],"clock_positions":[256,584,912,1240,1568,1896],"native_values":[292,838,546,691,145,437],"rotation_degrees":46.829268292682926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,838,546,691,145,437],"beta":{"interval_sums":[157512,164069,166786,163929,157372,153672],"interval_residues":[232,891,659,751,92,324],"display_cycle":[232,891,659,751,92,324],"intervals":[{"from_index":256,"to_index":584,"sum":157512,"residue":232},{"from_index":584,"to_index":912,"sum":164069,"residue":891},{"from_index":912,"to_index":1240,"sum":166786,"residue":659},{"from_index":1240,"to_index":1568,"sum":163929,"residue":751},{"from_index":1568,"to_index":1896,"sum":157372,"residue":92},{"from_index":1896,"to_index":256,"sum":153672,"residue":324}],"minimal_cycle":[232,891,659,751,92,324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[256,584],"circle_positions":983,"cycle_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":[257,585,913,1241,1569,1897],"clock_positions":[257,585,913,1241,1569,1897],"native_values":[237,761,524,746,222,459],"rotation_degrees":47.01219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,761,524,746,222,459],"beta":{"interval_sums":[158113,163854,166953,163328,157587,153505],"interval_residues":[833,676,826,150,307,157],"display_cycle":[833,676,826,150,307,157],"intervals":[{"from_index":257,"to_index":585,"sum":158113,"residue":833},{"from_index":585,"to_index":913,"sum":163854,"residue":676},{"from_index":913,"to_index":1241,"sum":166953,"residue":826},{"from_index":1241,"to_index":1569,"sum":163328,"residue":150},{"from_index":1569,"to_index":1897,"sum":157587,"residue":307},{"from_index":1897,"to_index":257,"sum":153505,"residue":157}],"minimal_cycle":[833,676,826,150,307,157],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":833,"start_interval_clock_positions":[257,585],"circle_positions":983,"cycle_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":[258,586,914,1242,1570,1898],"clock_positions":[258,586,914,1242,1570,1898],"native_values":[529,616,87,454,367,896],"rotation_degrees":47.19512195121951,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[529,616,87,454,367,896],"beta":{"interval_sums":[158345,163762,167612,163096,157679,152846],"interval_residues":[82,584,502,901,399,481],"display_cycle":[82,584,502,901,399,481],"intervals":[{"from_index":258,"to_index":586,"sum":158345,"residue":82},{"from_index":586,"to_index":914,"sum":163762,"residue":584},{"from_index":914,"to_index":1242,"sum":167612,"residue":502},{"from_index":1242,"to_index":1570,"sum":163096,"residue":901},{"from_index":1570,"to_index":1898,"sum":157679,"residue":399},{"from_index":1898,"to_index":258,"sum":152846,"residue":481}],"minimal_cycle":[82,584,502,901,399,481],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[258,586],"circle_positions":983,"cycle_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":[259,587,915,1243,1571,1899],"clock_positions":[259,587,915,1243,1571,1899],"native_values":[766,394,611,217,589,372],"rotation_degrees":47.3780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[766,394,611,217,589,372],"beta":{"interval_sums":[158195,163455,167455,163246,157986,153003],"interval_residues":[915,277,345,68,706,638],"display_cycle":[915,277,345,68,706,638],"intervals":[{"from_index":259,"to_index":587,"sum":158195,"residue":915},{"from_index":587,"to_index":915,"sum":163455,"residue":277},{"from_index":915,"to_index":1243,"sum":167455,"residue":345},{"from_index":1243,"to_index":1571,"sum":163246,"residue":68},{"from_index":1571,"to_index":1899,"sum":157986,"residue":706},{"from_index":1899,"to_index":259,"sum":153003,"residue":638}],"minimal_cycle":[915,277,345,68,706,638],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":915,"start_interval_clock_positions":[259,587],"circle_positions":983,"cycle_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":[260,588,916,1244,1572,1900],"clock_positions":[260,588,916,1244,1572,1900],"native_values":[312,27,698,671,956,285],"rotation_degrees":47.5609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[312,27,698,671,956,285],"beta":{"interval_sums":[158277,164039,166974,163164,157402,153484],"interval_residues":[14,861,847,969,122,136],"display_cycle":[14,861,847,969,122,136],"intervals":[{"from_index":260,"to_index":588,"sum":158277,"residue":14},{"from_index":588,"to_index":916,"sum":164039,"residue":861},{"from_index":916,"to_index":1244,"sum":166974,"residue":847},{"from_index":1244,"to_index":1572,"sum":163164,"residue":969},{"from_index":1572,"to_index":1900,"sum":157402,"residue":122},{"from_index":1900,"to_index":260,"sum":153484,"residue":136}],"minimal_cycle":[14,861,847,969,122,136],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[260,588],"circle_positions":983,"cycle_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":[261,589,917,1245,1573,1901],"clock_positions":[261,589,917,1245,1573,1901],"native_values":[95,421,326,888,562,657],"rotation_degrees":47.74390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,421,326,888,562,657],"beta":{"interval_sums":[158209,164316,167319,163232,157125,153139],"interval_residues":[929,155,209,54,828,774],"display_cycle":[929,155,209,54,828,774],"intervals":[{"from_index":261,"to_index":589,"sum":158209,"residue":929},{"from_index":589,"to_index":917,"sum":164316,"residue":155},{"from_index":917,"to_index":1245,"sum":167319,"residue":209},{"from_index":1245,"to_index":1573,"sum":163232,"residue":54},{"from_index":1573,"to_index":1901,"sum":157125,"residue":828},{"from_index":1901,"to_index":261,"sum":153139,"residue":774}],"minimal_cycle":[929,155,209,54,828,774],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":929,"start_interval_clock_positions":[261,589],"circle_positions":983,"cycle_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":[262,590,918,1246,1574,1902],"clock_positions":[262,590,918,1246,1574,1902],"native_values":[407,448,41,576,535,942],"rotation_degrees":47.926829268292686,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[407,448,41,576,535,942],"beta":{"interval_sums":[158223,164194,168166,163218,157247,152292],"interval_residues":[943,33,73,40,950,910],"display_cycle":[943,33,73,40,950,910],"intervals":[{"from_index":262,"to_index":590,"sum":158223,"residue":943},{"from_index":590,"to_index":918,"sum":164194,"residue":33},{"from_index":918,"to_index":1246,"sum":168166,"residue":73},{"from_index":1246,"to_index":1574,"sum":163218,"residue":40},{"from_index":1574,"to_index":1902,"sum":157247,"residue":950},{"from_index":1902,"to_index":262,"sum":152292,"residue":910}],"minimal_cycle":[943,33,73,40,950,910],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":943,"start_interval_clock_positions":[262,590],"circle_positions":983,"cycle_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":[263,591,919,1247,1575,1903],"clock_positions":[263,591,919,1247,1575,1903],"native_values":[502,869,367,481,114,616],"rotation_degrees":48.109756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,869,367,481,114,616],"beta":{"interval_sums":[158169,163366,168375,163272,158075,152083],"interval_residues":[889,188,282,94,795,701],"display_cycle":[889,188,282,94,795,701],"intervals":[{"from_index":263,"to_index":591,"sum":158169,"residue":889},{"from_index":591,"to_index":919,"sum":163366,"residue":188},{"from_index":919,"to_index":1247,"sum":168375,"residue":282},{"from_index":1247,"to_index":1575,"sum":163272,"residue":94},{"from_index":1575,"to_index":1903,"sum":158075,"residue":795},{"from_index":1903,"to_index":263,"sum":152083,"residue":701}],"minimal_cycle":[889,188,282,94,795,701],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":889,"start_interval_clock_positions":[263,591],"circle_positions":983,"cycle_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":[264,592,920,1248,1576,1904],"clock_positions":[264,592,920,1248,1576,1904],"native_values":[909,334,408,74,649,575],"rotation_degrees":48.292682926829265,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[909,334,408,74,649,575],"beta":{"interval_sums":[158129,163399,168448,163312,158042,152010],"interval_residues":[849,221,355,134,762,628],"display_cycle":[849,221,355,134,762,628],"intervals":[{"from_index":264,"to_index":592,"sum":158129,"residue":849},{"from_index":592,"to_index":920,"sum":163399,"residue":221},{"from_index":920,"to_index":1248,"sum":168448,"residue":355},{"from_index":1248,"to_index":1576,"sum":163312,"residue":134},{"from_index":1576,"to_index":1904,"sum":158042,"residue":762},{"from_index":1904,"to_index":264,"sum":152010,"residue":628}],"minimal_cycle":[849,221,355,134,762,628],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":849,"start_interval_clock_positions":[264,592],"circle_positions":983,"cycle_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":[265,593,921,1249,1577,1905],"clock_positions":[265,593,921,1249,1577,1905],"native_values":[428,220,775,555,763,208],"rotation_degrees":48.47560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,220,775,555,763,208],"beta":{"interval_sums":[158035,163587,167747,163406,157854,152711],"interval_residues":[755,409,637,228,574,346],"display_cycle":[755,409,637,228,574,346],"intervals":[{"from_index":265,"to_index":593,"sum":158035,"residue":755},{"from_index":593,"to_index":921,"sum":163587,"residue":409},{"from_index":921,"to_index":1249,"sum":167747,"residue":637},{"from_index":1249,"to_index":1577,"sum":163406,"residue":228},{"from_index":1577,"to_index":1905,"sum":157854,"residue":574},{"from_index":1905,"to_index":265,"sum":152711,"residue":346}],"minimal_cycle":[755,409,637,228,574,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":755,"start_interval_clock_positions":[265,593],"circle_positions":983,"cycle_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":[266,594,922,1250,1578,1906],"clock_positions":[266,594,922,1250,1578,1906],"native_values":[354,554,200,629,429,783],"rotation_degrees":48.65853658536585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[354,554,200,629,429,783],"beta":{"interval_sums":[157901,163808,168102,163540,157633,152356],"interval_residues":[621,630,9,362,353,974],"display_cycle":[621,630,9,362,353,974],"intervals":[{"from_index":266,"to_index":594,"sum":157901,"residue":621},{"from_index":594,"to_index":922,"sum":163808,"residue":630},{"from_index":922,"to_index":1250,"sum":168102,"residue":9},{"from_index":1250,"to_index":1578,"sum":163540,"residue":362},{"from_index":1578,"to_index":1906,"sum":157633,"residue":353},{"from_index":1906,"to_index":266,"sum":152356,"residue":974}],"minimal_cycle":[621,630,9,362,353,974],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":621,"start_interval_clock_positions":[266,594],"circle_positions":983,"cycle_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":[267,595,923,1251,1579,1907],"clock_positions":[267,595,923,1251,1579,1907],"native_values":[782,774,975,201,209,8],"rotation_degrees":48.84146341463415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[782,774,975,201,209,8],"beta":{"interval_sums":[157673,163234,167756,163768,158207,152702],"interval_residues":[393,56,646,590,927,337],"display_cycle":[393,56,646,590,927,337],"intervals":[{"from_index":267,"to_index":595,"sum":157673,"residue":393},{"from_index":595,"to_index":923,"sum":163234,"residue":56},{"from_index":923,"to_index":1251,"sum":167756,"residue":646},{"from_index":1251,"to_index":1579,"sum":163768,"residue":590},{"from_index":1579,"to_index":1907,"sum":158207,"residue":927},{"from_index":1907,"to_index":267,"sum":152702,"residue":337}],"minimal_cycle":[393,56,646,590,927,337],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":393,"start_interval_clock_positions":[267,595],"circle_positions":983,"cycle_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":[268,596,924,1252,1580,1908],"clock_positions":[268,596,924,1252,1580,1908],"native_values":[153,345,192,830,638,791],"rotation_degrees":49.02439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[153,345,192,830,638,791],"beta":{"interval_sums":[158294,163864,167765,163147,157577,152693],"interval_residues":[31,686,655,952,297,328],"display_cycle":[31,686,655,952,297,328],"intervals":[{"from_index":268,"to_index":596,"sum":158294,"residue":31},{"from_index":596,"to_index":924,"sum":163864,"residue":686},{"from_index":924,"to_index":1252,"sum":167765,"residue":655},{"from_index":1252,"to_index":1580,"sum":163147,"residue":952},{"from_index":1580,"to_index":1908,"sum":157577,"residue":297},{"from_index":1908,"to_index":268,"sum":152693,"residue":328}],"minimal_cycle":[31,686,655,952,297,328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":31,"start_interval_clock_positions":[268,596],"circle_positions":983,"cycle_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":[269,597,925,1253,1581,1909],"clock_positions":[269,597,925,1253,1581,1909],"native_values":[935,136,184,48,847,799],"rotation_degrees":49.207317073170735,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[935,136,184,48,847,799],"beta":{"interval_sums":[157704,163920,168411,163737,157521,152047],"interval_residues":[424,742,318,559,241,665],"display_cycle":[424,742,318,559,241,665],"intervals":[{"from_index":269,"to_index":597,"sum":157704,"residue":424},{"from_index":597,"to_index":925,"sum":163920,"residue":742},{"from_index":925,"to_index":1253,"sum":168411,"residue":318},{"from_index":1253,"to_index":1581,"sum":163737,"residue":559},{"from_index":1581,"to_index":1909,"sum":157521,"residue":241},{"from_index":1909,"to_index":269,"sum":152047,"residue":665}],"minimal_cycle":[424,742,318,559,241,665],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[269,597],"circle_positions":983,"cycle_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":[270,598,926,1254,1582,1910],"clock_positions":[270,598,926,1254,1582,1910],"native_values":[105,481,376,878,502,607],"rotation_degrees":49.390243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[105,481,376,878,502,607],"beta":{"interval_sums":[157735,163623,168083,163706,157818,152375],"interval_residues":[455,445,973,528,538,10],"display_cycle":[455,445,973,528,538,10],"intervals":[{"from_index":270,"to_index":598,"sum":157735,"residue":455},{"from_index":598,"to_index":926,"sum":163623,"residue":445},{"from_index":926,"to_index":1254,"sum":168083,"residue":973},{"from_index":1254,"to_index":1582,"sum":163706,"residue":528},{"from_index":1582,"to_index":1910,"sum":157818,"residue":538},{"from_index":1910,"to_index":270,"sum":152375,"residue":10}],"minimal_cycle":[455,445,973,528,538,10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":455,"start_interval_clock_positions":[270,598],"circle_positions":983,"cycle_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":[271,599,927,1255,1583,1911],"clock_positions":[271,599,927,1255,1583,1911],"native_values":[57,617,560,926,366,423],"rotation_degrees":49.573170731707314,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,617,560,926,366,423],"beta":{"interval_sums":[158159,163382,168401,163282,158059,152057],"interval_residues":[879,204,308,104,779,675],"display_cycle":[879,204,308,104,779,675],"intervals":[{"from_index":271,"to_index":599,"sum":158159,"residue":879},{"from_index":599,"to_index":927,"sum":163382,"residue":204},{"from_index":927,"to_index":1255,"sum":168401,"residue":308},{"from_index":1255,"to_index":1583,"sum":163282,"residue":104},{"from_index":1583,"to_index":1911,"sum":158059,"residue":779},{"from_index":1911,"to_index":271,"sum":152057,"residue":675}],"minimal_cycle":[879,204,308,104,779,675],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":879,"start_interval_clock_positions":[271,599],"circle_positions":983,"cycle_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":[272,600,928,1256,1584,1912],"clock_positions":[272,600,928,1256,1584,1912],"native_values":[162,115,936,821,868,47],"rotation_degrees":49.75609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[162,115,936,821,868,47],"beta":{"interval_sums":[158614,163827,168391,162827,157614,152067],"interval_residues":[351,649,298,632,334,685],"display_cycle":[351,649,298,632,334,685],"intervals":[{"from_index":272,"to_index":600,"sum":158614,"residue":351},{"from_index":600,"to_index":928,"sum":163827,"residue":649},{"from_index":928,"to_index":1256,"sum":168391,"residue":298},{"from_index":1256,"to_index":1584,"sum":162827,"residue":632},{"from_index":1584,"to_index":1912,"sum":157614,"residue":334},{"from_index":1912,"to_index":272,"sum":152067,"residue":685}],"minimal_cycle":[351,649,298,632,334,685],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":351,"start_interval_clock_positions":[272,600],"circle_positions":983,"cycle_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":[273,601,929,1257,1585,1913],"clock_positions":[273,601,929,1257,1585,1913],"native_values":[219,732,513,764,251,470],"rotation_degrees":49.9390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,732,513,764,251,470],"beta":{"interval_sums":[158510,164031,168699,162931,157410,151759],"interval_residues":[247,853,606,736,130,377],"display_cycle":[247,853,606,736,130,377],"intervals":[{"from_index":273,"to_index":601,"sum":158510,"residue":247},{"from_index":601,"to_index":929,"sum":164031,"residue":853},{"from_index":929,"to_index":1257,"sum":168699,"residue":606},{"from_index":1257,"to_index":1585,"sum":162931,"residue":736},{"from_index":1585,"to_index":1913,"sum":157410,"residue":130},{"from_index":1913,"to_index":273,"sum":151759,"residue":377}],"minimal_cycle":[247,853,606,736,130,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":247,"start_interval_clock_positions":[273,601],"circle_positions":983,"cycle_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":[274,602,930,1258,1586,1914],"clock_positions":[274,602,930,1258,1586,1914],"native_values":[381,847,466,602,136,517],"rotation_degrees":50.1219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,847,466,602,136,517],"beta":{"interval_sums":[158861,163697,168997,162580,157744,151461],"interval_residues":[598,519,904,385,464,79],"display_cycle":[598,519,904,385,464,79],"intervals":[{"from_index":274,"to_index":602,"sum":158861,"residue":598},{"from_index":602,"to_index":930,"sum":163697,"residue":519},{"from_index":930,"to_index":1258,"sum":168997,"residue":904},{"from_index":1258,"to_index":1586,"sum":162580,"residue":385},{"from_index":1586,"to_index":1914,"sum":157744,"residue":464},{"from_index":1914,"to_index":274,"sum":151461,"residue":79}],"minimal_cycle":[598,519,904,385,464,79],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":598,"start_interval_clock_positions":[274,602],"circle_positions":983,"cycle_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":[275,603,931,1259,1587,1915],"clock_positions":[275,603,931,1259,1587,1915],"native_values":[600,596,979,383,387,4],"rotation_degrees":50.30487804878049,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[600,596,979,383,387,4],"beta":{"interval_sums":[159108,163567,168620,162333,157874,151838],"interval_residues":[845,389,527,138,594,456],"display_cycle":[845,389,527,138,594,456],"intervals":[{"from_index":275,"to_index":603,"sum":159108,"residue":845},{"from_index":603,"to_index":931,"sum":163567,"residue":389},{"from_index":931,"to_index":1259,"sum":168620,"residue":527},{"from_index":1259,"to_index":1587,"sum":162333,"residue":138},{"from_index":1587,"to_index":1915,"sum":157874,"residue":594},{"from_index":1915,"to_index":275,"sum":151838,"residue":456}],"minimal_cycle":[845,389,527,138,594,456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":845,"start_interval_clock_positions":[275,603],"circle_positions":983,"cycle_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":[276,604,932,1260,1588,1916],"clock_positions":[276,604,932,1260,1588,1916],"native_values":[981,460,462,2,523,521],"rotation_degrees":50.48780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[981,460,462,2,523,521],"beta":{"interval_sums":[158723,164086,168541,162718,157355,151917],"interval_residues":[460,908,448,523,75,535],"display_cycle":[460,908,448,523,75,535],"intervals":[{"from_index":276,"to_index":604,"sum":158723,"residue":460},{"from_index":604,"to_index":932,"sum":164086,"residue":908},{"from_index":932,"to_index":1260,"sum":168541,"residue":448},{"from_index":1260,"to_index":1588,"sum":162718,"residue":523},{"from_index":1588,"to_index":1916,"sum":157355,"residue":75},{"from_index":1916,"to_index":276,"sum":151917,"residue":535}],"minimal_cycle":[460,908,448,523,75,535],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":460,"start_interval_clock_positions":[276,604],"circle_positions":983,"cycle_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":[277,605,933,1261,1589,1917],"clock_positions":[277,605,933,1261,1589,1917],"native_values":[598,73,458,385,910,525],"rotation_degrees":50.670731707317074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[598,73,458,385,910,525],"beta":{"interval_sums":[158585,164475,168085,162856,156966,152373],"interval_residues":[322,314,975,661,669,8],"display_cycle":[322,314,975,661,669,8],"intervals":[{"from_index":277,"to_index":605,"sum":158585,"residue":322},{"from_index":605,"to_index":933,"sum":164475,"residue":314},{"from_index":933,"to_index":1261,"sum":168085,"residue":975},{"from_index":1261,"to_index":1589,"sum":162856,"residue":661},{"from_index":1589,"to_index":1917,"sum":156966,"residue":669},{"from_index":1917,"to_index":277,"sum":152373,"residue":8}],"minimal_cycle":[322,314,975,661,669,8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":322,"start_interval_clock_positions":[277,605],"circle_positions":983,"cycle_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":[278,606,934,1262,1590,1918],"clock_positions":[278,606,934,1262,1590,1918],"native_values":[596,533,920,387,450,63],"rotation_degrees":50.853658536585364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[596,533,920,387,450,63],"beta":{"interval_sums":[158062,164400,167550,163379,157041,152908],"interval_residues":[782,239,440,201,744,543],"display_cycle":[782,239,440,201,744,543],"intervals":[{"from_index":278,"to_index":606,"sum":158062,"residue":782},{"from_index":606,"to_index":934,"sum":164400,"residue":239},{"from_index":934,"to_index":1262,"sum":167550,"residue":440},{"from_index":1262,"to_index":1590,"sum":163379,"residue":201},{"from_index":1590,"to_index":1918,"sum":157041,"residue":744},{"from_index":1918,"to_index":278,"sum":152908,"residue":543}],"minimal_cycle":[782,239,440,201,744,543],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":782,"start_interval_clock_positions":[278,606],"circle_positions":983,"cycle_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":[279,607,935,1263,1591,1919],"clock_positions":[279,607,935,1263,1591,1919],"native_values":[211,606,395,772,377,588],"rotation_degrees":51.03658536585366,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,606,395,772,377,588],"beta":{"interval_sums":[158384,164714,167542,163057,156727,152916],"interval_residues":[121,553,432,862,430,551],"display_cycle":[121,553,432,862,430,551],"intervals":[{"from_index":279,"to_index":607,"sum":158384,"residue":121},{"from_index":607,"to_index":935,"sum":164714,"residue":553},{"from_index":935,"to_index":1263,"sum":167542,"residue":432},{"from_index":1263,"to_index":1591,"sum":163057,"residue":862},{"from_index":1591,"to_index":1919,"sum":156727,"residue":430},{"from_index":1919,"to_index":279,"sum":152916,"residue":551}],"minimal_cycle":[121,553,432,862,430,551],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":121,"start_interval_clock_positions":[279,607],"circle_positions":983,"cycle_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":[280,608,936,1264,1592,1920],"clock_positions":[280,608,936,1264,1592,1920],"native_values":[807,156,332,176,827,651],"rotation_degrees":51.21951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[807,156,332,176,827,651],"beta":{"interval_sums":[158183,164953,167982,163258,156488,152476],"interval_residues":[903,792,872,80,191,111],"display_cycle":[903,792,872,80,191,111],"intervals":[{"from_index":280,"to_index":608,"sum":158183,"residue":903},{"from_index":608,"to_index":936,"sum":164953,"residue":792},{"from_index":936,"to_index":1264,"sum":167982,"residue":872},{"from_index":1264,"to_index":1592,"sum":163258,"residue":80},{"from_index":1592,"to_index":1920,"sum":156488,"residue":191},{"from_index":1920,"to_index":280,"sum":152476,"residue":111}],"minimal_cycle":[903,792,872,80,191,111],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":903,"start_interval_clock_positions":[280,608],"circle_positions":983,"cycle_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":[281,609,937,1265,1593,1921],"clock_positions":[281,609,937,1265,1593,1921],"native_values":[35,762,727,948,221,256],"rotation_degrees":51.40243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[35,762,727,948,221,256],"beta":{"interval_sums":[158304,164523,167431,163137,156918,153027],"interval_residues":[41,362,321,942,621,662],"display_cycle":[41,362,321,942,621,662],"intervals":[{"from_index":281,"to_index":609,"sum":158304,"residue":41},{"from_index":609,"to_index":937,"sum":164523,"residue":362},{"from_index":937,"to_index":1265,"sum":167431,"residue":321},{"from_index":1265,"to_index":1593,"sum":163137,"residue":942},{"from_index":1593,"to_index":1921,"sum":156918,"residue":621},{"from_index":1921,"to_index":281,"sum":153027,"residue":662}],"minimal_cycle":[41,362,321,942,621,662],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":41,"start_interval_clock_positions":[281,609],"circle_positions":983,"cycle_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":[282,610,938,1266,1594,1922],"clock_positions":[282,610,938,1266,1594,1922],"native_values":[842,918,76,141,65,907],"rotation_degrees":51.58536585365854,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[842,918,76,141,65,907],"beta":{"interval_sums":[158224,164332,168303,163217,157109,152155],"interval_residues":[944,171,210,39,812,773],"display_cycle":[944,171,210,39,812,773],"intervals":[{"from_index":282,"to_index":610,"sum":158224,"residue":944},{"from_index":610,"to_index":938,"sum":164332,"residue":171},{"from_index":938,"to_index":1266,"sum":168303,"residue":210},{"from_index":1266,"to_index":1594,"sum":163217,"residue":39},{"from_index":1594,"to_index":1922,"sum":157109,"residue":812},{"from_index":1922,"to_index":282,"sum":152155,"residue":773}],"minimal_cycle":[944,171,210,39,812,773],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":944,"start_interval_clock_positions":[282,610],"circle_positions":983,"cycle_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":[283,611,939,1267,1595,1923],"clock_positions":[283,611,939,1267,1595,1923],"native_values":[877,697,803,106,286,180],"rotation_degrees":51.76829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[877,697,803,106,286,180],"beta":{"interval_sums":[158265,163711,167641,163176,157730,152817],"interval_residues":[2,533,531,981,450,452],"display_cycle":[2,533,531,981,450,452],"intervals":[{"from_index":283,"to_index":611,"sum":158265,"residue":2},{"from_index":611,"to_index":939,"sum":163711,"residue":533},{"from_index":939,"to_index":1267,"sum":167641,"residue":531},{"from_index":1267,"to_index":1595,"sum":163176,"residue":981},{"from_index":1595,"to_index":1923,"sum":157730,"residue":450},{"from_index":1923,"to_index":283,"sum":152817,"residue":452}],"minimal_cycle":[2,533,531,981,450,452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[283,611],"circle_positions":983,"cycle_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":[284,612,940,1268,1596,1924],"clock_positions":[284,612,940,1268,1596,1924],"native_values":[736,632,879,247,351,104],"rotation_degrees":51.951219512195124,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[736,632,879,247,351,104],"beta":{"interval_sums":[158226,163882,166868,163215,157559,153590],"interval_residues":[946,704,741,37,279,242],"display_cycle":[946,704,741,37,279,242],"intervals":[{"from_index":284,"to_index":612,"sum":158226,"residue":946},{"from_index":612,"to_index":940,"sum":163882,"residue":704},{"from_index":940,"to_index":1268,"sum":166868,"residue":741},{"from_index":1268,"to_index":1596,"sum":163215,"residue":37},{"from_index":1596,"to_index":1924,"sum":157559,"residue":279},{"from_index":1924,"to_index":284,"sum":153590,"residue":242}],"minimal_cycle":[946,704,741,37,279,242],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":946,"start_interval_clock_positions":[284,612],"circle_positions":983,"cycle_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":[285,613,941,1269,1597,1925],"clock_positions":[285,613,941,1269,1597,1925],"native_values":[630,346,699,353,637,284],"rotation_degrees":52.13414634146341,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[630,346,699,353,637,284],"beta":{"interval_sums":[158228,164415,166416,163213,157026,154042],"interval_residues":[948,254,289,35,729,694],"display_cycle":[948,254,289,35,729,694],"intervals":[{"from_index":285,"to_index":613,"sum":158228,"residue":948},{"from_index":613,"to_index":941,"sum":164415,"residue":254},{"from_index":941,"to_index":1269,"sum":166416,"residue":289},{"from_index":1269,"to_index":1597,"sum":163213,"residue":35},{"from_index":1597,"to_index":1925,"sum":157026,"residue":729},{"from_index":1925,"to_index":285,"sum":154042,"residue":694}],"minimal_cycle":[948,254,289,35,729,694],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":948,"start_interval_clock_positions":[285,613],"circle_positions":983,"cycle_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":[286,614,942,1270,1598,1926],"clock_positions":[286,614,942,1270,1598,1926],"native_values":[383,978,595,600,5,388],"rotation_degrees":52.31707317073171,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[383,978,595,600,5,388],"beta":{"interval_sums":[158191,164136,166174,163250,157305,154284],"interval_residues":[911,958,47,72,25,936],"display_cycle":[911,958,47,72,25,936],"intervals":[{"from_index":286,"to_index":614,"sum":158191,"residue":911},{"from_index":614,"to_index":942,"sum":164136,"residue":958},{"from_index":942,"to_index":1270,"sum":166174,"residue":47},{"from_index":1270,"to_index":1598,"sum":163250,"residue":72},{"from_index":1598,"to_index":1926,"sum":157305,"residue":25},{"from_index":1926,"to_index":286,"sum":154284,"residue":936}],"minimal_cycle":[911,958,47,72,25,936],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":911,"start_interval_clock_positions":[286,614],"circle_positions":983,"cycle_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":[287,615,943,1271,1599,1927],"clock_positions":[287,615,943,1271,1599,1927],"native_values":[30,341,311,953,642,672],"rotation_degrees":52.