{"schema_version":"2.3.0","dataset_version":"m1-m1001-v1","id":"fibonacci-m590-p1740","name":"Fibonacci M590P1740","modulus":590,"pisano_period":1740,"conventions":{"index_origin":0,"clock_labels":[1740,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739],"orientation":"clockwise from north","zero_display":590,"alpha_circle_positions":1740,"beta_circle_positions":590,"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":[0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,20,397,417,224,51,275,326,11,337,348,95,443,538,391,339,140,479,29,508,537,455,402,267,79,346,425,181,16,197,213,410,33,443,476,329,215,544,169,123,292,415,117,532,59,1,60,61,121,182,303,485,198,93,291,384,85,469,554,433,397,240,47,287,334,31,365,396,171,567,148,125,273,398,81,479,560,449,419,278,107,385,492,287,189,476,75,551,36,587,33,30,63,93,156,249,405,64,469,533,412,355,177,532,119,61,180,241,421,72,493,565,468,443,321,174,495,79,574,63,47,110,157,267,424,101,525,36,561,7,568,575,553,538,501,449,360,219,579,208,197,405,12,417,429,256,95,351,446,207,63,270,333,13,346,359,115,474,589,473,472,355,237,2,239,241,480,131,21,152,173,325,498,233,141,374,515,299,224,523,157,90,247,337,584,331,325,66,391,457,258,125,383,508,301,219,520,149,79,228,307,535,252,197,449,56,505,561,476,447,333,190,523,123,56,179,235,414,59,473,532,415,357,182,539,131,80,211,291,502,203,115,318,433,161,4,165,169,334,503,247,160,407,567,384,361,155,516,81,7,88,95,183,278,461,149,20,169,189,358,547,315,272,587,269,266,535,211,156,367,523,300,233,533,176,119,295,414,119,533,62,5,67,72,139,211,350,561,321,292,23,315,338,63,401,464,275,149,424,573,407,390,207,7,214,221,435,66,501,567,478,455,343,208,551,169,130,299,429,138,567,115,92,207,299,506,215,131,346,477,233,120,353,473,236,119,355,474,239,123,362,485,257,152,409,561,380,351,141,492,43,535,578,523,511,444,365,219,584,213,207,420,37,457,494,361,265,36,301,337,48,385,433,228,71,299,370,79,449,528,387,325,122,447,569,426,405,241,56,297,353,60,413,473,296,179,475,64,539,13,552,565,527,502,439,351,200,551,161,122,283,405,98,503,11,514,525,449,384,243,37,280,317,7,324,331,65,396,461,267,138,405,543,358,311,79,390,469,269,148,417,565,392,367,169,536,115,61,176,237,413,60,473,533,416,359,185,544,139,93,232,325,557,292,259,551,220,181,401,582,393,385,188,573,171,154,325,479,214,103,317,420,147,567,124,101,225,326,551,287,248,535,193,138,331,469,210,89,299,388,97,485,582,477,469,356,235,1,236,237,473,120,3,123,126,249,375,34,409,443,262,115,377,492,279,181,460,51,511,562,483,455,348,213,561,184,155,339,494,243,147,390,537,337,284,31,315,346,71,417,488,315,213,528,151,89,240,329,569,308,287,5,292,297,589,296,295,1,296,297,3,300,303,13,316,329,55,384,439,233,82,315,397,122,519,51,570,31,11,42,53,95,148,243,391,44,435,479,324,213,537,160,107,267,374,51,425,476,311,197,508,115,33,148,181,329,510,249,169,418,587,415,412,237,59,296,355,61,416,477,303,190,493,93,586,89,85,174,259,433,102,535,47,582,39,31,70,101,171,272,443,125,568,103,81,184,265,449,124,573,107,90,197,287,484,181,75,256,331,587,328,325,63,388,451,249,110,359,469,238,117,355,472,237,119,356,475,241,126,367,493,270,173,443,26,469,495,374,279,63,342,405,157,562,129,101,230,331,561,302,273,575,258,243,501,154,65,219,284,503,197,110,307,417,134,551,95,56,151,207,358,565,333,308,51,359,410,179,589,178,177,355,532,297,239,536,185,131,316,447,173,30,203,233,436,79,515,4,519,523,452,385,247,42,289,331,30,361,391,162,553,125,88,213,301,514,225,149,374,523,307,240,547,197,154,351,505,266,181,447,38,485,523,418,351,179,530,119,59,178,237,415,62,477,539,426,375,211,586,207,203,410,23,433,456,299,165,464,39,503,542,455,407,272,89,361,450,221,81,302,383,95,478,573,461,444,315,169,484,63,547,20,567,587,564,561,535,506,451,367,228,5,233,238,471,119,0,119,119,238,357,5,362,367,139,506,55,561,26,587,23,20,43,63,106,169,275,444,129,573,112,95,207,302,509,221,140,361,501,272,183,455,48,503,551,464,425,299,134,433,567,410,387,207,4,211,215,426,51,477,528,415,353,178,531,119,60,179,239,418,67,485,552,447,409,266,85,351,436,197,43,240,283,523,216,149,365,514,289,213,502,125,37,162,199,361,560,331,301,42,343,385,138,523,71,4,75,79,154,233,387,30,417,447,274,131,405,536,351,297,58,355,413,178,1,179,180,359,539,308,257,565,232,207,439,56,495,551,456,417,283,110,393,503,306,219,525,154,89,243,332,575,317,302,29,331,360,101,461,562,433,405,248,63,311,374,95,469,564,443,417,270,97,367,464,241,115,356,471,237,118,355,473,238,121,359,480,249,139,388,527,325,262,587,259,256,515,181,106,287,393,90,483,573,466,449,325,184,509,103,22,125,147,272,419,101,520,31,551,582,543,535,488,433,331,174,505,89,4,93,97,190,287,477,174,61,235,296,531,237,178,415,3,418,421,249,80,329,409,148,557,115,82,197,279,476,165,51,216,267,483,160,53,213,266,479,155,44,199,243,442,95,537,42,579,31,20,51,71,122,193,315,508,233,151,384,535,329,274,13,287,300,587,297,294,1,295,296,1,297,298,5,303,308,21,329,350,89,439,528,377,315,102,417,519,346,275,31,306,337,53,390,443,243,96,339,435,184,29,213,242,455,107,562,79,51,130,181,311,492,213,115,328,443,181,34,215,249,464,123,587,120,117,237,354,1,355,356,121,477,8,485,493,388,291,89,380,469,259,138,397,535,342,287,39,326,365,101,466,567,443,420,273,103,376,479,265,154,419,573,402,385,197,582,189,181,370,551,331,292,33,325,358,93,451,544,405,359,174,533,117,60,177,237,414,61,475,536,421,367,198,565,173,148,321,469,200,79,279,358,47,405,452,267,129,396,525,331,266,7,273,280,553,243,206,449,65,514,579,503,492,405,307,122,429,551,390,351,151,502,63,565,38,13,51,64,115,179,294,473,177,60,237,297,534,241,185,426,21,447,468,325,203,528,141,79,220,299,519,228,157,385,542,337,289,36,325,361,96,457,553,420,383,213,6,219,225,444,79,523,12,535,547,492,449,351,210,561,181,152,333,485,228,123,351,474,235,119,354,473,237,120,357,477,244,131,375,506,291,207,498,115,23,138,161,299,460,169,39,208,247,455,112,567,89,66,155,221,376,7,383,390,183,573,166,149,315,464,189,63,252,315,567,292,269,561,240,211,451,72,523,5,528,533,471,414,295,119,414,533,357,300,67,367,434,211,55,266,321,587,318,315,43,358,401,169,570,149,129,278,407,95,502,7,509,516,435,361,206,567,183,160,343,503,256,169,425,4,429,433,272,115,387,502,299,211,510,131,51,182,233,415,58,473,531,414,355,179,534,123,67,190,257,447,114,561,85,56,141,197,338,535,283,228,511,149,70,219,289,508,207,125,332,457,199,66,265,331,6,337,343,90,433,523,366,299,75,374,449,233,92,325,417,152,569,131,110,241,351,2,353,355,118,473,1,474,475,359,244,13,257,270,527,207,144,351,495,256,161,417,578,405,393,208,11,219,230,449,89,538,37,575,22,7,29,36,65,101,166,267,433,110,543,63,16,79,95,174,269,443,122,565,97,72,169,241,410,61,471,532,413,355,178,533,121,64,185,249,434,93,527,30,557,587,554,551,515,476,401,287,98,385,483,278,171,449,30,479,509,398,317,125,442,567,419,396,225,31,256,287,543,240,193,433,36,469,505,384,299,93,392,485,287,182,469,61,530,1,531,532,473,415,298,123,421,544,375,329,114,443,557,410,377,197,574,181,165,346,511,267,188,455,53,508,561,479,450,339,199,538,147,95,242,337,579,326,315,51,366,417,193,20,213,233,446,89,535,34,569,13,582,5,587,2,589,1],"display_values":[590,1,1,2,3,5,8,13,21,34,55,89,144,233,377,20,397,417,224,51,275,326,11,337,348,95,443,538,391,339,140,479,29,508,537,455,402,267,79,346,425,181,16,197,213,410,33,443,476,329,215,544,169,123,292,415,117,532,59,1,60,61,121,182,303,485,198,93,291,384,85,469,554,433,397,240,47,287,334,31,365,396,171,567,148,125,273,398,81,479,560,449,419,278,107,385,492,287,189,476,75,551,36,587,33,30,63,93,156,249,405,64,469,533,412,355,177,532,119,61,180,241,421,72,493,565,468,443,321,174,495,79,574,63,47,110,157,267,424,101,525,36,561,7,568,575,553,538,501,449,360,219,579,208,197,405,12,417,429,256,95,351,446,207,63,270,333,13,346,359,115,474,589,473,472,355,237,2,239,241,480,131,21,152,173,325,498,233,141,374,515,299,224,523,157,90,247,337,584,331,325,66,391,457,258,125,383,508,301,219,520,149,79,228,307,535,252,197,449,56,505,561,476,447,333,190,523,123,56,179,235,414,59,473,532,415,357,182,539,131,80,211,291,502,203,115,318,433,161,4,165,169,334,503,247,160,407,567,384,361,155,516,81,7,88,95,183,278,461,149,20,169,189,358,547,315,272,587,269,266,535,211,156,367,523,300,233,533,176,119,295,414,119,533,62,5,67,72,139,211,350,561,321,292,23,315,338,63,401,464,275,149,424,573,407,390,207,7,214,221,435,66,501,567,478,455,343,208,551,169,130,299,429,138,567,115,92,207,299,506,215,131,346,477,233,120,353,473,236,119,355,474,239,123,362,485,257,152,409,561,380,351,141,492,43,535,578,523,511,444,365,219,584,213,207,420,37,457,494,361,265,36,301,337,48,385,433,228,71,299,370,79,449,528,387,325,122,447,569,426,405,241,56,297,353,60,413,473,296,179,475,64,539,13,552,565,527,502,439,351,200,551,161,122,283,405,98,503,11,514,525,449,384,243,37,280,317,7,324,331,65,396,461,267,138,405,543,358,311,79,390,469,269,148,417,565,392,367,169,536,115,61,176,237,413,60,473,533,416,359,185,544,139,93,232,325,557,292,259,551,220,181,401,582,393,385,188,573,171,154,325,479,214,103,317,420,147,567,124,101,225,326,551,287,248,535,193,138,331,469,210,89,299,388,97,485,582,477,469,356,235,1,236,237,473,120,3,123,126,249,375,34,409,443,262,115,377,492,279,181,460,51,511,562,483,455,348,213,561,184,155,339,494,243,147,390,537,337,284,31,315,346,71,417,488,315,213,528,151,89,240,329,569,308,287,5,292,297,589,296,295,1,296,297,3,300,303,13,316,329,55,384,439,233,82,315,397,122,519,51,570,31,11,42,53,95,148,243,391,44,435,479,324,213,537,160,107,267,374,51,425,476,311,197,508,115,33,148,181,329,510,249,169,418,587,415,412,237,59,296,355,61,416,477,303,190,493,93,586,89,85,174,259,433,102,535,47,582,39,31,70,101,171,272,443,125,568,103,81,184,265,449,124,573,107,90,197,287,484,181,75,256,331,587,328,325,63,388,451,249,110,359,469,238,117,355,472,237,119,356,475,241,126,367,493,270,173,443,26,469,495,374,279,63,342,405,157,562,129,101,230,331,561,302,273,575,258,243,501,154,65,219,284,503,197,110,307,417,134,551,95,56,151,207,358,565,333,308,51,359,410,179,589,178,177,355,532,297,239,536,185,131,316,447,173,30,203,233,436,79,515,4,519,523,452,385,247,42,289,331,30,361,391,162,553,125,88,213,301,514,225,149,374,523,307,240,547,197,154,351,505,266,181,447,38,485,523,418,351,179,530,119,59,178,237,415,62,477,539,426,375,211,586,207,203,410,23,433,456,299,165,464,39,503,542,455,407,272,89,361,450,221,81,302,383,95,478,573,461,444,315,169,484,63,547,20,567,587,564,561,535,506,451,367,228,5,233,238,471,119,590,119,119,238,357,5,362,367,139,506,55,561,26,587,23,20,43,63,106,169,275,444,129,573,112,95,207,302,509,221,140,361,501,272,183,455,48,503,551,464,425,299,134,433,567,410,387,207,4,211,215,426,51,477,528,415,353,178,531,119,60,179,239,418,67,485,552,447,409,266,85,351,436,197,43,240,283,523,216,149,365,514,289,213,502,125,37,162,199,361,560,331,301,42,343,385,138,523,71,4,75,79,154,233,387,30,417,447,274,131,405,536,351,297,58,355,413,178,1,179,180,359,539,308,257,565,232,207,439,56,495,551,456,417,283,110,393,503,306,219,525,154,89,243,332,575,317,302,29,331,360,101,461,562,433,405,248,63,311,374,95,469,564,443,417,270,97,367,464,241,115,356,471,237,118,355,473,238,121,359,480,249,139,388,527,325,262,587,259,256,515,181,106,287,393,90,483,573,466,449,325,184,509,103,22,125,147,272,419,101,520,31,551,582,543,535,488,433,331,174,505,89,4,93,97,190,287,477,174,61,235,296,531,237,178,415,3,418,421,249,80,329,409,148,557,115,82,197,279,476,165,51,216,267,483,160,53,213,266,479,155,44,199,243,442,95,537,42,579,31,20,51,71,122,193,315,508,233,151,384,535,329,274,13,287,300,587,297,294,1,295,296,1,297,298,5,303,308,21,329,350,89,439,528,377,315,102,417,519,346,275,31,306,337,53,390,443,243,96,339,435,184,29,213,242,455,107,562,79,51,130,181,311,492,213,115,328,443,181,34,215,249,464,123,587,120,117,237,354,1,355,356,121,477,8,485,493,388,291,89,380,469,259,138,397,535,342,287,39,326,365,101,466,567,443,420,273,103,376,479,265,154,419,573,402,385,197,582,189,181,370,551,331,292,33,325,358,93,451,544,405,359,174,533,117,60,177,237,414,61,475,536,421,367,198,565,173,148,321,469,200,79,279,358,47,405,452,267,129,396,525,331,266,7,273,280,553,243,206,449,65,514,579,503,492,405,307,122,429,551,390,351,151,502,63,565,38,13,51,64,115,179,294,473,177,60,237,297,534,241,185,426,21,447,468,325,203,528,141,79,220,299,519,228,157,385,542,337,289,36,325,361,96,457,553,420,383,213,6,219,225,444,79,523,12,535,547,492,449,351,210,561,181,152,333,485,228,123,351,474,235,119,354,473,237,120,357,477,244,131,375,506,291,207,498,115,23,138,161,299,460,169,39,208,247,455,112,567,89,66,155,221,376,7,383,390,183,573,166,149,315,464,189,63,252,315,567,292,269,561,240,211,451,72,523,5,528,533,471,414,295,119,414,533,357,300,67,367,434,211,55,266,321,587,318,315,43,358,401,169,570,149,129,278,407,95,502,7,509,516,435,361,206,567,183,160,343,503,256,169,425,4,429,433,272,115,387,502,299,211,510,131,51,182,233,415,58,473,531,414,355,179,534,123,67,190,257,447,114,561,85,56,141,197,338,535,283,228,511,149,70,219,289,508,207,125,332,457,199,66,265,331,6,337,343,90,433,523,366,299,75,374,449,233,92,325,417,152,569,131,110,241,351,2,353,355,118,473,1,474,475,359,244,13,257,270,527,207,144,351,495,256,161,417,578,405,393,208,11,219,230,449,89,538,37,575,22,7,29,36,65,101,166,267,433,110,543,63,16,79,95,174,269,443,122,565,97,72,169,241,410,61,471,532,413,355,178,533,121,64,185,249,434,93,527,30,557,587,554,551,515,476,401,287,98,385,483,278,171,449,30,479,509,398,317,125,442,567,419,396,225,31,256,287,543,240,193,433,36,469,505,384,299,93,392,485,287,182,469,61,530,1,531,532,473,415,298,123,421,544,375,329,114,443,557,410,377,197,574,181,165,346,511,267,188,455,53,508,561,479,450,339,199,538,147,95,242,337,579,326,315,51,366,417,193,20,213,233,446,89,535,34,569,13,582,5,587,2,589,1]},"gamma":{"alpha_indices":[0,4,8,12,17,19,24,29,34,36,37,44,46,53,56,60,64,66,67,68,69,75,81,82,83,86,88,96,98,100,102,104,105,106,107,108,109,110,116,120,123,126,128,129,130,133,137,140,141,142,148,150,151,152,155,156,157,158,161,163,164,165,166,171,176,180,182,186,188,195,201,204,209,213,216,221,223,224,227,231,236,242,246,250,257,258,261,262,266,272,275,282,285,291,297,301,302,305,307,313,315,316,320,321,322,323,332,333,334,337,343,345,351,353,359,361,362,363,369,371,373,374,375,381,384,387,393,394,397,399,400,403,405,414,419,425,430,432,433,438,441,443,444,445,446,450,454,463,465,473,483,484,487,488,495,496,497,500,507,510,516,517,523,525,526,527,528,529,530,537,538,541,544,546,547,548,551,553,554,555,556,560,563,565,566,567,570,577,583,584,585,586,591,595,598,599,600,603,607,610,612,613,614,617,619,626,630,631,637,643,644,647,651,654,657,658,662,668,673,675,680,686,689,694,697,702,705,710,712,713,714,715,718,722,724,726,727,728,731,737,743,746,748,754,757,763,765,772,777,780,783,787,790,795,799,803,808,814,817,819,820,823,828,830,832,840,842,847,849,850,853,856,858,859,864,868,870,874,881,887,891,892,893,896,902,904,906,914,916,917,921,922,923,924,928,930,936,937,941,945,948,953,957,963,966,970,974,975,976,977,980,982,983,990,997,1000,1002,1003,1006,1008,1009,1010,1013,1020,1025,1027,1032,1034,1035,1042,1043,1050,1051,1064,1065,1066,1067,1076,1083,1084,1089,1093,1097,1098,1102,1103,1106,1109,1118,1120,1121,1122,1123,1124,1127,1133,1136,1137,1138,1141,1145,1149,1155,1157,1158,1163,1166,1168,1173,1175,1176,1177,1178,1182,1185,1187,1188,1189,1190,1193,1199,1203,1204,1211,1213,1215,1216,1217,1218,1223,1228,1233,1236,1238,1243,1245,1246,1253,1254,1257,1258,1264,1267,1270,1272,1274,1275,1276,1277,1278,1284,1288,1292,1295,1297,1298,1299,1300,1304,1307,1312,1314,1315,1318,1320,1321,1324,1328,1332,1334,1335,1336,1337,1338,1341,1342,1343,1344,1347,1348,1352,1353,1359,1362,1365,1367,1368,1369,1370,1371,1374,1377,1379,1380,1381,1384,1386,1387,1388,1389,1392,1394,1395,1396,1397,1400,1402,1403,1404,1407,1412,1417,1419,1425,1426,1427,1430,1432,1433,1434,1435,1436,1439,1440,1443,1446,1448,1449,1452,1454,1455,1462,1464,1465,1470,1472,1479,1480,1483,1484,1492,1496,1500,1502,1508,1509,1512,1513,1517,1518,1519,1522,1527,1531,1534,1539,1542,1545,1548,1550,1556,1562,1569,1575,1577,1578,1579,1580,1583,1585,1586,1589,1599,1603,1606,1607,1611,1617,1622,1631,1633,1635,1646,1648,1650,1657,1659,1660,1664,1665,1668,1671,1673,1682,1687,1690,1692,1700,1703,1708,1710,1711,1714,1718,1720,1721,1722,1723,1726,1734],"clock_positions":[1740,4,8,12,17,19,24,29,34,36,37,44,46,53,56,60,64,66,67,68,69,75,81,82,83,86,88,96,98,100,102,104,105,106,107,108,109,110,116,120,123,126,128,129,130,133,137,140,141,142,148,150,151,152,155,156,157,158,161,163,164,165,166,171,176,180,182,186,188,195,201,204,209,213,216,221,223,224,227,231,236,242,246,250,257,258,261,262,266,272,275,282,285,291,297,301,302,305,307,313,315,316,320,321,322,323,332,333,334,337,343,345,351,353,359,361,362,363,369,371,373,374,375,381,384,387,393,394,397,399,400,403,405,414,419,425,430,432,433,438,441,443,444,445,446,450,454,463,465,473,483,484,487,488,495,496,497,500,507,510,516,517,523,525,526,527,528,529,530,537,538,541,544,546,547,548,551,553,554,555,556,560,563,565,566,567,570,577,583,584,585,586,591,595,598,599,600,603,607,610,612,613,614,617,619,626,630,631,637,643,644,647,651,654,657,658,662,668,673,675,680,686,689,694,697,702,705,710,712,713,714,715,718,722,724,726,727,728,731,737,743,746,748,754,757,763,765,772,777,780,783,787,790,795,799,803,808,814,817,819,820,823,828,830,832,840,842,847,849,850,853,856,858,859,864,868,870,874,881,887,891,892,893,896,902,904,906,914,916,917,921,922,923,924,928,930,936,937,941,945,948,953,957,963,966,970,974,975,976,977,980,982,983,990,997,1000,1002,1003,1006,1008,1009,1010,1013,1020,1025,1027,1032,1034,1035,1042,1043,1050,1051,1064,1065,1066,1067,1076,1083,1084,1089,1093,1097,1098,1102,1103,1106,1109,1118,1120,1121,1122,1123,1124,1127,1133,1136,1137,1138,1141,1145,1149,1155,1157,1158,1163,1166,1168,1173,1175,1176,1177,1178,1182,1185,1187,1188,1189,1190,1193,1199,1203,1204,1211,1213,1215,1216,1217,1218,1223,1228,1233,1236,1238,1243,1245,1246,1253,1254,1257,1258,1264,1267,1270,1272,1274,1275,1276,1277,1278,1284,1288,1292,1295,1297,1298,1299,1300,1304,1307,1312,1314,1315,1318,1320,1321,1324,1328,1332,1334,1335,1336,1337,1338,1341,1342,1343,1344,1347,1348,1352,1353,1359,1362,1365,1367,1368,1369,1370,1371,1374,1377,1379,1380,1381,1384,1386,1387,1388,1389,1392,1394,1395,1396,1397,1400,1402,1403,1404,1407,1412,1417,1419,1425,1426,1427,1430,1432,1433,1434,1435,1436,1439,1440,1443,1446,1448,1449,1452,1454,1455,1462,1464,1465,1470,1472,1479,1480,1483,1484,1492,1496,1500,1502,1508,1509,1512,1513,1517,1518,1519,1522,1527,1531,1534,1539,1542,1545,1548,1550,1556,1562,1569,1575,1577,1578,1579,1580,1583,1585,1586,1589,1599,1603,1606,1607,1611,1617,1622,1631,1633,1635,1646,1648,1650,1657,1659,1660,1664,1665,1668,1671,1673,1682,1687,1690,1692,1700,1703,1708,1710,1711,1714,1718,1720,1721,1722,1723,1726,1734],"clockwise_values":[590,3,21,144,417,51,348,339,537,402,267,213,33,123,117,60,303,198,93,291,384,240,396,171,567,273,81,492,189,75,36,33,30,63,93,156,249,405,177,180,72,468,321,174,495,63,267,525,36,561,501,360,219,579,405,12,417,429,351,207,63,270,333,474,237,480,21,498,141,90,66,258,219,228,252,561,447,333,123,414,357,291,318,165,567,384,516,81,183,189,315,156,300,414,72,561,321,315,63,573,390,207,435,66,501,567,429,138,567,207,477,120,474,123,561,351,141,492,444,219,213,207,420,36,48,228,528,387,447,426,405,297,60,552,351,405,525,384,243,324,396,267,138,405,543,390,417,237,60,93,582,393,573,171,420,147,567,225,138,210,582,477,237,120,3,123,126,249,375,492,279,51,483,348,213,561,339,243,147,390,537,315,417,315,213,528,240,297,297,3,300,303,384,315,519,51,570,42,243,435,324,213,537,267,51,33,510,249,237,477,303,93,174,102,582,39,171,81,573,90,75,63,249,117,237,126,270,495,279,63,342,405,129,561,273,258,243,501,219,417,207,333,51,177,297,447,30,519,42,30,162,213,225,240,351,447,351,237,477,426,375,207,456,165,39,450,81,573,444,315,63,567,564,561,228,471,590,357,561,63,444,129,573,207,501,183,48,567,387,207,426,51,477,528,531,60,552,447,351,240,216,213,162,42,138,75,387,30,417,447,405,351,297,180,207,495,456,417,393,306,219,525,243,360,405,63,564,417,270,471,237,480,249,393,90,483,573,147,582,543,174,93,477,174,531,237,3,249,279,165,51,216,267,483,213,243,537,42,579,51,315,384,300,297,294,297,303,21,528,315,102,417,519,306,390,243,96,339,435,213,51,492,213,249,123,120,117,237,354,477,291,138,342,39,567,420,273,573,402,582,189,33,93,405,174,117,60,177,237,414,198,321,279,405,267,129,396,525,273,243,579,492,405,429,390,351,63,51,294,177,60,237,297,534,426,21,447,468,528,141,519,228,36,96,420,213,6,219,225,444,12,492,351,210,561,333,228,123,351,474,354,237,120,357,477,375,291,207,498,138,39,567,66,390,183,573,315,189,63,252,315,567,561,240,72,528,471,414,414,357,300,321,318,315,570,129,516,435,567,183,429,387,510,51,531,414,534,123,447,114,561,141,228,219,207,66,6,90,366,75,417,351,474,270,207,144,351,495,417,405,393,219,36,267,543,63,174,72,471,249,93,30,483,171,30,567,396,225,543,240,36,384,93,531,123,375,114,165,267,561,450,339,147,579,315,51,366,417,213,582],"triangle_paths":[]},"beta":{"interval_sums":[4,26,178,1027,224,949,1467,1156,455,0,1244,410,2176,707,592,364,485,0,0,0,1938,1064,0,0,273,398,2677,287,476,551,587,0,0,0,0,0,0,1833,712,662,1058,443,0,0,653,314,525,0,0,2241,449,0,0,405,0,0,0,351,446,0,0,0,833,1889,482,131,650,233,2092,1824,848,1317,748,842,1207,476,0,713,470,1479,1143,820,598,1820,0,516,0,190,1077,905,2140,890,1356,786,700,0,315,338,1713,407,0,442,0,0,0,2633,0,0,207,1497,233,1536,239,1665,380,0,0,2190,365,584,0,0,1614,638,818,1268,0,447,569,0,297,353,2452,2033,1317,1126,449,0,641,396,461,0,0,0,748,886,2381,413,2649,3018,0,573,0,1592,0,0,225,2140,800,1358,0,1297,473,0,0,0,0,0,1640,0,641,1073,455,0,0,339,494,0,0,0,652,417,488,0,0,240,1790,1477,0,0,0,713,754,519,0,0,42,296,435,479,0,0,267,374,2032,658,0,2001,1187,0,683,760,692,582,0,202,1511,1022,107,1149,1827,839,1176,827,1191,860,1111,374,0,0,0,719,662,302,575,0,0,219,1401,987,923,308,1715,887,1407,173,1470,1607,620,752,766,815,1353,898,952,1464,1065,477,539,0,797,1069,299,464,2629,221,1258,461,0,653,567,587,0,1859,476,119,476,1434,699,550,0,0,207,1533,272,455,2809,410,0,430,0,0,0,946,119,1388,0,760,676,806,1317,664,1752,728,598,466,0,0,0,405,536,0,1184,2260,495,551,0,393,503,0,0,243,1886,1557,248,1249,443,0,1640,0,1664,0,3832,0,0,0,2183,1894,0,1787,598,574,0,592,0,593,839,1917,476,0,0,0,0,213,1143,537,0,0,51,386,892,1438,587,0,593,303,308,1207,377,0,0,0,652,390,443,0,0,0,213,1445,622,0,1316,464,587,0,0,0,833,1374,1197,932,287,1258,443,0,1796,0,582,0,1725,683,995,359,533,0,0,0,0,1860,886,748,405,452,0,0,0,604,833,1234,503,0,429,551,0,653,616,358,473,0,0,0,0,426,0,0,0,528,0,598,0,1710,686,1010,383,0,0,0,0,602,1082,449,0,0,333,485,0,0,0,354,473,0,0,0,375,506,0,0,138,1089,1022,89,1142,0,0,315,464,0,0,0,0,561,0,662,528,533,0,414,533,0,1400,587,0,971,149,1798,0,567,0,1860,820,1012,131,1361,0,534,0,514,0,0,141,1353,730,797,1113,596,680,956,299,1473,1203,1302,1348,527,0,0,0,417,578,0,219,1976,332,543,0,190,1496,881,2381,434,527,4411,278,449,2270,419,0,574,0,626,974,299,2407,1718,965,329,2739,857,1204,479,0,737,674,326,0,0,0,213,1919,1184],"interval_residues":[4,26,178,437,224,359,287,566,455,0,64,410,406,117,2,364,485,0,0,0,168,474,0,0,273,398,317,287,476,551,587,0,0,0,0,0,0,63,122,72,468,443,0,0,63,314,525,0,0,471,449,0,0,405,0,0,0,351,446,0,0,0,243,119,482,131,60,233,322,54,258,137,158,252,27,476,0,123,470,299,553,230,8,50,0,516,0,190,487,315,370,300,176,196,110,0,315,338,533,407,0,442,0,0,0,273,0,0,207,317,233,356,239,485,380,0,0,420,365,584,0,0,434,48,228,88,0,447,569,0,297,353,92,263,137,536,449,0,51,396,461,0,0,0,158,296,21,413,289,68,0,573,0,412,0,0,225,370,210,178,0,117,473,0,0,0,0,0,460,0,51,483,455,0,0,339,494,0,0,0,62,417,488,0,0,240,20,297,0,0,0,123,164,519,0,0,42,296,435,479,0,0,267,374,262,68,0,231,7,0,93,170,102,582,0,202,331,432,107,559,57,249,586,237,11,270,521,374,0,0,0,129,72,302,575,0,0,219,221,397,333,308,535,297,227,173,290,427,30,162,176,225,173,308,362,284,475,477,539,0,207,479,299,464,269,221,78,461,0,63,567,587,0,89,476,119,476,254,109,550,0,0,207,353,272,455,449,410,0,430,0,0,0,356,119,208,0,170,86,216,137,74,572,138,8,466,0,0,0,405,536,0,4,490,495,551,0,393,503,0,0,243,116,377,248,69,443,0,460,0,484,0,292,0,0,0,413,124,0,17,8,574,0,2,0,3,249,147,476,0,0,0,0,213,553,537,0,0,51,386,302,258,587,0,3,303,308,27,377,0,0,0,62,390,443,0,0,0,213,265,32,0,136,464,587,0,0,0,243,194,17,342,287,78,443,0,26,0,582,0,545,93,405,359,533,0,0,0,0,90,296,158,405,452,0,0,0,14,243,54,503,0,429,551,0,63,26,358,473,0,0,0,0,426,0,0,0,528,0,8,0,530,96,420,383,0,0,0,0,12,492,449,0,0,333,485,0,0,0,354,473,0,0,0,375,506,0,0,138,499,432,89,552,0,0,315,464,0,0,0,0,561,0,72,528,533,0,414,533,0,220,587,0,381,149,28,0,567,0,90,230,422,131,181,0,534,0,514,0,0,141,173,140,207,523,6,90,366,299,293,23,122,168,527,0,0,0,417,578,0,219,206,332,543,0,190,316,291,21,434,527,281,278,449,500,419,0,574,0,36,384,299,47,538,375,329,379,267,24,479,0,147,84,326,0,0,0,213,149,4],"display_cycle":[4,26,178,437,224,359,287,566,455,590,64,410,406,117,2,364,485,590,590,590,168,474,590,590,273,398,317,287,476,551,587,590,590,590,590,590,590,63,122,72,468,443,590,590,63,314,525,590,590,471,449,590,590,405,590,590,590,351,446,590,590,590,243,119,482,131,60,233,322,54,258,137,158,252,27,476,590,123,470,299,553,230,8,50,590,516,590,190,487,315,370,300,176,196,110,590,315,338,533,407,590,442,590,590,590,273,590,590,207,317,233,356,239,485,380,590,590,420,365,584,590,590,434,48,228,88,590,447,569,590,297,353,92,263,137,536,449,590,51,396,461,590,590,590,158,296,21,413,289,68,590,573,590,412,590,590,225,370,210,178,590,117,473,590,590,590,590,590,460,590,51,483,455,590,590,339,494,590,590,590,62,417,488,590,590,240,20,297,590,590,590,123,164,519,590,590,42,296,435,479,590,590,267,374,262,68,590,231,7,590,93,170,102,582,590,202,331,432,107,559,57,249,586,237,11,270,521,374,590,590,590,129,72,302,575,590,590,219,221,397,333,308,535,297,227,173,290,427,30,162,176,225,173,308,362,284,475,477,539,590,207,479,299,464,269,221,78,461,590,63,567,587,590,89,476,119,476,254,109,550,590,590,207,353,272,455,449,410,590,430,590,590,590,356,119,208,590,170,86,216,137,74,572,138,8,466,590,590,590,405,536,590,4,490,495,551,590,393,503,590,590,243,116,377,248,69,443,590,460,590,484,590,292,590,590,590,413,124,590,17,8,574,590,2,590,3,249,147,476,590,590,590,590,213,553,537,590,590,51,386,302,258,587,590,3,303,308,27,377,590,590,590,62,390,443,590,590,590,213,265,32,590,136,464,587,590,590,590,243,194,17,342,287,78,443,590,26,590,582,590,545,93,405,359,533,590,590,590,590,90,296,158,405,452,590,590,590,14,243,54,503,590,429,551,590,63,26,358,473,590,590,590,590,426,590,590,590,528,590,8,590,530,96,420,383,590,590,590,590,12,492,449,590,590,333,485,590,590,590,354,473,590,590,590,375,506,590,590,138,499,432,89,552,590,590,315,464,590,590,590,590,561,590,72,528,533,590,414,533,590,220,587,590,381,149,28,590,567,590,90,230,422,131,181,590,534,590,514,590,590,141,173,140,207,523,6,90,366,299,293,23,122,168,527,590,590,590,417,578,590,219,206,332,543,590,190,316,291,21,434,527,281,278,449,500,419,590,574,590,36,384,299,47,538,375,329,379,267,24,479,590,147,84,326,590,590,590,213,149,4],"intervals":[{"from_index":0,"to_index":4,"interior_indices":[1,2,3],"interior_values":[1,1,2],"sum":4,"residue":4},{"from_index":4,"to_index":8,"interior_indices":[5,6,7],"interior_values":[5,8,13],"sum":26,"residue":26},{"from_index":8,"to_index":12,"interior_indices":[9,10,11],"interior_values":[34,55,89],"sum":178,"residue":178},{"from_index":12,"to_index":17,"interior_indices":[13,14,15,16],"interior_values":[233,377,20,397],"sum":1027,"residue":437},{"from_index":17,"to_index":19,"interior_indices":[18],"interior_values":[224],"sum":224,"residue":224},{"from_index":19,"to_index":24,"interior_indices":[20,21,22,23],"interior_values":[275,326,11,337],"sum":949,"residue":359},{"from_index":24,"to_index":29,"interior_indices":[25,26,27,28],"interior_values":[95,443,538,391],"sum":1467,"residue":287},{"from_index":29,"to_index":34,"interior_indices":[30,31,32,33],"interior_values":[140,479,29,508],"sum":1156,"residue":566},{"from_index":34,"to_index":36,"interior_indices":[35],"interior_values":[455],"sum":455,"residue":455},{"from_index":36,"to_index":37,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":37,"to_index":44,"interior_indices":[38,39,40,41,42,43],"interior_values":[79,346,425,181,16,197],"sum":1244,"residue":64},{"from_index":44,"to_index":46,"interior_indices":[45],"interior_values":[410],"sum":410,"residue":410},{"from_index":46,"to_index":53,"interior_indices":[47,48,49,50,51,52],"interior_values":[443,476,329,215,544,169],"sum":2176,"residue":406},{"from_index":53,"to_index":56,"interior_indices":[54,55],"interior_values":[292,415],"sum":707,"residue":117},{"from_index":56,"to_index":60,"interior_indices":[57,58,59],"interior_values":[532,59,1],"sum":592,"residue":2},{"from_index":60,"to_index":64,"interior_indices":[61,62,63],"interior_values":[61,121,182],"sum":364,"residue":364},{"from_index":64,"to_index":66,"interior_indices":[65],"interior_values":[485],"sum":485,"residue":485},{"from_index":66,"to_index":67,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":67,"to_index":68,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":68,"to_index":69,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":69,"to_index":75,"interior_indices":[70,71,72,73,74],"interior_values":[85,469,554,433,397],"sum":1938,"residue":168},{"from_index":75,"to_index":81,"interior_indices":[76,77,78,79,80],"interior_values":[47,287,334,31,365],"sum":1064,"residue":474},{"from_index":81,"to_index":82,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":82,"to_index":83,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":83,"to_index":86,"interior_indices":[84,85],"interior_values":[148,125],"sum":273,"residue":273},{"from_index":86,"to_index":88,"interior_indices":[87],"interior_values":[398],"sum":398,"residue":398},{"from_index":88,"to_index":96,"interior_indices":[89,90,91,92,93,94,95],"interior_values":[479,560,449,419,278,107,385],"sum":2677,"residue":317},{"from_index":96,"to_index":98,"interior_indices":[97],"interior_values":[287],"sum":287,"residue":287},{"from_index":98,"to_index":100,"interior_indices":[99],"interior_values":[476],"sum":476,"residue":476},{"from_index":100,"to_index":102,"interior_indices":[101],"interior_values":[551],"sum":551,"residue":551},{"from_index":102,"to_index":104,"interior_indices":[103],"interior_values":[587],"sum":587,"residue":587},{"from_index":104,"to_index":105,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":105,"to_index":106,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":106,"to_index":107,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":107,"to_index":108,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":108,"to_index":109,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":109,"to_index":110,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":110,"to_index":116,"interior_indices":[111,112,113,114,115],"interior_values":[64,469,533,412,355],"sum":1833,"residue":63},{"from_index":116,"to_index":120,"interior_indices":[117,118,119],"interior_values":[532,119,61],"sum":712,"residue":122},{"from_index":120,"to_index":123,"interior_indices":[121,122],"interior_values":[241,421],"sum":662,"residue":72},{"from_index":123,"to_index":126,"interior_indices":[124,125],"interior_values":[493,565],"sum":1058,"residue":468},{"from_index":126,"to_index":128,"interior_indices":[127],"interior_values":[443],"sum":443,"residue":443},{"from_index":128,"to_index":129,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":129,"to_index":130,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":130,"to_index":133,"interior_indices":[131,132],"interior_values":[79,574],"sum":653,"residue":63},{"from_index":133,"to_index":137,"interior_indices":[134,135,136],"interior_values":[47,110,157],"sum":314,"residue":314},{"from_index":137,"to_index":140,"interior_indices":[138,139],"interior_values":[424,101],"sum":525,"residue":525},{"from_index":140,"to_index":141,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":141,"to_index":142,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":142,"to_index":148,"interior_indices":[143,144,145,146,147],"interior_values":[7,568,575,553,538],"sum":2241,"residue":471},{"from_index":148,"to_index":150,"interior_indices":[149],"interior_values":[449],"sum":449,"residue":449},{"from_index":150,"to_index":151,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":151,"to_index":152,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":152,"to_index":155,"interior_indices":[153,154],"interior_values":[208,197],"sum":405,"residue":405},{"from_index":155,"to_index":156,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":156,"to_index":157,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":157,"to_index":158,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":158,"to_index":161,"interior_indices":[159,160],"interior_values":[256,95],"sum":351,"residue":351},{"from_index":161,"to_index":163,"interior_indices":[162],"interior_values":[446],"sum":446,"residue":446},{"from_index":163,"to_index":164,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":164,"to_index":165,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":165,"to_index":166,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":166,"to_index":171,"interior_indices":[167,168,169,170],"interior_values":[13,346,359,115],"sum":833,"residue":243},{"from_index":171,"to_index":176,"interior_indices":[172,173,174,175],"interior_values":[589,473,472,355],"sum":1889,"residue":119},{"from_index":176,"to_index":180,"interior_indices":[177,178,179],"interior_values":[2,239,241],"sum":482,"residue":482},{"from_index":180,"to_index":182,"interior_indices":[181],"interior_values":[131],"sum":131,"residue":131},{"from_index":182,"to_index":186,"interior_indices":[183,184,185],"interior_values":[152,173,325],"sum":650,"residue":60},{"from_index":186,"to_index":188,"interior_indices":[187],"interior_values":[233],"sum":233,"residue":233},{"from_index":188,"to_index":195,"interior_indices":[189,190,191,192,193,194],"interior_values":[374,515,299,224,523,157],"sum":2092,"residue":322},{"from_index":195,"to_index":201,"interior_indices":[196,197,198,199,200],"interior_values":[247,337,584,331,325],"sum":1824,"residue":54},{"from_index":201,"to_index":204,"interior_indices":[202,203],"interior_values":[391,457],"sum":848,"residue":258},{"from_index":204,"to_index":209,"interior_indices":[205,206,207,208],"interior_values":[125,383,508,301],"sum":1317,"residue":137},{"from_index":209,"to_index":213,"interior_indices":[210,211,212],"interior_values":[520,149,79],"sum":748,"residue":158},{"from_index":213,"to_index":216,"interior_indices":[214,215],"interior_values":[307,535],"sum":842,"residue":252},{"from_index":216,"to_index":221,"interior_indices":[217,218,219,220],"interior_values":[197,449,56,505],"sum":1207,"residue":27},{"from_index":221,"to_index":223,"interior_indices":[222],"interior_values":[476],"sum":476,"residue":476},{"from_index":223,"to_index":224,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":224,"to_index":227,"interior_indices":[225,226],"interior_values":[190,523],"sum":713,"residue":123},{"from_index":227,"to_index":231,"interior_indices":[228,229,230],"interior_values":[56,179,235],"sum":470,"residue":470},{"from_index":231,"to_index":236,"interior_indices":[232,233,234,235],"interior_values":[59,473,532,415],"sum":1479,"residue":299},{"from_index":236,"to_index":242,"interior_indices":[237,238,239,240,241],"interior_values":[182,539,131,80,211],"sum":1143,"residue":553},{"from_index":242,"to_index":246,"interior_indices":[243,244,245],"interior_values":[502,203,115],"sum":820,"residue":230},{"from_index":246,"to_index":250,"interior_indices":[247,248,249],"interior_values":[433,161,4],"sum":598,"residue":8},{"from_index":250,"to_index":257,"interior_indices":[251,252,253,254,255,256],"interior_values":[169,334,503,247,160,407],"sum":1820,"residue":50},{"from_index":257,"to_index":258,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":258,"to_index":261,"interior_indices":[259,260],"interior_values":[361,155],"sum":516,"residue":516},{"from_index":261,"to_index":262,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":262,"to_index":266,"interior_indices":[263,264,265],"interior_values":[7,88,95],"sum":190,"residue":190},{"from_index":266,"to_index":272,"interior_indices":[267,268,269,270,271],"interior_values":[278,461,149,20,169],"sum":1077,"residue":487},{"from_index":272,"to_index":275,"interior_indices":[273,274],"interior_values":[358,547],"sum":905,"residue":315},{"from_index":275,"to_index":282,"interior_indices":[276,277,278,279,280,281],"interior_values":[272,587,269,266,535,211],"sum":2140,"residue":370},{"from_index":282,"to_index":285,"interior_indices":[283,284],"interior_values":[367,523],"sum":890,"residue":300},{"from_index":285,"to_index":291,"interior_indices":[286,287,288,289,290],"interior_values":[233,533,176,119,295],"sum":1356,"residue":176},{"from_index":291,"to_index":297,"interior_indices":[292,293,294,295,296],"interior_values":[119,533,62,5,67],"sum":786,"residue":196},{"from_index":297,"to_index":301,"interior_indices":[298,299,300],"interior_values":[139,211,350],"sum":700,"residue":110},{"from_index":301,"to_index":302,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":302,"to_index":305,"interior_indices":[303,304],"interior_values":[292,23],"sum":315,"residue":315},{"from_index":305,"to_index":307,"interior_indices":[306],"interior_values":[338],"sum":338,"residue":338},{"from_index":307,"to_index":313,"interior_indices":[308,309,310,311,312],"interior_values":[401,464,275,149,424],"sum":1713,"residue":533},{"from_index":313,"to_index":315,"interior_indices":[314],"interior_values":[407],"sum":407,"residue":407},{"from_index":315,"to_index":316,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":316,"to_index":320,"interior_indices":[317,318,319],"interior_values":[7,214,221],"sum":442,"residue":442},{"from_index":320,"to_index":321,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":321,"to_index":322,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":322,"to_index":323,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":323,"to_index":332,"interior_indices":[324,325,326,327,328,329,330,331],"interior_values":[478,455,343,208,551,169,130,299],"sum":2633,"residue":273},{"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":[115,92],"sum":207,"residue":207},{"from_index":337,"to_index":343,"interior_indices":[338,339,340,341,342],"interior_values":[299,506,215,131,346],"sum":1497,"residue":317},{"from_index":343,"to_index":345,"interior_indices":[344],"interior_values":[233],"sum":233,"residue":233},{"from_index":345,"to_index":351,"interior_indices":[346,347,348,349,350],"interior_values":[353,473,236,119,355],"sum":1536,"residue":356},{"from_index":351,"to_index":353,"interior_indices":[352],"interior_values":[239],"sum":239,"residue":239},{"from_index":353,"to_index":359,"interior_indices":[354,355,356,357,358],"interior_values":[362,485,257,152,409],"sum":1665,"residue":485},{"from_index":359,"to_index":361,"interior_indices":[360],"interior_values":[380],"sum":380,"residue":380},{"from_index":361,"to_index":362,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":362,"to_index":363,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":363,"to_index":369,"interior_indices":[364,365,366,367,368],"interior_values":[43,535,578,523,511],"sum":2190,"residue":420},{"from_index":369,"to_index":371,"interior_indices":[370],"interior_values":[365],"sum":365,"residue":365},{"from_index":371,"to_index":373,"interior_indices":[372],"interior_values":[584],"sum":584,"residue":584},{"from_index":373,"to_index":374,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":374,"to_index":375,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":375,"to_index":381,"interior_indices":[376,377,378,379,380],"interior_values":[37,457,494,361,265],"sum":1614,"residue":434},{"from_index":381,"to_index":384,"interior_indices":[382,383],"interior_values":[301,337],"sum":638,"residue":48},{"from_index":384,"to_index":387,"interior_indices":[385,386],"interior_values":[385,433],"sum":818,"residue":228},{"from_index":387,"to_index":393,"interior_indices":[388,389,390,391,392],"interior_values":[71,299,370,79,449],"sum":1268,"residue":88},{"from_index":393,"to_index":394,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":394,"to_index":397,"interior_indices":[395,396],"interior_values":[325,122],"sum":447,"residue":447},{"from_index":397,"to_index":399,"interior_indices":[398],"interior_values":[569],"sum":569,"residue":569},{"from_index":399,"to_index":400,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":400,"to_index":403,"interior_indices":[401,402],"interior_values":[241,56],"sum":297,"residue":297},{"from_index":403,"to_index":405,"interior_indices":[404],"interior_values":[353],"sum":353,"residue":353},{"from_index":405,"to_index":414,"interior_indices":[406,407,408,409,410,411,412,413],"interior_values":[413,473,296,179,475,64,539,13],"sum":2452,"residue":92},{"from_index":414,"to_index":419,"interior_indices":[415,416,417,418],"interior_values":[565,527,502,439],"sum":2033,"residue":263},{"from_index":419,"to_index":425,"interior_indices":[420,421,422,423,424],"interior_values":[200,551,161,122,283],"sum":1317,"residue":137},{"from_index":425,"to_index":430,"interior_indices":[426,427,428,429],"interior_values":[98,503,11,514],"sum":1126,"residue":536},{"from_index":430,"to_index":432,"interior_indices":[431],"interior_values":[449],"sum":449,"residue":449},{"from_index":432,"to_index":433,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":433,"to_index":438,"interior_indices":[434,435,436,437],"interior_values":[37,280,317,7],"sum":641,"residue":51},{"from_index":438,"to_index":441,"interior_indices":[439,440],"interior_values":[331,65],"sum":396,"residue":396},{"from_index":441,"to_index":443,"interior_indices":[442],"interior_values":[461],"sum":461,"residue":461},{"from_index":443,"to_index":444,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":444,"to_index":445,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":445,"to_index":446,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":446,"to_index":450,"interior_indices":[447,448,449],"interior_values":[358,311,79],"sum":748,"residue":158},{"from_index":450,"to_index":454,"interior_indices":[451,452,453],"interior_values":[469,269,148],"sum":886,"residue":296},{"from_index":454,"to_index":463,"interior_indices":[455,456,457,458,459,460,461,462],"interior_values":[565,392,367,169,536,115,61,176],"sum":2381,"residue":21},{"from_index":463,"to_index":465,"interior_indices":[464],"interior_values":[413],"sum":413,"residue":413},{"from_index":465,"to_index":473,"interior_indices":[466,467,468,469,470,471,472],"interior_values":[473,533,416,359,185,544,139],"sum":2649,"residue":289},{"from_index":473,"to_index":483,"interior_indices":[474,475,476,477,478,479,480,481,482],"interior_values":[232,325,557,292,259,551,220,181,401],"sum":3018,"residue":68},{"from_index":483,"to_index":484,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":484,"to_index":487,"interior_indices":[485,486],"interior_values":[385,188],"sum":573,"residue":573},{"from_index":487,"to_index":488,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":488,"to_index":495,"interior_indices":[489,490,491,492,493,494],"interior_values":[154,325,479,214,103,317],"sum":1592,"residue":412},{"from_index":495,"to_index":496,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":496,"to_index":497,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":497,"to_index":500,"interior_indices":[498,499],"interior_values":[124,101],"sum":225,"residue":225},{"from_index":500,"to_index":507,"interior_indices":[501,502,503,504,505,506],"interior_values":[326,551,287,248,535,193],"sum":2140,"residue":370},{"from_index":507,"to_index":510,"interior_indices":[508,509],"interior_values":[331,469],"sum":800,"residue":210},{"from_index":510,"to_index":516,"interior_indices":[511,512,513,514,515],"interior_values":[89,299,388,97,485],"sum":1358,"residue":178},{"from_index":516,"to_index":517,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":517,"to_index":523,"interior_indices":[518,519,520,521,522],"interior_values":[469,356,235,1,236],"sum":1297,"residue":117},{"from_index":523,"to_index":525,"interior_indices":[524],"interior_values":[473],"sum":473,"residue":473},{"from_index":525,"to_index":526,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":526,"to_index":527,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":527,"to_index":528,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":528,"to_index":529,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":529,"to_index":530,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":530,"to_index":537,"interior_indices":[531,532,533,534,535,536],"interior_values":[34,409,443,262,115,377],"sum":1640,"residue":460},{"from_index":537,"to_index":538,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":538,"to_index":541,"interior_indices":[539,540],"interior_values":[181,460],"sum":641,"residue":51},{"from_index":541,"to_index":544,"interior_indices":[542,543],"interior_values":[511,562],"sum":1073,"residue":483},{"from_index":544,"to_index":546,"interior_indices":[545],"interior_values":[455],"sum":455,"residue":455},{"from_index":546,"to_index":547,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":547,"to_index":548,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":548,"to_index":551,"interior_indices":[549,550],"interior_values":[184,155],"sum":339,"residue":339},{"from_index":551,"to_index":553,"interior_indices":[552],"interior_values":[494],"sum":494,"residue":494},{"from_index":553,"to_index":554,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":554,"to_index":555,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":555,"to_index":556,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":556,"to_index":560,"interior_indices":[557,558,559],"interior_values":[337,284,31],"sum":652,"residue":62},{"from_index":560,"to_index":563,"interior_indices":[561,562],"interior_values":[346,71],"sum":417,"residue":417},{"from_index":563,"to_index":565,"interior_indices":[564],"interior_values":[488],"sum":488,"residue":488},{"from_index":565,"to_index":566,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"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":[151,89],"sum":240,"residue":240},{"from_index":570,"to_index":577,"interior_indices":[571,572,573,574,575,576],"interior_values":[329,569,308,287,5,292],"sum":1790,"residue":20},{"from_index":577,"to_index":583,"interior_indices":[578,579,580,581,582],"interior_values":[589,296,295,1,296],"sum":1477,"residue":297},{"from_index":583,"to_index":584,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":584,"to_index":585,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":585,"to_index":586,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":586,"to_index":591,"interior_indices":[587,588,589,590],"interior_values":[13,316,329,55],"sum":713,"residue":123},{"from_index":591,"to_index":595,"interior_indices":[592,593,594],"interior_values":[439,233,82],"sum":754,"residue":164},{"from_index":595,"to_index":598,"interior_indices":[596,597],"interior_values":[397,122],"sum":519,"residue":519},{"from_index":598,"to_index":599,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":599,"to_index":600,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":600,"to_index":603,"interior_indices":[601,602],"interior_values":[31,11],"sum":42,"residue":42},{"from_index":603,"to_index":607,"interior_indices":[604,605,606],"interior_values":[53,95,148],"sum":296,"residue":296},{"from_index":607,"to_index":610,"interior_indices":[608,609],"interior_values":[391,44],"sum":435,"residue":435},{"from_index":610,"to_index":612,"interior_indices":[611],"interior_values":[479],"sum":479,"residue":479},{"from_index":612,"to_index":613,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":613,"to_index":614,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":614,"to_index":617,"interior_indices":[615,616],"interior_values":[160,107],"sum":267,"residue":267},{"from_index":617,"to_index":619,"interior_indices":[618],"interior_values":[374],"sum":374,"residue":374},{"from_index":619,"to_index":626,"interior_indices":[620,621,622,623,624,625],"interior_values":[425,476,311,197,508,115],"sum":2032,"residue":262},{"from_index":626,"to_index":630,"interior_indices":[627,628,629],"interior_values":[148,181,329],"sum":658,"residue":68},{"from_index":630,"to_index":631,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":631,"to_index":637,"interior_indices":[632,633,634,635,636],"interior_values":[169,418,587,415,412],"sum":2001,"residue":231},{"from_index":637,"to_index":643,"interior_indices":[638,639,640,641,642],"interior_values":[59,296,355,61,416],"sum":1187,"residue":7},{"from_index":643,"to_index":644,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":644,"to_index":647,"interior_indices":[645,646],"interior_values":[190,493],"sum":683,"residue":93},{"from_index":647,"to_index":651,"interior_indices":[648,649,650],"interior_values":[586,89,85],"sum":760,"residue":170},{"from_index":651,"to_index":654,"interior_indices":[652,653],"interior_values":[259,433],"sum":692,"residue":102},{"from_index":654,"to_index":657,"interior_indices":[655,656],"interior_values":[535,47],"sum":582,"residue":582},{"from_index":657,"to_index":658,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":658,"to_index":662,"interior_indices":[659,660,661],"interior_values":[31,70,101],"sum":202,"residue":202},{"from_index":662,"to_index":668,"interior_indices":[663,664,665,666,667],"interior_values":[272,443,125,568,103],"sum":1511,"residue":331},{"from_index":668,"to_index":673,"interior_indices":[669,670,671,672],"interior_values":[184,265,449,124],"sum":1022,"residue":432},{"from_index":673,"to_index":675,"interior_indices":[674],"interior_values":[107],"sum":107,"residue":107},{"from_index":675,"to_index":680,"interior_indices":[676,677,678,679],"interior_values":[197,287,484,181],"sum":1149,"residue":559},{"from_index":680,"to_index":686,"interior_indices":[681,682,683,684,685],"interior_values":[256,331,587,328,325],"sum":1827,"residue":57},{"from_index":686,"to_index":689,"interior_indices":[687,688],"interior_values":[388,451],"sum":839,"residue":249},{"from_index":689,"to_index":694,"interior_indices":[690,691,692,693],"interior_values":[110,359,469,238],"sum":1176,"residue":586},{"from_index":694,"to_index":697,"interior_indices":[695,696],"interior_values":[355,472],"sum":827,"residue":237},{"from_index":697,"to_index":702,"interior_indices":[698,699,700,701],"interior_values":[119,356,475,241],"sum":1191,"residue":11},{"from_index":702,"to_index":705,"interior_indices":[703,704],"interior_values":[367,493],"sum":860,"residue":270},{"from_index":705,"to_index":710,"interior_indices":[706,707,708,709],"interior_values":[173,443,26,469],"sum":1111,"residue":521},{"from_index":710,"to_index":712,"interior_indices":[711],"interior_values":[374],"sum":374,"residue":374},{"from_index":712,"to_index":713,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":713,"to_index":714,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":714,"to_index":715,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":715,"to_index":718,"interior_indices":[716,717],"interior_values":[157,562],"sum":719,"residue":129},{"from_index":718,"to_index":722,"interior_indices":[719,720,721],"interior_values":[101,230,331],"sum":662,"residue":72},{"from_index":722,"to_index":724,"interior_indices":[723],"interior_values":[302],"sum":302,"residue":302},{"from_index":724,"to_index":726,"interior_indices":[725],"interior_values":[575],"sum":575,"residue":575},{"from_index":726,"to_index":727,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":727,"to_index":728,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":728,"to_index":731,"interior_indices":[729,730],"interior_values":[154,65],"sum":219,"residue":219},{"from_index":731,"to_index":737,"interior_indices":[732,733,734,735,736],"interior_values":[284,503,197,110,307],"sum":1401,"residue":221},{"from_index":737,"to_index":743,"interior_indices":[738,739,740,741,742],"interior_values":[134,551,95,56,151],"sum":987,"residue":397},{"from_index":743,"to_index":746,"interior_indices":[744,745],"interior_values":[358,565],"sum":923,"residue":333},{"from_index":746,"to_index":748,"interior_indices":[747],"interior_values":[308],"sum":308,"residue":308},{"from_index":748,"to_index":754,"interior_indices":[749,750,751,752,753],"interior_values":[359,410,179,589,178],"sum":1715,"residue":535},{"from_index":754,"to_index":757,"interior_indices":[755,756],"interior_values":[355,532],"sum":887,"residue":297},{"from_index":757,"to_index":763,"interior_indices":[758,759,760,761,762],"interior_values":[239,536,185,131,316],"sum":1407,"residue":227},{"from_index":763,"to_index":765,"interior_indices":[764],"interior_values":[173],"sum":173,"residue":173},{"from_index":765,"to_index":772,"interior_indices":[766,767,768,769,770,771],"interior_values":[203,233,436,79,515,4],"sum":1470,"residue":290},{"from_index":772,"to_index":777,"interior_indices":[773,774,775,776],"interior_values":[523,452,385,247],"sum":1607,"residue":427},{"from_index":777,"to_index":780,"interior_indices":[778,779],"interior_values":[289,331],"sum":620,"residue":30},{"from_index":780,"to_index":783,"interior_indices":[781,782],"interior_values":[361,391],"sum":752,"residue":162},{"from_index":783,"to_index":787,"interior_indices":[784,785,786],"interior_values":[553,125,88],"sum":766,"residue":176},{"from_index":787,"to_index":790,"interior_indices":[788,789],"interior_values":[301,514],"sum":815,"residue":225},{"from_index":790,"to_index":795,"interior_indices":[791,792,793,794],"interior_values":[149,374,523,307],"sum":1353,"residue":173},{"from_index":795,"to_index":799,"interior_indices":[796,797,798],"interior_values":[547,197,154],"sum":898,"residue":308},{"from_index":799,"to_index":803,"interior_indices":[800,801,802],"interior_values":[505,266,181],"sum":952,"residue":362},{"from_index":803,"to_index":808,"interior_indices":[804,805,806,807],"interior_values":[38,485,523,418],"sum":1464,"residue":284},{"from_index":808,"to_index":814,"interior_indices":[809,810,811,812,813],"interior_values":[179,530,119,59,178],"sum":1065,"residue":475},{"from_index":814,"to_index":817,"interior_indices":[815,816],"interior_values":[415,62],"sum":477,"residue":477},{"from_index":817,"to_index":819,"interior_indices":[818],"interior_values":[539],"sum":539,"residue":539},{"from_index":819,"to_index":820,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":820,"to_index":823,"interior_indices":[821,822],"interior_values":[211,586],"sum":797,"residue":207},{"from_index":823,"to_index":828,"interior_indices":[824,825,826,827],"interior_values":[203,410,23,433],"sum":1069,"residue":479},{"from_index":828,"to_index":830,"interior_indices":[829],"interior_values":[299],"sum":299,"residue":299},{"from_index":830,"to_index":832,"interior_indices":[831],"interior_values":[464],"sum":464,"residue":464},{"from_index":832,"to_index":840,"interior_indices":[833,834,835,836,837,838,839],"interior_values":[503,542,455,407,272,89,361],"sum":2629,"residue":269},{"from_index":840,"to_index":842,"interior_indices":[841],"interior_values":[221],"sum":221,"residue":221},{"from_index":842,"to_index":847,"interior_indices":[843,844,845,846],"interior_values":[302,383,95,478],"sum":1258,"residue":78},{"from_index":847,"to_index":849,"interior_indices":[848],"interior_values":[461],"sum":461,"residue":461},{"from_index":849,"to_index":850,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":850,"to_index":853,"interior_indices":[851,852],"interior_values":[169,484],"sum":653,"residue":63},{"from_index":853,"to_index":856,"interior_indices":[854,855],"interior_values":[547,20],"sum":567,"residue":567},{"from_index":856,"to_index":858,"interior_indices":[857],"interior_values":[587],"sum":587,"residue":587},{"from_index":858,"to_index":859,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":859,"to_index":864,"interior_indices":[860,861,862,863],"interior_values":[535,506,451,367],"sum":1859,"residue":89},{"from_index":864,"to_index":868,"interior_indices":[865,866,867],"interior_values":[5,233,238],"sum":476,"residue":476},{"from_index":868,"to_index":870,"interior_indices":[869],"interior_values":[119],"sum":119,"residue":119},{"from_index":870,"to_index":874,"interior_indices":[871,872,873],"interior_values":[119,119,238],"sum":476,"residue":476},{"from_index":874,"to_index":881,"interior_indices":[875,876,877,878,879,880],"interior_values":[5,362,367,139,506,55],"sum":1434,"residue":254},{"from_index":881,"to_index":887,"interior_indices":[882,883,884,885,886],"interior_values":[26,587,23,20,43],"sum":699,"residue":109},{"from_index":887,"to_index":891,"interior_indices":[888,889,890],"interior_values":[106,169,275],"sum":550,"residue":550},{"from_index":891,"to_index":892,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":892,"to_index":893,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":893,"to_index":896,"interior_indices":[894,895],"interior_values":[112,95],"sum":207,"residue":207},{"from_index":896,"to_index":902,"interior_indices":[897,898,899,900,901],"interior_values":[302,509,221,140,361],"sum":1533,"residue":353},{"from_index":902,"to_index":904,"interior_indices":[903],"interior_values":[272],"sum":272,"residue":272},{"from_index":904,"to_index":906,"interior_indices":[905],"interior_values":[455],"sum":455,"residue":455},{"from_index":906,"to_index":914,"interior_indices":[907,908,909,910,911,912,913],"interior_values":[503,551,464,425,299,134,433],"sum":2809,"residue":449},{"from_index":914,"to_index":916,"interior_indices":[915],"interior_values":[410],"sum":410,"residue":410},{"from_index":916,"to_index":917,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":917,"to_index":921,"interior_indices":[918,919,920],"interior_values":[4,211,215],"sum":430,"residue":430},{"from_index":921,"to_index":922,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":922,"to_index":923,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"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":[415,353,178],"sum":946,"residue":356},{"from_index":928,"to_index":930,"interior_indices":[929],"interior_values":[119],"sum":119,"residue":119},{"from_index":930,"to_index":936,"interior_indices":[931,932,933,934,935],"interior_values":[179,239,418,67,485],"sum":1388,"residue":208},{"from_index":936,"to_index":937,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":937,"to_index":941,"interior_indices":[938,939,940],"interior_values":[409,266,85],"sum":760,"residue":170},{"from_index":941,"to_index":945,"interior_indices":[942,943,944],"interior_values":[436,197,43],"sum":676,"residue":86},{"from_index":945,"to_index":948,"interior_indices":[946,947],"interior_values":[283,523],"sum":806,"residue":216},{"from_index":948,"to_index":953,"interior_indices":[949,950,951,952],"interior_values":[149,365,514,289],"sum":1317,"residue":137},{"from_index":953,"to_index":957,"interior_indices":[954,955,956],"interior_values":[502,125,37],"sum":664,"residue":74},{"from_index":957,"to_index":963,"interior_indices":[958,959,960,961,962],"interior_values":[199,361,560,331,301],"sum":1752,"residue":572},{"from_index":963,"to_index":966,"interior_indices":[964,965],"interior_values":[343,385],"sum":728,"residue":138},{"from_index":966,"to_index":970,"interior_indices":[967,968,969],"interior_values":[523,71,4],"sum":598,"residue":8},{"from_index":970,"to_index":974,"interior_indices":[971,972,973],"interior_values":[79,154,233],"sum":466,"residue":466},{"from_index":974,"to_index":975,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":975,"to_index":976,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":976,"to_index":977,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":977,"to_index":980,"interior_indices":[978,979],"interior_values":[274,131],"sum":405,"residue":405},{"from_index":980,"to_index":982,"interior_indices":[981],"interior_values":[536],"sum":536,"residue":536},{"from_index":982,"to_index":983,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":983,"to_index":990,"interior_indices":[984,985,986,987,988,989],"interior_values":[58,355,413,178,1,179],"sum":1184,"residue":4},{"from_index":990,"to_index":997,"interior_indices":[991,992,993,994,995,996],"interior_values":[359,539,308,257,565,232],"sum":2260,"residue":490},{"from_index":997,"to_index":1000,"interior_indices":[998,999],"interior_values":[439,56],"sum":495,"residue":495},{"from_index":1000,"to_index":1002,"interior_indices":[1001],"interior_values":[551],"sum":551,"residue":551},{"from_index":1002,"to_index":1003,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1003,"to_index":1006,"interior_indices":[1004,1005],"interior_values":[283,110],"sum":393,"residue":393},{"from_index":1006,"to_index":1008,"interior_indices":[1007],"interior_values":[503],"sum":503,"residue":503},{"from_index":1008,"to_index":1009,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1009,"to_index":1010,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1010,"to_index":1013,"interior_indices":[1011,1012],"interior_values":[154,89],"sum":243,"residue":243},{"from_index":1013,"to_index":1020,"interior_indices":[1014,1015,1016,1017,1018,1019],"interior_values":[332,575,317,302,29,331],"sum":1886,"residue":116},{"from_index":1020,"to_index":1025,"interior_indices":[1021,1022,1023,1024],"interior_values":[101,461,562,433],"sum":1557,"residue":377},{"from_index":1025,"to_index":1027,"interior_indices":[1026],"interior_values":[248],"sum":248,"residue":248},{"from_index":1027,"to_index":1032,"interior_indices":[1028,1029,1030,1031],"interior_values":[311,374,95,469],"sum":1249,"residue":69},{"from_index":1032,"to_index":1034,"interior_indices":[1033],"interior_values":[443],"sum":443,"residue":443},{"from_index":1034,"to_index":1035,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1035,"to_index":1042,"interior_indices":[1036,1037,1038,1039,1040,1041],"interior_values":[97,367,464,241,115,356],"sum":1640,"residue":460},{"from_index":1042,"to_index":1043,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1043,"to_index":1050,"interior_indices":[1044,1045,1046,1047,1048,1049],"interior_values":[118,355,473,238,121,359],"sum":1664,"residue":484},{"from_index":1050,"to_index":1051,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1051,"to_index":1064,"interior_indices":[1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063],"interior_values":[139,388,527,325,262,587,259,256,515,181,106,287],"sum":3832,"residue":292},{"from_index":1064,"to_index":1065,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1065,"to_index":1066,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1066,"to_index":1067,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1067,"to_index":1076,"interior_indices":[1068,1069,1070,1071,1072,1073,1074,1075],"interior_values":[466,449,325,184,509,103,22,125],"sum":2183,"residue":413},{"from_index":1076,"to_index":1083,"interior_indices":[1077,1078,1079,1080,1081,1082],"interior_values":[272,419,101,520,31,551],"sum":1894,"residue":124},{"from_index":1083,"to_index":1084,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1084,"to_index":1089,"interior_indices":[1085,1086,1087,1088],"interior_values":[535,488,433,331],"sum":1787,"residue":17},{"from_index":1089,"to_index":1093,"interior_indices":[1090,1091,1092],"interior_values":[505,89,4],"sum":598,"residue":8},{"from_index":1093,"to_index":1097,"interior_indices":[1094,1095,1096],"interior_values":[97,190,287],"sum":574,"residue":574},{"from_index":1097,"to_index":1098,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1098,"to_index":1102,"interior_indices":[1099,1100,1101],"interior_values":[61,235,296],"sum":592,"residue":2},{"from_index":1102,"to_index":1103,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1103,"to_index":1106,"interior_indices":[1104,1105],"interior_values":[178,415],"sum":593,"residue":3},{"from_index":1106,"to_index":1109,"interior_indices":[1107,1108],"interior_values":[418,421],"sum":839,"residue":249},{"from_index":1109,"to_index":1118,"interior_indices":[1110,1111,1112,1113,1114,1115,1116,1117],"interior_values":[80,329,409,148,557,115,82,197],"sum":1917,"residue":147},{"from_index":1118,"to_index":1120,"interior_indices":[1119],"interior_values":[476],"sum":476,"residue":476},{"from_index":1120,"to_index":1121,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1121,"to_index":1122,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1122,"to_index":1123,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1123,"to_index":1124,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1124,"to_index":1127,"interior_indices":[1125,1126],"interior_values":[160,53],"sum":213,"residue":213},{"from_index":1127,"to_index":1133,"interior_indices":[1128,1129,1130,1131,1132],"interior_values":[266,479,155,44,199],"sum":1143,"residue":553},{"from_index":1133,"to_index":1136,"interior_indices":[1134,1135],"interior_values":[442,95],"sum":537,"residue":537},{"from_index":1136,"to_index":1137,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1137,"to_index":1138,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1138,"to_index":1141,"interior_indices":[1139,1140],"interior_values":[31,20],"sum":51,"residue":51},{"from_index":1141,"to_index":1145,"interior_indices":[1142,1143,1144],"interior_values":[71,122,193],"sum":386,"residue":386},{"from_index":1145,"to_index":1149,"interior_indices":[1146,1147,1148],"interior_values":[508,233,151],"sum":892,"residue":302},{"from_index":1149,"to_index":1155,"interior_indices":[1150,1151,1152,1153,1154],"interior_values":[535,329,274,13,287],"sum":1438,"residue":258},{"from_index":1155,"to_index":1157,"interior_indices":[1156],"interior_values":[587],"sum":587,"residue":587},{"from_index":1157,"to_index":1158,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1158,"to_index":1163,"interior_indices":[1159,1160,1161,1162],"interior_values":[1,295,296,1],"sum":593,"residue":3},{"from_index":1163,"to_index":1166,"interior_indices":[1164,1165],"interior_values":[298,5],"sum":303,"residue":303},{"from_index":1166,"to_index":1168,"interior_indices":[1167],"interior_values":[308],"sum":308,"residue":308},{"from_index":1168,"to_index":1173,"interior_indices":[1169,1170,1171,1172],"interior_values":[329,350,89,439],"sum":1207,"residue":27},{"from_index":1173,"to_index":1175,"interior_indices":[1174],"interior_values":[377],"sum":377,"residue":377},{"from_index":1175,"to_index":1176,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1176,"to_index":1177,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1177,"to_index":1178,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1178,"to_index":1182,"interior_indices":[1179,1180,1181],"interior_values":[346,275,31],"sum":652,"residue":62},{"from_index":1182,"to_index":1185,"interior_indices":[1183,1184],"interior_values":[337,53],"sum":390,"residue":390},{"from_index":1185,"to_index":1187,"interior_indices":[1186],"interior_values":[443],"sum":443,"residue":443},{"from_index":1187,"to_index":1188,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1188,"to_index":1189,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1189,"to_index":1190,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1190,"to_index":1193,"interior_indices":[1191,1192],"interior_values":[184,29],"sum":213,"residue":213},{"from_index":1193,"to_index":1199,"interior_indices":[1194,1195,1196,1197,1198],"interior_values":[242,455,107,562,79],"sum":1445,"residue":265},{"from_index":1199,"to_index":1203,"interior_indices":[1200,1201,1202],"interior_values":[130,181,311],"sum":622,"residue":32},{"from_index":1203,"to_index":1204,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1204,"to_index":1211,"interior_indices":[1205,1206,1207,1208,1209,1210],"interior_values":[115,328,443,181,34,215],"sum":1316,"residue":136},{"from_index":1211,"to_index":1213,"interior_indices":[1212],"interior_values":[464],"sum":464,"residue":464},{"from_index":1213,"to_index":1215,"interior_indices":[1214],"interior_values":[587],"sum":587,"residue":587},{"from_index":1215,"to_index":1216,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1216,"to_index":1217,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1217,"to_index":1218,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1218,"to_index":1223,"interior_indices":[1219,1220,1221,1222],"interior_values":[1,355,356,121],"sum":833,"residue":243},{"from_index":1223,"to_index":1228,"interior_indices":[1224,1225,1226,1227],"interior_values":[8,485,493,388],"sum":1374,"residue":194},{"from_index":1228,"to_index":1233,"interior_indices":[1229,1230,1231,1232],"interior_values":[89,380,469,259],"sum":1197,"residue":17},{"from_index":1233,"to_index":1236,"interior_indices":[1234,1235],"interior_values":[397,535],"sum":932,"residue":342},{"from_index":1236,"to_index":1238,"interior_indices":[1237],"interior_values":[287],"sum":287,"residue":287},{"from_index":1238,"to_index":1243,"interior_indices":[1239,1240,1241,1242],"interior_values":[326,365,101,466],"sum":1258,"residue":78},{"from_index":1243,"to_index":1245,"interior_indices":[1244],"interior_values":[443],"sum":443,"residue":443},{"from_index":1245,"to_index":1246,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1246,"to_index":1253,"interior_indices":[1247,1248,1249,1250,1251,1252],"interior_values":[103,376,479,265,154,419],"sum":1796,"residue":26},{"from_index":1253,"to_index":1254,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1254,"to_index":1257,"interior_indices":[1255,1256],"interior_values":[385,197],"sum":582,"residue":582},{"from_index":1257,"to_index":1258,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1258,"to_index":1264,"interior_indices":[1259,1260,1261,1262,1263],"interior_values":[181,370,551,331,292],"sum":1725,"residue":545},{"from_index":1264,"to_index":1267,"interior_indices":[1265,1266],"interior_values":[325,358],"sum":683,"residue":93},{"from_index":1267,"to_index":1270,"interior_indices":[1268,1269],"interior_values":[451,544],"sum":995,"residue":405},{"from_index":1270,"to_index":1272,"interior_indices":[1271],"interior_values":[359],"sum":359,"residue":359},{"from_index":1272,"to_index":1274,"interior_indices":[1273],"interior_values":[533],"sum":533,"residue":533},{"from_index":1274,"to_index":1275,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1275,"to_index":1276,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1276,"to_index":1277,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1277,"to_index":1278,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1278,"to_index":1284,"interior_indices":[1279,1280,1281,1282,1283],"interior_values":[61,475,536,421,367],"sum":1860,"residue":90},{"from_index":1284,"to_index":1288,"interior_indices":[1285,1286,1287],"interior_values":[565,173,148],"sum":886,"residue":296},{"from_index":1288,"to_index":1292,"interior_indices":[1289,1290,1291],"interior_values":[469,200,79],"sum":748,"residue":158},{"from_index":1292,"to_index":1295,"interior_indices":[1293,1294],"interior_values":[358,47],"sum":405,"residue":405},{"from_index":1295,"to_index":1297,"interior_indices":[1296],"interior_values":[452],"sum":452,"residue":452},{"from_index":1297,"to_index":1298,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1298,"to_index":1299,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"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":[331,266,7],"sum":604,"residue":14},{"from_index":1304,"to_index":1307,"interior_indices":[1305,1306],"interior_values":[280,553],"sum":833,"residue":243},{"from_index":1307,"to_index":1312,"interior_indices":[1308,1309,1310,1311],"interior_values":[206,449,65,514],"sum":1234,"residue":54},{"from_index":1312,"to_index":1314,"interior_indices":[1313],"interior_values":[503],"sum":503,"residue":503},{"from_index":1314,"to_index":1315,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1315,"to_index":1318,"interior_indices":[1316,1317],"interior_values":[307,122],"sum":429,"residue":429},{"from_index":1318,"to_index":1320,"interior_indices":[1319],"interior_values":[551],"sum":551,"residue":551},{"from_index":1320,"to_index":1321,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1321,"to_index":1324,"interior_indices":[1322,1323],"interior_values":[151,502],"sum":653,"residue":63},{"from_index":1324,"to_index":1328,"interior_indices":[1325,1326,1327],"interior_values":[565,38,13],"sum":616,"residue":26},{"from_index":1328,"to_index":1332,"interior_indices":[1329,1330,1331],"interior_values":[64,115,179],"sum":358,"residue":358},{"from_index":1332,"to_index":1334,"interior_indices":[1333],"interior_values":[473],"sum":473,"residue":473},{"from_index":1334,"to_index":1335,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1335,"to_index":1336,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1336,"to_index":1337,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1337,"to_index":1338,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1338,"to_index":1341,"interior_indices":[1339,1340],"interior_values":[241,185],"sum":426,"residue":426},{"from_index":1341,"to_index":1342,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1342,"to_index":1343,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1343,"to_index":1344,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1344,"to_index":1347,"interior_indices":[1345,1346],"interior_values":[325,203],"sum":528,"residue":528},{"from_index":1347,"to_index":1348,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1348,"to_index":1352,"interior_indices":[1349,1350,1351],"interior_values":[79,220,299],"sum":598,"residue":8},{"from_index":1352,"to_index":1353,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1353,"to_index":1359,"interior_indices":[1354,1355,1356,1357,1358],"interior_values":[157,385,542,337,289],"sum":1710,"residue":530},{"from_index":1359,"to_index":1362,"interior_indices":[1360,1361],"interior_values":[325,361],"sum":686,"residue":96},{"from_index":1362,"to_index":1365,"interior_indices":[1363,1364],"interior_values":[457,553],"sum":1010,"residue":420},{"from_index":1365,"to_index":1367,"interior_indices":[1366],"interior_values":[383],"sum":383,"residue":383},{"from_index":1367,"to_index":1368,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1368,"to_index":1369,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1369,"to_index":1370,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1370,"to_index":1371,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1371,"to_index":1374,"interior_indices":[1372,1373],"interior_values":[79,523],"sum":602,"residue":12},{"from_index":1374,"to_index":1377,"interior_indices":[1375,1376],"interior_values":[535,547],"sum":1082,"residue":492},{"from_index":1377,"to_index":1379,"interior_indices":[1378],"interior_values":[449],"sum":449,"residue":449},{"from_index":1379,"to_index":1380,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1380,"to_index":1381,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1381,"to_index":1384,"interior_indices":[1382,1383],"interior_values":[181,152],"sum":333,"residue":333},{"from_index":1384,"to_index":1386,"interior_indices":[1385],"interior_values":[485],"sum":485,"residue":485},{"from_index":1386,"to_index":1387,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1387,"to_index":1388,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1388,"to_index":1389,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1389,"to_index":1392,"interior_indices":[1390,1391],"interior_values":[235,119],"sum":354,"residue":354},{"from_index":1392,"to_index":1394,"interior_indices":[1393],"interior_values":[473],"sum":473,"residue":473},{"from_index":1394,"to_index":1395,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1395,"to_index":1396,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1396,"to_index":1397,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1397,"to_index":1400,"interior_indices":[1398,1399],"interior_values":[244,131],"sum":375,"residue":375},{"from_index":1400,"to_index":1402,"interior_indices":[1401],"interior_values":[506],"sum":506,"residue":506},{"from_index":1402,"to_index":1403,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1403,"to_index":1404,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1404,"to_index":1407,"interior_indices":[1405,1406],"interior_values":[115,23],"sum":138,"residue":138},{"from_index":1407,"to_index":1412,"interior_indices":[1408,1409,1410,1411],"interior_values":[161,299,460,169],"sum":1089,"residue":499},{"from_index":1412,"to_index":1417,"interior_indices":[1413,1414,1415,1416],"interior_values":[208,247,455,112],"sum":1022,"residue":432},{"from_index":1417,"to_index":1419,"interior_indices":[1418],"interior_values":[89],"sum":89,"residue":89},{"from_index":1419,"to_index":1425,"interior_indices":[1420,1421,1422,1423,1424],"interior_values":[155,221,376,7,383],"sum":1142,"residue":552},{"from_index":1425,"to_index":1426,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1426,"to_index":1427,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1427,"to_index":1430,"interior_indices":[1428,1429],"interior_values":[166,149],"sum":315,"residue":315},{"from_index":1430,"to_index":1432,"interior_indices":[1431],"interior_values":[464],"sum":464,"residue":464},{"from_index":1432,"to_index":1433,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1433,"to_index":1434,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1434,"to_index":1435,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1435,"to_index":1436,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1436,"to_index":1439,"interior_indices":[1437,1438],"interior_values":[292,269],"sum":561,"residue":561},{"from_index":1439,"to_index":1440,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1440,"to_index":1443,"interior_indices":[1441,1442],"interior_values":[211,451],"sum":662,"residue":72},{"from_index":1443,"to_index":1446,"interior_indices":[1444,1445],"interior_values":[523,5],"sum":528,"residue":528},{"from_index":1446,"to_index":1448,"interior_indices":[1447],"interior_values":[533],"sum":533,"residue":533},{"from_index":1448,"to_index":1449,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1449,"to_index":1452,"interior_indices":[1450,1451],"interior_values":[295,119],"sum":414,"residue":414},{"from_index":1452,"to_index":1454,"interior_indices":[1453],"interior_values":[533],"sum":533,"residue":533},{"from_index":1454,"to_index":1455,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1455,"to_index":1462,"interior_indices":[1456,1457,1458,1459,1460,1461],"interior_values":[67,367,434,211,55,266],"sum":1400,"residue":220},{"from_index":1462,"to_index":1464,"interior_indices":[1463],"interior_values":[587],"sum":587,"residue":587},{"from_index":1464,"to_index":1465,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1465,"to_index":1470,"interior_indices":[1466,1467,1468,1469],"interior_values":[43,358,401,169],"sum":971,"residue":381},{"from_index":1470,"to_index":1472,"interior_indices":[1471],"interior_values":[149],"sum":149,"residue":149},{"from_index":1472,"to_index":1479,"interior_indices":[1473,1474,1475,1476,1477,1478],"interior_values":[278,407,95,502,7,509],"sum":1798,"residue":28},{"from_index":1479,"to_index":1480,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1480,"to_index":1483,"interior_indices":[1481,1482],"interior_values":[361,206],"sum":567,"residue":567},{"from_index":1483,"to_index":1484,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1484,"to_index":1492,"interior_indices":[1485,1486,1487,1488,1489,1490,1491],"interior_values":[160,343,503,256,169,425,4],"sum":1860,"residue":90},{"from_index":1492,"to_index":1496,"interior_indices":[1493,1494,1495],"interior_values":[433,272,115],"sum":820,"residue":230},{"from_index":1496,"to_index":1500,"interior_indices":[1497,1498,1499],"interior_values":[502,299,211],"sum":1012,"residue":422},{"from_index":1500,"to_index":1502,"interior_indices":[1501],"interior_values":[131],"sum":131,"residue":131},{"from_index":1502,"to_index":1508,"interior_indices":[1503,1504,1505,1506,1507],"interior_values":[182,233,415,58,473],"sum":1361,"residue":181},{"from_index":1508,"to_index":1509,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1509,"to_index":1512,"interior_indices":[1510,1511],"interior_values":[355,179],"sum":534,"residue":534},{"from_index":1512,"to_index":1513,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1513,"to_index":1517,"interior_indices":[1514,1515,1516],"interior_values":[67,190,257],"sum":514,"residue":514},{"from_index":1517,"to_index":1518,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1518,"to_index":1519,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1519,"to_index":1522,"interior_indices":[1520,1521],"interior_values":[85,56],"sum":141,"residue":141},{"from_index":1522,"to_index":1527,"interior_indices":[1523,1524,1525,1526],"interior_values":[197,338,535,283],"sum":1353,"residue":173},{"from_index":1527,"to_index":1531,"interior_indices":[1528,1529,1530],"interior_values":[511,149,70],"sum":730,"residue":140},{"from_index":1531,"to_index":1534,"interior_indices":[1532,1533],"interior_values":[289,508],"sum":797,"residue":207},{"from_index":1534,"to_index":1539,"interior_indices":[1535,1536,1537,1538],"interior_values":[125,332,457,199],"sum":1113,"residue":523},{"from_index":1539,"to_index":1542,"interior_indices":[1540,1541],"interior_values":[265,331],"sum":596,"residue":6},{"from_index":1542,"to_index":1545,"interior_indices":[1543,1544],"interior_values":[337,343],"sum":680,"residue":90},{"from_index":1545,"to_index":1548,"interior_indices":[1546,1547],"interior_values":[433,523],"sum":956,"residue":366},{"from_index":1548,"to_index":1550,"interior_indices":[1549],"interior_values":[299],"sum":299,"residue":299},{"from_index":1550,"to_index":1556,"interior_indices":[1551,1552,1553,1554,1555],"interior_values":[374,449,233,92,325],"sum":1473,"residue":293},{"from_index":1556,"to_index":1562,"interior_indices":[1557,1558,1559,1560,1561],"interior_values":[152,569,131,110,241],"sum":1203,"residue":23},{"from_index":1562,"to_index":1569,"interior_indices":[1563,1564,1565,1566,1567,1568],"interior_values":[2,353,355,118,473,1],"sum":1302,"residue":122},{"from_index":1569,"to_index":1575,"interior_indices":[1570,1571,1572,1573,1574],"interior_values":[475,359,244,13,257],"sum":1348,"residue":168},{"from_index":1575,"to_index":1577,"interior_indices":[1576],"interior_values":[527],"sum":527,"residue":527},{"from_index":1577,"to_index":1578,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1578,"to_index":1579,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1579,"to_index":1580,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1580,"to_index":1583,"interior_indices":[1581,1582],"interior_values":[256,161],"sum":417,"residue":417},{"from_index":1583,"to_index":1585,"interior_indices":[1584],"interior_values":[578],"sum":578,"residue":578},{"from_index":1585,"to_index":1586,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1586,"to_index":1589,"interior_indices":[1587,1588],"interior_values":[208,11],"sum":219,"residue":219},{"from_index":1589,"to_index":1599,"interior_indices":[1590,1591,1592,1593,1594,1595,1596,1597,1598],"interior_values":[230,449,89,538,37,575,22,7,29],"sum":1976,"residue":206},{"from_index":1599,"to_index":1603,"interior_indices":[1600,1601,1602],"interior_values":[65,101,166],"sum":332,"residue":332},{"from_index":1603,"to_index":1606,"interior_indices":[1604,1605],"interior_values":[433,110],"sum":543,"residue":543},{"from_index":1606,"to_index":1607,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1607,"to_index":1611,"interior_indices":[1608,1609,1610],"interior_values":[16,79,95],"sum":190,"residue":190},{"from_index":1611,"to_index":1617,"interior_indices":[1612,1613,1614,1615,1616],"interior_values":[269,443,122,565,97],"sum":1496,"residue":316},{"from_index":1617,"to_index":1622,"interior_indices":[1618,1619,1620,1621],"interior_values":[169,241,410,61],"sum":881,"residue":291},{"from_index":1622,"to_index":1631,"interior_indices":[1623,1624,1625,1626,1627,1628,1629,1630],"interior_values":[532,413,355,178,533,121,64,185],"sum":2381,"residue":21},{"from_index":1631,"to_index":1633,"interior_indices":[1632],"interior_values":[434],"sum":434,"residue":434},{"from_index":1633,"to_index":1635,"interior_indices":[1634],"interior_values":[527],"sum":527,"residue":527},{"from_index":1635,"to_index":1646,"interior_indices":[1636,1637,1638,1639,1640,1641,1642,1643,1644,1645],"interior_values":[557,587,554,551,515,476,401,287,98,385],"sum":4411,"residue":281},{"from_index":1646,"to_index":1648,"interior_indices":[1647],"interior_values":[278],"sum":278,"residue":278},{"from_index":1648,"to_index":1650,"interior_indices":[1649],"interior_values":[449],"sum":449,"residue":449},{"from_index":1650,"to_index":1657,"interior_indices":[1651,1652,1653,1654,1655,1656],"interior_values":[479,509,398,317,125,442],"sum":2270,"residue":500},{"from_index":1657,"to_index":1659,"interior_indices":[1658],"interior_values":[419],"sum":419,"residue":419},{"from_index":1659,"to_index":1660,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1660,"to_index":1664,"interior_indices":[1661,1662,1663],"interior_values":[31,256,287],"sum":574,"residue":574},{"from_index":1664,"to_index":1665,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1665,"to_index":1668,"interior_indices":[1666,1667],"interior_values":[193,433],"sum":626,"residue":36},{"from_index":1668,"to_index":1671,"interior_indices":[1669,1670],"interior_values":[469,505],"sum":974,"residue":384},{"from_index":1671,"to_index":1673,"interior_indices":[1672],"interior_values":[299],"sum":299,"residue":299},{"from_index":1673,"to_index":1682,"interior_indices":[1674,1675,1676,1677,1678,1679,1680,1681],"interior_values":[392,485,287,182,469,61,530,1],"sum":2407,"residue":47},{"from_index":1682,"to_index":1687,"interior_indices":[1683,1684,1685,1686],"interior_values":[532,473,415,298],"sum":1718,"residue":538},{"from_index":1687,"to_index":1690,"interior_indices":[1688,1689],"interior_values":[421,544],"sum":965,"residue":375},{"from_index":1690,"to_index":1692,"interior_indices":[1691],"interior_values":[329],"sum":329,"residue":329},{"from_index":1692,"to_index":1700,"interior_indices":[1693,1694,1695,1696,1697,1698,1699],"interior_values":[443,557,410,377,197,574,181],"sum":2739,"residue":379},{"from_index":1700,"to_index":1703,"interior_indices":[1701,1702],"interior_values":[346,511],"sum":857,"residue":267},{"from_index":1703,"to_index":1708,"interior_indices":[1704,1705,1706,1707],"interior_values":[188,455,53,508],"sum":1204,"residue":24},{"from_index":1708,"to_index":1710,"interior_indices":[1709],"interior_values":[479],"sum":479,"residue":479},{"from_index":1710,"to_index":1711,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1711,"to_index":1714,"interior_indices":[1712,1713],"interior_values":[199,538],"sum":737,"residue":147},{"from_index":1714,"to_index":1718,"interior_indices":[1715,1716,1717],"interior_values":[95,242,337],"sum":674,"residue":84},{"from_index":1718,"to_index":1720,"interior_indices":[1719],"interior_values":[326],"sum":326,"residue":326},{"from_index":1720,"to_index":1721,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1721,"to_index":1722,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1722,"to_index":1723,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1723,"to_index":1726,"interior_indices":[1724,1725],"interior_values":[193,20],"sum":213,"residue":213},{"from_index":1726,"to_index":1734,"interior_indices":[1727,1728,1729,1730,1731,1732,1733],"interior_values":[233,446,89,535,34,569,13],"sum":1919,"residue":149},{"from_index":1734,"to_index":0,"interior_indices":[1735,1736,1737,1738,1739],"interior_values":[5,587,2,589,1],"sum":1184,"residue":4}],"minimal_cycle":[4,26,178,437,224,359,287,566,455,0,64,410,406,117,2,364,485,0,0,0,168,474,0,0,273,398,317,287,476,551,587,0,0,0,0,0,0,63,122,72,468,443,0,0,63,314,525,0,0,471,449,0,0,405,0,0,0,351,446,0,0,0,243,119,482,131,60,233,322,54,258,137,158,252,27,476,0,123,470,299,553,230,8,50,0,516,0,190,487,315,370,300,176,196,110,0,315,338,533,407,0,442,0,0,0,273,0,0,207,317,233,356,239,485,380,0,0,420,365,584,0,0,434,48,228,88,0,447,569,0,297,353,92,263,137,536,449,0,51,396,461,0,0,0,158,296,21,413,289,68,0,573,0,412,0,0,225,370,210,178,0,117,473,0,0,0,0,0,460,0,51,483,455,0,0,339,494,0,0,0,62,417,488,0,0,240,20,297,0,0,0,123,164,519,0,0,42,296,435,479,0,0,267,374,262,68,0,231,7,0,93,170,102,582,0,202,331,432,107,559,57,249,586,237,11,270,521,374,0,0,0,129,72,302,575,0,0,219,221,397,333,308,535,297,227,173,290,427,30,162,176,225,173,308,362,284,475,477,539,0,207,479,299,464,269,221,78,461,0,63,567,587,0,89,476,119,476,254,109,550,0,0,207,353,272,455,449,410,0,430,0,0,0,356,119,208,0,170,86,216,137,74,572,138,8,466,0,0,0,405,536,0,4,490,495,551,0,393,503,0,0,243,116,377,248,69,443,0,460,0,484,0,292,0,0,0,413,124,0,17,8,574,0,2,0,3,249,147,476,0,0,0,0,213,553,537,0,0,51,386,302,258,587,0,3,303,308,27,377,0,0,0,62,390,443,0,0,0,213,265,32,0,136,464,587,0,0,0,243,194,17,342,287,78,443,0,26,0,582,0,545,93,405,359,533,0,0,0,0,90,296,158,405,452,0,0,0,14,243,54,503,0,429,551,0,63,26,358,473,0,0,0,0,426,0,0,0,528,0,8,0,530,96,420,383,0,0,0,0,12,492,449,0,0,333,485,0,0,0,354,473,0,0,0,375,506,0,0,138,499,432,89,552,0,0,315,464,0,0,0,0,561,0,72,528,533,0,414,533,0,220,587,0,381,149,28,0,567,0,90,230,422,131,181,0,534,0,514,0,0,141,173,140,207,523,6,90,366,299,293,23,122,168,527,0,0,0,417,578,0,219,206,332,543,0,190,316,291,21,434,527,281,278,449,500,419,0,574,0,36,384,299,47,538,375,329,379,267,24,479,0,147,84,326,0,0,0,213,149,4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[1740,4],"start_interval_values":[1,1,2],"circle_positions":590,"cycle_length":570,"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":[0,580,1160],"clock_positions":[1740,580,1160],"native_values":[590,295,295],"rotation_degrees":0.