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[30,341,311,953,642,672],"beta":{"interval_sums":[159139,164390,166463,162302,157051,153995],"interval_residues":[876,229,336,107,754,647],"display_cycle":[876,229,336,107,754,647],"intervals":[{"from_index":287,"to_index":615,"sum":159139,"residue":876},{"from_index":615,"to_index":943,"sum":164390,"residue":229},{"from_index":943,"to_index":1271,"sum":166463,"residue":336},{"from_index":1271,"to_index":1599,"sum":162302,"residue":107},{"from_index":1599,"to_index":1927,"sum":157051,"residue":754},{"from_index":1927,"to_index":287,"sum":153995,"residue":647}],"minimal_cycle":[876,229,336,107,754,647],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":876,"start_interval_clock_positions":[287,615],"circle_positions":983,"cycle_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":[288,616,944,1272,1600,1928],"clock_positions":[288,616,944,1272,1600,1928],"native_values":[413,336,906,570,647,77],"rotation_degrees":52.68292682926829,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[413,336,906,570,647,77],"beta":{"interval_sums":[159067,164365,166510,162374,157076,153948],"interval_residues":[804,204,383,179,779,600],"display_cycle":[804,204,383,179,779,600],"intervals":[{"from_index":288,"to_index":616,"sum":159067,"residue":804},{"from_index":616,"to_index":944,"sum":164365,"residue":204},{"from_index":944,"to_index":1272,"sum":166510,"residue":383},{"from_index":1272,"to_index":1600,"sum":162374,"residue":179},{"from_index":1600,"to_index":1928,"sum":157076,"residue":779},{"from_index":1928,"to_index":288,"sum":153948,"residue":600}],"minimal_cycle":[804,204,383,179,779,600],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":804,"start_interval_clock_positions":[288,616],"circle_positions":983,"cycle_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":[289,617,945,1273,1601,1929],"clock_positions":[289,617,945,1273,1601,1929],"native_values":[443,677,234,540,306,749],"rotation_degrees":52.86585365853659,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,677,234,540,306,749],"beta":{"interval_sums":[158960,164594,166846,162481,156847,153612],"interval_residues":[697,433,719,286,550,264],"display_cycle":[697,433,719,286,550,264],"intervals":[{"from_index":289,"to_index":617,"sum":158960,"residue":697},{"from_index":617,"to_index":945,"sum":164594,"residue":433},{"from_index":945,"to_index":1273,"sum":166846,"residue":719},{"from_index":1273,"to_index":1601,"sum":162481,"residue":286},{"from_index":1601,"to_index":1929,"sum":156847,"residue":550},{"from_index":1929,"to_index":289,"sum":153612,"residue":264}],"minimal_cycle":[697,433,719,286,550,264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":697,"start_interval_clock_positions":[289,617],"circle_positions":983,"cycle_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":[290,618,946,1274,1602,1930],"clock_positions":[290,618,946,1274,1602,1930],"native_values":[856,30,157,127,953,826],"rotation_degrees":53.048780487804876,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[856,30,157,127,953,826],"beta":{"interval_sums":[158781,164798,167229,162660,156643,153229],"interval_residues":[518,637,119,465,346,864],"display_cycle":[518,637,119,465,346,864],"intervals":[{"from_index":290,"to_index":618,"sum":158781,"residue":518},{"from_index":618,"to_index":946,"sum":164798,"residue":637},{"from_index":946,"to_index":1274,"sum":167229,"residue":119},{"from_index":1274,"to_index":1602,"sum":162660,"residue":465},{"from_index":1602,"to_index":1930,"sum":156643,"residue":346},{"from_index":1930,"to_index":290,"sum":153229,"residue":864}],"minimal_cycle":[518,637,119,465,346,864],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[290,618],"circle_positions":983,"cycle_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":[291,619,947,1275,1603,1931],"clock_positions":[291,619,947,1275,1603,1931],"native_values":[316,707,391,667,276,592],"rotation_degrees":53.23170731707317,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[316,707,391,667,276,592],"beta":{"interval_sums":[158495,164248,166965,162946,157193,153493],"interval_residues":[232,87,838,751,896,145],"display_cycle":[232,87,838,751,896,145],"intervals":[{"from_index":291,"to_index":619,"sum":158495,"residue":232},{"from_index":619,"to_index":947,"sum":164248,"residue":87},{"from_index":947,"to_index":1275,"sum":166965,"residue":838},{"from_index":1275,"to_index":1603,"sum":162946,"residue":751},{"from_index":1603,"to_index":1931,"sum":157193,"residue":896},{"from_index":1931,"to_index":291,"sum":153493,"residue":145}],"minimal_cycle":[232,87,838,751,896,145],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[291,619],"circle_positions":983,"cycle_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":[292,620,948,1276,1604,1932],"clock_positions":[292,620,948,1276,1604,1932],"native_values":[189,737,548,794,246,435],"rotation_degrees":53.41463414634146,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[189,737,548,794,246,435],"beta":{"interval_sums":[159013,163902,167084,162428,157539,153374],"interval_residues":[750,724,957,233,259,26],"display_cycle":[750,724,957,233,259,26],"intervals":[{"from_index":292,"to_index":620,"sum":159013,"residue":750},{"from_index":620,"to_index":948,"sum":163902,"residue":724},{"from_index":948,"to_index":1276,"sum":167084,"residue":957},{"from_index":1276,"to_index":1604,"sum":162428,"residue":233},{"from_index":1604,"to_index":1932,"sum":157539,"residue":259},{"from_index":1932,"to_index":292,"sum":153374,"residue":26}],"minimal_cycle":[750,724,957,233,259,26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":750,"start_interval_clock_positions":[292,620],"circle_positions":983,"cycle_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":[293,621,949,1277,1605,1933],"clock_positions":[293,621,949,1277,1605,1933],"native_values":[505,461,939,478,522,44],"rotation_degrees":53.59756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[505,461,939,478,522,44],"beta":{"interval_sums":[159245,163989,166939,162196,157452,153519],"interval_residues":[982,811,812,1,172,171],"display_cycle":[982,811,812,1,172,171],"intervals":[{"from_index":293,"to_index":621,"sum":159245,"residue":982},{"from_index":621,"to_index":949,"sum":163989,"residue":811},{"from_index":949,"to_index":1277,"sum":166939,"residue":812},{"from_index":1277,"to_index":1605,"sum":162196,"residue":1},{"from_index":1605,"to_index":1933,"sum":157452,"residue":172},{"from_index":1933,"to_index":293,"sum":153519,"residue":171}],"minimal_cycle":[982,811,812,1,172,171],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":982,"start_interval_clock_positions":[293,621],"circle_positions":983,"cycle_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":[294,622,950,1278,1606,1934],"clock_positions":[294,622,950,1278,1606,1934],"native_values":[694,215,504,289,768,479],"rotation_degrees":53.78048780487805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[694,215,504,289,768,479],"beta":{"interval_sums":[159012,164713,166913,162429,156728,153545],"interval_residues":[749,552,786,234,431,197],"display_cycle":[749,552,786,234,431,197],"intervals":[{"from_index":294,"to_index":622,"sum":159012,"residue":749},{"from_index":622,"to_index":950,"sum":164713,"residue":552},{"from_index":950,"to_index":1278,"sum":166913,"residue":786},{"from_index":1278,"to_index":1606,"sum":162429,"residue":234},{"from_index":1606,"to_index":1934,"sum":156728,"residue":431},{"from_index":1934,"to_index":294,"sum":153545,"residue":197}],"minimal_cycle":[749,552,786,234,431,197],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":749,"start_interval_clock_positions":[294,622],"circle_positions":983,"cycle_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":[295,623,951,1279,1607,1935],"clock_positions":[295,623,951,1279,1607,1935],"native_values":[216,676,460,767,307,523],"rotation_degrees":53.96341463414634,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[216,676,460,767,307,523],"beta":{"interval_sums":[159011,164541,166742,162430,156900,153716],"interval_residues":[748,380,615,235,603,368],"display_cycle":[748,380,615,235,603,368],"intervals":[{"from_index":295,"to_index":623,"sum":159011,"residue":748},{"from_index":623,"to_index":951,"sum":164541,"residue":380},{"from_index":951,"to_index":1279,"sum":166742,"residue":615},{"from_index":1279,"to_index":1607,"sum":162430,"residue":235},{"from_index":1607,"to_index":1935,"sum":156900,"residue":603},{"from_index":1935,"to_index":295,"sum":153716,"residue":368}],"minimal_cycle":[748,380,615,235,603,368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":748,"start_interval_clock_positions":[295,623],"circle_positions":983,"cycle_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":[296,624,952,1280,1608,1936],"clock_positions":[296,624,952,1280,1608,1936],"native_values":[910,891,964,73,92,19],"rotation_degrees":54.146341463414636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[910,891,964,73,92,19],"beta":{"interval_sums":[158777,164110,166545,162664,157331,153913],"interval_residues":[514,932,418,469,51,565],"display_cycle":[514,932,418,469,51,565],"intervals":[{"from_index":296,"to_index":624,"sum":158777,"residue":514},{"from_index":624,"to_index":952,"sum":164110,"residue":932},{"from_index":952,"to_index":1280,"sum":166545,"residue":418},{"from_index":1280,"to_index":1608,"sum":162664,"residue":469},{"from_index":1608,"to_index":1936,"sum":157331,"residue":51},{"from_index":1936,"to_index":296,"sum":153913,"residue":565}],"minimal_cycle":[514,932,418,469,51,565],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":514,"start_interval_clock_positions":[296,624],"circle_positions":983,"cycle_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":[297,625,953,1281,1609,1937],"clock_positions":[297,625,953,1281,1609,1937],"native_values":[143,584,441,840,399,542],"rotation_degrees":54.329268292682926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[143,584,441,840,399,542],"beta":{"interval_sums":[159525,164490,166177,161916,156951,154281],"interval_residues":[279,329,50,704,654,933],"display_cycle":[279,329,50,704,654,933],"intervals":[{"from_index":297,"to_index":625,"sum":159525,"residue":279},{"from_index":625,"to_index":953,"sum":164490,"residue":329},{"from_index":953,"to_index":1281,"sum":166177,"residue":50},{"from_index":1281,"to_index":1609,"sum":161916,"residue":704},{"from_index":1609,"to_index":1937,"sum":156951,"residue":654},{"from_index":1937,"to_index":297,"sum":154281,"residue":933}],"minimal_cycle":[279,329,50,704,654,933],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":279,"start_interval_clock_positions":[297,625],"circle_positions":983,"cycle_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":[298,626,954,1282,1610,1938],"clock_positions":[298,626,954,1282,1610,1938],"native_values":[70,492,422,913,491,561],"rotation_degrees":54.51219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[70,492,422,913,491,561],"beta":{"interval_sums":[160039,164439,166595,161402,157002,153863],"interval_residues":[793,278,468,190,705,515],"display_cycle":[793,278,468,190,705,515],"intervals":[{"from_index":298,"to_index":626,"sum":160039,"residue":793},{"from_index":626,"to_index":954,"sum":164439,"residue":278},{"from_index":954,"to_index":1282,"sum":166595,"residue":468},{"from_index":1282,"to_index":1610,"sum":161402,"residue":190},{"from_index":1610,"to_index":1938,"sum":157002,"residue":705},{"from_index":1938,"to_index":298,"sum":153863,"residue":515}],"minimal_cycle":[793,278,468,190,705,515],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":793,"start_interval_clock_positions":[298,626],"circle_positions":983,"cycle_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":[299,627,955,1283,1611,1939],"clock_positions":[299,627,955,1283,1611,1939],"native_values":[213,93,863,770,890,120],"rotation_degrees":54.69512195121951,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,93,863,770,890,120],"beta":{"interval_sums":[160318,164768,166645,161123,156673,153813],"interval_residues":[89,607,518,894,376,465],"display_cycle":[89,607,518,894,376,465],"intervals":[{"from_index":299,"to_index":627,"sum":160318,"residue":89},{"from_index":627,"to_index":955,"sum":164768,"residue":607},{"from_index":955,"to_index":1283,"sum":166645,"residue":518},{"from_index":1283,"to_index":1611,"sum":161123,"residue":894},{"from_index":1611,"to_index":1939,"sum":156673,"residue":376},{"from_index":1939,"to_index":299,"sum":153813,"residue":465}],"minimal_cycle":[89,607,518,894,376,465],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[299,627],"circle_positions":983,"cycle_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":[300,628,956,1284,1612,1940],"clock_positions":[300,628,956,1284,1612,1940],"native_values":[283,585,302,700,398,681],"rotation_degrees":54.8780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,585,302,700,398,681],"beta":{"interval_sums":[160128,165046,167113,161313,156395,153345],"interval_residues":[882,885,3,101,98,980],"display_cycle":[882,885,3,101,98,980],"intervals":[{"from_index":300,"to_index":628,"sum":160128,"residue":882},{"from_index":628,"to_index":956,"sum":165046,"residue":885},{"from_index":956,"to_index":1284,"sum":167113,"residue":3},{"from_index":1284,"to_index":1612,"sum":161313,"residue":101},{"from_index":1612,"to_index":1940,"sum":156395,"residue":98},{"from_index":1940,"to_index":300,"sum":153345,"residue":980}],"minimal_cycle":[882,885,3,101,98,980],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":882,"start_interval_clock_positions":[300,628],"circle_positions":983,"cycle_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":[301,629,957,1285,1613,1941],"clock_positions":[301,629,957,1285,1613,1941],"native_values":[496,678,182,487,305,801],"rotation_degrees":55.0609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[496,678,182,487,305,801],"beta":{"interval_sums":[160217,164670,167631,161224,156771,152827],"interval_residues":[971,509,521,12,474,462],"display_cycle":[971,509,521,12,474,462],"intervals":[{"from_index":301,"to_index":629,"sum":160217,"residue":971},{"from_index":629,"to_index":957,"sum":164670,"residue":509},{"from_index":957,"to_index":1285,"sum":167631,"residue":521},{"from_index":1285,"to_index":1613,"sum":161224,"residue":12},{"from_index":1613,"to_index":1941,"sum":156771,"residue":474},{"from_index":1941,"to_index":301,"sum":152827,"residue":462}],"minimal_cycle":[971,509,521,12,474,462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":971,"start_interval_clock_positions":[301,629],"circle_positions":983,"cycle_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":[302,630,958,1286,1614,1942],"clock_positions":[302,630,958,1286,1614,1942],"native_values":[779,280,484,204,703,499],"rotation_degrees":55.24390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[779,280,484,204,703,499],"beta":{"interval_sums":[160116,164572,167634,161325,156869,152824],"interval_residues":[870,411,524,113,572,459],"display_cycle":[870,411,524,113,572,459],"intervals":[{"from_index":302,"to_index":630,"sum":160116,"residue":870},{"from_index":630,"to_index":958,"sum":164572,"residue":411},{"from_index":958,"to_index":1286,"sum":167634,"residue":524},{"from_index":1286,"to_index":1614,"sum":161325,"residue":113},{"from_index":1614,"to_index":1942,"sum":156869,"residue":572},{"from_index":1942,"to_index":302,"sum":152824,"residue":459}],"minimal_cycle":[870,411,524,113,572,459],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":870,"start_interval_clock_positions":[302,630],"circle_positions":983,"cycle_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":[303,631,959,1287,1615,1943],"clock_positions":[303,631,959,1287,1615,1943],"native_values":[292,958,666,691,25,317],"rotation_degrees":55.426829268292686,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,958,666,691,25,317],"beta":{"interval_sums":[160104,164098,167172,161337,157343,153286],"interval_residues":[858,920,62,125,63,921],"display_cycle":[858,920,62,125,63,921],"intervals":[{"from_index":303,"to_index":631,"sum":160104,"residue":858},{"from_index":631,"to_index":959,"sum":164098,"residue":920},{"from_index":959,"to_index":1287,"sum":167172,"residue":62},{"from_index":1287,"to_index":1615,"sum":161337,"residue":125},{"from_index":1615,"to_index":1943,"sum":157343,"residue":63},{"from_index":1943,"to_index":303,"sum":153286,"residue":921}],"minimal_cycle":[858,920,62,125,63,921],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":858,"start_interval_clock_positions":[303,631],"circle_positions":983,"cycle_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":[304,632,960,1288,1616,1944],"clock_positions":[304,632,960,1288,1616,1944],"native_values":[88,255,167,895,728,816],"rotation_degrees":55.609756097560975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[88,255,167,895,728,816],"beta":{"interval_sums":[160974,164509,167696,160467,156932,152762],"interval_residues":[745,348,586,238,635,397],"display_cycle":[745,348,586,238,635,397],"intervals":[{"from_index":304,"to_index":632,"sum":160974,"residue":745},{"from_index":632,"to_index":960,"sum":164509,"residue":348},{"from_index":960,"to_index":1288,"sum":167696,"residue":586},{"from_index":1288,"to_index":1616,"sum":160467,"residue":238},{"from_index":1616,"to_index":1944,"sum":156932,"residue":635},{"from_index":1944,"to_index":304,"sum":152762,"residue":397}],"minimal_cycle":[745,348,586,238,635,397],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":745,"start_interval_clock_positions":[304,632],"circle_positions":983,"cycle_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":[305,633,961,1289,1617,1945],"clock_positions":[305,633,961,1289,1617,1945],"native_values":[380,230,833,603,753,150],"rotation_degrees":55.792682926829265,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[380,230,833,603,753,150],"beta":{"interval_sums":[160849,164446,167758,160592,156995,152700],"interval_residues":[620,285,648,363,698,335],"display_cycle":[620,285,648,363,698,335],"intervals":[{"from_index":305,"to_index":633,"sum":160849,"residue":620},{"from_index":633,"to_index":961,"sum":164446,"residue":285},{"from_index":961,"to_index":1289,"sum":167758,"residue":648},{"from_index":1289,"to_index":1617,"sum":160592,"residue":363},{"from_index":1617,"to_index":1945,"sum":156995,"residue":698},{"from_index":1945,"to_index":305,"sum":152700,"residue":335}],"minimal_cycle":[620,285,648,363,698,335],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":620,"start_interval_clock_positions":[305,633],"circle_positions":983,"cycle_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":[306,634,962,1290,1618,1946],"clock_positions":[306,634,962,1290,1618,1946],"native_values":[468,485,17,515,498,966],"rotation_degrees":55.97560975609756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[468,485,17,515,498,966],"beta":{"interval_sums":[160611,164794,168344,160830,156647,152114],"interval_residues":[382,633,251,601,350,732],"display_cycle":[382,633,251,601,350,732],"intervals":[{"from_index":306,"to_index":634,"sum":160611,"residue":382},{"from_index":634,"to_index":962,"sum":164794,"residue":633},{"from_index":962,"to_index":1290,"sum":168344,"residue":251},{"from_index":1290,"to_index":1618,"sum":160830,"residue":601},{"from_index":1618,"to_index":1946,"sum":156647,"residue":350},{"from_index":1946,"to_index":306,"sum":152114,"residue":732}],"minimal_cycle":[382,633,251,601,350,732],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[306,634],"circle_positions":983,"cycle_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":[307,635,963,1291,1619,1947],"clock_positions":[307,635,963,1291,1619,1947],"native_values":[848,715,850,135,268,133],"rotation_degrees":56.15853658536585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[848,715,850,135,268,133],"beta":{"interval_sums":[160248,164096,168009,161193,157345,152449],"interval_residues":[19,918,899,964,65,84],"display_cycle":[19,918,899,964,65,84],"intervals":[{"from_index":307,"to_index":635,"sum":160248,"residue":19},{"from_index":635,"to_index":963,"sum":164096,"residue":918},{"from_index":963,"to_index":1291,"sum":168009,"residue":899},{"from_index":1291,"to_index":1619,"sum":161193,"residue":964},{"from_index":1619,"to_index":1947,"sum":157345,"residue":65},{"from_index":1947,"to_index":307,"sum":152449,"residue":84}],"minimal_cycle":[19,918,899,964,65,84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":19,"start_interval_clock_positions":[307,635],"circle_positions":983,"cycle_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":[308,636,964,1292,1620,1948],"clock_positions":[308,636,964,1292,1620,1948],"native_values":[333,217,867,650,766,116],"rotation_degrees":56.34146341463415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,217,867,650,766,116],"beta":{"interval_sums":[160630,164729,167277,160811,156712,153181],"interval_residues":[401,568,167,582,415,816],"display_cycle":[401,568,167,582,415,816],"intervals":[{"from_index":308,"to_index":636,"sum":160630,"residue":401},{"from_index":636,"to_index":964,"sum":164729,"residue":568},{"from_index":964,"to_index":1292,"sum":167277,"residue":167},{"from_index":1292,"to_index":1620,"sum":160811,"residue":582},{"from_index":1620,"to_index":1948,"sum":156712,"residue":415},{"from_index":1948,"to_index":308,"sum":153181,"residue":816}],"minimal_cycle":[401,568,167,582,415,816],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":401,"start_interval_clock_positions":[308,636],"circle_positions":983,"cycle_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":[309,637,965,1293,1621,1949],"clock_positions":[309,637,965,1293,1621,1949],"native_values":[198,932,734,785,51,249],"rotation_degrees":56.52439024390244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[198,932,734,785,51,249],"beta":{"interval_sums":[160649,164664,167193,160792,156777,153265],"interval_residues":[420,503,83,563,480,900],"display_cycle":[420,503,83,563,480,900],"intervals":[{"from_index":309,"to_index":637,"sum":160649,"residue":420},{"from_index":637,"to_index":965,"sum":164664,"residue":503},{"from_index":965,"to_index":1293,"sum":167193,"residue":83},{"from_index":1293,"to_index":1621,"sum":160792,"residue":563},{"from_index":1621,"to_index":1949,"sum":156777,"residue":480},{"from_index":1949,"to_index":309,"sum":153265,"residue":900}],"minimal_cycle":[420,503,83,563,480,900],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":420,"start_interval_clock_positions":[309,637],"circle_positions":983,"cycle_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":[310,638,966,1294,1622,1950],"clock_positions":[310,638,966,1294,1622,1950],"native_values":[531,166,618,452,817,365],"rotation_degrees":56.707317073170735,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[531,166,618,452,817,365],"beta":{"interval_sums":[161050,165232,167360,160391,156209,153098],"interval_residues":[821,88,250,162,895,733],"display_cycle":[821,88,250,162,895,733],"intervals":[{"from_index":310,"to_index":638,"sum":161050,"residue":821},{"from_index":638,"to_index":966,"sum":165232,"residue":88},{"from_index":966,"to_index":1294,"sum":167360,"residue":250},{"from_index":1294,"to_index":1622,"sum":160391,"residue":162},{"from_index":1622,"to_index":1950,"sum":156209,"residue":895},{"from_index":1950,"to_index":310,"sum":153098,"residue":733}],"minimal_cycle":[821,88,250,162,895,733],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":821,"start_interval_clock_positions":[310,638],"circle_positions":983,"cycle_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":[311,639,967,1295,1623,1951],"clock_positions":[311,639,967,1295,1623,1951],"native_values":[729,115,369,254,868,614],"rotation_degrees":56.890243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[729,115,369,254,868,614],"beta":{"interval_sums":[160487,165735,167443,160954,155706,153015],"interval_residues":[258,591,333,725,392,650],"display_cycle":[258,591,333,725,392,650],"intervals":[{"from_index":311,"to_index":639,"sum":160487,"residue":258},{"from_index":639,"to_index":967,"sum":165735,"residue":591},{"from_index":967,"to_index":1295,"sum":167443,"residue":333},{"from_index":1295,"to_index":1623,"sum":160954,"residue":725},{"from_index":1623,"to_index":1951,"sum":155706,"residue":392},{"from_index":1951,"to_index":311,"sum":153015,"residue":650}],"minimal_cycle":[258,591,333,725,392,650],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[311,639],"circle_positions":983,"cycle_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":[312,640,968,1296,1624,1952],"clock_positions":[312,640,968,1296,1624,1952],"native_values":[277,281,4,706,702,979],"rotation_degrees":57.073170731707314,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,281,4,706,702,979],"beta":{"interval_sums":[160325,165823,167693,161116,155618,152765],"interval_residues":[96,679,583,887,304,400],"display_cycle":[96,679,583,887,304,400],"intervals":[{"from_index":312,"to_index":640,"sum":160325,"residue":96},{"from_index":640,"to_index":968,"sum":165823,"residue":679},{"from_index":968,"to_index":1296,"sum":167693,"residue":583},{"from_index":1296,"to_index":1624,"sum":161116,"residue":887},{"from_index":1624,"to_index":1952,"sum":155618,"residue":304},{"from_index":1952,"to_index":312,"sum":152765,"residue":400}],"minimal_cycle":[96,679,583,887,304,400],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[312,640],"circle_positions":983,"cycle_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":[313,641,969,1297,1625,1953],"clock_positions":[313,641,969,1297,1625,1953],"native_values":[23,396,373,960,587,610],"rotation_degrees":57.25609756097561,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[23,396,373,960,587,610],"beta":{"interval_sums":[160583,165431,168026,160858,156010,152432],"interval_residues":[354,287,916,629,696,67],"display_cycle":[354,287,916,629,696,67],"intervals":[{"from_index":313,"to_index":641,"sum":160583,"residue":354},{"from_index":641,"to_index":969,"sum":165431,"residue":287},{"from_index":969,"to_index":1297,"sum":168026,"residue":916},{"from_index":1297,"to_index":1625,"sum":160858,"residue":629},{"from_index":1625,"to_index":1953,"sum":156010,"residue":696},{"from_index":1953,"to_index":313,"sum":152432,"residue":67}],"minimal_cycle":[354,287,916,629,696,67],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":354,"start_interval_clock_positions":[313,641],"circle_positions":983,"cycle_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":[314,642,970,1298,1626,1954],"clock_positions":[314,642,970,1298,1626,1954],"native_values":[300,677,377,683,306,606],"rotation_degrees":57.4390243902439,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,677,377,683,306,606],"beta":{"interval_sums":[160679,165127,168609,160762,156314,151849],"interval_residues":[450,966,516,533,17,467],"display_cycle":[450,966,516,533,17,467],"intervals":[{"from_index":314,"to_index":642,"sum":160679,"residue":450},{"from_index":642,"to_index":970,"sum":165127,"residue":966},{"from_index":970,"to_index":1298,"sum":168609,"residue":516},{"from_index":1298,"to_index":1626,"sum":160762,"residue":533},{"from_index":1626,"to_index":1954,"sum":156314,"residue":17},{"from_index":1954,"to_index":314,"sum":151849,"residue":467}],"minimal_cycle":[450,966,516,533,17,467],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":450,"start_interval_clock_positions":[314,642],"circle_positions":983,"cycle_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":[315,643,971,1299,1627,1955],"clock_positions":[315,643,971,1299,1627,1955],"native_values":[323,90,750,660,893,233],"rotation_degrees":57.6219512195122,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,90,750,660,893,233],"beta":{"interval_sums":[161033,165414,168542,160408,156027,151916],"interval_residues":[804,270,449,179,713,534],"display_cycle":[804,270,449,179,713,534],"intervals":[{"from_index":315,"to_index":643,"sum":161033,"residue":804},{"from_index":643,"to_index":971,"sum":165414,"residue":270},{"from_index":971,"to_index":1299,"sum":168542,"residue":449},{"from_index":1299,"to_index":1627,"sum":160408,"residue":179},{"from_index":1627,"to_index":1955,"sum":156027,"residue":713},{"from_index":1955,"to_index":315,"sum":151916,"residue":534}],"minimal_cycle":[804,270,449,179,713,534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":804,"start_interval_clock_positions":[315,643],"circle_positions":983,"cycle_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":[316,644,972,1300,1628,1956],"clock_positions":[316,644,972,1300,1628,1956],"native_values":[623,767,144,360,216,839],"rotation_degrees":57.80487804878049,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[623,767,144,360,216,839],"beta":{"interval_sums":[160500,165397,169058,160941,156044,151400],"interval_residues":[271,253,965,712,730,18],"display_cycle":[271,253,965,712,730,18],"intervals":[{"from_index":316,"to_index":644,"sum":160500,"residue":271},{"from_index":644,"to_index":972,"sum":165397,"residue":253},{"from_index":972,"to_index":1300,"sum":169058,"residue":965},{"from_index":1300,"to_index":1628,"sum":160941,"residue":712},{"from_index":1628,"to_index":1956,"sum":156044,"residue":730},{"from_index":1956,"to_index":316,"sum":151400,"residue":18}],"minimal_cycle":[271,253,965,712,730,18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":271,"start_interval_clock_positions":[316,644],"circle_positions":983,"cycle_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":[317,645,973,1301,1629,1957],"clock_positions":[317,645,973,1301,1629,1957],"native_values":[946,857,894,37,126,89],"rotation_degrees":57.98780487804878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[946,857,894,37,126,89],"beta":{"interval_sums":[160321,164684,168524,161120,156757,151934],"interval_residues":[92,523,431,891,460,552],"display_cycle":[92,523,431,891,460,552],"intervals":[{"from_index":317,"to_index":645,"sum":160321,"residue":92},{"from_index":645,"to_index":973,"sum":164684,"residue":523},{"from_index":973,"to_index":1301,"sum":168524,"residue":431},{"from_index":1301,"to_index":1629,"sum":161120,"residue":891},{"from_index":1629,"to_index":1957,"sum":156757,"residue":460},{"from_index":1957,"to_index":317,"sum":151934,"residue":552}],"minimal_cycle":[92,523,431,891,460,552],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[317,645],"circle_positions":983,"cycle_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":[318,646,974,1302,1630,1958],"clock_positions":[318,646,974,1302,1630,1958],"native_values":[586,641,55,397,342,928],"rotation_degrees":58.170731707317074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[586,641,55,397,342,928],"beta":{"interval_sums":[160592,164937,168506,160849,156504,151952],"interval_residues":[363,776,413,620,207,570],"display_cycle":[363,776,413,620,207,570],"intervals":[{"from_index":318,"to_index":646,"sum":160592,"residue":363},{"from_index":646,"to_index":974,"sum":164937,"residue":776},{"from_index":974,"to_index":1302,"sum":168506,"residue":413},{"from_index":1302,"to_index":1630,"sum":160849,"residue":620},{"from_index":1630,"to_index":1958,"sum":156504,"residue":207},{"from_index":1958,"to_index":318,"sum":151952,"residue":570}],"minimal_cycle":[363,776,413,620,207,570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":363,"start_interval_clock_positions":[318,646],"circle_positions":983,"cycle_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":[319,647,975,1303,1631,1959],"clock_positions":[319,647,975,1303,1631,1959],"native_values":[549,515,949,434,468,34],"rotation_degrees":58.353658536585364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[549,515,949,434,468,34],"beta":{"interval_sums":[160684,164477,167954,160757,156964,152504],"interval_residues":[455,316,844,528,667,139],"display_cycle":[455,316,844,528,667,139],"intervals":[{"from_index":319,"to_index":647,"sum":160684,"residue":455},{"from_index":647,"to_index":975,"sum":164477,"residue":316},{"from_index":975,"to_index":1303,"sum":167954,"residue":844},{"from_index":1303,"to_index":1631,"sum":160757,"residue":528},{"from_index":1631,"to_index":1959,"sum":156964,"residue":667},{"from_index":1959,"to_index":319,"sum":152504,"residue":139}],"minimal_cycle":[455,316,844,528,667,139],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":455,"start_interval_clock_positions":[319,647],"circle_positions":983,"cycle_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":[320,648,976,1304,1632,1960],"clock_positions":[320,648,976,1304,1632,1960],"native_values":[152,173,21,831,810,962],"rotation_degrees":58.53658536585366,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[152,173,21,831,810,962],"beta":{"interval_sums":[161047,165253,168367,160394,156188,152091],"interval_residues":[818,109,274,165,874,709],"display_cycle":[818,109,274,165,874,709],"intervals":[{"from_index":320,"to_index":648,"sum":161047,"residue":818},{"from_index":648,"to_index":976,"sum":165253,"residue":109},{"from_index":976,"to_index":1304,"sum":168367,"residue":274},{"from_index":1304,"to_index":1632,"sum":160394,"residue":165},{"from_index":1632,"to_index":1960,"sum":156188,"residue":874},{"from_index":1960,"to_index":320,"sum":152091,"residue":709}],"minimal_cycle":[818,109,274,165,874,709],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":818,"start_interval_clock_positions":[320,648],"circle_positions":983,"cycle_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":[321,649,977,1305,1633,1961],"clock_positions":[321,649,977,1305,1633,1961],"native_values":[701,688,970,282,295,13],"rotation_degrees":58.71951219512195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[701,688,970,282,295,13],"beta":{"interval_sums":[160519,164586,168228,160922,156855,152230],"interval_residues":[290,425,135,693,558,848],"display_cycle":[290,425,135,693,558,848],"intervals":[{"from_index":321,"to_index":649,"sum":160519,"residue":290},{"from_index":649,"to_index":977,"sum":164586,"residue":425},{"from_index":977,"to_index":1305,"sum":168228,"residue":135},{"from_index":1305,"to_index":1633,"sum":160922,"residue":693},{"from_index":1633,"to_index":1961,"sum":156855,"residue":558},{"from_index":1961,"to_index":321,"sum":152230,"residue":848}],"minimal_cycle":[290,425,135,693,558,848],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[321,649],"circle_positions":983,"cycle_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":[322,650,978,1306,1634,1962],"clock_positions":[322,650,978,1306,1634,1962],"native_values":[853,861,8,130,122,975],"rotation_degrees":58.90243902439025,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[853,861,8,130,122,975],"beta":{"interval_sums":[160354,164695,168502,161087,156746,151956],"interval_residues":[125,534,409,858,449,574],"display_cycle":[125,534,409,858,449,574],"intervals":[{"from_index":322,"to_index":650,"sum":160354,"residue":125},{"from_index":650,"to_index":978,"sum":164695,"residue":534},{"from_index":978,"to_index":1306,"sum":168502,"residue":409},{"from_index":1306,"to_index":1634,"sum":161087,"residue":858},{"from_index":1634,"to_index":1962,"sum":156746,"residue":449},{"from_index":1962,"to_index":322,"sum":151956,"residue":574}],"minimal_cycle":[125,534,409,858,449,574],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":125,"start_interval_clock_positions":[322,650],"circle_positions":983,"cycle_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":[323,651,979,1307,1635,1963],"clock_positions":[323,651,979,1307,1635,1963],"native_values":[571,566,978,412,417,5],"rotation_degrees":59.08536585365854,