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[590,295,295],"beta":{"interval_sums":[171100,166970,171100],"interval_residues":[0,0,0],"display_cycle":[590,590,590],"intervals":[{"from_index":0,"to_index":580,"sum":171100,"residue":0},{"from_index":580,"to_index":1160,"sum":166970,"residue":0},{"from_index":1160,"to_index":0,"sum":171100,"residue":0}],"minimal_cycle":[0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":590,"start_interval_clock_positions":[1740,580],"circle_positions":590,"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":[1,581,1161],"clock_positions":[1,581,1161],"native_values":[1,1,296],"rotation_degrees":0.20689655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,1,296],"beta":{"interval_sums":[171394,167264,170804],"interval_residues":[294,294,294],"display_cycle":[294,294,294],"intervals":[{"from_index":1,"to_index":581,"sum":171394,"residue":294},{"from_index":581,"to_index":1161,"sum":167264,"residue":294},{"from_index":1161,"to_index":1,"sum":170804,"residue":294}],"minimal_cycle":[294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[1,581],"circle_positions":590,"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":[2,582,1162],"clock_positions":[2,582,1162],"native_values":[1,296,1],"rotation_degrees":0.41379310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,296,1],"beta":{"interval_sums":[171394,167264,170804],"interval_residues":[294,294,294],"display_cycle":[294,294,294],"intervals":[{"from_index":2,"to_index":582,"sum":171394,"residue":294},{"from_index":582,"to_index":1162,"sum":167264,"residue":294},{"from_index":1162,"to_index":2,"sum":170804,"residue":294}],"minimal_cycle":[294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[2,582],"circle_positions":590,"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":[3,583,1163],"clock_positions":[3,583,1163],"native_values":[2,297,297],"rotation_degrees":0.6206896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,297,297],"beta":{"interval_sums":[171688,166968,170508],"interval_residues":[588,588,588],"display_cycle":[588,588,588],"intervals":[{"from_index":3,"to_index":583,"sum":171688,"residue":588},{"from_index":583,"to_index":1163,"sum":166968,"residue":588},{"from_index":1163,"to_index":3,"sum":170508,"residue":588}],"minimal_cycle":[588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[3,583],"circle_positions":590,"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":[4,584,1164],"clock_positions":[4,584,1164],"native_values":[3,3,298],"rotation_degrees":0.8275862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,3,298],"beta":{"interval_sums":[171982,167262,170212],"interval_residues":[292,292,292],"display_cycle":[292,292,292],"intervals":[{"from_index":4,"to_index":584,"sum":171982,"residue":292},{"from_index":584,"to_index":1164,"sum":167262,"residue":292},{"from_index":1164,"to_index":4,"sum":170212,"residue":292}],"minimal_cycle":[292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[4,584],"circle_positions":590,"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":[5,585,1165],"clock_positions":[5,585,1165],"native_values":[5,300,5],"rotation_degrees":1.0344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,300,5],"beta":{"interval_sums":[171980,167260,170210],"interval_residues":[290,290,290],"display_cycle":[290,290,290],"intervals":[{"from_index":5,"to_index":585,"sum":171980,"residue":290},{"from_index":585,"to_index":1165,"sum":167260,"residue":290},{"from_index":1165,"to_index":5,"sum":170210,"residue":290}],"minimal_cycle":[290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[5,585],"circle_positions":590,"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":[6,586,1166],"clock_positions":[6,586,1166],"native_values":[8,303,303],"rotation_degrees":1.2413793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,303,303],"beta":{"interval_sums":[172272,166962,169912],"interval_residues":[582,582,582],"display_cycle":[582,582,582],"intervals":[{"from_index":6,"to_index":586,"sum":172272,"residue":582},{"from_index":586,"to_index":1166,"sum":166962,"residue":582},{"from_index":1166,"to_index":6,"sum":169912,"residue":582}],"minimal_cycle":[582],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":582,"start_interval_clock_positions":[6,586],"circle_positions":590,"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":[7,587,1167],"clock_positions":[7,587,1167],"native_values":[13,13,308],"rotation_degrees":1.4482758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,13,308],"beta":{"interval_sums":[172562,167252,169612],"interval_residues":[282,282,282],"display_cycle":[282,282,282],"intervals":[{"from_index":7,"to_index":587,"sum":172562,"residue":282},{"from_index":587,"to_index":1167,"sum":167252,"residue":282},{"from_index":1167,"to_index":7,"sum":169612,"residue":282}],"minimal_cycle":[282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":282,"start_interval_clock_positions":[7,587],"circle_positions":590,"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":[8,588,1168],"clock_positions":[8,588,1168],"native_values":[21,316,21],"rotation_degrees":1.6551724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,316,21],"beta":{"interval_sums":[172554,167244,169604],"interval_residues":[274,274,274],"display_cycle":[274,274,274],"intervals":[{"from_index":8,"to_index":588,"sum":172554,"residue":274},{"from_index":588,"to_index":1168,"sum":167244,"residue":274},{"from_index":1168,"to_index":8,"sum":169604,"residue":274}],"minimal_cycle":[274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":274,"start_interval_clock_positions":[8,588],"circle_positions":590,"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":[9,589,1169],"clock_positions":[9,589,1169],"native_values":[34,329,329],"rotation_degrees":1.8620689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,329,329],"beta":{"interval_sums":[172836,166936,169296],"interval_residues":[556,556,556],"display_cycle":[556,556,556],"intervals":[{"from_index":9,"to_index":589,"sum":172836,"residue":556},{"from_index":589,"to_index":1169,"sum":166936,"residue":556},{"from_index":1169,"to_index":9,"sum":169296,"residue":556}],"minimal_cycle":[556],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":556,"start_interval_clock_positions":[9,589],"circle_positions":590,"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":[10,590,1170],"clock_positions":[10,590,1170],"native_values":[55,55,350],"rotation_degrees":2.0689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,55,350],"beta":{"interval_sums":[173110,167210,168980],"interval_residues":[240,240,240],"display_cycle":[240,240,240],"intervals":[{"from_index":10,"to_index":590,"sum":173110,"residue":240},{"from_index":590,"to_index":1170,"sum":167210,"residue":240},{"from_index":1170,"to_index":10,"sum":168980,"residue":240}],"minimal_cycle":[240],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[10,590],"circle_positions":590,"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":[11,591,1171],"clock_positions":[11,591,1171],"native_values":[89,384,89],"rotation_degrees":2.2758620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,384,89],"beta":{"interval_sums":[173076,167176,168946],"interval_residues":[206,206,206],"display_cycle":[206,206,206],"intervals":[{"from_index":11,"to_index":591,"sum":173076,"residue":206},{"from_index":591,"to_index":1171,"sum":167176,"residue":206},{"from_index":1171,"to_index":11,"sum":168946,"residue":206}],"minimal_cycle":[206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[11,591],"circle_positions":590,"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":[12,592,1172],"clock_positions":[12,592,1172],"native_values":[144,439,439],"rotation_degrees":2.4827586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,439,439],"beta":{"interval_sums":[173316,166826,168596],"interval_residues":[446,446,446],"display_cycle":[446,446,446],"intervals":[{"from_index":12,"to_index":592,"sum":173316,"residue":446},{"from_index":592,"to_index":1172,"sum":166826,"residue":446},{"from_index":1172,"to_index":12,"sum":168596,"residue":446}],"minimal_cycle":[446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[12,592],"circle_positions":590,"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":[13,593,1173],"clock_positions":[13,593,1173],"native_values":[233,233,528],"rotation_degrees":2.689655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,233,528],"beta":{"interval_sums":[173522,167032,168212],"interval_residues":[62,62,62],"display_cycle":[62,62,62],"intervals":[{"from_index":13,"to_index":593,"sum":173522,"residue":62},{"from_index":593,"to_index":1173,"sum":167032,"residue":62},{"from_index":1173,"to_index":13,"sum":168212,"residue":62}],"minimal_cycle":[62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[13,593],"circle_positions":590,"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":[14,594,1174],"clock_positions":[14,594,1174],"native_values":[377,82,377],"rotation_degrees":2.896551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,82,377],"beta":{"interval_sums":[173378,167478,168068],"interval_residues":[508,508,508],"display_cycle":[508,508,508],"intervals":[{"from_index":14,"to_index":594,"sum":173378,"residue":508},{"from_index":594,"to_index":1174,"sum":167478,"residue":508},{"from_index":1174,"to_index":14,"sum":168068,"residue":508}],"minimal_cycle":[508],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":508,"start_interval_clock_positions":[14,594],"circle_positions":590,"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":[15,595,1175],"clock_positions":[15,595,1175],"native_values":[20,315,315],"rotation_degrees":3.103448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[20,315,315],"beta":{"interval_sums":[173440,167540,168130],"interval_residues":[570,570,570],"display_cycle":[570,570,570],"intervals":[{"from_index":15,"to_index":595,"sum":173440,"residue":570},{"from_index":595,"to_index":1175,"sum":167540,"residue":570},{"from_index":1175,"to_index":15,"sum":168130,"residue":570}],"minimal_cycle":[570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[15,595],"circle_positions":590,"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":[16,596,1176],"clock_positions":[16,596,1176],"native_values":[397,397,102],"rotation_degrees":3.310344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,397,102],"beta":{"interval_sums":[173358,167458,168048],"interval_residues":[488,488,488],"display_cycle":[488,488,488],"intervals":[{"from_index":16,"to_index":596,"sum":173358,"residue":488},{"from_index":596,"to_index":1176,"sum":167458,"residue":488},{"from_index":1176,"to_index":16,"sum":168048,"residue":488}],"minimal_cycle":[488],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":488,"start_interval_clock_positions":[16,596],"circle_positions":590,"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":[17,597,1177],"clock_positions":[17,597,1177],"native_values":[417,122,417],"rotation_degrees":3.5172413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,122,417],"beta":{"interval_sums":[173338,167438,168028],"interval_residues":[468,468,468],"display_cycle":[468,468,468],"intervals":[{"from_index":17,"to_index":597,"sum":173338,"residue":468},{"from_index":597,"to_index":1177,"sum":167438,"residue":468},{"from_index":1177,"to_index":17,"sum":168028,"residue":468}],"minimal_cycle":[468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[17,597],"circle_positions":590,"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":[18,598,1178],"clock_positions":[18,598,1178],"native_values":[224,519,519],"rotation_degrees":3.7241379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[224,519,519],"beta":{"interval_sums":[173236,167336,167926],"interval_residues":[366,366,366],"display_cycle":[366,366,366],"intervals":[{"from_index":18,"to_index":598,"sum":173236,"residue":366},{"from_index":598,"to_index":1178,"sum":167336,"residue":366},{"from_index":1178,"to_index":18,"sum":167926,"residue":366}],"minimal_cycle":[366],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":366,"start_interval_clock_positions":[18,598],"circle_positions":590,"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":[19,599,1179],"clock_positions":[19,599,1179],"native_values":[51,51,346],"rotation_degrees":3.9310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,51,346],"beta":{"interval_sums":[173704,167804,167804],"interval_residues":[244,244,244],"display_cycle":[244,244,244],"intervals":[{"from_index":19,"to_index":599,"sum":173704,"residue":244},{"from_index":599,"to_index":1179,"sum":167804,"residue":244},{"from_index":1179,"to_index":19,"sum":167804,"residue":244}],"minimal_cycle":[244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[19,599],"circle_positions":590,"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":[20,600,1180],"clock_positions":[20,600,1180],"native_values":[275,570,275],"rotation_degrees":4.137931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[275,570,275],"beta":{"interval_sums":[173480,167580,167580],"interval_residues":[20,20,20],"display_cycle":[20,20,20],"intervals":[{"from_index":20,"to_index":600,"sum":173480,"residue":20},{"from_index":600,"to_index":1180,"sum":167580,"residue":20},{"from_index":1180,"to_index":20,"sum":167580,"residue":20}],"minimal_cycle":[20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":20,"start_interval_clock_positions":[20,600],"circle_positions":590,"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":[21,601,1181],"clock_positions":[21,601,1181],"native_values":[326,31,31],"rotation_degrees":4.344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[326,31,31],"beta":{"interval_sums":[173724,167824,167824],"interval_residues":[264,264,264],"display_cycle":[264,264,264],"intervals":[{"from_index":21,"to_index":601,"sum":173724,"residue":264},{"from_index":601,"to_index":1181,"sum":167824,"residue":264},{"from_index":1181,"to_index":21,"sum":167824,"residue":264}],"minimal_cycle":[264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":264,"start_interval_clock_positions":[21,601],"circle_positions":590,"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":[22,602,1182],"clock_positions":[22,602,1182],"native_values":[11,11,306],"rotation_degrees":4.551724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[11,11,306],"beta":{"interval_sums":[173744,167844,167844],"interval_residues":[284,284,284],"display_cycle":[284,284,284],"intervals":[{"from_index":22,"to_index":602,"sum":173744,"residue":284},{"from_index":602,"to_index":1182,"sum":167844,"residue":284},{"from_index":1182,"to_index":22,"sum":167844,"residue":284}],"minimal_cycle":[284],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":284,"start_interval_clock_positions":[22,602],"circle_positions":590,"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":[23,603,1183],"clock_positions":[23,603,1183],"native_values":[337,42,337],"rotation_degrees":4.758620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,42,337],"beta":{"interval_sums":[173418,168108,167518],"interval_residues":[548,548,548],"display_cycle":[548,548,548],"intervals":[{"from_index":23,"to_index":603,"sum":173418,"residue":548},{"from_index":603,"to_index":1183,"sum":168108,"residue":548},{"from_index":1183,"to_index":23,"sum":167518,"residue":548}],"minimal_cycle":[548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":548,"start_interval_clock_positions":[23,603],"circle_positions":590,"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":[24,604,1184],"clock_positions":[24,604,1184],"native_values":[348,53,53],"rotation_degrees":4.9655172413793105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[348,53,53],"beta":{"interval_sums":[173112,168392,167802],"interval_residues":[242,242,242],"display_cycle":[242,242,242],"intervals":[{"from_index":24,"to_index":604,"sum":173112,"residue":242},{"from_index":604,"to_index":1184,"sum":168392,"residue":242},{"from_index":1184,"to_index":24,"sum":167802,"residue":242}],"minimal_cycle":[242],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":242,"start_interval_clock_positions":[24,604],"circle_positions":590,"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":[25,605,1185],"clock_positions":[25,605,1185],"native_values":[95,95,390],"rotation_degrees":5.172413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,95,390],"beta":{"interval_sums":[173070,168350,167760],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":25,"to_index":605,"sum":173070,"residue":200},{"from_index":605,"to_index":1185,"sum":168350,"residue":200},{"from_index":1185,"to_index":25,"sum":167760,"residue":200}],"minimal_cycle":[200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[25,605],"circle_positions":590,"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":[26,606,1186],"clock_positions":[26,606,1186],"native_values":[443,148,443],"rotation_degrees":5.379310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,148,443],"beta":{"interval_sums":[172722,168592,167412],"interval_residues":[442,442,442],"display_cycle":[442,442,442],"intervals":[{"from_index":26,"to_index":606,"sum":172722,"residue":442},{"from_index":606,"to_index":1186,"sum":168592,"residue":442},{"from_index":1186,"to_index":26,"sum":167412,"residue":442}],"minimal_cycle":[442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[26,606],"circle_positions":590,"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":[27,607,1187],"clock_positions":[27,607,1187],"native_values":[538,243,243],"rotation_degrees":5.586206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[538,243,243],"beta":{"interval_sums":[172332,168792,167612],"interval_residues":[52,52,52],"display_cycle":[52,52,52],"intervals":[{"from_index":27,"to_index":607,"sum":172332,"residue":52},{"from_index":607,"to_index":1187,"sum":168792,"residue":52},{"from_index":1187,"to_index":27,"sum":167612,"residue":52}],"minimal_cycle":[52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[27,607],"circle_positions":590,"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":[28,608,1188],"clock_positions":[28,608,1188],"native_values":[391,391,96],"rotation_degrees":5.793103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,391,96],"beta":{"interval_sums":[172184,168644,168054],"interval_residues":[494,494,494],"display_cycle":[494,494,494],"intervals":[{"from_index":28,"to_index":608,"sum":172184,"residue":494},{"from_index":608,"to_index":1188,"sum":168644,"residue":494},{"from_index":1188,"to_index":28,"sum":168054,"residue":494}],"minimal_cycle":[494],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":494,"start_interval_clock_positions":[28,608],"circle_positions":590,"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":[29,609,1189],"clock_positions":[29,609,1189],"native_values":[339,44,339],"rotation_degrees":6.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[339,44,339],"beta":{"interval_sums":[172236,168696,168106],"interval_residues":[546,546,546],"display_cycle":[546,546,546],"intervals":[{"from_index":29,"to_index":609,"sum":172236,"residue":546},{"from_index":609,"to_index":1189,"sum":168696,"residue":546},{"from_index":1189,"to_index":29,"sum":168106,"residue":546}],"minimal_cycle":[546],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":546,"start_interval_clock_positions":[29,609],"circle_positions":590,"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":[30,610,1190],"clock_positions":[30,610,1190],"native_values":[140,435,435],"rotation_degrees":6.206896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[140,435,435],"beta":{"interval_sums":[172140,168600,168010],"interval_residues":[450,450,450],"display_cycle":[450,450,450],"intervals":[{"from_index":30,"to_index":610,"sum":172140,"residue":450},{"from_index":610,"to_index":1190,"sum":168600,"residue":450},{"from_index":1190,"to_index":30,"sum":168010,"residue":450}],"minimal_cycle":[450],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":450,"start_interval_clock_positions":[30,610],"circle_positions":590,"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":[31,611,1191],"clock_positions":[31,611,1191],"native_values":[479,479,184],"rotation_degrees":6.413793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[479,479,184],"beta":{"interval_sums":[172096,168556,167966],"interval_residues":[406,406,406],"display_cycle":[406,406,406],"intervals":[{"from_index":31,"to_index":611,"sum":172096,"residue":406},{"from_index":611,"to_index":1191,"sum":168556,"residue":406},{"from_index":1191,"to_index":31,"sum":167966,"residue":406}],"minimal_cycle":[406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[31,611],"circle_positions":590,"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":[32,612,1192],"clock_positions":[32,612,1192],"native_values":[29,324,29],"rotation_degrees":6.620689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,324,29],"beta":{"interval_sums":[172546,168416,168416],"interval_residues":[266,266,266],"display_cycle":[266,266,266],"intervals":[{"from_index":32,"to_index":612,"sum":172546,"residue":266},{"from_index":612,"to_index":1192,"sum":168416,"residue":266},{"from_index":1192,"to_index":32,"sum":168416,"residue":266}],"minimal_cycle":[266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[32,612],"circle_positions":590,"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":[33,613,1193],"clock_positions":[33,613,1193],"native_values":[508,213,213],"rotation_degrees":6.827586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[508,213,213],"beta":{"interval_sums":[172362,168232,168232],"interval_residues":[82,82,82],"display_cycle":[82,82,82],"intervals":[{"from_index":33,"to_index":613,"sum":172362,"residue":82},{"from_index":613,"to_index":1193,"sum":168232,"residue":82},{"from_index":1193,"to_index":33,"sum":168232,"residue":82}],"minimal_cycle":[82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[33,613],"circle_positions":590,"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":[34,614,1194],"clock_positions":[34,614,1194],"native_values":[537,537,242],"rotation_degrees":7.0344827586206895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[537,537,242],"beta":{"interval_sums":[172038,167908,168498],"interval_residues":[348,348,348],"display_cycle":[348,348,348],"intervals":[{"from_index":34,"to_index":614,"sum":172038,"residue":348},{"from_index":614,"to_index":1194,"sum":167908,"residue":348},{"from_index":1194,"to_index":34,"sum":168498,"residue":348}],"minimal_cycle":[348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[34,614],"circle_positions":590,"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":[35,615,1195],"clock_positions":[35,615,1195],"native_values":[455,160,455],"rotation_degrees":7.241379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[455,160,455],"beta":{"interval_sums":[172120,167990,168580],"interval_residues":[430,430,430],"display_cycle":[430,430,430],"intervals":[{"from_index":35,"to_index":615,"sum":172120,"residue":430},{"from_index":615,"to_index":1195,"sum":167990,"residue":430},{"from_index":1195,"to_index":35,"sum":168580,"residue":430}],"minimal_cycle":[430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[35,615],"circle_positions":590,"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":[36,616,1196],"clock_positions":[36,616,1196],"native_values":[402,107,107],"rotation_degrees":7.448275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[402,107,107],"beta":{"interval_sums":[171878,168338,168928],"interval_residues":[188,188,188],"display_cycle":[188,188,188],"intervals":[{"from_index":36,"to_index":616,"sum":171878,"residue":188},{"from_index":616,"to_index":1196,"sum":168338,"residue":188},{"from_index":1196,"to_index":36,"sum":168928,"residue":188}],"minimal_cycle":[188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[36,616],"circle_positions":590,"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":[37,617,1197],"clock_positions":[37,617,1197],"native_values":[267,267,562],"rotation_degrees":7.655172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[267,267,562],"beta":{"interval_sums":[171718,168178,168768],"interval_residues":[28,28,28],"display_cycle":[28,28,28],"intervals":[{"from_index":37,"to_index":617,"sum":171718,"residue":28},{"from_index":617,"to_index":1197,"sum":168178,"residue":28},{"from_index":1197,"to_index":37,"sum":168768,"residue":28}],"minimal_cycle":[28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[37,617],"circle_positions":590,"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":[38,618,1198],"clock_positions":[38,618,1198],"native_values":[79,374,79],"rotation_degrees":7.862068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,374,79],"beta":{"interval_sums":[171906,168366,168956],"interval_residues":[216,216,216],"display_cycle":[216,216,216],"intervals":[{"from_index":38,"to_index":618,"sum":171906,"residue":216},{"from_index":618,"to_index":1198,"sum":168366,"residue":216},{"from_index":1198,"to_index":38,"sum":168956,"residue":216}],"minimal_cycle":[216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[38,618],"circle_positions":590,"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":[39,619,1199],"clock_positions":[39,619,1199],"native_values":[346,51,51],"rotation_degrees":8.068965517241379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[346,51,51],"beta":{"interval_sums":[171934,168394,168984],"interval_residues":[244,244,244],"display_cycle":[244,244,244],"intervals":[{"from_index":39,"to_index":619,"sum":171934,"residue":244},{"from_index":619,"to_index":1199,"sum":168394,"residue":244},{"from_index":1199,"to_index":39,"sum":168984,"residue":244}],"minimal_cycle":[244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[39,619],"circle_positions":590,"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":[40,620,1200],"clock_positions":[40,620,1200],"native_values":[425,425,130],"rotation_degrees":8.275862068965518,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[425,425,130],"beta":{"interval_sums":[171560,168020,169200],"interval_residues":[460,460,460],"display_cycle":[460,460,460],"intervals":[{"from_index":40,"to_index":620,"sum":171560,"residue":460},{"from_index":620,"to_index":1200,"sum":168020,"residue":460},{"from_index":1200,"to_index":40,"sum":169200,"residue":460}],"minimal_cycle":[460],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":460,"start_interval_clock_positions":[40,620],"circle_positions":590,"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":[41,621,1201],"clock_positions":[41,621,1201],"native_values":[181,476,181],"rotation_degrees":8.482758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,476,181],"beta":{"interval_sums":[171804,167674,169444],"interval_residues":[114,114,114],"display_cycle":[114,114,114],"intervals":[{"from_index":41,"to_index":621,"sum":171804,"residue":114},{"from_index":621,"to_index":1201,"sum":167674,"residue":114},{"from_index":1201,"to_index":41,"sum":169444,"residue":114}],"minimal_cycle":[114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[41,621],"circle_positions":590,"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":[42,622,1202],"clock_positions":[42,622,1202],"native_values":[16,311,311],"rotation_degrees":8.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[16,311,311],"beta":{"interval_sums":[172264,167544,169314],"interval_residues":[574,574,574],"display_cycle":[574,574,574],"intervals":[{"from_index":42,"to_index":622,"sum":172264,"residue":574},{"from_index":622,"to_index":1202,"sum":167544,"residue":574},{"from_index":1202,"to_index":42,"sum":169314,"residue":574}],"minimal_cycle":[574],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[42,622],"circle_positions":590,"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":[43,623,1203],"clock_positions":[43,623,1203],"native_values":[197,197,492],"rotation_degrees":8.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,197,492],"beta":{"interval_sums":[172378,167658,168838],"interval_residues":[98,98,98],"display_cycle":[98,98,98],"intervals":[{"from_index":43,"to_index":623,"sum":172378,"residue":98},{"from_index":623,"to_index":1203,"sum":167658,"residue":98},{"from_index":1203,"to_index":43,"sum":168838,"residue":98}],"minimal_cycle":[98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":98,"start_interval_clock_positions":[43,623],"circle_positions":590,"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":[44,624,1204],"clock_positions":[44,624,1204],"native_values":[213,508,213],"rotation_degrees":9.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,508,213],"beta":{"interval_sums":[172362,167642,168822],"interval_residues":[82,82,82],"display_cycle":[82,82,82],"intervals":[{"from_index":44,"to_index":624,"sum":172362,"residue":82},{"from_index":624,"to_index":1204,"sum":167642,"residue":82},{"from_index":1204,"to_index":44,"sum":168822,"residue":82}],"minimal_cycle":[82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[44,624],"circle_positions":590,"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":[45,625,1205],"clock_positions":[45,625,1205],"native_values":[410,115,115],"rotation_degrees":9.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[410,115,115],"beta":{"interval_sums":[172460,167740,168920],"interval_residues":[180,180,180],"display_cycle":[180,180,180],"intervals":[{"from_index":45,"to_index":625,"sum":172460,"residue":180},{"from_index":625,"to_index":1205,"sum":167740,"residue":180},{"from_index":1205,"to_index":45,"sum":168920,"residue":180}],"minimal_cycle":[180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[45,625],"circle_positions":590,"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":[46,626,1206],"clock_positions":[46,626,1206],"native_values":[33,33,328],"rotation_degrees":9.517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[33,33,328],"beta":{"interval_sums":[172542,167822,169002],"interval_residues":[262,262,262],"display_cycle":[262,262,262],"intervals":[{"from_index":46,"to_index":626,"sum":172542,"residue":262},{"from_index":626,"to_index":1206,"sum":167822,"residue":262},{"from_index":1206,"to_index":46,"sum":169002,"residue":262}],"minimal_cycle":[262],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":262,"start_interval_clock_positions":[46,626],"circle_positions":590,"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":[47,627,1207],"clock_positions":[47,627,1207],"native_values":[443,148,443],"rotation_degrees":9.724137931034482,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,148,443],"beta":{"interval_sums":[172132,168002,168592],"interval_residues":[442,442,442],"display_cycle":[442,442,442],"intervals":[{"from_index":47,"to_index":627,"sum":172132,"residue":442},{"from_index":627,"to_index":1207,"sum":168002,"residue":442},{"from_index":1207,"to_index":47,"sum":168592,"residue":442}],"minimal_cycle":[442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[47,627],"circle_positions":590,"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":[48,628,1208],"clock_positions":[48,628,1208],"native_values":[476,181,181],"rotation_degrees":9.931034482758621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[476,181,181],"beta":{"interval_sums":[171804,168264,168854],"interval_residues":[114,114,114],"display_cycle":[114,114,114],"intervals":[{"from_index":48,"to_index":628,"sum":171804,"residue":114},{"from_index":628,"to_index":1208,"sum":168264,"residue":114},{"from_index":1208,"to_index":48,"sum":168854,"residue":114}],"minimal_cycle":[114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[48,628],"circle_positions":590,"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":[49,629,1209],"clock_positions":[49,629,1209],"native_values":[329,329,34],"rotation_degrees":10.137931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[329,329,34],"beta":{"interval_sums":[171656,168116,169296],"interval_residues":[556,556,556],"display_cycle":[556,556,556],"intervals":[{"from_index":49,"to_index":629,"sum":171656,"residue":556},{"from_index":629,"to_index":1209,"sum":168116,"residue":556},{"from_index":1209,"to_index":49,"sum":169296,"residue":556}],"minimal_cycle":[556],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":556,"start_interval_clock_positions":[49,629],"circle_positions":590,"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":[50,630,1210],"clock_positions":[50,630,1210],"native_values":[215,510,215],"rotation_degrees":10.344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[215,510,215],"beta":{"interval_sums":[171770,167640,169410],"interval_residues":[80,80,80],"display_cycle":[80,80,80],"intervals":[{"from_index":50,"to_index":630,"sum":171770,"residue":80},{"from_index":630,"to_index":1210,"sum":167640,"residue":80},{"from_index":1210,"to_index":50,"sum":169410,"residue":80}],"minimal_cycle":[80],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[50,630],"circle_positions":590,"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":[51,631,1211],"clock_positions":[51,631,1211],"native_values":[544,249,249],"rotation_degrees":10.551724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[544,249,249],"beta":{"interval_sums":[171736,167606,169376],"interval_residues":[46,46,46],"display_cycle":[46,46,46],"intervals":[{"from_index":51,"to_index":631,"sum":171736,"residue":46},{"from_index":631,"to_index":1211,"sum":167606,"residue":46},{"from_index":1211,"to_index":51,"sum":169376,"residue":46}],"minimal_cycle":[46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[51,631],"circle_positions":590,"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":[52,632,1212],"clock_positions":[52,632,1212],"native_values":[169,169,464],"rotation_degrees":10.758620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,169,464],"beta":{"interval_sums":[171816,167686,169456],"interval_residues":[126,126,126],"display_cycle":[126,126,126],"intervals":[{"from_index":52,"to_index":632,"sum":171816,"residue":126},{"from_index":632,"to_index":1212,"sum":167686,"residue":126},{"from_index":1212,"to_index":52,"sum":169456,"residue":126}],"minimal_cycle":[126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[52,632],"circle_positions":590,"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":[53,633,1213],"clock_positions":[53,633,1213],"native_values":[123,418,123],"rotation_degrees":10.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,418,123],"beta":{"interval_sums":[171862,167732,169502],"interval_residues":[172,172,172],"display_cycle":[172,172,172],"intervals":[{"from_index":53,"to_index":633,"sum":171862,"residue":172},{"from_index":633,"to_index":1213,"sum":167732,"residue":172},{"from_index":1213,"to_index":53,"sum":169502,"residue":172}],"minimal_cycle":[172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":172,"start_interval_clock_positions":[53,633],"circle_positions":590,"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":[54,634,1214],"clock_positions":[54,634,1214],"native_values":[292,587,587],"rotation_degrees":11.172413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,587,587],"beta":{"interval_sums":[171988,167268,169038],"interval_residues":[298,298,298],"display_cycle":[298,298,298],"intervals":[{"from_index":54,"to_index":634,"sum":171988,"residue":298},{"from_index":634,"to_index":1214,"sum":167268,"residue":298},{"from_index":1214,"to_index":54,"sum":169038,"residue":298}],"minimal_cycle":[298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[54,634],"circle_positions":590,"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":[55,635,1215],"clock_positions":[55,635,1215],"native_values":[415,415,120],"rotation_degrees":11.379310344827585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[415,415,120],"beta":{"interval_sums":[172160,167440,169210],"interval_residues":[470,470,470],"display_cycle":[470,470,470],"intervals":[{"from_index":55,"to_index":635,"sum":172160,"residue":470},{"from_index":635,"to_index":1215,"sum":167440,"residue":470},{"from_index":1215,"to_index":55,"sum":169210,"residue":470}],"minimal_cycle":[470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[55,635],"circle_positions":590,"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":[56,636,1216],"clock_positions":[56,636,1216],"native_values":[117,412,117],"rotation_degrees":11.586206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,412,117],"beta":{"interval_sums":[172458,167148,169508],"interval_residues":[178,178,178],"display_cycle":[178,178,178],"intervals":[{"from_index":56,"to_index":636,"sum":172458,"residue":178},{"from_index":636,"to_index":1216,"sum":167148,"residue":178},{"from_index":1216,"to_index":56,"sum":169508,"residue":178}],"minimal_cycle":[178],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":178,"start_interval_clock_positions":[56,636],"circle_positions":590,"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":[57,637,1217],"clock_positions":[57,637,1217],"native_values":[532,237,237],"rotation_degrees":11.793103448275861,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[532,237,237],"beta":{"interval_sums":[172338,167028,169388],"interval_residues":[58,58,58],"display_cycle":[58,58,58],"intervals":[{"from_index":57,"to_index":637,"sum":172338,"residue":58},{"from_index":637,"to_index":1217,"sum":167028,"residue":58},{"from_index":1217,"to_index":57,"sum":169388,"residue":58}],"minimal_cycle":[58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[57,637],"circle_positions":590,"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":[58,638,1218],"clock_positions":[58,638,1218],"native_values":[59,59,354],"rotation_degrees":12.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[59,59,354],"beta":{"interval_sums":[172516,167206,169566],"interval_residues":[236,236,236],"display_cycle":[236,236,236],"intervals":[{"from_index":58,"to_index":638,"sum":172516,"residue":236},{"from_index":638,"to_index":1218,"sum":167206,"residue":236},{"from_index":1218,"to_index":58,"sum":169566,"residue":236}],"minimal_cycle":[236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[58,638],"circle_positions":590,"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":[59,639,1219],"clock_positions":[59,639,1219],"native_values":[1,296,1],"rotation_degrees":12.206896551724139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,296,1],"beta":{"interval_sums":[172574,167264,169624],"interval_residues":[294,294,294],"display_cycle":[294,294,294],"intervals":[{"from_index":59,"to_index":639,"sum":172574,"residue":294},{"from_index":639,"to_index":1219,"sum":167264,"residue":294},{"from_index":1219,"to_index":59,"sum":169624,"residue":294}],"minimal_cycle":[294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[59,639],"circle_positions":590,"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":[60,640,1220],"clock_positions":[60,640,1220],"native_values":[60,355,355],"rotation_degrees":12.413793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,355,355],"beta":{"interval_sums":[172810,166910,169270],"interval_residues":[530,530,530],"display_cycle":[530,530,530],"intervals":[{"from_index":60,"to_index":640,"sum":172810,"residue":530},{"from_index":640,"to_index":1220,"sum":166910,"residue":530},{"from_index":1220,"to_index":60,"sum":169270,"residue":530}],"minimal_cycle":[530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[60,640],"circle_positions":590,"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":[61,641,1221],"clock_positions":[61,641,1221],"native_values":[61,61,356],"rotation_degrees":12.620689655172415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,61,356],"beta":{"interval_sums":[173104,167204,168974],"interval_residues":[234,234,234],"display_cycle":[234,234,234],"intervals":[{"from_index":61,"to_index":641,"sum":173104,"residue":234},{"from_index":641,"to_index":1221,"sum":167204,"residue":234},{"from_index":1221,"to_index":61,"sum":168974,"residue":234}],"minimal_cycle":[234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[61,641],"circle_positions":590,"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":[62,642,1222],"clock_positions":[62,642,1222],"native_values":[121,416,121],"rotation_degrees":12.827586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[121,416,121],"beta":{"interval_sums":[173044,167144,168914],"interval_residues":[174,174,174],"display_cycle":[174,174,174],"intervals":[{"from_index":62,"to_index":642,"sum":173044,"residue":174},{"from_index":642,"to_index":1222,"sum":167144,"residue":174},{"from_index":1222,"to_index":62,"sum":168914,"residue":174}],"minimal_cycle":[174],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[62,642],"circle_positions":590,"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":[63,643,1223],"clock_positions":[63,643,1223],"native_values":[182,477,477],"rotation_degrees":13.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[182,477,477],"beta":{"interval_sums":[173278,166788,168558],"interval_residues":[408,408,408],"display_cycle":[408,408,408],"intervals":[{"from_index":63,"to_index":643,"sum":173278,"residue":408},{"from_index":643,"to_index":1223,"sum":166788,"residue":408},{"from_index":1223,"to_index":63,"sum":168558,"residue":408}],"minimal_cycle":[408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[63,643],"circle_positions":590,"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":[64,644,1224],"clock_positions":[64,644,1224],"native_values":[303,303,8],"rotation_degrees":13.241379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[303,303,8],"beta":{"interval_sums":[173452,166962,168732],"interval_residues":[582,582,582],"display_cycle":[582,582,582],"intervals":[{"from_index":64,"to_index":644,"sum":173452,"residue":582},{"from_index":644,"to_index":1224,"sum":166962,"residue":582},{"from_index":1224,"to_index":64,"sum":168732,"residue":582}],"minimal_cycle":[582],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":582,"start_interval_clock_positions":[64,644],"circle_positions":590,"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":[65,645,1225],"clock_positions":[65,645,1225],"native_values":[485,190,485],"rotation_degrees":13.448275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,190,485],"beta":{"interval_sums":[173270,166780,168550],"interval_residues":[400,400,400],"display_cycle":[400,400,400],"intervals":[{"from_index":65,"to_index":645,"sum":173270,"residue":400},{"from_index":645,"to_index":1225,"sum":166780,"residue":400},{"from_index":1225,"to_index":65,"sum":168550,"residue":400}],"minimal_cycle":[400],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":400,"start_interval_clock_positions":[65,645],"circle_positions":590,"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":[66,646,1226],"clock_positions":[66,646,1226],"native_values":[198,493,493],"rotation_degrees":13.655172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[198,493,493],"beta":{"interval_sums":[173262,166772,168542],"interval_residues":[392,392,392],"display_cycle":[392,392,392],"intervals":[{"from_index":66,"to_index":646,"sum":173262,"residue":392},{"from_index":646,"to_index":1226,"sum":166772,"residue":392},{"from_index":1226,"to_index":66,"sum":168542,"residue":392}],"minimal_cycle":[392],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[66,646],"circle_positions":590,"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":[67,647,1227],"clock_positions":[67,647,1227],"native_values":[93,93,388],"rotation_degrees":13.862068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,93,388],"beta":{"interval_sums":[173662,167172,168352],"interval_residues":[202,202,202],"display_cycle":[202,202,202],"intervals":[{"from_index":67,"to_index":647,"sum":173662,"residue":202},{"from_index":647,"to_index":1227,"sum":167172,"residue":202},{"from_index":1227,"to_index":67,"sum":168352,"residue":202}],"minimal_cycle":[202],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[67,647],"circle_positions":590,"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":[68,648,1228],"clock_positions":[68,648,1228],"native_values":[291,586,291],"rotation_degrees":14.068965517241379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,586,291],"beta":{"interval_sums":[173464,166974,168154],"interval_residues":[4,4,4],"display_cycle":[4,4,4],"intervals":[{"from_index":68,"to_index":648,"sum":173464,"residue":4},{"from_index":648,"to_index":1228,"sum":166974,"residue":4},{"from_index":1228,"to_index":68,"sum":168154,"residue":4}],"minimal_cycle":[4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[68,648],"circle_positions":590,"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":[69,649,1229],"clock_positions":[69,649,1229],"native_values":[384,89,89],"rotation_degrees":14.275862068965518,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[384,89,89],"beta":{"interval_sums":[173666,167176,168356],"interval_residues":[206,206,206],"display_cycle":[206,206,206],"intervals":[{"from_index":69,"to_index":649,"sum":173666,"residue":206},{"from_index":649,"to_index":1229,"sum":167176,"residue":206},{"from_index":1229,"to_index":69,"sum":168356,"residue":206}],"minimal_cycle":[206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[69,649],"circle_positions":590,"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":[70,650,1230],"clock_positions":[70,650,1230],"native_values":[85,85,380],"rotation_degrees":14.482758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,85,380],"beta":{"interval_sums":[173670,167180,168360],"interval_residues":[210,210,210],"display_cycle":[210,210,210],"intervals":[{"from_index":70,"to_index":650,"sum":173670,"residue":210},{"from_index":650,"to_index":1230,"sum":167180,"residue":210},{"from_index":1230,"to_index":70,"sum":168360,"residue":210}],"minimal_cycle":[210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[70,650],"circle_positions":590,"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":[71,651,1231],"clock_positions":[71,651,1231],"native_values":[469,174,469],"rotation_degrees":14.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,174,469],"beta":{"interval_sums":[173286,167386,167976],"interval_residues":[416,416,416],"display_cycle":[416,416,416],"intervals":[{"from_index":71,"to_index":651,"sum":173286,"residue":416},{"from_index":651,"to_index":1231,"sum":167386,"residue":416},{"from_index":1231,"to_index":71,"sum":167976,"residue":416}],"minimal_cycle":[416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[71,651],"circle_positions":590,"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":[72,652,1232],"clock_positions":[72,652,1232],"native_values":[554,259,259],"rotation_degrees":14.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[554,259,259],"beta":{"interval_sums":[172906,167596,168186],"interval_residues":[36,36,36],"display_cycle":[36,36,36],"intervals":[{"from_index":72,"to_index":652,"sum":172906,"residue":36},{"from_index":652,"to_index":1232,"sum":167596,"residue":36},{"from_index":1232,"to_index":72,"sum":168186,"residue":36}],"minimal_cycle":[36],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[72,652],"circle_positions":590,"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":[73,653,1233],"clock_positions":[73,653,1233],"native_values":[433,433,138],"rotation_degrees":15.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,433,138],"beta":{"interval_sums":[172732,167422,168602],"interval_residues":[452,452,452],"display_cycle":[452,452,452],"intervals":[{"from_index":73,"to_index":653,"sum":172732,"residue":452},{"from_index":653,"to_index":1233,"sum":167422,"residue":452},{"from_index":1233,"to_index":73,"sum":168602,"residue":452}],"minimal_cycle":[452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[73,653],"circle_positions":590,"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":[74,654,1234],"clock_positions":[74,654,1234],"native_values":[397,102,397],"rotation_degrees":15.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,102,397],"beta":{"interval_sums":[172768,167458,168638],"interval_residues":[488,488,488],"display_cycle":[488,488,488],"intervals":[{"from_index":74,"to_index":654,"sum":172768,"residue":488},{"from_index":654,"to_index":1234,"sum":167458,"residue":488},{"from_index":1234,"to_index":74,"sum":168638,"residue":488}],"minimal_cycle":[488],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":488,"start_interval_clock_positions":[74,654],"circle_positions":590,"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":[75,655,1235],"clock_positions":[75,655,1235],"native_values":[240,535,535],"rotation_degrees":15.517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[240,535,535],"beta":{"interval_sums":[172630,167320,168500],"interval_residues":[350,350,350],"display_cycle":[350,350,350],"intervals":[{"from_index":75,"to_index":655,"sum":172630,"residue":350},{"from_index":655,"to_index":1235,"sum":167320,"residue":350},{"from_index":1235,"to_index":75,"sum":168500,"residue":350}],"minimal_cycle":[350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[75,655],"circle_positions":590,"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":[76,656,1236],"clock_positions":[76,656,1236],"native_values":[47,47,342],"rotation_degrees":15.724137931034482,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,47,342],"beta":{"interval_sums":[173118,167808,168398],"interval_residues":[248,248,248],"display_cycle":[248,248,248],"intervals":[{"from_index":76,"to_index":656,"sum":173118,"residue":248},{"from_index":656,"to_index":1236,"sum":167808,"residue":248},{"from_index":1236,"to_index":76,"sum":168398,"residue":248}],"minimal_cycle":[248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[76,656],"circle_positions":590,"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":[77,657,1237],"clock_positions":[77,657,1237],"native_values":[287,582,287],"rotation_degrees":15.931034482758621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,582,287],"beta":{"interval_sums":[172878,167568,168158],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":77,"to_index":657,"sum":172878,"residue":8},{"from_index":657,"to_index":1237,"sum":167568,"residue":8},{"from_index":1237,"to_index":77,"sum":168158,"residue":8}],"minimal_cycle":[8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[77,657],"circle_positions":590,"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":[78,658,1238],"clock_positions":[78,658,1238],"native_values":[334,39,39],"rotation_degrees":16.137931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[334,39,39],"beta":{"interval_sums":[173126,167816,168406],"interval_residues":[256,256,256],"display_cycle":[256,256,256],"intervals":[{"from_index":78,"to_index":658,"sum":173126,"residue":256},{"from_index":658,"to_index":1238,"sum":167816,"residue":256},{"from_index":1238,"to_index":78,"sum":168406,"residue":256}],"minimal_cycle":[256],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":256,"start_interval_clock_positions":[78,658],"circle_positions":590,"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":[79,659,1239],"clock_positions":[79,659,1239],"native_values":[31,31,326],"rotation_degrees":16.344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,31,326],"beta":{"interval_sums":[173134,167824,168414],"interval_residues":[264,264,264],"display_cycle":[264,264,264],"intervals":[{"from_index":79,"to_index":659,"sum":173134,"residue":264},{"from_index":659,"to_index":1239,"sum":167824,"residue":264},{"from_index":1239,"to_index":79,"sum":168414,"residue":264}],"minimal_cycle":[264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":264,"start_interval_clock_positions":[79,659],"circle_positions":590,"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":[80,660,1240],"clock_positions":[80,660,1240],"native_values":[365,70,365],"rotation_degrees":16.551724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[365,70,365],"beta":{"interval_sums":[172800,168080,168080],"interval_residues":[520,520,520],"display_cycle":[520,520,520],"intervals":[{"from_index":80,"to_index":660,"sum":172800,"residue":520},{"from_index":660,"to_index":1240,"sum":168080,"residue":520},{"from_index":1240,"to_index":80,"sum":168080,"residue":520}],"minimal_cycle":[520],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":520,"start_interval_clock_positions":[80,660],"circle_positions":590,"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":[81,661,1241],"clock_positions":[81,661,1241],"native_values":[396,101,101],"rotation_degrees":16.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[396,101,101],"beta":{"interval_sums":[172474,168344,168344],"interval_residues":[194,194,194],"display_cycle":[194,194,194],"intervals":[{"from_index":81,"to_index":661,"sum":172474,"residue":194},{"from_index":661,"to_index":1241,"sum":168344,"residue":194},{"from_index":1241,"to_index":81,"sum":168344,"residue":194}],"minimal_cycle":[194],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[81,661],"circle_positions":590,"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":[82,662,1242],"clock_positions":[82,662,1242],"native_values":[171,171,466],"rotation_degrees":16.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,171,466],"beta":{"interval_sums":[172404,168274,168274],"interval_residues":[124,124,124],"display_cycle":[124,124,124],"intervals":[{"from_index":82,"to_index":662,"sum":172404,"residue":124},{"from_index":662,"to_index":1242,"sum":168274,"residue":124},{"from_index":1242,"to_index":82,"sum":168274,"residue":124}],"minimal_cycle":[124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[82,662],"circle_positions":590,"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":[83,663,1243],"clock_positions":[83,663,1243],"native_values":[567,272,567],"rotation_degrees":17.17241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,272,567],"beta":{"interval_sums":[172008,168468,167878],"interval_residues":[318,318,318],"display_cycle":[318,318,318],"intervals":[{"from_index":83,"to_index":663,"sum":172008,"residue":318},{"from_index":663,"to_index":1243,"sum":168468,"residue":318},{"from_index":1243,"to_index":83,"sum":167878,"residue":318}],"minimal_cycle":[318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":318,"start_interval_clock_positions":[83,663],"circle_positions":590,"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":[84,664,1244],"clock_positions":[84,664,1244],"native_values":[148,443,443],"rotation_degrees":17.379310344827587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[148,443,443],"beta":{"interval_sums":[172132,168592,168002],"interval_residues":[442,442,442],"display_cycle":[442,442,442],"intervals":[{"from_index":84,"to_index":664,"sum":172132,"residue":442},{"from_index":664,"to_index":1244,"sum":168592,"residue":442},{"from_index":1244,"to_index":84,"sum":168002,"residue":442}],"minimal_cycle":[442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[84,664],"circle_positions":590,"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":[85,665,1245],"clock_positions":[85,665,1245],"native_values":[125,125,420],"rotation_degrees":17.586206896551722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,125,420],"beta":{"interval_sums":[172450,168910,167730],"interval_residues":[170,170,170],"display_cycle":[170,170,170],"intervals":[{"from_index":85,"to_index":665,"sum":172450,"residue":170},{"from_index":665,"to_index":1245,"sum":168910,"residue":170},{"from_index":1245,"to_index":85,"sum":167730,"residue":170}],"minimal_cycle":[170],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[85,665],"circle_positions":590,"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":[86,666,1246],"clock_positions":[86,666,1246],"native_values":[273,568,273],"rotation_degrees":17.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[273,568,273],"beta":{"interval_sums":[172302,168762,167582],"interval_residues":[22,22,22],"display_cycle":[22,22,22],"intervals":[{"from_index":86,"to_index":666,"sum":172302,"residue":22},{"from_index":666,"to_index":1246,"sum":168762,"residue":22},{"from_index":1246,"to_index":86,"sum":167582,"residue":22}],"minimal_cycle":[22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":22,"start_interval_clock_positions":[86,666],"circle_positions":590,"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":[87,667,1247],"clock_positions":[87,667,1247],"native_values":[398,103,103],"rotation_degrees":18.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[398,103,103],"beta":{"interval_sums":[172472,168932,167752],"interval_residues":[192,192,192],"display_cycle":[192,192,192],"intervals":[{"from_index":87,"to_index":667,"sum":172472,"residue":192},{"from_index":667,"to_index":1247,"sum":168932,"residue":192},{"from_index":1247,"to_index":87,"sum":167752,"residue":192}],"minimal_cycle":[192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[87,667],"circle_positions":590,"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":[88,668,1248],"clock_positions":[88,668,1248],"native_values":[81,81,376],"rotation_degrees":18.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,81,376],"beta":{"interval_sums":[172494,168954,167774],"interval_residues":[214,214,214],"display_cycle":[214,214,214],"intervals":[{"from_index":88,"to_index":668,"sum":172494,"residue":214},{"from_index":668,"to_index":1248,"sum":168954,"residue":214},{"from_index":1248,"to_index":88,"sum":167774,"residue":214}],"minimal_cycle":[214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":214,"start_interval_clock_positions":[88,668],"circle_positions":590,"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":[89,669,1249],"clock_positions":[89,669,1249],"native_values":[479,184,479],"rotation_degrees":18.413793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[479,184,479],"beta":{"interval_sums":[172096,169146,167376],"interval_residues":[406,406,406],"display_cycle":[406,406,406],"intervals":[{"from_index":89,"to_index":669,"sum":172096,"residue":406},{"from_index":669,"to_index":1249,"sum":169146,"residue":406},{"from_index":1249,"to_index":89,"sum":167376,"residue":406}],"minimal_cycle":[406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[89,669],"circle_positions":590,"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":[90,670,1250],"clock_positions":[90,670,1250],"native_values":[560,265,265],"rotation_degrees":18.620689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[560,265,265],"beta":{"interval_sums":[171720,169360,167590],"interval_residues":[30,30,30],"display_cycle":[30,30,30],"intervals":[{"from_index":90,"to_index":670,"sum":171720,"residue":30},{"from_index":670,"to_index":1250,"sum":169360,"residue":30},{"from_index":1250,"to_index":90,"sum":167590,"residue":30}],"minimal_cycle":[30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[90,670],"circle_positions":590,"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":[91,671,1251],"clock_positions":[91,671,1251],"native_values":[449,449,154],"rotation_degrees":18.82758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,449,154],"beta":{"interval_sums":[171536,169176,167996],"interval_residues":[436,436,436],"display_cycle":[436,436,436],"intervals":[{"from_index":91,"to_index":671,"sum":171536,"residue":436},{"from_index":671,"to_index":1251,"sum":169176,"residue":436},{"from_index":1251,"to_index":91,"sum":167996,"residue":436}],"minimal_cycle":[436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[91,671],"circle_positions":590,"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":[92,672,1252],"clock_positions":[92,672,1252],"native_values":[419,124,419],"rotation_degrees":19.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[419,124,419],"beta":{"interval_sums":[171566,169206,168026],"interval_residues":[466,466,466],"display_cycle":[466,466,466],"intervals":[{"from_index":92,"to_index":672,"sum":171566,"residue":466},{"from_index":672,"to_index":1252,"sum":169206,"residue":466},{"from_index":1252,"to_index":92,"sum":168026,"residue":466}],"minimal_cycle":[466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[92,672],"circle_positions":590,"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":[93,673,1253],"clock_positions":[93,673,1253],"native_values":[278,573,573],"rotation_degrees":19.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,573,573],"beta":{"interval_sums":[171412,169052,167872],"interval_residues":[312,312,312],"display_cycle":[312,312,312],"intervals":[{"from_index":93,"to_index":673,"sum":171412,"residue":312},{"from_index":673,"to_index":1253,"sum":169052,"residue":312},{"from_index":1253,"to_index":93,"sum":167872,"residue":312}],"minimal_cycle":[312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[93,673],"circle_positions":590,"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":[94,674,1254],"clock_positions":[94,674,1254],"native_values":[107,107,402],"rotation_degrees":19.448275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[107,107,402],"beta":{"interval_sums":[171878,169518,167748],"interval_residues":[188,188,188],"display_cycle":[188,188,188],"intervals":[{"from_index":94,"to_index":674,"sum":171878,"residue":188},{"from_index":674,"to_index":1254,"sum":169518,"residue":188},{"from_index":1254,"to_index":94,"sum":167748,"residue":188}],"minimal_cycle":[188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[94,674],"circle_positions":590,"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":[95,675,1255],"clock_positions":[95,675,1255],"native_values":[385,90,385],"rotation_degrees":19.655172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[385,90,385],"beta":{"interval_sums":[171600,169830,167470],"interval_residues":[500,500,500],"display_cycle":[500,500,500],"intervals":[{"from_index":95,"to_index":675,"sum":171600,"residue":500},{"from_index":675,"to_index":1255,"sum":169830,"residue":500},{"from_index":1255,"to_index":95,"sum":167470,"residue":500}],"minimal_cycle":[500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[95,675],"circle_positions":590,"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":[96,676,1256],"clock_positions":[96,676,1256],"native_values":[492,197,197],"rotation_degrees":19.862068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,197,197],"beta":{"interval_sums":[171198,170018,167658],"interval_residues":[98,98,98],"display_cycle":[98,98,98],"intervals":[{"from_index":96,"to_index":676,"sum":171198,"residue":98},{"from_index":676,"to_index":1256,"sum":170018,"residue":98},{"from_index":1256,"to_index":96,"sum":167658,"residue":98}],"minimal_cycle":[98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":98,"start_interval_clock_positions":[96,676],"circle_positions":590,"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":[97,677,1257],"clock_positions":[97,677,1257],"native_values":[287,287,582],"rotation_degrees":20.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,287,582],"beta":{"interval_sums":[171108,169928,167568],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":97,"to_index":677,"sum":171108,"residue":8},{"from_index":677,"to_index":1257,"sum":169928,"residue":8},{"from_index":1257,"to_index":97,"sum":167568,"residue":8}],"minimal_cycle":[8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[97,677],"circle_positions":590,"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":[98,678,1258],"clock_positions":[98,678,1258],"native_values":[189,484,189],"rotation_degrees":20.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[189,484,189],"beta":{"interval_sums":[171206,170026,167666],"interval_residues":[106,106,106],"display_cycle":[106,106,106],"intervals":[{"from_index":98,"to_index":678,"sum":171206,"residue":106},{"from_index":678,"to_index":1258,"sum":170026,"residue":106},{"from_index":1258,"to_index":98,"sum":167666,"residue":106}],"minimal_cycle":[106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[98,678],"circle_positions":590,"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":[99,679,1259],"clock_positions":[99,679,1259],"native_values":[476,181,181],"rotation_degrees":20.482758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[476,181,181],"beta":{"interval_sums":[171214,170034,167674],"interval_residues":[114,114,114],"display_cycle":[114,114,114],"intervals":[{"from_index":99,"to_index":679,"sum":171214,"residue":114},{"from_index":679,"to_index":1259,"sum":170034,"residue":114},{"from_index":1259,"to_index":99,"sum":167674,"residue":114}],"minimal_cycle":[114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[99,679],"circle_positions":590,"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":[100,680,1260],"clock_positions":[100,680,1260],"native_values":[75,75,370],"rotation_degrees":20.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,75,370],"beta":{"interval_sums":[171320,170140,167780],"interval_residues":[220,220,220],"display_cycle":[220,220,220],"intervals":[{"from_index":100,"to_index":680,"sum":171320,"residue":220},{"from_index":680,"to_index":1260,"sum":170140,"residue":220},{"from_index":1260,"to_index":100,"sum":167780,"residue":220}],"minimal_cycle":[220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[100,680],"circle_positions":590,"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":[101,681,1261],"clock_positions":[101,681,1261],"native_values":[551,256,551],"rotation_degrees":20.896551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,256,551],"beta":{"interval_sums":[170844,170254,167304],"interval_residues":[334,334,334],"display_cycle":[334,334,334],"intervals":[{"from_index":101,"to_index":681,"sum":170844,"residue":334},{"from_index":681,"to_index":1261,"sum":170254,"residue":334},{"from_index":1261,"to_index":101,"sum":167304,"residue":334}],"minimal_cycle":[334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[101,681],"circle_positions":590,"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":[102,682,1262],"clock_positions":[102,682,1262],"native_values":[36,331,331],"rotation_degrees":21.103448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,331,331],"beta":{"interval_sums":[171064,170474,167524],"interval_residues":[554,554,554],"display_cycle":[554,554,554],"intervals":[{"from_index":102,"to_index":682,"sum":171064,"residue":554},{"from_index":682,"to_index":1262,"sum":170474,"residue":554},{"from_index":1262,"to_index":102,"sum":167524,"residue":554}],"minimal_cycle":[554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[102,682],"circle_positions":590,"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":[103,683,1263],"clock_positions":[103,683,1263],"native_values":[587,587,292],"rotation_degrees":21.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,587,292],"beta":{"interval_sums":[170808,170218,167268],"interval_residues":[298,298,298],"display_cycle":[298,298,298],"intervals":[{"from_index":103,"to_index":683,"sum":170808,"residue":298},{"from_index":683,"to_index":1263,"sum":170218,"residue":298},{"from_index":1263,"to_index":103,"sum":167268,"residue":298}],"minimal_cycle":[298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[103,683],"circle_positions":590,"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":[104,684,1264],"clock_positions":[104,684,1264],"native_values":[33,328,33],"rotation_degrees":21.517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[33,328,33],"beta":{"interval_sums":[171362,170182,167822],"interval_residues":[262,262,262],"display_cycle":[262,262,262],"intervals":[{"from_index":104,"to_index":684,"sum":171362,"residue":262},{"from_index":684,"to_index":1264,"sum":170182,"residue":262},{"from_index":1264,"to_index":104,"sum":167822,"residue":262}],"minimal_cycle":[262],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":262,"start_interval_clock_positions":[104,684],"circle_positions":590,"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":[105,685,1265],"clock_positions":[105,685,1265],"native_values":[30,325,325],"rotation_degrees":21.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[30,325,325],"beta":{"interval_sums":[171660,169890,167530],"interval_residues":[560,560,560],"display_cycle":[560,560,560],"intervals":[{"from_index":105,"to_index":685,"sum":171660,"residue":560},{"from_index":685,"to_index":1265,"sum":169890,"residue":560},{"from_index":1265,"to_index":105,"sum":167530,"residue":560}],"minimal_cycle":[560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":560,"start_interval_clock_positions":[105,685],"circle_positions":590,"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":[106,686,1266],"clock_positions":[106,686,1266],"native_values":[63,63,358],"rotation_degrees":21.