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[571,566,978,412,417,5],"beta":{"interval_sums":[160644,164137,167654,160797,157304,152804],"interval_residues":[415,959,544,568,24,439],"display_cycle":[415,959,544,568,24,439],"intervals":[{"from_index":323,"to_index":651,"sum":160644,"residue":415},{"from_index":651,"to_index":979,"sum":164137,"residue":959},{"from_index":979,"to_index":1307,"sum":167654,"residue":544},{"from_index":1307,"to_index":1635,"sum":160797,"residue":568},{"from_index":1635,"to_index":1963,"sum":157304,"residue":24},{"from_index":1963,"to_index":323,"sum":152804,"residue":439}],"minimal_cycle":[415,959,544,568,24,439],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":415,"start_interval_clock_positions":[323,651],"circle_positions":983,"cycle_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":[324,652,980,1308,1636,1964],"clock_positions":[324,652,980,1308,1636,1964],"native_values":[441,444,3,542,539,980],"rotation_degrees":59.26829268292683,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,444,3,542,539,980],"beta":{"interval_sums":[160769,164671,168063,160672,156770,152395],"interval_residues":[540,510,953,443,473,30],"display_cycle":[540,510,953,443,473,30],"intervals":[{"from_index":324,"to_index":652,"sum":160769,"residue":540},{"from_index":652,"to_index":980,"sum":164671,"residue":510},{"from_index":980,"to_index":1308,"sum":168063,"residue":953},{"from_index":1308,"to_index":1636,"sum":160672,"residue":443},{"from_index":1636,"to_index":1964,"sum":156770,"residue":473},{"from_index":1964,"to_index":324,"sum":152395,"residue":30}],"minimal_cycle":[540,510,953,443,473,30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":540,"start_interval_clock_positions":[324,652],"circle_positions":983,"cycle_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":[325,653,981,1309,1637,1965],"clock_positions":[325,653,981,1309,1637,1965],"native_values":[29,27,981,954,956,2],"rotation_degrees":59.451219512195124,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,27,981,954,956,2],"beta":{"interval_sums":[161184,164647,167624,160257,156794,152834],"interval_residues":[955,486,514,28,497,469],"display_cycle":[955,486,514,28,497,469],"intervals":[{"from_index":325,"to_index":653,"sum":161184,"residue":955},{"from_index":653,"to_index":981,"sum":164647,"residue":486},{"from_index":981,"to_index":1309,"sum":167624,"residue":514},{"from_index":1309,"to_index":1637,"sum":160257,"residue":28},{"from_index":1637,"to_index":1965,"sum":156794,"residue":497},{"from_index":1965,"to_index":325,"sum":152834,"residue":469}],"minimal_cycle":[955,486,514,28,497,469],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":955,"start_interval_clock_positions":[325,653],"circle_positions":983,"cycle_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":[326,654,982,1310,1638,1966],"clock_positions":[326,654,982,1310,1638,1966],"native_values":[470,471,1,513,512,982],"rotation_degrees":59.63414634146341,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[470,471,1,513,512,982],"beta":{"interval_sums":[160741,165157,168577,160700,156284,151881],"interval_residues":[512,13,484,471,970,499],"display_cycle":[512,13,484,471,970,499],"intervals":[{"from_index":326,"to_index":654,"sum":160741,"residue":512},{"from_index":654,"to_index":982,"sum":165157,"residue":13},{"from_index":982,"to_index":1310,"sum":168577,"residue":484},{"from_index":1310,"to_index":1638,"sum":160700,"residue":471},{"from_index":1638,"to_index":1966,"sum":156284,"residue":970},{"from_index":1966,"to_index":326,"sum":151881,"residue":499}],"minimal_cycle":[512,13,484,471,970,499],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":512,"start_interval_clock_positions":[326,654],"circle_positions":983,"cycle_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":[327,655,983,1311,1639,1967],"clock_positions":[327,655,983,1311,1639,1967],"native_values":[499,498,982,484,485,1],"rotation_degrees":59.81707317073171,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[499,498,982,484,485,1],"beta":{"interval_sums":[160713,164660,168108,160728,156781,152350],"interval_residues":[484,499,15,499,484,968],"display_cycle":[484,499,15,499,484,968],"intervals":[{"from_index":327,"to_index":655,"sum":160713,"residue":484},{"from_index":655,"to_index":983,"sum":164660,"residue":499},{"from_index":983,"to_index":1311,"sum":168108,"residue":15},{"from_index":1311,"to_index":1639,"sum":160728,"residue":499},{"from_index":1639,"to_index":1967,"sum":156781,"residue":484},{"from_index":1967,"to_index":327,"sum":152350,"residue":968}],"minimal_cycle":[484,499,15,499,484,968],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":484,"start_interval_clock_positions":[327,655],"circle_positions":983,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]}],"notable_gamma_patterns":[],"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":[0,656,1640,984,328,1312,0],"clock_positions":[1968,656,1640,984,328,1312,1968],"native_values":[983,969,14,983,969,14,983],"reduced_m9_values":[9,6,5,9,6,5,9],"reference_values":[9,3,6,9,3,6,9],"normalized_route_sixths":[0,2,5,3,1,4,0],"orientation":"clockwise from north; fixed M9 route and starting phase","reason":"Reference geometry exists, but the reduced traversal does not equal 9–3–6–9–3–6–9.","scope":"Tests the fixed north-oriented M9 path on the full native period circle; does not fold the period or rotate/reverse the values to force a match."},"epsilon_assessment":{"rule_version":"native-epsilon-diagnostics-v1","native_369_present":false,"candidate_count":328,"candidates":[{"formation_id":"6-nodes-offset-0","alpha_indices":[0,328,656,984,1312,1640],"clock_positions":[1968,328,656,984,1312,1640],"native_values":[983,969,969,983,14,14],"rotation_degrees":0.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":0,"clock_position":1968,"value":983},{"alpha_index":328,"clock_position":328,"value":969},{"alpha_index":656,"clock_position":656,"value":969},{"alpha_index":984,"clock_position":984,"value":983},{"alpha_index":1312,"clock_position":1312,"value":14},{"alpha_index":1640,"clock_position":1640,"value":14}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-1","alpha_indices":[1,329,657,985,1313,1641],"clock_positions":[1,329,657,985,1313,1641],"native_values":[1,485,484,982,498,499],"rotation_degrees":0.18292682926829268,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":1,"clock_position":1,"value":1},{"alpha_index":329,"clock_position":329,"value":485},{"alpha_index":657,"clock_position":657,"value":484},{"alpha_index":985,"clock_position":985,"value":982},{"alpha_index":1313,"clock_position":1313,"value":498},{"alpha_index":1641,"clock_position":1641,"value":499}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-2","alpha_indices":[2,330,658,986,1314,1642],"clock_positions":[2,330,658,986,1314,1642],"native_values":[1,471,470,982,512,513],"rotation_degrees":0.36585365853658536,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":2,"clock_position":2,"value":1},{"alpha_index":330,"clock_position":330,"value":471},{"alpha_index":658,"clock_position":658,"value":470},{"alpha_index":986,"clock_position":986,"value":982},{"alpha_index":1314,"clock_position":1314,"value":512},{"alpha_index":1642,"clock_position":1642,"value":513}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-3","alpha_indices":[3,331,659,987,1315,1643],"clock_positions":[3,331,659,987,1315,1643],"native_values":[2,956,954,981,27,29],"rotation_degrees":0.5487804878048781,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":3,"clock_position":3,"value":2},{"alpha_index":331,"clock_position":331,"value":956},{"alpha_index":659,"clock_position":659,"value":954},{"alpha_index":987,"clock_position":987,"value":981},{"alpha_index":1315,"clock_position":1315,"value":27},{"alpha_index":1643,"clock_position":1643,"value":29}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-4","alpha_indices":[4,332,660,988,1316,1644],"clock_positions":[4,332,660,988,1316,1644],"native_values":[3,444,441,980,539,542],"rotation_degrees":0.7317073170731707,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":332,"clock_position":332,"value":444},{"alpha_index":660,"clock_position":660,"value":441},{"alpha_index":988,"clock_position":988,"value":980},{"alpha_index":1316,"clock_position":1316,"value":539},{"alpha_index":1644,"clock_position":1644,"value":542}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-5","alpha_indices":[5,333,661,989,1317,1645],"clock_positions":[5,333,661,989,1317,1645],"native_values":[5,417,412,978,566,571],"rotation_degrees":0.9146341463414634,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":5,"clock_position":5,"value":5},{"alpha_index":333,"clock_position":333,"value":417},{"alpha_index":661,"clock_position":661,"value":412},{"alpha_index":989,"clock_position":989,"value":978},{"alpha_index":1317,"clock_position":1317,"value":566},{"alpha_index":1645,"clock_position":1645,"value":571}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-6","alpha_indices":[6,334,662,990,1318,1646],"clock_positions":[6,334,662,990,1318,1646],"native_values":[8,861,853,975,122,130],"rotation_degrees":1.0975609756097562,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":6,"clock_position":6,"value":8},{"alpha_index":334,"clock_position":334,"value":861},{"alpha_index":662,"clock_position":662,"value":853},{"alpha_index":990,"clock_position":990,"value":975},{"alpha_index":1318,"clock_position":1318,"value":122},{"alpha_index":1646,"clock_position":1646,"value":130}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-7","alpha_indices":[7,335,663,991,1319,1647],"clock_positions":[7,335,663,991,1319,1647],"native_values":[13,295,282,970,688,701],"rotation_degrees":1.2804878048780488,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":7,"clock_position":7,"value":13},{"alpha_index":335,"clock_position":335,"value":295},{"alpha_index":663,"clock_position":663,"value":282},{"alpha_index":991,"clock_position":991,"value":970},{"alpha_index":1319,"clock_position":1319,"value":688},{"alpha_index":1647,"clock_position":1647,"value":701}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-8","alpha_indices":[8,336,664,992,1320,1648],"clock_positions":[8,336,664,992,1320,1648],"native_values":[21,173,152,962,810,831],"rotation_degrees":1.4634146341463414,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":8,"clock_position":8,"value":21},{"alpha_index":336,"clock_position":336,"value":173},{"alpha_index":664,"clock_position":664,"value":152},{"alpha_index":992,"clock_position":992,"value":962},{"alpha_index":1320,"clock_position":1320,"value":810},{"alpha_index":1648,"clock_position":1648,"value":831}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-9","alpha_indices":[9,337,665,993,1321,1649],"clock_positions":[9,337,665,993,1321,1649],"native_values":[34,468,434,949,515,549],"rotation_degrees":1.646341463414634,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":9,"clock_position":9,"value":34},{"alpha_index":337,"clock_position":337,"value":468},{"alpha_index":665,"clock_position":665,"value":434},{"alpha_index":993,"clock_position":993,"value":949},{"alpha_index":1321,"clock_position":1321,"value":515},{"alpha_index":1649,"clock_position":1649,"value":549}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-10","alpha_indices":[10,338,666,994,1322,1650],"clock_positions":[10,338,666,994,1322,1650],"native_values":[55,641,586,928,342,397],"rotation_degrees":1.829268292682927,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":10,"clock_position":10,"value":55},{"alpha_index":338,"clock_position":338,"value":641},{"alpha_index":666,"clock_position":666,"value":586},{"alpha_index":994,"clock_position":994,"value":928},{"alpha_index":1322,"clock_position":1322,"value":342},{"alpha_index":1650,"clock_position":1650,"value":397}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-11","alpha_indices":[11,339,667,995,1323,1651],"clock_positions":[11,339,667,995,1323,1651],"native_values":[89,126,37,894,857,946],"rotation_degrees":2.0121951219512195,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":11,"clock_position":11,"value":89},{"alpha_index":339,"clock_position":339,"value":126},{"alpha_index":667,"clock_position":667,"value":37},{"alpha_index":995,"clock_position":995,"value":894},{"alpha_index":1323,"clock_position":1323,"value":857},{"alpha_index":1651,"clock_position":1651,"value":946}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-12","alpha_indices":[12,340,668,996,1324,1652],"clock_positions":[12,340,668,996,1324,1652],"native_values":[144,767,623,839,216,360],"rotation_degrees":2.1951219512195124,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":12,"clock_position":12,"value":144},{"alpha_index":340,"clock_position":340,"value":767},{"alpha_index":668,"clock_position":668,"value":623},{"alpha_index":996,"clock_position":996,"value":839},{"alpha_index":1324,"clock_position":1324,"value":216},{"alpha_index":1652,"clock_position":1652,"value":360}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-13","alpha_indices":[13,341,669,997,1325,1653],"clock_positions":[13,341,669,997,1325,1653],"native_values":[233,893,660,750,90,323],"rotation_degrees":2.3780487804878048,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":13,"clock_position":13,"value":233},{"alpha_index":341,"clock_position":341,"value":893},{"alpha_index":669,"clock_position":669,"value":660},{"alpha_index":997,"clock_position":997,"value":750},{"alpha_index":1325,"clock_position":1325,"value":90},{"alpha_index":1653,"clock_position":1653,"value":323}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-14","alpha_indices":[14,342,670,998,1326,1654],"clock_positions":[14,342,670,998,1326,1654],"native_values":[377,677,300,606,306,683],"rotation_degrees":2.5609756097560976,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":14,"clock_position":14,"value":377},{"alpha_index":342,"clock_position":342,"value":677},{"alpha_index":670,"clock_position":670,"value":300},{"alpha_index":998,"clock_position":998,"value":606},{"alpha_index":1326,"clock_position":1326,"value":306},{"alpha_index":1654,"clock_position":1654,"value":683}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-15","alpha_indices":[15,343,671,999,1327,1655],"clock_positions":[15,343,671,999,1327,1655],"native_values":[610,587,960,373,396,23],"rotation_degrees":2.7439024390243905,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":15,"clock_position":15,"value":610},{"alpha_index":343,"clock_position":343,"value":587},{"alpha_index":671,"clock_position":671,"value":960},{"alpha_index":999,"clock_position":999,"value":373},{"alpha_index":1327,"clock_position":1327,"value":396},{"alpha_index":1655,"clock_position":1655,"value":23}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-16","alpha_indices":[16,344,672,1000,1328,1656],"clock_positions":[16,344,672,1000,1328,1656],"native_values":[4,281,277,979,702,706],"rotation_degrees":2.926829268292683,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":16,"clock_position":16,"value":4},{"alpha_index":344,"clock_position":344,"value":281},{"alpha_index":672,"clock_position":672,"value":277},{"alpha_index":1000,"clock_position":1000,"value":979},{"alpha_index":1328,"clock_position":1328,"value":702},{"alpha_index":1656,"clock_position":1656,"value":706}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-17","alpha_indices":[17,345,673,1001,1329,1657],"clock_positions":[17,345,673,1001,1329,1657],"native_values":[614,868,254,369,115,729],"rotation_degrees":3.1097560975609757,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":17,"clock_position":17,"value":614},{"alpha_index":345,"clock_position":345,"value":868},{"alpha_index":673,"clock_position":673,"value":254},{"alpha_index":1001,"clock_position":1001,"value":369},{"alpha_index":1329,"clock_position":1329,"value":115},{"alpha_index":1657,"clock_position":1657,"value":729}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-18","alpha_indices":[18,346,674,1002,1330,1658],"clock_positions":[18,346,674,1002,1330,1658],"native_values":[618,166,531,365,817,452],"rotation_degrees":3.292682926829268,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":18,"clock_position":18,"value":618},{"alpha_index":346,"clock_position":346,"value":166},{"alpha_index":674,"clock_position":674,"value":531},{"alpha_index":1002,"clock_position":1002,"value":365},{"alpha_index":1330,"clock_position":1330,"value":817},{"alpha_index":1658,"clock_position":1658,"value":452}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-19","alpha_indices":[19,347,675,1003,1331,1659],"clock_positions":[19,347,675,1003,1331,1659],"native_values":[249,51,785,734,932,198],"rotation_degrees":3.475609756097561,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":19,"clock_position":19,"value":249},{"alpha_index":347,"clock_position":347,"value":51},{"alpha_index":675,"clock_position":675,"value":785},{"alpha_index":1003,"clock_position":1003,"value":734},{"alpha_index":1331,"clock_position":1331,"value":932},{"alpha_index":1659,"clock_position":1659,"value":198}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-20","alpha_indices":[20,348,676,1004,1332,1660],"clock_positions":[20,348,676,1004,1332,1660],"native_values":[867,217,333,116,766,650],"rotation_degrees":3.658536585365854,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":20,"clock_position":20,"value":867},{"alpha_index":348,"clock_position":348,"value":217},{"alpha_index":676,"clock_position":676,"value":333},{"alpha_index":1004,"clock_position":1004,"value":116},{"alpha_index":1332,"clock_position":1332,"value":766},{"alpha_index":1660,"clock_position":1660,"value":650}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-21","alpha_indices":[21,349,677,1005,1333,1661],"clock_positions":[21,349,677,1005,1333,1661],"native_values":[133,268,135,850,715,848],"rotation_degrees":3.841463414634146,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":21,"clock_position":21,"value":133},{"alpha_index":349,"clock_position":349,"value":268},{"alpha_index":677,"clock_position":677,"value":135},{"alpha_index":1005,"clock_position":1005,"value":850},{"alpha_index":1333,"clock_position":1333,"value":715},{"alpha_index":1661,"clock_position":1661,"value":848}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-22","alpha_indices":[22,350,678,1006,1334,1662],"clock_positions":[22,350,678,1006,1334,1662],"native_values":[17,485,468,966,498,515],"rotation_degrees":4.024390243902439,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":22,"clock_position":22,"value":17},{"alpha_index":350,"clock_position":350,"value":485},{"alpha_index":678,"clock_position":678,"value":468},{"alpha_index":1006,"clock_position":1006,"value":966},{"alpha_index":1334,"clock_position":1334,"value":498},{"alpha_index":1662,"clock_position":1662,"value":515}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-23","alpha_indices":[23,351,679,1007,1335,1663],"clock_positions":[23,351,679,1007,1335,1663],"native_values":[150,753,603,833,230,380],"rotation_degrees":4.2073170731707314,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":23,"clock_position":23,"value":150},{"alpha_index":351,"clock_position":351,"value":753},{"alpha_index":679,"clock_position":679,"value":603},{"alpha_index":1007,"clock_position":1007,"value":833},{"alpha_index":1335,"clock_position":1335,"value":230},{"alpha_index":1663,"clock_position":1663,"value":380}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-24","alpha_indices":[24,352,680,1008,1336,1664],"clock_positions":[24,352,680,1008,1336,1664],"native_values":[167,255,88,816,728,895],"rotation_degrees":4.390243902439025,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":24,"clock_position":24,"value":167},{"alpha_index":352,"clock_position":352,"value":255},{"alpha_index":680,"clock_position":680,"value":88},{"alpha_index":1008,"clock_position":1008,"value":816},{"alpha_index":1336,"clock_position":1336,"value":728},{"alpha_index":1664,"clock_position":1664,"value":895}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-25","alpha_indices":[25,353,681,1009,1337,1665],"clock_positions":[25,353,681,1009,1337,1665],"native_values":[317,25,691,666,958,292],"rotation_degrees":4.573170731707317,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":25,"clock_position":25,"value":317},{"alpha_index":353,"clock_position":353,"value":25},{"alpha_index":681,"clock_position":681,"value":691},{"alpha_index":1009,"clock_position":1009,"value":666},{"alpha_index":1337,"clock_position":1337,"value":958},{"alpha_index":1665,"clock_position":1665,"value":292}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-26","alpha_indices":[26,354,682,1010,1338,1666],"clock_positions":[26,354,682,1010,1338,1666],"native_values":[484,280,779,499,703,204],"rotation_degrees":4.7560975609756095,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":26,"clock_position":26,"value":484},{"alpha_index":354,"clock_position":354,"value":280},{"alpha_index":682,"clock_position":682,"value":779},{"alpha_index":1010,"clock_position":1010,"value":499},{"alpha_index":1338,"clock_position":1338,"value":703},{"alpha_index":1666,"clock_position":1666,"value":204}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-27","alpha_indices":[27,355,683,1011,1339,1667],"clock_positions":[27,355,683,1011,1339,1667],"native_values":[801,305,487,182,678,496],"rotation_degrees":4.939024390243903,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":27,"clock_position":27,"value":801},{"alpha_index":355,"clock_position":355,"value":305},{"alpha_index":683,"clock_position":683,"value":487},{"alpha_index":1011,"clock_position":1011,"value":182},{"alpha_index":1339,"clock_position":1339,"value":678},{"alpha_index":1667,"clock_position":1667,"value":496}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-28","alpha_indices":[28,356,684,1012,1340,1668],"clock_positions":[28,356,684,1012,1340,1668],"native_values":[302,585,283,681,398,700],"rotation_degrees":5.121951219512195,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":28,"clock_position":28,"value":302},{"alpha_index":356,"clock_position":356,"value":585},{"alpha_index":684,"clock_position":684,"value":283},{"alpha_index":1012,"clock_position":1012,"value":681},{"alpha_index":1340,"clock_position":1340,"value":398},{"alpha_index":1668,"clock_position":1668,"value":700}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-29","alpha_indices":[29,357,685,1013,1341,1669],"clock_positions":[29,357,685,1013,1341,1669],"native_values":[120,890,770,863,93,213],"rotation_degrees":5.304878048780488,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":29,"clock_position":29,"value":120},{"alpha_index":357,"clock_position":357,"value":890},{"alpha_index":685,"clock_position":685,"value":770},{"alpha_index":1013,"clock_position":1013,"value":863},{"alpha_index":1341,"clock_position":1341,"value":93},{"alpha_index":1669,"clock_position":1669,"value":213}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-30","alpha_indices":[30,358,686,1014,1342,1670],"clock_positions":[30,358,686,1014,1342,1670],"native_values":[422,492,70,561,491,913],"rotation_degrees":5.487804878048781,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":30,"clock_position":30,"value":422},{"alpha_index":358,"clock_position":358,"value":492},{"alpha_index":686,"clock_position":686,"value":70},{"alpha_index":1014,"clock_position":1014,"value":561},{"alpha_index":1342,"clock_position":1342,"value":491},{"alpha_index":1670,"clock_position":1670,"value":913}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-31","alpha_indices":[31,359,687,1015,1343,1671],"clock_positions":[31,359,687,1015,1343,1671],"native_values":[542,399,840,441,584,143],"rotation_degrees":5.670731707317073,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":31,"clock_position":31,"value":542},{"alpha_index":359,"clock_position":359,"value":399},{"alpha_index":687,"clock_position":687,"value":840},{"alpha_index":1015,"clock_position":1015,"value":441},{"alpha_index":1343,"clock_position":1343,"value":584},{"alpha_index":1671,"clock_position":1671,"value":143}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-32","alpha_indices":[32,360,688,1016,1344,1672],"clock_positions":[32,360,688,1016,1344,1672],"native_values":[964,891,910,19,92,73],"rotation_degrees":5.853658536585366,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":32,"clock_position":32,"value":964},{"alpha_index":360,"clock_position":360,"value":891},{"alpha_index":688,"clock_position":688,"value":910},{"alpha_index":1016,"clock_position":1016,"value":19},{"alpha_index":1344,"clock_position":1344,"value":92},{"alpha_index":1672,"clock_position":1672,"value":73}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-33","alpha_indices":[33,361,689,1017,1345,1673],"clock_positions":[33,361,689,1017,1345,1673],"native_values":[523,307,767,460,676,216],"rotation_degrees":6.036585365853658,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":33,"clock_position":33,"value":523},{"alpha_index":361,"clock_position":361,"value":307},{"alpha_index":689,"clock_position":689,"value":767},{"alpha_index":1017,"clock_position":1017,"value":460},{"alpha_index":1345,"clock_position":1345,"value":676},{"alpha_index":1673,"clock_position":1673,"value":216}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-34","alpha_indices":[34,362,690,1018,1346,1674],"clock_positions":[34,362,690,1018,1346,1674],"native_values":[504,215,694,479,768,289],"rotation_degrees":6.219512195121951,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":34,"clock_position":34,"value":504},{"alpha_index":362,"clock_position":362,"value":215},{"alpha_index":690,"clock_position":690,"value":694},{"alpha_index":1018,"clock_position":1018,"value":479},{"alpha_index":1346,"clock_position":1346,"value":768},{"alpha_index":1674,"clock_position":1674,"value":289}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-35","alpha_indices":[35,363,691,1019,1347,1675],"clock_positions":[35,363,691,1019,1347,1675],"native_values":[44,522,478,939,461,505],"rotation_degrees":6.402439024390244,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":35,"clock_position":35,"value":44},{"alpha_index":363,"clock_position":363,"value":522},{"alpha_index":691,"clock_position":691,"value":478},{"alpha_index":1019,"clock_position":1019,"value":939},{"alpha_index":1347,"clock_position":1347,"value":461},{"alpha_index":1675,"clock_position":1675,"value":505}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-36","alpha_indices":[36,364,692,1020,1348,1676],"clock_positions":[36,364,692,1020,1348,1676],"native_values":[548,737,189,435,246,794],"rotation_degrees":6.585365853658536,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":36,"clock_position":36,"value":548},{"alpha_index":364,"clock_position":364,"value":737},{"alpha_index":692,"clock_position":692,"value":189},{"alpha_index":1020,"clock_position":1020,"value":435},{"alpha_index":1348,"clock_position":1348,"value":246},{"alpha_index":1676,"clock_position":1676,"value":794}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-37","alpha_indices":[37,365,693,1021,1349,1677],"clock_positions":[37,365,693,1021,1349,1677],"native_values":[592,276,667,391,707,316],"rotation_degrees":6.7682926829268295,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":37,"clock_position":37,"value":592},{"alpha_index":365,"clock_position":365,"value":276},{"alpha_index":693,"clock_position":693,"value":667},{"alpha_index":1021,"clock_position":1021,"value":391},{"alpha_index":1349,"clock_position":1349,"value":707},{"alpha_index":1677,"clock_position":1677,"value":316}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-38","alpha_indices":[38,366,694,1022,1350,1678],"clock_positions":[38,366,694,1022,1350,1678],"native_values":[157,30,856,826,953,127],"rotation_degrees":6.951219512195122,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":38,"clock_position":38,"value":157},{"alpha_index":366,"clock_position":366,"value":30},{"alpha_index":694,"clock_position":694,"value":856},{"alpha_index":1022,"clock_position":1022,"value":826},{"alpha_index":1350,"clock_position":1350,"value":953},{"alpha_index":1678,"clock_position":1678,"value":127}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-39","alpha_indices":[39,367,695,1023,1351,1679],"clock_positions":[39,367,695,1023,1351,1679],"native_values":[749,306,540,234,677,443],"rotation_degrees":7.134146341463414,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":39,"clock_position":39,"value":749},{"alpha_index":367,"clock_position":367,"value":306},{"alpha_index":695,"clock_position":695,"value":540},{"alpha_index":1023,"clock_position":1023,"value":234},{"alpha_index":1351,"clock_position":1351,"value":677},{"alpha_index":1679,"clock_position":1679,"value":443}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-40","alpha_indices":[40,368,696,1024,1352,1680],"clock_positions":[40,368,696,1024,1352,1680],"native_values":[906,336,413,77,647,570],"rotation_degrees":7.317073170731708,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":40,"clock_position":40,"value":906},{"alpha_index":368,"clock_position":368,"value":336},{"alpha_index":696,"clock_position":696,"value":413},{"alpha_index":1024,"clock_position":1024,"value":77},{"alpha_index":1352,"clock_position":1352,"value":647},{"alpha_index":1680,"clock_position":1680,"value":570}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-41","alpha_indices":[41,369,697,1025,1353,1681],"clock_positions":[41,369,697,1025,1353,1681],"native_values":[672,642,953,311,341,30],"rotation_degrees":7.