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[63,63,358],"beta":{"interval_sums":[171922,170152,167202],"interval_residues":[232,232,232],"display_cycle":[232,232,232],"intervals":[{"from_index":106,"to_index":686,"sum":171922,"residue":232},{"from_index":686,"to_index":1266,"sum":170152,"residue":232},{"from_index":1266,"to_index":106,"sum":167202,"residue":232}],"minimal_cycle":[232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[106,686],"circle_positions":590,"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":[107,687,1267],"clock_positions":[107,687,1267],"native_values":[93,388,93],"rotation_degrees":22.137931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,388,93],"beta":{"interval_sums":[171892,170122,167172],"interval_residues":[202,202,202],"display_cycle":[202,202,202],"intervals":[{"from_index":107,"to_index":687,"sum":171892,"residue":202},{"from_index":687,"to_index":1267,"sum":170122,"residue":202},{"from_index":1267,"to_index":107,"sum":167172,"residue":202}],"minimal_cycle":[202],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[107,687],"circle_positions":590,"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":[108,688,1268],"clock_positions":[108,688,1268],"native_values":[156,451,451],"rotation_degrees":22.344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[156,451,451],"beta":{"interval_sums":[172124,169764,166814],"interval_residues":[434,434,434],"display_cycle":[434,434,434],"intervals":[{"from_index":108,"to_index":688,"sum":172124,"residue":434},{"from_index":688,"to_index":1268,"sum":169764,"residue":434},{"from_index":1268,"to_index":108,"sum":166814,"residue":434}],"minimal_cycle":[434],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[108,688],"circle_positions":590,"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":[109,689,1269],"clock_positions":[109,689,1269],"native_values":[249,249,544],"rotation_degrees":22.551724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,249,544],"beta":{"interval_sums":[172326,169966,166426],"interval_residues":[46,46,46],"display_cycle":[46,46,46],"intervals":[{"from_index":109,"to_index":689,"sum":172326,"residue":46},{"from_index":689,"to_index":1269,"sum":169966,"residue":46},{"from_index":1269,"to_index":109,"sum":166426,"residue":46}],"minimal_cycle":[46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[109,689],"circle_positions":590,"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":[110,690,1270],"clock_positions":[110,690,1270],"native_values":[405,110,405],"rotation_degrees":22.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,110,405],"beta":{"interval_sums":[172170,170400,166270],"interval_residues":[480,480,480],"display_cycle":[480,480,480],"intervals":[{"from_index":110,"to_index":690,"sum":172170,"residue":480},{"from_index":690,"to_index":1270,"sum":170400,"residue":480},{"from_index":1270,"to_index":110,"sum":166270,"residue":480}],"minimal_cycle":[480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[110,690],"circle_positions":590,"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":[111,691,1271],"clock_positions":[111,691,1271],"native_values":[64,359,359],"rotation_degrees":22.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[64,359,359],"beta":{"interval_sums":[172216,170446,166316],"interval_residues":[526,526,526],"display_cycle":[526,526,526],"intervals":[{"from_index":111,"to_index":691,"sum":172216,"residue":526},{"from_index":691,"to_index":1271,"sum":170446,"residue":526},{"from_index":1271,"to_index":111,"sum":166316,"residue":526}],"minimal_cycle":[526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":526,"start_interval_clock_positions":[111,691],"circle_positions":590,"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":[112,692,1272],"clock_positions":[112,692,1272],"native_values":[469,469,174],"rotation_degrees":23.17241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,469,174],"beta":{"interval_sums":[172106,170336,166206],"interval_residues":[416,416,416],"display_cycle":[416,416,416],"intervals":[{"from_index":112,"to_index":692,"sum":172106,"residue":416},{"from_index":692,"to_index":1272,"sum":170336,"residue":416},{"from_index":1272,"to_index":112,"sum":166206,"residue":416}],"minimal_cycle":[416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[112,692],"circle_positions":590,"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":[113,693,1273],"clock_positions":[113,693,1273],"native_values":[533,238,533],"rotation_degrees":23.379310344827587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[533,238,533],"beta":{"interval_sums":[172042,170272,166142],"interval_residues":[352,352,352],"display_cycle":[352,352,352],"intervals":[{"from_index":113,"to_index":693,"sum":172042,"residue":352},{"from_index":693,"to_index":1273,"sum":170272,"residue":352},{"from_index":1273,"to_index":113,"sum":166142,"residue":352}],"minimal_cycle":[352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[113,693],"circle_positions":590,"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":[114,694,1274],"clock_positions":[114,694,1274],"native_values":[412,117,117],"rotation_degrees":23.586206896551722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[412,117,117],"beta":{"interval_sums":[171868,170688,166558],"interval_residues":[178,178,178],"display_cycle":[178,178,178],"intervals":[{"from_index":114,"to_index":694,"sum":171868,"residue":178},{"from_index":694,"to_index":1274,"sum":170688,"residue":178},{"from_index":1274,"to_index":114,"sum":166558,"residue":178}],"minimal_cycle":[178],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":178,"start_interval_clock_positions":[114,694],"circle_positions":590,"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":[115,695,1275],"clock_positions":[115,695,1275],"native_values":[355,355,60],"rotation_degrees":23.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,355,60],"beta":{"interval_sums":[171630,170450,166910],"interval_residues":[530,530,530],"display_cycle":[530,530,530],"intervals":[{"from_index":115,"to_index":695,"sum":171630,"residue":530},{"from_index":695,"to_index":1275,"sum":170450,"residue":530},{"from_index":1275,"to_index":115,"sum":166910,"residue":530}],"minimal_cycle":[530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[115,695],"circle_positions":590,"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":[116,696,1276],"clock_positions":[116,696,1276],"native_values":[177,472,177],"rotation_degrees":24.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,472,177],"beta":{"interval_sums":[171808,170038,167088],"interval_residues":[118,118,118],"display_cycle":[118,118,118],"intervals":[{"from_index":116,"to_index":696,"sum":171808,"residue":118},{"from_index":696,"to_index":1276,"sum":170038,"residue":118},{"from_index":1276,"to_index":116,"sum":167088,"residue":118}],"minimal_cycle":[118],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":118,"start_interval_clock_positions":[116,696],"circle_positions":590,"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":[117,697,1277],"clock_positions":[117,697,1277],"native_values":[532,237,237],"rotation_degrees":24.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[532,237,237],"beta":{"interval_sums":[171748,169978,167028],"interval_residues":[58,58,58],"display_cycle":[58,58,58],"intervals":[{"from_index":117,"to_index":697,"sum":171748,"residue":58},{"from_index":697,"to_index":1277,"sum":169978,"residue":58},{"from_index":1277,"to_index":117,"sum":167028,"residue":58}],"minimal_cycle":[58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[117,697],"circle_positions":590,"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":[118,698,1278],"clock_positions":[118,698,1278],"native_values":[119,119,414],"rotation_degrees":24.413793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,119,414],"beta":{"interval_sums":[171866,170096,167146],"interval_residues":[176,176,176],"display_cycle":[176,176,176],"intervals":[{"from_index":118,"to_index":698,"sum":171866,"residue":176},{"from_index":698,"to_index":1278,"sum":170096,"residue":176},{"from_index":1278,"to_index":118,"sum":167146,"residue":176}],"minimal_cycle":[176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[118,698],"circle_positions":590,"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":[119,699,1279],"clock_positions":[119,699,1279],"native_values":[61,356,61],"rotation_degrees":24.620689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,356,61],"beta":{"interval_sums":[171924,170154,167204],"interval_residues":[234,234,234],"display_cycle":[234,234,234],"intervals":[{"from_index":119,"to_index":699,"sum":171924,"residue":234},{"from_index":699,"to_index":1279,"sum":170154,"residue":234},{"from_index":1279,"to_index":119,"sum":167204,"residue":234}],"minimal_cycle":[234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[119,699],"circle_positions":590,"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":[120,700,1280],"clock_positions":[120,700,1280],"native_values":[180,475,475],"rotation_degrees":24.82758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,475,475],"beta":{"interval_sums":[172100,169740,166790],"interval_residues":[410,410,410],"display_cycle":[410,410,410],"intervals":[{"from_index":120,"to_index":700,"sum":172100,"residue":410},{"from_index":700,"to_index":1280,"sum":169740,"residue":410},{"from_index":1280,"to_index":120,"sum":166790,"residue":410}],"minimal_cycle":[410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[120,700],"circle_positions":590,"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":[121,701,1281],"clock_positions":[121,701,1281],"native_values":[241,241,536],"rotation_degrees":25.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,241,536],"beta":{"interval_sums":[172334,169974,166434],"interval_residues":[54,54,54],"display_cycle":[54,54,54],"intervals":[{"from_index":121,"to_index":701,"sum":172334,"residue":54},{"from_index":701,"to_index":1281,"sum":169974,"residue":54},{"from_index":1281,"to_index":121,"sum":166434,"residue":54}],"minimal_cycle":[54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[121,701],"circle_positions":590,"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":[122,702,1282],"clock_positions":[122,702,1282],"native_values":[421,126,421],"rotation_degrees":25.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[421,126,421],"beta":{"interval_sums":[172154,170384,166254],"interval_residues":[464,464,464],"display_cycle":[464,464,464],"intervals":[{"from_index":122,"to_index":702,"sum":172154,"residue":464},{"from_index":702,"to_index":1282,"sum":170384,"residue":464},{"from_index":1282,"to_index":122,"sum":166254,"residue":464}],"minimal_cycle":[464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":464,"start_interval_clock_positions":[122,702],"circle_positions":590,"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":[123,703,1283],"clock_positions":[123,703,1283],"native_values":[72,367,367],"rotation_degrees":25.448275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[72,367,367],"beta":{"interval_sums":[172208,170438,166308],"interval_residues":[518,518,518],"display_cycle":[518,518,518],"intervals":[{"from_index":123,"to_index":703,"sum":172208,"residue":518},{"from_index":703,"to_index":1283,"sum":170438,"residue":518},{"from_index":1283,"to_index":123,"sum":166308,"residue":518}],"minimal_cycle":[518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[123,703],"circle_positions":590,"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":[124,704,1284],"clock_positions":[124,704,1284],"native_values":[493,493,198],"rotation_degrees":25.655172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[493,493,198],"beta":{"interval_sums":[172082,170312,166182],"interval_residues":[392,392,392],"display_cycle":[392,392,392],"intervals":[{"from_index":124,"to_index":704,"sum":172082,"residue":392},{"from_index":704,"to_index":1284,"sum":170312,"residue":392},{"from_index":1284,"to_index":124,"sum":166182,"residue":392}],"minimal_cycle":[392],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[124,704],"circle_positions":590,"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":[125,705,1285],"clock_positions":[125,705,1285],"native_values":[565,270,565],"rotation_degrees":25.862068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,270,565],"beta":{"interval_sums":[172010,170240,166110],"interval_residues":[320,320,320],"display_cycle":[320,320,320],"intervals":[{"from_index":125,"to_index":705,"sum":172010,"residue":320},{"from_index":705,"to_index":1285,"sum":170240,"residue":320},{"from_index":1285,"to_index":125,"sum":166110,"residue":320}],"minimal_cycle":[320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[125,705],"circle_positions":590,"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":[126,706,1286],"clock_positions":[126,706,1286],"native_values":[468,173,173],"rotation_degrees":26.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[468,173,173],"beta":{"interval_sums":[171812,170632,166502],"interval_residues":[122,122,122],"display_cycle":[122,122,122],"intervals":[{"from_index":126,"to_index":706,"sum":171812,"residue":122},{"from_index":706,"to_index":1286,"sum":170632,"residue":122},{"from_index":1286,"to_index":126,"sum":166502,"residue":122}],"minimal_cycle":[122],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[126,706],"circle_positions":590,"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":[127,707,1287],"clock_positions":[127,707,1287],"native_values":[443,443,148],"rotation_degrees":26.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,443,148],"beta":{"interval_sums":[171542,170362,166822],"interval_residues":[442,442,442],"display_cycle":[442,442,442],"intervals":[{"from_index":127,"to_index":707,"sum":171542,"residue":442},{"from_index":707,"to_index":1287,"sum":170362,"residue":442},{"from_index":1287,"to_index":127,"sum":166822,"residue":442}],"minimal_cycle":[442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[127,707],"circle_positions":590,"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":[128,708,1288],"clock_positions":[128,708,1288],"native_values":[321,26,321],"rotation_degrees":26.482758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[321,26,321],"beta":{"interval_sums":[171664,170484,166944],"interval_residues":[564,564,564],"display_cycle":[564,564,564],"intervals":[{"from_index":128,"to_index":708,"sum":171664,"residue":564},{"from_index":708,"to_index":1288,"sum":170484,"residue":564},{"from_index":1288,"to_index":128,"sum":166944,"residue":564}],"minimal_cycle":[564],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":564,"start_interval_clock_positions":[128,708],"circle_positions":590,"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":[129,709,1289],"clock_positions":[129,709,1289],"native_values":[174,469,469],"rotation_degrees":26.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[174,469,469],"beta":{"interval_sums":[171516,170336,166796],"interval_residues":[416,416,416],"display_cycle":[416,416,416],"intervals":[{"from_index":129,"to_index":709,"sum":171516,"residue":416},{"from_index":709,"to_index":1289,"sum":170336,"residue":416},{"from_index":1289,"to_index":129,"sum":166796,"residue":416}],"minimal_cycle":[416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[129,709],"circle_positions":590,"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":[130,710,1290],"clock_positions":[130,710,1290],"native_values":[495,495,200],"rotation_degrees":26.896551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[495,495,200],"beta":{"interval_sums":[171490,170310,166770],"interval_residues":[390,390,390],"display_cycle":[390,390,390],"intervals":[{"from_index":130,"to_index":710,"sum":171490,"residue":390},{"from_index":710,"to_index":1290,"sum":170310,"residue":390},{"from_index":1290,"to_index":130,"sum":166770,"residue":390}],"minimal_cycle":[390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":390,"start_interval_clock_positions":[130,710],"circle_positions":590,"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":[131,711,1291],"clock_positions":[131,711,1291],"native_values":[79,374,79],"rotation_degrees":27.103448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,374,79],"beta":{"interval_sums":[171906,170136,167186],"interval_residues":[216,216,216],"display_cycle":[216,216,216],"intervals":[{"from_index":131,"to_index":711,"sum":171906,"residue":216},{"from_index":711,"to_index":1291,"sum":170136,"residue":216},{"from_index":1291,"to_index":131,"sum":167186,"residue":216}],"minimal_cycle":[216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[131,711],"circle_positions":590,"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":[132,712,1292],"clock_positions":[132,712,1292],"native_values":[574,279,279],"rotation_degrees":27.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[574,279,279],"beta":{"interval_sums":[171706,169936,166986],"interval_residues":[16,16,16],"display_cycle":[16,16,16],"intervals":[{"from_index":132,"to_index":712,"sum":171706,"residue":16},{"from_index":712,"to_index":1292,"sum":169936,"residue":16},{"from_index":1292,"to_index":132,"sum":166986,"residue":16}],"minimal_cycle":[16],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[132,712],"circle_positions":590,"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":[133,713,1293],"clock_positions":[133,713,1293],"native_values":[63,63,358],"rotation_degrees":27.517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[63,63,358],"beta":{"interval_sums":[171922,170152,167202],"interval_residues":[232,232,232],"display_cycle":[232,232,232],"intervals":[{"from_index":133,"to_index":713,"sum":171922,"residue":232},{"from_index":713,"to_index":1293,"sum":170152,"residue":232},{"from_index":1293,"to_index":133,"sum":167202,"residue":232}],"minimal_cycle":[232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[133,713],"circle_positions":590,"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":[134,714,1294],"clock_positions":[134,714,1294],"native_values":[47,342,47],"rotation_degrees":27.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,342,47],"beta":{"interval_sums":[171938,170168,167218],"interval_residues":[248,248,248],"display_cycle":[248,248,248],"intervals":[{"from_index":134,"to_index":714,"sum":171938,"residue":248},{"from_index":714,"to_index":1294,"sum":170168,"residue":248},{"from_index":1294,"to_index":134,"sum":167218,"residue":248}],"minimal_cycle":[248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[134,714],"circle_positions":590,"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":[135,715,1295],"clock_positions":[135,715,1295],"native_values":[110,405,405],"rotation_degrees":27.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[110,405,405],"beta":{"interval_sums":[172170,169810,166860],"interval_residues":[480,480,480],"display_cycle":[480,480,480],"intervals":[{"from_index":135,"to_index":715,"sum":172170,"residue":480},{"from_index":715,"to_index":1295,"sum":169810,"residue":480},{"from_index":1295,"to_index":135,"sum":166860,"residue":480}],"minimal_cycle":[480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[135,715],"circle_positions":590,"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":[136,716,1296],"clock_positions":[136,716,1296],"native_values":[157,157,452],"rotation_degrees":28.137931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,157,452],"beta":{"interval_sums":[172418,170058,166518],"interval_residues":[138,138,138],"display_cycle":[138,138,138],"intervals":[{"from_index":136,"to_index":716,"sum":172418,"residue":138},{"from_index":716,"to_index":1296,"sum":170058,"residue":138},{"from_index":1296,"to_index":136,"sum":166518,"residue":138}],"minimal_cycle":[138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[136,716],"circle_positions":590,"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":[137,717,1297],"clock_positions":[137,717,1297],"native_values":[267,562,267],"rotation_degrees":28.344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[267,562,267],"beta":{"interval_sums":[172308,169948,166408],"interval_residues":[28,28,28],"display_cycle":[28,28,28],"intervals":[{"from_index":137,"to_index":717,"sum":172308,"residue":28},{"from_index":717,"to_index":1297,"sum":169948,"residue":28},{"from_index":1297,"to_index":137,"sum":166408,"residue":28}],"minimal_cycle":[28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[137,717],"circle_positions":590,"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":[138,718,1298],"clock_positions":[138,718,1298],"native_values":[424,129,129],"rotation_degrees":28.551724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[424,129,129],"beta":{"interval_sums":[172446,170086,166546],"interval_residues":[166,166,166],"display_cycle":[166,166,166],"intervals":[{"from_index":138,"to_index":718,"sum":172446,"residue":166},{"from_index":718,"to_index":1298,"sum":170086,"residue":166},{"from_index":1298,"to_index":138,"sum":166546,"residue":166}],"minimal_cycle":[166],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":166,"start_interval_clock_positions":[138,718],"circle_positions":590,"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":[139,719,1299],"clock_positions":[139,719,1299],"native_values":[101,101,396],"rotation_degrees":28.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,101,396],"beta":{"interval_sums":[172474,170114,166574],"interval_residues":[194,194,194],"display_cycle":[194,194,194],"intervals":[{"from_index":139,"to_index":719,"sum":172474,"residue":194},{"from_index":719,"to_index":1299,"sum":170114,"residue":194},{"from_index":1299,"to_index":139,"sum":166574,"residue":194}],"minimal_cycle":[194],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[139,719],"circle_positions":590,"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":[140,720,1300],"clock_positions":[140,720,1300],"native_values":[525,230,525],"rotation_degrees":28.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[525,230,525],"beta":{"interval_sums":[172050,170280,166150],"interval_residues":[360,360,360],"display_cycle":[360,360,360],"intervals":[{"from_index":140,"to_index":720,"sum":172050,"residue":360},{"from_index":720,"to_index":1300,"sum":170280,"residue":360},{"from_index":1300,"to_index":140,"sum":166150,"residue":360}],"minimal_cycle":[360],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":360,"start_interval_clock_positions":[140,720],"circle_positions":590,"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":[141,721,1301],"clock_positions":[141,721,1301],"native_values":[36,331,331],"rotation_degrees":29.17241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,331,331],"beta":{"interval_sums":[172244,170474,166344],"interval_residues":[554,554,554],"display_cycle":[554,554,554],"intervals":[{"from_index":141,"to_index":721,"sum":172244,"residue":554},{"from_index":721,"to_index":1301,"sum":170474,"residue":554},{"from_index":1301,"to_index":141,"sum":166344,"residue":554}],"minimal_cycle":[554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[141,721],"circle_positions":590,"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":[142,722,1302],"clock_positions":[142,722,1302],"native_values":[561,561,266],"rotation_degrees":29.379310344827587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,561,266],"beta":{"interval_sums":[172014,170244,166114],"interval_residues":[324,324,324],"display_cycle":[324,324,324],"intervals":[{"from_index":142,"to_index":722,"sum":172014,"residue":324},{"from_index":722,"to_index":1302,"sum":170244,"residue":324},{"from_index":1302,"to_index":142,"sum":166114,"residue":324}],"minimal_cycle":[324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[142,722],"circle_positions":590,"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":[143,723,1303],"clock_positions":[143,723,1303],"native_values":[7,302,7],"rotation_degrees":29.586206896551722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[7,302,7],"beta":{"interval_sums":[172568,170208,166668],"interval_residues":[288,288,288],"display_cycle":[288,288,288],"intervals":[{"from_index":143,"to_index":723,"sum":172568,"residue":288},{"from_index":723,"to_index":1303,"sum":170208,"residue":288},{"from_index":1303,"to_index":143,"sum":166668,"residue":288}],"minimal_cycle":[288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[143,723],"circle_positions":590,"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":[144,724,1304],"clock_positions":[144,724,1304],"native_values":[568,273,273],"rotation_degrees":29.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[568,273,273],"beta":{"interval_sums":[172302,169942,166402],"interval_residues":[22,22,22],"display_cycle":[22,22,22],"intervals":[{"from_index":144,"to_index":724,"sum":172302,"residue":22},{"from_index":724,"to_index":1304,"sum":169942,"residue":22},{"from_index":1304,"to_index":144,"sum":166402,"residue":22}],"minimal_cycle":[22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":22,"start_interval_clock_positions":[144,724],"circle_positions":590,"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":[145,725,1305],"clock_positions":[145,725,1305],"native_values":[575,575,280],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[575,575,280],"beta":{"interval_sums":[172000,169640,166690],"interval_residues":[310,310,310],"display_cycle":[310,310,310],"intervals":[{"from_index":145,"to_index":725,"sum":172000,"residue":310},{"from_index":725,"to_index":1305,"sum":169640,"residue":310},{"from_index":1305,"to_index":145,"sum":166690,"residue":310}],"minimal_cycle":[310],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":310,"start_interval_clock_positions":[145,725],"circle_positions":590,"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":[146,726,1306],"clock_positions":[146,726,1306],"native_values":[553,258,553],"rotation_degrees":30.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[553,258,553],"beta":{"interval_sums":[172022,169662,166712],"interval_residues":[332,332,332],"display_cycle":[332,332,332],"intervals":[{"from_index":146,"to_index":726,"sum":172022,"residue":332},{"from_index":726,"to_index":1306,"sum":169662,"residue":332},{"from_index":1306,"to_index":146,"sum":166712,"residue":332}],"minimal_cycle":[332],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[146,726],"circle_positions":590,"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":[147,727,1307],"clock_positions":[147,727,1307],"native_values":[538,243,243],"rotation_degrees":30.413793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[538,243,243],"beta":{"interval_sums":[171742,169972,167022],"interval_residues":[52,52,52],"display_cycle":[52,52,52],"intervals":[{"from_index":147,"to_index":727,"sum":171742,"residue":52},{"from_index":727,"to_index":1307,"sum":169972,"residue":52},{"from_index":1307,"to_index":147,"sum":167022,"residue":52}],"minimal_cycle":[52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[147,727],"circle_positions":590,"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":[148,728,1308],"clock_positions":[148,728,1308],"native_values":[501,501,206],"rotation_degrees":30.620689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[501,501,206],"beta":{"interval_sums":[171484,169714,167354],"interval_residues":[384,384,384],"display_cycle":[384,384,384],"intervals":[{"from_index":148,"to_index":728,"sum":171484,"residue":384},{"from_index":728,"to_index":1308,"sum":169714,"residue":384},{"from_index":1308,"to_index":148,"sum":167354,"residue":384}],"minimal_cycle":[384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[148,728],"circle_positions":590,"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":[149,729,1309],"clock_positions":[149,729,1309],"native_values":[449,154,449],"rotation_degrees":30.82758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,154,449],"beta":{"interval_sums":[171536,169766,167406],"interval_residues":[436,436,436],"display_cycle":[436,436,436],"intervals":[{"from_index":149,"to_index":729,"sum":171536,"residue":436},{"from_index":729,"to_index":1309,"sum":169766,"residue":436},{"from_index":1309,"to_index":149,"sum":167406,"residue":436}],"minimal_cycle":[436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[149,729],"circle_positions":590,"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":[150,730,1310],"clock_positions":[150,730,1310],"native_values":[360,65,65],"rotation_degrees":31.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[360,65,65],"beta":{"interval_sums":[171330,170150,167790],"interval_residues":[230,230,230],"display_cycle":[230,230,230],"intervals":[{"from_index":150,"to_index":730,"sum":171330,"residue":230},{"from_index":730,"to_index":1310,"sum":170150,"residue":230},{"from_index":1310,"to_index":150,"sum":167790,"residue":230}],"minimal_cycle":[230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[150,730],"circle_positions":590,"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":[151,731,1311],"clock_positions":[151,731,1311],"native_values":[219,219,514],"rotation_degrees":31.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,219,514],"beta":{"interval_sums":[171176,169996,167636],"interval_residues":[76,76,76],"display_cycle":[76,76,76],"intervals":[{"from_index":151,"to_index":731,"sum":171176,"residue":76},{"from_index":731,"to_index":1311,"sum":169996,"residue":76},{"from_index":1311,"to_index":151,"sum":167636,"residue":76}],"minimal_cycle":[76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[151,731],"circle_positions":590,"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":[152,732,1312],"clock_positions":[152,732,1312],"native_values":[579,284,579],"rotation_degrees":31.448275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[579,284,579],"beta":{"interval_sums":[170816,170226,167276],"interval_residues":[306,306,306],"display_cycle":[306,306,306],"intervals":[{"from_index":152,"to_index":732,"sum":170816,"residue":306},{"from_index":732,"to_index":1312,"sum":170226,"residue":306},{"from_index":1312,"to_index":152,"sum":167276,"residue":306}],"minimal_cycle":[306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[152,732],"circle_positions":590,"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":[153,733,1313],"clock_positions":[153,733,1313],"native_values":[208,503,503],"rotation_degrees":31.655172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[208,503,503],"beta":{"interval_sums":[170892,170302,167352],"interval_residues":[382,382,382],"display_cycle":[382,382,382],"intervals":[{"from_index":153,"to_index":733,"sum":170892,"residue":382},{"from_index":733,"to_index":1313,"sum":170302,"residue":382},{"from_index":1313,"to_index":153,"sum":167352,"residue":382}],"minimal_cycle":[382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[153,733],"circle_positions":590,"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":[154,734,1314],"clock_positions":[154,734,1314],"native_values":[197,197,492],"rotation_degrees":31.862068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,197,492],"beta":{"interval_sums":[171198,170608,167068],"interval_residues":[98,98,98],"display_cycle":[98,98,98],"intervals":[{"from_index":154,"to_index":734,"sum":171198,"residue":98},{"from_index":734,"to_index":1314,"sum":170608,"residue":98},{"from_index":1314,"to_index":154,"sum":167068,"residue":98}],"minimal_cycle":[98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":98,"start_interval_clock_positions":[154,734],"circle_positions":590,"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":[155,735,1315],"clock_positions":[155,735,1315],"native_values":[405,110,405],"rotation_degrees":32.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,110,405],"beta":{"interval_sums":[170990,170990,166860],"interval_residues":[480,480,480],"display_cycle":[480,480,480],"intervals":[{"from_index":155,"to_index":735,"sum":170990,"residue":480},{"from_index":735,"to_index":1315,"sum":170990,"residue":480},{"from_index":1315,"to_index":155,"sum":166860,"residue":480}],"minimal_cycle":[480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[155,735],"circle_positions":590,"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":[156,736,1316],"clock_positions":[156,736,1316],"native_values":[12,307,307],"rotation_degrees":32.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[12,307,307],"beta":{"interval_sums":[171088,171088,166958],"interval_residues":[578,578,578],"display_cycle":[578,578,578],"intervals":[{"from_index":156,"to_index":736,"sum":171088,"residue":578},{"from_index":736,"to_index":1316,"sum":171088,"residue":578},{"from_index":1316,"to_index":156,"sum":166958,"residue":578}],"minimal_cycle":[578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[156,736],"circle_positions":590,"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":[157,737,1317],"clock_positions":[157,737,1317],"native_values":[417,417,122],"rotation_degrees":32.48275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,417,122],"beta":{"interval_sums":[170978,170978,166848],"interval_residues":[468,468,468],"display_cycle":[468,468,468],"intervals":[{"from_index":157,"to_index":737,"sum":170978,"residue":468},{"from_index":737,"to_index":1317,"sum":170978,"residue":468},{"from_index":1317,"to_index":157,"sum":166848,"residue":468}],"minimal_cycle":[468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[157,737],"circle_positions":590,"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":[158,738,1318],"clock_positions":[158,738,1318],"native_values":[429,134,429],"rotation_degrees":32.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,134,429],"beta":{"interval_sums":[170966,170966,166836],"interval_residues":[456,456,456],"display_cycle":[456,456,456],"intervals":[{"from_index":158,"to_index":738,"sum":170966,"residue":456},{"from_index":738,"to_index":1318,"sum":170966,"residue":456},{"from_index":1318,"to_index":158,"sum":166836,"residue":456}],"minimal_cycle":[456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[158,738],"circle_positions":590,"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":[159,739,1319],"clock_positions":[159,739,1319],"native_values":[256,551,551],"rotation_degrees":32.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[256,551,551],"beta":{"interval_sums":[170844,170844,166714],"interval_residues":[334,334,334],"display_cycle":[334,334,334],"intervals":[{"from_index":159,"to_index":739,"sum":170844,"residue":334},{"from_index":739,"to_index":1319,"sum":170844,"residue":334},{"from_index":1319,"to_index":159,"sum":166714,"residue":334}],"minimal_cycle":[334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[159,739],"circle_positions":590,"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":[160,740,1320],"clock_positions":[160,740,1320],"native_values":[95,95,390],"rotation_degrees":33.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,95,390],"beta":{"interval_sums":[171300,171300,166580],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":160,"to_index":740,"sum":171300,"residue":200},{"from_index":740,"to_index":1320,"sum":171300,"residue":200},{"from_index":1320,"to_index":160,"sum":166580,"residue":200}],"minimal_cycle":[200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[160,740],"circle_positions":590,"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":[161,741,1321],"clock_positions":[161,741,1321],"native_values":[351,56,351],"rotation_degrees":33.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,56,351],"beta":{"interval_sums":[171044,171634,166324],"interval_residues":[534,534,534],"display_cycle":[534,534,534],"intervals":[{"from_index":161,"to_index":741,"sum":171044,"residue":534},{"from_index":741,"to_index":1321,"sum":171634,"residue":534},{"from_index":1321,"to_index":161,"sum":166324,"residue":534}],"minimal_cycle":[534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[161,741],"circle_positions":590,"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":[162,742,1322],"clock_positions":[162,742,1322],"native_values":[446,151,151],"rotation_degrees":33.51724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[446,151,151],"beta":{"interval_sums":[170654,171834,166524],"interval_residues":[144,144,144],"display_cycle":[144,144,144],"intervals":[{"from_index":162,"to_index":742,"sum":170654,"residue":144},{"from_index":742,"to_index":1322,"sum":171834,"residue":144},{"from_index":1322,"to_index":162,"sum":166524,"residue":144}],"minimal_cycle":[144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[162,742],"circle_positions":590,"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":[163,743,1323],"clock_positions":[163,743,1323],"native_values":[207,207,502],"rotation_degrees":33.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[207,207,502],"beta":{"interval_sums":[170598,171778,166468],"interval_residues":[88,88,88],"display_cycle":[88,88,88],"intervals":[{"from_index":163,"to_index":743,"sum":170598,"residue":88},{"from_index":743,"to_index":1323,"sum":171778,"residue":88},{"from_index":1323,"to_index":163,"sum":166468,"residue":88}],"minimal_cycle":[88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[163,743],"circle_positions":590,"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":[164,744,1324],"clock_positions":[164,744,1324],"native_values":[63,358,63],"rotation_degrees":33.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[63,358,63],"beta":{"interval_sums":[170742,171922,166612],"interval_residues":[232,232,232],"display_cycle":[232,232,232],"intervals":[{"from_index":164,"to_index":744,"sum":170742,"residue":232},{"from_index":744,"to_index":1324,"sum":171922,"residue":232},{"from_index":1324,"to_index":164,"sum":166612,"residue":232}],"minimal_cycle":[232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[164,744],"circle_positions":590,"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":[165,745,1325],"clock_positions":[165,745,1325],"native_values":[270,565,565],"rotation_degrees":34.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[270,565,565],"beta":{"interval_sums":[170830,171420,166110],"interval_residues":[320,320,320],"display_cycle":[320,320,320],"intervals":[{"from_index":165,"to_index":745,"sum":170830,"residue":320},{"from_index":745,"to_index":1325,"sum":171420,"residue":320},{"from_index":1325,"to_index":165,"sum":166110,"residue":320}],"minimal_cycle":[320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[165,745],"circle_positions":590,"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":[166,746,1326],"clock_positions":[166,746,1326],"native_values":[333,333,38],"rotation_degrees":34.3448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,333,38],"beta":{"interval_sums":[171062,171652,166342],"interval_residues":[552,552,552],"display_cycle":[552,552,552],"intervals":[{"from_index":166,"to_index":746,"sum":171062,"residue":552},{"from_index":746,"to_index":1326,"sum":171652,"residue":552},{"from_index":1326,"to_index":166,"sum":166342,"residue":552}],"minimal_cycle":[552],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[166,746],"circle_positions":590,"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":[167,747,1327],"clock_positions":[167,747,1327],"native_values":[13,308,13],"rotation_degrees":34.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,308,13],"beta":{"interval_sums":[171382,171382,166662],"interval_residues":[282,282,282],"display_cycle":[282,282,282],"intervals":[{"from_index":167,"to_index":747,"sum":171382,"residue":282},{"from_index":747,"to_index":1327,"sum":171382,"residue":282},{"from_index":1327,"to_index":167,"sum":166662,"residue":282}],"minimal_cycle":[282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":282,"start_interval_clock_positions":[167,747],"circle_positions":590,"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":[168,748,1328],"clock_positions":[168,748,1328],"native_values":[346,51,51],"rotation_degrees":34.758620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[346,51,51],"beta":{"interval_sums":[171344,171344,166624],"interval_residues":[244,244,244],"display_cycle":[244,244,244],"intervals":[{"from_index":168,"to_index":748,"sum":171344,"residue":244},{"from_index":748,"to_index":1328,"sum":171344,"residue":244},{"from_index":1328,"to_index":168,"sum":166624,"residue":244}],"minimal_cycle":[244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[168,748],"circle_positions":590,"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":[169,749,1329],"clock_positions":[169,749,1329],"native_values":[359,359,64],"rotation_degrees":34.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,359,64],"beta":{"interval_sums":[171036,171036,166906],"interval_residues":[526,526,526],"display_cycle":[526,526,526],"intervals":[{"from_index":169,"to_index":749,"sum":171036,"residue":526},{"from_index":749,"to_index":1329,"sum":171036,"residue":526},{"from_index":1329,"to_index":169,"sum":166906,"residue":526}],"minimal_cycle":[526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":526,"start_interval_clock_positions":[169,749],"circle_positions":590,"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":[170,750,1330],"clock_positions":[170,750,1330],"native_values":[115,410,115],"rotation_degrees":35.172413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,410,115],"beta":{"interval_sums":[171280,170690,167150],"interval_residues":[180,180,180],"display_cycle":[180,180,180],"intervals":[{"from_index":170,"to_index":750,"sum":171280,"residue":180},{"from_index":750,"to_index":1330,"sum":170690,"residue":180},{"from_index":1330,"to_index":170,"sum":167150,"residue":180}],"minimal_cycle":[180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[170,750],"circle_positions":590,"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":[171,751,1331],"clock_positions":[171,751,1331],"native_values":[474,179,179],"rotation_degrees":35.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[474,179,179],"beta":{"interval_sums":[171216,170626,167086],"interval_residues":[116,116,116],"display_cycle":[116,116,116],"intervals":[{"from_index":171,"to_index":751,"sum":171216,"residue":116},{"from_index":751,"to_index":1331,"sum":170626,"residue":116},{"from_index":1331,"to_index":171,"sum":167086,"residue":116}],"minimal_cycle":[116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[171,751],"circle_positions":590,"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":[172,752,1332],"clock_positions":[172,752,1332],"native_values":[589,589,294],"rotation_degrees":35.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[589,589,294],"beta":{"interval_sums":[170806,170216,167266],"interval_residues":[296,296,296],"display_cycle":[296,296,296],"intervals":[{"from_index":172,"to_index":752,"sum":170806,"residue":296},{"from_index":752,"to_index":1332,"sum":170216,"residue":296},{"from_index":1332,"to_index":172,"sum":167266,"residue":296}],"minimal_cycle":[296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[172,752],"circle_positions":590,"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":[173,753,1333],"clock_positions":[173,753,1333],"native_values":[473,178,473],"rotation_degrees":35.793103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,178,473],"beta":{"interval_sums":[170922,170332,167382],"interval_residues":[412,412,412],"display_cycle":[412,412,412],"intervals":[{"from_index":173,"to_index":753,"sum":170922,"residue":412},{"from_index":753,"to_index":1333,"sum":170332,"residue":412},{"from_index":1333,"to_index":173,"sum":167382,"residue":412}],"minimal_cycle":[412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[173,753],"circle_positions":590,"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":[174,754,1334],"clock_positions":[174,754,1334],"native_values":[472,177,177],"rotation_degrees":36.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[472,177,177],"beta":{"interval_sums":[170628,170628,167678],"interval_residues":[118,118,118],"display_cycle":[118,118,118],"intervals":[{"from_index":174,"to_index":754,"sum":170628,"residue":118},{"from_index":754,"to_index":1334,"sum":170628,"residue":118},{"from_index":1334,"to_index":174,"sum":167678,"residue":118}],"minimal_cycle":[118],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":118,"start_interval_clock_positions":[174,754],"circle_positions":590,"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":[175,755,1335],"clock_positions":[175,755,1335],"native_values":[355,355,60],"rotation_degrees":36.206896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,355,60],"beta":{"interval_sums":[170450,170450,168090],"interval_residues":[530,530,530],"display_cycle":[530,530,530],"intervals":[{"from_index":175,"to_index":755,"sum":170450,"residue":530},{"from_index":755,"to_index":1335,"sum":170450,"residue":530},{"from_index":1335,"to_index":175,"sum":168090,"residue":530}],"minimal_cycle":[530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[175,755],"circle_positions":590,"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":[176,756,1336],"clock_positions":[176,756,1336],"native_values":[237,532,237],"rotation_degrees":36.41379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,532,237],"beta":{"interval_sums":[170568,169978,168208],"interval_residues":[58,58,58],"display_cycle":[58,58,58],"intervals":[{"from_index":176,"to_index":756,"sum":170568,"residue":58},{"from_index":756,"to_index":1336,"sum":169978,"residue":58},{"from_index":1336,"to_index":176,"sum":168208,"residue":58}],"minimal_cycle":[58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[176,756],"circle_positions":590,"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":[177,757,1337],"clock_positions":[177,757,1337],"native_values":[2,297,297],"rotation_degrees":36.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,297,297],"beta":{"interval_sums":[171098,169918,168148],"interval_residues":[588,588,588],"display_cycle":[588,588,588],"intervals":[{"from_index":177,"to_index":757,"sum":171098,"residue":588},{"from_index":757,"to_index":1337,"sum":169918,"residue":588},{"from_index":1337,"to_index":177,"sum":168148,"residue":588}],"minimal_cycle":[588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[177,757],"circle_positions":590,"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":[178,758,1338],"clock_positions":[178,758,1338],"native_values":[239,239,534],"rotation_degrees":36.827586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,239,534],"beta":{"interval_sums":[171156,169976,167616],"interval_residues":[56,56,56],"display_cycle":[56,56,56],"intervals":[{"from_index":178,"to_index":758,"sum":171156,"residue":56},{"from_index":758,"to_index":1338,"sum":169976,"residue":56},{"from_index":1338,"to_index":178,"sum":167616,"residue":56}],"minimal_cycle":[56],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":56,"start_interval_clock_positions":[178,758],"circle_positions":590,"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":[179,759,1339],"clock_positions":[179,759,1339],"native_values":[241,536,241],"rotation_degrees":37.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,536,241],"beta":{"interval_sums":[171154,169974,167614],"interval_residues":[54,54,54],"display_cycle":[54,54,54],"intervals":[{"from_index":179,"to_index":759,"sum":171154,"residue":54},{"from_index":759,"to_index":1339,"sum":169974,"residue":54},{"from_index":1339,"to_index":179,"sum":167614,"residue":54}],"minimal_cycle":[54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[179,759],"circle_positions":590,"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":[180,760,1340],"clock_positions":[180,760,1340],"native_values":[480,185,185],"rotation_degrees":37.241379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[480,185,185],"beta":{"interval_sums":[171210,170030,167670],"interval_residues":[110,110,110],"display_cycle":[110,110,110],"intervals":[{"from_index":180,"to_index":760,"sum":171210,"residue":110},{"from_index":760,"to_index":1340,"sum":170030,"residue":110},{"from_index":1340,"to_index":180,"sum":167670,"residue":110}],"minimal_cycle":[110],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":110,"start_interval_clock_positions":[180,760],"circle_positions":590,"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":[181,761,1341],"clock_positions":[181,761,1341],"native_values":[131,131,426],"rotation_degrees":37.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,131,426],"beta":{"interval_sums":[171264,170084,167724],"interval_residues":[164,164,164],"display_cycle":[164,164,164],"intervals":[{"from_index":181,"to_index":761,"sum":171264,"residue":164},{"from_index":761,"to_index":1341,"sum":170084,"residue":164},{"from_index":1341,"to_index":181,"sum":167724,"residue":164}],"minimal_cycle":[164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[181,761],"circle_positions":590,"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":[182,762,1342],"clock_positions":[182,762,1342],"native_values":[21,316,21],"rotation_degrees":37.6551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,316,21],"beta":{"interval_sums":[171374,170194,167834],"interval_residues":[274,274,274],"display_cycle":[274,274,274],"intervals":[{"from_index":182,"to_index":762,"sum":171374,"residue":274},{"from_index":762,"to_index":1342,"sum":170194,"residue":274},{"from_index":1342,"to_index":182,"sum":167834,"residue":274}],"minimal_cycle":[274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":274,"start_interval_clock_positions":[182,762],"circle_positions":590,"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":[183,763,1343],"clock_positions":[183,763,1343],"native_values":[152,447,447],"rotation_degrees":37.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[152,447,447],"beta":{"interval_sums":[171538,169768,167408],"interval_residues":[438,438,438],"display_cycle":[438,438,438],"intervals":[{"from_index":183,"to_index":763,"sum":171538,"residue":438},{"from_index":763,"to_index":1343,"sum":169768,"residue":438},{"from_index":1343,"to_index":183,"sum":167408,"residue":438}],"minimal_cycle":[438],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":438,"start_interval_clock_positions":[183,763],"circle_positions":590,"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":[184,764,1344],"clock_positions":[184,764,1344],"native_values":[173,173,468],"rotation_degrees":38.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,173,468],"beta":{"interval_sums":[171812,170042,167092],"interval_residues":[122,122,122],"display_cycle":[122,122,122],"intervals":[{"from_index":184,"to_index":764,"sum":171812,"residue":122},{"from_index":764,"to_index":1344,"sum":170042,"residue":122},{"from_index":1344,"to_index":184,"sum":167092,"residue":122}],"minimal_cycle":[122],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[184,764],"circle_positions":590,"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":[185,765,1345],"clock_positions":[185,765,1345],"native_values":[325,30,325],"rotation_degrees":38.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,30,325],"beta":{"interval_sums":[171660,170480,166940],"interval_residues":[560,560,560],"display_cycle":[560,560,560],"intervals":[{"from_index":185,"to_index":765,"sum":171660,"residue":560},{"from_index":765,"to_index":1345,"sum":170480,"residue":560},{"from_index":1345,"to_index":185,"sum":166940,"residue":560}],"minimal_cycle":[560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":560,"start_interval_clock_positions":[185,765],"circle_positions":590,"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":[186,766,1346],"clock_positions":[186,766,1346],"native_values":[498,203,203],"rotation_degrees":38.48275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[498,203,203],"beta":{"interval_sums":[171192,170602,167062],"interval_residues":[92,92,92],"display_cycle":[92,92,92],"intervals":[{"from_index":186,"to_index":766,"sum":171192,"residue":92},{"from_index":766,"to_index":1346,"sum":170602,"residue":92},{"from_index":1346,"to_index":186,"sum":167062,"residue":92}],"minimal_cycle":[92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[186,766],"circle_positions":590,"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":[187,767,1347],"clock_positions":[187,767,1347],"native_values":[233,233,528],"rotation_degrees":38.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,233,528],"beta":{"interval_sums":[171162,170572,167032],"interval_residues":[62,62,62],"display_cycle":[62,62,62],"intervals":[{"from_index":187,"to_index":767,"sum":171162,"residue":62},{"from_index":767,"to_index":1347,"sum":170572,"residue":62},{"from_index":1347,"to_index":187,"sum":167032,"residue":62}],"minimal_cycle":[62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[187,767],"circle_positions":590,"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":[188,768,1348],"clock_positions":[188,768,1348],"native_values":[141,436,141],"rotation_degrees":38.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,436,141],"beta":{"interval_sums":[171254,170664,167124],"interval_residues":[154,154,154],"display_cycle":[154,154,154],"intervals":[{"from_index":188,"to_index":768,"sum":171254,"residue":154},{"from_index":768,"to_index":1348,"sum":170664,"residue":154},{"from_index":1348,"to_index":188,"sum":167124,"residue":154}],"minimal_cycle":[154],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":154,"start_interval_clock_positions":[188,768],"circle_positions":590,"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":[189,769,1349],"clock_positions":[189,769,1349],"native_values":[374,79,79],"rotation_degrees":39.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[374,79,79],"beta":{"interval_sums":[171316,170726,167186],"interval_residues":[216,216,216],"display_cycle":[216,216,216],"intervals":[{"from_index":189,"to_index":769,"sum":171316,"residue":216},{"from_index":769,"to_index":1349,"sum":170726,"residue":216},{"from_index":1349,"to_index":189,"sum":167186,"residue":216}],"minimal_cycle":[216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[189,769],"circle_positions":590,"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":[190,770,1350],"clock_positions":[190,770,1350],"native_values":[515,515,220],"rotation_degrees":39.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[515,515,220],"beta":{"interval_sums":[170880,170290,167340],"interval_residues":[370,370,370],"display_cycle":[370,370,370],"intervals":[{"from_index":190,"to_index":770,"sum":170880,"residue":370},{"from_index":770,"to_index":1350,"sum":170290,"residue":370},{"from_index":1350,"to_index":190,"sum":167340,"residue":370}],"minimal_cycle":[370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[190,770],"circle_positions":590,"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":[191,771,1351],"clock_positions":[191,771,1351],"native_values":[299,4,299],"rotation_degrees":39.51724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,4,299],"beta":{"interval_sums":[171096,170506,167556],"interval_residues":[586,586,586],"display_cycle":[586,586,586],"intervals":[{"from_index":191,"to_index":771,"sum":171096,"residue":586},{"from_index":771,"to_index":1351,"sum":170506,"residue":586},{"from_index":1351,"to_index":191,"sum":167556,"residue":586}],"minimal_cycle":[586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[191,771],"circle_positions":590,"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":[192,772,1352],"clock_positions":[192,772,1352],"native_values":[224,519,519],"rotation_degrees":39.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[224,519,519],"beta":{"interval_sums":[170876,170286,167336],"interval_residues":[366,366,366],"display_cycle":[366,366,366],"intervals":[{"from_index":192,"to_index":772,"sum":170876,"residue":366},{"from_index":772,"to_index":1352,"sum":170286,"residue":366},{"from_index":1352,"to_index":192,"sum":167336,"residue":366}],"minimal_cycle":[366],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":366,"start_interval_clock_positions":[192,772],"circle_positions":590,"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":[193,773,1353],"clock_positions":[193,773,1353],"native_values":[523,523,228],"rotation_degrees":39.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,523,228],"beta":{"interval_sums":[170872,170282,167332],"interval_residues":[362,362,362],"display_cycle":[362,362,362],"intervals":[{"from_index":193,"to_index":773,"sum":170872,"residue":362},{"from_index":773,"to_index":1353,"sum":170282,"residue":362},{"from_index":1353,"to_index":193,"sum":167332,"residue":362}],"minimal_cycle":[362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[193,773],"circle_positions":590,"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":[194,774,1354],"clock_positions":[194,774,1354],"native_values":[157,452,157],"rotation_degrees":40.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,452,157],"beta":{"interval_sums":[171238,170058,167698],"interval_residues":[138,138,138],"display_cycle":[138,138,138],"intervals":[{"from_index":194,"to_index":774,"sum":171238,"residue":138},{"from_index":774,"to_index":1354,"sum":170058,"residue":138},{"from_index":1354,"to_index":194,"sum":167698,"residue":138}],"minimal_cycle":[138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[194,774],"circle_positions":590,"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":[195,775,1355],"clock_positions":[195,775,1355],"native_values":[90,385,385],"rotation_degrees":40.3448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[90,385,385],"beta":{"interval_sums":[171600,169830,167470],"interval_residues":[500,500,500],"display_cycle":[500,500,500],"intervals":[{"from_index":195,"to_index":775,"sum":171600,"residue":500},{"from_index":775,"to_index":1355,"sum":169830,"residue":500},{"from_index":1355,"to_index":195,"sum":167470,"residue":500}],"minimal_cycle":[500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[195,775],"circle_positions":590,"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":[196,776,1356],"clock_positions":[196,776,1356],"native_values":[247,247,542],"rotation_degrees":40.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,247,542],"beta":{"interval_sums":[171738,169968,167018],"interval_residues":[48,48,48],"display_cycle":[48,48,48],"intervals":[{"from_index":196,"to_index":776,"sum":171738,"residue":48},{"from_index":776,"to_index":1356,"sum":169968,"residue":48},{"from_index":1356,"to_index":196,"sum":167018,"residue":48}],"minimal_cycle":[48],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":48,"start_interval_clock_positions":[196,776],"circle_positions":590,"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":[197,777,1357],"clock_positions":[197,777,1357],"native_values":[337,42,337],"rotation_degrees":40.758620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,42,337],"beta":{"interval_sums":[171648,170468,166928],"interval_residues":[548,548,548],"display_cycle":[548,548,548],"intervals":[{"from_index":197,"to_index":777,"sum":171648,"residue":548},{"from_index":777,"to_index":1357,"sum":170468,"residue":548},{"from_index":1357,"to_index":197,"sum":166928,"residue":548}],"minimal_cycle":[548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":548,"start_interval_clock_positions":[197,777],"circle_positions":590,"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":[198,778,1358],"clock_positions":[198,778,1358],"native_values":[584,289,289],"rotation_degrees":40.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[584,289,289],"beta":{"interval_sums":[171106,170516,166976],"interval_residues":[6,6,6],"display_cycle":[6,6,6],"intervals":[{"from_index":198,"to_index":778,"sum":171106,"residue":6},{"from_index":778,"to_index":1358,"sum":170516,"residue":6},{"from_index":1358,"to_index":198,"sum":166976,"residue":6}],"minimal_cycle":[6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[198,778],"circle_positions":590,"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":[199,779,1359],"clock_positions":[199,779,1359],"native_values":[331,331,36],"rotation_degrees":41.172413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,331,36],"beta":{"interval_sums":[171064,170474,167524],"interval_residues":[554,554,554],"display_cycle":[554,554,554],"intervals":[{"from_index":199,"to_index":779,"sum":171064,"residue":554},{"from_index":779,"to_index":1359,"sum":170474,"residue":554},{"from_index":1359,"to_index":199,"sum":167524,"residue":554}],"minimal_cycle":[554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[199,779],"circle_positions":590,"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":[200,780,1360],"clock_positions":[200,780,1360],"native_values":[325,30,325],"rotation_degrees":41.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,30,325],"beta":{"interval_sums":[171070,170480,167530],"interval_residues":[560,560,560],"display_cycle":[560,560,560],"intervals":[{"from_index":200,"to_index":780,"sum":171070,"residue":560},{"from_index":780,"to_index":1360,"sum":170480,"residue":560},{"from_index":1360,"to_index":200,"sum":167530,"residue":560}],"minimal_cycle":[560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":560,"start_interval_clock_positions":[200,780],"circle_positions":590,"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":[201,781,1361],"clock_positions":[201,781,1361],"native_values":[66,361,361],"rotation_degrees":41.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[66,361,361],"beta":{"interval_sums":[171034,170444,167494],"interval_residues":[524,524,524],"display_cycle":[524,524,524],"intervals":[{"from_index":201,"to_index":781,"sum":171034,"residue":524},{"from_index":781,"to_index":1361,"sum":170444,"residue":524},{"from_index":1361,"to_index":201,"sum":167494,"residue":524}],"minimal_cycle":[524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[201,781],"circle_positions":590,"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":[202,782,1362],"clock_positions":[202,782,1362],"native_values":[391,391,96],"rotation_degrees":41.793103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,391,96],"beta":{"interval_sums":[171004,170414,167464],"interval_residues":[494,494,494],"display_cycle":[494,494,494],"intervals":[{"from_index":202,"to_index":782,"sum":171004,"residue":494},{"from_index":782,"to_index":1362,"sum":170414,"residue":494},{"from_index":1362,"to_index":202,"sum":167464,"residue":494}],"minimal_cycle":[494],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":494,"start_interval_clock_positions":[202,782],"circle_positions":590,"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":[203,783,1363],"clock_positions":[203,783,1363],"native_values":[457,162,457],"rotation_degrees":42.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,162,457],"beta":{"interval_sums":[170938,170348,167398],"interval_residues":[428,428,428],"display_cycle":[428,428,428],"intervals":[{"from_index":203,"to_index":783,"sum":170938,"residue":428},{"from_index":783,"to_index":1363,"sum":170348,"residue":428},{"from_index":1363,"to_index":203,"sum":167398,"residue":428}],"minimal_cycle":[428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[203,783],"circle_positions":590,"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":[204,784,1364],"clock_positions":[204,784,1364],"native_values":[258,553,553],"rotation_degrees":42.206896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[258,553,553],"beta":{"interval_sums":[170842,170252,167302],"interval_residues":[332,332,332],"display_cycle":[332,332,332],"intervals":[{"from_index":204,"to_index":784,"sum":170842,"residue":332},{"from_index":784,"to_index":1364,"sum":170252,"residue":332},{"from_index":1364,"to_index":204,"sum":167302,"residue":332}],"minimal_cycle":[332],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[204,784],"circle_positions":590,"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":[205,785,1365],"clock_positions":[205,785,1365],"native_values":[125,125,420],"rotation_degrees":42.41379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,125,420],"beta":{"interval_sums":[171270,170680,167140],"interval_residues":[170,170,170],"display_cycle":[170,170,170],"intervals":[{"from_index":205,"to_index":785,"sum":171270,"residue":170},{"from_index":785,"to_index":1365,"sum":170680,"residue":170},{"from_index":1365,"to_index":205,"sum":167140,"residue":170}],"minimal_cycle":[170],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[205,785],"circle_positions":590,"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":[206,786,1366],"clock_positions":[206,786,1366],"native_values":[383,88,383],"rotation_degrees":42.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[383,88,383],"beta":{"interval_sums":[171012,171012,166882],"interval_residues":[502,502,502],"display_cycle":[502,502,502],"intervals":[{"from_index":206,"to_index":786,"sum":171012,"residue":502},{"from_index":786,"to_index":1366,"sum":171012,"residue":502},{"from_index":1366,"to_index":206,"sum":166882,"residue":502}],"minimal_cycle":[502],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[206,786],"circle_positions":590,"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":[207,787,1367],"clock_positions":[207,787,1367],"native_values":[508,213,213],"rotation_degrees":42.827586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[508,213,213],"beta":{"interval_sums":[170592,171182,167052],"interval_residues":[82,82,82],"display_cycle":[82,82,82],"intervals":[{"from_index":207,"to_index":787,"sum":170592,"residue":82},{"from_index":787,"to_index":1367,"sum":171182,"residue":82},{"from_index":1367,"to_index":207,"sum":167052,"residue":82}],"minimal_cycle":[82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[207,787],"circle_positions":590,"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":[208,788,1368],"clock_positions":[208,788,1368],"native_values":[301,301,6],"rotation_degrees":43.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,301,6],"beta":{"interval_sums":[170504,171094,167554],"interval_residues":[584,584,584],"display_cycle":[584,584,584],"intervals":[{"from_index":208,"to_index":788,"sum":170504,"residue":584},{"from_index":788,"to_index":1368,"sum":171094,"residue":584},{"from_index":1368,"to_index":208,"sum":167554,"residue":584}],"minimal_cycle":[584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[208,788],"circle_positions":590,"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":[209,789,1369],"clock_positions":[209,789,1369],"native_values":[219,514,219],"rotation_degrees":43.241379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,514,219],"beta":{"interval_sums":[170586,170586,167636],"interval_residues":[76,76,76],"display_cycle":[76,76,76],"intervals":[{"from_index":209,"to_index":789,"sum":170586,"residue":76},{"from_index":789,"to_index":1369,"sum":170586,"residue":76},{"from_index":1369,"to_index":209,"sum":167636,"residue":76}],"minimal_cycle":[76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[209,789],"circle_positions":590,"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":[210,790,1370],"clock_positions":[210,790,1370],"native_values":[520,225,225],"rotation_degrees":43.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[520,225,225],"beta":{"interval_sums":[170580,170580,167630],"interval_residues":[70,70,70],"display_cycle":[70,70,70],"intervals":[{"from_index":210,"to_index":790,"sum":170580,"residue":70},{"from_index":790,"to_index":1370,"sum":170580,"residue":70},{"from_index":1370,"to_index":210,"sum":167630,"residue":70}],"minimal_cycle":[70],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[210,790],"circle_positions":590,"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":[211,791,1371],"clock_positions":[211,791,1371],"native_values":[149,149,444],"rotation_degrees":43.6551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,149,444],"beta":{"interval_sums":[170656,170656,167706],"interval_residues":[146,146,146],"display_cycle":[146,146,146],"intervals":[{"from_index":211,"to_index":791,"sum":170656,"residue":146},{"from_index":791,"to_index":1371,"sum":170656,"residue":146},{"from_index":1371,"to_index":211,"sum":167706,"residue":146}],"minimal_cycle":[146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[211,791],"circle_positions":590,"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":[212,792,1372],"clock_positions":[212,792,1372],"native_values":[79,374,79],"rotation_degrees":43.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,374,79],"beta":{"interval_sums":[170726,170726,167776],"interval_residues":[216,216,216],"display_cycle":[216,216,216],"intervals":[{"from_index":212,"to_index":792,"sum":170726,"residue":216},{"from_index":792,"to_index":1372,"sum":170726,"residue":216},{"from_index":1372,"to_index":212,"sum":167776,"residue":216}],"minimal_cycle":[216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[212,792],"circle_positions":590,"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":[213,793,1373],"clock_positions":[213,793,1373],"native_values":[228,523,523],"rotation_degrees":44.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[228,523,523],"beta":{"interval_sums":[170872,170282,167332],"interval_residues":[362,362,362],"display_cycle":[362,362,362],"intervals":[{"from_index":213,"to_index":793,"sum":170872,"residue":362},{"from_index":793,"to_index":1373,"sum":170282,"residue":362},{"from_index":1373,"to_index":213,"sum":167332,"residue":362}],"minimal_cycle":[362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[213,793],"circle_positions":590,"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":[214,794,1374],"clock_positions":[214,794,1374],"native_values":[307,307,12],"rotation_degrees":44.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,307,12],"beta":{"interval_sums":[171088,170498,167548],"interval_residues":[578,578,578],"display_cycle":[578,578,578],"intervals":[{"from_index":214,"to_index":794,"sum":171088,"residue":578},{"from_index":794,"to_index":1374,"sum":170498,"residue":578},{"from_index":1374,"to_index":214,"sum":167548,"residue":578}],"minimal_cycle":[578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[214,794],"circle_positions":590,"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":[215,795,1375],"clock_positions":[215,795,1375],"native_values":[535,240,535],"rotation_degrees":44.48275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[535,240,535],"beta":{"interval_sums":[170860,170270,167320],"interval_residues":[350,350,350],"display_cycle":[350,350,350],"intervals":[{"from_index":215,"to_index":795,"sum":170860,"residue":350},{"from_index":795,"to_index":1375,"sum":170270,"residue":350},{"from_index":1375,"to_index":215,"sum":167320,"residue":350}],"minimal_cycle":[350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[215,795],"circle_positions":590,"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":[216,796,1376],"clock_positions":[216,796,1376],"native_values":[252,547,547],"rotation_degrees":44.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[252,547,547],"beta":{"interval_sums":[170848,170258,167308],"interval_residues":[338,338,338],"display_cycle":[338,338,338],"intervals":[{"from_index":216,"to_index":796,"sum":170848,"residue":338},{"from_index":796,"to_index":1376,"sum":170258,"residue":338},{"from_index":1376,"to_index":216,"sum":167308,"residue":338}],"minimal_cycle":[338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[216,796],"circle_positions":590,"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":[217,797,1377],"clock_positions":[217,797,1377],"native_values":[197,197,492],"rotation_degrees":44.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,197,492],"beta":{"interval_sums":[171198,170608,167068],"interval_residues":[98,98,98],"display_cycle":[98,98,98],"intervals":[{"from_index":217,"to_index":797,"sum":171198,"residue":98},{"from_index":797,"to_index":1377,"sum":170608,"residue":98},{"from_index":1377,"to_index":217,"sum":167068,"residue":98}],"minimal_cycle":[98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":98,"start_interval_clock_positions":[217,797],"circle_positions":590,"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":[218,798,1378],"clock_positions":[218,798,1378],"native_values":[449,154,449],"rotation_degrees":45.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,154,449],"beta":{"interval_sums":[170946,170946,166816],"interval_residues":[436,436,436],"display_cycle":[436,436,436],"intervals":[{"from_index":218,"to_index":798,"sum":170946,"residue":436},{"from_index":798,"to_index":1378,"sum":170946,"residue":436},{"from_index":1378,"to_index":218,"sum":166816,"residue":436}],"minimal_cycle":[436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[218,798],"circle_positions":590,"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":[219,799,1379],"clock_positions":[219,799,1379],"native_values":[56,351,351],"rotation_degrees":45.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[56,351,351],"beta":{"interval_sums":[171044,171044,166914],"interval_residues":[534,534,534],"display_cycle":[534,534,534],"intervals":[{"from_index":219,"to_index":799,"sum":171044,"residue":534},{"from_index":799,"to_index":1379,"sum":171044,"residue":534},{"from_index":1379,"to_index":219,"sum":166914,"residue":534}],"minimal_cycle":[534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[219,799],"circle_positions":590,"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":[220,800,1380],"clock_positions":[220,800,1380],"native_values":[505,505,210],"rotation_degrees":45.51724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[505,505,210],"beta":{"interval_sums":[170890,170890,166760],"interval_residues":[380,380,380],"display_cycle":[380,380,380],"intervals":[{"from_index":220,"to_index":800,"sum":170890,"residue":380},{"from_index":800,"to_index":1380,"sum":170890,"residue":380},{"from_index":1380,"to_index":220,"sum":166760,"residue":380}],"minimal_cycle":[380],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":380,"start_interval_clock_positions":[220,800],"circle_positions":590,"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":[221,801,1381],"clock_positions":[221,801,1381],"native_values":[561,266,561],"rotation_degrees":45.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,266,561],"beta":{"interval_sums":[170834,170834,166704],"interval_residues":[324,324,324],"display_cycle":[324,324,324],"intervals":[{"from_index":221,"to_index":801,"sum":170834,"residue":324},{"from_index":801,"to_index":1381,"sum":170834,"residue":324},{"from_index":1381,"to_index":221,"sum":166704,"residue":324}],"minimal_cycle":[324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[221,801],"circle_positions":590,"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":[222,802,1382],"clock_positions":[222,802,1382],"native_values":[476,181,181],"rotation_degrees":45.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[476,181,181],"beta":{"interval_sums":[170624,171214,167084],"interval_residues":[114,114,114],"display_cycle":[114,114,114],"intervals":[{"from_index":222,"to_index":802,"sum":170624,"residue":114},{"from_index":802,"to_index":1382,"sum":171214,"residue":114},{"from_index":1382,"to_index":222,"sum":167084,"residue":114}],"minimal_cycle":[114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[222,802],"circle_positions":590,"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":[223,803,1383],"clock_positions":[223,803,1383],"native_values":[447,447,152],"rotation_degrees":46.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[447,447,152],"beta":{"interval_sums":[170358,170948,167408],"interval_residues":[438,438,438],"display_cycle":[438,438,438],"intervals":[{"from_index":223,"to_index":803,"sum":170358,"residue":438},{"from_index":803,"to_index":1383,"sum":170948,"residue":438},{"from_index":1383,"to_index":223,"sum":167408,"residue":438}],"minimal_cycle":[438],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":438,"start_interval_clock_positions":[223,803],"circle_positions":590,"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":[224,804,1384],"clock_positions":[224,804,1384],"native_values":[333,38,333],"rotation_degrees":46.3448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,38,333],"beta":{"interval_sums":[170472,171062,167522],"interval_residues":[552,552,552],"display_cycle":[552,552,552],"intervals":[{"from_index":224,"to_index":804,"sum":170472,"residue":552},{"from_index":804,"to_index":1384,"sum":171062,"residue":552},{"from_index":1384,"to_index":224,"sum":167522,"residue":552}],"minimal_cycle":[552],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[224,804],"circle_positions":590,"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":[225,805,1385],"clock_positions":[225,805,1385],"native_values":[190,485,485],"rotation_degrees":46.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[190,485,485],"beta":{"interval_sums":[170320,170910,167370],"interval_residues":[400,400,400],"display_cycle":[400,400,400],"intervals":[{"from_index":225,"to_index":805,"sum":170320,"residue":400},{"from_index":805,"to_index":1385,"sum":170910,"residue":400},{"from_index":1385,"to_index":225,"sum":167370,"residue":400}],"minimal_cycle":[400],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":400,"start_interval_clock_positions":[225,805],"circle_positions":590,"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":[226,806,1386],"clock_positions":[226,806,1386],"native_values":[523,523,228],"rotation_degrees":46.758620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,523,228],"beta":{"interval_sums":[170282,170872,167332],"interval_residues":[362,362,362],"display_cycle":[362,362,362],"intervals":[{"from_index":226,"to_index":806,"sum":170282,"residue":362},{"from_index":806,"to_index":1386,"sum":170872,"residue":362},{"from_index":1386,"to_index":226,"sum":167332,"residue":362}],"minimal_cycle":[362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[226,806],"circle_positions":590,"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":[227,807,1387],"clock_positions":[227,807,1387],"native_values":[123,418,123],"rotation_degrees":46.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,418,123],"beta":{"interval_sums":[170682,170682,167732],"interval_residues":[172,172,172],"display_cycle":[172,172,172],"intervals":[{"from_index":227,"to_index":807,"sum":170682,"residue":172},{"from_index":807,"to_index":1387,"sum":170682,"residue":172},{"from_index":1387,"to_index":227,"sum":167732,"residue":172}],"minimal_cycle":[172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":172,"start_interval_clock_positions":[227,807],"circle_positions":590,"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":[228,808,1388],"clock_positions":[228,808,1388],"native_values":[56,351,351],"rotation_degrees":47.172413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[56,351,351],"beta":{"interval_sums":[171044,170454,167504],"interval_residues":[534,534,534],"display_cycle":[534,534,534],"intervals":[{"from_index":228,"to_index":808,"sum":171044,"residue":534},{"from_index":808,"to_index":1388,"sum":170454,"residue":534},{"from_index":1388,"to_index":228,"sum":167504,"residue":534}],"minimal_cycle":[534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[228,808],"circle_positions":590,"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":[229,809,1389],"clock_positions":[229,809,1389],"native_values":[179,179,474],"rotation_degrees":47.