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":41,"clock_position":41,"value":672},{"alpha_index":369,"clock_position":369,"value":642},{"alpha_index":697,"clock_position":697,"value":953},{"alpha_index":1025,"clock_position":1025,"value":311},{"alpha_index":1353,"clock_position":1353,"value":341},{"alpha_index":1681,"clock_position":1681,"value":30}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-42","alpha_indices":[42,370,698,1026,1354,1682],"clock_positions":[42,370,698,1026,1354,1682],"native_values":[595,978,383,388,5,600],"rotation_degrees":7.682926829268292,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":42,"clock_position":42,"value":595},{"alpha_index":370,"clock_position":370,"value":978},{"alpha_index":698,"clock_position":698,"value":383},{"alpha_index":1026,"clock_position":1026,"value":388},{"alpha_index":1354,"clock_position":1354,"value":5},{"alpha_index":1682,"clock_position":1682,"value":600}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-43","alpha_indices":[43,371,699,1027,1355,1683],"clock_positions":[43,371,699,1027,1355,1683],"native_values":[284,637,353,699,346,630],"rotation_degrees":7.865853658536586,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":43,"clock_position":43,"value":284},{"alpha_index":371,"clock_position":371,"value":637},{"alpha_index":699,"clock_position":699,"value":353},{"alpha_index":1027,"clock_position":1027,"value":699},{"alpha_index":1355,"clock_position":1355,"value":346},{"alpha_index":1683,"clock_position":1683,"value":630}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-44","alpha_indices":[44,372,700,1028,1356,1684],"clock_positions":[44,372,700,1028,1356,1684],"native_values":[879,632,736,104,351,247],"rotation_degrees":8.048780487804878,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":44,"clock_position":44,"value":879},{"alpha_index":372,"clock_position":372,"value":632},{"alpha_index":700,"clock_position":700,"value":736},{"alpha_index":1028,"clock_position":1028,"value":104},{"alpha_index":1356,"clock_position":1356,"value":351},{"alpha_index":1684,"clock_position":1684,"value":247}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-45","alpha_indices":[45,373,701,1029,1357,1685],"clock_positions":[45,373,701,1029,1357,1685],"native_values":[180,286,106,803,697,877],"rotation_degrees":8.231707317073171,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":45,"clock_position":45,"value":180},{"alpha_index":373,"clock_position":373,"value":286},{"alpha_index":701,"clock_position":701,"value":106},{"alpha_index":1029,"clock_position":1029,"value":803},{"alpha_index":1357,"clock_position":1357,"value":697},{"alpha_index":1685,"clock_position":1685,"value":877}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-46","alpha_indices":[46,374,702,1030,1358,1686],"clock_positions":[46,374,702,1030,1358,1686],"native_values":[76,918,842,907,65,141],"rotation_degrees":8.414634146341463,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":46,"clock_position":46,"value":76},{"alpha_index":374,"clock_position":374,"value":918},{"alpha_index":702,"clock_position":702,"value":842},{"alpha_index":1030,"clock_position":1030,"value":907},{"alpha_index":1358,"clock_position":1358,"value":65},{"alpha_index":1686,"clock_position":1686,"value":141}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-47","alpha_indices":[47,375,703,1031,1359,1687],"clock_positions":[47,375,703,1031,1359,1687],"native_values":[256,221,948,727,762,35],"rotation_degrees":8.597560975609756,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":47,"clock_position":47,"value":256},{"alpha_index":375,"clock_position":375,"value":221},{"alpha_index":703,"clock_position":703,"value":948},{"alpha_index":1031,"clock_position":1031,"value":727},{"alpha_index":1359,"clock_position":1359,"value":762},{"alpha_index":1687,"clock_position":1687,"value":35}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-48","alpha_indices":[48,376,704,1032,1360,1688],"clock_positions":[48,376,704,1032,1360,1688],"native_values":[332,156,807,651,827,176],"rotation_degrees":8.78048780487805,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":48,"clock_position":48,"value":332},{"alpha_index":376,"clock_position":376,"value":156},{"alpha_index":704,"clock_position":704,"value":807},{"alpha_index":1032,"clock_position":1032,"value":651},{"alpha_index":1360,"clock_position":1360,"value":827},{"alpha_index":1688,"clock_position":1688,"value":176}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-49","alpha_indices":[49,377,705,1033,1361,1689],"clock_positions":[49,377,705,1033,1361,1689],"native_values":[588,377,772,395,606,211],"rotation_degrees":8.963414634146341,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":49,"clock_position":49,"value":588},{"alpha_index":377,"clock_position":377,"value":377},{"alpha_index":705,"clock_position":705,"value":772},{"alpha_index":1033,"clock_position":1033,"value":395},{"alpha_index":1361,"clock_position":1361,"value":606},{"alpha_index":1689,"clock_position":1689,"value":211}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-50","alpha_indices":[50,378,706,1034,1362,1690],"clock_positions":[50,378,706,1034,1362,1690],"native_values":[920,533,596,63,450,387],"rotation_degrees":9.146341463414634,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":50,"clock_position":50,"value":920},{"alpha_index":378,"clock_position":378,"value":533},{"alpha_index":706,"clock_position":706,"value":596},{"alpha_index":1034,"clock_position":1034,"value":63},{"alpha_index":1362,"clock_position":1362,"value":450},{"alpha_index":1690,"clock_position":1690,"value":387}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-51","alpha_indices":[51,379,707,1035,1363,1691],"clock_positions":[51,379,707,1035,1363,1691],"native_values":[525,910,385,458,73,598],"rotation_degrees":9.329268292682928,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":51,"clock_position":51,"value":525},{"alpha_index":379,"clock_position":379,"value":910},{"alpha_index":707,"clock_position":707,"value":385},{"alpha_index":1035,"clock_position":1035,"value":458},{"alpha_index":1363,"clock_position":1363,"value":73},{"alpha_index":1691,"clock_position":1691,"value":598}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-52","alpha_indices":[52,380,708,1036,1364,1692],"clock_positions":[52,380,708,1036,1364,1692],"native_values":[462,460,981,521,523,2],"rotation_degrees":9.512195121951219,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":52,"clock_position":52,"value":462},{"alpha_index":380,"clock_position":380,"value":460},{"alpha_index":708,"clock_position":708,"value":981},{"alpha_index":1036,"clock_position":1036,"value":521},{"alpha_index":1364,"clock_position":1364,"value":523},{"alpha_index":1692,"clock_position":1692,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-53","alpha_indices":[53,381,709,1037,1365,1693],"clock_positions":[53,381,709,1037,1365,1693],"native_values":[4,387,383,979,596,600],"rotation_degrees":9.695121951219512,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":53,"clock_position":53,"value":4},{"alpha_index":381,"clock_position":381,"value":387},{"alpha_index":709,"clock_position":709,"value":383},{"alpha_index":1037,"clock_position":1037,"value":979},{"alpha_index":1365,"clock_position":1365,"value":596},{"alpha_index":1693,"clock_position":1693,"value":600}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-54","alpha_indices":[54,382,710,1038,1366,1694],"clock_positions":[54,382,710,1038,1366,1694],"native_values":[466,847,381,517,136,602],"rotation_degrees":9.878048780487806,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":54,"clock_position":54,"value":466},{"alpha_index":382,"clock_position":382,"value":847},{"alpha_index":710,"clock_position":710,"value":381},{"alpha_index":1038,"clock_position":1038,"value":517},{"alpha_index":1366,"clock_position":1366,"value":136},{"alpha_index":1694,"clock_position":1694,"value":602}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-55","alpha_indices":[55,383,711,1039,1367,1695],"clock_positions":[55,383,711,1039,1367,1695],"native_values":[470,251,764,513,732,219],"rotation_degrees":10.060975609756097,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":55,"clock_position":55,"value":470},{"alpha_index":383,"clock_position":383,"value":251},{"alpha_index":711,"clock_position":711,"value":764},{"alpha_index":1039,"clock_position":1039,"value":513},{"alpha_index":1367,"clock_position":1367,"value":732},{"alpha_index":1695,"clock_position":1695,"value":219}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-56","alpha_indices":[56,384,712,1040,1368,1696],"clock_positions":[56,384,712,1040,1368,1696],"native_values":[936,115,162,47,868,821],"rotation_degrees":10.24390243902439,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":56,"clock_position":56,"value":936},{"alpha_index":384,"clock_position":384,"value":115},{"alpha_index":712,"clock_position":712,"value":162},{"alpha_index":1040,"clock_position":1040,"value":47},{"alpha_index":1368,"clock_position":1368,"value":868},{"alpha_index":1696,"clock_position":1696,"value":821}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-57","alpha_indices":[57,385,713,1041,1369,1697],"clock_positions":[57,385,713,1041,1369,1697],"native_values":[423,366,926,560,617,57],"rotation_degrees":10.426829268292684,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":57,"clock_position":57,"value":423},{"alpha_index":385,"clock_position":385,"value":366},{"alpha_index":713,"clock_position":713,"value":926},{"alpha_index":1041,"clock_position":1041,"value":560},{"alpha_index":1369,"clock_position":1369,"value":617},{"alpha_index":1697,"clock_position":1697,"value":57}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-58","alpha_indices":[58,386,714,1042,1370,1698],"clock_positions":[58,386,714,1042,1370,1698],"native_values":[376,481,105,607,502,878],"rotation_degrees":10.609756097560975,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":58,"clock_position":58,"value":376},{"alpha_index":386,"clock_position":386,"value":481},{"alpha_index":714,"clock_position":714,"value":105},{"alpha_index":1042,"clock_position":1042,"value":607},{"alpha_index":1370,"clock_position":1370,"value":502},{"alpha_index":1698,"clock_position":1698,"value":878}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-59","alpha_indices":[59,387,715,1043,1371,1699],"clock_positions":[59,387,715,1043,1371,1699],"native_values":[799,847,48,184,136,935],"rotation_degrees":10.792682926829269,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":59,"clock_position":59,"value":799},{"alpha_index":387,"clock_position":387,"value":847},{"alpha_index":715,"clock_position":715,"value":48},{"alpha_index":1043,"clock_position":1043,"value":184},{"alpha_index":1371,"clock_position":1371,"value":136},{"alpha_index":1699,"clock_position":1699,"value":935}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-60","alpha_indices":[60,388,716,1044,1372,1700],"clock_positions":[60,388,716,1044,1372,1700],"native_values":[192,345,153,791,638,830],"rotation_degrees":10.975609756097562,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":60,"clock_position":60,"value":192},{"alpha_index":388,"clock_position":388,"value":345},{"alpha_index":716,"clock_position":716,"value":153},{"alpha_index":1044,"clock_position":1044,"value":791},{"alpha_index":1372,"clock_position":1372,"value":638},{"alpha_index":1700,"clock_position":1700,"value":830}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-61","alpha_indices":[61,389,717,1045,1373,1701],"clock_positions":[61,389,717,1045,1373,1701],"native_values":[8,209,201,975,774,782],"rotation_degrees":11.158536585365853,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":61,"clock_position":61,"value":8},{"alpha_index":389,"clock_position":389,"value":209},{"alpha_index":717,"clock_position":717,"value":201},{"alpha_index":1045,"clock_position":1045,"value":975},{"alpha_index":1373,"clock_position":1373,"value":774},{"alpha_index":1701,"clock_position":1701,"value":782}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-62","alpha_indices":[62,390,718,1046,1374,1702],"clock_positions":[62,390,718,1046,1374,1702],"native_values":[200,554,354,783,429,629],"rotation_degrees":11.341463414634147,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":62,"clock_position":62,"value":200},{"alpha_index":390,"clock_position":390,"value":554},{"alpha_index":718,"clock_position":718,"value":354},{"alpha_index":1046,"clock_position":1046,"value":783},{"alpha_index":1374,"clock_position":1374,"value":429},{"alpha_index":1702,"clock_position":1702,"value":629}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-63","alpha_indices":[63,391,719,1047,1375,1703],"clock_positions":[63,391,719,1047,1375,1703],"native_values":[208,763,555,775,220,428],"rotation_degrees":11.524390243902438,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":63,"clock_position":63,"value":208},{"alpha_index":391,"clock_position":391,"value":763},{"alpha_index":719,"clock_position":719,"value":555},{"alpha_index":1047,"clock_position":1047,"value":775},{"alpha_index":1375,"clock_position":1375,"value":220},{"alpha_index":1703,"clock_position":1703,"value":428}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-64","alpha_indices":[64,392,720,1048,1376,1704],"clock_positions":[64,392,720,1048,1376,1704],"native_values":[408,334,909,575,649,74],"rotation_degrees":11.707317073170731,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":64,"clock_position":64,"value":408},{"alpha_index":392,"clock_position":392,"value":334},{"alpha_index":720,"clock_position":720,"value":909},{"alpha_index":1048,"clock_position":1048,"value":575},{"alpha_index":1376,"clock_position":1376,"value":649},{"alpha_index":1704,"clock_position":1704,"value":74}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-65","alpha_indices":[65,393,721,1049,1377,1705],"clock_positions":[65,393,721,1049,1377,1705],"native_values":[616,114,481,367,869,502],"rotation_degrees":11.890243902439025,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":65,"clock_position":65,"value":616},{"alpha_index":393,"clock_position":393,"value":114},{"alpha_index":721,"clock_position":721,"value":481},{"alpha_index":1049,"clock_position":1049,"value":367},{"alpha_index":1377,"clock_position":1377,"value":869},{"alpha_index":1705,"clock_position":1705,"value":502}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-66","alpha_indices":[66,394,722,1050,1378,1706],"clock_positions":[66,394,722,1050,1378,1706],"native_values":[41,448,407,942,535,576],"rotation_degrees":12.073170731707316,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":66,"clock_position":66,"value":41},{"alpha_index":394,"clock_position":394,"value":448},{"alpha_index":722,"clock_position":722,"value":407},{"alpha_index":1050,"clock_position":1050,"value":942},{"alpha_index":1378,"clock_position":1378,"value":535},{"alpha_index":1706,"clock_position":1706,"value":576}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-67","alpha_indices":[67,395,723,1051,1379,1707],"clock_positions":[67,395,723,1051,1379,1707],"native_values":[657,562,888,326,421,95],"rotation_degrees":12.25609756097561,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":67,"clock_position":67,"value":657},{"alpha_index":395,"clock_position":395,"value":562},{"alpha_index":723,"clock_position":723,"value":888},{"alpha_index":1051,"clock_position":1051,"value":326},{"alpha_index":1379,"clock_position":1379,"value":421},{"alpha_index":1707,"clock_position":1707,"value":95}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-68","alpha_indices":[68,396,724,1052,1380,1708],"clock_positions":[68,396,724,1052,1380,1708],"native_values":[698,27,312,285,956,671],"rotation_degrees":12.439024390243903,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":68,"clock_position":68,"value":698},{"alpha_index":396,"clock_position":396,"value":27},{"alpha_index":724,"clock_position":724,"value":312},{"alpha_index":1052,"clock_position":1052,"value":285},{"alpha_index":1380,"clock_position":1380,"value":956},{"alpha_index":1708,"clock_position":1708,"value":671}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-69","alpha_indices":[69,397,725,1053,1381,1709],"clock_positions":[69,397,725,1053,1381,1709],"native_values":[372,589,217,611,394,766],"rotation_degrees":12.621951219512194,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":69,"clock_position":69,"value":372},{"alpha_index":397,"clock_position":397,"value":589},{"alpha_index":725,"clock_position":725,"value":217},{"alpha_index":1053,"clock_position":1053,"value":611},{"alpha_index":1381,"clock_position":1381,"value":394},{"alpha_index":1709,"clock_position":1709,"value":766}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-70","alpha_indices":[70,398,726,1054,1382,1710],"clock_positions":[70,398,726,1054,1382,1710],"native_values":[87,616,529,896,367,454],"rotation_degrees":12.804878048780488,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":70,"clock_position":70,"value":87},{"alpha_index":398,"clock_position":398,"value":616},{"alpha_index":726,"clock_position":726,"value":529},{"alpha_index":1054,"clock_position":1054,"value":896},{"alpha_index":1382,"clock_position":1382,"value":367},{"alpha_index":1710,"clock_position":1710,"value":454}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-71","alpha_indices":[71,399,727,1055,1383,1711],"clock_positions":[71,399,727,1055,1383,1711],"native_values":[459,222,746,524,761,237],"rotation_degrees":12.987804878048781,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":71,"clock_position":71,"value":459},{"alpha_index":399,"clock_position":399,"value":222},{"alpha_index":727,"clock_position":727,"value":746},{"alpha_index":1055,"clock_position":1055,"value":524},{"alpha_index":1383,"clock_position":1383,"value":761},{"alpha_index":1711,"clock_position":1711,"value":237}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-72","alpha_indices":[72,400,728,1056,1384,1712],"clock_positions":[72,400,728,1056,1384,1712],"native_values":[546,838,292,437,145,691],"rotation_degrees":13.170731707317072,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":72,"clock_position":72,"value":546},{"alpha_index":400,"clock_position":400,"value":838},{"alpha_index":728,"clock_position":728,"value":292},{"alpha_index":1056,"clock_position":1056,"value":437},{"alpha_index":1384,"clock_position":1384,"value":145},{"alpha_index":1712,"clock_position":1712,"value":691}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-73","alpha_indices":[73,401,729,1057,1385,1713],"clock_positions":[73,401,729,1057,1385,1713],"native_values":[22,77,55,961,906,928],"rotation_degrees":13.353658536585366,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":73,"clock_position":73,"value":22},{"alpha_index":401,"clock_position":401,"value":77},{"alpha_index":729,"clock_position":729,"value":55},{"alpha_index":1057,"clock_position":1057,"value":961},{"alpha_index":1385,"clock_position":1385,"value":906},{"alpha_index":1713,"clock_position":1713,"value":928}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-74","alpha_indices":[74,402,730,1058,1386,1714],"clock_positions":[74,402,730,1058,1386,1714],"native_values":[568,915,347,415,68,636],"rotation_degrees":13.536585365853659,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":74,"clock_position":74,"value":568},{"alpha_index":402,"clock_position":402,"value":915},{"alpha_index":730,"clock_position":730,"value":347},{"alpha_index":1058,"clock_position":1058,"value":415},{"alpha_index":1386,"clock_position":1386,"value":68},{"alpha_index":1714,"clock_position":1714,"value":636}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-75","alpha_indices":[75,403,731,1059,1387,1715],"clock_positions":[75,403,731,1059,1387,1715],"native_values":[590,9,402,393,974,581],"rotation_degrees":13.71951219512195,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":75,"clock_position":75,"value":590},{"alpha_index":731,"clock_position":731,"value":402},{"alpha_index":1059,"clock_position":1059,"value":393},{"alpha_index":1387,"clock_position":1387,"value":974},{"alpha_index":1715,"clock_position":1715,"value":581}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-76","alpha_indices":[76,404,732,1060,1388,1716],"clock_positions":[76,404,732,1060,1388,1716],"native_values":[175,924,749,808,59,234],"rotation_degrees":13.902439024390244,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":76,"clock_position":76,"value":175},{"alpha_index":404,"clock_position":404,"value":924},{"alpha_index":732,"clock_position":732,"value":749},{"alpha_index":1060,"clock_position":1060,"value":808},{"alpha_index":1388,"clock_position":1388,"value":59},{"alpha_index":1716,"clock_position":1716,"value":234}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-77","alpha_indices":[77,405,733,1061,1389,1717],"clock_positions":[77,405,733,1061,1389,1717],"native_values":[765,933,168,218,50,815],"rotation_degrees":14.085365853658537,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":77,"clock_position":77,"value":765},{"alpha_index":405,"clock_position":405,"value":933},{"alpha_index":733,"clock_position":733,"value":168},{"alpha_index":1061,"clock_position":1061,"value":218},{"alpha_index":1389,"clock_position":1389,"value":50},{"alpha_index":1717,"clock_position":1717,"value":815}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-78","alpha_indices":[78,406,734,1062,1390,1718],"clock_positions":[78,406,734,1062,1390,1718],"native_values":[940,874,917,43,109,66],"rotation_degrees":14.268292682926829,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":78,"clock_position":78,"value":940},{"alpha_index":406,"clock_position":406,"value":874},{"alpha_index":734,"clock_position":734,"value":917},{"alpha_index":1062,"clock_position":1062,"value":43},{"alpha_index":1390,"clock_position":1390,"value":109},{"alpha_index":1718,"clock_position":1718,"value":66}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-79","alpha_indices":[79,407,735,1063,1391,1719],"clock_positions":[79,407,735,1063,1391,1719],"native_values":[722,824,102,261,159,881],"rotation_degrees":14.451219512195122,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":79,"clock_position":79,"value":722},{"alpha_index":407,"clock_position":407,"value":824},{"alpha_index":735,"clock_position":735,"value":102},{"alpha_index":1063,"clock_position":1063,"value":261},{"alpha_index":1391,"clock_position":1391,"value":159},{"alpha_index":1719,"clock_position":1719,"value":881}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-80","alpha_indices":[80,408,736,1064,1392,1720],"clock_positions":[80,408,736,1064,1392,1720],"native_values":[679,715,36,304,268,947],"rotation_degrees":14.634146341463415,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":80,"clock_position":80,"value":679},{"alpha_index":408,"clock_position":408,"value":715},{"alpha_index":736,"clock_position":736,"value":36},{"alpha_index":1064,"clock_position":1064,"value":304},{"alpha_index":1392,"clock_position":1392,"value":268},{"alpha_index":1720,"clock_position":1720,"value":947}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-81","alpha_indices":[81,409,737,1065,1393,1721],"clock_positions":[81,409,737,1065,1393,1721],"native_values":[418,556,138,565,427,845],"rotation_degrees":14.817073170731707,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":81,"clock_position":81,"value":418},{"alpha_index":409,"clock_position":409,"value":556},{"alpha_index":737,"clock_position":737,"value":138},{"alpha_index":1065,"clock_position":1065,"value":565},{"alpha_index":1393,"clock_position":1393,"value":427},{"alpha_index":1721,"clock_position":1721,"value":845}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-82","alpha_indices":[82,410,738,1066,1394,1722],"clock_positions":[82,410,738,1066,1394,1722],"native_values":[114,288,174,869,695,809],"rotation_degrees":15.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":82,"clock_position":82,"value":114},{"alpha_index":410,"clock_position":410,"value":288},{"alpha_index":738,"clock_position":738,"value":174},{"alpha_index":1066,"clock_position":1066,"value":869},{"alpha_index":1394,"clock_position":1394,"value":695},{"alpha_index":1722,"clock_position":1722,"value":809}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-83","alpha_indices":[83,411,739,1067,1395,1723],"clock_positions":[83,411,739,1067,1395,1723],"native_values":[532,844,312,451,139,671],"rotation_degrees":15.182926829268293,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":83,"clock_position":83,"value":532},{"alpha_index":411,"clock_position":411,"value":844},{"alpha_index":739,"clock_position":739,"value":312},{"alpha_index":1067,"clock_position":1067,"value":451},{"alpha_index":1395,"clock_position":1395,"value":139},{"alpha_index":1723,"clock_position":1723,"value":671}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-84","alpha_indices":[84,412,740,1068,1396,1724],"clock_positions":[84,412,740,1068,1396,1724],"native_values":[646,149,486,337,834,497],"rotation_degrees":15.365853658536585,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":84,"clock_position":84,"value":646},{"alpha_index":412,"clock_position":412,"value":149},{"alpha_index":740,"clock_position":740,"value":486},{"alpha_index":1068,"clock_position":1068,"value":337},{"alpha_index":1396,"clock_position":1396,"value":834},{"alpha_index":1724,"clock_position":1724,"value":497}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-85","alpha_indices":[85,413,741,1069,1397,1725],"clock_positions":[85,413,741,1069,1397,1725],"native_values":[195,10,798,788,973,185],"rotation_degrees":15.548780487804878,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":85,"clock_position":85,"value":195},{"alpha_index":413,"clock_position":413,"value":10},{"alpha_index":741,"clock_position":741,"value":798},{"alpha_index":1069,"clock_position":1069,"value":788},{"alpha_index":1397,"clock_position":1397,"value":973},{"alpha_index":1725,"clock_position":1725,"value":185}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-86","alpha_indices":[86,414,742,1070,1398,1726],"clock_positions":[86,414,742,1070,1398,1726],"native_values":[841,159,301,142,824,682],"rotation_degrees":15.731707317073171,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":86,"clock_position":86,"value":841},{"alpha_index":414,"clock_position":414,"value":159},{"alpha_index":742,"clock_position":742,"value":301},{"alpha_index":1070,"clock_position":1070,"value":142},{"alpha_index":1398,"clock_position":1398,"value":824},{"alpha_index":1726,"clock_position":1726,"value":682}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-87","alpha_indices":[87,415,743,1071,1399,1727],"clock_positions":[87,415,743,1071,1399,1727],"native_values":[53,169,116,930,814,867],"rotation_degrees":15.914634146341463,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":87,"clock_position":87,"value":53},{"alpha_index":415,"clock_position":415,"value":169},{"alpha_index":743,"clock_position":743,"value":116},{"alpha_index":1071,"clock_position":1071,"value":930},{"alpha_index":1399,"clock_position":1399,"value":814},{"alpha_index":1727,"clock_position":1727,"value":867}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-88","alpha_indices":[88,416,744,1072,1400,1728],"clock_positions":[88,416,744,1072,1400,1728],"native_values":[894,328,417,89,655,566],"rotation_degrees":16.097560975609756,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":88,"clock_position":88,"value":894},{"alpha_index":416,"clock_position":416,"value":328},{"alpha_index":744,"clock_position":744,"value":417},{"alpha_index":1072,"clock_position":1072,"value":89},{"alpha_index":1400,"clock_position":1400,"value":655},{"alpha_index":1728,"clock_position":1728,"value":566}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-89","alpha_indices":[89,417,745,1073,1401,1729],"clock_positions":[89,417,745,1073,1401,1729],"native_values":[947,497,533,36,486,450],"rotation_degrees":16.28048780487805,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":89,"clock_position":89,"value":947},{"alpha_index":417,"clock_position":417,"value":497},{"alpha_index":745,"clock_position":745,"value":533},{"alpha_index":1073,"clock_position":1073,"value":36},{"alpha_index":1401,"clock_position":1401,"value":486},{"alpha_index":1729,"clock_position":1729,"value":450}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-90","alpha_indices":[90,418,746,1074,1402,1730],"clock_positions":[90,418,746,1074,1402,1730],"native_values":[858,825,950,125,158,33],"rotation_degrees":16.463414634146343,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":90,"clock_position":90,"value":858},{"alpha_index":418,"clock_position":418,"value":825},{"alpha_index":746,"clock_position":746,"value":950},{"alpha_index":1074,"clock_position":1074,"value":125},{"alpha_index":1402,"clock_position":1402,"value":158},{"alpha_index":1730,"clock_position":1730,"value":33}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-91","alpha_indices":[91,419,747,1075,1403,1731],"clock_positions":[91,419,747,1075,1403,1731],"native_values":[822,339,500,161,644,483],"rotation_degrees":16.646341463414632,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":91,"clock_position":91,"value":822},{"alpha_index":419,"clock_position":419,"value":339},{"alpha_index":747,"clock_position":747,"value":500},{"alpha_index":1075,"clock_position":1075,"value":161},{"alpha_index":1403,"clock_position":1403,"value":644},{"alpha_index":1731,"clock_position":1731,"value":483}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-92","alpha_indices":[92,420,748,1076,1404,1732],"clock_positions":[92,420,748,1076,1404,1732],"native_values":[697,181,467,286,802,516],"rotation_degrees":16.829268292682926,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":92,"clock_position":92,"value":697},{"alpha_index":420,"clock_position":420,"value":181},{"alpha_index":748,"clock_position":748,"value":467},{"alpha_index":1076,"clock_position":1076,"value":286},{"alpha_index":1404,"clock_position":1404,"value":802},{"alpha_index":1732,"clock_position":1732,"value":516}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-93","alpha_indices":[93,421,749,1077,1405,1733],"clock_positions":[93,421,749,1077,1405,1733],"native_values":[536,520,967,447,463,16],"rotation_degrees":17.01219512195122,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":93,"clock_position":93,"value":536},{"alpha_index":421,"clock_position":421,"value":520},{"alpha_index":749,"clock_position":749,"value":967},{"alpha_index":1077,"clock_position":1077,"value":447},{"alpha_index":1405,"clock_position":1405,"value":463},{"alpha_index":1733,"clock_position":1733,"value":16}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-94","alpha_indices":[94,422,750,1078,1406,1734],"clock_positions":[94,422,750,1078,1406,1734],"native_values":[250,701,451,733,282,532],"rotation_degrees":17.195121951219512,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":94,"clock_position":94,"value":250},{"alpha_index":422,"clock_position":422,"value":701},{"alpha_index":750,"clock_position":750,"value":451},{"alpha_index":1078,"clock_position":1078,"value":733},{"alpha_index":1406,"clock_position":1406,"value":282},{"alpha_index":1734,"clock_position":1734,"value":532}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-95","alpha_indices":[95,423,751,1079,1407,1735],"clock_positions":[95,423,751,1079,1407,1735],"native_values":[786,238,435,197,745,548],"rotation_degrees":17.378048780487806,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":95,"clock_position":95,"value":786},{"alpha_index":423,"clock_position":423,"value":238},{"alpha_index":751,"clock_position":751,"value":435},{"alpha_index":1079,"clock_position":1079,"value":197},{"alpha_index":1407,"clock_position":1407,"value":745},{"alpha_index":1735,"clock_position":1735,"value":548}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-96","alpha_indices":[96,424,752,1080,1408,1736],"clock_positions":[96,424,752,1080,1408,1736],"native_values":[53,939,886,930,44,97],"rotation_degrees":17.5609756097561,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":96,"clock_position":96,"value":53},{"alpha_index":424,"clock_position":424,"value":939},{"alpha_index":752,"clock_position":752,"value":886},{"alpha_index":1080,"clock_position":1080,"value":930},{"alpha_index":1408,"clock_position":1408,"value":44},{"alpha_index":1736,"clock_position":1736,"value":97}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-97","alpha_indices":[97,425,753,1081,1409,1737],"clock_positions":[97,425,753,1081,1409,1737],"native_values":[839,194,338,144,789,645],"rotation_degrees":17.74390243902439,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":97,"clock_position":97,"value":839},{"alpha_index":425,"clock_position":425,"value":194},{"alpha_index":753,"clock_position":753,"value":338},{"alpha_index":1081,"clock_position":1081,"value":144},{"alpha_index":1409,"clock_position":1409,"value":789},{"alpha_index":1737,"clock_position":1737,"value":645}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-98","alpha_indices":[98,426,754,1082,1410,1738],"clock_positions":[98,426,754,1082,1410,1738],"native_values":[892,150,241,91,833,742],"rotation_degrees":17.926829268292682,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":98,"clock_position":98,"value":892},{"alpha_index":426,"clock_position":426,"value":150},{"alpha_index":754,"clock_position":754,"value":241},{"alpha_index":1082,"clock_position":1082,"value":91},{"alpha_index":1410,"clock_position":1410,"value":833},{"alpha_index":1738,"clock_position":1738,"value":742}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-99","alpha_indices":[99,427,755,1083,1411,1739],"clock_positions":[99,427,755,1083,1411,1739],"native_values":[748,344,579,235,639,404],"rotation_degrees":18.109756097560975,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":99,"clock_position":99,"value":748},{"alpha_index":427,"clock_position":427,"value":344},{"alpha_index":755,"clock_position":755,"value":579},{"alpha_index":1083,"clock_position":1083,"value":235},{"alpha_index":1411,"clock_position":1411,"value":639},{"alpha_index":1739,"clock_position":1739,"value":404}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-100","alpha_indices":[100,428,756,1084,1412,1740],"clock_positions":[100,428,756,1084,1412,1740],"native_values":[657,494,820,326,489,163],"rotation_degrees":18.29268292682927,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":100,"clock_position":100,"value":657},{"alpha_index":428,"clock_position":428,"value":494},{"alpha_index":756,"clock_position":756,"value":820},{"alpha_index":1084,"clock_position":1084,"value":326},{"alpha_index":1412,"clock_position":1412,"value":489},{"alpha_index":1740,"clock_position":1740,"value":163}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-101","alpha_indices":[101,429,757,1085,1413,1741],"clock_positions":[101,429,757,1085,1413,1741],"native_values":[422,838,416,561,145,567],"rotation_degrees":18.475609756097562,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":101,"clock_position":101,"value":422},{"alpha_index":429,"clock_position":429,"value":838},{"alpha_index":757,"clock_position":757,"value":416},{"alpha_index":1085,"clock_position":1085,"value":561},{"alpha_index":1413,"clock_position":1413,"value":145},{"alpha_index":1741,"clock_position":1741,"value":567}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-102","alpha_indices":[102,430,758,1086,1414,1742],"clock_positions":[102,430,758,1086,1414,1742],"native_values":[96,349,253,887,634,730],"rotation_degrees":18.658536585365855,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":102,"clock_position":102,"value":96},{"alpha_index":430,"clock_position":430,"value":349},{"alpha_index":758,"clock_position":758,"value":253},{"alpha_index":1086,"clock_position":1086,"value":887},{"alpha_index":1414,"clock_position":1414,"value":634},{"alpha_index":1742,"clock_position":1742,"value":730}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-103","alpha_indices":[103,431,759,1087,1415,1743],"clock_positions":[103,431,759,1087,1415,1743],"native_values":[518,204,669,465,779,314],"rotation_degrees":18.841463414634145,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":103,"clock_position":103,"value":518},{"alpha_index":431,"clock_position":431,"value":204},{"alpha_index":759,"clock_position":759,"value":669},{"alpha_index":1087,"clock_position":1087,"value":465},{"alpha_index":1415,"clock_position":1415,"value":779},{"alpha_index":1743,"clock_position":1743,"value":314}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-104","alpha_indices":[104,432,760,1088,1416,1744],"clock_positions":[104,432,760,1088,1416,1744],"native_values":[614,553,922,369,430,61],"rotation_degrees":19.024390243902438,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":104,"clock_position":104,"value":614},{"alpha_index":432,"clock_position":432,"value":553},{"alpha_index":760,"clock_position":760,"value":922},{"alpha_index":1088,"clock_position":1088,"value":369},{"alpha_index":1416,"clock_position":1416,"value":430},{"alpha_index":1744,"clock_position":1744,"value":61}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-105","alpha_indices":[105,433,761,1089,1417,1745],"clock_positions":[105,433,761,1089,1417,1745],"native_values":[149,757,608,834,226,375],"rotation_degrees":19.20731707317073,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":105,"clock_position":105,"value":149},{"alpha_index":433,"clock_position":433,"value":757},{"alpha_index":761,"clock_position":761,"value":608},{"alpha_index":1089,"clock_position":1089,"value":834},{"alpha_index":1417,"clock_position":1417,"value":226},{"alpha_index":1745,"clock_position":1745,"value":375}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-106","alpha_indices":[106,434,762,1090,1418,1746],"clock_positions":[106,434,762,1090,1418,1746],"native_values":[763,327,547,220,656,436],"rotation_degrees":19.390243902439025,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":106,"clock_position":106,"value":763},{"alpha_index":434,"clock_position":434,"value":327},{"alpha_index":762,"clock_position":762,"value":547},{"alpha_index":1090,"clock_position":1090,"value":220},{"alpha_index":1418,"clock_position":1418,"value":656},{"alpha_index":1746,"clock_position":1746,"value":436}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-107","alpha_indices":[107,435,763,1091,1419,1747],"clock_positions":[107,435,763,1091,1419,1747],"native_values":[912,101,172,71,882,811],"rotation_degrees":19.573170731707318,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":107,"clock_position":107,"value":912},{"alpha_index":435,"clock_position":435,"value":101},{"alpha_index":763,"clock_position":763,"value":172},{"alpha_index":1091,"clock_position":1091,"value":71},{"alpha_index":1419,"clock_position":1419,"value":882},{"alpha_index":1747,"clock_position":1747,"value":811}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-108","alpha_indices":[108,436,764,1092,1420,1748],"clock_positions":[108,436,764,1092,1420,1748],"native_values":[692,428,719,291,555,264],"rotation_degrees":19.75609756097561,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":108,"clock_position":108,"value":692},{"alpha_index":436,"clock_position":436,"value":428},{"alpha_index":764,"clock_position":764,"value":719},{"alpha_index":1092,"clock_position":1092,"value":291},{"alpha_index":1420,"clock_position":1420,"value":555},{"alpha_index":1748,"clock_position":1748,"value":264}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-109","alpha_indices":[109,437,765,1093,1421,1749],"clock_positions":[109,437,765,1093,1421,1749],"native_values":[621,529,891,362,454,92],"rotation_degrees":19.9390243902439,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":109,"clock_position":109,"value":621},{"alpha_index":437,"clock_position":437,"value":529},{"alpha_index":765,"clock_position":765,"value":891},{"alpha_index":1093,"clock_position":1093,"value":362},{"alpha_index":1421,"clock_position":1421,"value":454},{"alpha_index":1749,"clock_position":1749,"value":92}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-110","alpha_indices":[110,438,766,1094,1422,1750],"clock_positions":[110,438,766,1094,1422,1750],"native_values":[330,957,627,653,26,356],"rotation_degrees":20.121951219512194,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":110,"clock_position":110,"value":330},{"alpha_index":438,"clock_position":438,"value":957},{"alpha_index":766,"clock_position":766,"value":627},{"alpha_index":1094,"clock_position":1094,"value":653},{"alpha_index":1422,"clock_position":1422,"value":26},{"alpha_index":1750,"clock_position":1750,"value":356}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-111","alpha_indices":[111,439,767,1095,1423,1751],"clock_positions":[111,439,767,1095,1423,1751],"native_values":[951,503,535,32,480,448],"rotation_degrees":20.304878048780488,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":111,"clock_position":111,"value":951},{"alpha_index":439,"clock_position":439,"value":503},{"alpha_index":767,"clock_position":767,"value":535},{"alpha_index":1095,"clock_position":1095,"value":32},{"alpha_index":1423,"clock_position":1423,"value":480},{"alpha_index":1751,"clock_position":1751,"value":448}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-112","alpha_indices":[112,440,768,1096,1424,1752],"clock_positions":[112,440,768,1096,1424,1752],"native_values":[298,477,179,685,506,804],"rotation_degrees":20.48780487804878,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":112,"clock_position":112,"value":298},{"alpha_index":440,"clock_position":440,"value":477},{"alpha_index":768,"clock_position":768,"value":179},{"alpha_index":1096,"clock_position":1096,"value":685},{"alpha_index":1424,"clock_position":1424,"value":506},{"alpha_index":1752,"clock_position":1752,"value":804}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-113","alpha_indices":[113,441,769,1097,1425,1753],"clock_positions":[113,441,769,1097,1425,1753],"native_values":[266,980,714,717,3,269],"rotation_degrees":20.670731707317074,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":113,"clock_position":113,"value":266},{"alpha_index":441,"clock_position":441,"value":980},{"alpha_index":769,"clock_position":769,"value":714},{"alpha_index":1097,"clock_position":1097,"value":717},{"alpha_index":1753,"clock_position":1753,"value":269}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-114","alpha_indices":[114,442,770,1098,1426,1754],"clock_positions":[114,442,770,1098,1426,1754],"native_values":[564,474,893,419,509,90],"rotation_degrees":20.853658536585368,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":114,"clock_position":114,"value":564},{"alpha_index":442,"clock_position":442,"value":474},{"alpha_index":770,"clock_position":770,"value":893},{"alpha_index":1098,"clock_position":1098,"value":419},{"alpha_index":1426,"clock_position":1426,"value":509},{"alpha_index":1754,"clock_position":1754,"value":90}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-115","alpha_indices":[115,443,771,1099,1427,1755],"clock_positions":[115,443,771,1099,1427,1755],"native_values":[830,471,624,153,512,359],"rotation_degrees":21.036585365853657,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":115,"clock_position":115,"value":830},{"alpha_index":443,"clock_position":443,"value":471},{"alpha_index":771,"clock_position":771,"value":624},{"alpha_index":1099,"clock_position":1099,"value":153},{"alpha_index":1427,"clock_position":1427,"value":512},{"alpha_index":1755,"clock_position":1755,"value":359}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-116","alpha_indices":[116,444,772,1100,1428,1756],"clock_positions":[116,444,772,1100,1428,1756],"native_values":[411,945,534,572,38,449],"rotation_degrees":21.21951219512195,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":116,"clock_position":116,"value":411},{"alpha_index":444,"clock_position":444,"value":945},{"alpha_index":772,"clock_position":772,"value":534},{"alpha_index":1100,"clock_position":1100,"value":572},{"alpha_index":1428,"clock_position":1428,"value":38},{"alpha_index":1756,"clock_position":1756,"value":449}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-117","alpha_indices":[117,445,773,1101,1429,1757],"clock_positions":[117,445,773,1101,1429,1757],"native_values":[258,433,175,725,550,808],"rotation_degrees":21.402439024390244,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":117,"clock_position":117,"value":258},{"alpha_index":445,"clock_position":445,"value":433},{"alpha_index":773,"clock_position":773,"value":175},{"alpha_index":1101,"clock_position":1101,"value":725},{"alpha_index":1429,"clock_position":1429,"value":550},{"alpha_index":1757,"clock_position":1757,"value":808}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-118","alpha_indices":[118,446,774,1102,1430,1758],"clock_positions":[118,446,774,1102,1430,1758],"native_values":[669,395,709,314,588,274],"rotation_degrees":21.585365853658537,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":118,"clock_position":118,"value":669},{"alpha_index":446,"clock_position":446,"value":395},{"alpha_index":774,"clock_position":774,"value":709},{"alpha_index":1102,"clock_position":1102,"value":314},{"alpha_index":1430,"clock_position":1430,"value":588},{"alpha_index":1758,"clock_position":1758,"value":274}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-119","alpha_indices":[119,447,775,1103,1431,1759],"clock_positions":[119,447,775,1103,1431,1759],"native_values":[927,828,884,56,155,99],"rotation_degrees":21.76829268292683,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":119,"clock_position":119,"value":927},{"alpha_index":447,"clock_position":447,"value":828},{"alpha_index":775,"clock_position":775,"value":884},{"alpha_index":1103,"clock_position":1103,"value":56},{"alpha_index":1431,"clock_position":1431,"value":155},{"alpha_index":1759,"clock_position":1759,"value":99}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-120","alpha_indices":[120,448,776,1104,1432,1760],"clock_positions":[120,448,776,1104,1432,1760],"native_values":[613,240,610,370,743,373],"rotation_degrees":21.951219512195124,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":120,"clock_position":120,"value":613},{"alpha_index":448,"clock_position":448,"value":240},{"alpha_index":776,"clock_position":776,"value":610},{"alpha_index":1104,"clock_position":1104,"value":370},{"alpha_index":1432,"clock_position":1432,"value":743},{"alpha_index":1760,"clock_position":1760,"value":373}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-121","alpha_indices":[121,449,777,1105,1433,1761],"clock_positions":[121,449,777,1105,1433,1761],"native_values":[557,85,511,426,898,472],"rotation_degrees":22.134146341463413,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":121,"clock_position":121,"value":557},{"alpha_index":449,"clock_position":449,"value":85},{"alpha_index":777,"clock_position":777,"value":511},{"alpha_index":1105,"clock_position":1105,"value":426},{"alpha_index":1433,"clock_position":1433,"value":898},{"alpha_index":1761,"clock_position":1761,"value":472}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-122","alpha_indices":[122,450,778,1106,1434,1762],"clock_positions":[122,450,778,1106,1434,1762],"native_values":[187,325,138,796,658,845],"rotation_degrees":22.317073170731707,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":122,"clock_position":122,"value":187},{"alpha_index":450,"clock_position":450,"value":325},{"alpha_index":778,"clock_position":778,"value":138},{"alpha_index":1106,"clock_position":1106,"value":796},{"alpha_index":1434,"clock_position":1434,"value":658},{"alpha_index":1762,"clock_position":1762,"value":845}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-123","alpha_indices":[123,451,779,1107,1435,1763],"clock_positions":[123,451,779,1107,1435,1763],"native_values":[744,410,649,239,573,334],"rotation_degrees":22.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":123,"clock_position":123,"value":744},{"alpha_index":451,"clock_position":451,"value":410},{"alpha_index":779,"clock_position":779,"value":649},{"alpha_index":1107,"clock_position":1107,"value":239},{"alpha_index":1435,"clock_position":1435,"value":573},{"alpha_index":1763,"clock_position":1763,"value":334}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-124","alpha_indices":[124,452,780,1108,1436,1764],"clock_positions":[124,452,780,1108,1436,1764],"native_values":[931,735,787,52,248,196],"rotation_degrees":22.682926829268293,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":124,"clock_position":124,"value":931},{"alpha_index":452,"clock_position":452,"value":735},{"alpha_index":780,"clock_position":780,"value":787},{"alpha_index":1108,"clock_position":1108,"value":52},{"alpha_index":1436,"clock_position":1436,"value":248},{"alpha_index":1764,"clock_position":1764,"value":196}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-125","alpha_indices":[125,453,781,1109,1437,1765],"clock_positions":[125,453,781,1109,1437,1765],"native_values":[692,162,453,291,821,530],"rotation_degrees":22.865853658536587,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":125,"clock_position":125,"value":692},{"alpha_index":453,"clock_position":453,"value":162},{"alpha_index":781,"clock_position":781,"value":453},{"alpha_index":1109,"clock_position":1109,"value":291},{"alpha_index":1437,"clock_position":1437,"value":821},{"alpha_index":1765,"clock_position":1765,"value":530}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-126","alpha_indices":[126,454,782,1110,1438,1766],"clock_positions":[126,454,782,1110,1438,1766],"native_values":[640,897,257,343,86,726],"rotation_degrees":23.048780487804876,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":126,"clock_position":126,"value":640},{"alpha_index":454,"clock_position":454,"value":897},{"alpha_index":782,"clock_position":782,"value":257},{"alpha_index":1110,"clock_position":1110,"value":343},{"alpha_index":1438,"clock_position":1438,"value":86},{"alpha_index":1766,"clock_position":1766,"value":726}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-127","alpha_indices":[127,455,783,1111,1439,1767],"clock_positions":[127,455,783,1111,1439,1767],"native_values":[349,76,710,634,907,273],"rotation_degrees":23.23170731707317,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":127,"clock_position":127,"value":349},{"alpha_index":455,"clock_position":455,"value":76},{"alpha_index":783,"clock_position":783,"value":710},{"alpha_index":1111,"clock_position":1111,"value":634},{"alpha_index":1439,"clock_position":1439,"value":907},{"alpha_index":1767,"clock_position":1767,"value":273}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-128","alpha_indices":[128,456,784,1112,1440,1768],"clock_positions":[128,456,784,1112,1440,1768],"native_values":[6,973,967,977,10,16],"rotation_degrees":23.414634146341463,"missing_required_values":[3,9],"failing_nodes":[{"alpha_index":456,"clock_position":456,"value":973},{"alpha_index":784,"clock_position":784,"value":967},{"alpha_index":1112,"clock_position":1112,"value":977},{"alpha_index":1440,"clock_position":1440,"value":10},{"alpha_index":1768,"clock_position":1768,"value":16}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-129","alpha_indices":[129,457,785,1113,1441,1769],"clock_positions":[129,457,785,1113,1441,1769],"native_values":[355,66,694,628,917,289],"rotation_degrees":23.597560975609756,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":129,"clock_position":129,"value":355},{"alpha_index":457,"clock_position":457,"value":66},{"alpha_index":785,"clock_position":785,"value":694},{"alpha_index":1113,"clock_position":1113,"value":628},{"alpha_index":1441,"clock_position":1441,"value":917},{"alpha_index":1769,"clock_position":1769,"value":289}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-130","alpha_indices":[130,458,786,1114,1442,1770],"clock_positions":[130,458,786,1114,1442,1770],"native_values":[361,56,678,622,927,305],"rotation_degrees":23.78048780487805,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":130,"clock_position":130,"value":361},{"alpha_index":458,"clock_position":458,"value":56},{"alpha_index":786,"clock_position":786,"value":678},{"alpha_index":1114,"clock_position":1114,"value":622},{"alpha_index":1442,"clock_position":1442,"value":927},{"alpha_index":1770,"clock_position":1770,"value":305}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-131","alpha_indices":[131,459,787,1115,1443,1771],"clock_positions":[131,459,787,1115,1443,1771],"native_values":[716,122,389,267,861,594],"rotation_degrees":23.963414634146343,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":131,"clock_position":131,"value":716},{"alpha_index":459,"clock_position":459,"value":122},{"alpha_index":787,"clock_position":787,"value":389},{"alpha_index":1115,"clock_position":1115,"value":267},{"alpha_index":1443,"clock_position":1443,"value":861},{"alpha_index":1771,"clock_position":1771,"value":594}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-132","alpha_indices":[132,460,788,1116,1444,1772],"clock_positions":[132,460,788,1116,1444,1772],"native_values":[94,178,84,889,805,899],"rotation_degrees":24.146341463414632,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":132,"clock_position":132,"value":94},{"alpha_index":460,"clock_position":460,"value":178},{"alpha_index":788,"clock_position":788,"value":84},{"alpha_index":1116,"clock_position":1116,"value":889},{"alpha_index":1444,"clock_position":1444,"value":805},{"alpha_index":1772,"clock_position":1772,"value":899}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-133","alpha_indices":[133,461,789,1117,1445,1773],"clock_positions":[133,461,789,1117,1445,1773],"native_values":[810,300,473,173,683,510],"rotation_degrees":24.329268292682926,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":133,"clock_position":133,"value":810},{"alpha_index":461,"clock_position":461,"value":300},{"alpha_index":789,"clock_position":789,"value":473},{"alpha_index":1117,"clock_position":1117,"value":173},{"alpha_index":1445,"clock_position":1445,"value":683},{"alpha_index":1773,"clock_position":1773,"value":510}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-134","alpha_indices":[134,462,790,1118,1446,1774],"clock_positions":[134,462,790,1118,1446,1774],"native_values":[904,478,557,79,505,426],"rotation_degrees":24.51219512195122,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":134,"clock_position":134,"value":904},{"alpha_index":462,"clock_position":462,"value":478},{"alpha_index":790,"clock_position":790,"value":557},{"alpha_index":1118,"clock_position":1118,"value":79},{"alpha_index":1446,"clock_position":1446,"value":505},{"alpha_index":1774,"clock_position":1774,"value":426}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-135","alpha_indices":[135,463,791,1119,1447,1775],"clock_positions":[135,463,791,1119,1447,1775],"native_values":[731,778,47,252,205,936],"rotation_degrees":24.695121951219512,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":135,"clock_position":135,"value":731},{"alpha_index":463,"clock_position":463,"value":778},{"alpha_index":791,"clock_position":791,"value":47},{"alpha_index":1119,"clock_position":1119,"value":252},{"alpha_index":1447,"clock_position":1447,"value":205},{"alpha_index":1775,"clock_position":1775,"value":936}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-136","alpha_indices":[136,464,792,1120,1448,1776],"clock_positions":[136,464,792,1120,1448,1776],"native_values":[652,273,604,331,710,379],"rotation_degrees":24.878048780487806,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":136,"clock_position":136,"value":652},{"alpha_index":464,"clock_position":464,"value":273},{"alpha_index":792,"clock_position":792,"value":604},{"alpha_index":1120,"clock_position":1120,"value":331},{"alpha_index":1448,"clock_position":1448,"value":710},{"alpha_index":1776,"clock_position":1776,"value":379}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-137","alpha_indices":[137,465,793,1121,1449,1777],"clock_positions":[137,465,793,1121,1449,1777],"native_values":[400,68,651,583,915,332],"rotation_degrees":25.0609756097561,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":137,"clock_position":137,"value":400},{"alpha_index":465,"clock_position":465,"value":68},{"alpha_index":793,"clock_position":793,"value":651},{"alpha_index":1121,"clock_position":1121,"value":583},{"alpha_index":1449,"clock_position":1449,"value":915},{"alpha_index":1777,"clock_position":1777,"value":332}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-138","alpha_indices":[138,466,794,1122,1450,1778],"clock_positions":[138,466,794,1122,1450,1778],"native_values":[69,341,272,914,642,711],"rotation_degrees":25.24390243902439,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":138,"clock_position":138,"value":69},{"alpha_index":466,"clock_position":466,"value":341},{"alpha_index":794,"clock_position":794,"value":272},{"alpha_index":1122,"clock_position":1122,"value":914},{"alpha_index":1450,"clock_position":1450,"value":642},{"alpha_index":1778,"clock_position":1778,"value":711}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-139","alpha_indices":[139,467,795,1123,1451,1779],"clock_positions":[139,467,795,1123,1451,1779],"native_values":[469,409,923,514,574,60],"rotation_degrees":25.426829268292682,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":139,"clock_position":139,"value":469},{"alpha_index":467,"clock_position":467,"value":409},{"alpha_index":795,"clock_position":795,"value":923},{"alpha_index":1123,"clock_position":1123,"value":514},{"alpha_index":1451,"clock_position":1451,"value":574},{"alpha_index":1779,"clock_position":1779,"value":60}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-140","alpha_indices":[140,468,796,1124,1452,1780],"clock_positions":[140,468,796,1124,1452,1780],"native_values":[538,750,212,445,233,771],"rotation_degrees":25.609756097560975,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":140,"clock_position":140,"value":538},{"alpha_index":468,"clock_position":468,"value":750},{"alpha_index":796,"clock_position":796,"value":212},{"alpha_index":1124,"clock_position":1124,"value":445},{"alpha_index":1452,"clock_position":1452,"value":233},{"alpha_index":1780,"clock_position":1780,"value":771}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-141","alpha_indices":[141,469,797,1125,1453,1781],"clock_positions":[141,469,797,1125,1453,1781],"native_values":[24,176,152,959,807,831],"rotation_degrees":25.79268292682927,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":141,"clock_position":141,"value":24},{"alpha_index":469,"clock_position":469,"value":176},{"alpha_index":797,"clock_position":797,"value":152},{"alpha_index":1125,"clock_position":1125,"value":959},{"alpha_index":1453,"clock_position":1453,"value":807},{"alpha_index":1781,"clock_position":1781,"value":831}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-142","alpha_indices":[142,470,798,1126,1454,1782],"clock_positions":[142,470,798,1126,1454,1782],"native_values":[562,926,364,421,57,619],"rotation_degrees":25.975609756097562,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":142,"clock_position":142,"value":562},{"alpha_index":470,"clock_position":470,"value":926},{"alpha_index":798,"clock_position":798,"value":364},{"alpha_index":1126,"clock_position":1126,"value":421},{"alpha_index":1454,"clock_position":1454,"value":57},{"alpha_index":1782,"clock_position":1782,"value":619}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-143","alpha_indices":[143,471,799,1127,1455,1783],"clock_positions":[143,471,799,1127,1455,1783],"native_values":[586,119,516,397,864,467],"rotation_degrees":26.158536585365855,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":143,"clock_position":143,"value":586},{"alpha_index":471,"clock_position":471,"value":119},{"alpha_index":799,"clock_position":799,"value":516},{"alpha_index":1127,"clock_position":1127,"value":397},{"alpha_index":1455,"clock_position":1455,"value":864},{"alpha_index":1783,"clock_position":1783,"value":467}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-144","alpha_indices":[144,472,800,1128,1456,1784],"clock_positions":[144,472,800,1128,1456,1784],"native_values":[165,62,880,818,921,103],"rotation_degrees":26.341463414634145,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":144,"clock_position":144,"value":165},{"alpha_index":472,"clock_position":472,"value":62},{"alpha_index":800,"clock_position":800,"value":880},{"alpha_index":1128,"clock_position":1128,"value":818},{"alpha_index":1456,"clock_position":1456,"value":921},{"alpha_index":1784,"clock_position":1784,"value":103}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-145","alpha_indices":[145,473,801,1129,1457,1785],"clock_positions":[145,473,801,1129,1457,1785],"native_values":[751,181,413,232,802,570],"rotation_degrees":26.524390243902438,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":145,"clock_position":145,"value":751},{"alpha_index":473,"clock_position":473,"value":181},{"alpha_index":801,"clock_position":801,"value":413},{"alpha_index":1129,"clock_position":1129,"value":232},{"alpha_index":1457,"clock_position":1457,"value":802},{"alpha_index":1785,"clock_position":1785,"value":570}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-146","alpha_indices":[146,474,802,1130,1458,1786],"clock_positions":[146,474,802,1130,1458,1786],"native_values":[916,243,310,67,740,673],"rotation_degrees":26.70731707317073,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":146,"clock_position":146,"value":916},{"alpha_index":474,"clock_position":474,"value":243},{"alpha_index":802,"clock_position":802,"value":310},{"alpha_index":1130,"clock_position":1130,"value":67},{"alpha_index":1458,"clock_position":1458,"value":740},{"alpha_index":1786,"clock_position":1786,"value":673}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-147","alpha_indices":[147,475,803,1131,1459,1787],"clock_positions":[147,475,803,1131,1459,1787],"native_values":[684,424,723,299,559,260],"rotation_degrees":26.890243902439025,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":147,"clock_position":147,"value":684},{"alpha_index":475,"clock_position":475,"value":424},{"alpha_index":803,"clock_position":803,"value":723},{"alpha_index":1131,"clock_position":1131,"value":299},{"alpha_index":1459,"clock_position":1459,"value":559},{"alpha_index":1787,"clock_position":1787,"value":260}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-148","alpha_indices":[148,476,804,1132,1460,1788],"clock_positions":[148,476,804,1132,1460,1788],"native_values":[617,667,50,366,316,933],"rotation_degrees":27.073170731707318,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":148,"clock_position":148,"value":617},{"alpha_index":476,"clock_position":476,"value":667},{"alpha_index":804,"clock_position":804,"value":50},{"alpha_index":1132,"clock_position":1132,"value":366},{"alpha_index":1460,"clock_position":1460,"value":316},{"alpha_index":1788,"clock_position":1788,"value":933}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-149","alpha_indices":[149,477,805,1133,1461,1789],"clock_positions":[149,477,805,1133,1461,1789],"native_values":[318,108,773,665,875,210],"rotation_degrees":27.25609756097561,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":149,"clock_position":149,"value":318},{"alpha_index":477,"clock_position":477,"value":108},{"alpha_index":805,"clock_position":805,"value":773},{"alpha_index":1133,"clock_position":1133,"value":665},{"alpha_index":1461,"clock_position":1461,"value":875},{"alpha_index":1789,"clock_position":1789,"value":210}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-150","alpha_indices":[150,478,806,1134,1462,1790],"clock_positions":[150,478,806,1134,1462,1790],"native_values":[935,775,823,48,208,160],"rotation_degrees":27.4390243902439,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":150,"clock_position":150,"value":935},{"alpha_index":478,"clock_position":478,"value":775},{"alpha_index":806,"clock_position":806,"value":823},{"alpha_index":1134,"clock_position":1134,"value":48},{"alpha_index":1462,"clock_position":1462,"value":208},{"alpha_index":1790,"clock_position":1790,"value":160}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-151","alpha_indices":[151,479,807,1135,1463,1791],"clock_positions":[151,479,807,1135,1463,1791],"native_values":[270,883,613,713,100,370],"rotation_degrees":27.621951219512194,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":151,"clock_position":151,"value":270},{"alpha_index":479,"clock_position":479,"value":883},{"alpha_index":807,"clock_position":807,"value":613},{"alpha_index":1135,"clock_position":1135,"value":713},{"alpha_index":1463,"clock_position":1463,"value":100},{"alpha_index":1791,"clock_position":1791,"value":370}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-152","alpha_indices":[152,480,808,1136,1464,1792],"clock_positions":[152,480,808,1136,1464,1792],"native_values":[222,675,453,761,308,530],"rotation_degrees":27.804878048780488,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":152,"clock_position":152,"value":222},{"alpha_index":480,"clock_position":480,"value":675},{"alpha_index":808,"clock_position":808,"value":453},{"alpha_index":1136,"clock_position":1136,"value":761},{"alpha_index":1464,"clock_position":1464,"value":308},{"alpha_index":1792,"clock_position":1792,"value":530}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-153","alpha_indices":[153,481,809,1137,1465,1793],"clock_positions":[153,481,809,1137,1465,1793],"native_values":[492,575,83,491,408,900],"rotation_degrees":27.98780487804878,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":153,"clock_position":153,"value":492},{"alpha_index":481,"clock_position":481,"value":575},{"alpha_index":809,"clock_position":809,"value":83},{"alpha_index":1137,"clock_position":1137,"value":491},{"alpha_index":1465,"clock_position":1465,"value":408},{"alpha_index":1793,"clock_position":1793,"value":900}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-154","alpha_indices":[154,482,810,1138,1466,1794],"clock_positions":[154,482,810,1138,1466,1794],"native_values":[714,267,536,269,716,447],"rotation_degrees":28.170731707317074,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":154,"clock_position":154,"value":714},{"alpha_index":482,"clock_position":482,"value":267},{"alpha_index":810,"clock_position":810,"value":536},{"alpha_index":1138,"clock_position":1138,"value":269},{"alpha_index":1466,"clock_position":1466,"value":716},{"alpha_index":1794,"clock_position":1794,"value":447}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-155","alpha_indices":[155,483,811,1139,1467,1795],"clock_positions":[155,483,811,1139,1467,1795],"native_values":[223,842,619,760,141,364],"rotation_degrees":28.353658536585368,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":155,"clock_position":155,"value":223},{"alpha_index":483,"clock_position":483,"value":842},{"alpha_index":811,"clock_position":811,"value":619},{"alpha_index":1139,"clock_position":1139,"value":760},{"alpha_index":1467,"clock_position":1467,"value":141},{"alpha_index":1795,"clock_position":1795,"value":364}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-156","alpha_indices":[156,484,812,1140,1468,1796],"clock_positions":[156,484,812,1140,1468,1796],"native_values":[937,126,172,46,857,811],"rotation_degrees":28.536585365853657,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":156,"clock_position":156,"value":937},{"alpha_index":484,"clock_position":484,"value":126},{"alpha_index":812,"clock_position":812,"value":172},{"alpha_index":1140,"clock_position":1140,"value":46},{"alpha_index":1468,"clock_position":1468,"value":857},{"alpha_index":1796,"clock_position":1796,"value":811}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-157","alpha_indices":[157,485,813,1141,1469,1797],"clock_positions":[157,485,813,1141,1469,1797],"native_values":[177,968,791,806,15,192],"rotation_degrees":28.71951219512195,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":157,"clock_position":157,"value":177},{"alpha_index":485,"clock_position":485,"value":968},{"alpha_index":813,"clock_position":813,"value":791},{"alpha_index":1141,"clock_position":1141,"value":806},{"alpha_index":1469,"clock_position":1469,"value":15},{"alpha_index":1797,"clock_position":1797,"value":192}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-158","alpha_indices":[158,486,814,1142,1470,1798],"clock_positions":[158,486,814,1142,1470,1798],"native_values":[131,111,963,852,872,20],"rotation_degrees":28.902439024390244,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":158,"clock_position":158,"value":131},{"alpha_index":486,"clock_position":486,"value":111},{"alpha_index":814,"clock_position":814,"value":963},{"alpha_index":1142,"clock_position":1142,"value":852},{"alpha_index":1470,"clock_position":1470,"value":872},{"alpha_index":1798,"clock_position":1798,"value":20}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-159","alpha_indices":[159,487,815,1143,1471,1799],"clock_positions":[159,487,815,1143,1471,1799],"native_values":[308,96,771,675,887,212],"rotation_degrees":29.085365853658537,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":159,"clock_position":159,"value":308},{"alpha_index":487,"clock_position":487,"value":96},{"alpha_index":815,"clock_position":815,"value":771},{"alpha_index":1143,"clock_position":1143,"value":675},{"alpha_index":1471,"clock_position":1471,"value":887},{"alpha_index":1799,"clock_position":1799,"value":212}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-160","alpha_indices":[160,488,816,1144,1472,1800],"clock_positions":[160,488,816,1144,1472,1800],"native_values":[439,207,751,544,776,232],"rotation_degrees":29.26829268292683,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":160,"clock_position":160,"value":439},{"alpha_index":488,"clock_position":488,"value":207},{"alpha_index":816,"clock_position":816,"value":751},{"alpha_index":1144,"clock_position":1144,"value":544},{"alpha_index":1472,"clock_position":1472,"value":776},{"alpha_index":1800,"clock_position":1800,"value":232}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-161","alpha_indices":[161,489,817,1145,1473,1801],"clock_positions":[161,489,817,1145,1473,1801],"native_values":[747,303,539,236,680,444],"rotation_degrees":29.451219512195124,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":161,"clock_position":161,"value":747},{"alpha_index":489,"clock_position":489,"value":303},{"alpha_index":817,"clock_position":817,"value":539},{"alpha_index":1145,"clock_position":1145,"value":236},{"alpha_index":1473,"clock_position":1473,"value":680},{"alpha_index":1801,"clock_position":1801,"value":444}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-162","alpha_indices":[162,490,818,1146,1474,1802],"clock_positions":[162,490,818,1146,1474,1802],"native_values":[203,510,307,780,473,676],"rotation_degrees":29.634146341463413,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":162,"clock_position":162,"value":203},{"alpha_index":490,"clock_position":490,"value":510},{"alpha_index":818,"clock_position":818,"value":307},{"alpha_index":1146,"clock_position":1146,"value":780},{"alpha_index":1474,"clock_position":1474,"value":473},{"alpha_index":1802,"clock_position":1802,"value":676}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-163","alpha_indices":[163,491,819,1147,1475,1803],"clock_positions":[163,491,819,1147,1475,1803],"native_values":[950,813,846,33,170,137],"rotation_degrees":29.817073170731707,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":163,"clock_position":163,"value":950},{"alpha_index":491,"clock_position":491,"value":813},{"alpha_index":819,"clock_position":819,"value":846},{"alpha_index":1147,"clock_position":1147,"value":33},{"alpha_index":1475,"clock_position":1475,"value":170},{"alpha_index":1803,"clock_position":1803,"value":137}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-164","alpha_indices":[164,492,820,1148,1476,1804],"clock_positions":[164,492,820,1148,1476,1804],"native_values":[170,340,170,813,643,813],"rotation_degrees":30.