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[179,179,474],"beta":{"interval_sums":[171216,170626,167086],"interval_residues":[116,116,116],"display_cycle":[116,116,116],"intervals":[{"from_index":229,"to_index":809,"sum":171216,"residue":116},{"from_index":809,"to_index":1389,"sum":170626,"residue":116},{"from_index":1389,"to_index":229,"sum":167086,"residue":116}],"minimal_cycle":[116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[229,809],"circle_positions":590,"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":[230,810,1390],"clock_positions":[230,810,1390],"native_values":[235,530,235],"rotation_degrees":47.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,530,235],"beta":{"interval_sums":[171160,170570,167030],"interval_residues":[60,60,60],"display_cycle":[60,60,60],"intervals":[{"from_index":230,"to_index":810,"sum":171160,"residue":60},{"from_index":810,"to_index":1390,"sum":170570,"residue":60},{"from_index":1390,"to_index":230,"sum":167030,"residue":60}],"minimal_cycle":[60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[230,810],"circle_positions":590,"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":[231,811,1391],"clock_positions":[231,811,1391],"native_values":[414,119,119],"rotation_degrees":47.793103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[414,119,119],"beta":{"interval_sums":[171276,170686,167146],"interval_residues":[176,176,176],"display_cycle":[176,176,176],"intervals":[{"from_index":231,"to_index":811,"sum":171276,"residue":176},{"from_index":811,"to_index":1391,"sum":170686,"residue":176},{"from_index":1391,"to_index":231,"sum":167146,"residue":176}],"minimal_cycle":[176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[231,811],"circle_positions":590,"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":[232,812,1392],"clock_positions":[232,812,1392],"native_values":[59,59,354],"rotation_degrees":48.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[59,59,354],"beta":{"interval_sums":[171336,170746,167206],"interval_residues":[236,236,236],"display_cycle":[236,236,236],"intervals":[{"from_index":232,"to_index":812,"sum":171336,"residue":236},{"from_index":812,"to_index":1392,"sum":170746,"residue":236},{"from_index":1392,"to_index":232,"sum":167206,"residue":236}],"minimal_cycle":[236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[232,812],"circle_positions":590,"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":[233,813,1393],"clock_positions":[233,813,1393],"native_values":[473,178,473],"rotation_degrees":48.206896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,178,473],"beta":{"interval_sums":[170922,170922,166792],"interval_residues":[412,412,412],"display_cycle":[412,412,412],"intervals":[{"from_index":233,"to_index":813,"sum":170922,"residue":412},{"from_index":813,"to_index":1393,"sum":170922,"residue":412},{"from_index":1393,"to_index":233,"sum":166792,"residue":412}],"minimal_cycle":[412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[233,813],"circle_positions":590,"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":[234,814,1394],"clock_positions":[234,814,1394],"native_values":[532,237,237],"rotation_degrees":48.41379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[532,237,237],"beta":{"interval_sums":[170568,171158,167028],"interval_residues":[58,58,58],"display_cycle":[58,58,58],"intervals":[{"from_index":234,"to_index":814,"sum":170568,"residue":58},{"from_index":814,"to_index":1394,"sum":171158,"residue":58},{"from_index":1394,"to_index":234,"sum":167028,"residue":58}],"minimal_cycle":[58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[234,814],"circle_positions":590,"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":[235,815,1395],"clock_positions":[235,815,1395],"native_values":[415,415,120],"rotation_degrees":48.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[415,415,120],"beta":{"interval_sums":[170390,170980,167440],"interval_residues":[470,470,470],"display_cycle":[470,470,470],"intervals":[{"from_index":235,"to_index":815,"sum":170390,"residue":470},{"from_index":815,"to_index":1395,"sum":170980,"residue":470},{"from_index":1395,"to_index":235,"sum":167440,"residue":470}],"minimal_cycle":[470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[235,815],"circle_positions":590,"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":[236,816,1396],"clock_positions":[236,816,1396],"native_values":[357,62,357],"rotation_degrees":48.827586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,62,357],"beta":{"interval_sums":[170448,171038,167498],"interval_residues":[528,528,528],"display_cycle":[528,528,528],"intervals":[{"from_index":236,"to_index":816,"sum":170448,"residue":528},{"from_index":816,"to_index":1396,"sum":171038,"residue":528},{"from_index":1396,"to_index":236,"sum":167498,"residue":528}],"minimal_cycle":[528],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":528,"start_interval_clock_positions":[236,816],"circle_positions":590,"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":[237,817,1397],"clock_positions":[237,817,1397],"native_values":[182,477,477],"rotation_degrees":49.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[182,477,477],"beta":{"interval_sums":[170328,170918,167378],"interval_residues":[408,408,408],"display_cycle":[408,408,408],"intervals":[{"from_index":237,"to_index":817,"sum":170328,"residue":408},{"from_index":817,"to_index":1397,"sum":170918,"residue":408},{"from_index":1397,"to_index":237,"sum":167378,"residue":408}],"minimal_cycle":[408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[237,817],"circle_positions":590,"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":[238,818,1398],"clock_positions":[238,818,1398],"native_values":[539,539,244],"rotation_degrees":49.241379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[539,539,244],"beta":{"interval_sums":[170266,170856,167316],"interval_residues":[346,346,346],"display_cycle":[346,346,346],"intervals":[{"from_index":238,"to_index":818,"sum":170266,"residue":346},{"from_index":818,"to_index":1398,"sum":170856,"residue":346},{"from_index":1398,"to_index":238,"sum":167316,"residue":346}],"minimal_cycle":[346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[238,818],"circle_positions":590,"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":[239,819,1399],"clock_positions":[239,819,1399],"native_values":[131,426,131],"rotation_degrees":49.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,426,131],"beta":{"interval_sums":[170674,170674,167724],"interval_residues":[164,164,164],"display_cycle":[164,164,164],"intervals":[{"from_index":239,"to_index":819,"sum":170674,"residue":164},{"from_index":819,"to_index":1399,"sum":170674,"residue":164},{"from_index":1399,"to_index":239,"sum":167724,"residue":164}],"minimal_cycle":[164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[239,819],"circle_positions":590,"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":[240,820,1400],"clock_positions":[240,820,1400],"native_values":[80,375,375],"rotation_degrees":49.6551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[80,375,375],"beta":{"interval_sums":[171020,170430,167480],"interval_residues":[510,510,510],"display_cycle":[510,510,510],"intervals":[{"from_index":240,"to_index":820,"sum":171020,"residue":510},{"from_index":820,"to_index":1400,"sum":170430,"residue":510},{"from_index":1400,"to_index":240,"sum":167480,"residue":510}],"minimal_cycle":[510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[240,820],"circle_positions":590,"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":[241,821,1401],"clock_positions":[241,821,1401],"native_values":[211,211,506],"rotation_degrees":49.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,211,506],"beta":{"interval_sums":[171184,170594,167054],"interval_residues":[84,84,84],"display_cycle":[84,84,84],"intervals":[{"from_index":241,"to_index":821,"sum":171184,"residue":84},{"from_index":821,"to_index":1401,"sum":170594,"residue":84},{"from_index":1401,"to_index":241,"sum":167054,"residue":84}],"minimal_cycle":[84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[241,821],"circle_positions":590,"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":[242,822,1402],"clock_positions":[242,822,1402],"native_values":[291,586,291],"rotation_degrees":50.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,586,291],"beta":{"interval_sums":[171104,170514,166974],"interval_residues":[4,4,4],"display_cycle":[4,4,4],"intervals":[{"from_index":242,"to_index":822,"sum":171104,"residue":4},{"from_index":822,"to_index":1402,"sum":170514,"residue":4},{"from_index":1402,"to_index":242,"sum":166974,"residue":4}],"minimal_cycle":[4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[242,822],"circle_positions":590,"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":[243,823,1403],"clock_positions":[243,823,1403],"native_values":[502,207,207],"rotation_degrees":50.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,207,207],"beta":{"interval_sums":[171188,170598,167058],"interval_residues":[88,88,88],"display_cycle":[88,88,88],"intervals":[{"from_index":243,"to_index":823,"sum":171188,"residue":88},{"from_index":823,"to_index":1403,"sum":170598,"residue":88},{"from_index":1403,"to_index":243,"sum":167058,"residue":88}],"minimal_cycle":[88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[243,823],"circle_positions":590,"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":[244,824,1404],"clock_positions":[244,824,1404],"native_values":[203,203,498],"rotation_degrees":50.48275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,203,498],"beta":{"interval_sums":[171192,170602,167062],"interval_residues":[92,92,92],"display_cycle":[92,92,92],"intervals":[{"from_index":244,"to_index":824,"sum":171192,"residue":92},{"from_index":824,"to_index":1404,"sum":170602,"residue":92},{"from_index":1404,"to_index":244,"sum":167062,"residue":92}],"minimal_cycle":[92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[244,824],"circle_positions":590,"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":[245,825,1405],"clock_positions":[245,825,1405],"native_values":[115,410,115],"rotation_degrees":50.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,410,115],"beta":{"interval_sums":[171280,170690,167150],"interval_residues":[180,180,180],"display_cycle":[180,180,180],"intervals":[{"from_index":245,"to_index":825,"sum":171280,"residue":180},{"from_index":825,"to_index":1405,"sum":170690,"residue":180},{"from_index":1405,"to_index":245,"sum":167150,"residue":180}],"minimal_cycle":[180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[245,825],"circle_positions":590,"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":[246,826,1406],"clock_positions":[246,826,1406],"native_values":[318,23,23],"rotation_degrees":50.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[318,23,23],"beta":{"interval_sums":[171372,170782,167242],"interval_residues":[272,272,272],"display_cycle":[272,272,272],"intervals":[{"from_index":246,"to_index":826,"sum":171372,"residue":272},{"from_index":826,"to_index":1406,"sum":170782,"residue":272},{"from_index":1406,"to_index":246,"sum":167242,"residue":272}],"minimal_cycle":[272],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":272,"start_interval_clock_positions":[246,826],"circle_positions":590,"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":[247,827,1407],"clock_positions":[247,827,1407],"native_values":[433,433,138],"rotation_degrees":51.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,433,138],"beta":{"interval_sums":[170962,170372,167422],"interval_residues":[452,452,452],"display_cycle":[452,452,452],"intervals":[{"from_index":247,"to_index":827,"sum":170962,"residue":452},{"from_index":827,"to_index":1407,"sum":170372,"residue":452},{"from_index":1407,"to_index":247,"sum":167422,"residue":452}],"minimal_cycle":[452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[247,827],"circle_positions":590,"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":[248,828,1408],"clock_positions":[248,828,1408],"native_values":[161,456,161],"rotation_degrees":51.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,456,161],"beta":{"interval_sums":[171234,170054,167694],"interval_residues":[134,134,134],"display_cycle":[134,134,134],"intervals":[{"from_index":248,"to_index":828,"sum":171234,"residue":134},{"from_index":828,"to_index":1408,"sum":170054,"residue":134},{"from_index":1408,"to_index":248,"sum":167694,"residue":134}],"minimal_cycle":[134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[248,828],"circle_positions":590,"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":[249,829,1409],"clock_positions":[249,829,1409],"native_values":[4,299,299],"rotation_degrees":51.51724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[4,299,299],"beta":{"interval_sums":[171686,169916,167556],"interval_residues":[586,586,586],"display_cycle":[586,586,586],"intervals":[{"from_index":249,"to_index":829,"sum":171686,"residue":586},{"from_index":829,"to_index":1409,"sum":169916,"residue":586},{"from_index":1409,"to_index":249,"sum":167556,"residue":586}],"minimal_cycle":[586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[249,829],"circle_positions":590,"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":[250,830,1410],"clock_positions":[250,830,1410],"native_values":[165,165,460],"rotation_degrees":51.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,165,460],"beta":{"interval_sums":[171820,170050,167100],"interval_residues":[130,130,130],"display_cycle":[130,130,130],"intervals":[{"from_index":250,"to_index":830,"sum":171820,"residue":130},{"from_index":830,"to_index":1410,"sum":170050,"residue":130},{"from_index":1410,"to_index":250,"sum":167100,"residue":130}],"minimal_cycle":[130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[250,830],"circle_positions":590,"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":[251,831,1411],"clock_positions":[251,831,1411],"native_values":[169,464,169],"rotation_degrees":51.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,464,169],"beta":{"interval_sums":[171816,170046,167096],"interval_residues":[126,126,126],"display_cycle":[126,126,126],"intervals":[{"from_index":251,"to_index":831,"sum":171816,"residue":126},{"from_index":831,"to_index":1411,"sum":170046,"residue":126},{"from_index":1411,"to_index":251,"sum":167096,"residue":126}],"minimal_cycle":[126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[251,831],"circle_positions":590,"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":[252,832,1412],"clock_positions":[252,832,1412],"native_values":[334,39,39],"rotation_degrees":52.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[334,39,39],"beta":{"interval_sums":[171946,170176,167226],"interval_residues":[256,256,256],"display_cycle":[256,256,256],"intervals":[{"from_index":252,"to_index":832,"sum":171946,"residue":256},{"from_index":832,"to_index":1412,"sum":170176,"residue":256},{"from_index":1412,"to_index":252,"sum":167226,"residue":256}],"minimal_cycle":[256],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":256,"start_interval_clock_positions":[252,832],"circle_positions":590,"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":[253,833,1413],"clock_positions":[253,833,1413],"native_values":[503,503,208],"rotation_degrees":52.3448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[503,503,208],"beta":{"interval_sums":[171482,169712,167352],"interval_residues":[382,382,382],"display_cycle":[382,382,382],"intervals":[{"from_index":253,"to_index":833,"sum":171482,"residue":382},{"from_index":833,"to_index":1413,"sum":169712,"residue":382},{"from_index":1413,"to_index":253,"sum":167352,"residue":382}],"minimal_cycle":[382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[253,833],"circle_positions":590,"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":[254,834,1414],"clock_positions":[254,834,1414],"native_values":[247,542,247],"rotation_degrees":52.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,542,247],"beta":{"interval_sums":[171738,169378,167608],"interval_residues":[48,48,48],"display_cycle":[48,48,48],"intervals":[{"from_index":254,"to_index":834,"sum":171738,"residue":48},{"from_index":834,"to_index":1414,"sum":169378,"residue":48},{"from_index":1414,"to_index":254,"sum":167608,"residue":48}],"minimal_cycle":[48],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":48,"start_interval_clock_positions":[254,834],"circle_positions":590,"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":[255,835,1415],"clock_positions":[255,835,1415],"native_values":[160,455,455],"rotation_degrees":52.758620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[160,455,455],"beta":{"interval_sums":[172120,169170,167400],"interval_residues":[430,430,430],"display_cycle":[430,430,430],"intervals":[{"from_index":255,"to_index":835,"sum":172120,"residue":430},{"from_index":835,"to_index":1415,"sum":169170,"residue":430},{"from_index":1415,"to_index":255,"sum":167400,"residue":430}],"minimal_cycle":[430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[255,835],"circle_positions":590,"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":[256,836,1416],"clock_positions":[256,836,1416],"native_values":[407,407,112],"rotation_degrees":52.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[407,407,112],"beta":{"interval_sums":[172168,169218,167448],"interval_residues":[478,478,478],"display_cycle":[478,478,478],"intervals":[{"from_index":256,"to_index":836,"sum":172168,"residue":478},{"from_index":836,"to_index":1416,"sum":169218,"residue":478},{"from_index":1416,"to_index":256,"sum":167448,"residue":478}],"minimal_cycle":[478],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":478,"start_interval_clock_positions":[256,836],"circle_positions":590,"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":[257,837,1417],"clock_positions":[257,837,1417],"native_values":[567,272,567],"rotation_degrees":53.172413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,272,567],"beta":{"interval_sums":[172008,169058,167288],"interval_residues":[318,318,318],"display_cycle":[318,318,318],"intervals":[{"from_index":257,"to_index":837,"sum":172008,"residue":318},{"from_index":837,"to_index":1417,"sum":169058,"residue":318},{"from_index":1417,"to_index":257,"sum":167288,"residue":318}],"minimal_cycle":[318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":318,"start_interval_clock_positions":[257,837],"circle_positions":590,"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":[258,838,1418],"clock_positions":[258,838,1418],"native_values":[384,89,89],"rotation_degrees":53.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[384,89,89],"beta":{"interval_sums":[171896,169536,167766],"interval_residues":[206,206,206],"display_cycle":[206,206,206],"intervals":[{"from_index":258,"to_index":838,"sum":171896,"residue":206},{"from_index":838,"to_index":1418,"sum":169536,"residue":206},{"from_index":1418,"to_index":258,"sum":167766,"residue":206}],"minimal_cycle":[206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[258,838],"circle_positions":590,"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":[259,839,1419],"clock_positions":[259,839,1419],"native_values":[361,361,66],"rotation_degrees":53.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[361,361,66],"beta":{"interval_sums":[171624,169264,168084],"interval_residues":[524,524,524],"display_cycle":[524,524,524],"intervals":[{"from_index":259,"to_index":839,"sum":171624,"residue":524},{"from_index":839,"to_index":1419,"sum":169264,"residue":524},{"from_index":1419,"to_index":259,"sum":168084,"residue":524}],"minimal_cycle":[524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[259,839],"circle_positions":590,"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":[260,840,1420],"clock_positions":[260,840,1420],"native_values":[155,450,155],"rotation_degrees":53.793103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,450,155],"beta":{"interval_sums":[171830,168880,168290],"interval_residues":[140,140,140],"display_cycle":[140,140,140],"intervals":[{"from_index":260,"to_index":840,"sum":171830,"residue":140},{"from_index":840,"to_index":1420,"sum":168880,"residue":140},{"from_index":1420,"to_index":260,"sum":168290,"residue":140}],"minimal_cycle":[140],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":140,"start_interval_clock_positions":[260,840],"circle_positions":590,"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":[261,841,1421],"clock_positions":[261,841,1421],"native_values":[516,221,221],"rotation_degrees":54.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[516,221,221],"beta":{"interval_sums":[171764,168814,168224],"interval_residues":[74,74,74],"display_cycle":[74,74,74],"intervals":[{"from_index":261,"to_index":841,"sum":171764,"residue":74},{"from_index":841,"to_index":1421,"sum":168814,"residue":74},{"from_index":1421,"to_index":261,"sum":168224,"residue":74}],"minimal_cycle":[74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[261,841],"circle_positions":590,"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":[262,842,1422],"clock_positions":[262,842,1422],"native_values":[81,81,376],"rotation_degrees":54.206896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,81,376],"beta":{"interval_sums":[171904,168954,168364],"interval_residues":[214,214,214],"display_cycle":[214,214,214],"intervals":[{"from_index":262,"to_index":842,"sum":171904,"residue":214},{"from_index":842,"to_index":1422,"sum":168954,"residue":214},{"from_index":1422,"to_index":262,"sum":168364,"residue":214}],"minimal_cycle":[214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":214,"start_interval_clock_positions":[262,842],"circle_positions":590,"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":[263,843,1423],"clock_positions":[263,843,1423],"native_values":[7,302,7],"rotation_degrees":54.41379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[7,302,7],"beta":{"interval_sums":[171978,169028,168438],"interval_residues":[288,288,288],"display_cycle":[288,288,288],"intervals":[{"from_index":263,"to_index":843,"sum":171978,"residue":288},{"from_index":843,"to_index":1423,"sum":169028,"residue":288},{"from_index":1423,"to_index":263,"sum":168438,"residue":288}],"minimal_cycle":[288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[263,843],"circle_positions":590,"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":[264,844,1424],"clock_positions":[264,844,1424],"native_values":[88,383,383],"rotation_degrees":54.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[88,383,383],"beta":{"interval_sums":[172192,168652,168062],"interval_residues":[502,502,502],"display_cycle":[502,502,502],"intervals":[{"from_index":264,"to_index":844,"sum":172192,"residue":502},{"from_index":844,"to_index":1424,"sum":168652,"residue":502},{"from_index":1424,"to_index":264,"sum":168062,"residue":502}],"minimal_cycle":[502],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[264,844],"circle_positions":590,"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":[265,845,1425],"clock_positions":[265,845,1425],"native_values":[95,95,390],"rotation_degrees":54.827586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,95,390],"beta":{"interval_sums":[172480,168940,167760],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":265,"to_index":845,"sum":172480,"residue":200},{"from_index":845,"to_index":1425,"sum":168940,"residue":200},{"from_index":1425,"to_index":265,"sum":167760,"residue":200}],"minimal_cycle":[200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[265,845],"circle_positions":590,"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":[266,846,1426],"clock_positions":[266,846,1426],"native_values":[183,478,183],"rotation_degrees":55.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[183,478,183],"beta":{"interval_sums":[172392,168852,167672],"interval_residues":[112,112,112],"display_cycle":[112,112,112],"intervals":[{"from_index":266,"to_index":846,"sum":172392,"residue":112},{"from_index":846,"to_index":1426,"sum":168852,"residue":112},{"from_index":1426,"to_index":266,"sum":167672,"residue":112}],"minimal_cycle":[112],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":112,"start_interval_clock_positions":[266,846],"circle_positions":590,"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":[267,847,1427],"clock_positions":[267,847,1427],"native_values":[278,573,573],"rotation_degrees":55.241379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,573,573],"beta":{"interval_sums":[172592,168462,167282],"interval_residues":[312,312,312],"display_cycle":[312,312,312],"intervals":[{"from_index":267,"to_index":847,"sum":172592,"residue":312},{"from_index":847,"to_index":1427,"sum":168462,"residue":312},{"from_index":1427,"to_index":267,"sum":167282,"residue":312}],"minimal_cycle":[312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[267,847],"circle_positions":590,"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":[268,848,1428],"clock_positions":[268,848,1428],"native_values":[461,461,166],"rotation_degrees":55.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,461,166],"beta":{"interval_sums":[172704,168574,167394],"interval_residues":[424,424,424],"display_cycle":[424,424,424],"intervals":[{"from_index":268,"to_index":848,"sum":172704,"residue":424},{"from_index":848,"to_index":1428,"sum":168574,"residue":424},{"from_index":1428,"to_index":268,"sum":167394,"residue":424}],"minimal_cycle":[424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[268,848],"circle_positions":590,"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":[269,849,1429],"clock_positions":[269,849,1429],"native_values":[149,444,149],"rotation_degrees":55.6551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,444,149],"beta":{"interval_sums":[173016,168296,167706],"interval_residues":[146,146,146],"display_cycle":[146,146,146],"intervals":[{"from_index":269,"to_index":849,"sum":173016,"residue":146},{"from_index":849,"to_index":1429,"sum":168296,"residue":146},{"from_index":1429,"to_index":269,"sum":167706,"residue":146}],"minimal_cycle":[146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[269,849],"circle_positions":590,"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":[270,850,1430],"clock_positions":[270,850,1430],"native_values":[20,315,315],"rotation_degrees":55.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[20,315,315],"beta":{"interval_sums":[173440,168130,167540],"interval_residues":[570,570,570],"display_cycle":[570,570,570],"intervals":[{"from_index":270,"to_index":850,"sum":173440,"residue":570},{"from_index":850,"to_index":1430,"sum":168130,"residue":570},{"from_index":1430,"to_index":270,"sum":167540,"residue":570}],"minimal_cycle":[570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[270,850],"circle_positions":590,"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":[271,851,1431],"clock_positions":[271,851,1431],"native_values":[169,169,464],"rotation_degrees":56.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,169,464],"beta":{"interval_sums":[173586,168276,167096],"interval_residues":[126,126,126],"display_cycle":[126,126,126],"intervals":[{"from_index":271,"to_index":851,"sum":173586,"residue":126},{"from_index":851,"to_index":1431,"sum":168276,"residue":126},{"from_index":1431,"to_index":271,"sum":167096,"residue":126}],"minimal_cycle":[126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[271,851],"circle_positions":590,"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":[272,852,1432],"clock_positions":[272,852,1432],"native_values":[189,484,189],"rotation_degrees":56.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[189,484,189],"beta":{"interval_sums":[173566,168256,167076],"interval_residues":[106,106,106],"display_cycle":[106,106,106],"intervals":[{"from_index":272,"to_index":852,"sum":173566,"residue":106},{"from_index":852,"to_index":1432,"sum":168256,"residue":106},{"from_index":1432,"to_index":272,"sum":167076,"residue":106}],"minimal_cycle":[106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[272,852],"circle_positions":590,"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":[273,853,1433],"clock_positions":[273,853,1433],"native_values":[358,63,63],"rotation_degrees":56.48275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[358,63,63],"beta":{"interval_sums":[173692,168382,167202],"interval_residues":[232,232,232],"display_cycle":[232,232,232],"intervals":[{"from_index":273,"to_index":853,"sum":173692,"residue":232},{"from_index":853,"to_index":1433,"sum":168382,"residue":232},{"from_index":1433,"to_index":273,"sum":167202,"residue":232}],"minimal_cycle":[232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[273,853],"circle_positions":590,"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":[274,854,1434],"clock_positions":[274,854,1434],"native_values":[547,547,252],"rotation_degrees":56.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[547,547,252],"beta":{"interval_sums":[173208,167898,167308],"interval_residues":[338,338,338],"display_cycle":[338,338,338],"intervals":[{"from_index":274,"to_index":854,"sum":173208,"residue":338},{"from_index":854,"to_index":1434,"sum":167898,"residue":338},{"from_index":1434,"to_index":274,"sum":167308,"residue":338}],"minimal_cycle":[338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[274,854],"circle_positions":590,"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":[275,855,1435],"clock_positions":[275,855,1435],"native_values":[315,20,315],"rotation_degrees":56.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[315,20,315],"beta":{"interval_sums":[173440,168130,167540],"interval_residues":[570,570,570],"display_cycle":[570,570,570],"intervals":[{"from_index":275,"to_index":855,"sum":173440,"residue":570},{"from_index":855,"to_index":1435,"sum":168130,"residue":570},{"from_index":1435,"to_index":275,"sum":167540,"residue":570}],"minimal_cycle":[570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[275,855],"circle_positions":590,"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":[276,856,1436],"clock_positions":[276,856,1436],"native_values":[272,567,567],"rotation_degrees":57.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[272,567,567],"beta":{"interval_sums":[173188,167878,167288],"interval_residues":[318,318,318],"display_cycle":[318,318,318],"intervals":[{"from_index":276,"to_index":856,"sum":173188,"residue":318},{"from_index":856,"to_index":1436,"sum":167878,"residue":318},{"from_index":1436,"to_index":276,"sum":167288,"residue":318}],"minimal_cycle":[318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":318,"start_interval_clock_positions":[276,856],"circle_positions":590,"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":[277,857,1437],"clock_positions":[277,857,1437],"native_values":[587,587,292],"rotation_degrees":57.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,587,292],"beta":{"interval_sums":[173168,167858,167268],"interval_residues":[298,298,298],"display_cycle":[298,298,298],"intervals":[{"from_index":277,"to_index":857,"sum":173168,"residue":298},{"from_index":857,"to_index":1437,"sum":167858,"residue":298},{"from_index":1437,"to_index":277,"sum":167268,"residue":298}],"minimal_cycle":[298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[277,857],"circle_positions":590,"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":[278,858,1438],"clock_positions":[278,858,1438],"native_values":[269,564,269],"rotation_degrees":57.51724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[269,564,269],"beta":{"interval_sums":[173486,167586,167586],"interval_residues":[26,26,26],"display_cycle":[26,26,26],"intervals":[{"from_index":278,"to_index":858,"sum":173486,"residue":26},{"from_index":858,"to_index":1438,"sum":167586,"residue":26},{"from_index":1438,"to_index":278,"sum":167586,"residue":26}],"minimal_cycle":[26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[278,858],"circle_positions":590,"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":[279,859,1439],"clock_positions":[279,859,1439],"native_values":[266,561,561],"rotation_degrees":57.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[266,561,561],"beta":{"interval_sums":[173784,167294,167294],"interval_residues":[324,324,324],"display_cycle":[324,324,324],"intervals":[{"from_index":279,"to_index":859,"sum":173784,"residue":324},{"from_index":859,"to_index":1439,"sum":167294,"residue":324},{"from_index":1439,"to_index":279,"sum":167294,"residue":324}],"minimal_cycle":[324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[279,859],"circle_positions":590,"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":[280,860,1440],"clock_positions":[280,860,1440],"native_values":[535,535,240],"rotation_degrees":57.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[535,535,240],"beta":{"interval_sums":[173810,167320,167320],"interval_residues":[350,350,350],"display_cycle":[350,350,350],"intervals":[{"from_index":280,"to_index":860,"sum":173810,"residue":350},{"from_index":860,"to_index":1440,"sum":167320,"residue":350},{"from_index":1440,"to_index":280,"sum":167320,"residue":350}],"minimal_cycle":[350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[280,860],"circle_positions":590,"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":[281,861,1441],"clock_positions":[281,861,1441],"native_values":[211,506,211],"rotation_degrees":58.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,506,211],"beta":{"interval_sums":[174134,167054,167644],"interval_residues":[84,84,84],"display_cycle":[84,84,84],"intervals":[{"from_index":281,"to_index":861,"sum":174134,"residue":84},{"from_index":861,"to_index":1441,"sum":167054,"residue":84},{"from_index":1441,"to_index":281,"sum":167644,"residue":84}],"minimal_cycle":[84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[281,861],"circle_positions":590,"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":[282,862,1442],"clock_positions":[282,862,1442],"native_values":[156,451,451],"rotation_degrees":58.3448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[156,451,451],"beta":{"interval_sums":[174484,166814,167404],"interval_residues":[434,434,434],"display_cycle":[434,434,434],"intervals":[{"from_index":282,"to_index":862,"sum":174484,"residue":434},{"from_index":862,"to_index":1442,"sum":166814,"residue":434},{"from_index":1442,"to_index":282,"sum":167404,"residue":434}],"minimal_cycle":[434],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[282,862],"circle_positions":590,"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":[283,863,1443],"clock_positions":[283,863,1443],"native_values":[367,367,72],"rotation_degrees":58.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[367,367,72],"beta":{"interval_sums":[174568,166898,167488],"interval_residues":[518,518,518],"display_cycle":[518,518,518],"intervals":[{"from_index":283,"to_index":863,"sum":174568,"residue":518},{"from_index":863,"to_index":1443,"sum":166898,"residue":518},{"from_index":1443,"to_index":283,"sum":167488,"residue":518}],"minimal_cycle":[518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[283,863],"circle_positions":590,"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":[284,864,1444],"clock_positions":[284,864,1444],"native_values":[523,228,523],"rotation_degrees":58.758620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,228,523],"beta":{"interval_sums":[174412,166742,167332],"interval_residues":[362,362,362],"display_cycle":[362,362,362],"intervals":[{"from_index":284,"to_index":864,"sum":174412,"residue":362},{"from_index":864,"to_index":1444,"sum":166742,"residue":362},{"from_index":1444,"to_index":284,"sum":167332,"residue":362}],"minimal_cycle":[362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[284,864],"circle_positions":590,"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":[285,865,1445],"clock_positions":[285,865,1445],"native_values":[300,5,5],"rotation_degrees":58.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,5,5],"beta":{"interval_sums":[174340,167260,167850],"interval_residues":[290,290,290],"display_cycle":[290,290,290],"intervals":[{"from_index":285,"to_index":865,"sum":174340,"residue":290},{"from_index":865,"to_index":1445,"sum":167260,"residue":290},{"from_index":1445,"to_index":285,"sum":167850,"residue":290}],"minimal_cycle":[290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[285,865],"circle_positions":590,"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":[286,866,1446],"clock_positions":[286,866,1446],"native_values":[233,233,528],"rotation_degrees":59.172413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,233,528],"beta":{"interval_sums":[174112,167032,167622],"interval_residues":[62,62,62],"display_cycle":[62,62,62],"intervals":[{"from_index":286,"to_index":866,"sum":174112,"residue":62},{"from_index":866,"to_index":1446,"sum":167032,"residue":62},{"from_index":1446,"to_index":286,"sum":167622,"residue":62}],"minimal_cycle":[62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[286,866],"circle_positions":590,"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":[287,867,1447],"clock_positions":[287,867,1447],"native_values":[533,238,533],"rotation_degrees":59.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[533,238,533],"beta":{"interval_sums":[173812,167322,167322],"interval_residues":[352,352,352],"display_cycle":[352,352,352],"intervals":[{"from_index":287,"to_index":867,"sum":173812,"residue":352},{"from_index":867,"to_index":1447,"sum":167322,"residue":352},{"from_index":1447,"to_index":287,"sum":167322,"residue":352}],"minimal_cycle":[352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[287,867],"circle_positions":590,"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":[288,868,1448],"clock_positions":[288,868,1448],"native_values":[176,471,471],"rotation_degrees":59.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[176,471,471],"beta":{"interval_sums":[173874,167384,167384],"interval_residues":[414,414,414],"display_cycle":[414,414,414],"intervals":[{"from_index":288,"to_index":868,"sum":173874,"residue":414},{"from_index":868,"to_index":1448,"sum":167384,"residue":414},{"from_index":1448,"to_index":288,"sum":167384,"residue":414}],"minimal_cycle":[414],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[288,868],"circle_positions":590,"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":[289,869,1449],"clock_positions":[289,869,1449],"native_values":[119,119,414],"rotation_degrees":59.793103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,119,414],"beta":{"interval_sums":[174226,167736,167146],"interval_residues":[176,176,176],"display_cycle":[176,176,176],"intervals":[{"from_index":289,"to_index":869,"sum":174226,"residue":176},{"from_index":869,"to_index":1449,"sum":167736,"residue":176},{"from_index":1449,"to_index":289,"sum":167146,"residue":176}],"minimal_cycle":[176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[289,869],"circle_positions":590,"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":[290,870,1450],"clock_positions":[290,870,1450],"native_values":[295,590,295],"rotation_degrees":60.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,590,295],"beta":{"interval_sums":[174050,168150,166970],"interval_residues":[0,0,0],"display_cycle":[590,590,590],"intervals":[{"from_index":290,"to_index":870,"sum":174050,"residue":0},{"from_index":870,"to_index":1450,"sum":168150,"residue":0},{"from_index":1450,"to_index":290,"sum":166970,"residue":0}],"minimal_cycle":[0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":590,"start_interval_clock_positions":[290,870],"circle_positions":590,"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":[291,871,1451],"clock_positions":[291,871,1451],"native_values":[414,119,119],"rotation_degrees":60.206896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[414,119,119],"beta":{"interval_sums":[173636,168326,167146],"interval_residues":[176,176,176],"display_cycle":[176,176,176],"intervals":[{"from_index":291,"to_index":871,"sum":173636,"residue":176},{"from_index":871,"to_index":1451,"sum":168326,"residue":176},{"from_index":1451,"to_index":291,"sum":167146,"residue":176}],"minimal_cycle":[176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[291,871],"circle_positions":590,"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":[292,872,1452],"clock_positions":[292,872,1452],"native_values":[119,119,414],"rotation_degrees":60.41379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,119,414],"beta":{"interval_sums":[173636,168326,167146],"interval_residues":[176,176,176],"display_cycle":[176,176,176],"intervals":[{"from_index":292,"to_index":872,"sum":173636,"residue":176},{"from_index":872,"to_index":1452,"sum":168326,"residue":176},{"from_index":1452,"to_index":292,"sum":167146,"residue":176}],"minimal_cycle":[176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[292,872],"circle_positions":590,"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":[293,873,1453],"clock_positions":[293,873,1453],"native_values":[533,238,533],"rotation_degrees":60.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[533,238,533],"beta":{"interval_sums":[173222,168502,166732],"interval_residues":[352,352,352],"display_cycle":[352,352,352],"intervals":[{"from_index":293,"to_index":873,"sum":173222,"residue":352},{"from_index":873,"to_index":1453,"sum":168502,"residue":352},{"from_index":1453,"to_index":293,"sum":166732,"residue":352}],"minimal_cycle":[352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[293,873],"circle_positions":590,"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":[294,874,1454],"clock_positions":[294,874,1454],"native_values":[62,357,357],"rotation_degrees":60.827586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[62,357,357],"beta":{"interval_sums":[173398,168678,166908],"interval_residues":[528,528,528],"display_cycle":[528,528,528],"intervals":[{"from_index":294,"to_index":874,"sum":173398,"residue":528},{"from_index":874,"to_index":1454,"sum":168678,"residue":528},{"from_index":1454,"to_index":294,"sum":166908,"residue":528}],"minimal_cycle":[528],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":528,"start_interval_clock_positions":[294,874],"circle_positions":590,"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":[295,875,1455],"clock_positions":[295,875,1455],"native_values":[5,5,300],"rotation_degrees":61.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,5,300],"beta":{"interval_sums":[173750,169030,166670],"interval_residues":[290,290,290],"display_cycle":[290,290,290],"intervals":[{"from_index":295,"to_index":875,"sum":173750,"residue":290},{"from_index":875,"to_index":1455,"sum":169030,"residue":290},{"from_index":1455,"to_index":295,"sum":166670,"residue":290}],"minimal_cycle":[290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[295,875],"circle_positions":590,"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":[296,876,1456],"clock_positions":[296,876,1456],"native_values":[67,362,67],"rotation_degrees":61.241379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[67,362,67],"beta":{"interval_sums":[173688,168968,166608],"interval_residues":[228,228,228],"display_cycle":[228,228,228],"intervals":[{"from_index":296,"to_index":876,"sum":173688,"residue":228},{"from_index":876,"to_index":1456,"sum":168968,"residue":228},{"from_index":1456,"to_index":296,"sum":166608,"residue":228}],"minimal_cycle":[228],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[296,876],"circle_positions":590,"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":[297,877,1457],"clock_positions":[297,877,1457],"native_values":[72,367,367],"rotation_degrees":61.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[72,367,367],"beta":{"interval_sums":[173978,168668,166308],"interval_residues":[518,518,518],"display_cycle":[518,518,518],"intervals":[{"from_index":297,"to_index":877,"sum":173978,"residue":518},{"from_index":877,"to_index":1457,"sum":168668,"residue":518},{"from_index":1457,"to_index":297,"sum":166308,"residue":518}],"minimal_cycle":[518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[297,877],"circle_positions":590,"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":[298,878,1458],"clock_positions":[298,878,1458],"native_values":[139,139,434],"rotation_degrees":61.6551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[139,139,434],"beta":{"interval_sums":[174206,168896,165946],"interval_residues":[156,156,156],"display_cycle":[156,156,156],"intervals":[{"from_index":298,"to_index":878,"sum":174206,"residue":156},{"from_index":878,"to_index":1458,"sum":168896,"residue":156},{"from_index":1458,"to_index":298,"sum":165946,"residue":156}],"minimal_cycle":[156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[298,878],"circle_positions":590,"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":[299,879,1459],"clock_positions":[299,879,1459],"native_values":[211,506,211],"rotation_degrees":61.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,506,211],"beta":{"interval_sums":[174134,168824,165874],"interval_residues":[84,84,84],"display_cycle":[84,84,84],"intervals":[{"from_index":299,"to_index":879,"sum":174134,"residue":84},{"from_index":879,"to_index":1459,"sum":168824,"residue":84},{"from_index":1459,"to_index":299,"sum":165874,"residue":84}],"minimal_cycle":[84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[299,879],"circle_positions":590,"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":[300,880,1460],"clock_positions":[300,880,1460],"native_values":[350,55,55],"rotation_degrees":62.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[350,55,55],"beta":{"interval_sums":[174290,168980,166030],"interval_residues":[240,240,240],"display_cycle":[240,240,240],"intervals":[{"from_index":300,"to_index":880,"sum":174290,"residue":240},{"from_index":880,"to_index":1460,"sum":168980,"residue":240},{"from_index":1460,"to_index":300,"sum":166030,"residue":240}],"minimal_cycle":[240],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[300,880],"circle_positions":590,"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":[301,881,1461],"clock_positions":[301,881,1461],"native_values":[561,561,266],"rotation_degrees":62.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,561,266],"beta":{"interval_sums":[173784,168474,166114],"interval_residues":[324,324,324],"display_cycle":[324,324,324],"intervals":[{"from_index":301,"to_index":881,"sum":173784,"residue":324},{"from_index":881,"to_index":1461,"sum":168474,"residue":324},{"from_index":1461,"to_index":301,"sum":166114,"residue":324}],"minimal_cycle":[324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[301,881],"circle_positions":590,"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":[302,882,1462],"clock_positions":[302,882,1462],"native_values":[321,26,321],"rotation_degrees":62.48275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[321,26,321],"beta":{"interval_sums":[174024,168714,166354],"interval_residues":[564,564,564],"display_cycle":[564,564,564],"intervals":[{"from_index":302,"to_index":882,"sum":174024,"residue":564},{"from_index":882,"to_index":1462,"sum":168714,"residue":564},{"from_index":1462,"to_index":302,"sum":166354,"residue":564}],"minimal_cycle":[564],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":564,"start_interval_clock_positions":[302,882],"circle_positions":590,"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":[303,883,1463],"clock_positions":[303,883,1463],"native_values":[292,587,587],"rotation_degrees":62.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,587,587],"beta":{"interval_sums":[173758,168448,166088],"interval_residues":[298,298,298],"display_cycle":[298,298,298],"intervals":[{"from_index":303,"to_index":883,"sum":173758,"residue":298},{"from_index":883,"to_index":1463,"sum":168448,"residue":298},{"from_index":1463,"to_index":303,"sum":166088,"residue":298}],"minimal_cycle":[298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[303,883],"circle_positions":590,"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":[304,884,1464],"clock_positions":[304,884,1464],"native_values":[23,23,318],"rotation_degrees":62.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[23,23,318],"beta":{"interval_sums":[174322,169012,166062],"interval_residues":[272,272,272],"display_cycle":[272,272,272],"intervals":[{"from_index":304,"to_index":884,"sum":174322,"residue":272},{"from_index":884,"to_index":1464,"sum":169012,"residue":272},{"from_index":1464,"to_index":304,"sum":166062,"residue":272}],"minimal_cycle":[272],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":272,"start_interval_clock_positions":[304,884],"circle_positions":590,"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":[305,885,1465],"clock_positions":[305,885,1465],"native_values":[315,20,315],"rotation_degrees":63.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[315,20,315],"beta":{"interval_sums":[174030,169310,165770],"interval_residues":[570,570,570],"display_cycle":[570,570,570],"intervals":[{"from_index":305,"to_index":885,"sum":174030,"residue":570},{"from_index":885,"to_index":1465,"sum":169310,"residue":570},{"from_index":1465,"to_index":305,"sum":165770,"residue":570}],"minimal_cycle":[570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[305,885],"circle_positions":590,"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":[306,886,1466],"clock_positions":[306,886,1466],"native_values":[338,43,43],"rotation_degrees":63.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[338,43,43],"beta":{"interval_sums":[173712,169582,166042],"interval_residues":[252,252,252],"display_cycle":[252,252,252],"intervals":[{"from_index":306,"to_index":886,"sum":173712,"residue":252},{"from_index":886,"to_index":1466,"sum":169582,"residue":252},{"from_index":1466,"to_index":306,"sum":166042,"residue":252}],"minimal_cycle":[252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":252,"start_interval_clock_positions":[306,886],"circle_positions":590,"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":[307,887,1467],"clock_positions":[307,887,1467],"native_values":[63,63,358],"rotation_degrees":63.51724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[63,63,358],"beta":{"interval_sums":[173692,169562,166022],"interval_residues":[232,232,232],"display_cycle":[232,232,232],"intervals":[{"from_index":307,"to_index":887,"sum":173692,"residue":232},{"from_index":887,"to_index":1467,"sum":169562,"residue":232},{"from_index":1467,"to_index":307,"sum":166022,"residue":232}],"minimal_cycle":[232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[307,887],"circle_positions":590,"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":[308,888,1468],"clock_positions":[308,888,1468],"native_values":[401,106,401],"rotation_degrees":63.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[401,106,401],"beta":{"interval_sums":[173354,169814,165684],"interval_residues":[484,484,484],"display_cycle":[484,484,484],"intervals":[{"from_index":308,"to_index":888,"sum":173354,"residue":484},{"from_index":888,"to_index":1468,"sum":169814,"residue":484},{"from_index":1468,"to_index":308,"sum":165684,"residue":484}],"minimal_cycle":[484],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":484,"start_interval_clock_positions":[308,888],"circle_positions":590,"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":[309,889,1469],"clock_positions":[309,889,1469],"native_values":[464,169,169],"rotation_degrees":63.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[464,169,169],"beta":{"interval_sums":[172996,170046,165916],"interval_residues":[126,126,126],"display_cycle":[126,126,126],"intervals":[{"from_index":309,"to_index":889,"sum":172996,"residue":126},{"from_index":889,"to_index":1469,"sum":170046,"residue":126},{"from_index":1469,"to_index":309,"sum":165916,"residue":126}],"minimal_cycle":[126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[309,889],"circle_positions":590,"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":[310,890,1470],"clock_positions":[310,890,1470],"native_values":[275,275,570],"rotation_degrees":64.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[275,275,570],"beta":{"interval_sums":[172890,169940,165810],"interval_residues":[20,20,20],"display_cycle":[20,20,20],"intervals":[{"from_index":310,"to_index":890,"sum":172890,"residue":20},{"from_index":890,"to_index":1470,"sum":169940,"residue":20},{"from_index":1470,"to_index":310,"sum":165810,"residue":20}],"minimal_cycle":[20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":20,"start_interval_clock_positions":[310,890],"circle_positions":590,"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":[311,891,1471],"clock_positions":[311,891,1471],"native_values":[149,444,149],"rotation_degrees":64.34482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,444,149],"beta":{"interval_sums":[173016,170066,165936],"interval_residues":[146,146,146],"display_cycle":[146,146,146],"intervals":[{"from_index":311,"to_index":891,"sum":173016,"residue":146},{"from_index":891,"to_index":1471,"sum":170066,"residue":146},{"from_index":1471,"to_index":311,"sum":165936,"residue":146}],"minimal_cycle":[146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[311,891],"circle_positions":590,"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":[312,892,1472],"clock_positions":[312,892,1472],"native_values":[424,129,129],"rotation_degrees":64.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[424,129,129],"beta":{"interval_sums":[173036,170086,165956],"interval_residues":[166,166,166],"display_cycle":[166,166,166],"intervals":[{"from_index":312,"to_index":892,"sum":173036,"residue":166},{"from_index":892,"to_index":1472,"sum":170086,"residue":166},{"from_index":1472,"to_index":312,"sum":165956,"residue":166}],"minimal_cycle":[166],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":166,"start_interval_clock_positions":[312,892],"circle_positions":590,"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":[313,893,1473],"clock_positions":[313,893,1473],"native_values":[573,573,278],"rotation_degrees":64.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,573,278],"beta":{"interval_sums":[172592,169642,166102],"interval_residues":[312,312,312],"display_cycle":[312,312,312],"intervals":[{"from_index":313,"to_index":893,"sum":172592,"residue":312},{"from_index":893,"to_index":1473,"sum":169642,"residue":312},{"from_index":1473,"to_index":313,"sum":166102,"residue":312}],"minimal_cycle":[312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[313,893],"circle_positions":590,"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":[314,894,1474],"clock_positions":[314,894,1474],"native_values":[407,112,407],"rotation_degrees":64.96551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[407,112,407],"beta":{"interval_sums":[172758,169808,166268],"interval_residues":[478,478,478],"display_cycle":[478,478,478],"intervals":[{"from_index":314,"to_index":894,"sum":172758,"residue":478},{"from_index":894,"to_index":1474,"sum":169808,"residue":478},{"from_index":1474,"to_index":314,"sum":166268,"residue":478}],"minimal_cycle":[478],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":478,"start_interval_clock_positions":[314,894],"circle_positions":590,"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":[315,895,1475],"clock_positions":[315,895,1475],"native_values":[390,95,95],"rotation_degrees":65.17241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[390,95,95],"beta":{"interval_sums":[172480,170120,166580],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":315,"to_index":895,"sum":172480,"residue":200},{"from_index":895,"to_index":1475,"sum":170120,"residue":200},{"from_index":1475,"to_index":315,"sum":166580,"residue":200}],"minimal_cycle":[200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[315,895],"circle_positions":590,"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":[316,896,1476],"clock_positions":[316,896,1476],"native_values":[207,207,502],"rotation_degrees":65.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[207,207,502],"beta":{"interval_sums":[172368,170008,166468],"interval_residues":[88,88,88],"display_cycle":[88,88,88],"intervals":[{"from_index":316,"to_index":896,"sum":172368,"residue":88},{"from_index":896,"to_index":1476,"sum":170008,"residue":88},{"from_index":1476,"to_index":316,"sum":166468,"residue":88}],"minimal_cycle":[88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[316,896],"circle_positions":590,"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":[317,897,1477],"clock_positions":[317,897,1477],"native_values":[7,302,7],"rotation_degrees":65.58620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[7,302,7],"beta":{"interval_sums":[172568,170208,166668],"interval_residues":[288,288,288],"display_cycle":[288,288,288],"intervals":[{"from_index":317,"to_index":897,"sum":172568,"residue":288},{"from_index":897,"to_index":1477,"sum":170208,"residue":288},{"from_index":1477,"to_index":317,"sum":166668,"residue":288}],"minimal_cycle":[288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[317,897],"circle_positions":590,"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":[318,898,1478],"clock_positions":[318,898,1478],"native_values":[214,509,509],"rotation_degrees":65.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[214,509,509],"beta":{"interval_sums":[172656,169706,166166],"interval_residues":[376,376,376],"display_cycle":[376,376,376],"intervals":[{"from_index":318,"to_index":898,"sum":172656,"residue":376},{"from_index":898,"to_index":1478,"sum":169706,"residue":376},{"from_index":1478,"to_index":318,"sum":166166,"residue":376}],"minimal_cycle":[376],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":376,"start_interval_clock_positions":[318,898],"circle_positions":590,"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":[319,899,1479],"clock_positions":[319,899,1479],"native_values":[221,221,516],"rotation_degrees":66.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,221,516],"beta":{"interval_sums":[172944,169994,165864],"interval_residues":[74,74,74],"display_cycle":[74,74,74],"intervals":[{"from_index":319,"to_index":899,"sum":172944,"residue":74},{"from_index":899,"to_index":1479,"sum":169994,"residue":74},{"from_index":1479,"to_index":319,"sum":165864,"residue":74}],"minimal_cycle":[74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[319,899],"circle_positions":590,"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":[320,900,1480],"clock_positions":[320,900,1480],"native_values":[435,140,435],"rotation_degrees":66.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[435,140,435],"beta":{"interval_sums":[172730,170370,165650],"interval_residues":[450,450,450],"display_cycle":[450,450,450],"intervals":[{"from_index":320,"to_index":900,"sum":172730,"residue":450},{"from_index":900,"to_index":1480,"sum":170370,"residue":450},{"from_index":1480,"to_index":320,"sum":165650,"residue":450}],"minimal_cycle":[450],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":450,"start_interval_clock_positions":[320,900],"circle_positions":590,"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":[321,901,1481],"clock_positions":[321,901,1481],"native_values":[66,361,361],"rotation_degrees":66.41379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[66,361,361],"beta":{"interval_sums":[172804,170444,165724],"interval_residues":[524,524,524],"display_cycle":[524,524,524],"intervals":[{"from_index":321,"to_index":901,"sum":172804,"residue":524},{"from_index":901,"to_index":1481,"sum":170444,"residue":524},{"from_index":1481,"to_index":321,"sum":165724,"residue":524}],"minimal_cycle":[524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[321,901],"circle_positions":590,"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":[322,902,1482],"clock_positions":[322,902,1482],"native_values":[501,501,206],"rotation_degrees":66.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[501,501,206],"beta":{"interval_sums":[172664,170304,165584],"interval_residues":[384,384,384],"display_cycle":[384,384,384],"intervals":[{"from_index":322,"to_index":902,"sum":172664,"residue":384},{"from_index":902,"to_index":1482,"sum":170304,"residue":384},{"from_index":1482,"to_index":322,"sum":165584,"residue":384}],"minimal_cycle":[384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[322,902],"circle_positions":590,"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":[323,903,1483],"clock_positions":[323,903,1483],"native_values":[567,272,567],"rotation_degrees":66.82758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,272,567],"beta":{"interval_sums":[172598,170238,165518],"interval_residues":[318,318,318],"display_cycle":[318,318,318],"intervals":[{"from_index":323,"to_index":903,"sum":172598,"residue":318},{"from_index":903,"to_index":1483,"sum":170238,"residue":318},{"from_index":1483,"to_index":323,"sum":165518,"residue":318}],"minimal_cycle":[318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":318,"start_interval_clock_positions":[323,903],"circle_positions":590,"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":[324,904,1484],"clock_positions":[324,904,1484],"native_values":[478,183,183],"rotation_degrees":67.03448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[478,183,183],"beta":{"interval_sums":[172392,170622,165902],"interval_residues":[112,112,112],"display_cycle":[112,112,112],"intervals":[{"from_index":324,"to_index":904,"sum":172392,"residue":112},{"from_index":904,"to_index":1484,"sum":170622,"residue":112},{"from_index":1484,"to_index":324,"sum":165902,"residue":112}],"minimal_cycle":[112],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":112,"start_interval_clock_positions":[324,904],"circle_positions":590,"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":[325,905,1485],"clock_positions":[325,905,1485],"native_values":[455,455,160],"rotation_degrees":67.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[455,455,160],"beta":{"interval_sums":[172120,170350,166220],"interval_residues":[430,430,430],"display_cycle":[430,430,430],"intervals":[{"from_index":325,"to_index":905,"sum":172120,"residue":430},{"from_index":905,"to_index":1485,"sum":170350,"residue":430},{"from_index":1485,"to_index":325,"sum":166220,"residue":430}],"minimal_cycle":[430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[325,905],"circle_positions":590,"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":[326,906,1486],"clock_positions":[326,906,1486],"native_values":[343,48,343],"rotation_degrees":67.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,48,343],"beta":{"interval_sums":[172232,170462,166332],"interval_residues":[542,542,542],"display_cycle":[542,542,542],"intervals":[{"from_index":326,"to_index":906,"sum":172232,"residue":542},{"from_index":906,"to_index":1486,"sum":170462,"residue":542},{"from_index":1486,"to_index":326,"sum":166332,"residue":542}],"minimal_cycle":[542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[326,906],"circle_positions":590,"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":[327,907,1487],"clock_positions":[327,907,1487],"native_values":[208,503,503],"rotation_degrees":67.65517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[208,503,503],"beta":{"interval_sums":[172072,170302,166172],"interval_residues":[382,382,382],"display_cycle":[382,382,382],"intervals":[{"from_index":327,"to_index":907,"sum":172072,"residue":382},{"from_index":907,"to_index":1487,"sum":170302,"residue":382},{"from_index":1487,"to_index":327,"sum":166172,"residue":382}],"minimal_cycle":[382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[327,907],"circle_positions":590,"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":[328,908,1488],"clock_positions":[328,908,1488],"native_values":[551,551,256],"rotation_degrees":67.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,551,256],"beta":{"interval_sums":[172024,170254,166124],"interval_residues":[334,334,334],"display_cycle":[334,334,334],"intervals":[{"from_index":328,"to_index":908,"sum":172024,"residue":334},{"from_index":908,"to_index":1488,"sum":170254,"residue":334},{"from_index":1488,"to_index":328,"sum":166124,"residue":334}],"minimal_cycle":[334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[328,908],"circle_positions":590,"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":[329,909,1489],"clock_positions":[329,909,1489],"native_values":[169,464,169],"rotation_degrees":68.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,464,169],"beta":{"interval_sums":[172406,170046,166506],"interval_residues":[126,126,126],"display_cycle":[126,126,126],"intervals":[{"from_index":329,"to_index":909,"sum":172406,"residue":126},{"from_index":909,"to_index":1489,"sum":170046,"residue":126},{"from_index":1489,"to_index":329,"sum":166506,"residue":126}],"minimal_cycle":[126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[329,909],"circle_positions":590,"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":[330,910,1490],"clock_positions":[330,910,1490],"native_values":[130,425,425],"rotation_degrees":68.27586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[130,425,425],"beta":{"interval_sums":[172740,169790,166250],"interval_residues":[460,460,460],"display_cycle":[460,460,460],"intervals":[{"from_index":330,"to_index":910,"sum":172740,"residue":460},{"from_index":910,"to_index":1490,"sum":169790,"residue":460},{"from_index":1490,"to_index":330,"sum":166250,"residue":460}],"minimal_cycle":[460],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":460,"start_interval_clock_positions":[330,910],"circle_positions":590,"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":[331,911,1491],"clock_positions":[331,911,1491],"native_values":[299,299,4],"rotation_degrees":68.48275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,299,4],"beta":{"interval_sums":[172866,169916,166376],"interval_residues":[586,586,586],"display_cycle":[586,586,586],"intervals":[{"from_index":331,"to_index":911,"sum":172866,"residue":586},{"from_index":911,"to_index":1491,"sum":169916,"residue":586},{"from_index":1491,"to_index":331,"sum":166376,"residue":586}],"minimal_cycle":[586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[331,911],"circle_positions":590,"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":[332,912,1492],"clock_positions":[332,912,1492],"native_values":[429,134,429],"rotation_degrees":68.6896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,134,429],"beta":{"interval_sums":[172736,169786,166246],"interval_residues":[456,456,456],"display_cycle":[456,456,456],"intervals":[{"from_index":332,"to_index":912,"sum":172736,"residue":456},{"from_index":912,"to_index":1492,"sum":169786,"residue":456},{"from_index":1492,"to_index":332,"sum":166246,"residue":456}],"minimal_cycle":[456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[332,912],"circle_positions":590,"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":[333,913,1493],"clock_positions":[333,913,1493],"native_values":[138,433,433],"rotation_degrees":68.89655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[138,433,433],"beta":{"interval_sums":[172732,169782,166242],"interval_residues":[452,452,452],"display_cycle":[452,452,452],"intervals":[{"from_index":333,"to_index":913,"sum":172732,"residue":452},{"from_index":913,"to_index":1493,"sum":169782,"residue":452},{"from_index":1493,"to_index":333,"sum":166242,"residue":452}],"minimal_cycle":[452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[333,913],"circle_positions":590,"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":[334,914,1494],"clock_positions":[334,914,1494],"native_values":[567,567,272],"rotation_degrees":69.10344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,567,272],"beta":{"interval_sums":[172598,169648,166108],"interval_residues":[318,318,318],"display_cycle":[318,318,318],"intervals":[{"from_index":334,"to_index":914,"sum":172598,"residue":318},{"from_index":914,"to_index":1494,"sum":169648,"residue":318},{"from_index":1494,"to_index":334,"sum":166108,"residue":318}],"minimal_cycle":[318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":318,"start_interval_clock_positions":[334,914],"circle_positions":590,"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":[335,915,1495],"clock_positions":[335,915,1495],"native_values":[115,410,115],"rotation_degrees":69.3103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,410,115],"beta":{"interval_sums":[173050,169510,166560],"interval_residues":[180,180,180],"display_cycle":[180,180,180],"intervals":[{"from_index":335,"to_index":915,"sum":173050,"residue":180},{"from_index":915,"to_index":1495,"sum":169510,"residue":180},{"from_index":1495,"to_index":335,"sum":166560,"residue":180}],"minimal_cycle":[180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[335,915],"circle_positions":590,"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":[336,916,1496],"clock_positions":[336,916,1496],"native_values":[92,387,387],"rotation_degrees":69.51724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[92,387,387],"beta":{"interval_sums":[173368,169238,166288],"interval_residues":[498,498,498],"display_cycle":[498,498,498],"intervals":[{"from_index":336,"to_index":916,"sum":173368,"residue":498},{"from_index":916,"to_index":1496,"sum":169238,"residue":498},{"from_index":1496,"to_index":336,"sum":166288,"residue":498}],"minimal_cycle":[498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[336,916],"circle_positions":590,"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":[337,917,1497],"clock_positions":[337,917,1497],"native_values":[207,207,502],"rotation_degrees":69.72413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[207,207,502],"beta":{"interval_sums":[173548,169418,165878],"interval_residues":[88,88,88],"display_cycle":[88,88,88],"intervals":[{"from_index":337,"to_index":917,"sum":173548,"residue":88},{"from_index":917,"to_index":1497,"sum":169418,"residue":88},{"from_index":1497,"to_index":337,"sum":165878,"residue":88}],"minimal_cycle":[88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[337,917],"circle_positions":590,"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":[338,918,1498],"clock_positions":[338,918,1498],"native_values":[299,4,299],"rotation_degrees":69.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,4,299],"beta":{"interval_sums":[173456,169916,165786],"interval_residues":[586,586,586],"display_cycle":[586,586,586],"intervals":[{"from_index":338,"to_index":918,"sum":173456,"residue":586},{"from_index":918,"to_index":1498,"sum":169916,"residue":586},{"from_index":1498,"to_index":338,"sum":165786,"residue":586}],"minimal_cycle":[586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[338,918],"circle_positions":590,"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":[339,919,1499],"clock_positions":[339,919,1499],"native_values":[506,211,211],"rotation_degrees":70.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[506,211,211],"beta":{"interval_sums":[172954,170004,165874],"interval_residues":[84,84,84],"display_cycle":[84,84,84],"intervals":[{"from_index":339,"to_index":919,"sum":172954,"residue":84},{"from_index":919,"to_index":1499,"sum":170004,"residue":84},{"from_index":1499,"to_index":339,"sum":165874,"residue":84}],"minimal_cycle":[84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[339,919],"circle_positions":590,"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":[340,920,1500],"clock_positions":[340,920,1500],"native_values":[215,215,510],"rotation_degrees":70.34482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[215,215,510],"beta":{"interval_sums":[172950,170000,165870],"interval_residues":[80,80,80],"display_cycle":[80,80,80],"intervals":[{"from_index":340,"to_index":920,"sum":172950,"residue":80},{"from_index":920,"to_index":1500,"sum":170000,"residue":80},{"from_index":1500,"to_index":340,"sum":165870,"residue":80}],"minimal_cycle":[80],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[340,920],"circle_positions":590,"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":[341,921,1501],"clock_positions":[341,921,1501],"native_values":[131,426,131],"rotation_degrees":70.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,426,131],"beta":{"interval_sums":[173034,170084,165954],"interval_residues":[164,164,164],"display_cycle":[164,164,164],"intervals":[{"from_index":341,"to_index":921,"sum":173034,"residue":164},{"from_index":921,"to_index":1501,"sum":170084,"residue":164},{"from_index":1501,"to_index":341,"sum":165954,"residue":164}],"minimal_cycle":[164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[341,921],"circle_positions":590,"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":[342,922,1502],"clock_positions":[342,922,1502],"native_values":[346,51,51],"rotation_degrees":70.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[346,51,51],"beta":{"interval_sums":[173114,170164,166034],"interval_residues":[244,244,244],"display_cycle":[244,244,244],"intervals":[{"from_index":342,"to_index":922,"sum":173114,"residue":244},{"from_index":922,"to_index":1502,"sum":170164,"residue":244},{"from_index":1502,"to_index":342,"sum":166034,"residue":244}],"minimal_cycle":[244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[342,922],"circle_positions":590,"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":[343,923,1503],"clock_positions":[343,923,1503],"native_values":[477,477,182],"rotation_degrees":70.96551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,477,182],"beta":{"interval_sums":[172688,169738,166198],"interval_residues":[408,408,408],"display_cycle":[408,408,408],"intervals":[{"from_index":343,"to_index":923,"sum":172688,"residue":408},{"from_index":923,"to_index":1503,"sum":169738,"residue":408},{"from_index":1503,"to_index":343,"sum":166198,"residue":408}],"minimal_cycle":[408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[343,923],"circle_positions":590,"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":[344,924,1504],"clock_positions":[344,924,1504],"native_values":[233,528,233],"rotation_degrees":71.17241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,528,233],"beta":{"interval_sums":[172932,169392,166442],"interval_residues":[62,62,62],"display_cycle":[62,62,62],"intervals":[{"from_index":344,"to_index":924,"sum":172932,"residue":62},{"from_index":924,"to_index":1504,"sum":169392,"residue":62},{"from_index":1504,"to_index":344,"sum":166442,"residue":62}],"minimal_cycle":[62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[344,924],"circle_positions":590,"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":[345,925,1505],"clock_positions":[345,925,1505],"native_values":[120,415,415],"rotation_degrees":71.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[120,415,415],"beta":{"interval_sums":[173340,169210,166260],"interval_residues":[470,470,470],"display_cycle":[470,470,470],"intervals":[{"from_index":345,"to_index":925,"sum":173340,"residue":470},{"from_index":925,"to_index":1505,"sum":169210,"residue":470},{"from_index":1505,"to_index":345,"sum":166260,"residue":470}],"minimal_cycle":[470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[345,925],"circle_positions":590,"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":[346,926,1506],"clock_positions":[346,926,1506],"native_values":[353,353,58],"rotation_degrees":71.58620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[353,353,58],"beta":{"interval_sums":[173402,169272,166322],"interval_residues":[532,532,532],"display_cycle":[532,532,532],"intervals":[{"from_index":346,"to_index":926,"sum":173402,"residue":532},{"from_index":926,"to_index":1506,"sum":169272,"residue":532},{"from_index":1506,"to_index":346,"sum":166322,"residue":532}],"minimal_cycle":[532],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":532,"start_interval_clock_positions":[346,926],"circle_positions":590,"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":[347,927,1507],"clock_positions":[347,927,1507],"native_values":[473,178,473],"rotation_degrees":71.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,178,473],"beta":{"interval_sums":[173282,169152,166202],"interval_residues":[412,412,412],"display_cycle":[412,412,412],"intervals":[{"from_index":347,"to_index":927,"sum":173282,"residue":412},{"from_index":927,"to_index":1507,"sum":169152,"residue":412},{"from_index":1507,"to_index":347,"sum":166202,"residue":412}],"minimal_cycle":[412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[347,927],"circle_positions":590,"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":[348,928,1508],"clock_positions":[348,928,1508],"native_values":[236,531,531],"rotation_degrees":72.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[236,531,531],"beta":{"interval_sums":[173224,169094,166144],"interval_residues":[354,354,354],"display_cycle":[354,354,354],"intervals":[{"from_index":348,"to_index":928,"sum":173224,"residue":354},{"from_index":928,"to_index":1508,"sum":169094,"residue":354},{"from_index":1508,"to_index":348,"sum":166144,"residue":354}],"minimal_cycle":[354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":354,"start_interval_clock_positions":[348,928],"circle_positions":590,"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":[349,929,1509],"clock_positions":[349,929,1509],"native_values":[119,119,414],"rotation_degrees":72.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,119,414],"beta":{"interval_sums":[173636,169506,165966],"interval_residues":[176,176,176],"display_cycle":[176,176,176],"intervals":[{"from_index":349,"to_index":929,"sum":173636,"residue":176},{"from_index":929,"to_index":1509,"sum":169506,"residue":176},{"from_index":1509,"to_index":349,"sum":165966,"residue":176}],"minimal_cycle":[176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[349,929],"circle_positions":590,"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":[350,930,1510],"clock_positions":[350,930,1510],"native_values":[355,60,355],"rotation_degrees":72.41379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,60,355],"beta":{"interval_sums":[173400,169860,165730],"interval_residues":[530,530,530],"display_cycle":[530,530,530],"intervals":[{"from_index":350,"to_index":930,"sum":173400,"residue":530},{"from_index":930,"to_index":1510,"sum":169860,"residue":530},{"from_index":1510,"to_index":350,"sum":165730,"residue":530}],"minimal_cycle":[530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[350,930],"circle_positions":590,"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":[351,931,1511],"clock_positions":[351,931,1511],"native_values":[474,179,179],"rotation_degrees":72.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[474,179,179],"beta":{"interval_sums":[172986,170036,165906],"interval_residues":[116,116,116],"display_cycle":[116,116,116],"intervals":[{"from_index":351,"to_index":931,"sum":172986,"residue":116},{"from_index":931,"to_index":1511,"sum":170036,"residue":116},{"from_index":1511,"to_index":351,"sum":165906,"residue":116}],"minimal_cycle":[116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[351,931],"circle_positions":590,"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":[352,932,1512],"clock_positions":[352,932,1512],"native_values":[239,239,534],"rotation_degrees":72.82758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,239,534],"beta":{"interval_sums":[172926,169976,165846],"interval_residues":[56,56,56],"display_cycle":[56,56,56],"intervals":[{"from_index":352,"to_index":932,"sum":172926,"residue":56},{"from_index":932,"to_index":1512,"sum":169976,"residue":56},{"from_index":1512,"to_index":352,"sum":165846,"residue":56}],"minimal_cycle":[56],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":56,"start_interval_clock_positions":[352,932],"circle_positions":590,"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":[353,933,1513],"clock_positions":[353,933,1513],"native_values":[123,418,123],"rotation_degrees":73.03448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,418,123],"beta":{"interval_sums":[173042,170092,165962],"interval_residues":[172,172,172],"display_cycle":[172,172,172],"intervals":[{"from_index":353,"to_index":933,"sum":173042,"residue":172},{"from_index":933,"to_index":1513,"sum":170092,"residue":172},{"from_index":1513,"to_index":353,"sum":165962,"residue":172}],"minimal_cycle":[172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":172,"start_interval_clock_positions":[353,933],"circle_positions":590,"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":[354,934,1514],"clock_positions":[354,934,1514],"native_values":[362,67,67],"rotation_degrees":73.