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":164,"clock_position":164,"value":170},{"alpha_index":492,"clock_position":492,"value":340},{"alpha_index":820,"clock_position":820,"value":170},{"alpha_index":1148,"clock_position":1148,"value":813},{"alpha_index":1476,"clock_position":1476,"value":643},{"alpha_index":1804,"clock_position":1804,"value":813}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-165","alpha_indices":[165,493,821,1149,1477,1805],"clock_positions":[165,493,821,1149,1477,1805],"native_values":[137,170,33,846,813,950],"rotation_degrees":30.182926829268293,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":165,"clock_position":165,"value":137},{"alpha_index":493,"clock_position":493,"value":170},{"alpha_index":821,"clock_position":821,"value":33},{"alpha_index":1149,"clock_position":1149,"value":846},{"alpha_index":1477,"clock_position":1477,"value":813},{"alpha_index":1805,"clock_position":1805,"value":950}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-166","alpha_indices":[166,494,822,1150,1478,1806],"clock_positions":[166,494,822,1150,1478,1806],"native_values":[307,510,203,676,473,780],"rotation_degrees":30.365853658536587,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":166,"clock_position":166,"value":307},{"alpha_index":494,"clock_position":494,"value":510},{"alpha_index":822,"clock_position":822,"value":203},{"alpha_index":1150,"clock_position":1150,"value":676},{"alpha_index":1478,"clock_position":1478,"value":473},{"alpha_index":1806,"clock_position":1806,"value":780}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-167","alpha_indices":[167,495,823,1151,1479,1807],"clock_positions":[167,495,823,1151,1479,1807],"native_values":[444,680,236,539,303,747],"rotation_degrees":30.548780487804876,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":167,"clock_position":167,"value":444},{"alpha_index":495,"clock_position":495,"value":680},{"alpha_index":823,"clock_position":823,"value":236},{"alpha_index":1151,"clock_position":1151,"value":539},{"alpha_index":1479,"clock_position":1479,"value":303},{"alpha_index":1807,"clock_position":1807,"value":747}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-168","alpha_indices":[168,496,824,1152,1480,1808],"clock_positions":[168,496,824,1152,1480,1808],"native_values":[751,207,439,232,776,544],"rotation_degrees":30.73170731707317,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":168,"clock_position":168,"value":751},{"alpha_index":496,"clock_position":496,"value":207},{"alpha_index":824,"clock_position":824,"value":439},{"alpha_index":1152,"clock_position":1152,"value":232},{"alpha_index":1480,"clock_position":1480,"value":776},{"alpha_index":1808,"clock_position":1808,"value":544}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-169","alpha_indices":[169,497,825,1153,1481,1809],"clock_positions":[169,497,825,1153,1481,1809],"native_values":[212,887,675,771,96,308],"rotation_degrees":30.914634146341463,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":169,"clock_position":169,"value":212},{"alpha_index":497,"clock_position":497,"value":887},{"alpha_index":825,"clock_position":825,"value":675},{"alpha_index":1153,"clock_position":1153,"value":771},{"alpha_index":1481,"clock_position":1481,"value":96},{"alpha_index":1809,"clock_position":1809,"value":308}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-170","alpha_indices":[170,498,826,1154,1482,1810],"clock_positions":[170,498,826,1154,1482,1810],"native_values":[963,111,131,20,872,852],"rotation_degrees":31.097560975609756,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":170,"clock_position":170,"value":963},{"alpha_index":498,"clock_position":498,"value":111},{"alpha_index":826,"clock_position":826,"value":131},{"alpha_index":1154,"clock_position":1154,"value":20},{"alpha_index":1482,"clock_position":1482,"value":872},{"alpha_index":1810,"clock_position":1810,"value":852}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-171","alpha_indices":[171,499,827,1155,1483,1811],"clock_positions":[171,499,827,1155,1483,1811],"native_values":[192,15,806,791,968,177],"rotation_degrees":31.28048780487805,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":171,"clock_position":171,"value":192},{"alpha_index":499,"clock_position":499,"value":15},{"alpha_index":827,"clock_position":827,"value":806},{"alpha_index":1155,"clock_position":1155,"value":791},{"alpha_index":1483,"clock_position":1483,"value":968},{"alpha_index":1811,"clock_position":1811,"value":177}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-172","alpha_indices":[172,500,828,1156,1484,1812],"clock_positions":[172,500,828,1156,1484,1812],"native_values":[172,126,937,811,857,46],"rotation_degrees":31.463414634146343,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":172,"clock_position":172,"value":172},{"alpha_index":500,"clock_position":500,"value":126},{"alpha_index":828,"clock_position":828,"value":937},{"alpha_index":1156,"clock_position":1156,"value":811},{"alpha_index":1484,"clock_position":1484,"value":857},{"alpha_index":1812,"clock_position":1812,"value":46}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-173","alpha_indices":[173,501,829,1157,1485,1813],"clock_positions":[173,501,829,1157,1485,1813],"native_values":[364,141,760,619,842,223],"rotation_degrees":31.646341463414632,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":173,"clock_position":173,"value":364},{"alpha_index":501,"clock_position":501,"value":141},{"alpha_index":829,"clock_position":829,"value":760},{"alpha_index":1157,"clock_position":1157,"value":619},{"alpha_index":1485,"clock_position":1485,"value":842},{"alpha_index":1813,"clock_position":1813,"value":223}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-174","alpha_indices":[174,502,830,1158,1486,1814],"clock_positions":[174,502,830,1158,1486,1814],"native_values":[536,267,714,447,716,269],"rotation_degrees":31.829268292682926,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":174,"clock_position":174,"value":536},{"alpha_index":502,"clock_position":502,"value":267},{"alpha_index":830,"clock_position":830,"value":714},{"alpha_index":1158,"clock_position":1158,"value":447},{"alpha_index":1486,"clock_position":1486,"value":716},{"alpha_index":1814,"clock_position":1814,"value":269}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-175","alpha_indices":[175,503,831,1159,1487,1815],"clock_positions":[175,503,831,1159,1487,1815],"native_values":[900,408,491,83,575,492],"rotation_degrees":32.01219512195122,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":175,"clock_position":175,"value":900},{"alpha_index":503,"clock_position":503,"value":408},{"alpha_index":831,"clock_position":831,"value":491},{"alpha_index":1159,"clock_position":1159,"value":83},{"alpha_index":1487,"clock_position":1487,"value":575},{"alpha_index":1815,"clock_position":1815,"value":492}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-176","alpha_indices":[176,504,832,1160,1488,1816],"clock_positions":[176,504,832,1160,1488,1816],"native_values":[453,675,222,530,308,761],"rotation_degrees":32.19512195121951,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":176,"clock_position":176,"value":453},{"alpha_index":504,"clock_position":504,"value":675},{"alpha_index":832,"clock_position":832,"value":222},{"alpha_index":1160,"clock_position":1160,"value":530},{"alpha_index":1488,"clock_position":1488,"value":308},{"alpha_index":1816,"clock_position":1816,"value":761}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-177","alpha_indices":[177,505,833,1161,1489,1817],"clock_positions":[177,505,833,1161,1489,1817],"native_values":[370,100,713,613,883,270],"rotation_degrees":32.3780487804878,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":177,"clock_position":177,"value":370},{"alpha_index":505,"clock_position":505,"value":100},{"alpha_index":833,"clock_position":833,"value":713},{"alpha_index":1161,"clock_position":1161,"value":613},{"alpha_index":1489,"clock_position":1489,"value":883},{"alpha_index":1817,"clock_position":1817,"value":270}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-178","alpha_indices":[178,506,834,1162,1490,1818],"clock_positions":[178,506,834,1162,1490,1818],"native_values":[823,775,935,160,208,48],"rotation_degrees":32.5609756097561,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":178,"clock_position":178,"value":823},{"alpha_index":506,"clock_position":506,"value":775},{"alpha_index":834,"clock_position":834,"value":935},{"alpha_index":1162,"clock_position":1162,"value":160},{"alpha_index":1490,"clock_position":1490,"value":208},{"alpha_index":1818,"clock_position":1818,"value":48}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-179","alpha_indices":[179,507,835,1163,1491,1819],"clock_positions":[179,507,835,1163,1491,1819],"native_values":[210,875,665,773,108,318],"rotation_degrees":32.74390243902439,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":179,"clock_position":179,"value":210},{"alpha_index":507,"clock_position":507,"value":875},{"alpha_index":835,"clock_position":835,"value":665},{"alpha_index":1163,"clock_position":1163,"value":773},{"alpha_index":1491,"clock_position":1491,"value":108},{"alpha_index":1819,"clock_position":1819,"value":318}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-180","alpha_indices":[180,508,836,1164,1492,1820],"clock_positions":[180,508,836,1164,1492,1820],"native_values":[50,667,617,933,316,366],"rotation_degrees":32.926829268292686,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":180,"clock_position":180,"value":50},{"alpha_index":508,"clock_position":508,"value":667},{"alpha_index":836,"clock_position":836,"value":617},{"alpha_index":1164,"clock_position":1164,"value":933},{"alpha_index":1492,"clock_position":1492,"value":316},{"alpha_index":1820,"clock_position":1820,"value":366}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-181","alpha_indices":[181,509,837,1165,1493,1821],"clock_positions":[181,509,837,1165,1493,1821],"native_values":[260,559,299,723,424,684],"rotation_degrees":33.109756097560975,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":181,"clock_position":181,"value":260},{"alpha_index":509,"clock_position":509,"value":559},{"alpha_index":837,"clock_position":837,"value":299},{"alpha_index":1165,"clock_position":1165,"value":723},{"alpha_index":1493,"clock_position":1493,"value":424},{"alpha_index":1821,"clock_position":1821,"value":684}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-182","alpha_indices":[182,510,838,1166,1494,1822],"clock_positions":[182,510,838,1166,1494,1822],"native_values":[310,243,916,673,740,67],"rotation_degrees":33.292682926829265,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":182,"clock_position":182,"value":310},{"alpha_index":510,"clock_position":510,"value":243},{"alpha_index":838,"clock_position":838,"value":916},{"alpha_index":1166,"clock_position":1166,"value":673},{"alpha_index":1494,"clock_position":1494,"value":740},{"alpha_index":1822,"clock_position":1822,"value":67}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-183","alpha_indices":[183,511,839,1167,1495,1823],"clock_positions":[183,511,839,1167,1495,1823],"native_values":[570,802,232,413,181,751],"rotation_degrees":33.47560975609756,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":183,"clock_position":183,"value":570},{"alpha_index":511,"clock_position":511,"value":802},{"alpha_index":839,"clock_position":839,"value":232},{"alpha_index":1167,"clock_position":1167,"value":413},{"alpha_index":1495,"clock_position":1495,"value":181},{"alpha_index":1823,"clock_position":1823,"value":751}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-184","alpha_indices":[184,512,840,1168,1496,1824],"clock_positions":[184,512,840,1168,1496,1824],"native_values":[880,62,165,103,921,818],"rotation_degrees":33.65853658536585,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":184,"clock_position":184,"value":880},{"alpha_index":512,"clock_position":512,"value":62},{"alpha_index":840,"clock_position":840,"value":165},{"alpha_index":1168,"clock_position":1168,"value":103},{"alpha_index":1496,"clock_position":1496,"value":921},{"alpha_index":1824,"clock_position":1824,"value":818}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-185","alpha_indices":[185,513,841,1169,1497,1825],"clock_positions":[185,513,841,1169,1497,1825],"native_values":[467,864,397,516,119,586],"rotation_degrees":33.84146341463415,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":185,"clock_position":185,"value":467},{"alpha_index":513,"clock_position":513,"value":864},{"alpha_index":841,"clock_position":841,"value":397},{"alpha_index":1169,"clock_position":1169,"value":516},{"alpha_index":1497,"clock_position":1497,"value":119},{"alpha_index":1825,"clock_position":1825,"value":586}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-186","alpha_indices":[186,514,842,1170,1498,1826],"clock_positions":[186,514,842,1170,1498,1826],"native_values":[364,926,562,619,57,421],"rotation_degrees":34.02439024390244,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":186,"clock_position":186,"value":364},{"alpha_index":514,"clock_position":514,"value":926},{"alpha_index":842,"clock_position":842,"value":562},{"alpha_index":1170,"clock_position":1170,"value":619},{"alpha_index":1498,"clock_position":1498,"value":57},{"alpha_index":1826,"clock_position":1826,"value":421}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-187","alpha_indices":[187,515,843,1171,1499,1827],"clock_positions":[187,515,843,1171,1499,1827],"native_values":[831,807,959,152,176,24],"rotation_degrees":34.207317073170735,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":187,"clock_position":187,"value":831},{"alpha_index":515,"clock_position":515,"value":807},{"alpha_index":843,"clock_position":843,"value":959},{"alpha_index":1171,"clock_position":1171,"value":152},{"alpha_index":1499,"clock_position":1499,"value":176},{"alpha_index":1827,"clock_position":1827,"value":24}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-188","alpha_indices":[188,516,844,1172,1500,1828],"clock_positions":[188,516,844,1172,1500,1828],"native_values":[212,750,538,771,233,445],"rotation_degrees":34.390243902439025,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":188,"clock_position":188,"value":212},{"alpha_index":516,"clock_position":516,"value":750},{"alpha_index":844,"clock_position":844,"value":538},{"alpha_index":1172,"clock_position":1172,"value":771},{"alpha_index":1500,"clock_position":1500,"value":233},{"alpha_index":1828,"clock_position":1828,"value":445}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-189","alpha_indices":[189,517,845,1173,1501,1829],"clock_positions":[189,517,845,1173,1501,1829],"native_values":[60,574,514,923,409,469],"rotation_degrees":34.573170731707314,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":189,"clock_position":189,"value":60},{"alpha_index":517,"clock_position":517,"value":574},{"alpha_index":845,"clock_position":845,"value":514},{"alpha_index":1173,"clock_position":1173,"value":923},{"alpha_index":1501,"clock_position":1501,"value":409},{"alpha_index":1829,"clock_position":1829,"value":469}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-190","alpha_indices":[190,518,846,1174,1502,1830],"clock_positions":[190,518,846,1174,1502,1830],"native_values":[272,341,69,711,642,914],"rotation_degrees":34.75609756097561,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":190,"clock_position":190,"value":272},{"alpha_index":518,"clock_position":518,"value":341},{"alpha_index":846,"clock_position":846,"value":69},{"alpha_index":1174,"clock_position":1174,"value":711},{"alpha_index":1502,"clock_position":1502,"value":642},{"alpha_index":1830,"clock_position":1830,"value":914}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-191","alpha_indices":[191,519,847,1175,1503,1831],"clock_positions":[191,519,847,1175,1503,1831],"native_values":[332,915,583,651,68,400],"rotation_degrees":34.9390243902439,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":191,"clock_position":191,"value":332},{"alpha_index":519,"clock_position":519,"value":915},{"alpha_index":847,"clock_position":847,"value":583},{"alpha_index":1175,"clock_position":1175,"value":651},{"alpha_index":1503,"clock_position":1503,"value":68},{"alpha_index":1831,"clock_position":1831,"value":400}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-192","alpha_indices":[192,520,848,1176,1504,1832],"clock_positions":[192,520,848,1176,1504,1832],"native_values":[604,273,652,379,710,331],"rotation_degrees":35.1219512195122,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":192,"clock_position":192,"value":604},{"alpha_index":520,"clock_position":520,"value":273},{"alpha_index":848,"clock_position":848,"value":652},{"alpha_index":1176,"clock_position":1176,"value":379},{"alpha_index":1504,"clock_position":1504,"value":710},{"alpha_index":1832,"clock_position":1832,"value":331}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-193","alpha_indices":[193,521,849,1177,1505,1833],"clock_positions":[193,521,849,1177,1505,1833],"native_values":[936,205,252,47,778,731],"rotation_degrees":35.30487804878049,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":193,"clock_position":193,"value":936},{"alpha_index":521,"clock_position":521,"value":205},{"alpha_index":849,"clock_position":849,"value":252},{"alpha_index":1177,"clock_position":1177,"value":47},{"alpha_index":1505,"clock_position":1505,"value":778},{"alpha_index":1833,"clock_position":1833,"value":731}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-194","alpha_indices":[194,522,850,1178,1506,1834],"clock_positions":[194,522,850,1178,1506,1834],"native_values":[557,478,904,426,505,79],"rotation_degrees":35.48780487804878,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":194,"clock_position":194,"value":557},{"alpha_index":522,"clock_position":522,"value":478},{"alpha_index":850,"clock_position":850,"value":904},{"alpha_index":1178,"clock_position":1178,"value":426},{"alpha_index":1506,"clock_position":1506,"value":505},{"alpha_index":1834,"clock_position":1834,"value":79}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-195","alpha_indices":[195,523,851,1179,1507,1835],"clock_positions":[195,523,851,1179,1507,1835],"native_values":[510,683,173,473,300,810],"rotation_degrees":35.670731707317074,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":195,"clock_position":195,"value":510},{"alpha_index":523,"clock_position":523,"value":683},{"alpha_index":851,"clock_position":851,"value":173},{"alpha_index":1179,"clock_position":1179,"value":473},{"alpha_index":1507,"clock_position":1507,"value":300},{"alpha_index":1835,"clock_position":1835,"value":810}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-196","alpha_indices":[196,524,852,1180,1508,1836],"clock_positions":[196,524,852,1180,1508,1836],"native_values":[84,178,94,899,805,889],"rotation_degrees":35.853658536585364,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":196,"clock_position":196,"value":84},{"alpha_index":524,"clock_position":524,"value":178},{"alpha_index":852,"clock_position":852,"value":94},{"alpha_index":1180,"clock_position":1180,"value":899},{"alpha_index":1508,"clock_position":1508,"value":805},{"alpha_index":1836,"clock_position":1836,"value":889}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-197","alpha_indices":[197,525,853,1181,1509,1837],"clock_positions":[197,525,853,1181,1509,1837],"native_values":[594,861,267,389,122,716],"rotation_degrees":36.03658536585366,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":197,"clock_position":197,"value":594},{"alpha_index":525,"clock_position":525,"value":861},{"alpha_index":853,"clock_position":853,"value":267},{"alpha_index":1181,"clock_position":1181,"value":389},{"alpha_index":1509,"clock_position":1509,"value":122},{"alpha_index":1837,"clock_position":1837,"value":716}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-198","alpha_indices":[198,526,854,1182,1510,1838],"clock_positions":[198,526,854,1182,1510,1838],"native_values":[678,56,361,305,927,622],"rotation_degrees":36.21951219512195,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":198,"clock_position":198,"value":678},{"alpha_index":526,"clock_position":526,"value":56},{"alpha_index":854,"clock_position":854,"value":361},{"alpha_index":1182,"clock_position":1182,"value":305},{"alpha_index":1510,"clock_position":1510,"value":927},{"alpha_index":1838,"clock_position":1838,"value":622}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-199","alpha_indices":[199,527,855,1183,1511,1839],"clock_positions":[199,527,855,1183,1511,1839],"native_values":[289,917,628,694,66,355],"rotation_degrees":36.40243902439025,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":199,"clock_position":199,"value":289},{"alpha_index":527,"clock_position":527,"value":917},{"alpha_index":855,"clock_position":855,"value":628},{"alpha_index":1183,"clock_position":1183,"value":694},{"alpha_index":1511,"clock_position":1511,"value":66},{"alpha_index":1839,"clock_position":1839,"value":355}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-200","alpha_indices":[200,528,856,1184,1512,1840],"clock_positions":[200,528,856,1184,1512,1840],"native_values":[967,973,6,16,10,977],"rotation_degrees":36.58536585365854,"missing_required_values":[3,9],"failing_nodes":[{"alpha_index":200,"clock_position":200,"value":967},{"alpha_index":528,"clock_position":528,"value":973},{"alpha_index":1184,"clock_position":1184,"value":16},{"alpha_index":1512,"clock_position":1512,"value":10},{"alpha_index":1840,"clock_position":1840,"value":977}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-201","alpha_indices":[201,529,857,1185,1513,1841],"clock_positions":[201,529,857,1185,1513,1841],"native_values":[273,907,634,710,76,349],"rotation_degrees":36.76829268292683,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":201,"clock_position":201,"value":273},{"alpha_index":529,"clock_position":529,"value":907},{"alpha_index":857,"clock_position":857,"value":634},{"alpha_index":1185,"clock_position":1185,"value":710},{"alpha_index":1513,"clock_position":1513,"value":76},{"alpha_index":1841,"clock_position":1841,"value":349}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-202","alpha_indices":[202,530,858,1186,1514,1842],"clock_positions":[202,530,858,1186,1514,1842],"native_values":[257,897,640,726,86,343],"rotation_degrees":36.951219512195124,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":202,"clock_position":202,"value":257},{"alpha_index":530,"clock_position":530,"value":897},{"alpha_index":858,"clock_position":858,"value":640},{"alpha_index":1186,"clock_position":1186,"value":726},{"alpha_index":1514,"clock_position":1514,"value":86},{"alpha_index":1842,"clock_position":1842,"value":343}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-203","alpha_indices":[203,531,859,1187,1515,1843],"clock_positions":[203,531,859,1187,1515,1843],"native_values":[530,821,291,453,162,692],"rotation_degrees":37.13414634146341,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":203,"clock_position":203,"value":530},{"alpha_index":531,"clock_position":531,"value":821},{"alpha_index":859,"clock_position":859,"value":291},{"alpha_index":1187,"clock_position":1187,"value":453},{"alpha_index":1515,"clock_position":1515,"value":162},{"alpha_index":1843,"clock_position":1843,"value":692}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-204","alpha_indices":[204,532,860,1188,1516,1844],"clock_positions":[204,532,860,1188,1516,1844],"native_values":[787,735,931,196,248,52],"rotation_degrees":37.31707317073171,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":204,"clock_position":204,"value":787},{"alpha_index":532,"clock_position":532,"value":735},{"alpha_index":860,"clock_position":860,"value":931},{"alpha_index":1188,"clock_position":1188,"value":196},{"alpha_index":1516,"clock_position":1516,"value":248},{"alpha_index":1844,"clock_position":1844,"value":52}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-205","alpha_indices":[205,533,861,1189,1517,1845],"clock_positions":[205,533,861,1189,1517,1845],"native_values":[334,573,239,649,410,744],"rotation_degrees":37.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":205,"clock_position":205,"value":334},{"alpha_index":533,"clock_position":533,"value":573},{"alpha_index":861,"clock_position":861,"value":239},{"alpha_index":1189,"clock_position":1189,"value":649},{"alpha_index":1517,"clock_position":1517,"value":410},{"alpha_index":1845,"clock_position":1845,"value":744}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-206","alpha_indices":[206,534,862,1190,1518,1846],"clock_positions":[206,534,862,1190,1518,1846],"native_values":[138,325,187,845,658,796],"rotation_degrees":37.68292682926829,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":206,"clock_position":206,"value":138},{"alpha_index":534,"clock_position":534,"value":325},{"alpha_index":862,"clock_position":862,"value":187},{"alpha_index":1190,"clock_position":1190,"value":845},{"alpha_index":1518,"clock_position":1518,"value":658},{"alpha_index":1846,"clock_position":1846,"value":796}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-207","alpha_indices":[207,535,863,1191,1519,1847],"clock_positions":[207,535,863,1191,1519,1847],"native_values":[472,898,426,511,85,557],"rotation_degrees":37.86585365853659,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":207,"clock_position":207,"value":472},{"alpha_index":535,"clock_position":535,"value":898},{"alpha_index":863,"clock_position":863,"value":426},{"alpha_index":1191,"clock_position":1191,"value":511},{"alpha_index":1519,"clock_position":1519,"value":85},{"alpha_index":1847,"clock_position":1847,"value":557}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-208","alpha_indices":[208,536,864,1192,1520,1848],"clock_positions":[208,536,864,1192,1520,1848],"native_values":[610,240,613,373,743,370],"rotation_degrees":38.048780487804876,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":208,"clock_position":208,"value":610},{"alpha_index":536,"clock_position":536,"value":240},{"alpha_index":864,"clock_position":864,"value":613},{"alpha_index":1192,"clock_position":1192,"value":373},{"alpha_index":1520,"clock_position":1520,"value":743},{"alpha_index":1848,"clock_position":1848,"value":370}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-209","alpha_indices":[209,537,865,1193,1521,1849],"clock_positions":[209,537,865,1193,1521,1849],"native_values":[99,155,56,884,828,927],"rotation_degrees":38.23170731707317,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":209,"clock_position":209,"value":99},{"alpha_index":537,"clock_position":537,"value":155},{"alpha_index":865,"clock_position":865,"value":56},{"alpha_index":1193,"clock_position":1193,"value":884},{"alpha_index":1521,"clock_position":1521,"value":828},{"alpha_index":1849,"clock_position":1849,"value":927}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-210","alpha_indices":[210,538,866,1194,1522,1850],"clock_positions":[210,538,866,1194,1522,1850],"native_values":[709,395,669,274,588,314],"rotation_degrees":38.41463414634146,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":210,"clock_position":210,"value":709},{"alpha_index":538,"clock_position":538,"value":395},{"alpha_index":866,"clock_position":866,"value":669},{"alpha_index":1194,"clock_position":1194,"value":274},{"alpha_index":1522,"clock_position":1522,"value":588},{"alpha_index":1850,"clock_position":1850,"value":314}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-211","alpha_indices":[211,539,867,1195,1523,1851],"clock_positions":[211,539,867,1195,1523,1851],"native_values":[808,550,725,175,433,258],"rotation_degrees":38.59756097560975,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":211,"clock_position":211,"value":808},{"alpha_index":539,"clock_position":539,"value":550},{"alpha_index":867,"clock_position":867,"value":725},{"alpha_index":1195,"clock_position":1195,"value":175},{"alpha_index":1523,"clock_position":1523,"value":433},{"alpha_index":1851,"clock_position":1851,"value":258}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-212","alpha_indices":[212,540,868,1196,1524,1852],"clock_positions":[212,540,868,1196,1524,1852],"native_values":[534,945,411,449,38,572],"rotation_degrees":38.78048780487805,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":212,"clock_position":212,"value":534},{"alpha_index":540,"clock_position":540,"value":945},{"alpha_index":868,"clock_position":868,"value":411},{"alpha_index":1196,"clock_position":1196,"value":449},{"alpha_index":1524,"clock_position":1524,"value":38},{"alpha_index":1852,"clock_position":1852,"value":572}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-213","alpha_indices":[213,541,869,1197,1525,1853],"clock_positions":[213,541,869,1197,1525,1853],"native_values":[359,512,153,624,471,830],"rotation_degrees":38.96341463414634,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":213,"clock_position":213,"value":359},{"alpha_index":541,"clock_position":541,"value":512},{"alpha_index":869,"clock_position":869,"value":153},{"alpha_index":1197,"clock_position":1197,"value":624},{"alpha_index":1525,"clock_position":1525,"value":471},{"alpha_index":1853,"clock_position":1853,"value":830}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-214","alpha_indices":[214,542,870,1198,1526,1854],"clock_positions":[214,542,870,1198,1526,1854],"native_values":[893,474,564,90,509,419],"rotation_degrees":39.146341463414636,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":214,"clock_position":214,"value":893},{"alpha_index":542,"clock_position":542,"value":474},{"alpha_index":870,"clock_position":870,"value":564},{"alpha_index":1198,"clock_position":1198,"value":90},{"alpha_index":1526,"clock_position":1526,"value":509},{"alpha_index":1854,"clock_position":1854,"value":419}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-215","alpha_indices":[215,543,871,1199,1527,1855],"clock_positions":[215,543,871,1199,1527,1855],"native_values":[269,3,717,714,980,266],"rotation_degrees":39.329268292682926,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":215,"clock_position":215,"value":269},{"alpha_index":871,"clock_position":871,"value":717},{"alpha_index":1199,"clock_position":1199,"value":714},{"alpha_index":1527,"clock_position":1527,"value":980},{"alpha_index":1855,"clock_position":1855,"value":266}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-216","alpha_indices":[216,544,872,1200,1528,1856],"clock_positions":[216,544,872,1200,1528,1856],"native_values":[179,477,298,804,506,685],"rotation_degrees":39.51219512195122,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":216,"clock_position":216,"value":179},{"alpha_index":544,"clock_position":544,"value":477},{"alpha_index":872,"clock_position":872,"value":298},{"alpha_index":1200,"clock_position":1200,"value":804},{"alpha_index":1528,"clock_position":1528,"value":506},{"alpha_index":1856,"clock_position":1856,"value":685}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-217","alpha_indices":[217,545,873,1201,1529,1857],"clock_positions":[217,545,873,1201,1529,1857],"native_values":[448,480,32,535,503,951],"rotation_degrees":39.69512195121951,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":217,"clock_position":217,"value":448},{"alpha_index":545,"clock_position":545,"value":480},{"alpha_index":873,"clock_position":873,"value":32},{"alpha_index":1201,"clock_position":1201,"value":535},{"alpha_index":1529,"clock_position":1529,"value":503},{"alpha_index":1857,"clock_position":1857,"value":951}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-218","alpha_indices":[218,546,874,1202,1530,1858],"clock_positions":[218,546,874,1202,1530,1858],"native_values":[627,957,330,356,26,653],"rotation_degrees":39.8780487804878,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":218,"clock_position":218,"value":627},{"alpha_index":546,"clock_position":546,"value":957},{"alpha_index":874,"clock_position":874,"value":330},{"alpha_index":1202,"clock_position":1202,"value":356},{"alpha_index":1530,"clock_position":1530,"value":26},{"alpha_index":1858,"clock_position":1858,"value":653}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-219","alpha_indices":[219,547,875,1203,1531,1859],"clock_positions":[219,547,875,1203,1531,1859],"native_values":[92,454,362,891,529,621],"rotation_degrees":40.0609756097561,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":219,"clock_position":219,"value":92},{"alpha_index":547,"clock_position":547,"value":454},{"alpha_index":875,"clock_position":875,"value":362},{"alpha_index":1203,"clock_position":1203,"value":891},{"alpha_index":1531,"clock_position":1531,"value":529},{"alpha_index":1859,"clock_position":1859,"value":621}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-220","alpha_indices":[220,548,876,1204,1532,1860],"clock_positions":[220,548,876,1204,1532,1860],"native_values":[719,428,692,264,555,291],"rotation_degrees":40.24390243902439,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":220,"clock_position":220,"value":719},{"alpha_index":548,"clock_position":548,"value":428},{"alpha_index":876,"clock_position":876,"value":692},{"alpha_index":1204,"clock_position":1204,"value":264},{"alpha_index":1532,"clock_position":1532,"value":555},{"alpha_index":1860,"clock_position":1860,"value":291}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-221","alpha_indices":[221,549,877,1205,1533,1861],"clock_positions":[221,549,877,1205,1533,1861],"native_values":[811,882,71,172,101,912],"rotation_degrees":40.426829268292686,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":221,"clock_position":221,"value":811},{"alpha_index":549,"clock_position":549,"value":882},{"alpha_index":877,"clock_position":877,"value":71},{"alpha_index":1205,"clock_position":1205,"value":172},{"alpha_index":1533,"clock_position":1533,"value":101},{"alpha_index":1861,"clock_position":1861,"value":912}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-222","alpha_indices":[222,550,878,1206,1534,1862],"clock_positions":[222,550,878,1206,1534,1862],"native_values":[547,327,763,436,656,220],"rotation_degrees":40.609756097560975,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":222,"clock_position":222,"value":547},{"alpha_index":550,"clock_position":550,"value":327},{"alpha_index":878,"clock_position":878,"value":763},{"alpha_index":1206,"clock_position":1206,"value":436},{"alpha_index":1534,"clock_position":1534,"value":656},{"alpha_index":1862,"clock_position":1862,"value":220}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-223","alpha_indices":[223,551,879,1207,1535,1863],"clock_positions":[223,551,879,1207,1535,1863],"native_values":[375,226,834,608,757,149],"rotation_degrees":40.792682926829265,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":223,"clock_position":223,"value":375},{"alpha_index":551,"clock_position":551,"value":226},{"alpha_index":879,"clock_position":879,"value":834},{"alpha_index":1207,"clock_position":1207,"value":608},{"alpha_index":1535,"clock_position":1535,"value":757},{"alpha_index":1863,"clock_position":1863,"value":149}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-224","alpha_indices":[224,552,880,1208,1536,1864],"clock_positions":[224,552,880,1208,1536,1864],"native_values":[922,553,614,61,430,369],"rotation_degrees":40.97560975609756,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":224,"clock_position":224,"value":922},{"alpha_index":552,"clock_position":552,"value":553},{"alpha_index":880,"clock_position":880,"value":614},{"alpha_index":1208,"clock_position":1208,"value":61},{"alpha_index":1536,"clock_position":1536,"value":430},{"alpha_index":1864,"clock_position":1864,"value":369}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-225","alpha_indices":[225,553,881,1209,1537,1865],"clock_positions":[225,553,881,1209,1537,1865],"native_values":[314,779,465,669,204,518],"rotation_degrees":41.15853658536585,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":225,"clock_position":225,"value":314},{"alpha_index":553,"clock_position":553,"value":779},{"alpha_index":881,"clock_position":881,"value":465},{"alpha_index":1209,"clock_position":1209,"value":669},{"alpha_index":1537,"clock_position":1537,"value":204},{"alpha_index":1865,"clock_position":1865,"value":518}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-226","alpha_indices":[226,554,882,1210,1538,1866],"clock_positions":[226,554,882,1210,1538,1866],"native_values":[253,349,96,730,634,887],"rotation_degrees":41.34146341463415,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":226,"clock_position":226,"value":253},{"alpha_index":554,"clock_position":554,"value":349},{"alpha_index":882,"clock_position":882,"value":96},{"alpha_index":1210,"clock_position":1210,"value":730},{"alpha_index":1538,"clock_position":1538,"value":634},{"alpha_index":1866,"clock_position":1866,"value":887}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-227","alpha_indices":[227,555,883,1211,1539,1867],"clock_positions":[227,555,883,1211,1539,1867],"native_values":[567,145,561,416,838,422],"rotation_degrees":41.52439024390244,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":227,"clock_position":227,"value":567},{"alpha_index":555,"clock_position":555,"value":145},{"alpha_index":883,"clock_position":883,"value":561},{"alpha_index":1211,"clock_position":1211,"value":416},{"alpha_index":1539,"clock_position":1539,"value":838},{"alpha_index":1867,"clock_position":1867,"value":422}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-228","alpha_indices":[228,556,884,1212,1540,1868],"clock_positions":[228,556,884,1212,1540,1868],"native_values":[820,494,657,163,489,326],"rotation_degrees":41.707317073170735,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":228,"clock_position":228,"value":820},{"alpha_index":556,"clock_position":556,"value":494},{"alpha_index":884,"clock_position":884,"value":657},{"alpha_index":1212,"clock_position":1212,"value":163},{"alpha_index":1540,"clock_position":1540,"value":489},{"alpha_index":1868,"clock_position":1868,"value":326}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-229","alpha_indices":[229,557,885,1213,1541,1869],"clock_positions":[229,557,885,1213,1541,1869],"native_values":[404,639,235,579,344,748],"rotation_degrees":41.890243902439025,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":229,"clock_position":229,"value":404},{"alpha_index":557,"clock_position":557,"value":639},{"alpha_index":885,"clock_position":885,"value":235},{"alpha_index":1213,"clock_position":1213,"value":579},{"alpha_index":1541,"clock_position":1541,"value":344},{"alpha_index":1869,"clock_position":1869,"value":748}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-230","alpha_indices":[230,558,886,1214,1542,1870],"clock_positions":[230,558,886,1214,1542,1870],"native_values":[241,150,892,742,833,91],"rotation_degrees":42.073170731707314,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":230,"clock_position":230,"value":241},{"alpha_index":558,"clock_position":558,"value":150},{"alpha_index":886,"clock_position":886,"value":892},{"alpha_index":1214,"clock_position":1214,"value":742},{"alpha_index":1542,"clock_position":1542,"value":833},{"alpha_index":1870,"clock_position":1870,"value":91}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-231","alpha_indices":[231,559,887,1215,1543,1871],"clock_positions":[231,559,887,1215,1543,1871],"native_values":[645,789,144,338,194,839],"rotation_degrees":42.25609756097561,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":231,"clock_position":231,"value":645},{"alpha_index":559,"clock_position":559,"value":789},{"alpha_index":887,"clock_position":887,"value":144},{"alpha_index":1215,"clock_position":1215,"value":338},{"alpha_index":1543,"clock_position":1543,"value":194},{"alpha_index":1871,"clock_position":1871,"value":839}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-232","alpha_indices":[232,560,888,1216,1544,1872],"clock_positions":[232,560,888,1216,1544,1872],"native_values":[886,939,53,97,44,930],"rotation_degrees":42.4390243902439,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":232,"clock_position":232,"value":886},{"alpha_index":560,"clock_position":560,"value":939},{"alpha_index":888,"clock_position":888,"value":53},{"alpha_index":1216,"clock_position":1216,"value":97},{"alpha_index":1544,"clock_position":1544,"value":44},{"alpha_index":1872,"clock_position":1872,"value":930}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-233","alpha_indices":[233,561,889,1217,1545,1873],"clock_positions":[233,561,889,1217,1545,1873],"native_values":[548,745,197,435,238,786],"rotation_degrees":42.6219512195122,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":233,"clock_position":233,"value":548},{"alpha_index":561,"clock_position":561,"value":745},{"alpha_index":889,"clock_position":889,"value":197},{"alpha_index":1217,"clock_position":1217,"value":435},{"alpha_index":1545,"clock_position":1545,"value":238},{"alpha_index":1873,"clock_position":1873,"value":786}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-234","alpha_indices":[234,562,890,1218,1546,1874],"clock_positions":[234,562,890,1218,1546,1874],"native_values":[451,701,250,532,282,733],"rotation_degrees":42.80487804878049,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":234,"clock_position":234,"value":451},{"alpha_index":562,"clock_position":562,"value":701},{"alpha_index":890,"clock_position":890,"value":250},{"alpha_index":1218,"clock_position":1218,"value":532},{"alpha_index":1546,"clock_position":1546,"value":282},{"alpha_index":1874,"clock_position":1874,"value":733}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-235","alpha_indices":[235,563,891,1219,1547,1875],"clock_positions":[235,563,891,1219,1547,1875],"native_values":[16,463,447,967,520,536],"rotation_degrees":42.98780487804878,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":235,"clock_position":235,"value":16},{"alpha_index":563,"clock_position":563,"value":463},{"alpha_index":891,"clock_position":891,"value":447},{"alpha_index":1219,"clock_position":1219,"value":967},{"alpha_index":1547,"clock_position":1547,"value":520},{"alpha_index":1875,"clock_position":1875,"value":536}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-236","alpha_indices":[236,564,892,1220,1548,1876],"clock_positions":[236,564,892,1220,1548,1876],"native_values":[467,181,697,516,802,286],"rotation_degrees":43.170731707317074,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":236,"clock_position":236,"value":467},{"alpha_index":564,"clock_position":564,"value":181},{"alpha_index":892,"clock_position":892,"value":697},{"alpha_index":1220,"clock_position":1220,"value":516},{"alpha_index":1548,"clock_position":1548,"value":802},{"alpha_index":1876,"clock_position":1876,"value":286}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-237","alpha_indices":[237,565,893,1221,1549,1877],"clock_positions":[237,565,893,1221,1549,1877],"native_values":[483,644,161,500,339,822],"rotation_degrees":43.353658536585364,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":237,"clock_position":237,"value":483},{"alpha_index":565,"clock_position":565,"value":644},{"alpha_index":893,"clock_position":893,"value":161},{"alpha_index":1221,"clock_position":1221,"value":500},{"alpha_index":1549,"clock_position":1549,"value":339},{"alpha_index":1877,"clock_position":1877,"value":822}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-238","alpha_indices":[238,566,894,1222,1550,1878],"clock_positions":[238,566,894,1222,1550,1878],"native_values":[950,825,858,33,158,125],"rotation_degrees":43.53658536585366,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":238,"clock_position":238,"value":950},{"alpha_index":566,"clock_position":566,"value":825},{"alpha_index":894,"clock_position":894,"value":858},{"alpha_index":1222,"clock_position":1222,"value":33},{"alpha_index":1550,"clock_position":1550,"value":158},{"alpha_index":1878,"clock_position":1878,"value":125}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-239","alpha_indices":[239,567,895,1223,1551,1879],"clock_positions":[239,567,895,1223,1551,1879],"native_values":[450,486,36,533,497,947],"rotation_degrees":43.71951219512195,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":239,"clock_position":239,"value":450},{"alpha_index":567,"clock_position":567,"value":486},{"alpha_index":895,"clock_position":895,"value":36},{"alpha_index":1223,"clock_position":1223,"value":533},{"alpha_index":1551,"clock_position":1551,"value":497},{"alpha_index":1879,"clock_position":1879,"value":947}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-240","alpha_indices":[240,568,896,1224,1552,1880],"clock_positions":[240,568,896,1224,1552,1880],"native_values":[417,328,894,566,655,89],"rotation_degrees":43.90243902439025,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":240,"clock_position":240,"value":417},{"alpha_index":568,"clock_position":568,"value":328},{"alpha_index":896,"clock_position":896,"value":894},{"alpha_index":1224,"clock_position":1224,"value":566},{"alpha_index":1552,"clock_position":1552,"value":655},{"alpha_index":1880,"clock_position":1880,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-241","alpha_indices":[241,569,897,1225,1553,1881],"clock_positions":[241,569,897,1225,1553,1881],"native_values":[867,814,930,116,169,53],"rotation_degrees":44.08536585365854,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":241,"clock_position":241,"value":867},{"alpha_index":569,"clock_position":569,"value":814},{"alpha_index":897,"clock_position":897,"value":930},{"alpha_index":1225,"clock_position":1225,"value":116},{"alpha_index":1553,"clock_position":1553,"value":169},{"alpha_index":1881,"clock_position":1881,"value":53}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-242","alpha_indices":[242,570,898,1226,1554,1882],"clock_positions":[242,570,898,1226,1554,1882],"native_values":[301,159,841,682,824,142],"rotation_degrees":44.26829268292683,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":242,"clock_position":242,"value":301},{"alpha_index":570,"clock_position":570,"value":159},{"alpha_index":898,"clock_position":898,"value":841},{"alpha_index":1226,"clock_position":1226,"value":682},{"alpha_index":1554,"clock_position":1554,"value":824},{"alpha_index":1882,"clock_position":1882,"value":142}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-243","alpha_indices":[243,571,899,1227,1555,1883],"clock_positions":[243,571,899,1227,1555,1883],"native_values":[185,973,788,798,10,195],"rotation_degrees":44.451219512195124,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":243,"clock_position":243,"value":185},{"alpha_index":571,"clock_position":571,"value":973},{"alpha_index":899,"clock_position":899,"value":788},{"alpha_index":1227,"clock_position":1227,"value":798},{"alpha_index":1555,"clock_position":1555,"value":10},{"alpha_index":1883,"clock_position":1883,"value":195}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-244","alpha_indices":[244,572,900,1228,1556,1884],"clock_positions":[244,572,900,1228,1556,1884],"native_values":[486,149,646,497,834,337],"rotation_degrees":44.63414634146341,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":244,"clock_position":244,"value":486},{"alpha_index":572,"clock_position":572,"value":149},{"alpha_index":900,"clock_position":900,"value":646},{"alpha_index":1228,"clock_position":1228,"value":497},{"alpha_index":1556,"clock_position":1556,"value":834},{"alpha_index":1884,"clock_position":1884,"value":337}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-245","alpha_indices":[245,573,901,1229,1557,1885],"clock_positions":[245,573,901,1229,1557,1885],"native_values":[671,139,451,312,844,532],"rotation_degrees":44.81707317073171,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":245,"clock_position":245,"value":671},{"alpha_index":573,"clock_position":573,"value":139},{"alpha_index":901,"clock_position":901,"value":451},{"alpha_index":1229,"clock_position":1229,"value":312},{"alpha_index":1557,"clock_position":1557,"value":844},{"alpha_index":1885,"clock_position":1885,"value":532}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-246","alpha_indices":[246,574,902,1230,1558,1886],"clock_positions":[246,574,902,1230,1558,1886],"native_values":[174,288,114,809,695,869],"rotation_degrees":45.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":246,"clock_position":246,"value":174},{"alpha_index":574,"clock_position":574,"value":288},{"alpha_index":902,"clock_position":902,"value":114},{"alpha_index":1230,"clock_position":1230,"value":809},{"alpha_index":1558,"clock_position":1558,"value":695},{"alpha_index":1886,"clock_position":1886,"value":869}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-247","alpha_indices":[247,575,903,1231,1559,1887],"clock_positions":[247,575,903,1231,1559,1887],"native_values":[845,427,565,138,556,418],"rotation_degrees":45.18292682926829,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":247,"clock_position":247,"value":845},{"alpha_index":575,"clock_position":575,"value":427},{"alpha_index":903,"clock_position":903,"value":565},{"alpha_index":1231,"clock_position":1231,"value":138},{"alpha_index":1559,"clock_position":1559,"value":556},{"alpha_index":1887,"clock_position":1887,"value":418}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-248","alpha_indices":[248,576,904,1232,1560,1888],"clock_positions":[248,576,904,1232,1560,1888],"native_values":[36,715,679,947,268,304],"rotation_degrees":45.36585365853659,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":248,"clock_position":248,"value":36},{"alpha_index":576,"clock_position":576,"value":715},{"alpha_index":904,"clock_position":904,"value":679},{"alpha_index":1232,"clock_position":1232,"value":947},{"alpha_index":1560,"clock_position":1560,"value":268},{"alpha_index":1888,"clock_position":1888,"value":304}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-249","alpha_indices":[249,577,905,1233,1561,1889],"clock_positions":[249,577,905,1233,1561,1889],"native_values":[881,159,261,102,824,722],"rotation_degrees":45.548780487804876,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":249,"clock_position":249,"value":881},{"alpha_index":577,"clock_position":577,"value":159},{"alpha_index":905,"clock_position":905,"value":261},{"alpha_index":1233,"clock_position":1233,"value":102},{"alpha_index":1561,"clock_position":1561,"value":824},{"alpha_index":1889,"clock_position":1889,"value":722}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-250","alpha_indices":[250,578,906,1234,1562,1890],"clock_positions":[250,578,906,1234,1562,1890],"native_values":[917,874,940,66,109,43],"rotation_degrees":45.73170731707317,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":250,"clock_position":250,"value":917},{"alpha_index":578,"clock_position":578,"value":874},{"alpha_index":906,"clock_position":906,"value":940},{"alpha_index":1234,"clock_position":1234,"value":66},{"alpha_index":1562,"clock_position":1562,"value":109},{"alpha_index":1890,"clock_position":1890,"value":43}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-251","alpha_indices":[251,579,907,1235,1563,1891],"clock_positions":[251,579,907,1235,1563,1891],"native_values":[815,50,218,168,933,765],"rotation_degrees":45.91463414634146,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":251,"clock_position":251,"value":815},{"alpha_index":579,"clock_position":579,"value":50},{"alpha_index":907,"clock_position":907,"value":218},{"alpha_index":1235,"clock_position":1235,"value":168},{"alpha_index":1563,"clock_position":1563,"value":933},{"alpha_index":1891,"clock_position":1891,"value":765}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-252","alpha_indices":[252,580,908,1236,1564,1892],"clock_positions":[252,580,908,1236,1564,1892],"native_values":[749,924,175,234,59,808],"rotation_degrees":46.09756097560975,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":252,"clock_position":252,"value":749},{"alpha_index":580,"clock_position":580,"value":924},{"alpha_index":908,"clock_position":908,"value":175},{"alpha_index":1236,"clock_position":1236,"value":234},{"alpha_index":1564,"clock_position":1564,"value":59},{"alpha_index":1892,"clock_position":1892,"value":808}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-253","alpha_indices":[253,581,909,1237,1565,1893],"clock_positions":[253,581,909,1237,1565,1893],"native_values":[581,974,393,402,9,590],"rotation_degrees":46.28048780487805,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":253,"clock_position":253,"value":581},{"alpha_index":581,"clock_position":581,"value":974},{"alpha_index":909,"clock_position":909,"value":393},{"alpha_index":1237,"clock_position":1237,"value":402},{"alpha_index":1893,"clock_position":1893,"value":590}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-254","alpha_indices":[254,582,910,1238,1566,1894],"clock_positions":[254,582,910,1238,1566,1894],"native_values":[347,915,568,636,68,415],"rotation_degrees":46.46341463414634,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":254,"clock_position":254,"value":347},{"alpha_index":582,"clock_position":582,"value":915},{"alpha_index":910,"clock_position":910,"value":568},{"alpha_index":1238,"clock_position":1238,"value":636},{"alpha_index":1566,"clock_position":1566,"value":68},{"alpha_index":1894,"clock_position":1894,"value":415}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-255","alpha_indices":[255,583,911,1239,1567,1895],"clock_positions":[255,583,911,1239,1567,1895],"native_values":[928,906,961,55,77,22],"rotation_degrees":46.646341463414636,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":255,"clock_position":255,"value":928},{"alpha_index":583,"clock_position":583,"value":906},{"alpha_index":911,"clock_position":911,"value":961},{"alpha_index":1239,"clock_position":1239,"value":55},{"alpha_index":1567,"clock_position":1567,"value":77},{"alpha_index":1895,"clock_position":1895,"value":22}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-256","alpha_indices":[256,584,912,1240,1568,1896],"clock_positions":[256,584,912,1240,1568,1896],"native_values":[292,838,546,691,145,437],"rotation_degrees":46.829268292682926,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":256,"clock_position":256,"value":292},{"alpha_index":584,"clock_position":584,"value":838},{"alpha_index":912,"clock_position":912,"value":546},{"alpha_index":1240,"clock_position":1240,"value":691},{"alpha_index":1568,"clock_position":1568,"value":145},{"alpha_index":1896,"clock_position":1896,"value":437}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-257","alpha_indices":[257,585,913,1241,1569,1897],"clock_positions":[257,585,913,1241,1569,1897],"native_values":[237,761,524,746,222,459],"rotation_degrees":47.01219512195122,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":257,"clock_position":257,"value":237},{"alpha_index":585,"clock_position":585,"value":761},{"alpha_index":913,"clock_position":913,"value":524},{"alpha_index":1241,"clock_position":1241,"value":746},{"alpha_index":1569,"clock_position":1569,"value":222},{"alpha_index":1897,"clock_position":1897,"value":459}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-258","alpha_indices":[258,586,914,1242,1570,1898],"clock_positions":[258,586,914,1242,1570,1898],"native_values":[529,616,87,454,367,896],"rotation_degrees":47.19512195121951,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":258,"clock_position":258,"value":529},{"alpha_index":586,"clock_position":586,"value":616},{"alpha_index":914,"clock_position":914,"value":87},{"alpha_index":1242,"clock_position":1242,"value":454},{"alpha_index":1570,"clock_position":1570,"value":367},{"alpha_index":1898,"clock_position":1898,"value":896}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-259","alpha_indices":[259,587,915,1243,1571,1899],"clock_positions":[259,587,915,1243,1571,1899],"native_values":[766,394,611,217,589,372],"rotation_degrees":47.3780487804878,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":259,"clock_position":259,"value":766},{"alpha_index":587,"clock_position":587,"value":394},{"alpha_index":915,"clock_position":915,"value":611},{"alpha_index":1243,"clock_position":1243,"value":217},{"alpha_index":1571,"clock_position":1571,"value":589},{"alpha_index":1899,"clock_position":1899,"value":372}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-260","alpha_indices":[260,588,916,1244,1572,1900],"clock_positions":[260,588,916,1244,1572,1900],"native_values":[312,27,698,671,956,285],"rotation_degrees":47.5609756097561,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":260,"clock_position":260,"value":312},{"alpha_index":588,"clock_position":588,"value":27},{"alpha_index":916,"clock_position":916,"value":698},{"alpha_index":1244,"clock_position":1244,"value":671},{"alpha_index":1572,"clock_position":1572,"value":956},{"alpha_index":1900,"clock_position":1900,"value":285}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-261","alpha_indices":[261,589,917,1245,1573,1901],"clock_positions":[261,589,917,1245,1573,1901],"native_values":[95,421,326,888,562,657],"rotation_degrees":47.74390243902439,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":261,"clock_position":261,"value":95},{"alpha_index":589,"clock_position":589,"value":421},{"alpha_index":917,"clock_position":917,"value":326},{"alpha_index":1245,"clock_position":1245,"value":888},{"alpha_index":1573,"clock_position":1573,"value":562},{"alpha_index":1901,"clock_position":1901,"value":657}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-262","alpha_indices":[262,590,918,1246,1574,1902],"clock_positions":[262,590,918,1246,1574,1902],"native_values":[407,448,41,576,535,942],"rotation_degrees":47.926829268292686,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":262,"clock_position":262,"value":407},{"alpha_index":590,"clock_position":590,"value":448},{"alpha_index":918,"clock_position":918,"value":41},{"alpha_index":1246,"clock_position":1246,"value":576},{"alpha_index":1574,"clock_position":1574,"value":535},{"alpha_index":1902,"clock_position":1902,"value":942}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-263","alpha_indices":[263,591,919,1247,1575,1903],"clock_positions":[263,591,919,1247,1575,1903],"native_values":[502,869,367,481,114,616],"rotation_degrees":48.109756097560975,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":263,"clock_position":263,"value":502},{"alpha_index":591,"clock_position":591,"value":869},{"alpha_index":919,"clock_position":919,"value":367},{"alpha_index":1247,"clock_position":1247,"value":481},{"alpha_index":1575,"clock_position":1575,"value":114},{"alpha_index":1903,"clock_position":1903,"value":616}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-264","alpha_indices":[264,592,920,1248,1576,1904],"clock_positions":[264,592,920,1248,1576,1904],"native_values":[909,334,408,74,649,575],"rotation_degrees":48.292682926829265,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":264,"clock_position":264,"value":909},{"alpha_index":592,"clock_position":592,"value":334},{"alpha_index":920,"clock_position":920,"value":408},{"alpha_index":1248,"clock_position":1248,"value":74},{"alpha_index":1576,"clock_position":1576,"value":649},{"alpha_index":1904,"clock_position":1904,"value":575}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-265","alpha_indices":[265,593,921,1249,1577,1905],"clock_positions":[265,593,921,1249,1577,1905],"native_values":[428,220,775,555,763,208],"rotation_degrees":48.47560975609756,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":265,"clock_position":265,"value":428},{"alpha_index":593,"clock_position":593,"value":220},{"alpha_index":921,"clock_position":921,"value":775},{"alpha_index":1249,"clock_position":1249,"value":555},{"alpha_index":1577,"clock_position":1577,"value":763},{"alpha_index":1905,"clock_position":1905,"value":208}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-266","alpha_indices":[266,594,922,1250,1578,1906],"clock_positions":[266,594,922,1250,1578,1906],"native_values":[354,554,200,629,429,783],"rotation_degrees":48.65853658536585,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":266,"clock_position":266,"value":354},{"alpha_index":594,"clock_position":594,"value":554},{"alpha_index":922,"clock_position":922,"value":200},{"alpha_index":1250,"clock_position":1250,"value":629},{"alpha_index":1578,"clock_position":1578,"value":429},{"alpha_index":1906,"clock_position":1906,"value":783}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-267","alpha_indices":[267,595,923,1251,1579,1907],"clock_positions":[267,595,923,1251,1579,1907],"native_values":[782,774,975,201,209,8],"rotation_degrees":48.84146341463415,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":267,"clock_position":267,"value":782},{"alpha_index":595,"clock_position":595,"value":774},{"alpha_index":923,"clock_position":923,"value":975},{"alpha_index":1251,"clock_position":1251,"value":201},{"alpha_index":1579,"clock_position":1579,"value":209},{"alpha_index":1907,"clock_position":1907,"value":8}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-268","alpha_indices":[268,596,924,1252,1580,1908],"clock_positions":[268,596,924,1252,1580,1908],"native_values":[153,345,192,830,638,791],"rotation_degrees":49.02439024390244,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":268,"clock_position":268,"value":153},{"alpha_index":596,"clock_position":596,"value":345},{"alpha_index":924,"clock_position":924,"value":192},{"alpha_index":1252,"clock_position":1252,"value":830},{"alpha_index":1580,"clock_position":1580,"value":638},{"alpha_index":1908,"clock_position":1908,"value":791}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-269","alpha_indices":[269,597,925,1253,1581,1909],"clock_positions":[269,597,925,1253,1581,1909],"native_values":[935,136,184,48,847,799],"rotation_degrees":49.207317073170735,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":269,"clock_position":269,"value":935},{"alpha_index":597,"clock_position":597,"value":136},{"alpha_index":925,"clock_position":925,"value":184},{"alpha_index":1253,"clock_position":1253,"value":48},{"alpha_index":1581,"clock_position":1581,"value":847},{"alpha_index":1909,"clock_position":1909,"value":799}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-270","alpha_indices":[270,598,926,1254,1582,1910],"clock_positions":[270,598,926,1254,1582,1910],"native_values":[105,481,376,878,502,607],"rotation_degrees":49.390243902439025,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":270,"clock_position":270,"value":105},{"alpha_index":598,"clock_position":598,"value":481},{"alpha_index":926,"clock_position":926,"value":376},{"alpha_index":1254,"clock_position":1254,"value":878},{"alpha_index":1582,"clock_position":1582,"value":502},{"alpha_index":1910,"clock_position":1910,"value":607}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-271","alpha_indices":[271,599,927,1255,1583,1911],"clock_positions":[271,599,927,1255,1583,1911],"native_values":[57,617,560,926,366,423],"rotation_degrees":49.573170731707314,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":271,"clock_position":271,"value":57},{"alpha_index":599,"clock_position":599,"value":617},{"alpha_index":927,"clock_position":927,"value":560},{"alpha_index":1255,"clock_position":1255,"value":926},{"alpha_index":1583,"clock_position":1583,"value":366},{"alpha_index":1911,"clock_position":1911,"value":423}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-272","alpha_indices":[272,600,928,1256,1584,1912],"clock_positions":[272,600,928,1256,1584,1912],"native_values":[162,115,936,821,868,47],"rotation_degrees":49.75609756097561,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":272,"clock_position":272,"value":162},{"alpha_index":600,"clock_position":