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[362,67,67],"beta":{"interval_sums":[173098,170148,166018],"interval_residues":[228,228,228],"display_cycle":[228,228,228],"intervals":[{"from_index":354,"to_index":934,"sum":173098,"residue":228},{"from_index":934,"to_index":1514,"sum":170148,"residue":228},{"from_index":1514,"to_index":354,"sum":166018,"residue":228}],"minimal_cycle":[228],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[354,934],"circle_positions":590,"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":[355,935,1515],"clock_positions":[355,935,1515],"native_values":[485,485,190],"rotation_degrees":73.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,485,190],"beta":{"interval_sums":[172680,169730,166190],"interval_residues":[400,400,400],"display_cycle":[400,400,400],"intervals":[{"from_index":355,"to_index":935,"sum":172680,"residue":400},{"from_index":935,"to_index":1515,"sum":169730,"residue":400},{"from_index":1515,"to_index":355,"sum":166190,"residue":400}],"minimal_cycle":[400],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":400,"start_interval_clock_positions":[355,935],"circle_positions":590,"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":[356,936,1516],"clock_positions":[356,936,1516],"native_values":[257,552,257],"rotation_degrees":73.65517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,552,257],"beta":{"interval_sums":[172908,169368,166418],"interval_residues":[38,38,38],"display_cycle":[38,38,38],"intervals":[{"from_index":356,"to_index":936,"sum":172908,"residue":38},{"from_index":936,"to_index":1516,"sum":169368,"residue":38},{"from_index":1516,"to_index":356,"sum":166418,"residue":38}],"minimal_cycle":[38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[356,936],"circle_positions":590,"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":[357,937,1517],"clock_positions":[357,937,1517],"native_values":[152,447,447],"rotation_degrees":73.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[152,447,447],"beta":{"interval_sums":[173308,169178,166228],"interval_residues":[438,438,438],"display_cycle":[438,438,438],"intervals":[{"from_index":357,"to_index":937,"sum":173308,"residue":438},{"from_index":937,"to_index":1517,"sum":169178,"residue":438},{"from_index":1517,"to_index":357,"sum":166228,"residue":438}],"minimal_cycle":[438],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":438,"start_interval_clock_positions":[357,937],"circle_positions":590,"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":[358,938,1518],"clock_positions":[358,938,1518],"native_values":[409,409,114],"rotation_degrees":74.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,409,114],"beta":{"interval_sums":[173346,169216,166266],"interval_residues":[476,476,476],"display_cycle":[476,476,476],"intervals":[{"from_index":358,"to_index":938,"sum":173346,"residue":476},{"from_index":938,"to_index":1518,"sum":169216,"residue":476},{"from_index":1518,"to_index":358,"sum":166266,"residue":476}],"minimal_cycle":[476],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":476,"start_interval_clock_positions":[358,938],"circle_positions":590,"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":[359,939,1519],"clock_positions":[359,939,1519],"native_values":[561,266,561],"rotation_degrees":74.27586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,266,561],"beta":{"interval_sums":[173194,169064,166114],"interval_residues":[324,324,324],"display_cycle":[324,324,324],"intervals":[{"from_index":359,"to_index":939,"sum":173194,"residue":324},{"from_index":939,"to_index":1519,"sum":169064,"residue":324},{"from_index":1519,"to_index":359,"sum":166114,"residue":324}],"minimal_cycle":[324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[359,939],"circle_positions":590,"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":[360,940,1520],"clock_positions":[360,940,1520],"native_values":[380,85,85],"rotation_degrees":74.48275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[380,85,85],"beta":{"interval_sums":[173080,169540,166590],"interval_residues":[210,210,210],"display_cycle":[210,210,210],"intervals":[{"from_index":360,"to_index":940,"sum":173080,"residue":210},{"from_index":940,"to_index":1520,"sum":169540,"residue":210},{"from_index":1520,"to_index":360,"sum":166590,"residue":210}],"minimal_cycle":[210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[360,940],"circle_positions":590,"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":[361,941,1521],"clock_positions":[361,941,1521],"native_values":[351,351,56],"rotation_degrees":74.6896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,351,56],"beta":{"interval_sums":[172814,169274,166914],"interval_residues":[534,534,534],"display_cycle":[534,534,534],"intervals":[{"from_index":361,"to_index":941,"sum":172814,"residue":534},{"from_index":941,"to_index":1521,"sum":169274,"residue":534},{"from_index":1521,"to_index":361,"sum":166914,"residue":534}],"minimal_cycle":[534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[361,941],"circle_positions":590,"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":[362,942,1522],"clock_positions":[362,942,1522],"native_values":[141,436,141],"rotation_degrees":74.89655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,436,141],"beta":{"interval_sums":[173024,168894,167124],"interval_residues":[154,154,154],"display_cycle":[154,154,154],"intervals":[{"from_index":362,"to_index":942,"sum":173024,"residue":154},{"from_index":942,"to_index":1522,"sum":168894,"residue":154},{"from_index":1522,"to_index":362,"sum":167124,"residue":154}],"minimal_cycle":[154],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":154,"start_interval_clock_positions":[362,942],"circle_positions":590,"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":[363,943,1523],"clock_positions":[363,943,1523],"native_values":[492,197,197],"rotation_degrees":75.10344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,197,197],"beta":{"interval_sums":[172968,168838,167068],"interval_residues":[98,98,98],"display_cycle":[98,98,98],"intervals":[{"from_index":363,"to_index":943,"sum":172968,"residue":98},{"from_index":943,"to_index":1523,"sum":168838,"residue":98},{"from_index":1523,"to_index":363,"sum":167068,"residue":98}],"minimal_cycle":[98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":98,"start_interval_clock_positions":[363,943],"circle_positions":590,"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":[364,944,1524],"clock_positions":[364,944,1524],"native_values":[43,43,338],"rotation_degrees":75.3103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[43,43,338],"beta":{"interval_sums":[173122,168992,167222],"interval_residues":[252,252,252],"display_cycle":[252,252,252],"intervals":[{"from_index":364,"to_index":944,"sum":173122,"residue":252},{"from_index":944,"to_index":1524,"sum":168992,"residue":252},{"from_index":1524,"to_index":364,"sum":167222,"residue":252}],"minimal_cycle":[252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":252,"start_interval_clock_positions":[364,944],"circle_positions":590,"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":[365,945,1525],"clock_positions":[365,945,1525],"native_values":[535,240,535],"rotation_degrees":75.51724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[535,240,535],"beta":{"interval_sums":[172630,169090,166730],"interval_residues":[350,350,350],"display_cycle":[350,350,350],"intervals":[{"from_index":365,"to_index":945,"sum":172630,"residue":350},{"from_index":945,"to_index":1525,"sum":169090,"residue":350},{"from_index":1525,"to_index":365,"sum":166730,"residue":350}],"minimal_cycle":[350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[365,945],"circle_positions":590,"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":[366,946,1526],"clock_positions":[366,946,1526],"native_values":[578,283,283],"rotation_degrees":75.72413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[578,283,283],"beta":{"interval_sums":[172292,169342,166982],"interval_residues":[12,12,12],"display_cycle":[12,12,12],"intervals":[{"from_index":366,"to_index":946,"sum":172292,"residue":12},{"from_index":946,"to_index":1526,"sum":169342,"residue":12},{"from_index":1526,"to_index":366,"sum":166982,"residue":12}],"minimal_cycle":[12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":12,"start_interval_clock_positions":[366,946],"circle_positions":590,"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":[367,947,1527],"clock_positions":[367,947,1527],"native_values":[523,523,228],"rotation_degrees":75.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,523,228],"beta":{"interval_sums":[172052,169102,167332],"interval_residues":[362,362,362],"display_cycle":[362,362,362],"intervals":[{"from_index":367,"to_index":947,"sum":172052,"residue":362},{"from_index":947,"to_index":1527,"sum":169102,"residue":362},{"from_index":1527,"to_index":367,"sum":167332,"residue":362}],"minimal_cycle":[362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[367,947],"circle_positions":590,"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":[368,948,1528],"clock_positions":[368,948,1528],"native_values":[511,216,511],"rotation_degrees":76.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[511,216,511],"beta":{"interval_sums":[172064,169114,167344],"interval_residues":[374,374,374],"display_cycle":[374,374,374],"intervals":[{"from_index":368,"to_index":948,"sum":172064,"residue":374},{"from_index":948,"to_index":1528,"sum":169114,"residue":374},{"from_index":1528,"to_index":368,"sum":167344,"residue":374}],"minimal_cycle":[374],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":374,"start_interval_clock_positions":[368,948],"circle_positions":590,"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":[369,949,1529],"clock_positions":[369,949,1529],"native_values":[444,149,149],"rotation_degrees":76.34482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[444,149,149],"beta":{"interval_sums":[171836,169476,167706],"interval_residues":[146,146,146],"display_cycle":[146,146,146],"intervals":[{"from_index":369,"to_index":949,"sum":171836,"residue":146},{"from_index":949,"to_index":1529,"sum":169476,"residue":146},{"from_index":1529,"to_index":369,"sum":167706,"residue":146}],"minimal_cycle":[146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[369,949],"circle_positions":590,"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":[370,950,1530],"clock_positions":[370,950,1530],"native_values":[365,365,70],"rotation_degrees":76.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[365,365,70],"beta":{"interval_sums":[171620,169260,168080],"interval_residues":[520,520,520],"display_cycle":[520,520,520],"intervals":[{"from_index":370,"to_index":950,"sum":171620,"residue":520},{"from_index":950,"to_index":1530,"sum":169260,"residue":520},{"from_index":1530,"to_index":370,"sum":168080,"residue":520}],"minimal_cycle":[520],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":520,"start_interval_clock_positions":[370,950],"circle_positions":590,"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":[371,951,1531],"clock_positions":[371,951,1531],"native_values":[219,514,219],"rotation_degrees":76.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,514,219],"beta":{"interval_sums":[171766,168816,168226],"interval_residues":[76,76,76],"display_cycle":[76,76,76],"intervals":[{"from_index":371,"to_index":951,"sum":171766,"residue":76},{"from_index":951,"to_index":1531,"sum":168816,"residue":76},{"from_index":1531,"to_index":371,"sum":168226,"residue":76}],"minimal_cycle":[76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[371,951],"circle_positions":590,"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":[372,952,1532],"clock_positions":[372,952,1532],"native_values":[584,289,289],"rotation_degrees":76.96551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[584,289,289],"beta":{"interval_sums":[171696,168746,168156],"interval_residues":[6,6,6],"display_cycle":[6,6,6],"intervals":[{"from_index":372,"to_index":952,"sum":171696,"residue":6},{"from_index":952,"to_index":1532,"sum":168746,"residue":6},{"from_index":1532,"to_index":372,"sum":168156,"residue":6}],"minimal_cycle":[6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[372,952],"circle_positions":590,"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":[373,953,1533],"clock_positions":[373,953,1533],"native_values":[213,213,508],"rotation_degrees":77.17241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,213,508],"beta":{"interval_sums":[171772,168822,168232],"interval_residues":[82,82,82],"display_cycle":[82,82,82],"intervals":[{"from_index":373,"to_index":953,"sum":171772,"residue":82},{"from_index":953,"to_index":1533,"sum":168822,"residue":82},{"from_index":1533,"to_index":373,"sum":168232,"residue":82}],"minimal_cycle":[82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[373,953],"circle_positions":590,"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":[374,954,1534],"clock_positions":[374,954,1534],"native_values":[207,502,207],"rotation_degrees":77.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[207,502,207],"beta":{"interval_sums":[171778,168828,168238],"interval_residues":[88,88,88],"display_cycle":[88,88,88],"intervals":[{"from_index":374,"to_index":954,"sum":171778,"residue":88},{"from_index":954,"to_index":1534,"sum":168828,"residue":88},{"from_index":1534,"to_index":374,"sum":168238,"residue":88}],"minimal_cycle":[88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[374,954],"circle_positions":590,"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":[375,955,1535],"clock_positions":[375,955,1535],"native_values":[420,125,125],"rotation_degrees":77.58620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[420,125,125],"beta":{"interval_sums":[171860,168910,168320],"interval_residues":[170,170,170],"display_cycle":[170,170,170],"intervals":[{"from_index":375,"to_index":955,"sum":171860,"residue":170},{"from_index":955,"to_index":1535,"sum":168910,"residue":170},{"from_index":1535,"to_index":375,"sum":168320,"residue":170}],"minimal_cycle":[170],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[375,955],"circle_positions":590,"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":[376,956,1536],"clock_positions":[376,956,1536],"native_values":[37,37,332],"rotation_degrees":77.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[37,37,332],"beta":{"interval_sums":[171948,168998,168408],"interval_residues":[258,258,258],"display_cycle":[258,258,258],"intervals":[{"from_index":376,"to_index":956,"sum":171948,"residue":258},{"from_index":956,"to_index":1536,"sum":168998,"residue":258},{"from_index":1536,"to_index":376,"sum":168408,"residue":258}],"minimal_cycle":[258],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[376,956],"circle_positions":590,"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":[377,957,1537],"clock_positions":[377,957,1537],"native_values":[457,162,457],"rotation_degrees":78.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,162,457],"beta":{"interval_sums":[171528,169168,167988],"interval_residues":[428,428,428],"display_cycle":[428,428,428],"intervals":[{"from_index":377,"to_index":957,"sum":171528,"residue":428},{"from_index":957,"to_index":1537,"sum":169168,"residue":428},{"from_index":1537,"to_index":377,"sum":167988,"residue":428}],"minimal_cycle":[428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[377,957],"circle_positions":590,"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":[378,958,1538],"clock_positions":[378,958,1538],"native_values":[494,199,199],"rotation_degrees":78.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[494,199,199],"beta":{"interval_sums":[171196,169426,168246],"interval_residues":[96,96,96],"display_cycle":[96,96,96],"intervals":[{"from_index":378,"to_index":958,"sum":171196,"residue":96},{"from_index":958,"to_index":1538,"sum":169426,"residue":96},{"from_index":1538,"to_index":378,"sum":168246,"residue":96}],"minimal_cycle":[96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[378,958],"circle_positions":590,"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":[379,959,1539],"clock_positions":[379,959,1539],"native_values":[361,361,66],"rotation_degrees":78.41379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[361,361,66],"beta":{"interval_sums":[171034,169264,168674],"interval_residues":[524,524,524],"display_cycle":[524,524,524],"intervals":[{"from_index":379,"to_index":959,"sum":171034,"residue":524},{"from_index":959,"to_index":1539,"sum":169264,"residue":524},{"from_index":1539,"to_index":379,"sum":168674,"residue":524}],"minimal_cycle":[524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[379,959],"circle_positions":590,"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":[380,960,1540],"clock_positions":[380,960,1540],"native_values":[265,560,265],"rotation_degrees":78.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,560,265],"beta":{"interval_sums":[171130,168770,168770],"interval_residues":[30,30,30],"display_cycle":[30,30,30],"intervals":[{"from_index":380,"to_index":960,"sum":171130,"residue":30},{"from_index":960,"to_index":1540,"sum":168770,"residue":30},{"from_index":1540,"to_index":380,"sum":168770,"residue":30}],"minimal_cycle":[30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[380,960],"circle_positions":590,"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":[381,961,1541],"clock_positions":[381,961,1541],"native_values":[36,331,331],"rotation_degrees":78.82758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,331,331],"beta":{"interval_sums":[171654,168704,168704],"interval_residues":[554,554,554],"display_cycle":[554,554,554],"intervals":[{"from_index":381,"to_index":961,"sum":171654,"residue":554},{"from_index":961,"to_index":1541,"sum":168704,"residue":554},{"from_index":1541,"to_index":381,"sum":168704,"residue":554}],"minimal_cycle":[554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[381,961],"circle_positions":590,"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":[382,962,1542],"clock_positions":[382,962,1542],"native_values":[301,301,6],"rotation_degrees":79.03448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,301,6],"beta":{"interval_sums":[171684,168734,168734],"interval_residues":[584,584,584],"display_cycle":[584,584,584],"intervals":[{"from_index":382,"to_index":962,"sum":171684,"residue":584},{"from_index":962,"to_index":1542,"sum":168734,"residue":584},{"from_index":1542,"to_index":382,"sum":168734,"residue":584}],"minimal_cycle":[584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[382,962],"circle_positions":590,"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":[383,963,1543],"clock_positions":[383,963,1543],"native_values":[337,42,337],"rotation_degrees":79.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,42,337],"beta":{"interval_sums":[171648,168698,168698],"interval_residues":[548,548,548],"display_cycle":[548,548,548],"intervals":[{"from_index":383,"to_index":963,"sum":171648,"residue":548},{"from_index":963,"to_index":1543,"sum":168698,"residue":548},{"from_index":1543,"to_index":383,"sum":168698,"residue":548}],"minimal_cycle":[548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":548,"start_interval_clock_positions":[383,963],"circle_positions":590,"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":[384,964,1544],"clock_positions":[384,964,1544],"native_values":[48,343,343],"rotation_degrees":79.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[48,343,343],"beta":{"interval_sums":[171642,168692,168692],"interval_residues":[542,542,542],"display_cycle":[542,542,542],"intervals":[{"from_index":384,"to_index":964,"sum":171642,"residue":542},{"from_index":964,"to_index":1544,"sum":168692,"residue":542},{"from_index":1544,"to_index":384,"sum":168692,"residue":542}],"minimal_cycle":[542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[384,964],"circle_positions":590,"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":[385,965,1545],"clock_positions":[385,965,1545],"native_values":[385,385,90],"rotation_degrees":79.65517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[385,385,90],"beta":{"interval_sums":[171600,168650,168650],"interval_residues":[500,500,500],"display_cycle":[500,500,500],"intervals":[{"from_index":385,"to_index":965,"sum":171600,"residue":500},{"from_index":965,"to_index":1545,"sum":168650,"residue":500},{"from_index":1545,"to_index":385,"sum":168650,"residue":500}],"minimal_cycle":[500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[385,965],"circle_positions":590,"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":[386,966,1546],"clock_positions":[386,966,1546],"native_values":[433,138,433],"rotation_degrees":79.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,138,433],"beta":{"interval_sums":[171552,168602,168602],"interval_residues":[452,452,452],"display_cycle":[452,452,452],"intervals":[{"from_index":386,"to_index":966,"sum":171552,"residue":452},{"from_index":966,"to_index":1546,"sum":168602,"residue":452},{"from_index":1546,"to_index":386,"sum":168602,"residue":452}],"minimal_cycle":[452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[386,966],"circle_positions":590,"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":[387,967,1547],"clock_positions":[387,967,1547],"native_values":[228,523,523],"rotation_degrees":80.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[228,523,523],"beta":{"interval_sums":[171462,168512,168512],"interval_residues":[362,362,362],"display_cycle":[362,362,362],"intervals":[{"from_index":387,"to_index":967,"sum":171462,"residue":362},{"from_index":967,"to_index":1547,"sum":168512,"residue":362},{"from_index":1547,"to_index":387,"sum":168512,"residue":362}],"minimal_cycle":[362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[387,967],"circle_positions":590,"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":[388,968,1548],"clock_positions":[388,968,1548],"native_values":[71,71,366],"rotation_degrees":80.27586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[71,71,366],"beta":{"interval_sums":[171914,168964,168374],"interval_residues":[224,224,224],"display_cycle":[224,224,224],"intervals":[{"from_index":388,"to_index":968,"sum":171914,"residue":224},{"from_index":968,"to_index":1548,"sum":168964,"residue":224},{"from_index":1548,"to_index":388,"sum":168374,"residue":224}],"minimal_cycle":[224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[388,968],"circle_positions":590,"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":[389,969,1549],"clock_positions":[389,969,1549],"native_values":[299,4,299],"rotation_degrees":80.48275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,4,299],"beta":{"interval_sums":[171686,169326,168146],"interval_residues":[586,586,586],"display_cycle":[586,586,586],"intervals":[{"from_index":389,"to_index":969,"sum":171686,"residue":586},{"from_index":969,"to_index":1549,"sum":169326,"residue":586},{"from_index":1549,"to_index":389,"sum":168146,"residue":586}],"minimal_cycle":[586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[389,969],"circle_positions":590,"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":[390,970,1550],"clock_positions":[390,970,1550],"native_values":[370,75,75],"rotation_degrees":80.6896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[370,75,75],"beta":{"interval_sums":[171320,169550,168370],"interval_residues":[220,220,220],"display_cycle":[220,220,220],"intervals":[{"from_index":390,"to_index":970,"sum":171320,"residue":220},{"from_index":970,"to_index":1550,"sum":169550,"residue":220},{"from_index":1550,"to_index":390,"sum":168370,"residue":220}],"minimal_cycle":[220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[390,970],"circle_positions":590,"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":[391,971,1551],"clock_positions":[391,971,1551],"native_values":[79,79,374],"rotation_degrees":80.89655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,79,374],"beta":{"interval_sums":[171316,169546,168366],"interval_residues":[216,216,216],"display_cycle":[216,216,216],"intervals":[{"from_index":391,"to_index":971,"sum":171316,"residue":216},{"from_index":971,"to_index":1551,"sum":169546,"residue":216},{"from_index":1551,"to_index":391,"sum":168366,"residue":216}],"minimal_cycle":[216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[391,971],"circle_positions":590,"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":[392,972,1552],"clock_positions":[392,972,1552],"native_values":[449,154,449],"rotation_degrees":81.10344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,154,449],"beta":{"interval_sums":[170946,169766,167996],"interval_residues":[436,436,436],"display_cycle":[436,436,436],"intervals":[{"from_index":392,"to_index":972,"sum":170946,"residue":436},{"from_index":972,"to_index":1552,"sum":169766,"residue":436},{"from_index":1552,"to_index":392,"sum":167996,"residue":436}],"minimal_cycle":[436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[392,972],"circle_positions":590,"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":[393,973,1553],"clock_positions":[393,973,1553],"native_values":[528,233,233],"rotation_degrees":81.3103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[528,233,233],"beta":{"interval_sums":[170572,169982,168212],"interval_residues":[62,62,62],"display_cycle":[62,62,62],"intervals":[{"from_index":393,"to_index":973,"sum":170572,"residue":62},{"from_index":973,"to_index":1553,"sum":169982,"residue":62},{"from_index":1553,"to_index":393,"sum":168212,"residue":62}],"minimal_cycle":[62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[393,973],"circle_positions":590,"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":[394,974,1554],"clock_positions":[394,974,1554],"native_values":[387,387,92],"rotation_degrees":81.51724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[387,387,92],"beta":{"interval_sums":[170418,169828,168648],"interval_residues":[498,498,498],"display_cycle":[498,498,498],"intervals":[{"from_index":394,"to_index":974,"sum":170418,"residue":498},{"from_index":974,"to_index":1554,"sum":169828,"residue":498},{"from_index":1554,"to_index":394,"sum":168648,"residue":498}],"minimal_cycle":[498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[394,974],"circle_positions":590,"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":[395,975,1555],"clock_positions":[395,975,1555],"native_values":[325,30,325],"rotation_degrees":81.72413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,30,325],"beta":{"interval_sums":[170480,169890,168710],"interval_residues":[560,560,560],"display_cycle":[560,560,560],"intervals":[{"from_index":395,"to_index":975,"sum":170480,"residue":560},{"from_index":975,"to_index":1555,"sum":169890,"residue":560},{"from_index":1555,"to_index":395,"sum":168710,"residue":560}],"minimal_cycle":[560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":560,"start_interval_clock_positions":[395,975],"circle_positions":590,"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":[396,976,1556],"clock_positions":[396,976,1556],"native_values":[122,417,417],"rotation_degrees":81.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[122,417,417],"beta":{"interval_sums":[170388,169798,168618],"interval_residues":[468,468,468],"display_cycle":[468,468,468],"intervals":[{"from_index":396,"to_index":976,"sum":170388,"residue":468},{"from_index":976,"to_index":1556,"sum":169798,"residue":468},{"from_index":1556,"to_index":396,"sum":168618,"residue":468}],"minimal_cycle":[468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[396,976],"circle_positions":590,"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":[397,977,1557],"clock_positions":[397,977,1557],"native_values":[447,447,152],"rotation_degrees":82.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[447,447,152],"beta":{"interval_sums":[170358,169768,168588],"interval_residues":[438,438,438],"display_cycle":[438,438,438],"intervals":[{"from_index":397,"to_index":977,"sum":170358,"residue":438},{"from_index":977,"to_index":1557,"sum":169768,"residue":438},{"from_index":1557,"to_index":397,"sum":168588,"residue":438}],"minimal_cycle":[438],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":438,"start_interval_clock_positions":[397,977],"circle_positions":590,"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":[398,978,1558],"clock_positions":[398,978,1558],"native_values":[569,274,569],"rotation_degrees":82.34482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[569,274,569],"beta":{"interval_sums":[170236,169646,168466],"interval_residues":[316,316,316],"display_cycle":[316,316,316],"intervals":[{"from_index":398,"to_index":978,"sum":170236,"residue":316},{"from_index":978,"to_index":1558,"sum":169646,"residue":316},{"from_index":1558,"to_index":398,"sum":168466,"residue":316}],"minimal_cycle":[316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":316,"start_interval_clock_positions":[398,978],"circle_positions":590,"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":[399,979,1559],"clock_positions":[399,979,1559],"native_values":[426,131,131],"rotation_degrees":82.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[426,131,131],"beta":{"interval_sums":[170084,170084,168904],"interval_residues":[164,164,164],"display_cycle":[164,164,164],"intervals":[{"from_index":399,"to_index":979,"sum":170084,"residue":164},{"from_index":979,"to_index":1559,"sum":170084,"residue":164},{"from_index":1559,"to_index":399,"sum":168904,"residue":164}],"minimal_cycle":[164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[399,979],"circle_positions":590,"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":[400,980,1560],"clock_positions":[400,980,1560],"native_values":[405,405,110],"rotation_degrees":82.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,405,110],"beta":{"interval_sums":[169810,169810,169220],"interval_residues":[480,480,480],"display_cycle":[480,480,480],"intervals":[{"from_index":400,"to_index":980,"sum":169810,"residue":480},{"from_index":980,"to_index":1560,"sum":169810,"residue":480},{"from_index":1560,"to_index":400,"sum":169220,"residue":480}],"minimal_cycle":[480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[400,980],"circle_positions":590,"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":[401,981,1561],"clock_positions":[401,981,1561],"native_values":[241,536,241],"rotation_degrees":82.96551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,536,241],"beta":{"interval_sums":[169974,169384,169384],"interval_residues":[54,54,54],"display_cycle":[54,54,54],"intervals":[{"from_index":401,"to_index":981,"sum":169974,"residue":54},{"from_index":981,"to_index":1561,"sum":169384,"residue":54},{"from_index":1561,"to_index":401,"sum":169384,"residue":54}],"minimal_cycle":[54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[401,981],"circle_positions":590,"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":[402,982,1562],"clock_positions":[402,982,1562],"native_values":[56,351,351],"rotation_degrees":83.17241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[56,351,351],"beta":{"interval_sums":[170454,169274,169274],"interval_residues":[534,534,534],"display_cycle":[534,534,534],"intervals":[{"from_index":402,"to_index":982,"sum":170454,"residue":534},{"from_index":982,"to_index":1562,"sum":169274,"residue":534},{"from_index":1562,"to_index":402,"sum":169274,"residue":534}],"minimal_cycle":[534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[402,982],"circle_positions":590,"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":[403,983,1563],"clock_positions":[403,983,1563],"native_values":[297,297,2],"rotation_degrees":83.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[297,297,2],"beta":{"interval_sums":[170508,169328,169328],"interval_residues":[588,588,588],"display_cycle":[588,588,588],"intervals":[{"from_index":403,"to_index":983,"sum":170508,"residue":588},{"from_index":983,"to_index":1563,"sum":169328,"residue":588},{"from_index":1563,"to_index":403,"sum":169328,"residue":588}],"minimal_cycle":[588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[403,983],"circle_positions":590,"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":[404,984,1564],"clock_positions":[404,984,1564],"native_values":[353,58,353],"rotation_degrees":83.58620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[353,58,353],"beta":{"interval_sums":[170452,169272,169272],"interval_residues":[532,532,532],"display_cycle":[532,532,532],"intervals":[{"from_index":404,"to_index":984,"sum":170452,"residue":532},{"from_index":984,"to_index":1564,"sum":169272,"residue":532},{"from_index":1564,"to_index":404,"sum":169272,"residue":532}],"minimal_cycle":[532],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":532,"start_interval_clock_positions":[404,984],"circle_positions":590,"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":[405,985,1565],"clock_positions":[405,985,1565],"native_values":[60,355,355],"rotation_degrees":83.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,355,355],"beta":{"interval_sums":[170450,169270,169270],"interval_residues":[530,530,530],"display_cycle":[530,530,530],"intervals":[{"from_index":405,"to_index":985,"sum":170450,"residue":530},{"from_index":985,"to_index":1565,"sum":169270,"residue":530},{"from_index":1565,"to_index":405,"sum":169270,"residue":530}],"minimal_cycle":[530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[405,985],"circle_positions":590,"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":[406,986,1566],"clock_positions":[406,986,1566],"native_values":[413,413,118],"rotation_degrees":84.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[413,413,118],"beta":{"interval_sums":[170392,169212,169212],"interval_residues":[472,472,472],"display_cycle":[472,472,472],"intervals":[{"from_index":406,"to_index":986,"sum":170392,"residue":472},{"from_index":986,"to_index":1566,"sum":169212,"residue":472},{"from_index":1566,"to_index":406,"sum":169212,"residue":472}],"minimal_cycle":[472],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":472,"start_interval_clock_positions":[406,986],"circle_positions":590,"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":[407,987,1567],"clock_positions":[407,987,1567],"native_values":[473,178,473],"rotation_degrees":84.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,178,473],"beta":{"interval_sums":[170332,169152,169152],"interval_residues":[412,412,412],"display_cycle":[412,412,412],"intervals":[{"from_index":407,"to_index":987,"sum":170332,"residue":412},{"from_index":987,"to_index":1567,"sum":169152,"residue":412},{"from_index":1567,"to_index":407,"sum":169152,"residue":412}],"minimal_cycle":[412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[407,987],"circle_positions":590,"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":[408,988,1568],"clock_positions":[408,988,1568],"native_values":[296,1,1],"rotation_degrees":84.41379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[296,1,1],"beta":{"interval_sums":[170214,169624,169624],"interval_residues":[294,294,294],"display_cycle":[294,294,294],"intervals":[{"from_index":408,"to_index":988,"sum":170214,"residue":294},{"from_index":988,"to_index":1568,"sum":169624,"residue":294},{"from_index":1568,"to_index":408,"sum":169624,"residue":294}],"minimal_cycle":[294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[408,988],"circle_positions":590,"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":[409,989,1569],"clock_positions":[409,989,1569],"native_values":[179,179,474],"rotation_degrees":84.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[179,179,474],"beta":{"interval_sums":[170036,169446,169446],"interval_residues":[116,116,116],"display_cycle":[116,116,116],"intervals":[{"from_index":409,"to_index":989,"sum":170036,"residue":116},{"from_index":989,"to_index":1569,"sum":169446,"residue":116},{"from_index":1569,"to_index":409,"sum":169446,"residue":116}],"minimal_cycle":[116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[409,989],"circle_positions":590,"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":[410,990,1570],"clock_positions":[410,990,1570],"native_values":[475,180,475],"rotation_degrees":84.82758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[475,180,475],"beta":{"interval_sums":[169740,169740,169150],"interval_residues":[410,410,410],"display_cycle":[410,410,410],"intervals":[{"from_index":410,"to_index":990,"sum":169740,"residue":410},{"from_index":990,"to_index":1570,"sum":169740,"residue":410},{"from_index":1570,"to_index":410,"sum":169150,"residue":410}],"minimal_cycle":[410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[410,990],"circle_positions":590,"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":[411,991,1571],"clock_positions":[411,991,1571],"native_values":[64,359,359],"rotation_degrees":85.03448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[64,359,359],"beta":{"interval_sums":[169856,169856,169266],"interval_residues":[526,526,526],"display_cycle":[526,526,526],"intervals":[{"from_index":411,"to_index":991,"sum":169856,"residue":526},{"from_index":991,"to_index":1571,"sum":169856,"residue":526},{"from_index":1571,"to_index":411,"sum":169266,"residue":526}],"minimal_cycle":[526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":526,"start_interval_clock_positions":[411,991],"circle_positions":590,"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":[412,992,1572],"clock_positions":[412,992,1572],"native_values":[539,539,244],"rotation_degrees":85.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[539,539,244],"beta":{"interval_sums":[169676,169676,169086],"interval_residues":[346,346,346],"display_cycle":[346,346,346],"intervals":[{"from_index":412,"to_index":992,"sum":169676,"residue":346},{"from_index":992,"to_index":1572,"sum":169676,"residue":346},{"from_index":1572,"to_index":412,"sum":169086,"residue":346}],"minimal_cycle":[346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[412,992],"circle_positions":590,"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":[413,993,1573],"clock_positions":[413,993,1573],"native_values":[13,308,13],"rotation_degrees":85.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,308,13],"beta":{"interval_sums":[170202,169612,169612],"interval_residues":[282,282,282],"display_cycle":[282,282,282],"intervals":[{"from_index":413,"to_index":993,"sum":170202,"residue":282},{"from_index":993,"to_index":1573,"sum":169612,"residue":282},{"from_index":1573,"to_index":413,"sum":169612,"residue":282}],"minimal_cycle":[282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":282,"start_interval_clock_positions":[413,993],"circle_positions":590,"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":[414,994,1574],"clock_positions":[414,994,1574],"native_values":[552,257,257],"rotation_degrees":85.65517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[552,257,257],"beta":{"interval_sums":[169958,169368,169368],"interval_residues":[38,38,38],"display_cycle":[38,38,38],"intervals":[{"from_index":414,"to_index":994,"sum":169958,"residue":38},{"from_index":994,"to_index":1574,"sum":169368,"residue":38},{"from_index":1574,"to_index":414,"sum":169368,"residue":38}],"minimal_cycle":[38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[414,994],"circle_positions":590,"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":[415,995,1575],"clock_positions":[415,995,1575],"native_values":[565,565,270],"rotation_degrees":85.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,565,270],"beta":{"interval_sums":[169650,169060,169650],"interval_residues":[320,320,320],"display_cycle":[320,320,320],"intervals":[{"from_index":415,"to_index":995,"sum":169650,"residue":320},{"from_index":995,"to_index":1575,"sum":169060,"residue":320},{"from_index":1575,"to_index":415,"sum":169650,"residue":320}],"minimal_cycle":[320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[415,995],"circle_positions":590,"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":[416,996,1576],"clock_positions":[416,996,1576],"native_values":[527,232,527],"rotation_degrees":86.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,232,527],"beta":{"interval_sums":[169688,169098,169688],"interval_residues":[358,358,358],"display_cycle":[358,358,358],"intervals":[{"from_index":416,"to_index":996,"sum":169688,"residue":358},{"from_index":996,"to_index":1576,"sum":169098,"residue":358},{"from_index":1576,"to_index":416,"sum":169688,"residue":358}],"minimal_cycle":[358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":358,"start_interval_clock_positions":[416,996],"circle_positions":590,"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":[417,997,1577],"clock_positions":[417,997,1577],"native_values":[502,207,207],"rotation_degrees":86.27586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,207,207],"beta":{"interval_sums":[169418,169418,170008],"interval_residues":[88,88,88],"display_cycle":[88,88,88],"intervals":[{"from_index":417,"to_index":997,"sum":169418,"residue":88},{"from_index":997,"to_index":1577,"sum":169418,"residue":88},{"from_index":1577,"to_index":417,"sum":170008,"residue":88}],"minimal_cycle":[88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[417,997],"circle_positions":590,"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":[418,998,1578],"clock_positions":[418,998,1578],"native_values":[439,439,144],"rotation_degrees":86.48275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[439,439,144],"beta":{"interval_sums":[169186,169186,170366],"interval_residues":[446,446,446],"display_cycle":[446,446,446],"intervals":[{"from_index":418,"to_index":998,"sum":169186,"residue":446},{"from_index":998,"to_index":1578,"sum":169186,"residue":446},{"from_index":1578,"to_index":418,"sum":170366,"residue":446}],"minimal_cycle":[446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[418,998],"circle_positions":590,"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":[419,999,1579],"clock_positions":[419,999,1579],"native_values":[351,56,351],"rotation_degrees":86.6896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,56,351],"beta":{"interval_sums":[169274,169274,170454],"interval_residues":[534,534,534],"display_cycle":[534,534,534],"intervals":[{"from_index":419,"to_index":999,"sum":169274,"residue":534},{"from_index":999,"to_index":1579,"sum":169274,"residue":534},{"from_index":1579,"to_index":419,"sum":170454,"residue":534}],"minimal_cycle":[534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[419,999],"circle_positions":590,"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":[420,1000,1580],"clock_positions":[420,1000,1580],"native_values":[200,495,495],"rotation_degrees":86.89655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,495,495],"beta":{"interval_sums":[169130,169130,170310],"interval_residues":[390,390,390],"display_cycle":[390,390,390],"intervals":[{"from_index":420,"to_index":1000,"sum":169130,"residue":390},{"from_index":1000,"to_index":1580,"sum":169130,"residue":390},{"from_index":1580,"to_index":420,"sum":170310,"residue":390}],"minimal_cycle":[390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":390,"start_interval_clock_positions":[420,1000],"circle_positions":590,"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":[421,1001,1581],"clock_positions":[421,1001,1581],"native_values":[551,551,256],"rotation_degrees":87.10344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,551,256],"beta":{"interval_sums":[169074,169074,170254],"interval_residues":[334,334,334],"display_cycle":[334,334,334],"intervals":[{"from_index":421,"to_index":1001,"sum":169074,"residue":334},{"from_index":1001,"to_index":1581,"sum":169074,"residue":334},{"from_index":1581,"to_index":421,"sum":170254,"residue":334}],"minimal_cycle":[334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[421,1001],"circle_positions":590,"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":[422,1002,1582],"clock_positions":[422,1002,1582],"native_values":[161,456,161],"rotation_degrees":87.3103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,456,161],"beta":{"interval_sums":[169464,168874,170644],"interval_residues":[134,134,134],"display_cycle":[134,134,134],"intervals":[{"from_index":422,"to_index":1002,"sum":169464,"residue":134},{"from_index":1002,"to_index":1582,"sum":168874,"residue":134},{"from_index":1582,"to_index":422,"sum":170644,"residue":134}],"minimal_cycle":[134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[422,1002],"circle_positions":590,"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":[423,1003,1583],"clock_positions":[423,1003,1583],"native_values":[122,417,417],"rotation_degrees":87.51724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[122,417,417],"beta":{"interval_sums":[169798,168618,170388],"interval_residues":[468,468,468],"display_cycle":[468,468,468],"intervals":[{"from_index":423,"to_index":1003,"sum":169798,"residue":468},{"from_index":1003,"to_index":1583,"sum":168618,"residue":468},{"from_index":1583,"to_index":423,"sum":170388,"residue":468}],"minimal_cycle":[468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[423,1003],"circle_positions":590,"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":[424,1004,1584],"clock_positions":[424,1004,1584],"native_values":[283,283,578],"rotation_degrees":87.72413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,283,578],"beta":{"interval_sums":[169932,168752,169932],"interval_residues":[12,12,12],"display_cycle":[12,12,12],"intervals":[{"from_index":424,"to_index":1004,"sum":169932,"residue":12},{"from_index":1004,"to_index":1584,"sum":168752,"residue":12},{"from_index":1584,"to_index":424,"sum":169932,"residue":12}],"minimal_cycle":[12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":12,"start_interval_clock_positions":[424,1004],"circle_positions":590,"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":[425,1005,1585],"clock_positions":[425,1005,1585],"native_values":[405,110,405],"rotation_degrees":87.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,110,405],"beta":{"interval_sums":[169810,169220,169810],"interval_residues":[480,480,480],"display_cycle":[480,480,480],"intervals":[{"from_index":425,"to_index":1005,"sum":169810,"residue":480},{"from_index":1005,"to_index":1585,"sum":169220,"residue":480},{"from_index":1585,"to_index":425,"sum":169810,"residue":480}],"minimal_cycle":[480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[425,1005],"circle_positions":590,"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":[426,1006,1586],"clock_positions":[426,1006,1586],"native_values":[98,393,393],"rotation_degrees":88.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[98,393,393],"beta":{"interval_sums":[169822,169232,169822],"interval_residues":[492,492,492],"display_cycle":[492,492,492],"intervals":[{"from_index":426,"to_index":1006,"sum":169822,"residue":492},{"from_index":1006,"to_index":1586,"sum":169232,"residue":492},{"from_index":1586,"to_index":426,"sum":169822,"residue":492}],"minimal_cycle":[492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":492,"start_interval_clock_positions":[426,1006],"circle_positions":590,"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":[427,1007,1587],"clock_positions":[427,1007,1587],"native_values":[503,503,208],"rotation_degrees":88.34482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[503,503,208],"beta":{"interval_sums":[169712,169122,169712],"interval_residues":[382,382,382],"display_cycle":[382,382,382],"intervals":[{"from_index":427,"to_index":1007,"sum":169712,"residue":382},{"from_index":1007,"to_index":1587,"sum":169122,"residue":382},{"from_index":1587,"to_index":427,"sum":169712,"residue":382}],"minimal_cycle":[382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[427,1007],"circle_positions":590,"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":[428,1008,1588],"clock_positions":[428,1008,1588],"native_values":[11,306,11],"rotation_degrees":88.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[11,306,11],"beta":{"interval_sums":[170204,169024,170204],"interval_residues":[284,284,284],"display_cycle":[284,284,284],"intervals":[{"from_index":428,"to_index":1008,"sum":170204,"residue":284},{"from_index":1008,"to_index":1588,"sum":169024,"residue":284},{"from_index":1588,"to_index":428,"sum":170204,"residue":284}],"minimal_cycle":[284],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":284,"start_interval_clock_positions":[428,1008],"circle_positions":590,"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":[429,1009,1589],"clock_positions":[429,1009,1589],"native_values":[514,219,219],"rotation_degrees":88.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[514,219,219],"beta":{"interval_sums":[169996,168816,169996],"interval_residues":[76,76,76],"display_cycle":[76,76,76],"intervals":[{"from_index":429,"to_index":1009,"sum":169996,"residue":76},{"from_index":1009,"to_index":1589,"sum":168816,"residue":76},{"from_index":1589,"to_index":429,"sum":169996,"residue":76}],"minimal_cycle":[76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[429,1009],"circle_positions":590,"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":[430,1010,1590],"clock_positions":[430,1010,1590],"native_values":[525,525,230],"rotation_degrees":88.96551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[525,525,230],"beta":{"interval_sums":[169690,168510,170280],"interval_residues":[360,360,360],"display_cycle":[360,360,360],"intervals":[{"from_index":430,"to_index":1010,"sum":169690,"residue":360},{"from_index":1010,"to_index":1590,"sum":168510,"residue":360},{"from_index":1590,"to_index":430,"sum":170280,"residue":360}],"minimal_cycle":[360],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":360,"start_interval_clock_positions":[430,1010],"circle_positions":590,"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":[431,1011,1591],"clock_positions":[431,1011,1591],"native_values":[449,154,449],"rotation_degrees":89.17241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,154,449],"beta":{"interval_sums":[169766,168586,170356],"interval_residues":[436,436,436],"display_cycle":[436,436,436],"intervals":[{"from_index":431,"to_index":1011,"sum":169766,"residue":436},{"from_index":1011,"to_index":1591,"sum":168586,"residue":436},{"from_index":1591,"to_index":431,"sum":170356,"residue":436}],"minimal_cycle":[436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[431,1011],"circle_positions":590,"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":[432,1012,1592],"clock_positions":[432,1012,1592],"native_values":[384,89,89],"rotation_degrees":89.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[384,89,89],"beta":{"interval_sums":[169536,168946,170716],"interval_residues":[206,206,206],"display_cycle":[206,206,206],"intervals":[{"from_index":432,"to_index":1012,"sum":169536,"residue":206},{"from_index":1012,"to_index":1592,"sum":168946,"residue":206},{"from_index":1592,"to_index":432,"sum":170716,"residue":206}],"minimal_cycle":[206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[432,1012],"circle_positions":590,"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":[433,1013,1593],"clock_positions":[433,1013,1593],"native_values":[243,243,538],"rotation_degrees":89.58620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,243,538],"beta":{"interval_sums":[169382,168792,170562],"interval_residues":[52,52,52],"display_cycle":[52,52,52],"intervals":[{"from_index":433,"to_index":1013,"sum":169382,"residue":52},{"from_index":1013,"to_index":1593,"sum":168792,"residue":52},{"from_index":1593,"to_index":433,"sum":170562,"residue":52}],"minimal_cycle":[52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[433,1013],"circle_positions":590,"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":[434,1014,1594],"clock_positions":[434,1014,1594],"native_values":[37,332,37],"rotation_degrees":89.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[37,332,37],"beta":{"interval_sums":[169588,168998,170768],"interval_residues":[258,258,258],"display_cycle":[258,258,258],"intervals":[{"from_index":434,"to_index":1014,"sum":169588,"residue":258},{"from_index":1014,"to_index":1594,"sum":168998,"residue":258},{"from_index":1594,"to_index":434,"sum":170768,"residue":258}],"minimal_cycle":[258],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[434,1014],"circle_positions":590,"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":[435,1015,1595],"clock_positions":[435,1015,1595],"native_values":[280,575,575],"rotation_degrees":90.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[280,575,575],"beta":{"interval_sums":[169640,168460,170230],"interval_residues":[310,310,310],"display_cycle":[310,310,310],"intervals":[{"from_index":435,"to_index":1015,"sum":169640,"residue":310},{"from_index":1015,"to_index":1595,"sum":168460,"residue":310},{"from_index":1595,"to_index":435,"sum":170230,"residue":310}],"minimal_cycle":[310],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":310,"start_interval_clock_positions":[435,1015],"circle_positions":590,"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":[436,1016,1596],"clock_positions":[436,1016,1596],"native_values":[317,317,22],"rotation_degrees":90.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,317,22],"beta":{"interval_sums":[169898,168718,170488],"interval_residues":[568,568,568],"display_cycle":[568,568,568],"intervals":[{"from_index":436,"to_index":1016,"sum":169898,"residue":568},{"from_index":1016,"to_index":1596,"sum":168718,"residue":568},{"from_index":1596,"to_index":436,"sum":170488,"residue":568}],"minimal_cycle":[568],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":568,"start_interval_clock_positions":[436,1016],"circle_positions":590,"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":[437,1017,1597],"clock_positions":[437,1017,1597],"native_values":[7,302,7],"rotation_degrees":90.41379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[7,302,7],"beta":{"interval_sums":[170208,168438,170798],"interval_residues":[288,288,288],"display_cycle":[288,288,288],"intervals":[{"from_index":437,"to_index":1017,"sum":170208,"residue":288},{"from_index":1017,"to_index":1597,"sum":168438,"residue":288},{"from_index":1597,"to_index":437,"sum":170798,"residue":288}],"minimal_cycle":[288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[437,1017],"circle_positions":590,"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":[438,1018,1598],"clock_positions":[438,1018,1598],"native_values":[324,29,29],"rotation_degrees":90.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[324,29,29],"beta":{"interval_sums":[170186,168416,170776],"interval_residues":[266,266,266],"display_cycle":[266,266,266],"intervals":[{"from_index":438,"to_index":1018,"sum":170186,"residue":266},{"from_index":1018,"to_index":1598,"sum":168416,"residue":266},{"from_index":1598,"to_index":438,"sum":170776,"residue":266}],"minimal_cycle":[266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[438,1018],"circle_positions":590,"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":[439,1019,1599],"clock_positions":[439,1019,1599],"native_values":[331,331,36],"rotation_degrees":90.82758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,331,36],"beta":{"interval_sums":[169884,168114,171064],"interval_residues":[554,554,554],"display_cycle":[554,554,554],"intervals":[{"from_index":439,"to_index":1019,"sum":169884,"residue":554},{"from_index":1019,"to_index":1599,"sum":168114,"residue":554},{"from_index":1599,"to_index":439,"sum":171064,"residue":554}],"minimal_cycle":[554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[439,1019],"circle_positions":590,"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":[440,1020,1600],"clock_positions":[440,1020,1600],"native_values":[65,360,65],"rotation_degrees":91.03448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,360,65],"beta":{"interval_sums":[170150,167790,171330],"interval_residues":[230,230,230],"display_cycle":[230,230,230],"intervals":[{"from_index":440,"to_index":1020,"sum":170150,"residue":230},{"from_index":1020,"to_index":1600,"sum":167790,"residue":230},{"from_index":1600,"to_index":440,"sum":171330,"residue":230}],"minimal_cycle":[230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[440,1020],"circle_positions":590,"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":[441,1021,1601],"clock_positions":[441,1021,1601],"native_values":[396,101,101],"rotation_degrees":91.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[396,101,101],"beta":{"interval_sums":[170114,167754,171294],"interval_residues":[194,194,194],"display_cycle":[194,194,194],"intervals":[{"from_index":441,"to_index":1021,"sum":170114,"residue":194},{"from_index":1021,"to_index":1601,"sum":167754,"residue":194},{"from_index":1601,"to_index":441,"sum":171294,"residue":194}],"minimal_cycle":[194],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[441,1021],"circle_positions":590,"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":[442,1022,1602],"clock_positions":[442,1022,1602],"native_values":[461,461,166],"rotation_degrees":91.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,461,166],"beta":{"interval_sums":[169754,167394,171524],"interval_residues":[424,424,424],"display_cycle":[424,424,424],"intervals":[{"from_index":442,"to_index":1022,"sum":169754,"residue":424},{"from_index":1022,"to_index":1602,"sum":167394,"residue":424},{"from_index":1602,"to_index":442,"sum":171524,"residue":424}],"minimal_cycle":[424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[442,1022],"circle_positions":590,"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":[443,1023,1603],"clock_positions":[443,1023,1603],"native_values":[267,562,267],"rotation_degrees":91.65517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[267,562,267],"beta":{"interval_sums":[169948,166998,171718],"interval_residues":[28,28,28],"display_cycle":[28,28,28],"intervals":[{"from_index":443,"to_index":1023,"sum":169948,"residue":28},{"from_index":1023,"to_index":1603,"sum":166998,"residue":28},{"from_index":1603,"to_index":443,"sum":171718,"residue":28}],"minimal_cycle":[28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[443,1023],"circle_positions":590,"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":[444,1024,1604],"clock_positions":[444,1024,1604],"native_values":[138,433,433],"rotation_degrees":91.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[138,433,433],"beta":{"interval_sums":[170372,166832,171552],"interval_residues":[452,452,452],"display_cycle":[452,452,452],"intervals":[{"from_index":444,"to_index":1024,"sum":170372,"residue":452},{"from_index":1024,"to_index":1604,"sum":166832,"residue":452},{"from_index":1604,"to_index":444,"sum":171552,"residue":452}],"minimal_cycle":[452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[444,1024],"circle_positions":590,"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":[445,1025,1605],"clock_positions":[445,1025,1605],"native_values":[405,405,110],"rotation_degrees":92.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,405,110],"beta":{"interval_sums":[170400,166860,171580],"interval_residues":[480,480,480],"display_cycle":[480,480,480],"intervals":[{"from_index":445,"to_index":1025,"sum":170400,"residue":480},{"from_index":1025,"to_index":1605,"sum":166860,"residue":480},{"from_index":1605,"to_index":445,"sum":171580,"residue":480}],"minimal_cycle":[480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[445,1025],"circle_positions":590,"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":[446,1026,1606],"clock_positions":[446,1026,1606],"native_values":[543,248,543],"rotation_degrees":92.27586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[543,248,543],"beta":{"interval_sums":[170262,166722,171442],"interval_residues":[342,342,342],"display_cycle":[342,342,342],"intervals":[{"from_index":446,"to_index":1026,"sum":170262,"residue":342},{"from_index":1026,"to_index":1606,"sum":166722,"residue":342},{"from_index":1606,"to_index":446,"sum":171442,"residue":342}],"minimal_cycle":[342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":342,"start_interval_clock_positions":[446,1026],"circle_positions":590,"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":[447,1027,1607],"clock_positions":[447,1027,1607],"native_values":[358,63,63],"rotation_degrees":92.48275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[358,63,63],"beta":{"interval_sums":[170152,167202,171922],"interval_residues":[232,232,232],"display_cycle":[232,232,232],"intervals":[{"from_index":447,"to_index":1027,"sum":170152,"residue":232},{"from_index":1027,"to_index":1607,"sum":167202,"residue":232},{"from_index":1607,"to_index":447,"sum":171922,"residue":232}],"minimal_cycle":[232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[447,1027],"circle_positions":590,"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":[448,1028,1608],"clock_positions":[448,1028,1608],"native_values":[311,311,16],"rotation_degrees":92.6896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,311,16],"beta":{"interval_sums":[169904,166954,172264],"interval_residues":[574,574,574],"display_cycle":[574,574,574],"intervals":[{"from_index":448,"to_index":1028,"sum":169904,"residue":574},{"from_index":1028,"to_index":1608,"sum":166954,"residue":574},{"from_index":1608,"to_index":448,"sum":172264,"residue":574}],"minimal_cycle":[574],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[448,1028],"circle_positions":590,"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":[449,1029,1609],"clock_positions":[449,1029,1609],"native_values":[79,374,79],"rotation_degrees":92.89655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,374,79],"beta":{"interval_sums":[170136,166596,172496],"interval_residues":[216,216,216],"display_cycle":[216,216,216],"intervals":[{"from_index":449,"to_index":1029,"sum":170136,"residue":216},{"from_index":1029,"to_index":1609,"sum":166596,"residue":216},{"from_index":1609,"to_index":449,"sum":172496,"residue":216}],"minimal_cycle":[216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[449,1029],"circle_positions":590,"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":[450,1030,1610],"clock_positions":[450,1030,1610],"native_values":[390,95,95],"rotation_degrees":93.10344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[390,95,95],"beta":{"interval_sums":[170120,166580,172480],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":450,"to_index":1030,"sum":170120,"residue":200},{"from_index":1030,"to_index":1610,"sum":166580,"residue":200},{"from_index":1610,"to_index":450,"sum":172480,"residue":200}],"minimal_cycle":[200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[450,1030],"circle_positions":590,"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":[451,1031,1611],"clock_positions":[451,1031,1611],"native_values":[469,469,174],"rotation_degrees":93.3103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,469,174],"beta":{"interval_sums":[169746,166206,172696],"interval_residues":[416,416,416],"display_cycle":[416,416,416],"intervals":[{"from_index":451,"to_index":1031,"sum":169746,"residue":416},{"from_index":1031,"to_index":1611,"sum":166206,"residue":416},{"from_index":1611,"to_index":451,"sum":172696,"residue":416}],"minimal_cycle":[416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[451,1031],"circle_positions":590,"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":[452,1032,1612],"clock_positions":[452,1032,1612],"native_values":[269,564,269],"rotation_degrees":93.51724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[269,564,269],"beta":{"interval_sums":[169946,165816,172896],"interval_residues":[26,26,26],"display_cycle":[26,26,26],"intervals":[{"from_index":452,"to_index":1032,"sum":169946,"residue":26},{"from_index":1032,"to_index":1612,"sum":165816,"residue":26},{"from_index":1612,"to_index":452,"sum":172896,"residue":26}],"minimal_cycle":[26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[452,1032],"circle_positions":590,"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":[453,1033,1613],"clock_positions":[453,1033,1613],"native_values":[148,443,443],"rotation_degrees":93.72413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[148,443,443],"beta":{"interval_sums":[170362,165642,172722],"interval_residues":[442,442,442],"display_cycle":[442,442,442],"intervals":[{"from_index":453,"to_index":1033,"sum":170362,"residue":442},{"from_index":1033,"to_index":1613,"sum":165642,"residue":442},{"from_index":1613,"to_index":453,"sum":172722,"residue":442}],"minimal_cycle":[442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[453,1033],"circle_positions":590,"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":[454,1034,1614],"clock_positions":[454,1034,1614],"native_values":[417,417,122],"rotation_degrees":93.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,417,122],"beta":{"interval_sums":[170388,165668,172748],"interval_residues":[468,468,468],"display_cycle":[468,468,468],"intervals":[{"from_index":454,"to_index":1034,"sum":170388,"residue":468},{"from_index":1034,"to_index":1614,"sum":165668,"residue":468},{"from_index":1614,"to_index":454,"sum":172748,"residue":468}],"minimal_cycle":[468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[454,1034],"circle_positions":590,"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":[455,1035,1615],"clock_positions":[455,1035,1615],"native_values":[565,270,565],"rotation_degrees":94.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,270,565],"beta":{"interval_sums":[170240,165520,172600],"interval_residues":[320,320,320],"display_cycle":[320,320,320],"intervals":[{"from_index":455,"to_index":1035,"sum":170240,"residue":320},{"from_index":1035,"to_index":1615,"sum":165520,"residue":320},{"from_index":1615,"to_index":455,"sum":172600,"residue":320}],"minimal_cycle":[320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[455,1035],"circle_positions":590,"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":[456,1036,1616],"clock_positions":[456,1036,1616],"native_values":[392,97,97],"rotation_degrees":94.34482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[392,97,97],"beta":{"interval_sums":[170118,165988,173068],"interval_residues":[198,198,198],"display_cycle":[198,198,198],"intervals":[{"from_index":456,"to_index":1036,"sum":170118,"residue":198},{"from_index":1036,"to_index":1616,"sum":165988,"residue":198},{"from_index":1616,"to_index":456,"sum":173068,"residue":198}],"minimal_cycle":[198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[456,1036],"circle_positions":590,"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":[457,1037,1617],"clock_positions":[457,1037,1617],"native_values":[367,367,72],"rotation_degrees":94.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[367,367,72],"beta":{"interval_sums":[169848,165718,173388],"interval_residues":[518,518,518],"display_cycle":[518,518,518],"intervals":[{"from_index":457,"to_index":1037,"sum":169848,"residue":518},{"from_index":1037,"to_index":1617,"sum":165718,"residue":518},{"from_index":1617,"to_index":457,"sum":173388,"residue":518}],"minimal_cycle":[518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[457,1037],"circle_positions":590,"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":[458,1038,1618],"clock_positions":[458,1038,1618],"native_values":[169,464,169],"rotation_degrees":94.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,464,169],"beta":{"interval_sums":[170046,165326,173586],"interval_residues":[126,126,126],"display_cycle":[126,126,126],"intervals":[{"from_index":458,"to_index":1038,"sum":170046,"residue":126},{"from_index":1038,"to_index":1618,"sum":165326,"residue":126},{"from_index":1618,"to_index":458,"sum":173586,"residue":126}],"minimal_cycle":[126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[458,1038],"circle_positions":590,"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":[459,1039,1619],"clock_positions":[459,1039,1619],"native_values":[536,241,241],"rotation_degrees":94.96551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[536,241,241],"beta":{"interval_sums":[169974,165254,173514],"interval_residues":[54,54,54],"display_cycle":[54,54,54],"intervals":[{"from_index":459,"to_index":1039,"sum":169974,"residue":54},{"from_index":1039,"to_index":1619,"sum":165254,"residue":54},{"from_index":1619,"to_index":459,"sum":173514,"residue":54}],"minimal_cycle":[54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[459,1039],"circle_positions":590,"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":[460,1040,1620],"clock_positions":[460,1040,1620],"native_values":[115,115,410],"rotation_degrees":95.17241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,115,410],"beta":{"interval_sums":[170100,165380,173640],"interval_residues":[180,180,180],"display_cycle":[180,180,180],"intervals":[{"from_index":460,"to_index":1040,"sum":170100,"residue":180},{"from_index":1040,"to_index":1620,"sum":165380,"residue":180},{"from_index":1620,"to_index":460,"sum":173640,"residue":180}],"minimal_cycle":[180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[460,1040],"circle_positions":590,"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":[461,1041,1621],"clock_positions":[461,1041,1621],"native_values":[61,356,61],"rotation_degrees":95.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,356,61],"beta":{"interval_sums":[170154,165434,173694],"interval_residues":[234,234,234],"display_cycle":[234,234,234],"intervals":[{"from_index":461,"to_index":1041,"sum":170154,"residue":234},{"from_index":1041,"to_index":1621,"sum":165434,"residue":234},{"from_index":1621,"to_index":461,"sum":173694,"residue":234}],"minimal_cycle":[234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[461,1041],"circle_positions":590,"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":[462,1042,1622],"clock_positions":[462,1042,1622],"native_values":[176,471,471],"rotation_degrees":95.58620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[176,471,471],"beta":{"interval_sums":[170334,165024,173284],"interval_residues":[414,414,414],"display_cycle":[414,414,414],"intervals":[{"from_index":462,"to_index":1042,"sum":170334,"residue":414},{"from_index":1042,"to_index":1622,"sum":165024,"residue":414},{"from_index":1622,"to_index":462,"sum":173284,"residue":414}],"minimal_cycle":[414],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[462,1042],"circle_positions":590,"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":[463,1043,1623],"clock_positions":[463,1043,1623],"native_values":[237,237,532],"rotation_degrees":95.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,237,532],"beta":{"interval_sums":[170568,165258,172928],"interval_residues":[58,58,58],"display_cycle":[58,58,58],"intervals":[{"from_index":463,"to_index":1043,"sum":170568,"residue":58},{"from_index":1043,"to_index":1623,"sum":165258,"residue":58},{"from_index":1623,"to_index":463,"sum":172928,"residue":58}],"minimal_cycle":[58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[463,1043],"circle_positions":590,"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":[464,1044,1624],"clock_positions":[464,1044,1624],"native_values":[413,118,413],"rotation_degrees":96.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[413,118,413],"beta":{"interval_sums":[170392,165672,172752],"interval_residues":[472,472,472],"display_cycle":[472,472,472],"intervals":[{"from_index":464,"to_index":1044,"sum":170392,"residue":472},{"from_index":1044,"to_index":1624,"sum":165672,"residue":472},{"from_index":1624,"to_index":464,"sum":172752,"residue":472}],"minimal_cycle":[472],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":472,"start_interval_clock_positions":[464,1044],"circle_positions":590,"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":[465,1045,1625],"clock_positions":[465,1045,1625],"native_values":[60,355,355],"rotation_degrees":96.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,355,355],"beta":{"interval_sums":[170450,165730,172810],"interval_residues":[530,530,530],"display_cycle":[530,530,530],"intervals":[{"from_index":465,"to_index":1045,"sum":170450,"residue":530},{"from_index":1045,"to_index":1625,"sum":165730,"residue":530},{"from_index":1625,"to_index":465,"sum":172810,"residue":530}],"minimal_cycle":[530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[465,1045],"circle_positions":590,"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":[466,1046,1626],"clock_positions":[466,1046,1626],"native_values":[473,473,178],"rotation_degrees":96.41379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,473,178],"beta":{"interval_sums":[170332,165612,172692],"interval_residues":[412,412,412],"display_cycle":[412,412,412],"intervals":[{"from_index":466,"to_index":1046,"sum":170332,"residue":412},{"from_index":1046,"to_index":1626,"sum":165612,"residue":412},{"from_index":1626,"to_index":466,"sum":172692,"residue":412}],"minimal_cycle":[412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[466,1046],"circle_positions":590,"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":[467,1047,1627],"clock_positions":[467,1047,1627],"native_values":[533,238,533],"rotation_degrees":96.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[533,238,533],"beta":{"interval_sums":[170272,165552,172632],"interval_residues":[352,352,352],"display_cycle":[352,352,352],"intervals":[{"from_index":467,"to_index":1047,"sum":170272,"residue":352},{"from_index":1047,"to_index":1627,"sum":165552,"residue":352},{"from_index":1627,"to_index":467,"sum":172632,"residue":352}],"minimal_cycle":[352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[467,1047],"circle_positions":590,"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":[468,1048,1628],"clock_positions":[468,1048,1628],"native_values":[416,121,121],"rotation_degrees":96.82758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[416,121,121],"beta":{"interval_sums":[170094,165964,173044],"interval_residues":[174,174,174],"display_cycle":[174,174,174],"intervals":[{"from_index":468,"to_index":1048,"sum":170094,"residue":174},{"from_index":1048,"to_index":1628,"sum":165964,"residue":174},{"from_index":1628,"to_index":468,"sum":173044,"residue":174}],"minimal_cycle":[174],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[468,1048],"circle_positions":590,"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":[469,1049,1629],"clock_positions":[469,1049,1629],"native_values":[359,359,64],"rotation_degrees":97.03448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,359,64],"beta":{"interval_sums":[169856,165726,173396],"interval_residues":[526,526,526],"display_cycle":[526,526,526],"intervals":[{"from_index":469,"to_index":1049,"sum":169856,"residue":526},{"from_index":1049,"to_index":1629,"sum":165726,"residue":526},{"from_index":1629,"to_index":469,"sum":173396,"residue":526}],"minimal_cycle":[526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":526,"start_interval_clock_positions":[469,1049],"circle_positions":590,"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":[470,1050,1630],"clock_positions":[470,1050,1630],"native_values":[185,480,185],"rotation_degrees":97.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[185,480,185],"beta":{"interval_sums":[170030,165310,173570],"interval_residues":[110,110,110],"display_cycle":[110,110,110],"intervals":[{"from_index":470,"to_index":1050,"sum":170030,"residue":110},{"from_index":1050,"to_index":1630,"sum":165310,"residue":110},{"from_index":1630,"to_index":470,"sum":173570,"residue":110}],"minimal_cycle":[110],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":110,"start_interval_clock_positions":[470,1050],"circle_positions":590,"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":[471,1051,1631],"clock_positions":[471,1051,1631],"native_values":[544,249,249],"rotation_degrees":97.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[544,249,249],"beta":{"interval_sums":[169966,165246,173506],"interval_residues":[46,46,46],"display_cycle":[46,46,46],"intervals":[{"from_index":471,"to_index":1051,"sum":169966,"residue":46},{"from_index":1051,"to_index":1631,"sum":165246,"residue":46},{"from_index":1631,"to_index":471,"sum":173506,"residue":46}],"minimal_cycle":[46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[471,1051],"circle_positions":590,"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":[472,1052,1632],"clock_positions":[472,1052,1632],"native_values":[139,139,434],"rotation_degrees":97.65517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[139,139,434],"beta":{"interval_sums":[170076,165356,173616],"interval_residues":[156,156,156],"display_cycle":[156,156,156],"intervals":[{"from_index":472,"to_index":1052,"sum":170076,"residue":156},{"from_index":1052,"to_index":1632,"sum":165356,"residue":156},{"from_index":1632,"to_index":472,"sum":173616,"residue":156}],"minimal_cycle":[156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[472,1052],"circle_positions":590,"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":[473,1053,1633],"clock_positions":[473,1053,1633],"native_values":[93,388,93],"rotation_degrees":97.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,388,93],"beta":{"interval_sums":[170122,165402,173662],"interval_residues":[202,202,202],"display_cycle":[202,202,202],"intervals":[{"from_index":473,"to_index":1053,"sum":170122,"residue":202},{"from_index":1053,"to_index":1633,"sum":165402,"residue":202},{"from_index":1633,"to_index":473,"sum":173662,"residue":202}],"minimal_cycle":[202],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[473,1053],"circle_positions":590,"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":[474,1054,1634],"clock_positions":[474,1054,1634],"native_values":[232,527,527],"rotation_degrees":98.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[232,527,527],"beta":{"interval_sums":[170278,164968,173228],"interval_residues":[358,358,358],"display_cycle":[358,358,358],"intervals":[{"from_index":474,"to_index":1054,"sum":170278,"residue":358},{"from_index":1054,"to_index":1634,"sum":164968,"residue":358},{"from_index":1634,"to_index":474,"sum":173228,"residue":358}],"minimal_cycle":[358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":358,"start_interval_clock_positions":[474,1054],"circle_positions":590,"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":[475,1055,1635],"clock_positions":[475,1055,1635],"native_values":[325,325,30],"rotation_degrees":98.27586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,325,30],"beta":{"interval_sums":[170480,165170,173430],"interval_residues":[560,560,560],"display_cycle":[560,560,560],"intervals":[{"from_index":475,"to_index":1055,"sum":170480,"residue":560},{"from_index":1055,"to_index":1635,"sum":165170,"residue":560},{"from_index":1635,"to_index":475,"sum":173430,"residue":560}],"minimal_cycle":[560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":560,"start_interval_clock_positions":[475,1055],"circle_positions":590,"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":[476,1056,1636],"clock_positions":[476,1056,1636],"native_values":[557,262,557],"rotation_degrees":98.48275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,262,557],"beta":{"interval_sums":[170248,164938,173198],"interval_residues":[328,328,328],"display_cycle":[328,328,328],"intervals":[{"from_index":476,"to_index":1056,"sum":170248,"residue":328},{"from_index":1056,"to_index":1636,"sum":164938,"residue":328},{"from_index":1636,"to_index":476,"sum":173198,"residue":328}],"minimal_cycle":[328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":328,"start_interval_clock_positions":[476,1056],"circle_positions":590,"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":[477,1057,1637],"clock_positions":[477,1057,1637],"native_values":[292,587,587],"rotation_degrees":98.6896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,587,587],"beta":{"interval_sums":[170218,164908,173168],"interval_residues":[298,298,298],"display_cycle":[298,298,298],"intervals":[{"from_index":477,"to_index":1057,"sum":170218,"residue":298},{"from_index":1057,"to_index":1637,"sum":164908,"residue":298},{"from_index":1637,"to_index":477,"sum":173168,"residue":298}],"minimal_cycle":[298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[477,1057],"circle_positions":590,"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":[478,1058,1638],"clock_positions":[478,1058,1638],"native_values":[259,259,554],"rotation_degrees":98.89655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,259,554],"beta":{"interval_sums":[170546,165236,172906],"interval_residues":[36,36,36],"display_cycle":[36,36,36],"intervals":[{"from_index":478,"to_index":1058,"sum":170546,"residue":36},{"from_index":1058,"to_index":1638,"sum":165236,"residue":36},{"from_index":1638,"to_index":478,"sum":172906,"residue":36}],"minimal_cycle":[36],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[478,1058],"circle_positions":590,"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":[479,1059,1639],"clock_positions":[479,1059,1639],"native_values":[551,256,551],"rotation_degrees":99.10344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,256,551],"beta":{"interval_sums":[170254,165534,172614],"interval_residues":[334,334,334],"display_cycle":[334,334,334],"intervals":[{"from_index":479,"to_index":1059,"sum":170254,"residue":334},{"from_index":1059,"to_index":1639,"sum":165534,"residue":334},{"from_index":1639,"to_index":479,"sum":172614,"residue":334}],"minimal_cycle":[334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[479,1059],"circle_positions":590,"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":[480,1060,1640],"clock_positions":[480,1060,1640],"native_values":[220,515,515],"rotation_degrees":99.3103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[220,515,515],"beta":{"interval_sums":[170290,165570,172650],"interval_residues":[370,370,370],"display_cycle":[370,370,370],"intervals":[{"from_index":480,"to_index":1060,"sum":170290,"residue":370},{"from_index":1060,"to_index":1640,"sum":165570,"residue":370},{"from_index":1640,"to_index":480,"sum":172650,"residue":370}],"minimal_cycle":[370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[480,1060],"circle_positions":590,"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":[481,1061,1641],"clock_positions":[481,1061,1641],"native_values":[181,181,476],"rotation_degrees":99.51724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,181,476],"beta":{"interval_sums":[170624,165904,172394],"interval_residues":[114,114,114],"display_cycle":[114,114,114],"intervals":[{"from_index":481,"to_index":1061,"sum":170624,"residue":114},{"from_index":1061,"to_index":1641,"sum":165904,"residue":114},{"from_index":1641,"to_index":481,"sum":172394,"residue":114}],"minimal_cycle":[114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[481,1061],"circle_positions":590,"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":[482,1062,1642],"clock_positions":[482,1062,1642],"native_values":[401,106,401],"rotation_degrees":99.72413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[401,106,401],"beta":{"interval_sums":[170404,166274,172174],"interval_residues":[484,484,484],"display_cycle":[484,484,484],"intervals":[{"from_index":482,"to_index":1062,"sum":170404,"residue":484},{"from_index":1062,"to_index":1642,"sum":166274,"residue":484},{"from_index":1642,"to_index":482,"sum":172174,"residue":484}],"minimal_cycle":[484],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":484,"start_interval_clock_positions":[482,1062],"circle_positions":590,"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":[483,1063,1643],"clock_positions":[483,1063,1643],"native_values":[582,287,287],"rotation_degrees":99.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[582,287,287],"beta":{"interval_sums":[169928,166388,172288],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":483,"to_index":1063,"sum":169928,"residue":8},{"from_index":1063,"to_index":1643,"sum":166388,"residue":8},{"from_index":1643,"to_index":483,"sum":172288,"residue":8}],"minimal_cycle":[8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[483,1063],"circle_positions":590,"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":[484,1064,1644],"clock_positions":[484,1064,1644],"native_values":[393,393,98],"rotation_degrees":100.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[393,393,98],"beta":{"interval_sums":[169822,166282,172772],"interval_residues":[492,492,492],"display_cycle":[492,492,492],"intervals":[{"from_index":484,"to_index":1064,"sum":169822,"residue":492},{"from_index":1064,"to_index":1644,"sum":166282,"residue":492},{"from_index":1644,"to_index":484,"sum":172772,"residue":492}],"minimal_cycle":[492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":492,"start_interval_clock_positions":[484,1064],"circle_positions":590,"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":[485,1065,1645],"clock_positions":[485,1065,1645],"native_values":[385,90,385],"rotation_degrees":100.34482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[385,90,385],"beta":{"interval_sums":[169830,166290,172780],"interval_residues":[500,500,500],"display_cycle":[500,500,500],"intervals":[{"from_index":485,"to_index":1065,"sum":169830,"residue":500},{"from_index":1065,"to_index":1645,"sum":166290,"residue":500},{"from_index":1645,"to_index":485,"sum":172780,"residue":500}],"minimal_cycle":[500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[485,1065],"circle_positions":590,"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":[486,1066,1646],"clock_positions":[486,1066,1646],"native_values":[188,483,483],"rotation_degrees":100.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[188,483,483],"beta":{"interval_sums":[169732,166192,172682],"interval_residues":[402,402,402],"display_cycle":[402,402,402],"intervals":[{"from_index":486,"to_index":1066,"sum":169732,"residue":402},{"from_index":1066,"to_index":1646,"sum":166192,"residue":402},{"from_index":1646,"to_index":486,"sum":172682,"residue":402}],"minimal_cycle":[402],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[486,1066],"circle_positions":590,"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":[487,1067,1647],"clock_positions":[487,1067,1647],"native_values":[573,573,278],"rotation_degrees":100.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,573,278],"beta":{"interval_sums":[169642,166102,172592],"interval_residues":[312,312,312],"display_cycle":[312,312,312],"intervals":[{"from_index":487,"to_index":1067,"sum":169642,"residue":312},{"from_index":1067,"to_index":1647,"sum":166102,"residue":312},{"from_index":1647,"to_index":487,"sum":172592,"residue":312}],"minimal_cycle":[312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[487,1067],"circle_positions":590,"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":[488,1068,1648],"clock_positions":[488,1068,1648],"native_values":[171,466,171],"rotation_degrees":100.96551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,466,171],"beta":{"interval_sums":[170044,165914,172994],"interval_residues":[124,124,124],"display_cycle":[124,124,124],"intervals":[{"from_index":488,"to_index":1068,"sum":170044,"residue":124},{"from_index":1068,"to_index":1648,"sum":165914,"residue":124},{"from_index":1648,"to_index":488,"sum":172994,"residue":124}],"minimal_cycle":[124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[488,1068],"circle_positions":590,"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":[489,1069,1649],"clock_positions":[489,1069,1649],"native_values":[154,449,449],"rotation_degrees":101.17241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[154,449,449],"beta":{"interval_sums":[170356,165636,172716],"interval_residues":[436,436,436],"display_cycle":[436,436,436],"intervals":[{"from_index":489,"to_index":1069,"sum":170356,"residue":436},{"from_index":1069,"to_index":1649,"sum":165636,"residue":436},{"from_index":1649,"to_index":489,"sum":172716,"residue":436}],"minimal_cycle":[436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[489,1069],"circle_positions":590,"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":[490,1070,1650],"clock_positions":[490,1070,1650],"native_values":[325,325,30],"rotation_degrees":101.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,325,30],"beta":{"interval_sums":[170480,165760,172840],"interval_residues":[560,560,560],"display_cycle":[560,560,560],"intervals":[{"from_index":490,"to_index":1070,"sum":170480,"residue":560},{"from_index":1070,"to_index":1650,"sum":165760,"residue":560},{"from_index":1650,"to_index":490,"sum":172840,"residue":560}],"minimal_cycle":[560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":560,"start_interval_clock_positions":[490,1070],"circle_positions":590,"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":[491,1071,1651],"clock_positions":[491,1071,1651],"native_values":[479,184,479],"rotation_degrees":101.58620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[479,184,479],"beta":{"interval_sums":[170326,165606,172686],"interval_residues":[406,406,406],"display_cycle":[406,406,406],"intervals":[{"from_index":491,"to_index":1071,"sum":170326,"residue":406},{"from_index":1071,"to_index":1651,"sum":165606,"residue":406},{"from_index":1651,"to_index":491,"sum":172686,"residue":406}],"minimal_cycle":[406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[491,1071],"circle_positions":590,"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":[492,1072,1652],"clock_positions":[492,1072,1652],"native_values":[214,509,509],"rotation_degrees":101.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[214,509,509],"beta":{"interval_sums":[170296,165576,172656],"interval_residues":[376,376,376],"display_cycle":[376,376,376],"intervals":[{"from_index":492,"to_index":1072,"sum":170296,"residue":376},{"from_index":1072,"to_index":1652,"sum":165576,"residue":376},{"from_index":1652,"to_index":492,"sum":172656,"residue":376}],"minimal_cycle":[376],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":376,"start_interval_clock_positions":[492,1072],"circle_positions":590,"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":[493,1073,1653],"clock_positions":[493,1073,1653],"native_values":[103,103,398],"rotation_degrees":102.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[103,103,398],"beta":{"interval_sums":[170702,165982,172472],"interval_residues":[192,192,192],"display_cycle":[192,192,192],"intervals":[{"from_index":493,"to_index":1073,"sum":170702,"residue":192},{"from_index":1073,"to_index":1653,"sum":165982,"residue":192},{"from_index":1653,"to_index":493,"sum":172472,"residue":192}],"minimal_cycle":[192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[493,1073],"circle_positions":590,"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":[494,1074,1654],"clock_positions":[494,1074,1654],"native_values":[317,22,317],"rotation_degrees":102.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,22,317],"beta":{"interval_sums":[170488,166358,172258],"interval_residues":[568,568,568],"display_cycle":[568,568,568],"intervals":[{"from_index":494,"to_index":1074,"sum":170488,"residue":568},{"from_index":1074,"to_index":1654,"sum":166358,"residue":568},{"from_index":1654,"to_index":494,"sum":172258,"residue":568}],"minimal_cycle":[568],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":568,"start_interval_clock_positions":[494,1074],"circle_positions":590,"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":[495,1075,1655],"clock_positions":[495,1075,1655],"native_values":[420,125,125],"rotation_degrees":102.41379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[420,125,125],"beta":{"interval_sums":[170090,166550,172450],"interval_residues":[170,170,170],"display_cycle":[170,170,170],"intervals":[{"from_index":495,"to_index":1075,"sum":170090,"residue":170},{"from_index":1075,"to_index":1655,"sum":166550,"residue":170},{"from_index":1655,"to_index":495,"sum":172450,"residue":170}],"minimal_cycle":[170],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[495,1075],"circle_positions":590,"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":[496,1076,1656],"clock_positions":[496,1076,1656],"native_values":[147,147,442],"rotation_degrees":102.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[147,147,442],"beta":{"interval_sums":[170068,166528,172428],"interval_residues":[148,148,148],"display_cycle":[148,148,148],"intervals":[{"from_index":496,"to_index":1076,"sum":170068,"residue":148},{"from_index":1076,"to_index":1656,"sum":166528,"residue":148},{"from_index":1656,"to_index":496,"sum":172428,"residue":148}],"minimal_cycle":[148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[496,1076],"circle_positions":590,"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":[497,1077,1657],"clock_positions":[497,1077,1657],"native_values":[567,272,567],"rotation_degrees":102.82758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,272,567],"beta":{"interval_sums":[169648,166698,172008],"interval_residues":[318,318,318],"display_cycle":[318,318,318],"intervals":[{"from_index":497,"to_index":1077,"sum":169648,"residue":318},{"from_index":1077,"to_index":1657,"sum":166698,"residue":318},{"from_index":1657,"to_index":497,"sum":172008,"residue":318}],"minimal_cycle":[318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":318,"start_interval_clock_positions":[497,1077],"circle_positions":590,"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":[498,1078,1658],"clock_positions":[498,1078,1658],"native_values":[124,419,419],"rotation_degrees":103.03448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[124,419,419],"beta":{"interval_sums":[169796,166846,172156],"interval_residues":[466,466,466],"display_cycle":[466,466,466],"intervals":[{"from_index":498,"to_index":1078,"sum":169796,"residue":466},{"from_index":1078,"to_index":1658,"sum":166846,"residue":466},{"from_index":1658,"to_index":498,"sum":172156,"residue":466}],"minimal_cycle":[466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[498,1078],"circle_positions":590,"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":[499,1079,1659],"clock_positions":[499,1079,1659],"native_values":[101,101,396],"rotation_degrees":103.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,101,396],"beta":{"interval_sums":[170114,167164,171884],"interval_residues":[194,194,194],"display_cycle":[194,194,194],"intervals":[{"from_index":499,"to_index":1079,"sum":170114,"residue":194},{"from_index":1079,"to_index":1659,"sum":167164,"residue":194},{"from_index":1659,"to_index":499,"sum":171884,"residue":194}],"minimal_cycle":[194],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[499,1079],"circle_positions":590,"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":[500,1080,1660],"clock_positions":[500,1080,1660],"native_values":[225,520,225],"rotation_degrees":103.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[225,520,225],"beta":{"interval_sums":[169990,167040,171760],"interval_residues":[70,70,70],"display_cycle":[70,70,70],"intervals":[{"from_index":500,"to_index":1080,"sum":169990,"residue":70},{"from_index":1080,"to_index":1660,"sum":167040,"residue":70},{"from_index":1660,"to_index":500,"sum":171760,"residue":70}],"minimal_cycle":[70],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[500,1080],"circle_positions":590,"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":[501,1081,1661],"clock_positions":[501,1081,1661],"native_values":[326,31,31],"rotation_degrees":103.65517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[326,31,31],"beta":{"interval_sums":[170184,167234,171954],"interval_residues":[264,264,264],"display_cycle":[264,264,264],"intervals":[{"from_index":501,"to_index":1081,"sum":170184,"residue":264},{"from_index":1081,"to_index":1661,"sum":167234,"residue":264},{"from_index":1661,"to_index":501,"sum":171954,"residue":264}],"minimal_cycle":[264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":264,"start_interval_clock_positions":[501,1081],"circle_positions":590,"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":[502,1082,1662],"clock_positions":[502,1082,1662],"native_values":[551,551,256],"rotation_degrees":103.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,551,256],"beta":{"interval_sums":[169664,166714,172024],"interval_residues":[334,334,334],"display_cycle":[334,334,334],"intervals":[{"from_index":502,"to_index":1082,"sum":169664,"residue":334},{"from_index":1082,"to_index":1662,"sum":166714,"residue":334},{"from_index":1662,"to_index":502,"sum":172024,"residue":334}],"minimal_cycle":[334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[502,1082],"circle_positions":590,"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":[503,1083,1663],"clock_positions":[503,1083,1663],"native_values":[287,582,287],"rotation_degrees":104.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,582,287],"beta":{"interval_sums":[169928,166388,172288],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":503,"to_index":1083,"sum":169928,"residue":8},{"from_index":1083,"to_index":1663,"sum":166388,"residue":8},{"from_index":1663,"to_index":503,"sum":172288,"residue":8}],"minimal_cycle":[8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[503,1083],"circle_positions":590,"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":[504,1084,1664],"clock_positions":[504,1084,1664],"native_values":[248,543,543],"rotation_degrees":104.27586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[248,543,543],"beta":{"interval_sums":[170262,166132,172032],"interval_residues":[342,342,342],"display_cycle":[342,342,342],"intervals":[{"from_index":504,"to_index":1084,"sum":170262,"residue":342},{"from_index":1084,"to_index":1664,"sum":166132,"residue":342},{"from_index":1664,"to_index":504,"sum":172032,"residue":342}],"minimal_cycle":[342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":342,"start_interval_clock_positions":[504,1084],"circle_positions":590,"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":[505,1085,1665],"clock_positions":[505,1085,1665],"native_values":[535,535,240],"rotation_degrees":104.48275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[535,535,240],"beta":{"interval_sums":[170270,166140,172040],"interval_residues":[350,350,350],"display_cycle":[350,350,350],"intervals":[{"from_index":505,"to_index":1085,"sum":170270,"residue":350},{"from_index":1085,"to_index":1665,"sum":166140,"residue":350},{"from_index":1665,"to_index":505,"sum":172040,"residue":350}],"minimal_cycle":[350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[505,1085],"circle_positions":590,"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":[506,1086,1666],"clock_positions":[506,1086,1666],"native_values":[193,488,193],"rotation_degrees":104.6896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,488,193],"beta":{"interval_sums":[170612,165892,172382],"interval_residues":[102,102,102],"display_cycle":[102,102,102],"intervals":[{"from_index":506,"to_index":1086,"sum":170612,"residue":102},{"from_index":1086,"to_index":1666,"sum":165892,"residue":102},{"from_index":1666,"to_index":506,"sum":172382,"residue":102}],"minimal_cycle":[102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":102,"start_interval_clock_positions":[506,1086],"circle_positions":590,"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":[507,1087,1667],"clock_positions":[507,1087,1667],"native_values":[138,433,433],"rotation_degrees":104.89655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[138,433,433],"beta":{"interval_sums":[170962,165652,172142],"interval_residues":[452,452,452],"display_cycle":[452,452,452],"intervals":[{"from_index":507,"to_index":1087,"sum":170962,"residue":452},{"from_index":1087,"to_index":1667,"sum":165652,"residue":452},{"from_index":1667,"to_index":507,"sum":172142,"residue":452}],"minimal_cycle":[452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[507,1087],"circle_positions":590,"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":[508,1088,1668],"clock_positions":[508,1088,1668],"native_values":[331,331,36],"rotation_degrees":105.10344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,331,36],"beta":{"interval_sums":[171064,165754,172244],"interval_residues":[554,554,554],"display_cycle":[554,554,554],"intervals":[{"from_index":508,"to_index":1088,"sum":171064,"residue":554},{"from_index":1088,"to_index":1668,"sum":165754,"residue":554},{"from_index":1668,"to_index":508,"sum":172244,"residue":554}],"minimal_cycle":[554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[508,1088],"circle_positions":590,"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":[509,1089,1669],"clock_positions":[509,1089,1669],"native_values":[469,174,469],"rotation_degrees":105.3103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,174,469],"beta":{"interval_sums":[170926,165616,172106],"interval_residues":[416,416,416],"display_cycle":[416,416,416],"intervals":[{"from_index":509,"to_index":1089,"sum":170926,"residue":416},{"from_index":1089,"to_index":1669,"sum":165616,"residue":416},{"from_index":1669,"to_index":509,"sum":172106,"residue":416}],"minimal_cycle":[416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[509,1089],"circle_positions":590,"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":[510,1090,1670],"clock_positions":[510,1090,1670],"native_values":[210,505,505],"rotation_degrees":105.51724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[210,505,505],"beta":{"interval_sums":[170890,165580,172070],"interval_residues":[380,380,380],"display_cycle":[380,380,380],"intervals":[{"from_index":510,"to_index":1090,"sum":170890,"residue":380},{"from_index":1090,"to_index":1670,"sum":165580,"residue":380},{"from_index":1670,"to_index":510,"sum":172070,"residue":380}],"minimal_cycle":[380],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":380,"start_interval_clock_positions":[510,1090],"circle_positions":590,"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":[511,1091,1671],"clock_positions":[511,1091,1671],"native_values":[89,89,384],"rotation_degrees":105.72413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,89,384],"beta":{"interval_sums":[171306,165996,171896],"interval_residues":[206,206,206],"display_cycle":[206,206,206],"intervals":[{"from_index":511,"to_index":1091,"sum":171306,"residue":206},{"from_index":1091,"to_index":1671,"sum":165996,"residue":206},{"from_index":1671,"to_index":511,"sum":171896,"residue":206}],"minimal_cycle":[206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[511,1091],"circle_positions":590,"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":[512,1092,1672],"clock_positions":[512,1092,1672],"native_values":[299,4,299],"rotation_degrees":105.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,4,299],"beta":{"interval_sums":[171096,166376,171686],"interval_residues":[586,586,586],"display_cycle":[586,586,586],"intervals":[{"from_index":512,"to_index":1092,"sum":171096,"residue":586},{"from_index":1092,"to_index":1672,"sum":166376,"residue":586},{"from_index":1672,"to_index":512,"sum":171686,"residue":586}],"minimal_cycle":[586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[512,1092],"circle_positions":590,"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":[513,1093,1673],"clock_positions":[513,1093,1673],"native_values":[388,93,93],"rotation_degrees":106.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[388,93,93],"beta":{"interval_sums":[170712,166582,171892],"interval_residues":[202,202,202],"display_cycle":[202,202,202],"intervals":[{"from_index":513,"to_index":1093,"sum":170712,"residue":202},{"from_index":1093,"to_index":1673,"sum":166582,"residue":202},{"from_index":1673,"to_index":513,"sum":171892,"residue":202}],"minimal_cycle":[202],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[513,1093],"circle_positions":590,"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":[514,1094,1674],"clock_positions":[514,1094,1674],"native_values":[97,97,392],"rotation_degrees":106.34482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[97,97,392],"beta":{"interval_sums":[170708,166578,171888],"interval_residues":[198,198,198],"display_cycle":[198,198,198],"intervals":[{"from_index":514,"to_index":1094,"sum":170708,"residue":198},{"from_index":1094,"to_index":1674,"sum":166578,"residue":198},{"from_index":1674,"to_index":514,"sum":171888,"residue":198}],"minimal_cycle":[198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[514,1094],"circle_positions":590,"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":[515,1095,1675],"clock_positions":[515,1095,1675],"native_values":[485,190,485],"rotation_degrees":106.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,190,485],"beta":{"interval_sums":[170320,166780,171500],"interval_residues":[400,400,400],"display_cycle":[400,400,400],"intervals":[{"from_index":515,"to_index":1095,"sum":170320,"residue":400},{"from_index":1095,"to_index":1675,"sum":166780,"residue":400},{"from_index":1675,"to_index":515,"sum":171500,"residue":400}],"minimal_cycle":[400],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":400,"start_interval_clock_positions":[515,1095],"circle_positions":590,"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":[516,1096,1676],"clock_positions":[516,1096,1676],"native_values":[582,287,287],"rotation_degrees":106.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[582,287,287],"beta":{"interval_sums":[169928,166978,171698],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":516,"to_index":1096,"sum":169928,"residue":8},{"from_index":1096,"to_index":1676,"sum":166978,"residue":8},{"from_index":1676,"to_index":516,"sum":171698,"residue":8}],"minimal_cycle":[8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[516,1096],"circle_positions":590,"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":[517,1097,1677],"clock_positions":[517,1097,1677],"native_values":[477,477,182],"rotation_degrees":106.96551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,477,182],"beta":{"interval_sums":[169738,166788,172098],"interval_residues":[408,408,408],"display_cycle":[408,408,408],"intervals":[{"from_index":517,"to_index":1097,"sum":169738,"residue":408},{"from_index":1097,"to_index":1677,"sum":166788,"residue":408},{"from_index":1677,"to_index":517,"sum":172098,"residue":408}],"minimal_cycle":[408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[517,1097],"circle_positions":590,"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":[518,1098,1678],"clock_positions":[518,1098,1678],"native_values":[469,174,469],"rotation_degrees":107.17241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,174,469],"beta":{"interval_sums":[169746,166796,172106],"interval_residues":[416,416,416],"display_cycle":[416,416,416],"intervals":[{"from_index":518,"to_index":1098,"sum":169746,"residue":416},{"from_index":1098,"to_index":1678,"sum":166796,"residue":416},{"from_index":1678,"to_index":518,"sum":172106,"residue":416}],"minimal_cycle":[416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[518,1098],"circle_positions":590,"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":[519,1099,1679],"clock_positions":[519,1099,1679],"native_values":[356,61,61],"rotation_degrees":107.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[356,61,61],"beta":{"interval_sums":[169564,167204,172514],"interval_residues":[234,234,234],"display_cycle":[234,234,234],"intervals":[{"from_index":519,"to_index":1099,"sum":169564,"residue":234},{"from_index":1099,"to_index":1679,"sum":167204,"residue":234},{"from_index":1679,"to_index":519,"sum":172514,"residue":234}],"minimal_cycle":[234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[519,1099],"circle_positions":590,"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":[520,1100,1680],"clock_positions":[520,1100,1680],"native_values":[235,235,530],"rotation_degrees":107.58620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,235,530],"beta":{"interval_sums":[169390,167030,172340],"interval_residues":[60,60,60],"display_cycle":[60,60,60],"intervals":[{"from_index":520,"to_index":1100,"sum":169390,"residue":60},{"from_index":1100,"to_index":1680,"sum":167030,"residue":60},{"from_index":1680,"to_index":520,"sum":172340,"residue":60}],"minimal_cycle":[60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[520,1100],"circle_positions":590,"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":[521,1101,1681],"clock_positions":[521,1101,1681],"native_values":[1,296,1],"rotation_degrees":107.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,296,1],"beta":{"interval_sums":[169624,167264,172574],"interval_residues":[294,294,294],"display_cycle":[294,294,294],"intervals":[{"from_index":521,"to_index":1101,"sum":169624,"residue":294},{"from_index":1101,"to_index":1681,"sum":167264,"residue":294},{"from_index":1681,"to_index":521,"sum":172574,"residue":294}],"minimal_cycle":[294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[521,1101],"circle_positions":590,"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":[522,1102,1682],"clock_positions":[522,1102,1682],"native_values":[236,531,531],"rotation_degrees":108.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[236,531,531],"beta":{"interval_sums":[169684,166734,172044],"interval_residues":[354,354,354],"display_cycle":[354,354,354],"intervals":[{"from_index":522,"to_index":1102,"sum":169684,"residue":354},{"from_index":1102,"to_index":1682,"sum":166734,"residue":354},{"from_index":1682,"to_index":522,"sum":172044,"residue":354}],"minimal_cycle":[354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":354,"start_interval_clock_positions":[522,1102],"circle_positions":590,"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":[523,1103,1683],"clock_positions":[523,1103,1683],"native_values":[237,237,532],"rotation_degrees":108.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,237,532],"beta":{"interval_sums":[169978,167028,171748],"interval_residues":[58,58,58],"display_cycle":[58,58,58],"intervals":[{"from_index":523,"to_index":1103,"sum":169978,"residue":58},{"from_index":1103,"to_index":1683,"sum":167028,"residue":58},{"from_index":1683,"to_index":523,"sum":171748,"residue":58}],"minimal_cycle":[58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[523,1103],"circle_positions":590,"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":[524,1104,1684],"clock_positions":[524,1104,1684],"native_values":[473,178,473],"rotation_degrees":108.41379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,178,473],"beta":{"interval_sums":[169742,167382,171512],"interval_residues":[412,412,412],"display_cycle":[412,412,412],"intervals":[{"from_index":524,"to_index":1104,"sum":169742,"residue":412},{"from_index":1104,"to_index":1684,"sum":167382,"residue":412},{"from_index":1684,"to_index":524,"sum":171512,"residue":412}],"minimal_cycle":[412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[524,1104],"circle_positions":590,"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":[525,1105,1685],"clock_positions":[525,1105,1685],"native_values":[120,415,415],"rotation_degrees":108.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[120,415,415],"beta":{"interval_sums":[169800,167440,171570],"interval_residues":[470,470,470],"display_cycle":[470,470,470],"intervals":[{"from_index":525,"to_index":1105,"sum":169800,"residue":470},{"from_index":1105,"to_index":1685,"sum":167440,"residue":470},{"from_index":1685,"to_index":525,"sum":171570,"residue":470}],"minimal_cycle":[470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[525,1105],"circle_positions":590,"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":[526,1106,1686],"clock_positions":[526,1106,1686],"native_values":[3,3,298],"rotation_degrees":108.82758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,3,298],"beta":{"interval_sums":[170212,167852,171392],"interval_residues":[292,292,292],"display_cycle":[292,292,292],"intervals":[{"from_index":526,"to_index":1106,"sum":170212,"residue":292},{"from_index":1106,"to_index":1686,"sum":167852,"residue":292},{"from_index":1686,"to_index":526,"sum":171392,"residue":292}],"minimal_cycle":[292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[526,1106],"circle_positions":590,"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":[527,1107,1687],"clock_positions":[527,1107,1687],"native_values":[123,418,123],"rotation_degrees":109.03448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,418,123],"beta":{"interval_sums":[170092,167732,171272],"interval_residues":[172,172,172],"display_cycle":[172,172,172],"intervals":[{"from_index":527,"to_index":1107,"sum":170092,"residue":172},{"from_index":1107,"to_index":1687,"sum":167732,"residue":172},{"from_index":1687,"to_index":527,"sum":171272,"residue":172}],"minimal_cycle":[172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":172,"start_interval_clock_positions":[527,1107],"circle_positions":590,"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":[528,1108,1688],"clock_positions":[528,1108,1688],"native_values":[126,421,421],"rotation_degrees":109.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[126,421,421],"beta":{"interval_sums":[170384,167434,170974],"interval_residues":[464,464,464],"display_cycle":[464,464,464],"intervals":[{"from_index":528,"to_index":1108,"sum":170384,"residue":464},{"from_index":1108,"to_index":1688,"sum":167434,"residue":464},{"from_index":1688,"to_index":528,"sum":170974,"residue":464}],"minimal_cycle":[464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":464,"start_interval_clock_positions":[528,1108],"circle_positions":590,"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":[529,1109,1689],"clock_positions":[529,1109,1689],"native_values":[249,249,544],"rotation_degrees":109.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,249,544],"beta":{"interval_sums":[170556,167606,170556],"interval_residues":[46,46,46],"display_cycle":[46,46,46],"intervals":[{"from_index":529,"to_index":1109,"sum":170556,"residue":46},{"from_index":1109,"to_index":1689,"sum":167606,"residue":46},{"from_index":1689,"to_index":529,"sum":170556,"residue":46}],"minimal_cycle":[46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[529,1109],"circle_positions":590,"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":[530,1110,1690],"clock_positions":[530,1110,1690],"native_values":[375,80,375],"rotation_degrees":109.65517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[375,80,375],"beta":{"interval_sums":[170430,168070,170430],"interval_residues":[510,510,510],"display_cycle":[510,510,510],"intervals":[{"from_index":530,"to_index":1110,"sum":170430,"residue":510},{"from_index":1110,"to_index":1690,"sum":168070,"residue":510},{"from_index":1690,"to_index":530,"sum":170430,"residue":510}],"minimal_cycle":[510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[530,1110],"circle_positions":590,"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":[531,1111,1691],"clock_positions":[531,1111,1691],"native_values":[34,329,329],"rotation_degrees":109.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,329,329],"beta":{"interval_sums":[170476,168116,170476],"interval_residues":[556,556,556],"display_cycle":[556,556,556],"intervals":[{"from_index":531,"to_index":1111,"sum":170476,"residue":556},{"from_index":1111,"to_index":1691,"sum":168116,"residue":556},{"from_index":1691,"to_index":531,"sum":170476,"residue":556}],"minimal_cycle":[556],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":556,"start_interval_clock_positions":[531,1111],"circle_positions":590,"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":[532,1112,1692],"clock_positions":[532,1112,1692],"native_values":[409,409,114],"rotation_degrees":110.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,409,114],"beta":{"interval_sums":[170396,168036,170396],"interval_residues":[476,476,476],"display_cycle":[476,476,476],"intervals":[{"from_index":532,"to_index":1112,"sum":170396,"residue":476},{"from_index":1112,"to_index":1692,"sum":168036,"residue":476},{"from_index":1692,"to_index":532,"sum":170396,"residue":476}],"minimal_cycle":[476],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":476,"start_interval_clock_positions":[532,1112],"circle_positions":590,"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":[533,1113,1693],"clock_positions":[533,1113,1693],"native_values":[443,148,443],"rotation_degrees":110.27586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,148,443],"beta":{"interval_sums":[170362,168002,170362],"interval_residues":[442,442,442],"display_cycle":[442,442,442],"intervals":[{"from_index":533,"to_index":1113,"sum":170362,"residue":442},{"from_index":1113,"to_index":1693,"sum":168002,"residue":442},{"from_index":1693,"to_index":533,"sum":170362,"residue":442}],"minimal_cycle":[442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[533,1113],"circle_positions":590,"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":[534,1114,1694],"clock_positions":[534,1114,1694],"native_values":[262,557,557],"rotation_degrees":110.48275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[262,557,557],"beta":{"interval_sums":[170248,167888,170248],"interval_residues":[328,328,328],"display_cycle":[328,328,328],"intervals":[{"from_index":534,"to_index":1114,"sum":170248,"residue":328},{"from_index":1114,"to_index":1694,"sum":167888,"residue":328},{"from_index":1694,"to_index":534,"sum":170248,"residue":328}],"minimal_cycle":[328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":328,"start_interval_clock_positions":[534,1114],"circle_positions":590,"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":[535,1115,1695],"clock_positions":[535,1115,1695],"native_values":[115,115,410],"rotation_degrees":110.6896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,115,410],"beta":{"interval_sums":[170690,168330,170100],"interval_residues":[180,180,180],"display_cycle":[180,180,180],"intervals":[{"from_index":535,"to_index":1115,"sum":170690,"residue":180},{"from_index":1115,"to_index":1695,"sum":168330,"residue":180},{"from_index":1695,"to_index":535,"sum":170100,"residue":180}],"minimal_cycle":[180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[535,1115],"circle_positions":590,"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":[536,1116,1696],"clock_positions":[536,1116,1696],"native_values":[377,82,377],"rotation_degrees":110.89655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,82,377],"beta":{"interval_sums":[170428,168658,169838],"interval_residues":[508,508,508],"display_cycle":[508,508,508],"intervals":[{"from_index":536,"to_index":1116,"sum":170428,"residue":508},{"from_index":1116,"to_index":1696,"sum":168658,"residue":508},{"from_index":1696,"to_index":536,"sum":169838,"residue":508}],"minimal_cycle":[508],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":508,"start_interval_clock_positions":[536,1116],"circle_positions":590,"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":[537,1117,1697],"clock_positions":[537,1117,1697],"native_values":[492,197,197],"rotation_degrees":111.10344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,197,197],"beta":{"interval_sums":[170018,168838,170018],"interval_residues":[98,98,98],"display_cycle":[98,98,98],"intervals":[{"from_index":537,"to_index":1117,"sum":170018,"residue":98},{"from_index":1117,"to_index":1697,"sum":168838,"residue":98},{"from_index":1697,"to_index":537,"sum":170018,"residue":98}],"minimal_cycle":[98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":98,"start_interval_clock_positions":[537,1117],"circle_positions":590,"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":[538,1118,1698],"clock_positions":[538,1118,1698],"native_values":[279,279,574],"rotation_degrees":111.3103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,279,574],"beta":{"interval_sums":[169936,168756,169936],"interval_residues":[16,16,16],"display_cycle":[16,16,16],"intervals":[{"from_index":538,"to_index":1118,"sum":169936,"residue":16},{"from_index":1118,"to_index":1698,"sum":168756,"residue":16},{"from_index":1698,"to_index":538,"sum":169936,"residue":16}],"minimal_cycle":[16],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[538,1118],"circle_positions":590,"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":[539,1119,1699],"clock_positions":[539,1119,1699],"native_values":[181,476,181],"rotation_degrees":111.51724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,476,181],"beta":{"interval_sums":[170034,168854,170034],"interval_residues":[114,114,114],"display_cycle":[114,114,114],"intervals":[{"from_index":539,"to_index":1119,"sum":170034,"residue":114},{"from_index":1119,"to_index":1699,"sum":168854,"residue":114},{"from_index":1699,"to_index":539,"sum":170034,"residue":114}],"minimal_cycle":[114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[539,1119],"circle_positions":590,"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":[540,1120,1700],"clock_positions":[540,1120,1700],"native_values":[460,165,165],"rotation_degrees":111.72413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[460,165,165],"beta":{"interval_sums":[170050,168870,170050],"interval_residues":[130,130,130],"display_cycle":[130,130,130],"intervals":[{"from_index":540,"to_index":1120,"sum":170050,"residue":130},{"from_index":1120,"to_index":1700,"sum":168870,"residue":130},{"from_index":1700,"to_index":540,"sum":170050,"residue":130}],"minimal_cycle":[130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[540,1120],"circle_positions":590,"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":[541,1121,1701],"clock_positions":[541,1121,1701],"native_values":[51,51,346],"rotation_degrees":111.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,51,346],"beta":{"interval_sums":[170164,168984,170164],"interval_residues":[244,244,244],"display_cycle":[244,244,244],"intervals":[{"from_index":541,"to_index":1121,"sum":170164,"residue":244},{"from_index":1121,"to_index":1701,"sum":168984,"residue":244},{"from_index":1701,"to_index":541,"sum":170164,"residue":244}],"minimal_cycle":[244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[541,1121],"circle_positions":590,"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":[542,1122,1702],"clock_positions":[542,1122,1702],"native_values":[511,216,511],"rotation_degrees":112.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[511,216,511],"beta":{"interval_sums":[169704,169114,169704],"interval_residues":[374,374,374],"display_cycle":[374,374,374],"intervals":[{"from_index":542,"to_index":1122,"sum":169704,"residue":374},{"from_index":1122,"to_index":1702,"sum":169114,"residue":374},{"from_index":1702,"to_index":542,"sum":169704,"residue":374}],"minimal_cycle":[374],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":374,"start_interval_clock_positions":[542,1122],"circle_positions":590,"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":[543,1123,1703],"clock_positions":[543,1123,1703],"native_values":[562,267,267],"rotation_degrees":112.34482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[562,267,267],"beta":{"interval_sums":[169358,169358,169948],"interval_residues":[28,28,28],"display_cycle":[28,28,28],"intervals":[{"from_index":543,"to_index":1123,"sum":169358,"residue":28},{"from_index":1123,"to_index":1703,"sum":169358,"residue":28},{"from_index":1703,"to_index":543,"sum":169948,"residue":28}],"minimal_cycle":[28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[543,1123],"circle_positions":590,"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":[544,1124,1704],"clock_positions":[544,1124,1704],"native_values":[483,483,188],"rotation_degrees":112.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,483,188],"beta":{"interval_sums":[169142,169142,170322],"interval_residues":[402,402,402],"display_cycle":[402,402,402],"intervals":[{"from_index":544,"to_index":1124,"sum":169142,"residue":402},{"from_index":1124,"to_index":1704,"sum":169142,"residue":402},{"from_index":1704,"to_index":544,"sum":170322,"residue":402}],"minimal_cycle":[402],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[544,1124],"circle_positions":590,"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":[545,1125,1705],"clock_positions":[545,1125,1705],"native_values":[455,160,455],"rotation_degrees":112.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[455,160,455],"beta":{"interval_sums":[169170,169170,170350],"interval_residues":[430,430,430],"display_cycle":[430,430,430],"intervals":[{"from_index":545,"to_index":1125,"sum":169170,"residue":430},{"from_index":1125,"to_index":1705,"sum":169170,"residue":430},{"from_index":1705,"to_index":545,"sum":170350,"residue":430}],"minimal_cycle":[430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[545,1125],"circle_positions":590,"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":[546,1126,1706],"clock_positions":[546,1126,1706],"native_values":[348,53,53],"rotation_degrees":112.96551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[348,53,53],"beta":{"interval_sums":[168982,169572,170752],"interval_residues":[242,242,242],"display_cycle":[242,242,242],"intervals":[{"from_index":546,"to_index":1126,"sum":168982,"residue":242},{"from_index":1126,"to_index":1706,"sum":169572,"residue":242},{"from_index":1706,"to_index":546,"sum":170752,"residue":242}],"minimal_cycle":[242],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":242,"start_interval_clock_positions":[546,1126],"circle_positions":590,"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":[547,1127,1707],"clock_positions":[547,1127,1707],"native_values":[213,213,508],"rotation_degrees":113.17241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,213,508],"beta":{"interval_sums":[168822,169412,170592],"interval_residues":[82,82,82],"display_cycle":[82,82,82],"intervals":[{"from_index":547,"to_index":1127,"sum":168822,"residue":82},{"from_index":1127,"to_index":1707,"sum":169412,"residue":82},{"from_index":1707,"to_index":547,"sum":170592,"residue":82}],"minimal_cycle":[82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[547,1127],"circle_positions":590,"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":[548,1128,1708],"clock_positions":[548,1128,1708],"native_values":[561,266,561],"rotation_degrees":113.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,266,561],"beta":{"interval_sums":[168474,169654,170244],"interval_residues":[324,324,324],"display_cycle":[324,324,324],"intervals":[{"from_index":548,"to_index":1128,"sum":168474,"residue":324},{"from_index":1128,"to_index":1708,"sum":169654,"residue":324},{"from_index":1708,"to_index":548,"sum":170244,"residue":324}],"minimal_cycle":[324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[548,1128],"circle_positions":590,"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":[549,1129,1709],"clock_positions":[549,1129,1709],"native_values":[184,479,479],"rotation_degrees":113.58620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[184,479,479],"beta":{"interval_sums":[168556,169736,170326],"interval_residues":[406,406,406],"display_cycle":[406,406,406],"intervals":[{"from_index":549,"to_index":1129,"sum":168556,"residue":406},{"from_index":1129,"to_index":1709,"sum":169736,"residue":406},{"from_index":1709,"to_index":549,"sum":170326,"residue":406}],"minimal_cycle":[406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[549,1129],"circle_positions":590,"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":[550,1130,1710],"clock_positions":[550,1130,1710],"native_values":[155,155,450],"rotation_degrees":113.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,155,450],"beta":{"interval_sums":[168880,170060,170060],"interval_residues":[140,140,140],"display_cycle":[140,140,140],"intervals":[{"from_index":550,"to_index":1130,"sum":168880,"residue":140},{"from_index":1130,"to_index":1710,"sum":170060,"residue":140},{"from_index":1710,"to_index":550,"sum":170060,"residue":140}],"minimal_cycle":[140],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":140,"start_interval_clock_positions":[550,1130],"circle_positions":590,"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":[551,1131,1711],"clock_positions":[551,1131,1711],"native_values":[339,44,339],"rotation_degrees":114.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[339,44,339],"beta":{"interval_sums":[168696,170466,169876],"interval_residues":[546,546,546],"display_cycle":[546,546,546],"intervals":[{"from_index":551,"to_index":1131,"sum":168696,"residue":546},{"from_index":1131,"to_index":1711,"sum":170466,"residue":546},{"from_index":1711,"to_index":551,"sum":169876,"residue":546}],"minimal_cycle":[546],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":546,"start_interval_clock_positions":[551,1131],"circle_positions":590,"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":[552,1132,1712],"clock_positions":[552,1132,1712],"native_values":[494,199,199],"rotation_degrees":114.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[494,199,199],"beta":{"interval_sums":[168246,170606,170016],"interval_residues":[96,96,96],"display_cycle":[96,96,96],"intervals":[{"from_index":552,"to_index":1132,"sum":168246,"residue":96},{"from_index":1132,"to_index":1712,"sum":170606,"residue":96},{"from_index":1712,"to_index":552,"sum":170016,"residue":96}],"minimal_cycle":[96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[552,1132],"circle_positions":590,"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":[553,1133,1713],"clock_positions":[553,1133,1713],"native_values":[243,243,538],"rotation_degrees":114.41379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,243,538],"beta":{"interval_sums":[168202,170562,169972],"interval_residues":[52,52,52],"display_cycle":[52,52,52],"intervals":[{"from_index":553,"to_index":1133,"sum":168202,"residue":52},{"from_index":1133,"to_index":1713,"sum":170562,"residue":52},{"from_index":1713,"to_index":553,"sum":169972,"residue":52}],"minimal_cycle":[52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[553,1133],"circle_positions":590,"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":[554,1134,1714],"clock_positions":[554,1134,1714],"native_values":[147,442,147],"rotation_degrees":114.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[147,442,147],"beta":{"interval_sums":[168298,170658,170068],"interval_residues":[148,148,148],"display_cycle":[148,148,148],"intervals":[{"from_index":554,"to_index":1134,"sum":168298,"residue":148},{"from_index":1134,"to_index":1714,"sum":170658,"residue":148},{"from_index":1714,"to_index":554,"sum":170068,"residue":148}],"minimal_cycle":[148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[554,1134],"circle_positions":590,"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":[555,1135,1715],"clock_positions":[555,1135,1715],"native_values":[390,95,95],"rotation_degrees":114.82758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[390,95,95],"beta":{"interval_sums":[168350,170710,170120],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":555,"to_index":1135,"sum":168350,"residue":200},{"from_index":1135,"to_index":1715,"sum":170710,"residue":200},{"from_index":1715,"to_index":555,"sum":170120,"residue":200}],"minimal_cycle":[200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[555,1135],"circle_positions":590,"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":[556,1136,1716],"clock_positions":[556,1136,1716],"native_values":[537,537,242],"rotation_degrees":115.03448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[537,537,242],"beta":{"interval_sums":[167908,170268,170268],"interval_residues":[348,348,348],"display_cycle":[348,348,348],"intervals":[{"from_index":556,"to_index":1136,"sum":167908,"residue":348},{"from_index":1136,"to_index":1716,"sum":170268,"residue":348},{"from_index":1716,"to_index":556,"sum":170268,"residue":348}],"minimal_cycle":[348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[556,1136],"circle_positions":590,"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":[557,1137,1717],"clock_positions":[557,1137,1717],"native_values":[337,42,337],"rotation_degrees":115.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,42,337],"beta":{"interval_sums":[168108,170468,170468],"interval_residues":[548,548,548],"display_cycle":[548,548,548],"intervals":[{"from_index":557,"to_index":1137,"sum":168108,"residue":548},{"from_index":1137,"to_index":1717,"sum":170468,"residue":548},{"from_index":1717,"to_index":557,"sum":170468,"residue":548}],"minimal_cycle":[548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":548,"start_interval_clock_positions":[557,1137],"circle_positions":590,"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":[558,1138,1718],"clock_positions":[558,1138,1718],"native_values":[284,579,579],"rotation_degrees":115.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[284,579,579],"beta":{"interval_sums":[167866,170226,170226],"interval_residues":[306,306,306],"display_cycle":[306,306,306],"intervals":[{"from_index":558,"to_index":1138,"sum":167866,"residue":306},{"from_index":1138,"to_index":1718,"sum":170226,"residue":306},{"from_index":1718,"to_index":558,"sum":170226,"residue":306}],"minimal_cycle":[306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[558,1138],"circle_positions":590,"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":[559,1139,1719],"clock_positions":[559,1139,1719],"native_values":[31,31,326],"rotation_degrees":115.65517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,31,326],"beta":{"interval_sums":[168414,170774,170184],"interval_residues":[264,264,264],"display_cycle":[264,264,264],"intervals":[{"from_index":559,"to_index":1139,"sum":168414,"residue":264},{"from_index":1139,"to_index":1719,"sum":170774,"residue":264},{"from_index":1719,"to_index":559,"sum":170184,"residue":264}],"minimal_cycle":[264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":264,"start_interval_clock_positions":[559,1139],"circle_positions":590,"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":[560,1140,1720],"clock_positions":[560,1140,1720],"native_values":[315,20,315],"rotation_degrees":115.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[315,20,315],"beta":{"interval_sums":[168130,171080,169900],"interval_residues":[570,570,570],"display_cycle":[570,570,570],"intervals":[{"from_index":560,"to_index":1140,"sum":168130,"residue":570},{"from_index":1140,"to_index":1720,"sum":171080,"residue":570},{"from_index":1720,"to_index":560,"sum":169900,"residue":570}],"minimal_cycle":[570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[560,1140],"circle_positions":590,"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":[561,1141,1721],"clock_positions":[561,1141,1721],"native_values":[346,51,51],"rotation_degrees":116.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[346,51,51],"beta":{"interval_sums":[167804,171344,170164],"interval_residues":[244,244,244],"display_cycle":[244,244,244],"intervals":[{"from_index":561,"to_index":1141,"sum":167804,"residue":244},{"from_index":1141,"to_index":1721,"sum":171344,"residue":244},{"from_index":1721,"to_index":561,"sum":170164,"residue":244}],"minimal_cycle":[244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[561,1141],"circle_positions":590,"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":[562,1142,1722],"clock_positions":[562,1142,1722],"native_values":[71,71,366],"rotation_degrees":116.27586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[71,71,366],"beta":{"interval_sums":[167784,171324,170144],"interval_residues":[224,224,224],"display_cycle":[224,224,224],"intervals":[{"from_index":562,"to_index":1142,"sum":167784,"residue":224},{"from_index":1142,"to_index":1722,"sum":171324,"residue":224},{"from_index":1722,"to_index":562,"sum":170144,"residue":224}],"minimal_cycle":[224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[562,1142],"circle_positions":590,"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":[563,1143,1723],"clock_positions":[563,1143,1723],"native_values":[417,122,417],"rotation_degrees":116.48275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,122,417],"beta":{"interval_sums":[167438,171568,169798],"interval_residues":[468,468,468],"display_cycle":[468,468,468],"intervals":[{"from_index":563,"to_index":1143,"sum":167438,"residue":468},{"from_index":1143,"to_index":1723,"sum":171568,"residue":468},{"from_index":1723,"to_index":563,"sum":169798,"residue":468}],"minimal_cycle":[468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[563,1143],"circle_positions":590,"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":[564,1144,1724],"clock_positions":[564,1144,1724],"native_values":[488,193,193],"rotation_degrees":116.6896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[488,193,193],"beta":{"interval_sums":[167072,171792,170022],"interval_residues":[102,102,102],"display_cycle":[102,102,102],"intervals":[{"from_index":564,"to_index":1144,"sum":167072,"residue":102},{"from_index":1144,"to_index":1724,"sum":171792,"residue":102},{"from_index":1724,"to_index":564,"sum":170022,"residue":102}],"minimal_cycle":[102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":102,"start_interval_clock_positions":[564,1144],"circle_positions":590,"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":[565,1145,1725],"clock_positions":[565,1145,1725],"native_values":[315,315,20],"rotation_degrees":116.89655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[315,315,20],"beta":{"interval_sums":[166950,171670,170490],"interval_residues":[570,570,570],"display_cycle":[570,570,570],"intervals":[{"from_index":565,"to_index":1145,"sum":166950,"residue":570},{"from_index":1145,"to_index":1725,"sum":171670,"residue":570},{"from_index":1725,"to_index":565,"sum":170490,"residue":570}],"minimal_cycle":[570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[565,1145],"circle_positions":590,"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":[566,1146,1726],"clock_positions":[566,1146,1726],"native_values":[213,508,213],"rotation_degrees":117.10344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,508,213],"beta":{"interval_sums":[167052,171182,170592],"interval_residues":[82,82,82],"display_cycle":[82,82,82],"intervals":[{"from_index":566,"to_index":1146,"sum":167052,"residue":82},{"from_index":1146,"to_index":1726,"sum":171182,"residue":82},{"from_index":1726,"to_index":566,"sum":170592,"residue":82}],"minimal_cycle":[82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[566,1146],"circle_positions":590,"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":[567,1147,1727],"clock_positions":[567,1147,1727],"native_values":[528,233,233],"rotation_degrees":117.3103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[528,233,233],"beta":{"interval_sums":[167032,171162,170572],"interval_residues":[62,62,62],"display_cycle":[62,62,62],"intervals":[{"from_index":567,"to_index":1147,"sum":167032,"residue":62},{"from_index":1147,"to_index":1727,"sum":171162,"residue":62},{"from_index":1727,"to_index":567,"sum":170572,"residue":62}],"minimal_cycle":[62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[567,1147],"circle_positions":590,"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":[568,1148,1728],"clock_positions":[568,1148,1728],"native_values":[151,151,446],"rotation_degrees":117.51724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,151,446],"beta":{"interval_sums":[167114,171244,170654],"interval_residues":[144,144,144],"display_cycle":[144,144,144],"intervals":[{"from_index":568,"to_index":1148,"sum":167114,"residue":144},{"from_index":1148,"to_index":1728,"sum":171244,"residue":144},{"from_index":1728,"to_index":568,"sum":170654,"residue":144}],"minimal_cycle":[144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[568,1148],"circle_positions":590,"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":[569,1149,1729],"clock_positions":[569,1149,1729],"native_values":[89,384,89],"rotation_degrees":117.72413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,384,89],"beta":{"interval_sums":[167176,171306,170716],"interval_residues":[206,206,206],"display_cycle":[206,206,206],"intervals":[{"from_index":569,"to_index":1149,"sum":167176,"residue":206},{"from_index":1149,"to_index":1729,"sum":171306,"residue":206},{"from_index":1729,"to_index":569,"sum":170716,"residue":206}],"minimal_cycle":[206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[569,1149],"circle_positions":590,"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":[570,1150,1730],"clock_positions":[570,1150,1730],"native_values":[240,535,535],"rotation_degrees":117.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[240,535,535],"beta":{"interval_sums":[167320,170860,170270],"interval_residues":[350,350,350],"display_cycle":[350,350,350],"intervals":[{"from_index":570,"to_index":1150,"sum":167320,"residue":350},{"from_index":1150,"to_index":1730,"sum":170860,"residue":350},{"from_index":1730,"to_index":570,"sum":170270,"residue":350}],"minimal_cycle":[350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[570,1150],"circle_positions":590,"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":[571,1151,1731],"clock_positions":[571,1151,1731],"native_values":[329,329,34],"rotation_degrees":118.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[329,329,34],"beta":{"interval_sums":[167526,171066,170476],"interval_residues":[556,556,556],"display_cycle":[556,556,556],"intervals":[{"from_index":571,"to_index":1151,"sum":167526,"residue":556},{"from_index":1151,"to_index":1731,"sum":171066,"residue":556},{"from_index":1731,"to_index":571,"sum":170476,"residue":556}],"minimal_cycle":[556],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":556,"start_interval_clock_positions":[571,1151],"circle_positions":590,"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":[572,1152,1732],"clock_positions":[572,1152,1732],"native_values":[569,274,569],"rotation_degrees":118.34482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[569,274,569],"beta":{"interval_sums":[167286,170826,170236],"interval_residues":[316,316,316],"display_cycle":[316,316,316],"intervals":[{"from_index":572,"to_index":1152,"sum":167286,"residue":316},{"from_index":1152,"to_index":1732,"sum":170826,"residue":316},{"from_index":1732,"to_index":572,"sum":170236,"residue":316}],"minimal_cycle":[316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":316,"start_interval_clock_positions":[572,1152],"circle_positions":590,"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":[573,1153,1733],"clock_positions":[573,1153,1733],"native_values":[308,13,13],"rotation_degrees":118.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[308,13,13],"beta":{"interval_sums":[167252,171382,170792],"interval_residues":[282,282,282],"display_cycle":[282,282,282],"intervals":[{"from_index":573,"to_index":1153,"sum":167252,"residue":282},{"from_index":1153,"to_index":1733,"sum":171382,"residue":282},{"from_index":1733,"to_index":573,"sum":170792,"residue":282}],"minimal_cycle":[282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":282,"start_interval_clock_positions":[573,1153],"circle_positions":590,"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":[574,1154,1734],"clock_positions":[574,1154,1734],"native_values":[287,287,582],"rotation_degrees":118.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,287,582],"beta":{"interval_sums":[166978,171108,170518],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":574,"to_index":1154,"sum":166978,"residue":8},{"from_index":1154,"to_index":1734,"sum":171108,"residue":8},{"from_index":1734,"to_index":574,"sum":170518,"residue":8}],"minimal_cycle":[8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[574,1154],"circle_positions":590,"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":[575,1155,1735],"clock_positions":[575,1155,1735],"native_values":[5,300,5],"rotation_degrees":118.96551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,300,5],"beta":{"interval_sums":[167260,171390,170800],"interval_residues":[290,290,290],"display_cycle":[290,290,290],"intervals":[{"from_index":575,"to_index":1155,"sum":167260,"residue":290},{"from_index":1155,"to_index":1735,"sum":171390,"residue":290},{"from_index":1735,"to_index":575,"sum":170800,"residue":290}],"minimal_cycle":[290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[575,1155],"circle_positions":590,"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":[576,1156,1736],"clock_positions":[576,1156,1736],"native_values":[292,587,587],"rotation_degrees":119.17241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,587,587],"beta":{"interval_sums":[167268,170808,170218],"interval_residues":[298,298,298],"display_cycle":[298,298,298],"intervals":[{"from_index":576,"to_index":1156,"sum":167268,"residue":298},{"from_index":1156,"to_index":1736,"sum":170808,"residue":298},{"from_index":1736,"to_index":576,"sum":170218,"residue":298}],"minimal_cycle":[298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[576,1156],"circle_positions":590,"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":[577,1157,1737],"clock_positions":[577,1157,1737],"native_values":[297,297,2],"rotation_degrees":119.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[297,297,2],"beta":{"interval_sums":[167558,171098,170508],"interval_residues":[588,588,588],"display_cycle":[588,588,588],"intervals":[{"from_index":577,"to_index":1157,"sum":167558,"residue":588},{"from_index":1157,"to_index":1737,"sum":171098,"residue":588},{"from_index":1737,"to_index":577,"sum":170508,"residue":588}],"minimal_cycle":[588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[577,1157],"circle_positions":590,"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":[578,1158,1738],"clock_positions":[578,1158,1738],"native_values":[589,294,589],"rotation_degrees":119.58620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[589,294,589],"beta":{"interval_sums":[167266,170806,170216],"interval_residues":[296,296,296],"display_cycle":[296,296,296],"intervals":[{"from_index":578,"to_index":1158,"sum":167266,"residue":296},{"from_index":1158,"to_index":1738,"sum":170806,"residue":296},{"from_index":1738,"to_index":578,"sum":170216,"residue":296}],"minimal_cycle":[296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[578,1158],"circle_positions":590,"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":[579,1159,1739],"clock_positions":[579,1159,1739],"native_values":[296,1,1],"rotation_degrees":119.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[296,1,1],"beta":{"interval_sums":[167264,171394,170804],"interval_residues":[294,294,294],"display_cycle":[294,294,294],"intervals":[{"from_index":579,"to_index":1159,"sum":167264,"residue":294},{"from_index":1159,"to_index":1739,"sum":171394,"residue":294},{"from_index":1739,"to_index":579,"sum":170804,"residue":294}],"minimal_cycle":[294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[579,1159],"circle_positions":590,"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":[0,290,580,870,1160,1450],"clock_positions":[1740,290,580,870,1160,1450],"native_values":[590,295,295,590,295,295],"rotation_degrees":0.0,"north_south":true,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[590,295,295],"beta":{"interval_sums":[81243,89562,84193,82777,85078,85727],"interval_residues":[413,472,413,177,118,177],"display_cycle":[413,472,413,177,118,177],"intervals":[{"from_index":0,"to_index":290,"sum":81243,"residue":413},{"from_index":290,"to_index":580,"sum":89562,"residue":472},{"from_index":580,"to_index":870,"sum":84193,"residue":413},{"from_index":870,"to_index":1160,"sum":82777,"residue":177},{"from_index":1160,"to_index":1450,"sum":85078,"residue":118},{"from_index":1450,"to_index":0,"sum":85727,"residue":177}],"minimal_cycle":[413,472,413,177,118,177],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":413,"start_interval_clock_positions":[1740,290],"circle_positions":590,"cycle_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":[1,291,581,871,1161,1451],"clock_positions":[1,291,581,871,1161,1451],"native_values":[1,414,1,119,296,119],"rotation_degrees":0.20689655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,414,1,119,296,119],"beta":{"interval_sums":[81537,89443,84192,82953,85077,85608],"interval_residues":[117,353,412,353,117,58],"display_cycle":[117,353,412,353,117,58],"intervals":[{"from_index":1,"to_index":291,"sum":81537,"residue":117},{"from_index":291,"to_index":581,"sum":89443,"residue":353},{"from_index":581,"to_index":871,"sum":84192,"residue":412},{"from_index":871,"to_index":1161,"sum":82953,"residue":353},{"from_index":1161,"to_index":1451,"sum":85077,"residue":117},{"from_index":1451,"to_index":1,"sum":85608,"residue":58}],"minimal_cycle":[117,353,412,353,117,58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":117,"start_interval_clock_positions":[1,291],"circle_positions":590,"cycle_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":[2,292,582,872,1162,1452],"clock_positions":[2,292,582,872,1162,1452],"native_values":[1,119,296,119,1,414],"rotation_degrees":0.41379310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,119,296,119,1,414],"beta":{"interval_sums":[81950,89325,84015,83130,85195,85195],"interval_residues":[530,235,235,530,235,235],"display_cycle":[530,235,235,530,235,235],"intervals":[{"from_index":2,"to_index":292,"sum":81950,"residue":530},{"from_index":292,"to_index":582,"sum":89325,"residue":235},{"from_index":582,"to_index":872,"sum":84015,"residue":235},{"from_index":872,"to_index":1162,"sum":83130,"residue":530},{"from_index":1162,"to_index":1452,"sum":85195,"residue":235},{"from_index":1452,"to_index":2,"sum":85195,"residue":235}],"minimal_cycle":[530,235,235],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[2,292],"circle_positions":590,"cycle_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":[3,293,583,873,1163,1453],"clock_positions":[3,293,583,873,1163,1453],"native_values":[2,533,297,238,297,533],"rotation_degrees":0.6206896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,533,297,238,297,533],"beta":{"interval_sums":[82067,89088,83837,82893,85312,84663],"interval_residues":[57,588,57,293,352,293],"display_cycle":[57,588,57,293,352,293],"intervals":[{"from_index":3,"to_index":293,"sum":82067,"residue":57},{"from_index":293,"to_index":583,"sum":89088,"residue":588},{"from_index":583,"to_index":873,"sum":83837,"residue":57},{"from_index":873,"to_index":1163,"sum":82893,"residue":293},{"from_index":1163,"to_index":1453,"sum":85312,"residue":352},{"from_index":1453,"to_index":3,"sum":84663,"residue":293}],"minimal_cycle":[57,588,57,293,352,293],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":57,"start_interval_clock_positions":[3,293],"circle_positions":590,"cycle_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":[4,294,584,874,1164,1454],"clock_positions":[4,294,584,874,1164,1454],"native_values":[3,62,3,357,298,357],"rotation_degrees":0.8275862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,62,3,357,298,357],"beta":{"interval_sums":[82597,89323,84072,82833,85547,84308],"interval_residues":[587,233,292,233,587,528],"display_cycle":[587,233,292,233,587,528],"intervals":[{"from_index":4,"to_index":294,"sum":82597,"residue":587},{"from_index":294,"to_index":584,"sum":89323,"residue":233},{"from_index":584,"to_index":874,"sum":84072,"residue":292},{"from_index":874,"to_index":1164,"sum":82833,"residue":233},{"from_index":1164,"to_index":1454,"sum":85547,"residue":587},{"from_index":1454,"to_index":4,"sum":84308,"residue":528}],"minimal_cycle":[587,233,292,233,587,528],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":587,"start_interval_clock_positions":[4,294],"circle_positions":590,"cycle_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":[5,295,585,875,1165,1455],"clock_positions":[5,295,585,875,1165,1455],"native_values":[5,5,300,5,5,300],"rotation_degrees":1.0344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,5,300],"beta":{"interval_sums":[82654,89321,84129,83126,85899,84011],"interval_residues":[54,231,349,526,349,231],"display_cycle":[54,231,349,526,349,231],"intervals":[{"from_index":5,"to_index":295,"sum":82654,"residue":54},{"from_index":295,"to_index":585,"sum":89321,"residue":231},{"from_index":585,"to_index":875,"sum":84129,"residue":349},{"from_index":875,"to_index":1165,"sum":83126,"residue":526},{"from_index":1165,"to_index":1455,"sum":85899,"residue":349},{"from_index":1455,"to_index":5,"sum":84011,"residue":231}],"minimal_cycle":[54,231,349,526,349,231],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[5,295],"circle_positions":590,"cycle_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":[6,296,586,876,1166,1456],"clock_positions":[6,296,586,876,1166,1456],"native_values":[8,67,303,362,303,67],"rotation_degrees":1.2413793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,67,303,362,303,67],"beta":{"interval_sums":[82651,89554,83831,82769,85896,83949],"interval_residues":[51,464,51,169,346,169],"display_cycle":[51,464,51,169,346,169],"intervals":[{"from_index":6,"to_index":296,"sum":82651,"residue":51},{"from_index":296,"to_index":586,"sum":89554,"residue":464},{"from_index":586,"to_index":876,"sum":83831,"residue":51},{"from_index":876,"to_index":1166,"sum":82769,"residue":169},{"from_index":1166,"to_index":1456,"sum":85896,"residue":346},{"from_index":1456,"to_index":6,"sum":83949,"residue":169}],"minimal_cycle":[51,464,51,169,346,169],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":51,"start_interval_clock_positions":[6,296],"circle_positions":590,"cycle_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":[7,297,587,877,1167,1457],"clock_positions":[7,297,587,877,1167,1457],"native_values":[13,72,13,367,308,367],"rotation_degrees":1.4482758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,72,13,367,308,367],"beta":{"interval_sums":[82705,89785,84180,82705,85655,83590],"interval_residues":[105,105,400,105,105,400],"display_cycle":[105,105,400,105,105,400],"intervals":[{"from_index":7,"to_index":297,"sum":82705,"residue":105},{"from_index":297,"to_index":587,"sum":89785,"residue":105},{"from_index":587,"to_index":877,"sum":84180,"residue":400},{"from_index":877,"to_index":1167,"sum":82705,"residue":105},{"from_index":1167,"to_index":1457,"sum":85655,"residue":105},{"from_index":1457,"to_index":7,"sum":83590,"residue":400}],"minimal_cycle":[105,105,400],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":105,"start_interval_clock_positions":[7,297],"circle_positions":590,"cycle_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":[8,298,588,878,1168,1458],"clock_positions":[8,298,588,878,1168,1458],"native_values":[21,139,316,139,21,434],"rotation_degrees":1.6551724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,139,316,139,21,434],"beta":{"interval_sums":[82756,89659,84231,82874,86001,83169],"interval_residues":[156,569,451,274,451,569],"display_cycle":[156,569,451,274,451,569],"intervals":[{"from_index":8,"to_index":298,"sum":82756,"residue":156},{"from_index":298,"to_index":588,"sum":89659,"residue":569},{"from_index":588,"to_index":878,"sum":84231,"residue":451},{"from_index":878,"to_index":1168,"sum":82874,"residue":274},{"from_index":1168,"to_index":1458,"sum":86001,"residue":451},{"from_index":1458,"to_index":8,"sum":83169,"residue":569}],"minimal_cycle":[156,569,451,274,451,569],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[8,298],"circle_positions":590,"cycle_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":[9,299,589,879,1169,1459],"clock_positions":[9,299,589,879,1169,1459],"native_values":[34,211,329,506,329,211],"rotation_degrees":1.8620689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,211,329,506,329,211],"beta":{"interval_sums":[82861,89764,84041,82389,86106,82979],"interval_residues":[261,84,261,379,556,379],"display_cycle":[261,84,261,379,556,379],"intervals":[{"from_index":9,"to_index":299,"sum":82861,"residue":261},{"from_index":299,"to_index":589,"sum":89764,"residue":84},{"from_index":589,"to_index":879,"sum":84041,"residue":261},{"from_index":879,"to_index":1169,"sum":82389,"residue":379},{"from_index":1169,"to_index":1459,"sum":86106,"residue":556},{"from_index":1459,"to_index":9,"sum":82979,"residue":379}],"minimal_cycle":[261,84,261,379,556,379],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":261,"start_interval_clock_positions":[9,299],"circle_positions":590,"cycle_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":[10,300,590,880,1170,1460],"clock_positions":[10,300,590,880,1170,1460],"native_values":[55,350,55,55,350,55],"rotation_degrees":2.0689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,350,55],"beta":{"interval_sums":[83017,89743,84492,82663,85967,82958],"interval_residues":[417,63,122,63,417,358],"display_cycle":[417,63,122,63,417,358],"intervals":[{"from_index":10,"to_index":300,"sum":83017,"residue":417},{"from_index":300,"to_index":590,"sum":89743,"residue":63},{"from_index":590,"to_index":880,"sum":84492,"residue":122},{"from_index":880,"to_index":1170,"sum":82663,"residue":63},{"from_index":1170,"to_index":1460,"sum":85967,"residue":417},{"from_index":1460,"to_index":10,"sum":82958,"residue":358}],"minimal_cycle":[417,63,122,63,417,358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":417,"start_interval_clock_positions":[10,300],"circle_positions":590,"cycle_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":[11,301,591,881,1171,1461],"clock_positions":[11,301,591,881,1171,1461],"native_values":[89,561,384,561,89,266],"rotation_degrees":2.2758620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,561,384,561,89,266],"beta":{"interval_sums":[83278,89237,84163,82452,85933,82747],"interval_residues":[88,147,383,442,383,147],"display_cycle":[88,147,383,442,383,147],"intervals":[{"from_index":11,"to_index":301,"sum":83278,"residue":88},{"from_index":301,"to_index":591,"sum":89237,"residue":147},{"from_index":591,"to_index":881,"sum":84163,"residue":383},{"from_index":881,"to_index":1171,"sum":82452,"residue":442},{"from_index":1171,"to_index":1461,"sum":85933,"residue":383},{"from_index":1461,"to_index":11,"sum":82747,"residue":147}],"minimal_cycle":[88,147,383,442,383,147],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[11,301],"circle_positions":590,"cycle_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":[12,302,592,882,1172,1462],"clock_positions":[12,302,592,882,1172,1462],"native_values":[144,321,439,26