600,"value":115},{"alpha_index":928,"clock_position":928,"value":936},{"alpha_index":1256,"clock_position":1256,"value":821},{"alpha_index":1584,"clock_position":1584,"value":868},{"alpha_index":1912,"clock_position":1912,"value":47}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-273","alpha_indices":[273,601,929,1257,1585,1913],"clock_positions":[273,601,929,1257,1585,1913],"native_values":[219,732,513,764,251,470],"rotation_degrees":49.9390243902439,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":273,"clock_position":273,"value":219},{"alpha_index":601,"clock_position":601,"value":732},{"alpha_index":929,"clock_position":929,"value":513},{"alpha_index":1257,"clock_position":1257,"value":764},{"alpha_index":1585,"clock_position":1585,"value":251},{"alpha_index":1913,"clock_position":1913,"value":470}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-274","alpha_indices":[274,602,930,1258,1586,1914],"clock_positions":[274,602,930,1258,1586,1914],"native_values":[381,847,466,602,136,517],"rotation_degrees":50.1219512195122,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":274,"clock_position":274,"value":381},{"alpha_index":602,"clock_position":602,"value":847},{"alpha_index":930,"clock_position":930,"value":466},{"alpha_index":1258,"clock_position":1258,"value":602},{"alpha_index":1586,"clock_position":1586,"value":136},{"alpha_index":1914,"clock_position":1914,"value":517}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-275","alpha_indices":[275,603,931,1259,1587,1915],"clock_positions":[275,603,931,1259,1587,1915],"native_values":[600,596,979,383,387,4],"rotation_degrees":50.30487804878049,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":275,"clock_position":275,"value":600},{"alpha_index":603,"clock_position":603,"value":596},{"alpha_index":931,"clock_position":931,"value":979},{"alpha_index":1259,"clock_position":1259,"value":383},{"alpha_index":1587,"clock_position":1587,"value":387},{"alpha_index":1915,"clock_position":1915,"value":4}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-276","alpha_indices":[276,604,932,1260,1588,1916],"clock_positions":[276,604,932,1260,1588,1916],"native_values":[981,460,462,2,523,521],"rotation_degrees":50.48780487804878,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":276,"clock_position":276,"value":981},{"alpha_index":604,"clock_position":604,"value":460},{"alpha_index":932,"clock_position":932,"value":462},{"alpha_index":1260,"clock_position":1260,"value":2},{"alpha_index":1588,"clock_position":1588,"value":523},{"alpha_index":1916,"clock_position":1916,"value":521}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-277","alpha_indices":[277,605,933,1261,1589,1917],"clock_positions":[277,605,933,1261,1589,1917],"native_values":[598,73,458,385,910,525],"rotation_degrees":50.670731707317074,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":277,"clock_position":277,"value":598},{"alpha_index":605,"clock_position":605,"value":73},{"alpha_index":933,"clock_position":933,"value":458},{"alpha_index":1261,"clock_position":1261,"value":385},{"alpha_index":1589,"clock_position":1589,"value":910},{"alpha_index":1917,"clock_position":1917,"value":525}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-278","alpha_indices":[278,606,934,1262,1590,1918],"clock_positions":[278,606,934,1262,1590,1918],"native_values":[596,533,920,387,450,63],"rotation_degrees":50.853658536585364,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":278,"clock_position":278,"value":596},{"alpha_index":606,"clock_position":606,"value":533},{"alpha_index":934,"clock_position":934,"value":920},{"alpha_index":1262,"clock_position":1262,"value":387},{"alpha_index":1590,"clock_position":1590,"value":450},{"alpha_index":1918,"clock_position":1918,"value":63}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-279","alpha_indices":[279,607,935,1263,1591,1919],"clock_positions":[279,607,935,1263,1591,1919],"native_values":[211,606,395,772,377,588],"rotation_degrees":51.03658536585366,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":279,"clock_position":279,"value":211},{"alpha_index":607,"clock_position":607,"value":606},{"alpha_index":935,"clock_position":935,"value":395},{"alpha_index":1263,"clock_position":1263,"value":772},{"alpha_index":1591,"clock_position":1591,"value":377},{"alpha_index":1919,"clock_position":1919,"value":588}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-280","alpha_indices":[280,608,936,1264,1592,1920],"clock_positions":[280,608,936,1264,1592,1920],"native_values":[807,156,332,176,827,651],"rotation_degrees":51.21951219512195,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":280,"clock_position":280,"value":807},{"alpha_index":608,"clock_position":608,"value":156},{"alpha_index":936,"clock_position":936,"value":332},{"alpha_index":1264,"clock_position":1264,"value":176},{"alpha_index":1592,"clock_position":1592,"value":827},{"alpha_index":1920,"clock_position":1920,"value":651}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-281","alpha_indices":[281,609,937,1265,1593,1921],"clock_positions":[281,609,937,1265,1593,1921],"native_values":[35,762,727,948,221,256],"rotation_degrees":51.40243902439025,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":281,"clock_position":281,"value":35},{"alpha_index":609,"clock_position":609,"value":762},{"alpha_index":937,"clock_position":937,"value":727},{"alpha_index":1265,"clock_position":1265,"value":948},{"alpha_index":1593,"clock_position":1593,"value":221},{"alpha_index":1921,"clock_position":1921,"value":256}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-282","alpha_indices":[282,610,938,1266,1594,1922],"clock_positions":[282,610,938,1266,1594,1922],"native_values":[842,918,76,141,65,907],"rotation_degrees":51.58536585365854,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":282,"clock_position":282,"value":842},{"alpha_index":610,"clock_position":610,"value":918},{"alpha_index":938,"clock_position":938,"value":76},{"alpha_index":1266,"clock_position":1266,"value":141},{"alpha_index":1594,"clock_position":1594,"value":65},{"alpha_index":1922,"clock_position":1922,"value":907}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-283","alpha_indices":[283,611,939,1267,1595,1923],"clock_positions":[283,611,939,1267,1595,1923],"native_values":[877,697,803,106,286,180],"rotation_degrees":51.76829268292683,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":283,"clock_position":283,"value":877},{"alpha_index":611,"clock_position":611,"value":697},{"alpha_index":939,"clock_position":939,"value":803},{"alpha_index":1267,"clock_position":1267,"value":106},{"alpha_index":1595,"clock_position":1595,"value":286},{"alpha_index":1923,"clock_position":1923,"value":180}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-284","alpha_indices":[284,612,940,1268,1596,1924],"clock_positions":[284,612,940,1268,1596,1924],"native_values":[736,632,879,247,351,104],"rotation_degrees":51.951219512195124,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":284,"clock_position":284,"value":736},{"alpha_index":612,"clock_position":612,"value":632},{"alpha_index":940,"clock_position":940,"value":879},{"alpha_index":1268,"clock_position":1268,"value":247},{"alpha_index":1596,"clock_position":1596,"value":351},{"alpha_index":1924,"clock_position":1924,"value":104}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-285","alpha_indices":[285,613,941,1269,1597,1925],"clock_positions":[285,613,941,1269,1597,1925],"native_values":[630,346,699,353,637,284],"rotation_degrees":52.13414634146341,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":285,"clock_position":285,"value":630},{"alpha_index":613,"clock_position":613,"value":346},{"alpha_index":941,"clock_position":941,"value":699},{"alpha_index":1269,"clock_position":1269,"value":353},{"alpha_index":1597,"clock_position":1597,"value":637},{"alpha_index":1925,"clock_position":1925,"value":284}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-286","alpha_indices":[286,614,942,1270,1598,1926],"clock_positions":[286,614,942,1270,1598,1926],"native_values":[383,978,595,600,5,388],"rotation_degrees":52.31707317073171,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":286,"clock_position":286,"value":383},{"alpha_index":614,"clock_position":614,"value":978},{"alpha_index":942,"clock_position":942,"value":595},{"alpha_index":1270,"clock_position":1270,"value":600},{"alpha_index":1598,"clock_position":1598,"value":5},{"alpha_index":1926,"clock_position":1926,"value":388}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-287","alpha_indices":[287,615,943,1271,1599,1927],"clock_positions":[287,615,943,1271,1599,1927],"native_values":[30,341,311,953,642,672],"rotation_degrees":52.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":287,"clock_position":287,"value":30},{"alpha_index":615,"clock_position":615,"value":341},{"alpha_index":943,"clock_position":943,"value":311},{"alpha_index":1271,"clock_position":1271,"value":953},{"alpha_index":1599,"clock_position":1599,"value":642},{"alpha_index":1927,"clock_position":1927,"value":672}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-288","alpha_indices":[288,616,944,1272,1600,1928],"clock_positions":[288,616,944,1272,1600,1928],"native_values":[413,336,906,570,647,77],"rotation_degrees":52.68292682926829,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":288,"clock_position":288,"value":413},{"alpha_index":616,"clock_position":616,"value":336},{"alpha_index":944,"clock_position":944,"value":906},{"alpha_index":1272,"clock_position":1272,"value":570},{"alpha_index":1600,"clock_position":1600,"value":647},{"alpha_index":1928,"clock_position":1928,"value":77}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-289","alpha_indices":[289,617,945,1273,1601,1929],"clock_positions":[289,617,945,1273,1601,1929],"native_values":[443,677,234,540,306,749],"rotation_degrees":52.86585365853659,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":289,"clock_position":289,"value":443},{"alpha_index":617,"clock_position":617,"value":677},{"alpha_index":945,"clock_position":945,"value":234},{"alpha_index":1273,"clock_position":1273,"value":540},{"alpha_index":1601,"clock_position":1601,"value":306},{"alpha_index":1929,"clock_position":1929,"value":749}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-290","alpha_indices":[290,618,946,1274,1602,1930],"clock_positions":[290,618,946,1274,1602,1930],"native_values":[856,30,157,127,953,826],"rotation_degrees":53.048780487804876,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":290,"clock_position":290,"value":856},{"alpha_index":618,"clock_position":618,"value":30},{"alpha_index":946,"clock_position":946,"value":157},{"alpha_index":1274,"clock_position":1274,"value":127},{"alpha_index":1602,"clock_position":1602,"value":953},{"alpha_index":1930,"clock_position":1930,"value":826}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-291","alpha_indices":[291,619,947,1275,1603,1931],"clock_positions":[291,619,947,1275,1603,1931],"native_values":[316,707,391,667,276,592],"rotation_degrees":53.23170731707317,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":291,"clock_position":291,"value":316},{"alpha_index":619,"clock_position":619,"value":707},{"alpha_index":947,"clock_position":947,"value":391},{"alpha_index":1275,"clock_position":1275,"value":667},{"alpha_index":1603,"clock_position":1603,"value":276},{"alpha_index":1931,"clock_position":1931,"value":592}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-292","alpha_indices":[292,620,948,1276,1604,1932],"clock_positions":[292,620,948,1276,1604,1932],"native_values":[189,737,548,794,246,435],"rotation_degrees":53.41463414634146,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":292,"clock_position":292,"value":189},{"alpha_index":620,"clock_position":620,"value":737},{"alpha_index":948,"clock_position":948,"value":548},{"alpha_index":1276,"clock_position":1276,"value":794},{"alpha_index":1604,"clock_position":1604,"value":246},{"alpha_index":1932,"clock_position":1932,"value":435}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-293","alpha_indices":[293,621,949,1277,1605,1933],"clock_positions":[293,621,949,1277,1605,1933],"native_values":[505,461,939,478,522,44],"rotation_degrees":53.59756097560975,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":293,"clock_position":293,"value":505},{"alpha_index":621,"clock_position":621,"value":461},{"alpha_index":949,"clock_position":949,"value":939},{"alpha_index":1277,"clock_position":1277,"value":478},{"alpha_index":1605,"clock_position":1605,"value":522},{"alpha_index":1933,"clock_position":1933,"value":44}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-294","alpha_indices":[294,622,950,1278,1606,1934],"clock_positions":[294,622,950,1278,1606,1934],"native_values":[694,215,504,289,768,479],"rotation_degrees":53.78048780487805,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":294,"clock_position":294,"value":694},{"alpha_index":622,"clock_position":622,"value":215},{"alpha_index":950,"clock_position":950,"value":504},{"alpha_index":1278,"clock_position":1278,"value":289},{"alpha_index":1606,"clock_position":1606,"value":768},{"alpha_index":1934,"clock_position":1934,"value":479}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-295","alpha_indices":[295,623,951,1279,1607,1935],"clock_positions":[295,623,951,1279,1607,1935],"native_values":[216,676,460,767,307,523],"rotation_degrees":53.96341463414634,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":295,"clock_position":295,"value":216},{"alpha_index":623,"clock_position":623,"value":676},{"alpha_index":951,"clock_position":951,"value":460},{"alpha_index":1279,"clock_position":1279,"value":767},{"alpha_index":1607,"clock_position":1607,"value":307},{"alpha_index":1935,"clock_position":1935,"value":523}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-296","alpha_indices":[296,624,952,1280,1608,1936],"clock_positions":[296,624,952,1280,1608,1936],"native_values":[910,891,964,73,92,19],"rotation_degrees":54.146341463414636,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":296,"clock_position":296,"value":910},{"alpha_index":624,"clock_position":624,"value":891},{"alpha_index":952,"clock_position":952,"value":964},{"alpha_index":1280,"clock_position":1280,"value":73},{"alpha_index":1608,"clock_position":1608,"value":92},{"alpha_index":1936,"clock_position":1936,"value":19}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-297","alpha_indices":[297,625,953,1281,1609,1937],"clock_positions":[297,625,953,1281,1609,1937],"native_values":[143,584,441,840,399,542],"rotation_degrees":54.329268292682926,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":297,"clock_position":297,"value":143},{"alpha_index":625,"clock_position":625,"value":584},{"alpha_index":953,"clock_position":953,"value":441},{"alpha_index":1281,"clock_position":1281,"value":840},{"alpha_index":1609,"clock_position":1609,"value":399},{"alpha_index":1937,"clock_position":1937,"value":542}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-298","alpha_indices":[298,626,954,1282,1610,1938],"clock_positions":[298,626,954,1282,1610,1938],"native_values":[70,492,422,913,491,561],"rotation_degrees":54.51219512195122,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":298,"clock_position":298,"value":70},{"alpha_index":626,"clock_position":626,"value":492},{"alpha_index":954,"clock_position":954,"value":422},{"alpha_index":1282,"clock_position":1282,"value":913},{"alpha_index":1610,"clock_position":1610,"value":491},{"alpha_index":1938,"clock_position":1938,"value":561}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-299","alpha_indices":[299,627,955,1283,1611,1939],"clock_positions":[299,627,955,1283,1611,1939],"native_values":[213,93,863,770,890,120],"rotation_degrees":54.69512195121951,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":299,"clock_position":299,"value":213},{"alpha_index":627,"clock_position":627,"value":93},{"alpha_index":955,"clock_position":955,"value":863},{"alpha_index":1283,"clock_position":1283,"value":770},{"alpha_index":1611,"clock_position":1611,"value":890},{"alpha_index":1939,"clock_position":1939,"value":120}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-300","alpha_indices":[300,628,956,1284,1612,1940],"clock_positions":[300,628,956,1284,1612,1940],"native_values":[283,585,302,700,398,681],"rotation_degrees":54.8780487804878,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":300,"clock_position":300,"value":283},{"alpha_index":628,"clock_position":628,"value":585},{"alpha_index":956,"clock_position":956,"value":302},{"alpha_index":1284,"clock_position":1284,"value":700},{"alpha_index":1612,"clock_position":1612,"value":398},{"alpha_index":1940,"clock_position":1940,"value":681}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-301","alpha_indices":[301,629,957,1285,1613,1941],"clock_positions":[301,629,957,1285,1613,1941],"native_values":[496,678,182,487,305,801],"rotation_degrees":55.0609756097561,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":301,"clock_position":301,"value":496},{"alpha_index":629,"clock_position":629,"value":678},{"alpha_index":957,"clock_position":957,"value":182},{"alpha_index":1285,"clock_position":1285,"value":487},{"alpha_index":1613,"clock_position":1613,"value":305},{"alpha_index":1941,"clock_position":1941,"value":801}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-302","alpha_indices":[302,630,958,1286,1614,1942],"clock_positions":[302,630,958,1286,1614,1942],"native_values":[779,280,484,204,703,499],"rotation_degrees":55.24390243902439,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":302,"clock_position":302,"value":779},{"alpha_index":630,"clock_position":630,"value":280},{"alpha_index":958,"clock_position":958,"value":484},{"alpha_index":1286,"clock_position":1286,"value":204},{"alpha_index":1614,"clock_position":1614,"value":703},{"alpha_index":1942,"clock_position":1942,"value":499}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-303","alpha_indices":[303,631,959,1287,1615,1943],"clock_positions":[303,631,959,1287,1615,1943],"native_values":[292,958,666,691,25,317],"rotation_degrees":55.426829268292686,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":303,"clock_position":303,"value":292},{"alpha_index":631,"clock_position":631,"value":958},{"alpha_index":959,"clock_position":959,"value":666},{"alpha_index":1287,"clock_position":1287,"value":691},{"alpha_index":1615,"clock_position":1615,"value":25},{"alpha_index":1943,"clock_position":1943,"value":317}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-304","alpha_indices":[304,632,960,1288,1616,1944],"clock_positions":[304,632,960,1288,1616,1944],"native_values":[88,255,167,895,728,816],"rotation_degrees":55.609756097560975,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":304,"clock_position":304,"value":88},{"alpha_index":632,"clock_position":632,"value":255},{"alpha_index":960,"clock_position":960,"value":167},{"alpha_index":1288,"clock_position":1288,"value":895},{"alpha_index":1616,"clock_position":1616,"value":728},{"alpha_index":1944,"clock_position":1944,"value":816}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-305","alpha_indices":[305,633,961,1289,1617,1945],"clock_positions":[305,633,961,1289,1617,1945],"native_values":[380,230,833,603,753,150],"rotation_degrees":55.792682926829265,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":305,"clock_position":305,"value":380},{"alpha_index":633,"clock_position":633,"value":230},{"alpha_index":961,"clock_position":961,"value":833},{"alpha_index":1289,"clock_position":1289,"value":603},{"alpha_index":1617,"clock_position":1617,"value":753},{"alpha_index":1945,"clock_position":1945,"value":150}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-306","alpha_indices":[306,634,962,1290,1618,1946],"clock_positions":[306,634,962,1290,1618,1946],"native_values":[468,485,17,515,498,966],"rotation_degrees":55.97560975609756,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":306,"clock_position":306,"value":468},{"alpha_index":634,"clock_position":634,"value":485},{"alpha_index":962,"clock_position":962,"value":17},{"alpha_index":1290,"clock_position":1290,"value":515},{"alpha_index":1618,"clock_position":1618,"value":498},{"alpha_index":1946,"clock_position":1946,"value":966}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-307","alpha_indices":[307,635,963,1291,1619,1947],"clock_positions":[307,635,963,1291,1619,1947],"native_values":[848,715,850,135,268,133],"rotation_degrees":56.15853658536585,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":307,"clock_position":307,"value":848},{"alpha_index":635,"clock_position":635,"value":715},{"alpha_index":963,"clock_position":963,"value":850},{"alpha_index":1291,"clock_position":1291,"value":135},{"alpha_index":1619,"clock_position":1619,"value":268},{"alpha_index":1947,"clock_position":1947,"value":133}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-308","alpha_indices":[308,636,964,1292,1620,1948],"clock_positions":[308,636,964,1292,1620,1948],"native_values":[333,217,867,650,766,116],"rotation_degrees":56.34146341463415,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":308,"clock_position":308,"value":333},{"alpha_index":636,"clock_position":636,"value":217},{"alpha_index":964,"clock_position":964,"value":867},{"alpha_index":1292,"clock_position":1292,"value":650},{"alpha_index":1620,"clock_position":1620,"value":766},{"alpha_index":1948,"clock_position":1948,"value":116}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-309","alpha_indices":[309,637,965,1293,1621,1949],"clock_positions":[309,637,965,1293,1621,1949],"native_values":[198,932,734,785,51,249],"rotation_degrees":56.52439024390244,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":309,"clock_position":309,"value":198},{"alpha_index":637,"clock_position":637,"value":932},{"alpha_index":965,"clock_position":965,"value":734},{"alpha_index":1293,"clock_position":1293,"value":785},{"alpha_index":1621,"clock_position":1621,"value":51},{"alpha_index":1949,"clock_position":1949,"value":249}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-310","alpha_indices":[310,638,966,1294,1622,1950],"clock_positions":[310,638,966,1294,1622,1950],"native_values":[531,166,618,452,817,365],"rotation_degrees":56.707317073170735,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":310,"clock_position":310,"value":531},{"alpha_index":638,"clock_position":638,"value":166},{"alpha_index":966,"clock_position":966,"value":618},{"alpha_index":1294,"clock_position":1294,"value":452},{"alpha_index":1622,"clock_position":1622,"value":817},{"alpha_index":1950,"clock_position":1950,"value":365}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-311","alpha_indices":[311,639,967,1295,1623,1951],"clock_positions":[311,639,967,1295,1623,1951],"native_values":[729,115,369,254,868,614],"rotation_degrees":56.890243902439025,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":311,"clock_position":311,"value":729},{"alpha_index":639,"clock_position":639,"value":115},{"alpha_index":967,"clock_position":967,"value":369},{"alpha_index":1295,"clock_position":1295,"value":254},{"alpha_index":1623,"clock_position":1623,"value":868},{"alpha_index":1951,"clock_position":1951,"value":614}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-312","alpha_indices":[312,640,968,1296,1624,1952],"clock_positions":[312,640,968,1296,1624,1952],"native_values":[277,281,4,706,702,979],"rotation_degrees":57.073170731707314,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":312,"clock_position":312,"value":277},{"alpha_index":640,"clock_position":640,"value":281},{"alpha_index":968,"clock_position":968,"value":4},{"alpha_index":1296,"clock_position":1296,"value":706},{"alpha_index":1624,"clock_position":1624,"value":702},{"alpha_index":1952,"clock_position":1952,"value":979}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-313","alpha_indices":[313,641,969,1297,1625,1953],"clock_positions":[313,641,969,1297,1625,1953],"native_values":[23,396,373,960,587,610],"rotation_degrees":57.25609756097561,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":313,"clock_position":313,"value":23},{"alpha_index":641,"clock_position":641,"value":396},{"alpha_index":969,"clock_position":969,"value":373},{"alpha_index":1297,"clock_position":1297,"value":960},{"alpha_index":1625,"clock_position":1625,"value":587},{"alpha_index":1953,"clock_position":1953,"value":610}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-314","alpha_indices":[314,642,970,1298,1626,1954],"clock_positions":[314,642,970,1298,1626,1954],"native_values":[300,677,377,683,306,606],"rotation_degrees":57.4390243902439,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":314,"clock_position":314,"value":300},{"alpha_index":642,"clock_position":642,"value":677},{"alpha_index":970,"clock_position":970,"value":377},{"alpha_index":1298,"clock_position":1298,"value":683},{"alpha_index":1626,"clock_position":1626,"value":306},{"alpha_index":1954,"clock_position":1954,"value":606}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-315","alpha_indices":[315,643,971,1299,1627,1955],"clock_positions":[315,643,971,1299,1627,1955],"native_values":[323,90,750,660,893,233],"rotation_degrees":57.6219512195122,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":315,"clock_position":315,"value":323},{"alpha_index":643,"clock_position":643,"value":90},{"alpha_index":971,"clock_position":971,"value":750},{"alpha_index":1299,"clock_position":1299,"value":660},{"alpha_index":1627,"clock_position":1627,"value":893},{"alpha_index":1955,"clock_position":1955,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-316","alpha_indices":[316,644,972,1300,1628,1956],"clock_positions":[316,644,972,1300,1628,1956],"native_values":[623,767,144,360,216,839],"rotation_degrees":57.80487804878049,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":316,"clock_position":316,"value":623},{"alpha_index":644,"clock_position":644,"value":767},{"alpha_index":972,"clock_position":972,"value":144},{"alpha_index":1300,"clock_position":1300,"value":360},{"alpha_index":1628,"clock_position":1628,"value":216},{"alpha_index":1956,"clock_position":1956,"value":839}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-317","alpha_indices":[317,645,973,1301,1629,1957],"clock_positions":[317,645,973,1301,1629,1957],"native_values":[946,857,894,37,126,89],"rotation_degrees":57.98780487804878,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":317,"clock_position":317,"value":946},{"alpha_index":645,"clock_position":645,"value":857},{"alpha_index":973,"clock_position":973,"value":894},{"alpha_index":1301,"clock_position":1301,"value":37},{"alpha_index":1629,"clock_position":1629,"value":126},{"alpha_index":1957,"clock_position":1957,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-318","alpha_indices":[318,646,974,1302,1630,1958],"clock_positions":[318,646,974,1302,1630,1958],"native_values":[586,641,55,397,342,928],"rotation_degrees":58.170731707317074,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":318,"clock_position":318,"value":586},{"alpha_index":646,"clock_position":646,"value":641},{"alpha_index":974,"clock_position":974,"value":55},{"alpha_index":1302,"clock_position":1302,"value":397},{"alpha_index":1630,"clock_position":1630,"value":342},{"alpha_index":1958,"clock_position":1958,"value":928}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-319","alpha_indices":[319,647,975,1303,1631,1959],"clock_positions":[319,647,975,1303,1631,1959],"native_values":[549,515,949,434,468,34],"rotation_degrees":58.353658536585364,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":319,"clock_position":319,"value":549},{"alpha_index":647,"clock_position":647,"value":515},{"alpha_index":975,"clock_position":975,"value":949},{"alpha_index":1303,"clock_position":1303,"value":434},{"alpha_index":1631,"clock_position":1631,"value":468},{"alpha_index":1959,"clock_position":1959,"value":34}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-320","alpha_indices":[320,648,976,1304,1632,1960],"clock_positions":[320,648,976,1304,1632,1960],"native_values":[152,173,21,831,810,962],"rotation_degrees":58.53658536585366,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":320,"clock_position":320,"value":152},{"alpha_index":648,"clock_position":648,"value":173},{"alpha_index":976,"clock_position":976,"value":21},{"alpha_index":1304,"clock_position":1304,"value":831},{"alpha_index":1632,"clock_position":1632,"value":810},{"alpha_index":1960,"clock_position":1960,"value":962}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-321","alpha_indices":[321,649,977,1305,1633,1961],"clock_positions":[321,649,977,1305,1633,1961],"native_values":[701,688,970,282,295,13],"rotation_degrees":58.71951219512195,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":321,"clock_position":321,"value":701},{"alpha_index":649,"clock_position":649,"value":688},{"alpha_index":977,"clock_position":977,"value":970},{"alpha_index":1305,"clock_position":1305,"value":282},{"alpha_index":1633,"clock_position":1633,"value":295},{"alpha_index":1961,"clock_position":1961,"value":13}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-322","alpha_indices":[322,650,978,1306,1634,1962],"clock_positions":[322,650,978,1306,1634,1962],"native_values":[853,861,8,130,122,975],"rotation_degrees":58.90243902439025,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":322,"clock_position":322,"value":853},{"alpha_index":650,"clock_position":650,"value":861},{"alpha_index":978,"clock_position":978,"value":8},{"alpha_index":1306,"clock_position":1306,"value":130},{"alpha_index":1634,"clock_position":1634,"value":122},{"alpha_index":1962,"clock_position":1962,"value":975}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-323","alpha_indices":[323,651,979,1307,1635,1963],"clock_positions":[323,651,979,1307,1635,1963],"native_values":[571,566,978,412,417,5],"rotation_degrees":59.08536585365854,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":323,"clock_position":323,"value":571},{"alpha_index":651,"clock_position":651,"value":566},{"alpha_index":979,"clock_position":979,"value":978},{"alpha_index":1307,"clock_position":1307,"value":412},{"alpha_index":1635,"clock_position":1635,"value":417},{"alpha_index":1963,"clock_position":1963,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-324","alpha_indices":[324,652,980,1308,1636,1964],"clock_positions":[324,652,980,1308,1636,1964],"native_values":[441,444,3,542,539,980],"rotation_degrees":59.26829268292683,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":324,"clock_position":324,"value":441},{"alpha_index":652,"clock_position":652,"value":444},{"alpha_index":1308,"clock_position":1308,"value":542},{"alpha_index":1636,"clock_position":1636,"value":539},{"alpha_index":1964,"clock_position":1964,"value":980}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-325","alpha_indices":[325,653,981,1309,1637,1965],"clock_positions":[325,653,981,1309,1637,1965],"native_values":[29,27,981,954,956,2],"rotation_degrees":59.451219512195124,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":325,"clock_position":325,"value":29},{"alpha_index":653,"clock_position":653,"value":27},{"alpha_index":981,"clock_position":981,"value":981},{"alpha_index":1309,"clock_position":1309,"value":954},{"alpha_index":1637,"clock_position":1637,"value":956},{"alpha_index":1965,"clock_position":1965,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-326","alpha_indices":[326,654,982,1310,1638,1966],"clock_positions":[326,654,982,1310,1638,1966],"native_values":[470,471,1,513,512,982],"rotation_degrees":59.63414634146341,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":326,"clock_position":326,"value":470},{"alpha_index":654,"clock_position":654,"value":471},{"alpha_index":982,"clock_position":982,"value":1},{"alpha_index":1310,"clock_position":1310,"value":513},{"alpha_index":1638,"clock_position":1638,"value":512},{"alpha_index":1966,"clock_position":1966,"value":982}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-327","alpha_indices":[327,655,983,1311,1639,1967],"clock_positions":[327,655,983,1311,1639,1967],"native_values":[499,498,982,484,485,1],"rotation_degrees":59.81707317073171,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":327,"clock_position":327,"value":499},{"alpha_index":655,"clock_position":655,"value":498},{"alpha_index":983,"clock_position":983,"value":982},{"alpha_index":1311,"clock_position":1311,"value":484},{"alpha_index":1639,"clock_position":1639,"value":485},{"alpha_index":1967,"clock_position":1967,"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/m983/alpha.svg","png":"pilot-v1/views/m983/alpha.png"},{"id":"beta","name":"Beta","svg":"pilot-v1/views/m983/beta.svg","png":"pilot-v1/views/m983/beta.png"},{"id":"gamma","name":"Gamma","svg":"pilot-v1/views/m983/gamma.svg","png":"pilot-v1/views/m983/gamma.png"},{"id":"fibonacci-m983p1968","name":"Fibonacci M983P1968","svg":"pilot-v1/views/m983/fibonacci-m983p1968.svg","png":"pilot-v1/views/m983/fibonacci-m983p1968.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}}