,439,321],"rotation_degrees":2.4827586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,321,439,26,439,321],"beta":{"interval_sums":[83695,89300,84285,82515,85760,82515],"interval_residues":[505,210,505,505,210,505],"display_cycle":[505,210,505,505,210,505],"intervals":[{"from_index":12,"to_index":302,"sum":83695,"residue":505},{"from_index":302,"to_index":592,"sum":89300,"residue":210},{"from_index":592,"to_index":882,"sum":84285,"residue":505},{"from_index":882,"to_index":1172,"sum":82515,"residue":505},{"from_index":1172,"to_index":1462,"sum":85760,"residue":210},{"from_index":1462,"to_index":12,"sum":82515,"residue":505}],"minimal_cycle":[505,210,505],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":505,"start_interval_clock_positions":[12,302],"circle_positions":590,"cycle_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":[13,303,593,883,1173,1463],"clock_positions":[13,303,593,883,1173,1463],"native_values":[233,292,233,587,528,587],"rotation_degrees":2.689655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,292,233,587,528,587],"beta":{"interval_sums":[83783,89447,84078,82367,85553,82072],"interval_residues":[3,357,298,357,3,62],"display_cycle":[3,357,298,357,3,62],"intervals":[{"from_index":13,"to_index":303,"sum":83783,"residue":3},{"from_index":303,"to_index":593,"sum":89447,"residue":357},{"from_index":593,"to_index":883,"sum":84078,"residue":298},{"from_index":883,"to_index":1173,"sum":82367,"residue":357},{"from_index":1173,"to_index":1463,"sum":85553,"residue":3},{"from_index":1463,"to_index":13,"sum":82072,"residue":62}],"minimal_cycle":[3,357,298,357,3,62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":3,"start_interval_clock_positions":[13,303],"circle_positions":590,"cycle_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":[14,304,594,884,1174,1464],"clock_positions":[14,304,594,884,1174,1464],"native_values":[377,23,82,23,377,318],"rotation_degrees":2.896551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,23,82,23,377,318],"beta":{"interval_sums":[83698,89657,84583,82872,85763,81987],"interval_residues":[508,567,213,272,213,567],"display_cycle":[508,567,213,272,213,567],"intervals":[{"from_index":14,"to_index":304,"sum":83698,"residue":508},{"from_index":304,"to_index":594,"sum":89657,"residue":567},{"from_index":594,"to_index":884,"sum":84583,"residue":213},{"from_index":884,"to_index":1174,"sum":82872,"residue":272},{"from_index":1174,"to_index":1464,"sum":85763,"residue":213},{"from_index":1464,"to_index":14,"sum":81987,"residue":567}],"minimal_cycle":[508,567,213,272,213,567],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":508,"start_interval_clock_positions":[14,304],"circle_positions":590,"cycle_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":[15,305,595,885,1175,1465],"clock_positions":[15,305,595,885,1175,1465],"native_values":[20,315,315,20,315,315],"rotation_degrees":3.103448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[20,315,315],"beta":{"interval_sums":[83701,89424,84291,83229,85766,82049],"interval_residues":[511,334,511,39,216,39],"display_cycle":[511,334,511,39,216,39],"intervals":[{"from_index":15,"to_index":305,"sum":83701,"residue":511},{"from_index":305,"to_index":595,"sum":89424,"residue":334},{"from_index":595,"to_index":885,"sum":84291,"residue":511},{"from_index":885,"to_index":1175,"sum":83229,"residue":39},{"from_index":1175,"to_index":1465,"sum":85766,"residue":216},{"from_index":1465,"to_index":15,"sum":82049,"residue":39}],"minimal_cycle":[511,334,511,39,216,39],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":511,"start_interval_clock_positions":[15,305],"circle_positions":590,"cycle_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":[16,306,596,886,1176,1466],"clock_positions":[16,306,596,886,1176,1466],"native_values":[397,338,397,43,102,43],"rotation_degrees":3.310344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,338,397,43,102,43],"beta":{"interval_sums":[83619,89401,83914,83501,85979,82026],"interval_residues":[429,311,134,311,429,16],"display_cycle":[429,311,134,311,429,16],"intervals":[{"from_index":16,"to_index":306,"sum":83619,"residue":429},{"from_index":306,"to_index":596,"sum":89401,"residue":311},{"from_index":596,"to_index":886,"sum":83914,"residue":134},{"from_index":886,"to_index":1176,"sum":83501,"residue":311},{"from_index":1176,"to_index":1466,"sum":85979,"residue":429},{"from_index":1466,"to_index":16,"sum":82026,"residue":16}],"minimal_cycle":[429,311,134,311,429,16],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":429,"start_interval_clock_positions":[16,306],"circle_positions":590,"cycle_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":[17,307,597,887,1177,1467],"clock_positions":[17,307,597,887,1177,1467],"native_values":[417,63,122,63,417,358],"rotation_degrees":3.5172413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,63,122,63,417,358],"beta":{"interval_sums":[83540,89735,83835,83540,85605,82065],"interval_residues":[350,55,55,350,55,55],"display_cycle":[350,55,55,350,55,55],"intervals":[{"from_index":17,"to_index":307,"sum":83540,"residue":350},{"from_index":307,"to_index":597,"sum":89735,"residue":55},{"from_index":597,"to_index":887,"sum":83835,"residue":55},{"from_index":887,"to_index":1177,"sum":83540,"residue":350},{"from_index":1177,"to_index":1467,"sum":85605,"residue":55},{"from_index":1467,"to_index":17,"sum":82065,"residue":55}],"minimal_cycle":[350,55,55],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[17,307],"circle_positions":590,"cycle_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":[18,308,598,888,1178,1468],"clock_positions":[18,308,598,888,1178,1468],"native_values":[224,401,519,106,519,401],"rotation_degrees":3.7241379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[224,401,519,106,519,401],"beta":{"interval_sums":[83379,89456,83379,83851,85444,82081],"interval_residues":[189,366,189,71,484,71],"display_cycle":[189,366,189,71,484,71],"intervals":[{"from_index":18,"to_index":308,"sum":83379,"residue":189},{"from_index":308,"to_index":598,"sum":89456,"residue":366},{"from_index":598,"to_index":888,"sum":83379,"residue":189},{"from_index":888,"to_index":1178,"sum":83851,"residue":71},{"from_index":1178,"to_index":1468,"sum":85444,"residue":484},{"from_index":1468,"to_index":18,"sum":82081,"residue":71}],"minimal_cycle":[189,366,189,71,484,71],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":189,"start_interval_clock_positions":[18,308],"circle_positions":590,"cycle_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":[19,309,599,889,1179,1469],"clock_positions":[19,309,599,889,1179,1469],"native_values":[51,464,51,169,346,169],"rotation_degrees":3.9310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,464,51,169,346,169],"beta":{"interval_sums":[83729,89511,83434,84201,85499,82136],"interval_residues":[539,421,244,421,539,126],"display_cycle":[539,421,244,421,539,126],"intervals":[{"from_index":19,"to_index":309,"sum":83729,"residue":539},{"from_index":309,"to_index":599,"sum":89511,"residue":421},{"from_index":599,"to_index":889,"sum":83434,"residue":244},{"from_index":889,"to_index":1179,"sum":84201,"residue":421},{"from_index":1179,"to_index":1469,"sum":85499,"residue":539},{"from_index":1469,"to_index":19,"sum":82136,"residue":126}],"minimal_cycle":[539,421,244,421,539,126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":539,"start_interval_clock_positions":[19,309],"circle_positions":590,"cycle_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":[20,310,600,890,1180,1470],"clock_positions":[20,310,600,890,1180,1470],"native_values":[275,275,570,275,275,570],"rotation_degrees":4.137931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[275,275,570],"beta":{"interval_sums":[83918,89287,83033,84272,85393,81617],"interval_residues":[138,197,433,492,433,197],"display_cycle":[138,197,433,492,433,197],"intervals":[{"from_index":20,"to_index":310,"sum":83918,"residue":138},{"from_index":310,"to_index":600,"sum":89287,"residue":197},{"from_index":600,"to_index":890,"sum":83033,"residue":433},{"from_index":890,"to_index":1180,"sum":84272,"residue":492},{"from_index":1180,"to_index":1470,"sum":85393,"residue":433},{"from_index":1470,"to_index":20,"sum":81617,"residue":197}],"minimal_cycle":[138,197,433,492,433,197],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[20,310],"circle_positions":590,"cycle_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":[21,311,601,891,1181,1471],"clock_positions":[21,311,601,891,1181,1471],"native_values":[326,149,31,444,31,149],"rotation_degrees":4.344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[326,149,31,444,31,149],"beta":{"interval_sums":[83867,89708,83277,84103,85932,81743],"interval_residues":[87,28,87,323,382,323],"display_cycle":[87,28,87,323,382,323],"intervals":[{"from_index":21,"to_index":311,"sum":83867,"residue":87},{"from_index":311,"to_index":601,"sum":89708,"residue":28},{"from_index":601,"to_index":891,"sum":83277,"residue":87},{"from_index":891,"to_index":1181,"sum":84103,"residue":323},{"from_index":1181,"to_index":1471,"sum":85932,"residue":382},{"from_index":1471,"to_index":21,"sum":81743,"residue":323}],"minimal_cycle":[87,28,87,323,382,323],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":87,"start_interval_clock_positions":[21,311],"circle_positions":590,"cycle_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":[22,312,602,892,1182,1472],"clock_positions":[22,312,602,892,1182,1472],"native_values":[11,424,11,129,306,129],"rotation_degrees":4.551724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[11,424,11,129,306,129],"beta":{"interval_sums":[84005,89315,83710,84005,85775,81940],"interval_residues":[225,225,520,225,225,520],"display_cycle":[225,225,520,225,225,520],"intervals":[{"from_index":22,"to_index":312,"sum":84005,"residue":225},{"from_index":312,"to_index":602,"sum":89315,"residue":225},{"from_index":602,"to_index":892,"sum":83710,"residue":520},{"from_index":892,"to_index":1182,"sum":84005,"residue":225},{"from_index":1182,"to_index":1472,"sum":85775,"residue":225},{"from_index":1472,"to_index":22,"sum":81940,"residue":520}],"minimal_cycle":[225,225,520],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":225,"start_interval_clock_positions":[22,312],"circle_positions":590,"cycle_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":[23,313,603,893,1183,1473],"clock_positions":[23,313,603,893,1183,1473],"native_values":[337,573,42,573,337,278],"rotation_degrees":4.758620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,573,42,573,337,278],"beta":{"interval_sums":[84092,88753,83797,83738,85567,81673],"interval_residues":[312,253,17,548,17,253],"display_cycle":[312,253,17,548,17,253],"intervals":[{"from_index":23,"to_index":313,"sum":84092,"residue":312},{"from_index":313,"to_index":603,"sum":88753,"residue":253},{"from_index":603,"to_index":893,"sum":83797,"residue":17},{"from_index":893,"to_index":1183,"sum":83738,"residue":548},{"from_index":1183,"to_index":1473,"sum":85567,"residue":17},{"from_index":1473,"to_index":23,"sum":81673,"residue":253}],"minimal_cycle":[312,253,17,548,17,253],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[23,313],"circle_positions":590,"cycle_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":[24,314,604,894,1184,1474],"clock_positions":[24,314,604,894,1184,1474],"native_values":[348,407,53,112,53,407],"rotation_degrees":4.9655172413793105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[348,407,53,112,53,407],"beta":{"interval_sums":[84317,88388,84317,83963,85792,81603],"interval_residues":[537,478,537,183,242,183],"display_cycle":[537,478,537,183,242,183],"intervals":[{"from_index":24,"to_index":314,"sum":84317,"residue":537},{"from_index":314,"to_index":604,"sum":88388,"residue":478},{"from_index":604,"to_index":894,"sum":84317,"residue":537},{"from_index":894,"to_index":1184,"sum":83963,"residue":183},{"from_index":1184,"to_index":1474,"sum":85792,"residue":242},{"from_index":1474,"to_index":24,"sum":81603,"residue":183}],"minimal_cycle":[537,478,537,183,242,183],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":537,"start_interval_clock_positions":[24,314],"circle_positions":590,"cycle_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":[25,315,605,895,1185,1475],"clock_positions":[25,315,605,895,1185,1475],"native_values":[95,390,95,95,390,95],"rotation_degrees":5.172413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,390,95],"beta":{"interval_sums":[84629,88051,84334,83921,85809,81856],"interval_residues":[259,141,554,141,259,436],"display_cycle":[259,141,554,141,259,436],"intervals":[{"from_index":25,"to_index":315,"sum":84629,"residue":259},{"from_index":315,"to_index":605,"sum":88051,"residue":141},{"from_index":605,"to_index":895,"sum":84334,"residue":554},{"from_index":895,"to_index":1185,"sum":83921,"residue":141},{"from_index":1185,"to_index":1475,"sum":85809,"residue":259},{"from_index":1475,"to_index":25,"sum":81856,"residue":436}],"minimal_cycle":[259,141,554,141,259,436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":259,"start_interval_clock_positions":[25,315],"circle_positions":590,"cycle_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":[26,316,606,896,1186,1476],"clock_positions":[26,316,606,896,1186,1476],"native_values":[443,207,148,207,443,502],"rotation_degrees":5.379310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,207,148,207,443,502],"beta":{"interval_sums":[84576,87939,84281,84104,85461,81449],"interval_residues":[206,29,501,324,501,29],"display_cycle":[206,29,501,324,501,29],"intervals":[{"from_index":26,"to_index":316,"sum":84576,"residue":206},{"from_index":316,"to_index":606,"sum":87939,"residue":29},{"from_index":606,"to_index":896,"sum":84281,"residue":501},{"from_index":896,"to_index":1186,"sum":84104,"residue":324},{"from_index":1186,"to_index":1476,"sum":85461,"residue":501},{"from_index":1476,"to_index":26,"sum":81449,"residue":29}],"minimal_cycle":[206,29,501,324,501,29],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[26,316],"circle_positions":590,"cycle_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":[27,317,607,897,1187,1477],"clock_positions":[27,317,607,897,1187,1477],"native_values":[538,7,243,302,243,7],"rotation_degrees":5.586206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[538,7,243,302,243,7],"beta":{"interval_sums":[84245,88080,84245,84245,85720,81885],"interval_residues":[465,170,465,465,170,465],"display_cycle":[465,170,465,465,170,465],"intervals":[{"from_index":27,"to_index":317,"sum":84245,"residue":465},{"from_index":317,"to_index":607,"sum":88080,"residue":170},{"from_index":607,"to_index":897,"sum":84245,"residue":465},{"from_index":897,"to_index":1187,"sum":84245,"residue":465},{"from_index":1187,"to_index":1477,"sum":85720,"residue":170},{"from_index":1477,"to_index":27,"sum":81885,"residue":465}],"minimal_cycle":[465,170,465],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":465,"start_interval_clock_positions":[27,317],"circle_positions":590,"cycle_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":[28,318,608,898,1188,1478],"clock_positions":[28,318,608,898,1188,1478],"native_values":[391,214,391,509,96,509],"rotation_degrees":5.793103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,214,391,509,96,509],"beta":{"interval_sums":[83861,88109,84156,83979,85631,81914],"interval_residues":[81,199,376,199,81,494],"display_cycle":[81,199,376,199,81,494],"intervals":[{"from_index":28,"to_index":318,"sum":83861,"residue":81},{"from_index":318,"to_index":608,"sum":88109,"residue":199},{"from_index":608,"to_index":898,"sum":84156,"residue":376},{"from_index":898,"to_index":1188,"sum":83979,"residue":199},{"from_index":1188,"to_index":1478,"sum":85631,"residue":81},{"from_index":1478,"to_index":28,"sum":81914,"residue":494}],"minimal_cycle":[81,199,376,199,81,494],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":81,"start_interval_clock_positions":[28,318],"circle_positions":590,"cycle_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":[29,319,609,899,1189,1479],"clock_positions":[29,319,609,899,1189,1479],"native_values":[339,221,44,221,339,516],"rotation_degrees":6.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[339,221,44,221,339,516],"beta":{"interval_sums":[83736,88279,84621,83854,85801,81789],"interval_residues":[546,369,251,74,251,369],"display_cycle":[546,369,251,74,251,369],"intervals":[{"from_index":29,"to_index":319,"sum":83736,"residue":546},{"from_index":319,"to_index":609,"sum":88279,"residue":369},{"from_index":609,"to_index":899,"sum":84621,"residue":251},{"from_index":899,"to_index":1189,"sum":83854,"residue":74},{"from_index":1189,"to_index":1479,"sum":85801,"residue":251},{"from_index":1479,"to_index":29,"sum":81789,"residue":369}],"minimal_cycle":[546,369,251,74,251,369],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":546,"start_interval_clock_positions":[29,319],"circle_positions":590,"cycle_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":[30,320,610,900,1190,1480],"clock_positions":[30,320,610,900,1190,1480],"native_values":[140,435,435,140,435,435],"rotation_degrees":6.206896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[140,435,435],"beta":{"interval_sums":[83817,87888,84407,84053,85882,81693],"interval_residues":[37,568,37,273,332,273],"display_cycle":[37,568,37,273,332,273],"intervals":[{"from_index":30,"to_index":320,"sum":83817,"residue":37},{"from_index":320,"to_index":610,"sum":87888,"residue":568},{"from_index":610,"to_index":900,"sum":84407,"residue":37},{"from_index":900,"to_index":1190,"sum":84053,"residue":273},{"from_index":1190,"to_index":1480,"sum":85882,"residue":332},{"from_index":1480,"to_index":30,"sum":81693,"residue":273}],"minimal_cycle":[37,568,37,273,332,273],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":37,"start_interval_clock_positions":[30,320],"circle_positions":590,"cycle_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":[31,321,611,901,1191,1481],"clock_positions":[31,321,611,901,1191,1481],"native_values":[479,66,479,361,184,361],"rotation_degrees":6.413793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[479,66,479,361,184,361],"beta":{"interval_sums":[83773,88257,84068,84127,86133,81472],"interval_residues":[583,347,288,347,583,52],"display_cycle":[583,347,288,347,583,52],"intervals":[{"from_index":31,"to_index":321,"sum":83773,"residue":583},{"from_index":321,"to_index":611,"sum":88257,"residue":347},{"from_index":611,"to_index":901,"sum":84068,"residue":288},{"from_index":901,"to_index":1191,"sum":84127,"residue":347},{"from_index":1191,"to_index":1481,"sum":86133,"residue":583},{"from_index":1481,"to_index":31,"sum":81472,"residue":52}],"minimal_cycle":[583,347,288,347,583,52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":583,"start_interval_clock_positions":[31,321],"circle_positions":590,"cycle_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":[32,322,612,902,1192,1482],"clock_positions":[32,322,612,902,1192,1482],"native_values":[29,501,324,501,29,206],"rotation_degrees":6.620689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,501,324,501,29,206],"beta":{"interval_sums":[83810,88235,84105,83810,86465,81745],"interval_residues":[30,325,325,30,325,325],"display_cycle":[30,325,325,30,325,325],"intervals":[{"from_index":32,"to_index":322,"sum":83810,"residue":30},{"from_index":322,"to_index":612,"sum":88235,"residue":325},{"from_index":612,"to_index":902,"sum":84105,"residue":325},{"from_index":902,"to_index":1192,"sum":83810,"residue":30},{"from_index":1192,"to_index":1482,"sum":86465,"residue":325},{"from_index":1482,"to_index":32,"sum":81745,"residue":325}],"minimal_cycle":[30,325,325],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[32,322],"circle_positions":590,"cycle_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":[33,323,613,903,1193,1483],"clock_positions":[33,323,613,903,1193,1483],"native_values":[508,567,213,272,213,567],"rotation_degrees":6.827586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[508,567,213,272,213,567],"beta":{"interval_sums":[83803,87992,84393,83567,86458,81207],"interval_residues":[23,82,23,377,318,377],"display_cycle":[23,82,23,377,318,377],"intervals":[{"from_index":33,"to_index":323,"sum":83803,"residue":23},{"from_index":323,"to_index":613,"sum":87992,"residue":82},{"from_index":613,"to_index":903,"sum":84393,"residue":23},{"from_index":903,"to_index":1193,"sum":83567,"residue":377},{"from_index":1193,"to_index":1483,"sum":86458,"residue":318},{"from_index":1483,"to_index":33,"sum":81207,"residue":377}],"minimal_cycle":[23,82,23,377,318,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":23,"start_interval_clock_positions":[33,323],"circle_positions":590,"cycle_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":[34,324,614,904,1194,1484],"clock_positions":[34,324,614,904,1194,1484],"native_values":[537,478,537,183,242,183],"rotation_degrees":7.0344827586206895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[537,478,537,183,242,183],"beta":{"interval_sums":[83833,87727,84128,83597,86783,81532],"interval_residues":[53,407,348,407,53,112],"display_cycle":[53,407,348,407,53,112],"intervals":[{"from_index":34,"to_index":324,"sum":83833,"residue":53},{"from_index":324,"to_index":614,"sum":87727,"residue":407},{"from_index":614,"to_index":904,"sum":84128,"residue":348},{"from_index":904,"to_index":1194,"sum":83597,"residue":407},{"from_index":1194,"to_index":1484,"sum":86783,"residue":53},{"from_index":1484,"to_index":34,"sum":81532,"residue":112}],"minimal_cycle":[53,407,348,407,53,112],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":53,"start_interval_clock_positions":[34,324],"circle_positions":590,"cycle_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":[35,325,615,905,1195,1485],"clock_positions":[35,325,615,905,1195,1485],"native_values":[455,455,160,455,455,160],"rotation_degrees":7.241379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[455,455,160],"beta":{"interval_sums":[83856,87809,84151,83384,86511,81909],"interval_residues":[76,489,371,194,371,489],"display_cycle":[76,489,371,194,371,489],"intervals":[{"from_index":35,"to_index":325,"sum":83856,"residue":76},{"from_index":325,"to_index":615,"sum":87809,"residue":489},{"from_index":615,"to_index":905,"sum":84151,"residue":371},{"from_index":905,"to_index":1195,"sum":83384,"residue":194},{"from_index":1195,"to_index":1485,"sum":86511,"residue":371},{"from_index":1485,"to_index":35,"sum":81909,"residue":489}],"minimal_cycle":[76,489,371,194,371,489],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[35,325],"circle_positions":590,"cycle_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":[36,326,616,906,1196,1486],"clock_positions":[36,326,616,906,1196,1486],"native_values":[402,343,107,48,107,343],"rotation_degrees":7.448275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[402,343,107,48,107,343],"beta":{"interval_sums":[83909,87626,84499,83791,86564,82021],"interval_residues":[129,306,129,11,424,11],"display_cycle":[129,306,129,11,424,11],"intervals":[{"from_index":36,"to_index":326,"sum":83909,"residue":129},{"from_index":326,"to_index":616,"sum":87626,"residue":306},{"from_index":616,"to_index":906,"sum":84499,"residue":129},{"from_index":906,"to_index":1196,"sum":83791,"residue":11},{"from_index":1196,"to_index":1486,"sum":86564,"residue":424},{"from_index":1486,"to_index":36,"sum":82021,"residue":11}],"minimal_cycle":[129,306,129,11,424,11],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":129,"start_interval_clock_positions":[36,326],"circle_positions":590,"cycle_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":[37,327,617,907,1197,1487],"clock_positions":[37,327,617,907,1197,1487],"native_values":[267,208,267,503,562,503],"rotation_degrees":7.655172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[267,208,267,503,562,503],"beta":{"interval_sums":[83985,87525,84280,83395,86345,81920],"interval_residues":[205,205,500,205,205,500],"display_cycle":[205,205,500,205,205,500],"intervals":[{"from_index":37,"to_index":327,"sum":83985,"residue":205},{"from_index":327,"to_index":617,"sum":87525,"residue":205},{"from_index":617,"to_index":907,"sum":84280,"residue":500},{"from_index":907,"to_index":1197,"sum":83395,"residue":205},{"from_index":1197,"to_index":1487,"sum":86345,"residue":205},{"from_index":1487,"to_index":37,"sum":81920,"residue":500}],"minimal_cycle":[205,205,500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":205,"start_interval_clock_positions":[37,327],"circle_positions":590,"cycle_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":[38,328,618,908,1198,1488],"clock_positions":[38,328,618,908,1198,1488],"native_values":[79,551,374,551,79,256],"rotation_degrees":7.862068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,551,374,551,79,256],"beta":{"interval_sums":[84114,87241,84409,83406,86769,81931],"interval_residues":[334,511,39,216,39,511],"display_cycle":[334,511,39,216,39,511],"intervals":[{"from_index":38,"to_index":328,"sum":84114,"residue":334},{"from_index":328,"to_index":618,"sum":87241,"residue":511},{"from_index":618,"to_index":908,"sum":84409,"residue":39},{"from_index":908,"to_index":1198,"sum":83406,"residue":216},{"from_index":1198,"to_index":1488,"sum":86769,"residue":39},{"from_index":1488,"to_index":38,"sum":81931,"residue":511}],"minimal_cycle":[334,511,39,216,39,511],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[38,328],"circle_positions":590,"cycle_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":[39,329,619,909,1199,1489],"clock_positions":[39,329,619,909,1199,1489],"native_values":[346,169,51,464,51,169],"rotation_degrees":8.068965517241379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[346,169,51,464,51,169],"beta":{"interval_sums":[84319,87446,84909,83021,86974,81841],"interval_residues":[539,126,539,421,244,421],"display_cycle":[539,126,539,421,244,421],"intervals":[{"from_index":39,"to_index":329,"sum":84319,"residue":539},{"from_index":329,"to_index":619,"sum":87446,"residue":126},{"from_index":619,"to_index":909,"sum":84909,"residue":539},{"from_index":909,"to_index":1199,"sum":83021,"residue":421},{"from_index":1199,"to_index":1489,"sum":86974,"residue":244},{"from_index":1489,"to_index":39,"sum":81841,"residue":421}],"minimal_cycle":[539,126,539,421,244,421],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":539,"start_interval_clock_positions":[39,329],"circle_positions":590,"cycle_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":[40,330,620,910,1200,1490],"clock_positions":[40,330,620,910,1200,1490],"native_values":[425,130,425,425,130,425],"rotation_degrees":8.275862068965518,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[425,130,425],"beta":{"interval_sums":[84063,87367,84948,82647,87013,81762],"interval_residues":[283,47,578,47,283,342],"display_cycle":[283,47,578,47,283,342],"intervals":[{"from_index":40,"to_index":330,"sum":84063,"residue":283},{"from_index":330,"to_index":620,"sum":87367,"residue":47},{"from_index":620,"to_index":910,"sum":84948,"residue":578},{"from_index":910,"to_index":1200,"sum":82647,"residue":47},{"from_index":1200,"to_index":1490,"sum":87013,"residue":283},{"from_index":1490,"to_index":40,"sum":81762,"residue":342}],"minimal_cycle":[283,47,578,47,283,342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":283,"start_interval_clock_positions":[40,330],"circle_positions":590,"cycle_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":[41,331,621,911,1201,1491],"clock_positions":[41,331,621,911,1201,1491],"native_values":[181,299,476,299,181,4],"rotation_degrees":8.482758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,299,476,299,181,4],"beta":{"interval_sums":[84012,87493,84897,82478,87257,82183],"interval_residues":[232,173,527,468,527,173],"display_cycle":[232,173,527,468,527,173],"intervals":[{"from_index":41,"to_index":331,"sum":84012,"residue":232},{"from_index":331,"to_index":621,"sum":87493,"residue":173},{"from_index":621,"to_index":911,"sum":84897,"residue":527},{"from_index":911,"to_index":1201,"sum":82478,"residue":468},{"from_index":1201,"to_index":1491,"sum":87257,"residue":527},{"from_index":1491,"to_index":41,"sum":82183,"residue":173}],"minimal_cycle":[232,173,527,468,527,173],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[41,331],"circle_positions":590,"cycle_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":[42,332,622,912,1202,1492],"clock_positions":[42,332,622,912,1202,1492],"native_values":[16,429,311,134,311,429],"rotation_degrees":8.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[16,429,311,134,311,429],"beta":{"interval_sums":[84295,87540,84885,82525,86950,81935],"interval_residues":[515,220,515,515,220,515],"display_cycle":[515,220,515,515,220,515],"intervals":[{"from_index":42,"to_index":332,"sum":84295,"residue":515},{"from_index":332,"to_index":622,"sum":87540,"residue":220},{"from_index":622,"to_index":912,"sum":84885,"residue":515},{"from_index":912,"to_index":1202,"sum":82525,"residue":515},{"from_index":1202,"to_index":1492,"sum":86950,"residue":220},{"from_index":1492,"to_index":42,"sum":81935,"residue":515}],"minimal_cycle":[515,220,515],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":515,"start_interval_clock_positions":[42,332],"circle_positions":590,"cycle_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":[43,333,623,913,1203,1493],"clock_positions":[43,333,623,913,1203,1493],"native_values":[197,138,197,433,492,433],"rotation_degrees":8.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,138,197,433,492,433],"beta":{"interval_sums":[84527,87713,84822,82403,86887,81518],"interval_residues":[157,393,452,393,157,98],"display_cycle":[157,393,452,393,157,98],"intervals":[{"from_index":43,"to_index":333,"sum":84527,"residue":157},{"from_index":333,"to_index":623,"sum":87713,"residue":393},{"from_index":623,"to_index":913,"sum":84822,"residue":452},{"from_index":913,"to_index":1203,"sum":82403,"residue":393},{"from_index":1203,"to_index":1493,"sum":86887,"residue":157},{"from_index":1493,"to_index":43,"sum":81518,"residue":98}],"minimal_cycle":[157,393,452,393,157,98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":157,"start_interval_clock_positions":[43,333],"circle_positions":590,"cycle_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":[44,334,624,914,1204,1494],"clock_positions":[44,334,624,914,1204,1494],"native_values":[213,567,508,567,213,272],"rotation_degrees":9.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,567,508,567,213,272],"beta":{"interval_sums":[84452,87343,84747,82328,87107,81443],"interval_residues":[82,23,377,318,377,23],"display_cycle":[82,23,377,318,377,23],"intervals":[{"from_index":44,"to_index":334,"sum":84452,"residue":82},{"from_index":334,"to_index":624,"sum":87343,"residue":23},{"from_index":624,"to_index":914,"sum":84747,"residue":377},{"from_index":914,"to_index":1204,"sum":82328,"residue":318},{"from_index":1204,"to_index":1494,"sum":87107,"residue":377},{"from_index":1494,"to_index":44,"sum":81443,"residue":23}],"minimal_cycle":[82,23,377,318,377,23],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[44,334],"circle_positions":590,"cycle_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":[45,335,625,915,1205,1495],"clock_positions":[45,335,625,915,1205,1495],"native_values":[410,115,115,410,115,115],"rotation_degrees":9.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[410,115,115],"beta":{"interval_sums":[84609,87736,85199,82131,87264,81541],"interval_residues":[239,416,239,121,534,121],"display_cycle":[239,416,239,121,534,121],"intervals":[{"from_index":45,"to_index":335,"sum":84609,"residue":239},{"from_index":335,"to_index":625,"sum":87736,"residue":416},{"from_index":625,"to_index":915,"sum":85199,"residue":239},{"from_index":915,"to_index":1205,"sum":82131,"residue":121},{"from_index":1205,"to_index":1495,"sum":87264,"residue":534},{"from_index":1495,"to_index":45,"sum":81541,"residue":121}],"minimal_cycle":[239,416,239,121,534,121],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":239,"start_interval_clock_positions":[45,335],"circle_positions":590,"cycle_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":[46,336,626,916,1206,1496],"clock_positions":[46,336,626,916,1206,1496],"native_values":[33,92,33,387,328,387],"rotation_degrees":9.517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[33,92,33,387,328,387],"beta":{"interval_sums":[84691,87759,85576,81859,87051,81564],"interval_residues":[321,439,26,439,321,144],"display_cycle":[321,439,26,439,321,144],"intervals":[{"from_index":46,"to_index":336,"sum":84691,"residue":321},{"from_index":336,"to_index":626,"sum":87759,"residue":439},{"from_index":626,"to_index":916,"sum":85576,"residue":26},{"from_index":916,"to_index":1206,"sum":81859,"residue":439},{"from_index":1206,"to_index":1496,"sum":87051,"residue":321},{"from_index":1496,"to_index":46,"sum":81564,"residue":144}],"minimal_cycle":[321,439,26,439,321,144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":321,"start_interval_clock_positions":[46,336],"circle_positions":590,"cycle_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":[47,337,627,917,1207,1497],"clock_positions":[47,337,627,917,1207,1497],"native_values":[443,207,148,207,443,502],"rotation_degrees":9.724137931034482,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,207,148,207,443,502],"beta":{"interval_sums":[84340,87585,85815,81980,86995,81095],"interval_residues":[560,265,265,560,265,265],"display_cycle":[560,265,265,560,265,265],"intervals":[{"from_index":47,"to_index":337,"sum":84340,"residue":560},{"from_index":337,"to_index":627,"sum":87585,"residue":265},{"from_index":627,"to_index":917,"sum":85815,"residue":265},{"from_index":917,"to_index":1207,"sum":81980,"residue":560},{"from_index":1207,"to_index":1497,"sum":86995,"residue":265},{"from_index":1497,"to_index":47,"sum":81095,"residue":265}],"minimal_cycle":[560,265,265],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":560,"start_interval_clock_positions":[47,337],"circle_positions":590,"cycle_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":[48,338,628,918,1208,1498],"clock_positions":[48,338,628,918,1208,1498],"native_values":[476,299,181,4,181,299],"rotation_degrees":9.931034482758621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[476,299,181,4,181,299],"beta":{"interval_sums":[84071,87434,85841,82419,87316,81239],"interval_residues":[291,114,291,409,586,409],"display_cycle":[291,114,291,409,586,409],"intervals":[{"from_index":48,"to_index":338,"sum":84071,"residue":291},{"from_index":338,"to_index":628,"sum":87434,"residue":114},{"from_index":628,"to_index":918,"sum":85841,"residue":291},{"from_index":918,"to_index":1208,"sum":82419,"residue":409},{"from_index":1208,"to_index":1498,"sum":87316,"residue":586},{"from_index":1498,"to_index":48,"sum":81239,"residue":409}],"minimal_cycle":[291,114,291,409,586,409],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":291,"start_interval_clock_positions":[48,338],"circle_positions":590,"cycle_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":[49,339,629,919,1209,1499],"clock_positions":[49,339,629,919,1209,1499],"native_values":[329,506,329,211,34,211],"rotation_degrees":10.137931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[329,506,329,211,34,211],"beta":{"interval_sums":[84041,87109,85516,82389,87581,81504],"interval_residues":[261,379,556,379,261,84],"display_cycle":[261,379,556,379,261,84],"intervals":[{"from_index":49,"to_index":339,"sum":84041,"residue":261},{"from_index":339,"to_index":629,"sum":87109,"residue":379},{"from_index":629,"to_index":919,"sum":85516,"residue":556},{"from_index":919,"to_index":1209,"sum":82389,"residue":379},{"from_index":1209,"to_index":1499,"sum":87581,"residue":261},{"from_index":1499,"to_index":49,"sum":81504,"residue":84}],"minimal_cycle":[261,379,556,379,261,84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":261,"start_interval_clock_positions":[49,339],"circle_positions":590,"cycle_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":[50,340,630,920,1210,1500],"clock_positions":[50,340,630,920,1210,1500],"native_values":[215,215,510,215,215,510],"rotation_degrees":10.344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[215,215,510],"beta":{"interval_sums":[84332,87223,85217,82208,87577,81323],"interval_residues":[552,493,257,198,257,493],"display_cycle":[552,493,257,198,257,493],"intervals":[{"from_index":50,"to_index":340,"sum":84332,"residue":552},{"from_index":340,"to_index":630,"sum":87223,"residue":493},{"from_index":630,"to_index":920,"sum":85217,"residue":257},{"from_index":920,"to_index":1210,"sum":82208,"residue":198},{"from_index":1210,"to_index":1500,"sum":87577,"residue":257},{"from_index":1500,"to_index":50,"sum":81323,"residue":493}],"minimal_cycle":[552,493,257,198,257,493],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[50,340],"circle_positions":590,"cycle_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":[51,341,631,921,1211,1501],"clock_positions":[51,341,631,921,1211,1501],"native_values":[544,131,249,426,249,131],"rotation_degrees":10.551724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[544,131,249,426,249,131],"beta":{"interval_sums":[84003,87602,85183,81997,87838,81407],"interval_residues":[223,282,223,577,518,577],"display_cycle":[223,282,223,577,518,577],"intervals":[{"from_index":51,"to_index":341,"sum":84003,"residue":223},{"from_index":341,"to_index":631,"sum":87602,"residue":282},{"from_index":631,"to_index":921,"sum":85183,"residue":223},{"from_index":921,"to_index":1211,"sum":81997,"residue":577},{"from_index":1211,"to_index":1501,"sum":87838,"residue":518},{"from_index":1501,"to_index":51,"sum":81407,"residue":577}],"minimal_cycle":[223,282,223,577,518,577],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":223,"start_interval_clock_positions":[51,341],"circle_positions":590,"cycle_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":[52,342,632,922,1212,1502],"clock_positions":[52,342,632,922,1212,1502],"native_values":[169,346,169,51,464,51],"rotation_degrees":10.758620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,346,169,51,464,51],"beta":{"interval_sums":[83965,87505,85440,82195,87505,81900],"interval_residues":[185,185,480,185,185,480],"display_cycle":[185,185,480,185,185,480],"intervals":[{"from_index":52,"to_index":342,"sum":83965,"residue":185},{"from_index":342,"to_index":632,"sum":87505,"residue":185},{"from_index":632,"to_index":922,"sum":85440,"residue":480},{"from_index":922,"to_index":1212,"sum":82195,"residue":185},{"from_index":1212,"to_index":1502,"sum":87505,"residue":185},{"from_index":1502,"to_index":52,"sum":81900,"residue":480}],"minimal_cycle":[185,185,480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":185,"start_interval_clock_positions":[52,342],"circle_positions":590,"cycle_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":[53,343,633,923,1213,1503],"clock_positions":[53,343,633,923,1213,1503],"native_values":[123,477,418,477,123,182],"rotation_degrees":10.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,477,418,477,123,182],"beta":{"interval_sums":[84188,87197,85073,82182,87433,81887],"interval_residues":[408,467,113,172,113,467],"display_cycle":[408,467,113,172,113,467],"intervals":[{"from_index":53,"to_index":343,"sum":84188,"residue":408},{"from_index":343,"to_index":633,"sum":87197,"residue":467},{"from_index":633,"to_index":923,"sum":85073,"residue":113},{"from_index":923,"to_index":1213,"sum":82182,"residue":172},{"from_index":1213,"to_index":1503,"sum":87433,"residue":113},{"from_index":1503,"to_index":53,"sum":81887,"residue":467}],"minimal_cycle":[408,467,113,172,113,467],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[53,343],"circle_positions":590,"cycle_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":[54,344,634,924,1214,1504],"clock_positions":[54,344,634,924,1214,1504],"native_values":[292,233,587,528,587,233],"rotation_degrees":11.172413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,233,587,528,587,233],"beta":{"interval_sums":[84373,87382,84963,81777,87028,81777],"interval_residues":[3,62,3,357,298,357],"display_cycle":[3,62,3,357,298,357],"intervals":[{"from_index":54,"to_index":344,"sum":84373,"residue":3},{"from_index":344,"to_index":634,"sum":87382,"residue":62},{"from_index":634,"to_index":924,"sum":84963,"residue":3},{"from_index":924,"to_index":1214,"sum":81777,"residue":357},{"from_index":1214,"to_index":1504,"sum":87028,"residue":298},{"from_index":1504,"to_index":54,"sum":81777,"residue":357}],"minimal_cycle":[3,62,3,357,298,357],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":3,"start_interval_clock_positions":[54,344],"circle_positions":590,"cycle_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":[55,345,635,925,1215,1505],"clock_positions":[55,345,635,925,1215,1505],"native_values":[415,120,415,415,120,415],"rotation_degrees":11.379310344827585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[415,120,415],"beta":{"interval_sums":[84191,87849,85076,81949,87141,81654],"interval_residues":[411,529,116,529,411,234],"display_cycle":[411,529,116,529,411,234],"intervals":[{"from_index":55,"to_index":345,"sum":84191,"residue":411},{"from_index":345,"to_index":635,"sum":87849,"residue":529},{"from_index":635,"to_index":925,"sum":85076,"residue":116},{"from_index":925,"to_index":1215,"sum":81949,"residue":529},{"from_index":1215,"to_index":1505,"sum":87141,"residue":411},{"from_index":1505,"to_index":55,"sum":81654,"residue":234}],"minimal_cycle":[411,529,116,529,411,234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":411,"start_interval_clock_positions":[55,345],"circle_positions":590,"cycle_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":[56,346,636,926,1216,1506],"clock_positions":[56,346,636,926,1216,1506],"native_values":[117,353,412,353,117,58],"rotation_degrees":11.586206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,353,412,353,117,58],"beta":{"interval_sums":[84194,87911,85079,81716,87439,82011],"interval_residues":[414,1,119,296,119,1],"display_cycle":[414,1,119,296,119,1],"intervals":[{"from_index":56,"to_index":346,"sum":84194,"residue":414},{"from_index":346,"to_index":636,"sum":87911,"residue":1},{"from_index":636,"to_index":926,"sum":85079,"residue":119},{"from_index":926,"to_index":1216,"sum":81716,"residue":296},{"from_index":1216,"to_index":1506,"sum":87439,"residue":119},{"from_index":1506,"to_index":56,"sum":82011,"residue":1}],"minimal_cycle":[414,1,119,296,119,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[56,346],"circle_positions":590,"cycle_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":[57,347,637,927,1217,1507],"clock_positions":[57,347,637,927,1217,1507],"native_values":[532,473,237,178,237,473],"rotation_degrees":11.793103448275861,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[532,473,237,178,237,473],"beta":{"interval_sums":[84015,87850,85195,81655,87260,81655],"interval_residues":[235,530,235,235,530,235],"display_cycle":[235,530,235,235,530,235],"intervals":[{"from_index":57,"to_index":347,"sum":84015,"residue":235},{"from_index":347,"to_index":637,"sum":87850,"residue":530},{"from_index":637,"to_index":927,"sum":85195,"residue":235},{"from_index":927,"to_index":1217,"sum":81655,"residue":235},{"from_index":1217,"to_index":1507,"sum":87260,"residue":530},{"from_index":1507,"to_index":57,"sum":81655,"residue":235}],"minimal_cycle":[235,530,235],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":235,"start_interval_clock_positions":[57,347],"circle_positions":590,"cycle_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":[58,348,638,928,1218,1508],"clock_positions":[58,348,638,928,1218,1508],"native_values":[59,236,59,531,354,531],"rotation_degrees":12.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[59,236,59,531,354,531],"beta":{"interval_sums":[84429,87851,85314,81361,87379,81656],"interval_residues":[59,531,354,531,59,236],"display_cycle":[59,531,354,531,59,236],"intervals":[{"from_index":58,"to_index":348,"sum":84429,"residue":59},{"from_index":348,"to_index":638,"sum":87851,"residue":531},{"from_index":638,"to_index":928,"sum":85314,"residue":354},{"from_index":928,"to_index":1218,"sum":81361,"residue":531},{"from_index":1218,"to_index":1508,"sum":87379,"residue":59},{"from_index":1508,"to_index":58,"sum":81656,"residue":236}],"minimal_cycle":[59,531,354,531,59,236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":59,"start_interval_clock_positions":[58,348],"circle_positions":590,"cycle_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":[59,349,639,929,1219,1509],"clock_positions":[59,349,639,929,1219,1509],"native_values":[1,119,296,119,1,414],"rotation_degrees":12.206896551724139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,119,296,119,1,414],"beta":{"interval_sums":[84664,87791,85549,81596,87909,81301],"interval_residues":[294,471,589,176,589,471],"display_cycle":[294,471,589,176,589,471],"intervals":[{"from_index":59,"to_index":349,"sum":84664,"residue":294},{"from_index":349,"to_index":639,"sum":87791,"residue":471},{"from_index":639,"to_index":929,"sum":85549,"residue":589},{"from_index":929,"to_index":1219,"sum":81596,"residue":176},{"from_index":1219,"to_index":1509,"sum":87909,"residue":589},{"from_index":1509,"to_index":59,"sum":81301,"residue":471}],"minimal_cycle":[294,471,589,176,589,471],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[59,349],"circle_positions":590,"cycle_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":[60,350,640,930,1220,1510],"clock_positions":[60,350,640,930,1220,1510],"native_values":[60,355,355,60,355,355],"rotation_degrees":12.413793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,355,355],"beta":{"interval_sums":[84723,87732,85313,81537,87968,80947],"interval_residues":[353,412,353,117,58,117],"display_cycle":[353,412,353,117,58,117],"intervals":[{"from_index":60,"to_index":350,"sum":84723,"residue":353},{"from_index":350,"to_index":640,"sum":87732,"residue":412},{"from_index":640,"to_index":930,"sum":85313,"residue":353},{"from_index":930,"to_index":1220,"sum":81537,"residue":117},{"from_index":1220,"to_index":1510,"sum":87968,"residue":58},{"from_index":1510,"to_index":60,"sum":80947,"residue":117}],"minimal_cycle":[353,412,353,117,58,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":353,"start_interval_clock_positions":[60,350],"circle_positions":590,"cycle_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":[61,351,641,931,1221,1511],"clock_positions":[61,351,641,931,1221,1511],"native_values":[61,474,61,179,356,179],"rotation_degrees":12.620689655172415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,474,61,179,356,179],"beta":{"interval_sums":[85017,87613,85312,81713,87967,80828],"interval_residues":[57,293,352,293,57,588],"display_cycle":[57,293,352,293,57,588],"intervals":[{"from_index":61,"to_index":351,"sum":85017,"residue":57},{"from_index":351,"to_index":641,"sum":87613,"residue":293},{"from_index":641,"to_index":931,"sum":85312,"residue":352},{"from_index":931,"to_index":1221,"sum":81713,"residue":293},{"from_index":1221,"to_index":1511,"sum":87967,"residue":57},{"from_index":1511,"to_index":61,"sum":80828,"residue":588}],"minimal_cycle":[57,293,352,293,57,588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":57,"start_interval_clock_positions":[61,351],"circle_positions":590,"cycle_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":[62,352,642,932,1222,1512],"clock_positions":[62,352,642,932,1222,1512],"native_values":[121,239,416,239,121,534],"rotation_degrees":12.827586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[121,239,416,239,121,534],"beta":{"interval_sums":[85370,87435,85075,81830,88025,80355],"interval_residues":[410,115,115,410,115,115],"display_cycle":[410,115,115,410,115,115],"intervals":[{"from_index":62,"to_index":352,"sum":85370,"residue":410},{"from_index":352,"to_index":642,"sum":87435,"residue":115},{"from_index":642,"to_index":932,"sum":85075,"residue":115},{"from_index":932,"to_index":1222,"sum":81830,"residue":410},{"from_index":1222,"to_index":1512,"sum":88025,"residue":115},{"from_index":1512,"to_index":62,"sum":80355,"residue":115}],"minimal_cycle":[410,115,115],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[62,352],"circle_positions":590,"cycle_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":[63,353,643,933,1223,1513],"clock_positions":[63,353,643,933,1223,1513],"native_values":[182,123,477,418,477,123],"rotation_degrees":13.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[182,123,477,418,477,123],"beta":{"interval_sums":[85427,87728,84837,81533,88082,80353],"interval_residues":[467,408,467,113,172,113],"display_cycle":[467,408,467,113,172,113],"intervals":[{"from_index":63,"to_index":353,"sum":85427,"residue":467},{"from_index":353,"to_index":643,"sum":87728,"residue":408},{"from_index":643,"to_index":933,"sum":84837,"residue":467},{"from_index":933,"to_index":1223,"sum":81533,"residue":113},{"from_index":1223,"to_index":1513,"sum":88082,"residue":172},{"from_index":1513,"to_index":63,"sum":80353,"residue":113}],"minimal_cycle":[467,408,467,113,172,113],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":467,"start_interval_clock_positions":[63,353],"circle_positions":590,"cycle_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":[64,354,644,934,1224,1514],"clock_positions":[64,354,644,934,1224,1514],"native_values":[303,362,303,67,8,67],"rotation_degrees":13.241379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[303,362,303,67,8,67],"beta":{"interval_sums":[85247,87843,84952,81943,88197,80468],"interval_residues":[287,523,582,523,287,228],"display_cycle":[287,523,582,523,287,228],"intervals":[{"from_index":64,"to_index":354,"sum":85247,"residue":287},{"from_index":354,"to_index":644,"sum":87843,"residue":523},{"from_index":644,"to_index":934,"sum":84952,"residue":582},{"from_index":934,"to_index":1224,"sum":81943,"residue":523},{"from_index":1224,"to_index":1514,"sum":88197,"residue":287},{"from_index":1514,"to_index":64,"sum":80468,"residue":228}],"minimal_cycle":[287,523,582,523,287,228],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":287,"start_interval_clock_positions":[64,354],"circle_positions":590,"cycle_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":[65,355,645,935,1225,1515],"clock_positions":[65,355,645,935,1225,1515],"native_values":[485,485,190,485,485,190],"rotation_degrees":13.448275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,485,190],"beta":{"interval_sums":[85124,87661,84829,81466,87779,80581],"interval_residues":[164,341,459,46,459,341],"display_cycle":[164,341,459,46,459,341],"intervals":[{"from_index":65,"to_index":355,"sum":85124,"residue":164},{"from_index":355,"to_index":645,"sum":87661,"residue":341},{"from_index":645,"to_index":935,"sum":84829,"residue":459},{"from_index":935,"to_index":1225,"sum":81466,"residue":46},{"from_index":1225,"to_index":1515,"sum":87779,"residue":459},{"from_index":1515,"to_index":65,"sum":80581,"residue":341}],"minimal_cycle":[164,341,459,46,459,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[65,355],"circle_positions":590,"cycle_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":[66,356,646,936,1226,1516],"clock_positions":[66,356,646,936,1226,1516],"native_values":[198,257,493,552,493,257],"rotation_degrees":13.655172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[198,257,493,552,493,257],"beta":{"interval_sums":[85411,87594,84821,81399,87476,80809],"interval_residues":[451,274,451,569,156,569],"display_cycle":[451,274,451,569,156,569],"intervals":[{"from_index":66,"to_index":356,"sum":85411,"residue":451},{"from_index":356,"to_index":646,"sum":87594,"residue":274},{"from_index":646,"to_index":936,"sum":84821,"residue":451},{"from_index":936,"to_index":1226,"sum":81399,"residue":569},{"from_index":1226,"to_index":1516,"sum":87476,"residue":156},{"from_index":1516,"to_index":66,"sum":80809,"residue":569}],"minimal_cycle":[451,274,451,569,156,569],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":451,"start_interval_clock_positions":[66,356],"circle_positions":590,"cycle_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":[67,357,647,937,1227,1517],"clock_positions":[67,357,647,937,1227,1517],"native_values":[93,152,93,447,388,447],"rotation_degrees":13.862068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,152,93,447,388,447],"beta":{"interval_sums":[85575,87935,85280,81445,87345,80560],"interval_residues":[25,25,320,25,25,320],"display_cycle":[25,25,320,25,25,320],"intervals":[{"from_index":67,"to_index":357,"sum":85575,"residue":25},{"from_index":357,"to_index":647,"sum":87935,"residue":25},{"from_index":647,"to_index":937,"sum":85280,"residue":320},{"from_index":937,"to_index":1227,"sum":81445,"residue":25},{"from_index":1227,"to_index":1517,"sum":87345,"residue":25},{"from_index":1517,"to_index":67,"sum":80560,"residue":320}],"minimal_cycle":[25,25,320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":25,"start_interval_clock_positions":[67,357],"circle_positions":590,"cycle_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":[68,358,648,938,1228,1518],"clock_positions":[68,358,648,938,1228,1518],"native_values":[291,409,586,409,291,114],"rotation_degrees":14.068965517241379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,409,586,409,291,114],"beta":{"interval_sums":[85436,87619,85141,81424,87501,80539],"interval_residues":[476,299,181,4,181,299],"display_cycle":[476,299,181,4,181,299],"intervals":[{"from_index":68,"to_index":358,"sum":85436,"residue":476},{"from_index":358,"to_index":648,"sum":87619,"residue":299},{"from_index":648,"to_index":938,"sum":85141,"residue":181},{"from_index":938,"to_index":1228,"sum":81424,"residue":4},{"from_index":1228,"to_index":1518,"sum":87501,"residue":181},{"from_index":1518,"to_index":68,"sum":80539,"residue":299}],"minimal_cycle":[476,299,181,4,181,299],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":476,"start_interval_clock_positions":[68,358],"circle_positions":590,"cycle_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":[69,359,649,939,1229,1519],"clock_positions":[69,359,649,939,1229,1519],"native_values":[384,561,89,266,89,561],"rotation_degrees":14.275862068965518,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[384,561,89,266,89,561],"beta":{"interval_sums":[85461,87644,85461,81449,87526,80269],"interval_residues":[501,324,501,29,206,29],"display_cycle":[501,324,501,29,206,29],"intervals":[{"from_index":69,"to_index":359,"sum":85461,"residue":501},{"from_index":359,"to_index":649,"sum":87644,"residue":324},{"from_index":649,"to_index":939,"sum":85461,"residue":501},{"from_index":939,"to_index":1229,"sum":81449,"residue":29},{"from_index":1229,"to_index":1519,"sum":87526,"residue":206},{"from_index":1519,"to_index":69,"sum":80269,"residue":29}],"minimal_cycle":[501,324,501,29,206,29],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":501,"start_interval_clock_positions":[69,359],"circle_positions":590,"cycle_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":[70,360,650,940,1230,1520],"clock_positions":[70,360,650,940,1230,1520],"native_values":[85,380,85,85,380,85],"rotation_degrees":14.482758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,380,85],"beta":{"interval_sums":[85937,87353,85642,81453,87707,80568],"interval_residues":[387,33,92,33,387,328],"display_cycle":[387,33,92,33,387,328],"intervals":[{"from_index":70,"to_index":360,"sum":85937,"residue":387},{"from_index":360,"to_index":650,"sum":87353,"residue":33},{"from_index":650,"to_index":940,"sum":85642,"residue":92},{"from_index":940,"to_index":1230,"sum":81453,"residue":33},{"from_index":1230,"to_index":1520,"sum":87707,"residue":387},{"from_index":1520,"to_index":70,"sum":80568,"residue":328}],"minimal_cycle":[387,33,92,33,387,328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":387,"start_interval_clock_positions":[70,360],"circle_positions":590,"cycle_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":[71,361,651,941,1231,1521],"clock_positions":[71,361,651,941,1231,1521],"native_values":[469,351,174,351,469,56],"rotation_degrees":14.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,351,174,351,469,56],"beta":{"interval_sums":[85848,87087,85553,81482,87323,80597],"interval_residues":[298,357,3,62,3,357],"display_cycle":[298,357,3,62,3,357],"intervals":[{"from_index":71,"to_index":361,"sum":85848,"residue":298},{"from_index":361,"to_index":651,"sum":87087,"residue":357},{"from_index":651,"to_index":941,"sum":85553,"residue":3},{"from_index":941,"to_index":1231,"sum":81482,"residue":62},{"from_index":1231,"to_index":1521,"sum":87323,"residue":3},{"from_index":1521,"to_index":71,"sum":80597,"residue":357}],"minimal_cycle":[298,357,3,62,3,357],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[71,361],"circle_positions":590,"cycle_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":[72,362,652,942,1232,1522],"clock_positions":[72,362,652,942,1232,1522],"native_values":[554,141,259,436,259,141],"rotation_degrees":14.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[554,141,259,436,259,141],"beta":{"interval_sums":[85645,87120,85645,81515,87120,80925],"interval_residues":[95,390,95,95,390,95],"display_cycle":[95,390,95,95,390,95],"intervals":[{"from_index":72,"to_index":362,"sum":85645,"residue":95},{"from_index":362,"to_index":652,"sum":87120,"residue":390},{"from_index":652,"to_index":942,"sum":85645,"residue":95},{"from_index":942,"to_index":1232,"sum":81515,"residue":95},{"from_index":1232,"to_index":1522,"sum":87120,"residue":390},{"from_index":1522,"to_index":72,"sum":80925,"residue":95}],"minimal_cycle":[95,390,95],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":95,"start_interval_clock_positions":[72,362],"circle_positions":590,"cycle_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":[73,363,653,943,1233,1523],"clock_positions":[73,363,653,943,1233,1523],"native_values":[433,492,433,197,138,197],"rotation_degrees":15.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,492,433,197,138,197],"beta":{"interval_sums":[85353,86887,85648,81577,87123,81282],"interval_residues":[393,157,98,157,393,452],"display_cycle":[393,157,98,157,393,452],"intervals":[{"from_index":73,"to_index":363,"sum":85353,"residue":393},{"from_index":363,"to_index":653,"sum":86887,"residue":157},{"from_index":653,"to_index":943,"sum":85648,"residue":98},{"from_index":943,"to_index":1233,"sum":81577,"residue":157},{"from_index":1233,"to_index":1523,"sum":87123,"residue":393},{"from_index":1523,"to_index":73,"sum":81282,"residue":452}],"minimal_cycle":[393,157,98,157,393,452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":393,"start_interval_clock_positions":[73,363],"circle_positions":590,"cycle_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":[74,364,654,944,1234,1524],"clock_positions":[74,364,654,944,1234,1524],"native_values":[397,43,102,43,397,338],"rotation_degrees":15.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,43,102,43,397,338],"beta":{"interval_sums":[85448,87277,85743,81672,86923,81377],"interval_residues":[488,547,193,252,193,547],"display_cycle":[488,547,193,252,193,547],"intervals":[{"from_index":74,"to_index":364,"sum":85448,"residue":488},{"from_index":364,"to_index":654,"sum":87277,"residue":547},{"from_index":654,"to_index":944,"sum":85743,"residue":193},{"from_index":944,"to_index":1234,"sum":81672,"residue":252},{"from_index":1234,"to_index":1524,"sum":86923,"residue":193},{"from_index":1524,"to_index":74,"sum":81377,"residue":547}],"minimal_cycle":[488,547,193,252,193,547],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":488,"start_interval_clock_positions":[74,364],"circle_positions":590,"cycle_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":[75,365,655,945,1235,1525],"clock_positions":[75,365,655,945,1235,1525],"native_values":[240,535,535,240,535,535],"rotation_degrees":15.517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[240,535,535],"beta":{"interval_sums":[85251,86844,85251,81829,86726,81239],"interval_residues":[291,114,291,409,586,409],"display_cycle":[291,114,291,409,586,409],"intervals":[{"from_index":75,"to_index":365,"sum":85251,"residue":291},{"from_index":365,"to_index":655,"sum":86844,"residue":114},{"from_index":655,"to_index":945,"sum":85251,"residue":291},{"from_index":945,"to_index":1235,"sum":81829,"residue":409},{"from_index":1235,"to_index":1525,"sum":86726,"residue":586},{"from_index":1525,"to_index":75,"sum":81239,"residue":409}],"minimal_cycle":[291,114,291,409,586,409],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":291,"start_interval_clock_positions":[75,365],"circle_positions":590,"cycle_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":[76,366,656,946,1236,1526],"clock_positions":[76,366,656,946,1236,1526],"native_values":[47,578,47,283,342,283],"rotation_degrees":15.724137931034482,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,578,47,283,342,283],"beta":{"interval_sums":[85739,86801,85444,82081,86919,81196],"interval_residues":[189,71,484,71,189,366],"display_cycle":[189,71,484,71,189,366],"intervals":[{"from_index":76,"to_index":366,"sum":85739,"residue":189},{"from_index":366,"to_index":656,"sum":86801,"residue":71},{"from_index":656,"to_index":946,"sum":85444,"residue":484},{"from_index":946,"to_index":1236,"sum":82081,"residue":71},{"from_index":1236,"to_index":1526,"sum":86919,"residue":189},{"from_index":1526,"to_index":76,"sum":81196,"residue":366}],"minimal_cycle":[189,71,484,71,189,366],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":189,"start_interval_clock_positions":[76,366],"circle_positions":590,"cycle_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":[77,367,657,947,1237,1527],"clock_positions":[77,367,657,947,1237,1527],"native_values":[287,523,582,523,287,228],"rotation_degrees":15.931034482758621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,523,582,523,287,228],"beta":{"interval_sums":[86030,86325,85145,81900,86915,81015],"interval_residues":[480,185,185,480,185,185],"display_cycle":[480,185,185,480,185,185],"intervals":[{"from_index":77,"to_index":367,"sum":86030,"residue":480},{"from_index":367,"to_index":657,"sum":86325,"residue":185},{"from_index":657,"to_index":947,"sum":85145,"residue":185},{"from_index":947,"to_index":1237,"sum":81900,"residue":480},{"from_index":1237,"to_index":1527,"sum":86915,"residue":185},{"from_index":1527,"to_index":77,"sum":81015,"residue":185}],"minimal_cycle":[480,185,185],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[77,367],"circle_positions":590,"cycle_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":[78,368,658,948,1238,1528],"clock_positions":[78,368,658,948,1238,1528],"native_values":[334,511,39,216,39,511],"rotation_degrees":16.137931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[334,511,39,216,39,511],"beta":{"interval_sums":[86219,86396,85629,81971,87104,80791],"interval_residues":[79,256,79,551,374,551],"display_cycle":[79,256,79,551,374,551],"intervals":[{"from_index":78,"to_index":368,"sum":86219,"residue":79},{"from_index":368,"to_index":658,"sum":86396,"residue":256},{"from_index":658,"to_index":948,"sum":85629,"residue":79},{"from_index":948,"to_index":1238,"sum":81971,"residue":551},{"from_index":1238,"to_index":1528,"sum":87104,"residue":374},{"from_index":1528,"to_index":78,"sum":80791,"residue":551}],"minimal_cycle":[79,256,79,551,374,551],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":79,"start_interval_clock_positions":[78,368],"circle_positions":590,"cycle_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":[79,369,659,949,1239,1529],"clock_positions":[79,369,659,949,1239,1529],"native_values":[31,444,31,149,326,149],"rotation_degrees":16.344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,444,31,149,326,149],"beta":{"interval_sums":[86699,85991,85814,81861,87289,80976],"interval_residues":[559,441,264,441,559,146],"display_cycle":[559,441,264,441,559,146],"intervals":[{"from_index":79,"to_index":369,"sum":86699,"residue":559},{"from_index":369,"to_index":659,"sum":85991,"residue":441},{"from_index":659,"to_index":949,"sum":85814,"residue":264},{"from_index":949,"to_index":1239,"sum":81861,"residue":441},{"from_index":1239,"to_index":1529,"sum":87289,"residue":559},{"from_index":1529,"to_index":79,"sum":80976,"residue":146}],"minimal_cycle":[559,441,264,441,559,146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":559,"start_interval_clock_positions":[79,369],"circle_positions":590,"cycle_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":[80,370,660,950,1240,1530],"clock_positions":[80,370,660,950,1240,1530],"native_values":[365,365,70,365,365,70],"rotation_degrees":16.551724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[365,365,70],"beta":{"interval_sums":[86778,85657,85893,81822,87073,80937],"interval_residues":[48,107,343,402,343,107],"display_cycle":[48,107,343,402,343,107],"intervals":[{"from_index":80,"to_index":370,"sum":86778,"residue":48},{"from_index":370,"to_index":660,"sum":85657,"residue":107},{"from_index":660,"to_index":950,"sum":85893,"residue":343},{"from_index":950,"to_index":1240,"sum":81822,"residue":402},{"from_index":1240,"to_index":1530,"sum":87073,"residue":343},{"from_index":1530,"to_index":80,"sum":80937,"residue":107}],"minimal_cycle":[48,107,343,402,343,107],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":48,"start_interval_clock_positions":[80,370],"circle_positions":590,"cycle_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":[81,371,661,951,1241,1531],"clock_positions":[81,371,661,951,1241,1531],"native_values":[396,219,101,514,101,219],"rotation_degrees":16.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[396,219,101,514,101,219],"beta":{"interval_sums":[86747,85508,86157,81673,87042,81083],"interval_residues":[17,548,17,253,312,253],"display_cycle":[17,548,17,253,312,253],"intervals":[{"from_index":81,"to_index":371,"sum":86747,"residue":17},{"from_index":371,"to_index":661,"sum":85508,"residue":548},{"from_index":661,"to_index":951,"sum":86157,"residue":17},{"from_index":951,"to_index":1241,"sum":81673,"residue":253},{"from_index":1241,"to_index":1531,"sum":87042,"residue":312},{"from_index":1531,"to_index":81,"sum":81083,"residue":253}],"minimal_cycle":[17,548,17,253,312,253],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":17,"start_interval_clock_positions":[81,371],"circle_positions":590,"cycle_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":[82,372,662,952,1242,1532],"clock_positions":[82,372,662,952,1242,1532],"native_values":[171,584,171,289,466,289],"rotation_degrees":16.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,584,171,289,466,289],"beta":{"interval_sums":[86795,85025,86500,81485,86795,81190],"interval_residues":[65,65,360,65,65,360],"display_cycle":[65,65,360,65,65,360],"intervals":[{"from_index":82,"to_index":372,"sum":86795,"residue":65},{"from_index":372,"to_index":662,"sum":85025,"residue":65},{"from_index":662,"to_index":952,"sum":86500,"residue":360},{"from_index":952,"to_index":1242,"sum":81485,"residue":65},{"from_index":1242,"to_index":1532,"sum":86795,"residue":65},{"from_index":1532,"to_index":82,"sum":81190,"residue":360}],"minimal_cycle":[65,65,360],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":65,"start_interval_clock_positions":[82,372],"circle_positions":590,"cycle_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":[83,373,663,953,1243,1533],"clock_positions":[83,373,663,953,1243,1533],"native_values":[567,213,272,213,567,508],"rotation_degrees":17.17241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,213,272,213,567,508],"beta":{"interval_sums":[86812,84983,86517,81738,86517,80853],"interval_residues":[82,23,377,318,377,23],"display_cycle":[82,23,377,318,377,23],"intervals":[{"from_index":83,"to_index":373,"sum":86812,"residue":82},{"from_index":373,"to_index":663,"sum":84983,"residue":23},{"from_index":663,"to_index":953,"sum":86517,"residue":377},{"from_index":953,"to_index":1243,"sum":81738,"residue":318},{"from_index":1243,"to_index":1533,"sum":86517,"residue":377},{"from_index":1533,"to_index":83,"sum":80853,"residue":23}],"minimal_cycle":[82,23,377,318,377,23],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[83,373],"circle_positions":590,"cycle_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":[84,374,664,954,1244,1534],"clock_positions":[84,374,664,954,1244,1534],"native_values":[148,207,443,502,443,207],"rotation_degrees":17.379310344827587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[148,207,443,502,443,207],"beta":{"interval_sums":[86877,85048,86287,81803,86582,81213],"interval_residues":[147,88,147,383,442,383],"display_cycle":[147,88,147,383,442,383],"intervals":[{"from_index":84,"to_index":374,"sum":86877,"residue":147},{"from_index":374,"to_index":664,"sum":85048,"residue":88},{"from_index":664,"to_index":954,"sum":86287,"residue":147},{"from_index":954,"to_index":1244,"sum":81803,"residue":383},{"from_index":1244,"to_index":1534,"sum":86582,"residue":442},{"from_index":1534,"to_index":84,"sum":81213,"residue":383}],"minimal_cycle":[147,88,147,383,442,383],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":147,"start_interval_clock_positions":[84,374],"circle_positions":590,"cycle_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":[85,375,665,955,1245,1535],"clock_positions":[85,375,665,955,1245,1535],"native_values":[125,420,125,125,420,125],"rotation_degrees":17.586206896551722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,420,125],"beta":{"interval_sums":[86959,85071,86664,82121,86369,81236],"interval_residues":[229,111,524,111,229,406],"display_cycle":[229,111,524,111,229,406],"intervals":[{"from_index":85,"to_index":375,"sum":86959,"residue":229},{"from_index":375,"to_index":665,"sum":85071,"residue":111},{"from_index":665,"to_index":955,"sum":86664,"residue":524},{"from_index":955,"to_index":1245,"sum":82121,"residue":111},{"from_index":1245,"to_index":1535,"sum":86369,"residue":229},{"from_index":1535,"to_index":85,"sum":81236,"residue":406}],"minimal_cycle":[229,111,524,111,229,406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":229,"start_interval_clock_positions":[85,375],"circle_positions":590,"cycle_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":[86,376,666,956,1246,1536],"clock_positions":[86,376,666,956,1246,1536],"native_values":[273,37,568,37,273,332],"rotation_degrees":17.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[273,37,568,37,273,332],"beta":{"interval_sums":[87106,85159,86221,82504,86221,81029],"interval_residues":[376,199,81,494,81,199],"display_cycle":[376,199,81,494,81,199],"intervals":[{"from_index":86,"to_index":376,"sum":87106,"residue":376},{"from_index":376,"to_index":666,"sum":85159,"residue":199},{"from_index":666,"to_index":956,"sum":86221,"residue":81},{"from_index":956,"to_index":1246,"sum":82504,"residue":494},{"from_index":1246,"to_index":1536,"sum":86221,"residue":81},{"from_index":1536,"to_index":86,"sum":81029,"residue":199}],"minimal_cycle":[376,199,81,494,81,199],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":376,"start_interval_clock_positions":[86,376],"circle_positions":590,"cycle_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":[87,377,667,957,1247,1537],"clock_positions":[87,377,667,957,1247,1537],"native_values":[398,457,103,162,103,457],"rotation_degrees":18.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[398,457,103,162,103,457],"beta":{"interval_sums":[86745,85270,86155,82615,86450,80845],"interval_residues":[15,310,15,15,310,15],"display_cycle":[15,310,15,15,310,15],"intervals":[{"from_index":87,"to_index":377,"sum":86745,"residue":15},{"from_index":377,"to_index":667,"sum":85270,"residue":310},{"from_index":667,"to_index":957,"sum":86155,"residue":15},{"from_index":957,"to_index":1247,"sum":82615,"residue":15},{"from_index":1247,"to_index":1537,"sum":86450,"residue":310},{"from_index":1537,"to_index":87,"sum":80845,"residue":15}],"minimal_cycle":[15,310,15],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":15,"start_interval_clock_positions":[87,377],"circle_positions":590,"cycle_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":[88,378,668,958,1248,1538],"clock_positions":[88,378,668,958,1248,1538],"native_values":[81,494,81,199,376,199],"rotation_degrees":18.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,494,81,199,376,199],"beta":{"interval_sums":[87121,84879,86236,82519,86531,81044],"interval_residues":[391,509,96,509,391,214],"display_cycle":[391,509,96,509,391,214],"intervals":[{"from_index":88,"to_index":378,"sum":87121,"residue":391},{"from_index":378,"to_index":668,"sum":84879,"residue":509},{"from_index":668,"to_index":958,"sum":86236,"residue":96},{"from_index":958,"to_index":1248,"sum":82519,"residue":509},{"from_index":1248,"to_index":1538,"sum":86531,"residue":391},{"from_index":1538,"to_index":88,"sum":81044,"residue":214}],"minimal_cycle":[391,509,96,509,391,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":391,"start_interval_clock_positions":[88,378],"circle_positions":590,"cycle_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":[89,379,669,959,1249,1539],"clock_positions":[89,379,669,959,1249,1539],"native_values":[479,361,184,361,479,66],"rotation_degrees":18.413793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[479,361,184,361,479,66],"beta":{"interval_sums":[87136,84599,86251,82534,86251,81059],"interval_residues":[406,229,111,524,111,229],"display_cycle":[406,229,111,524,111,229],"intervals":[{"from_index":89,"to_index":379,"sum":87136,"residue":406},{"from_index":379,"to_index":669,"sum":84599,"residue":229},{"from_index":669,"to_index":959,"sum":86251,"residue":111},{"from_index":959,"to_index":1249,"sum":82534,"residue":524},{"from_index":1249,"to_index":1539,"sum":86251,"residue":111},{"from_index":1539,"to_index":89,"sum":81059,"residue":229}],"minimal_cycle":[406,229,111,524,111,229],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[89,379],"circle_positions":590,"cycle_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":[90,380,670,960,1250,1540],"clock_positions":[90,380,670,960,1250,1540],"native_values":[560,265,265,560,265,265],"rotation_degrees":18.620689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[560,265,265],"beta":{"interval_sums":[86937,84518,86347,82453,86052,81273],"interval_residues":[207,148,207,443,502,443],"display_cycle":[207,148,207,443,502,443],"intervals":[{"from_index":90,"to_index":380,"sum":86937,"residue":207},{"from_index":380,"to_index":670,"sum":84518,"residue":148},{"from_index":670,"to_index":960,"sum":86347,"residue":207},{"from_index":960,"to_index":1250,"sum":82453,"residue":443},{"from_index":1250,"to_index":1540,"sum":86052,"residue":502},{"from_index":1540,"to_index":90,"sum":81273,"residue":443}],"minimal_cycle":[207,148,207,443,502,443],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":207,"start_interval_clock_positions":[90,380],"circle_positions":590,"cycle_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":[91,381,671,961,1251,1541],"clock_positions":[91,381,671,961,1251,1541],"native_values":[449,36,449,331,154,331],"rotation_degrees":18.82758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,36,449,331,154,331],"beta":{"interval_sums":[86753,84747,86458,82387,86163,81502],"interval_residues":[23,377,318,377,23,82],"display_cycle":[23,377,318,377,23,82],"intervals":[{"from_index":91,"to_index":381,"sum":86753,"residue":23},{"from_index":381,"to_index":671,"sum":84747,"residue":377},{"from_index":671,"to_index":961,"sum":86458,"residue":318},{"from_index":961,"to_index":1251,"sum":82387,"residue":377},{"from_index":1251,"to_index":1541,"sum":86163,"residue":23},{"from_index":1541,"to_index":91,"sum":81502,"residue":82}],"minimal_cycle":[23,377,318,377,23,82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":23,"start_interval_clock_positions":[91,381],"circle_positions":590,"cycle_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":[92,382,672,962,1252,1542],"clock_positions":[92,382,672,962,1252,1542],"native_values":[419,301,124,301,419,6],"rotation_degrees":19.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[419,301,124,301,419,6],"beta":{"interval_sums":[86370,84895,86665,82240,86075,81945],"interval_residues":[230,525,525,230,525,525],"display_cycle":[230,525,525,230,525,525],"intervals":[{"from_index":92,"to_index":382,"sum":86370,"residue":230},{"from_index":382,"to_index":672,"sum":84895,"residue":525},{"from_index":672,"to_index":962,"sum":86665,"residue":525},{"from_index":962,"to_index":1252,"sum":82240,"residue":230},{"from_index":1252,"to_index":1542,"sum":86075,"residue":525},{"from_index":1542,"to_index":92,"sum":81945,"residue":525}],"minimal_cycle":[230,525,525],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[92,382],"circle_positions":590,"cycle_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":[93,383,673,963,1253,1543],"clock_positions":[93,383,673,963,1253,1543],"native_values":[278,337,573,42,573,337],"rotation_degrees":19.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,337,573,42,573,337],"beta":{"interval_sums":[86393,84682,86393,82617,85508,82027],"interval_residues":[253,312,253,17,548,17],"display_cycle":[253,312,253,17,548,17],"intervals":[{"from_index":93,"to_index":383,"sum":86393,"residue":253},{"from_index":383,"to_index":673,"sum":84682,"residue":312},{"from_index":673,"to_index":963,"sum":86393,"residue":253},{"from_index":963,"to_index":1253,"sum":82617,"residue":17},{"from_index":1253,"to_index":1543,"sum":85508,"residue":548},{"from_index":1543,"to_index":93,"sum":82027,"residue":17}],"minimal_cycle":[253,312,253,17,548,17],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":253,"start_interval_clock_positions":[93,383],"circle_positions":590,"cycle_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":[94,384,674,964,1254,1544],"clock_positions":[94,384,674,964,1254,1544],"native_values":[107,48,107,343,402,343],"rotation_degrees":19.448275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[107,48,107,343,402,343],"beta":{"interval_sums":[86623,85207,86328,82847,85443,81962],"interval_residues":[483,247,188,247,483,542],"display_cycle":[483,247,188,247,483,542],"intervals":[{"from_index":94,"to_index":384,"sum":86623,"residue":483},{"from_index":384,"to_index":674,"sum":85207,"residue":247},{"from_index":674,"to_index":964,"sum":86328,"residue":188},{"from_index":964,"to_index":1254,"sum":82847,"residue":247},{"from_index":1254,"to_index":1544,"sum":85443,"residue":483},{"from_index":1544,"to_index":94,"sum":81962,"residue":542}],"minimal_cycle":[483,247,188,247,483,542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":483,"start_interval_clock_positions":[94,384],"circle_positions":590,"cycle_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":[95,385,675,965,1255,1545],"clock_positions":[95,385,675,965,1255,1545],"native_values":[385,385,90,385,385,90],"rotation_degrees":19.655172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[385,385,90],"beta":{"interval_sums":[86286,84929,86581,82864,85401,81979],"interval_residues":[146,559,441,264,441,559],"display_cycle":[146,559,441,264,441,559],"intervals":[{"from_index":95,"to_index":385,"sum":86286,"residue":146},{"from_index":385,"to_index":675,"sum":84929,"residue":559},{"from_index":675,"to_index":965,"sum":86581,"residue":441},{"from_index":965,"to_index":1255,"sum":82864,"residue":264},{"from_index":1255,"to_index":1545,"sum":85401,"residue":441},{"from_index":1545,"to_index":95,"sum":81979,"residue":559}],"minimal_cycle":[146,559,441,264,441,559],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[95,385],"circle_positions":590,"cycle_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":[96,386,676,966,1256,1546],"clock_positions":[96,386,676,966,1256,1546],"native_values":[492,433,197,138,197,433],"rotation_degrees":19.862068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,433,197,138,197,433],"beta":{"interval_sums":[86179,84586,86769,83111,85294,81931],"interval_residues":[39,216,39,511,334,511],"display_cycle":[39,216,39,511,334,511],"intervals":[{"from_index":96,"to_index":386,"sum":86179,"residue":39},{"from_index":386,"to_index":676,"sum":84586,"residue":216},{"from_index":676,"to_index":966,"sum":86769,"residue":39},{"from_index":966,"to_index":1256,"sum":83111,"residue":511},{"from_index":1256,"to_index":1546,"sum":85294,"residue":334},{"from_index":1546,"to_index":96,"sum":81931,"residue":511}],"minimal_cycle":[39,216,39,511,334,511],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":39,"start_interval_clock_positions":[96,386],"circle_positions":590,"cycle_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":[97,387,677,967,1257,1547],"clock_positions":[97,387,677,967,1257,1547],"native_values":[287,228,287,523,582,523],"rotation_degrees":20.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,228,287,523,582,523],"beta":{"interval_sums":[86325,84555,86620,82785,85145,81900],"interval_residues":[185,185,480,185,185,480],"display_cycle":[185,185,480,185,185,480],"intervals":[{"from_index":97,"to_index":387,"sum":86325,"residue":185},{"from_index":387,"to_index":677,"sum":84555,"residue":185},{"from_index":677,"to_index":967,"sum":86620,"residue":480},{"from_index":967,"to_index":1257,"sum":82785,"residue":185},{"from_index":1257,"to_index":1547,"sum":85145,"residue":185},{"from_index":1547,"to_index":97,"sum":81900,"residue":480}],"minimal_cycle":[185,185,480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":185,"start_interval_clock_positions":[97,387],"circle_positions":590,"cycle_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":[98,388,678,968,1258,1548],"clock_positions":[98,388,678,968,1258,1548],"native_values":[189,71,484,71,189,366],"rotation_degrees":20.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[189,71,484,71,189,366],"beta":{"interval_sums":[86364,84771,86659,83296,85479,81821],"interval_residues":[224,401,519,106,519,401],"display_cycle":[224,401,519,106,519,401],"intervals":[{"from_index":98,"to_index":388,"sum":86364,"residue":224},{"from_index":388,"to_index":678,"sum":84771,"residue":401},{"from_index":678,"to_index":968,"sum":86659,"residue":519},{"from_index":968,"to_index":1258,"sum":83296,"residue":106},{"from_index":1258,"to_index":1548,"sum":85479,"residue":519},{"from_index":1548,"to_index":98,"sum":81821,"residue":401}],"minimal_cycle":[224,401,519,106,519,401],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[98,388],"circle_positions":590,"cycle_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":[99,389,679,969,1259,1549],"clock_positions":[99,389,679,969,1259,1549],"native_values":[476,299,181,4,181,299],"rotation_degrees":20.482758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[476,299,181,4,181,299],"beta":{"interval_sums":[85959,84956,86549,83481,85664,81711],"interval_residues":[409,586,409,291,114,291],"display_cycle":[409,586,409,291,114,291],"intervals":[{"from_index":99,"to_index":389,"sum":85959,"residue":409},{"from_index":389,"to_index":679,"sum":84956,"residue":586},{"from_index":679,"to_index":969,"sum":86549,"residue":409},{"from_index":969,"to_index":1259,"sum":83481,"residue":291},{"from_index":1259,"to_index":1549,"sum":85664,"residue":114},{"from_index":1549,"to_index":99,"sum":81711,"residue":291}],"minimal_cycle":[409,586,409,291,114,291],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":409,"start_interval_clock_positions":[99,389],"circle_positions":590,"cycle_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":[100,390,680,970,1260,1550],"clock_positions":[100,390,680,970,1260,1550],"native_values":[75,370,75,75,370,75],"rotation_degrees":20.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,370,75],"beta":{"interval_sums":[86183,84767,86478,83587,85593,82112],"interval_residues":[43,397,338,397,43,102],"display_cycle":[43,397,338,397,43,102],"intervals":[{"from_index":100,"to_index":390,"sum":86183,"residue":43},{"from_index":390,"to_index":680,"sum":84767,"residue":397},{"from_index":680,"to_index":970,"sum":86478,"residue":338},{"from_index":970,"to_index":1260,"sum":83587,"residue":397},{"from_index":1260,"to_index":1550,"sum":85593,"residue":43},{"from_index":1550,"to_index":100,"sum":82112,"residue":102}],"minimal_cycle":[43,397,338,397,43,102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":43,"start_interval_clock_positions":[100,390],"circle_positions":590,"cycle_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":[101,391,681,971,1261,1551],"clock_positions":[101,391,681,971,1261,1551],"native_values":[551,79,256,79,551,374],"rotation_degrees":20.896551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,79,256,79,551,374],"beta":{"interval_sums":[86002,84763,86297,83878,85117,81813],"interval_residues":[452,393,157,98,157,393],"display_cycle":[452,393,157,98,157,393],"intervals":[{"from_index":101,"to_index":391,"sum":86002,"residue":452},{"from_index":391,"to_index":681,"sum":84763,"residue":393},{"from_index":681,"to_index":971,"sum":86297,"residue":157},{"from_index":971,"to_index":1261,"sum":83878,"residue":98},{"from_index":1261,"to_index":1551,"sum":85117,"residue":157},{"from_index":1551,"to_index":101,"sum":81813,"residue":393}],"minimal_cycle":[452,393,157,98,157,393],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[101,391],"circle_positions":590,"cycle_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":[102,392,682,972,1262,1552],"clock_positions":[102,392,682,972,1262,1552],"native_values":[36,449,331,154,331,449],"rotation_degrees":21.103448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,449,331,154,331,449],"beta":{"interval_sums":[86045,84570,86045,84275,85160,81915],"interval_residues":[495,200,495,495,200,495],"display_cycle":[495,200,495,495,200,495],"intervals":[{"from_index":102,"to_index":392,"sum":86045,"residue":495},{"from_index":392,"to_index":682,"sum":84570,"residue":200},{"from_index":682,"to_index":972,"sum":86045,"residue":495},{"from_index":972,"to_index":1262,"sum":84275,"residue":495},{"from_index":1262,"to_index":1552,"sum":85160,"residue":200},{"from_index":1552,"to_index":102,"sum":81915,"residue":495}],"minimal_cycle":[495,200,495],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":495,"start_interval_clock_positions":[102,392],"circle_positions":590,"cycle_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":[103,393,683,973,1263,1553],"clock_positions":[103,393,683,973,1263,1553],"native_values":[587,528,587,233,292,233],"rotation_degrees":21.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,528,587,233,292,233],"beta":{"interval_sums":[85907,84373,85612,84373,85317,81718],"interval_residues":[357,3,62,3,357,298],"display_cycle":[357,3,62,3,357,298],"intervals":[{"from_index":103,"to_index":393,"sum":85907,"residue":357},{"from_index":393,"to_index":683,"sum":84373,"residue":3},{"from_index":683,"to_index":973,"sum":85612,"residue":62},{"from_index":973,"to_index":1263,"sum":84373,"residue":3},{"from_index":1263,"to_index":1553,"sum":85317,"residue":357},{"from_index":1553,"to_index":103,"sum":81718,"residue":298}],"minimal_cycle":[357,3,62,3,357,298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":357,"start_interval_clock_positions":[103,393],"circle_positions":590,"cycle_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":[104,394,684,974,1264,1554],"clock_positions":[104,394,684,974,1264,1554],"native_values":[33,387,328,387,33,92],"rotation_degrees":21.517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[33,387,328,387,33,92],"beta":{"interval_sums":[86402,84573,85517,84278,85517,82213],"interval_residues":[262,203,557,498,557,203],"display_cycle":[262,203,557,498,557,203],"intervals":[{"from_index":104,"to_index":394,"sum":86402,"residue":262},{"from_index":394,"to_index":684,"sum":84573,"residue":203},{"from_index":684,"to_index":974,"sum":85517,"residue":557},{"from_index":974,"to_index":1264,"sum":84278,"residue":498},{"from_index":1264,"to_index":1554,"sum":85517,"residue":557},{"from_index":1554,"to_index":104,"sum":82213,"residue":203}],"minimal_cycle":[262,203,557,498,557,203],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":262,"start_interval_clock_positions":[104,394],"circle_positions":590,"cycle_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":[105,395,685,975,1265,1555],"clock_positions":[105,395,685,975,1265,1555],"native_values":[30,325,325,30,325,325],"rotation_degrees":21.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[30,325,325],"beta":{"interval_sums":[86759,84576,85579,84281,85284,81921],"interval_residues":[29,206,29,501,324,501],"display_cycle":[29,206,29,501,324,501],"intervals":[{"from_index":105,"to_index":395,"sum":86759,"residue":29},{"from_index":395,"to_index":685,"sum":84576,"residue":206},{"from_index":685,"to_index":975,"sum":85579,"residue":29},{"from_index":975,"to_index":1265,"sum":84281,"residue":501},{"from_index":1265,"to_index":1555,"sum":85284,"residue":324},{"from_index":1555,"to_index":105,"sum":81921,"residue":501}],"minimal_cycle":[29,206,29,501,324,501],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":29,"start_interval_clock_positions":[105,395],"circle_positions":590,"cycle_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":[106,396,686,976,1266,1556],"clock_positions":[106,396,686,976,1266,1556],"native_values":[63,122,63,417,358,417],"rotation_degrees":21.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[63,122,63,417,358,417],"beta":{"interval_sums":[87021,84779,85546,84189,85251,81534],"interval_residues":[291,409,586,409,291,114],"display_cycle":[291,409,586,409,291,114],"intervals":[{"from_index":106,"to_index":396,"sum":87021,"residue":291},{"from_index":396,"to_index":686,"sum":84779,"residue":409},{"from_index":686,"to_index":976,"sum":85546,"residue":586},{"from_index":976,"to_index":1266,"sum":84189,"residue":409},{"from_index":1266,"to_index":1556,"sum":85251,"residue":291},{"from_index":1556,"to_index":106,"sum":81534,"residue":114}],"minimal_cycle":[291,409,586,409,291,114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":291,"start_interval_clock_positions":[106,396],"circle_positions":590,"cycle_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":[107,397,687,977,1267,1557],"clock_positions":[107,397,687,977,1267,1557],"native_values":[93,447,388,447,93,152],"rotation_degrees":22.137931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,447,388,447,93,152],"beta":{"interval_sums":[87050,84395,85575,84100,85575,81445],"interval_residues":[320,25,25,320,25,25],"display_cycle":[320,25,25,320,25,25],"intervals":[{"from_index":107,"to_index":397,"sum":87050,"residue":320},{"from_index":397,"to_index":687,"sum":84395,"residue":25},{"from_index":687,"to_index":977,"sum":85575,"residue":25},{"from_index":977,"to_index":1267,"sum":84100,"residue":320},{"from_index":1267,"to_index":1557,"sum":85575,"residue":25},{"from_index":1557,"to_index":107,"sum":81445,"residue":25}],"minimal_cycle":[320,25,25],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[107,397],"circle_positions":590,"cycle_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":[108,398,688,978,1268,1558],"clock_positions":[108,398,688,978,1268,1558],"native_values":[156,569,451,274,451,569],"rotation_degrees":22.344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[156,569,451,274,451,569],"beta":{"interval_sums":[87341,84214,85571,83919,85276,80969],"interval_residues":[21,434,21,139,316,139],"display_cycle":[21,434,21,139,316,139],"intervals":[{"from_index":108,"to_index":398,"sum":87341,"residue":21},{"from_index":398,"to_index":688,"sum":84214,"residue":434},{"from_index":688,"to_index":978,"sum":85571,"residue":21},{"from_index":978,"to_index":1268,"sum":83919,"residue":139},{"from_index":1268,"to_index":1558,"sum":85276,"residue":316},{"from_index":1558,"to_index":108,"sum":80969,"residue":139}],"minimal_cycle":[21,434,21,139,316,139],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":21,"start_interval_clock_positions":[108,398],"circle_positions":590,"cycle_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":[109,399,689,979,1269,1559],"clock_positions":[109,399,689,979,1269,1559],"native_values":[249,426,249,131,544,131],"rotation_degrees":22.551724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,426,249,131,544,131],"beta":{"interval_sums":[87661,84239,85596,84239,85301,80994],"interval_residues":[341,459,46,459,341,164],"display_cycle":[341,459,46,459,341,164],"intervals":[{"from_index":109,"to_index":399,"sum":87661,"residue":341},{"from_index":399,"to_index":689,"sum":84239,"residue":459},{"from_index":689,"to_index":979,"sum":85596,"residue":46},{"from_index":979,"to_index":1269,"sum":84239,"residue":459},{"from_index":1269,"to_index":1559,"sum":85301,"residue":341},{"from_index":1559,"to_index":109,"sum":80994,"residue":164}],"minimal_cycle":[341,459,46,459,341,164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":341,"start_interval_clock_positions":[109,399],"circle_positions":590,"cycle_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":[110,400,690,980,1270,1560],"clock_positions":[110,400,690,980,1270,1560],"native_values":[405,405,110,405,405,110],"rotation_degrees":22.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,405,110],"beta":{"interval_sums":[87682,84083,85617,84378,85027,81133],"interval_residues":[362,303,67,8,67,303],"display_cycle":[362,303,67,8,67,303],"intervals":[{"from_index":110,"to_index":400,"sum":87682,"residue":362},{"from_index":400,"to_index":690,"sum":84083,"residue":303},{"from_index":690,"to_index":980,"sum":85617,"residue":67},{"from_index":980,"to_index":1270,"sum":84378,"residue":8},{"from_index":1270,"to_index":1560,"sum":85027,"residue":67},{"from_index":1560,"to_index":110,"sum":81133,"residue":303}],"minimal_cycle":[362,303,67,8,67,303],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[110,400],"circle_positions":590,"cycle_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":[111,401,691,981,1271,1561],"clock_positions":[111,401,691,981,1271,1561],"native_values":[64,241,359,536,359,241],"rotation_degrees":22.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[64,241,359,536,359,241],"beta":{"interval_sums":[88023,83952,85663,84247,84778,81297],"interval_residues":[113,172,113,467,408,467],"display_cycle":[113,172,113,467,408,467],"intervals":[{"from_index":111,"to_index":401,"sum":88023,"residue":113},{"from_index":401,"to_index":691,"sum":83952,"residue":172},{"from_index":691,"to_index":981,"sum":85663,"residue":113},{"from_index":981,"to_index":1271,"sum":84247,"residue":467},{"from_index":1271,"to_index":1561,"sum":84778,"residue":408},{"from_index":1561,"to_index":111,"sum":81297,"residue":467}],"minimal_cycle":[113,172,113,467,408,467],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":113,"start_interval_clock_positions":[111,401],"circle_positions":590,"cycle_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":[112,402,692,982,1272,1562],"clock_positions":[112,402,692,982,1272,1562],"native_values":[469,56,469,351,174,351],"rotation_degrees":23.17241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,56,469,351,174,351],"beta":{"interval_sums":[87795,84255,85730,84255,84845,81010],"interval_residues":[475,475,180,475,475,180],"display_cycle":[475,475,180,475,475,180],"intervals":[{"from_index":112,"to_index":402,"sum":87795,"residue":475},{"from_index":402,"to_index":692,"sum":84255,"residue":475},{"from_index":692,"to_index":982,"sum":85730,"residue":180},{"from_index":982,"to_index":1272,"sum":84255,"residue":475},{"from_index":1272,"to_index":1562,"sum":84845,"residue":475},{"from_index":1562,"to_index":112,"sum":81010,"residue":180}],"minimal_cycle":[475,475,180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":475,"start_interval_clock_positions":[112,402],"circle_positions":590,"cycle_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":[113,403,693,983,1273,1563],"clock_positions":[113,403,693,983,1273,1563],"native_values":[533,297,238,297,533,2],"rotation_degrees":23.379310344827587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[533,297,238,297,533,2],"beta":{"interval_sums":[87318,84427,85843,84132,84663,81477],"interval_residues":[588,57,293,352,293,57],"display_cycle":[588,57,293,352,293,57],"intervals":[{"from_index":113,"to_index":403,"sum":87318,"residue":588},{"from_index":403,"to_index":693,"sum":84427,"residue":57},{"from_index":693,"to_index":983,"sum":85843,"residue":293},{"from_index":983,"to_index":1273,"sum":84132,"residue":352},{"from_index":1273,"to_index":1563,"sum":84663,"residue":293},{"from_index":1563,"to_index":113,"sum":81477,"residue":57}],"minimal_cycle":[588,57,293,352,293,57],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[113,403],"circle_positions":590,"cycle_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":[114,404,694,984,1274,1564],"clock_positions":[114,404,694,984,1274,1564],"native_values":[412,353,117,58,117,353],"rotation_degrees":23.586206896551722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[412,353,117,58,117,353],"beta":{"interval_sums":[87203,84312,86023,84607,84548,81657],"interval_residues":[473,532,473,237,178,237],"display_cycle":[473,532,473,237,178,237],"intervals":[{"from_index":114,"to_index":404,"sum":87203,"residue":473},{"from_index":404,"to_index":694,"sum":84312,"residue":532},{"from_index":694,"to_index":984,"sum":86023,"residue":473},{"from_index":984,"to_index":1274,"sum":84607,"residue":237},{"from_index":1274,"to_index":1564,"sum":84548,"residue":178},{"from_index":1564,"to_index":114,"sum":81657,"residue":237}],"minimal_cycle":[473,532,473,237,178,237],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":473,"start_interval_clock_positions":[114,404],"circle_positions":590,"cycle_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":[115,405,695,985,1275,1565],"clock_positions":[115,405,695,985,1275,1565],"native_values":[355,60,355,355,60,355],"rotation_degrees":23.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,60,355],"beta":{"interval_sums":[87201,84369,85726,84369,84841,81714],"interval_residues":[471,589,176,589,471,294],"display_cycle":[471,589,176,589,471,294],"intervals":[{"from_index":115,"to_index":405,"sum":87201,"residue":471},{"from_index":405,"to_index":695,"sum":84369,"residue":589},{"from_index":695,"to_index":985,"sum":85726,"residue":176},{"from_index":985,"to_index":1275,"sum":84369,"residue":589},{"from_index":1275,"to_index":1565,"sum":84841,"residue":471},{"from_index":1565,"to_index":115,"sum":81714,"residue":294}],"minimal_cycle":[471,589,176,589,471,294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":471,"start_interval_clock_positions":[115,405],"circle_positions":590,"cycle_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":[116,406,696,986,1276,1566],"clock_positions":[116,406,696,986,1276,1566],"native_values":[177,413,472,413,177,118],"rotation_degrees":24.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,413,472,413,177,118],"beta":{"interval_sums":[87084,84311,85609,84016,85019,81951],"interval_residues":[354,531,59,236,59,531],"display_cycle":[354,531,59,236,59,531],"intervals":[{"from_index":116,"to_index":406,"sum":87084,"residue":354},{"from_index":406,"to_index":696,"sum":84311,"residue":531},{"from_index":696,"to_index":986,"sum":85609,"residue":59},{"from_index":986,"to_index":1276,"sum":84016,"residue":236},{"from_index":1276,"to_index":1566,"sum":85019,"residue":59},{"from_index":1566,"to_index":116,"sum":81951,"residue":531}],"minimal_cycle":[354,531,59,236,59,531],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":354,"start_interval_clock_positions":[116,406],"circle_positions":590,"cycle_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":[117,407,697,987,1277,1567],"clock_positions":[117,407,697,987,1277,1567],"native_values":[532,473,237,178,237,473],"rotation_degrees":24.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[532,473,237,178,237,473],"beta":{"interval_sums":[86965,84310,85785,84015,84900,81655],"interval_residues":[235,530,235,235,530,235],"display_cycle":[235,530,235,235,530,235],"intervals":[{"from_index":117,"to_index":407,"sum":86965,"residue":235},{"from_index":407,"to_index":697,"sum":84310,"residue":530},{"from_index":697,"to_index":987,"sum":85785,"residue":235},{"from_index":987,"to_index":1277,"sum":84015,"residue":235},{"from_index":1277,"to_index":1567,"sum":84900,"residue":530},{"from_index":1567,"to_index":117,"sum":81655,"residue":235}],"minimal_cycle":[235,530,235],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":235,"start_interval_clock_positions":[117,407],"circle_positions":590,"cycle_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":[118,408,698,988,1278,1568],"clock_positions":[118,408,698,988,1278,1568],"native_values":[119,296,119,1,414,1],"rotation_degrees":24.413793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,296,119,1,414,1],"beta":{"interval_sums":[87319,84251,85844,84251,84959,82186],"interval_residues":[589,471,294,471,589,176],"display_cycle":[589,471,294,471,589,176],"intervals":[{"from_index":118,"to_index":408,"sum":87319,"residue":589},{"from_index":408,"to_index":698,"sum":84251,"residue":471},{"from_index":698,"to_index":988,"sum":85844,"residue":294},{"from_index":988,"to_index":1278,"sum":84251,"residue":471},{"from_index":1278,"to_index":1568,"sum":84959,"residue":589},{"from_index":1568,"to_index":118,"sum":82186,"residue":176}],"minimal_cycle":[589,471,294,471,589,176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":589,"start_interval_clock_positions":[118,408],"circle_positions":590,"cycle_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":[119,409,699,989,1279,1569],"clock_positions":[119,409,699,989,1279,1569],"native_values":[61,179,356,179,61,474],"rotation_degrees":24.620689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,179,356,179,61,474],"beta":{"interval_sums":[87554,84191,85489,84486,84899,81831],"interval_residues":[234,411,529,116,529,411],"display_cycle":[234,411,529,116,529,411],"intervals":[{"from_index":119,"to_index":409,"sum":87554,"residue":234},{"from_index":409,"to_index":699,"sum":84191,"residue":411},{"from_index":699,"to_index":989,"sum":85489,"residue":529},{"from_index":989,"to_index":1279,"sum":84486,"residue":116},{"from_index":1279,"to_index":1569,"sum":84899,"residue":529},{"from_index":1569,"to_index":119,"sum":81831,"residue":411}],"minimal_cycle":[234,411,529,116,529,411],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[119,409],"circle_positions":590,"cycle_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":[120,410,700,990,1280,1570],"clock_positions":[120,410,700,990,1280,1570],"native_values":[180,475,475,180,475,475],"rotation_degrees":24.82758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,475,475],"beta":{"interval_sums":[87553,84072,85193,84367,84898,81417],"interval_residues":[233,292,233,587,528,587],"display_cycle":[233,292,233,587,528,587],"intervals":[{"from_index":120,"to_index":410,"sum":87553,"residue":233},{"from_index":410,"to_index":700,"sum":84072,"residue":292},{"from_index":700,"to_index":990,"sum":85193,"residue":233},{"from_index":990,"to_index":1280,"sum":84367,"residue":587},{"from_index":1280,"to_index":1570,"sum":84898,"residue":528},{"from_index":1570,"to_index":120,"sum":81417,"residue":587}],"minimal_cycle":[233,292,233,587,528,587],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":233,"start_interval_clock_positions":[120,410],"circle_positions":590,"cycle_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":[121,411,701,991,1281,1571],"clock_positions":[121,411,701,991,1281,1571],"native_values":[241,64,241,359,536,359],"rotation_degrees":25.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,64,241,359,536,359],"beta":{"interval_sums":[87787,84483,85132,84483,84837,81238],"interval_residues":[467,113,172,113,467,408],"display_cycle":[467,113,172,113,467,408],"intervals":[{"from_index":121,"to_index":411,"sum":87787,"residue":467},{"from_index":411,"to_index":701,"sum":84483,"residue":113},{"from_index":701,"to_index":991,"sum":85132,"residue":172},{"from_index":991,"to_index":1281,"sum":84483,"residue":113},{"from_index":1281,"to_index":1571,"sum":84837,"residue":467},{"from_index":1571,"to_index":121,"sum":81238,"residue":408}],"minimal_cycle":[467,113,172,113,467,408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":467,"start_interval_clock_positions":[121,411],"circle_positions":590,"cycle_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":[122,412,702,992,1282,1572],"clock_positions":[122,412,702,992,1282,1572],"native_values":[421,539,126,539,421,244],"rotation_degrees":25.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[421,539,126,539,421,244],"beta":{"interval_sums":[87430,84185,85365,84480,84775,81235],"interval_residues":[110,405,405,110,405,405],"display_cycle":[110,405,405,110,405,405],"intervals":[{"from_index":122,"to_index":412,"sum":87430,"residue":110},{"from_index":412,"to_index":702,"sum":84185,"residue":405},{"from_index":702,"to_index":992,"sum":85365,"residue":405},{"from_index":992,"to_index":1282,"sum":84480,"residue":110},{"from_index":1282,"to_index":1572,"sum":84775,"residue":405},{"from_index":1572,"to_index":122,"sum":81235,"residue":405}],"minimal_cycle":[110,405,405],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":110,"start_interval_clock_positions":[122,412],"circle_positions":590,"cycle_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":[123,413,703,993,1283,1573],"clock_positions":[123,413,703,993,1283,1573],"native_values":[72,13,367,308,367,13],"rotation_degrees":25.448275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[72,13,367,308,367,13],"beta":{"interval_sums":[87897,84298,85537,84593,84652,81643],"interval_residues":[577,518,577,223,282,223],"display_cycle":[577,518,577,223,282,223],"intervals":[{"from_index":123,"to_index":413,"sum":87897,"residue":577},{"from_index":413,"to_index":703,"sum":84298,"residue":518},{"from_index":703,"to_index":993,"sum":85537,"residue":577},{"from_index":993,"to_index":1283,"sum":84593,"residue":223},{"from_index":1283,"to_index":1573,"sum":84652,"residue":282},{"from_index":1573,"to_index":123,"sum":81643,"residue":223}],"minimal_cycle":[577,518,577,223,282,223],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":577,"start_interval_clock_positions":[123,413],"circle_positions":590,"cycle_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":[124,414,704,994,1284,1574],"clock_positions":[124,414,704,994,1284,1574],"native_values":[493,552,493,257,198,257],"rotation_degrees":25.655172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[493,552,493,257,198,257],"beta":{"interval_sums":[87417,84113,85352,84703,84467,81458],"interval_residues":[97,333,392,333,97,38],"display_cycle":[97,333,392,333,97,38],"intervals":[{"from_index":124,"to_index":414,"sum":87417,"residue":97},{"from_index":414,"to_index":704,"sum":84113,"residue":333},{"from_index":704,"to_index":994,"sum":85352,"residue":392},{"from_index":994,"to_index":1284,"sum":84703,"residue":333},{"from_index":1284,"to_index":1574,"sum":84467,"residue":97},{"from_index":1574,"to_index":124,"sum":81458,"residue":38}],"minimal_cycle":[97,333,392,333,97,38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":97,"start_interval_clock_positions":[124,414],"circle_positions":590,"cycle_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":[125,415,705,995,1285,1575],"clock_positions":[125,415,705,995,1285,1575],"native_values":[565,565,270,565,565,270],"rotation_degrees":25.862068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,565,270],"beta":{"interval_sums":[87404,84041,85339,84336,84159,81681],"interval_residues":[84,261,379,556,379,261],"display_cycle":[84,261,379,556,379,261],"intervals":[{"from_index":125,"to_index":415,"sum":87404,"residue":84},{"from_index":415,"to_index":705,"sum":84041,"residue":261},{"from_index":705,"to_index":995,"sum":85339,"residue":379},{"from_index":995,"to_index":1285,"sum":84336,"residue":556},{"from_index":1285,"to_index":1575,"sum":84159,"residue":379},{"from_index":1575,"to_index":125,"sum":81681,"residue":261}],"minimal_cycle":[84,261,379,556,379,261],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[125,415],"circle_positions":590,"cycle_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":[126,416,706,996,1286,1576],"clock_positions":[126,416,706,996,1286,1576],"native_values":[468,527,173,232,173,527],"rotation_degrees":26.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[468,527,173,232,173,527],"beta":{"interval_sums":[87501,83784,85731,84669,84256,81719],"interval_residues":[181,4,181,299,476,299],"display_cycle":[181,4,181,299,476,299],"intervals":[{"from_index":126,"to_index":416,"sum":87501,"residue":181},{"from_index":416,"to_index":706,"sum":83784,"residue":4},{"from_index":706,"to_index":996,"sum":85731,"residue":181},{"from_index":996,"to_index":1286,"sum":84669,"residue":299},{"from_index":1286,"to_index":1576,"sum":84256,"residue":476},{"from_index":1576,"to_index":126,"sum":81719,"residue":299}],"minimal_cycle":[181,4,181,299,476,299],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":181,"start_interval_clock_positions":[126,416],"circle_positions":590,"cycle_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":[127,417,707,997,1287,1577],"clock_positions":[127,417,707,997,1287,1577],"native_values":[443,502,443,207,148,207],"rotation_degrees":26.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,502,443,207,148,207],"beta":{"interval_sums":[87585,83455,85520,84635,84635,81980],"interval_residues":[265,265,560,265,265,560],"display_cycle":[265,265,560,265,265,560],"intervals":[{"from_index":127,"to_index":417,"sum":87585,"residue":265},{"from_index":417,"to_index":707,"sum":83455,"residue":265},{"from_index":707,"to_index":997,"sum":85520,"residue":560},{"from_index":997,"to_index":1287,"sum":84635,"residue":265},{"from_index":1287,"to_index":1577,"sum":84635,"residue":265},{"from_index":1577,"to_index":127,"sum":81980,"residue":560}],"minimal_cycle":[265,265,560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[127,417],"circle_positions":590,"cycle_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":[128,418,708,998,1288,1578],"clock_positions":[128,418,708,998,1288,1578],"native_values":[321,439,26,439,321,144],"rotation_degrees":26.482758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[321,439,26,439,321,144],"beta":{"interval_sums":[87766,83459,85701,84344,84521,82279],"interval_residues":[446,269,151,564,151,269],"display_cycle":[446,269,151,564,151,269],"intervals":[{"from_index":128,"to_index":418,"sum":87766,"residue":446},{"from_index":418,"to_index":708,"sum":83459,"residue":269},{"from_index":708,"to_index":998,"sum":85701,"residue":151},{"from_index":998,"to_index":1288,"sum":84344,"residue":564},{"from_index":1288,"to_index":1578,"sum":84521,"residue":151},{"from_index":1578,"to_index":128,"sum":82279,"residue":269}],"minimal_cycle":[446,269,151,564,151,269],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[128,418],"circle_positions":590,"cycle_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":[129,419,709,999,1289,1579],"clock_positions":[129,419,709,999,1289,1579],"native_values":[174,351,469,56,469,351],"rotation_degrees":26.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[174,351,469,56,469,351],"beta":{"interval_sums":[88031,83134,85671,84609,84196,82249],"interval_residues":[121,534,121,239,416,239],"display_cycle":[121,534,121,239,416,239],"intervals":[{"from_index":129,"to_index":419,"sum":88031,"residue":121},{"from_index":419,"to_index":709,"sum":83134,"residue":534},{"from_index":709,"to_index":999,"sum":85671,"residue":121},{"from_index":999,"to_index":1289,"sum":84609,"residue":239},{"from_index":1289,"to_index":1579,"sum":84196,"residue":416},{"from_index":1579,"to_index":129,"sum":82249,"residue":239}],"minimal_cycle":[121,534,121,239,416,239],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":121,"start_interval_clock_positions":[129,419],"circle_positions":590,"cycle_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":[130,420,710,1000,1290,1580],"clock_positions":[130,420,710,1000,1290,1580],"native_values":[495,200,495,495,200,495],"rotation_degrees":26.896551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[495,200,495],"beta":{"interval_sums":[87887,83403,85232,84583,84347,81928],"interval_residues":[567,213,272,213,567,508],"display_cycle":[567,213,272,213,567,508],"intervals":[{"from_index":130,"to_index":420,"sum":87887,"residue":567},{"from_index":420,"to_index":710,"sum":83403,"residue":213},{"from_index":710,"to_index":1000,"sum":85232,"residue":272},{"from_index":1000,"to_index":1290,"sum":84583,"residue":213},{"from_index":1290,"to_index":1580,"sum":84347,"residue":567},{"from_index":1580,"to_index":130,"sum":81928,"residue":508}],"minimal_cycle":[567,213,272,213,567,508],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":567,"start_interval_clock_positions":[130,420],"circle_positions":590,"cycle_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":[131,421,711,1001,1291,1581],"clock_positions":[131,421,711,1001,1291,1581],"native_values":[79,551,374,551,79,256],"rotation_degrees":27.103448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,551,374,551,79,256],"beta":{"interval_sums":[88008,83347,85353,84232,84763,82167],"interval_residues":[98,157,393,452,393,157],"display_cycle":[98,157,393,452,393,157],"intervals":[{"from_index":131,"to_index":421,"sum":88008,"residue":98},{"from_index":421,"to_index":711,"sum":83347,"residue":157},{"from_index":711,"to_index":1001,"sum":85353,"residue":393},{"from_index":1001,"to_index":1291,"sum":84232,"residue":452},{"from_index":1291,"to_index":1581,"sum":84763,"residue":393},{"from_index":1581,"to_index":131,"sum":82167,"residue":157}],"minimal_cycle":[98,157,393,452,393,157],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":98,"start_interval_clock_positions":[131,421],"circle_positions":590,"cycle_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":[132,422,712,1002,1292,1582],"clock_positions":[132,422,712,1002,1292,1582],"native_values":[574,161,279,456,279,161],"rotation_degrees":27.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[574,161,279,456,279,161],"beta":{"interval_sums":[87985,83560,85625,83855,84740,82085],"interval_residues":[75,370,75,75,370,75],"display_cycle":[75,370,75,75,370,75],"intervals":[{"from_index":132,"to_index":422,"sum":87985,"residue":75},{"from_index":422,"to_index":712,"sum":83560,"residue":370},{"from_index":712,"to_index":1002,"sum":85625,"residue":75},{"from_index":1002,"to_index":1292,"sum":83855,"residue":75},{"from_index":1292,"to_index":1582,"sum":84740,"residue":370},{"from_index":1582,"to_index":132,"sum":82085,"residue":75}],"minimal_cycle":[75,370,75],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":75,"start_interval_clock_positions":[132,422],"circle_positions":590,"cycle_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":[133,423,713,1003,1293,1583],"clock_positions":[133,423,713,1003,1293,1583],"native_values":[63,122,63,417,358,417],"rotation_degrees":27.517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[63,122,63,417,358,417],"beta":{"interval_sums":[88083,83717,86018,83717,84543,82242],"interval_residues":[173,527,468,527,173,232],"display_cycle":[173,527,468,527,173,232],"intervals":[{"from_index":133,"to_index":423,"sum":88083,"residue":173},{"from_index":423,"to_index":713,"sum":83717,"residue":527},{"from_index":713,"to_index":1003,"sum":86018,"residue":468},{"from_index":1003,"to_index":1293,"sum":83717,"residue":527},{"from_index":1293,"to_index":1583,"sum":84543,"residue":173},{"from_index":1583,"to_index":133,"sum":82242,"residue":232}],"minimal_cycle":[173,527,468,527,173,232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":173,"start_interval_clock_positions":[133,423],"circle_positions":590,"cycle_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":[134,424,714,1004,1294,1584],"clock_positions":[134,424,714,1004,1294,1584],"native_values":[47,283,342,283,47,578],"rotation_degrees":27.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,283,342,283,47,578],"beta":{"interval_sums":[88158,83497,86093,83792,84913,81727],"interval_residues":[248,307,543,12,543,307],"display_cycle":[248,307,543,12,543,307],"intervals":[{"from_index":134,"to_index":424,"sum":88158,"residue":248},{"from_index":424,"to_index":714,"sum":83497,"residue":307},{"from_index":714,"to_index":1004,"sum":86093,"residue":543},{"from_index":1004,"to_index":1294,"sum":83792,"residue":12},{"from_index":1294,"to_index":1584,"sum":84913,"residue":543},{"from_index":1584,"to_index":134,"sum":81727,"residue":307}],"minimal_cycle":[248,307,543,12,543,307],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[134,424],"circle_positions":590,"cycle_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":[135,425,715,1005,1295,1585],"clock_positions":[135,425,715,1005,1295,1585],"native_values":[110,405,405,110,405,405],"rotation_degrees":27.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[110,405,405],"beta":{"interval_sums":[88331,83434,85971,83729,85086,81369],"interval_residues":[421,244,421,539,126,539],"display_cycle":[421,244,421,539,126,539],"intervals":[{"from_index":135,"to_index":425,"sum":88331,"residue":421},{"from_index":425,"to_index":715,"sum":83434,"residue":244},{"from_index":715,"to_index":1005,"sum":85971,"residue":421},{"from_index":1005,"to_index":1295,"sum":83729,"residue":539},{"from_index":1295,"to_index":1585,"sum":85086,"residue":126},{"from_index":1585,"to_index":135,"sum":81369,"residue":539}],"minimal_cycle":[421,244,421,539,126,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":421,"start_interval_clock_positions":[135,425],"circle_positions":590,"cycle_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":[136,426,716,1006,1296,1586],"clock_positions":[136,426,716,1006,1296,1586],"native_values":[157,98,157,393,452,393],"rotation_degrees":28.137931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,98,157,393,452,393],"beta":{"interval_sums":[88579,83741,85924,83741,85039,81086],"interval_residues":[79,551,374,551,79,256],"display_cycle":[79,551,374,551,79,256],"intervals":[{"from_index":136,"to_index":426,"sum":88579,"residue":79},{"from_index":426,"to_index":716,"sum":83741,"residue":551},{"from_index":716,"to_index":1006,"sum":85924,"residue":374},{"from_index":1006,"to_index":1296,"sum":83741,"residue":551},{"from_index":1296,"to_index":1586,"sum":85039,"residue":79},{"from_index":1586,"to_index":136,"sum":81086,"residue":256}],"minimal_cycle":[79,551,374,551,79,256],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":79,"start_interval_clock_positions":[136,426],"circle_positions":590,"cycle_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":[137,427,717,1007,1297,1587],"clock_positions":[137,427,717,1007,1297,1587],"native_values":[267,503,562,503,267,208],"rotation_degrees":28.344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[267,503,562,503,267,208],"beta":{"interval_sums":[88410,83395,85755,83690,85165,81035],"interval_residues":[500,205,205,500,205,205],"display_cycle":[500,205,205,500,205,205],"intervals":[{"from_index":137,"to_index":427,"sum":88410,"residue":500},{"from_index":427,"to_index":717,"sum":83395,"residue":205},{"from_index":717,"to_index":1007,"sum":85755,"residue":205},{"from_index":1007,"to_index":1297,"sum":83690,"residue":500},{"from_index":1297,"to_index":1587,"sum":85165,"residue":205},{"from_index":1587,"to_index":137,"sum":81035,"residue":205}],"minimal_cycle":[500,205,205],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[137,427],"circle_positions":590,"cycle_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":[138,428,718,1008,1298,1588],"clock_positions":[138,428,718,1008,1298,1588],"native_values":[424,11,129,306,129,11],"rotation_degrees":28.551724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[424,11,129,306,129,11],"beta":{"interval_sums":[88489,83946,86129,83651,85244,81291],"interval_residues":[579,166,579,461,284,461],"display_cycle":[579,166,579,461,284,461],"intervals":[{"from_index":138,"to_index":428,"sum":88489,"residue":579},{"from_index":428,"to_index":718,"sum":83946,"residue":166},{"from_index":718,"to_index":1008,"sum":86129,"residue":579},{"from_index":1008,"to_index":1298,"sum":83651,"residue":461},{"from_index":1298,"to_index":1588,"sum":85244,"residue":284},{"from_index":1588,"to_index":138,"sum":81291,"residue":461}],"minimal_cycle":[579,166,579,461,284,461],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":579,"start_interval_clock_positions":[138,428],"circle_positions":590,"cycle_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":[139,429,719,1009,1299,1589],"clock_positions":[139,429,719,1009,1299,1589],"native_values":[101,514,101,219,396,219],"rotation_degrees":28.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,514,101,219,396,219],"beta":{"interval_sums":[88399,83561,86334,83561,84859,81496],"interval_residues":[489,371,194,371,489,76],"display_cycle":[489,371,194,371,489,76],"intervals":[{"from_index":139,"to_index":429,"sum":88399,"residue":489},{"from_index":429,"to_index":719,"sum":83561,"residue":371},{"from_index":719,"to_index":1009,"sum":86334,"residue":194},{"from_index":1009,"to_index":1299,"sum":83561,"residue":371},{"from_index":1299,"to_index":1589,"sum":84859,"residue":489},{"from_index":1589,"to_index":139,"sum":81496,"residue":76}],"minimal_cycle":[489,371,194,371,489,76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":489,"start_interval_clock_positions":[139,429],"circle_positions":590,"cycle_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":[140,430,720,1010,1300,1590],"clock_positions":[140,430,720,1010,1300,1590],"native_values":[525,525,230,525,525,230],"rotation_degrees":28.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[525,525,230],"beta":{"interval_sums":[88388,83137,86323,83432,84553,81367],"interval_residues":[478,537,183,242,183,537],"display_cycle":[478,537,183,242,183,537],"intervals":[{"from_index":140,"to_index":430,"sum":88388,"residue":478},{"from_index":430,"to_index":720,"sum":83137,"residue":537},{"from_index":720,"to_index":1010,"sum":86323,"residue":183},{"from_index":1010,"to_index":1300,"sum":83432,"residue":242},{"from_index":1300,"to_index":1590,"sum":84553,"residue":183},{"from_index":1590,"to_index":140,"sum":81367,"residue":537}],"minimal_cycle":[478,537,183,242,183,537],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":478,"start_interval_clock_positions":[140,430],"circle_positions":590,"cycle_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":[141,431,721,1011,1301,1591],"clock_positions":[141,431,721,1011,1301,1591],"native_values":[36,449,331,154,331,449],"rotation_degrees":29.17241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,449,331,154,331,449],"beta":{"interval_sums":[88877,82918,86517,83803,84452,81443],"interval_residues":[377,318,377,23,82,23],"display_cycle":[377,318,377,23,82,23],"intervals":[{"from_index":141,"to_index":431,"sum":88877,"residue":377},{"from_index":431,"to_index":721,"sum":82918,"residue":318},{"from_index":721,"to_index":1011,"sum":86517,"residue":377},{"from_index":1011,"to_index":1301,"sum":83803,"residue":23},{"from_index":1301,"to_index":1591,"sum":84452,"residue":82},{"from_index":1591,"to_index":141,"sum":81443,"residue":23}],"minimal_cycle":[377,318,377,23,82,23],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[141,431],"circle_positions":590,"cycle_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":[142,432,722,1012,1302,1592],"clock_positions":[142,432,722,1012,1302,1592],"native_values":[561,384,561,89,266,89],"rotation_degrees":29.379310344827587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,384,561,89,266,89],"beta":{"interval_sums":[88765,82865,86110,84045,84635,81390],"interval_residues":[265,265,560,265,265,560],"display_cycle":[265,265,560,265,265,560],"intervals":[{"from_index":142,"to_index":432,"sum":88765,"residue":265},{"from_index":432,"to_index":722,"sum":82865,"residue":265},{"from_index":722,"to_index":1012,"sum":86110,"residue":560},{"from_index":1012,"to_index":1302,"sum":84045,"residue":265},{"from_index":1302,"to_index":1592,"sum":84635,"residue":265},{"from_index":1592,"to_index":142,"sum":81390,"residue":560}],"minimal_cycle":[265,265,560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[142,432],"circle_positions":590,"cycle_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":[143,433,723,1013,1303,1593],"clock_positions":[143,433,723,1013,1303,1593],"native_values":[7,243,302,243,7,538],"rotation_degrees":29.586206896551722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[7,243,302,243,7,538],"beta":{"interval_sums":[89142,83183,85897,84068,84717,81413],"interval_residues":[52,583,347,288,347,583],"display_cycle":[52,583,347,288,347,583],"intervals":[{"from_index":143,"to_index":433,"sum":89142,"residue":52},{"from_index":433,"to_index":723,"sum":83183,"residue":583},{"from_index":723,"to_index":1013,"sum":85897,"residue":347},{"from_index":1013,"to_index":1303,"sum":84068,"residue":288},{"from_index":1303,"to_index":1593,"sum":84717,"residue":347},{"from_index":1593,"to_index":143,"sum":81413,"residue":583}],"minimal_cycle":[52,583,347,288,347,583],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[143,433],"circle_positions":590,"cycle_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":[144,434,724,1014,1304,1594],"clock_positions":[144,434,724,1014,1304,1594],"native_values":[568,37,273,332,273,37],"rotation_degrees":29.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[568,37,273,332,273,37],"beta":{"interval_sums":[88817,83448,85867,83743,84982,81383],"interval_residues":[317,258,317,553,22,553],"display_cycle":[317,258,317,553,22,553],"intervals":[{"from_index":144,"to_index":434,"sum":88817,"residue":317},{"from_index":434,"to_index":724,"sum":83448,"residue":258},{"from_index":724,"to_index":1014,"sum":85867,"residue":317},{"from_index":1014,"to_index":1304,"sum":83743,"residue":553},{"from_index":1304,"to_index":1594,"sum":84982,"residue":22},{"from_index":1594,"to_index":144,"sum":81383,"residue":553}],"minimal_cycle":[317,258,317,553,22,553],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":317,"start_interval_clock_positions":[144,434],"circle_positions":590,"cycle_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":[145,435,725,1015,1305,1595],"clock_positions":[145,435,725,1015,1305,1595],"native_values":[575,280,575,575,280,575],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[575,280,575],"beta":{"interval_sums":[88279,83441,85624,83441,84739,81376],"interval_residues":[369,251,74,251,369,546],"display_cycle":[369,251,74,251,369,546],"intervals":[{"from_index":145,"to_index":435,"sum":88279,"residue":369},{"from_index":435,"to_index":725,"sum":83441,"residue":251},{"from_index":725,"to_index":1015,"sum":85624,"residue":74},{"from_index":1015,"to_index":1305,"sum":83441,"residue":251},{"from_index":1305,"to_index":1595,"sum":84739,"residue":369},{"from_index":1595,"to_index":145,"sum":81376,"residue":546}],"minimal_cycle":[369,251,74,251,369,546],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":369,"start_interval_clock_positions":[145,435],"circle_positions":590,"cycle_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":[146,436,726,1016,1306,1596],"clock_positions":[146,436,726,1016,1306,1596],"native_values":[553,317,258,317,553,22],"rotation_degrees":30.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[553,317,258,317,553,22],"beta":{"interval_sums":[88006,83699,85941,83404,84761,81929],"interval_residues":[96,509,391,214,391,509],"display_cycle":[96,509,391,214,391,509],"intervals":[{"from_index":146,"to_index":436,"sum":88006,"residue":96},{"from_index":436,"to_index":726,"sum":83699,"residue":509},{"from_index":726,"to_index":1016,"sum":85941,"residue":391},{"from_index":1016,"to_index":1306,"sum":83404,"residue":214},{"from_index":1306,"to_index":1596,"sum":84761,"residue":391},{"from_index":1596,"to_index":146,"sum":81929,"residue":509}],"minimal_cycle":[96,509,391,214,391,509],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[146,436],"circle_positions":590,"cycle_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":[147,437,727,1017,1307,1597],"clock_positions":[147,437,727,1017,1307,1597],"native_values":[538,7,243,302,243,7],"rotation_degrees":30.413793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[538,7,243,302,243,7],"beta":{"interval_sums":[87785,83950,86015,83655,84540,82475],"interval_residues":[465,170,465,465,170,465],"display_cycle":[465,170,465,465,170,465],"intervals":[{"from_index":147,"to_index":437,"sum":87785,"residue":465},{"from_index":437,"to_index":727,"sum":83950,"residue":170},{"from_index":727,"to_index":1017,"sum":86015,"residue":465},{"from_index":1017,"to_index":1307,"sum":83655,"residue":465},{"from_index":1307,"to_index":1597,"sum":84540,"residue":170},{"from_index":1597,"to_index":147,"sum":82475,"residue":465}],"minimal_cycle":[465,170,465],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":465,"start_interval_clock_positions":[147,437],"circle_positions":590,"cycle_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":[148,438,728,1018,1308,1598],"clock_positions":[148,438,728,1018,1308,1598],"native_values":[501,324,501,29,206,29],"rotation_degrees":30.620689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[501,324,501,29,206,29],"beta":{"interval_sums":[87291,83869,85816,83869,84341,82984],"interval_residues":[561,89,266,89,561,384],"display_cycle":[561,89,266,89,561,384],"intervals":[{"from_index":148,"to_index":438,"sum":87291,"residue":561},{"from_index":438,"to_index":728,"sum":83869,"residue":89},{"from_index":728,"to_index":1018,"sum":85816,"residue":266},{"from_index":1018,"to_index":1308,"sum":83869,"residue":89},{"from_index":1308,"to_index":1598,"sum":84341,"residue":561},{"from_index":1598,"to_index":148,"sum":82984,"residue":384}],"minimal_cycle":[561,89,266,89,561,384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":561,"start_interval_clock_positions":[148,438],"circle_positions":590,"cycle_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":[149,439,729,1019,1309,1599],"clock_positions":[149,439,729,1019,1309,1599],"native_values":[449,331,154,331,449,36],"rotation_degrees":30.82758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,331,154,331,449,36],"beta":{"interval_sums":[87166,84039,85691,83744,83921,83449],"interval_residues":[436,259,141,554,141,259],"display_cycle":[436,259,141,554,141,259],"intervals":[{"from_index":149,"to_index":439,"sum":87166,"residue":436},{"from_index":439,"to_index":729,"sum":84039,"residue":259},{"from_index":729,"to_index":1019,"sum":85691,"residue":141},{"from_index":1019,"to_index":1309,"sum":83744,"residue":554},{"from_index":1309,"to_index":1599,"sum":83921,"residue":141},{"from_index":1599,"to_index":149,"sum":83449,"residue":259}],"minimal_cycle":[436,259,141,554,141,259],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[149,439],"circle_positions":590,"cycle_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":[150,440,730,1020,1310,1600],"clock_positions":[150,440,730,1020,1310,1600],"native_values":[360,65,65,360,65,65],"rotation_degrees":31.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[360,65,65],"beta":{"interval_sums":[87137,84128,85957,83833,83892,83833],"interval_residues":[407,348,407,53,112,53],"display_cycle":[407,348,407,53,112,53],"intervals":[{"from_index":150,"to_index":440,"sum":87137,"residue":407},{"from_index":440,"to_index":730,"sum":84128,"residue":348},{"from_index":730,"to_index":1020,"sum":85957,"residue":407},{"from_index":1020,"to_index":1310,"sum":83833,"residue":53},{"from_index":1310,"to_index":1600,"sum":83892,"residue":112},{"from_index":1600,"to_index":150,"sum":83833,"residue":53}],"minimal_cycle":[407,348,407,53,112,53],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":407,"start_interval_clock_positions":[150,440],"circle_positions":590,"cycle_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":[151,441,731,1021,1311,1601],"clock_positions":[151,441,731,1021,1311,1601],"native_values":[219,396,219,101,514,101],"rotation_degrees":31.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,396,219,101,514,101],"beta":{"interval_sums":[86983,83797,86098,83797,83443,84092],"interval_residues":[253,17,548,17,253,312],"display_cycle":[253,17,548,17,253,312],"intervals":[{"from_index":151,"to_index":441,"sum":86983,"residue":253},{"from_index":441,"to_index":731,"sum":83797,"residue":17},{"from_index":731,"to_index":1021,"sum":86098,"residue":548},{"from_index":1021,"to_index":1311,"sum":83797,"residue":17},{"from_index":1311,"to_index":1601,"sum":83443,"residue":253},{"from_index":1601,"to_index":151,"sum":84092,"residue":312}],"minimal_cycle":[253,17,548,17,253,312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":253,"start_interval_clock_positions":[151,441],"circle_positions":590,"cycle_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":[152,442,732,1022,1312,1602],"clock_positions":[152,442,732,1022,1312,1602],"native_values":[579,461,284,461,579,166],"rotation_degrees":31.448275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[579,461,284,461,579,166],"beta":{"interval_sums":[86800,83555,85915,83850,82965,84145],"interval_residues":[70,365,365,70,365,365],"display_cycle":[70,365,365,70,365,365],"intervals":[{"from_index":152,"to_index":442,"sum":86800,"residue":70},{"from_index":442,"to_index":732,"sum":83555,"residue":365},{"from_index":732,"to_index":1022,"sum":85915,"residue":365},{"from_index":1022,"to_index":1312,"sum":83850,"residue":70},{"from_index":1312,"to_index":1602,"sum":82965,"residue":365},{"from_index":1602,"to_index":152,"sum":84145,"residue":365}],"minimal_cycle":[70,365,365],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[152,442],"circle_positions":590,"cycle_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":[153,443,733,1023,1313,1603],"clock_positions":[153,443,733,1023,1313,1603],"native_values":[208,267,503,562,503,267],"rotation_degrees":31.655172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[208,267,503,562,503,267],"beta":{"interval_sums":[87053,83572,85873,83867,82628,84457],"interval_residues":[323,382,323,87,28,87],"display_cycle":[323,382,323,87,28,87],"intervals":[{"from_index":153,"to_index":443,"sum":87053,"residue":323},{"from_index":443,"to_index":733,"sum":83572,"residue":382},{"from_index":733,"to_index":1023,"sum":85873,"residue":323},{"from_index":1023,"to_index":1313,"sum":83867,"residue":87},{"from_index":1313,"to_index":1603,"sum":82628,"residue":28},{"from_index":1603,"to_index":153,"sum":84457,"residue":87}],"minimal_cycle":[323,382,323,87,28,87],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":323,"start_interval_clock_positions":[153,443],"circle_positions":590,"cycle_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":[154,444,734,1024,1314,1604],"clock_positions":[154,444,734,1024,1314,1604],"native_values":[197,138,197,433,492,433],"rotation_degrees":31.862068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,138,197,433,492,433],"beta":{"interval_sums":[87123,83937,86238,83937,82403,84232],"interval_residues":[393,157,98,157,393,452],"display_cycle":[393,157,98,157,393,452],"intervals":[{"from_index":154,"to_index":444,"sum":87123,"residue":393},{"from_index":444,"to_index":734,"sum":83937,"residue":157},{"from_index":734,"to_index":1024,"sum":86238,"residue":98},{"from_index":1024,"to_index":1314,"sum":83937,"residue":157},{"from_index":1314,"to_index":1604,"sum":82403,"residue":393},{"from_index":1604,"to_index":154,"sum":84232,"residue":452}],"minimal_cycle":[393,157,98,157,393,452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":393,"start_interval_clock_positions":[154,444],"circle_positions":590,"cycle_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":[155,445,735,1025,1315,1605],"clock_positions":[155,445,735,1025,1315,1605],"native_values":[405,405,110,405,405,110],"rotation_degrees":32.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,405,110],"beta":{"interval_sums":[86856,83729,86561,84024,82431,84319],"interval_residues":[126,539,421,244,421,539],"display_cycle":[126,539,421,244,421,539],"intervals":[{"from_index":155,"to_index":445,"sum":86856,"residue":126},{"from_index":445,"to_index":735,"sum":83729,"residue":539},{"from_index":735,"to_index":1025,"sum":86561,"residue":421},{"from_index":1025,"to_index":1315,"sum":84024,"residue":244},{"from_index":1315,"to_index":1605,"sum":82431,"residue":421},{"from_index":1605,"to_index":155,"sum":84319,"residue":539}],"minimal_cycle":[126,539,421,244,421,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[155,445],"circle_positions":590,"cycle_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":[156,446,736,1026,1316,1606],"clock_positions":[156,446,736,1026,1316,1606],"native_values":[12,543,307,248,307,543],"rotation_degrees":32.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[12,543,307,248,307,543],"beta":{"interval_sums":[87249,83296,86659,84181,82234,84181],"interval_residues":[519,106,519,401,224,401],"display_cycle":[519,106,519,401,224,401],"intervals":[{"from_index":156,"to_index":446,"sum":87249,"residue":519},{"from_index":446,"to_index":736,"sum":83296,"residue":106},{"from_index":736,"to_index":1026,"sum":86659,"residue":519},{"from_index":1026,"to_index":1316,"sum":84181,"residue":401},{"from_index":1316,"to_index":1606,"sum":82234,"residue":224},{"from_index":1606,"to_index":156,"sum":84181,"residue":401}],"minimal_cycle":[519,106,519,401,224,401],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":519,"start_interval_clock_positions":[156,446],"circle_positions":590,"cycle_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":[157,447,737,1027,1317,1607],"clock_positions":[157,447,737,1027,1317,1607],"native_values":[417,358,417,63,122,63],"rotation_degrees":32.48275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,358,417,63,122,63],"beta":{"interval_sums":[87375,83245,86490,84425,82655,84130],"interval_residues":[55,55,350,55,55,350],"display_cycle":[55,55,350,55,55,350],"intervals":[{"from_index":157,"to_index":447,"sum":87375,"residue":55},{"from_index":447,"to_index":737,"sum":83245,"residue":55},{"from_index":737,"to_index":1027,"sum":86490,"residue":350},{"from_index":1027,"to_index":1317,"sum":84425,"residue":55},{"from_index":1317,"to_index":1607,"sum":82655,"residue":55},{"from_index":1607,"to_index":157,"sum":84130,"residue":350}],"minimal_cycle":[55,55,350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":55,"start_interval_clock_positions":[157,447],"circle_positions":590,"cycle_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":[158,448,738,1028,1318,1608],"clock_positions":[158,448,738,1028,1318,1608],"native_values":[429,311,134,311,429,16],"rotation_degrees":32.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,311,134,311,429,16],"beta":{"interval_sums":[87304,83351,86419,84236,82289,84531],"interval_residues":[574,161,279,456,279,161],"display_cycle":[574,161,279,456,279,161],"intervals":[{"from_index":158,"to_index":448,"sum":87304,"residue":574},{"from_index":448,"to_index":738,"sum":83351,"residue":161},{"from_index":738,"to_index":1028,"sum":86419,"residue":279},{"from_index":1028,"to_index":1318,"sum":84236,"residue":456},{"from_index":1318,"to_index":1608,"sum":82289,"residue":279},{"from_index":1608,"to_index":158,"sum":84531,"residue":161}],"minimal_cycle":[574,161,279,456,279,161],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[158,448],"circle_positions":590,"cycle_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":[159,449,739,1029,1319,1609],"clock_positions":[159,449,739,1029,1319,1609],"native_values":[256,79,551,374,551,79],"rotation_degrees":32.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[256,79,551,374,551,79],"beta":{"interval_sums":[87359,83406,86179,84291,81754,84881],"interval_residues":[39,216,39,511,334,511],"display_cycle":[39,216,39,511,334,511],"intervals":[{"from_index":159,"to_index":449,"sum":87359,"residue":39},{"from_index":449,"to_index":739,"sum":83406,"residue":216},{"from_index":739,"to_index":1029,"sum":86179,"residue":39},{"from_index":1029,"to_index":1319,"sum":84291,"residue":511},{"from_index":1319,"to_index":1609,"sum":81754,"residue":334},{"from_index":1609,"to_index":159,"sum":84881,"residue":511}],"minimal_cycle":[39,216,39,511,334,511],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":39,"start_interval_clock_positions":[159,449],"circle_positions":590,"cycle_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":[160,450,740,1030,1320,1610],"clock_positions":[160,450,740,1030,1320,1610],"native_values":[95,390,95,95,390,95],"rotation_degrees":33.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,390,95],"beta":{"interval_sums":[87343,83567,86458,84747,81443,85042],"interval_residues":[23,377,318,377,23,82],"display_cycle":[23,377,318,377,23,82],"intervals":[{"from_index":160,"to_index":450,"sum":87343,"residue":23},{"from_index":450,"to_index":740,"sum":83567,"residue":377},{"from_index":740,"to_index":1030,"sum":86458,"residue":318},{"from_index":1030,"to_index":1320,"sum":84747,"residue":377},{"from_index":1320,"to_index":1610,"sum":81443,"residue":23},{"from_index":1610,"to_index":160,"sum":85042,"residue":82}],"minimal_cycle":[23,377,318,377,23,82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":23,"start_interval_clock_positions":[160,450],"circle_positions":590,"cycle_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":[161,451,741,1031,1321,1611],"clock_positions":[161,451,741,1031,1321,1611],"native_values":[351,469,56,469,351,174],"rotation_degrees":33.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,469,56,469,351,174],"beta":{"interval_sums":[87382,83193,86497,84668,81187,84963],"interval_residues":[62,3,357,298,357,3],"display_cycle":[62,3,357,298,357,3],"intervals":[{"from_index":161,"to_index":451,"sum":87382,"residue":62},{"from_index":451,"to_index":741,"sum":83193,"residue":3},{"from_index":741,"to_index":1031,"sum":86497,"residue":357},{"from_index":1031,"to_index":1321,"sum":84668,"residue":298},{"from_index":1321,"to_index":1611,"sum":81187,"residue":357},{"from_index":1611,"to_index":161,"sum":84963,"residue":3}],"minimal_cycle":[62,3,357,298,357,3],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[161,451],"circle_positions":590,"cycle_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":[162,452,742,1032,1322,1612],"clock_positions":[162,452,742,1032,1322,1612],"native_values":[446,269,151,564,151,269],"rotation_degrees":33.51724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[446,269,151,564,151,269],"beta":{"interval_sums":[87405,82980,86815,84455,81210,85045],"interval_residues":[85,380,85,85,380,85],"display_cycle":[85,380,85,85,380,85],"intervals":[{"from_index":162,"to_index":452,"sum":87405,"residue":85},{"from_index":452,"to_index":742,"sum":82980,"residue":380},{"from_index":742,"to_index":1032,"sum":86815,"residue":85},{"from_index":1032,"to_index":1322,"sum":84455,"residue":85},{"from_index":1322,"to_index":1612,"sum":81210,"residue":380},{"from_index":1612,"to_index":162,"sum":85045,"residue":85}],"minimal_cycle":[85,380,85],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":85,"start_interval_clock_positions":[162,452],"circle_positions":590,"cycle_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":[163,453,743,1033,1323,1613],"clock_positions":[163,453,743,1033,1323,1613],"native_values":[207,148,207,443,502,443],"rotation_degrees":33.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[207,148,207,443,502,443],"beta":{"interval_sums":[87467,82983,87172,84163,80977,85048],"interval_residues":[147,383,442,383,147,88],"display_cycle":[147,383,442,383,147,88],"intervals":[{"from_index":163,"to_index":453,"sum":87467,"residue":147},{"from_index":453,"to_index":743,"sum":82983,"residue":383},{"from_index":743,"to_index":1033,"sum":87172,"residue":442},{"from_index":1033,"to_index":1323,"sum":84163,"residue":383},{"from_index":1323,"to_index":1613,"sum":80977,"residue":147},{"from_index":1613,"to_index":163,"sum":85048,"residue":88}],"minimal_cycle":[147,383,442,383,147,88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":147,"start_interval_clock_positions":[163,453],"circle_positions":590,"cycle_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":[164,454,744,1034,1324,1614],"clock_positions":[164,454,744,1034,1324,1614],"native_values":[63,417,358,417,63,122],"rotation_degrees":33.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[63,417,358,417,63,122],"beta":{"interval_sums":[87552,82773,87257,84248,81357,85133],"interval_residues":[232,173,527,468,527,173],"display_cycle":[232,173,527,468,527,173],"intervals":[{"from_index":164,"to_index":454,"sum":87552,"residue":232},{"from_index":454,"to_index":744,"sum":82773,"residue":173},{"from_index":744,"to_index":1034,"sum":87257,"residue":527},{"from_index":1034,"to_index":1324,"sum":84248,"residue":468},{"from_index":1324,"to_index":1614,"sum":81357,"residue":527},{"from_index":1614,"to_index":164,"sum":85133,"residue":173}],"minimal_cycle":[232,173,527,468,527,173],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[164,454],"circle_positions":590,"cycle_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":[165,455,745,1035,1325,1615],"clock_positions":[165,455,745,1035,1325,1615],"native_values":[270,565,565,270,565,565],"rotation_degrees":34.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[270,565,565],"beta":{"interval_sums":[87699,82566,87109,84041,80914,84631],"interval_residues":[379,556,379,261,84,261],"display_cycle":[379,556,379,261,84,261],"intervals":[{"from_index":165,"to_index":455,"sum":87699,"residue":379},{"from_index":455,"to_index":745,"sum":82566,"residue":556},{"from_index":745,"to_index":1035,"sum":87109,"residue":379},{"from_index":1035,"to_index":1325,"sum":84041,"residue":261},{"from_index":1325,"to_index":1615,"sum":80914,"residue":84},{"from_index":1615,"to_index":165,"sum":84631,"residue":261}],"minimal_cycle":[379,556,379,261,84,261],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":379,"start_interval_clock_positions":[165,455],"circle_positions":590,"cycle_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":[166,456,746,1036,1326,1616],"clock_positions":[166,456,746,1036,1326,1616],"native_values":[333,392,333,97,38,97],"rotation_degrees":34.3448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,392,333,97,38,97],"beta":{"interval_sums":[87931,82739,87046,84509,81441,84804],"interval_residues":[21,139,316,139,21,434],"display_cycle":[21,139,316,139,21,434],"intervals":[{"from_index":166,"to_index":456,"sum":87931,"residue":21},{"from_index":456,"to_index":746,"sum":82739,"residue":139},{"from_index":746,"to_index":1036,"sum":87046,"residue":316},{"from_index":1036,"to_index":1326,"sum":84509,"residue":139},{"from_index":1326,"to_index":1616,"sum":81441,"residue":21},{"from_index":1616,"to_index":166,"sum":84804,"residue":434}],"minimal_cycle":[21,139,316,139,21,434],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":21,"start_interval_clock_positions":[166,456],"circle_positions":590,"cycle_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":[167,457,747,1037,1327,1617],"clock_positions":[167,457,747,1037,1327,1617],"native_values":[13,367,308,367,13,72],"rotation_degrees":34.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,367,308,367,13,72],"beta":{"interval_sums":[88310,82705,86835,84180,81525,85065],"interval_residues":[400,105,105,400,105,105],"display_cycle":[400,105,105,400,105,105],"intervals":[{"from_index":167,"to_index":457,"sum":88310,"residue":400},{"from_index":457,"to_index":747,"sum":82705,"residue":105},{"from_index":747,"to_index":1037,"sum":86835,"residue":105},{"from_index":1037,"to_index":1327,"sum":84180,"residue":400},{"from_index":1327,"to_index":1617,"sum":81525,"residue":105},{"from_index":1617,"to_index":167,"sum":85065,"residue":105}],"minimal_cycle":[400,105,105],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":400,"start_interval_clock_positions":[167,457],"circle_positions":590,"cycle_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":[168,458,748,1038,1328,1618],"clock_positions":[168,458,748,1038,1328,1618],"native_values":[346,169,51,464,51,169],"rotation_degrees":34.758620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[346,169,51,464,51,169],"beta":{"interval_sums":[88331,82844,87151,83729,81546,84909],"interval_residues":[421,244,421,539,126,539],"display_cycle":[421,244,421,539,126,539],"intervals":[{"from_index":168,"to_index":458,"sum":88331,"residue":421},{"from_index":458,"to_index":748,"sum":82844,"residue":244},{"from_index":748,"to_index":1038,"sum":87151,"residue":421},{"from_index":1038,"to_index":1328,"sum":83729,"residue":539},{"from_index":1328,"to_index":1618,"sum":81546,"residue":126},{"from_index":1618,"to_index":168,"sum":84909,"residue":539}],"minimal_cycle":[421,244,421,539,126,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":421,"start_interval_clock_positions":[168,458],"circle_positions":590,"cycle_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":[169,459,749,1039,1329,1619],"clock_positions":[169,459,749,1039,1329,1619],"native_values":[359,536,359,241,64,241],"rotation_degrees":34.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,536,359,241,64,241],"beta":{"interval_sums":[88141,82359,87256,83539,81651,85014],"interval_residues":[231,349,526,349,231,54],"display_cycle":[231,349,526,349,231,54],"intervals":[{"from_index":169,"to_index":459,"sum":88141,"residue":231},{"from_index":459,"to_index":749,"sum":82359,"residue":349},{"from_index":749,"to_index":1039,"sum":87256,"residue":526},{"from_index":1039,"to_index":1329,"sum":83539,"residue":349},{"from_index":1329,"to_index":1619,"sum":81651,"residue":231},{"from_index":1619,"to_index":169,"sum":85014,"residue":54}],"minimal_cycle":[231,349,526,349,231,54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":231,"start_interval_clock_positions":[169,459],"circle_positions":590,"cycle_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":[170,460,750,1040,1330,1620],"clock_positions":[170,460,750,1040,1330,1620],"native_values":[115,115,410,115,115,410],"rotation_degrees":35.172413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,115,410],"beta":{"interval_sums":[88562,82603,87087,83488,81777,84963],"interval_residues":[62,3,357,298,357,3],"display_cycle":[62,3,357,298,357,3],"intervals":[{"from_index":170,"to_index":460,"sum":88562,"residue":62},{"from_index":460,"to_index":750,"sum":82603,"residue":3},{"from_index":750,"to_index":1040,"sum":87087,"residue":357},{"from_index":1040,"to_index":1330,"sum":83488,"residue":298},{"from_index":1330,"to_index":1620,"sum":81777,"residue":357},{"from_index":1620,"to_index":170,"sum":84963,"residue":3}],"minimal_cycle":[62,3,357,298,357,3],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[170,460],"circle_positions":590,"cycle_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":[171,461,751,1041,1331,1621],"clock_positions":[171,461,751,1041,1331,1621],"native_values":[474,61,179,356,179,61],"rotation_degrees":35.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[474,61,179,356,179,61],"beta":{"interval_sums":[88203,82952,87023,83247,82008,85017],"interval_residues":[293,352,293,57,588,57],"display_cycle":[293,352,293,57,588,57],"intervals":[{"from_index":171,"to_index":461,"sum":88203,"residue":293},{"from_index":461,"to_index":751,"sum":82952,"residue":352},{"from_index":751,"to_index":1041,"sum":87023,"residue":293},{"from_index":1041,"to_index":1331,"sum":83247,"residue":57},{"from_index":1331,"to_index":1621,"sum":82008,"residue":588},{"from_index":1621,"to_index":171,"sum":85017,"residue":57}],"minimal_cycle":[293,352,293,57,588,57],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":293,"start_interval_clock_positions":[171,461],"circle_positions":590,"cycle_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":[172,462,752,1042,1332,1622],"clock_positions":[172,462,752,1042,1332,1622],"native_values":[589,176,589,471,294,471],"rotation_degrees":35.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[589,176,589,471,294,471],"beta":{"interval_sums":[87675,82955,86790,82955,81775,85020],"interval_residues":[355,355,60,355,355,60],"display_cycle":[355,355,60,355,355,60],"intervals":[{"from_index":172,"to_index":462,"sum":87675,"residue":355},{"from_index":462,"to_index":752,"sum":82955,"residue":355},{"from_index":752,"to_index":1042,"sum":86790,"residue":60},{"from_index":1042,"to_index":1332,"sum":82955,"residue":355},{"from_index":1332,"to_index":1622,"sum":81775,"residue":355},{"from_index":1622,"to_index":172,"sum":85020,"residue":60}],"minimal_cycle":[355,355,60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":355,"start_interval_clock_positions":[172,462],"circle_positions":590,"cycle_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":[173,463,753,1043,1333,1623],"clock_positions":[173,463,753,1043,1333,1623],"native_values":[473,237,178,237,473,532],"rotation_degrees":35.793103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,237,178,237,473,532],"beta":{"interval_sums":[87378,83307,87083,83012,81773,85077],"interval_residues":[58,117,353,412,353,117],"display_cycle":[58,117,353,412,353,117],"intervals":[{"from_index":173,"to_index":463,"sum":87378,"residue":58},{"from_index":463,"to_index":753,"sum":83307,"residue":117},{"from_index":753,"to_index":1043,"sum":87083,"residue":353},{"from_index":1043,"to_index":1333,"sum":83012,"residue":412},{"from_index":1333,"to_index":1623,"sum":81773,"residue":353},{"from_index":1623,"to_index":173,"sum":85077,"residue":117}],"minimal_cycle":[58,117,353,412,353,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[173,463],"circle_positions":590,"cycle_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":[174,464,754,1044,1334,1624],"clock_positions":[174,464,754,1044,1334,1624],"native_values":[472,413,177,118,177,413],"rotation_degrees":36.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[472,413,177,118,177,413],"beta":{"interval_sums":[87143,83072,87143,83367,82128,85137],"interval_residues":[413,472,413,177,118,177],"display_cycle":[413,472,413,177,118,177],"intervals":[{"from_index":174,"to_index":464,"sum":87143,"residue":413},{"from_index":464,"to_index":754,"sum":83072,"residue":472},{"from_index":754,"to_index":1044,"sum":87143,"residue":413},{"from_index":1044,"to_index":1334,"sum":83367,"residue":177},{"from_index":1334,"to_index":1624,"sum":82128,"residue":118},{"from_index":1624,"to_index":174,"sum":85137,"residue":177}],"minimal_cycle":[413,472,413,177,118,177],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":413,"start_interval_clock_positions":[174,464],"circle_positions":590,"cycle_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":[175,465,755,1045,1335,1625],"clock_positions":[175,465,755,1045,1335,1625],"native_values":[355,60,355,355,60,355],"rotation_degrees":36.206896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,60,355],"beta":{"interval_sums":[87201,83189,86906,83189,82481,85254],"interval_residues":[471,589,176,589,471,294],"display_cycle":[471,589,176,589,471,294],"intervals":[{"from_index":175,"to_index":465,"sum":87201,"residue":471},{"from_index":465,"to_index":755,"sum":83189,"residue":589},{"from_index":755,"to_index":1045,"sum":86906,"residue":176},{"from_index":1045,"to_index":1335,"sum":83189,"residue":589},{"from_index":1335,"to_index":1625,"sum":82481,"residue":471},{"from_index":1625,"to_index":175,"sum":85254,"residue":294}],"minimal_cycle":[471,589,176,589,471,294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":471,"start_interval_clock_positions":[175,465],"circle_positions":590,"cycle_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":[176,466,756,1046,1336,1626],"clock_positions":[176,466,756,1046,1336,1626],"native_values":[237,473,532,473,237,178],"rotation_degrees":36.41379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,473,532,473,237,178],"beta":{"interval_sums":[87024,83071,86729,82776,82599,85431],"interval_residues":[294,471,589,176,589,471],"display_cycle":[294,471,589,176,589,471],"intervals":[{"from_index":176,"to_index":466,"sum":87024,"residue":294},{"from_index":466,"to_index":756,"sum":83071,"residue":471},{"from_index":756,"to_index":1046,"sum":86729,"residue":589},{"from_index":1046,"to_index":1336,"sum":82776,"residue":176},{"from_index":1336,"to_index":1626,"sum":82599,"residue":589},{"from_index":1626,"to_index":176,"sum":85431,"residue":471}],"minimal_cycle":[294,471,589,176,589,471],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[176,466],"circle_positions":590,"cycle_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":[177,467,757,1047,1337,1627],"clock_positions":[177,467,757,1047,1337,1627],"native_values":[2,533,297,238,297,533],"rotation_degrees":36.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,533,297,238,297,533],"beta":{"interval_sums":[87495,83070,86905,82775,82480,85135],"interval_residues":[175,470,175,175,470,175],"display_cycle":[175,470,175,175,470,175],"intervals":[{"from_index":177,"to_index":467,"sum":87495,"residue":175},{"from_index":467,"to_index":757,"sum":83070,"residue":470},{"from_index":757,"to_index":1047,"sum":86905,"residue":175},{"from_index":1047,"to_index":1337,"sum":82775,"residue":175},{"from_index":1337,"to_index":1627,"sum":82480,"residue":470},{"from_index":1627,"to_index":177,"sum":85135,"residue":175}],"minimal_cycle":[175,470,175],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":175,"start_interval_clock_positions":[177,467],"circle_positions":590,"cycle_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":[178,468,758,1048,1338,1628],"clock_positions":[178,468,758,1048,1338,1628],"native_values":[239,416,239,121,534,121],"rotation_degrees":36.827586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,416,239,121,534,121],"beta":{"interval_sums":[87789,82951,86904,82951,82479,85016],"interval_residues":[469,351,174,351,469,56],"display_cycle":[469,351,174,351,469,56],"intervals":[{"from_index":178,"to_index":468,"sum":87789,"residue":469},{"from_index":468,"to_index":758,"sum":82951,"residue":351},{"from_index":758,"to_index":1048,"sum":86904,"residue":174},{"from_index":1048,"to_index":1338,"sum":82951,"residue":351},{"from_index":1338,"to_index":1628,"sum":82479,"residue":469},{"from_index":1628,"to_index":178,"sum":85016,"residue":56}],"minimal_cycle":[469,351,174,351,469,56],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":469,"start_interval_clock_positions":[178,468],"circle_positions":590,"cycle_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":[179,469,759,1049,1339,1629],"clock_positions":[179,469,759,1049,1339,1629],"native_values":[241,359,536,359,241,64],"rotation_degrees":37.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,359,536,359,241,64],"beta":{"interval_sums":[87964,82831,86489,83126,82359,85191],"interval_residues":[54,231,349,526,349,231],"display_cycle":[54,231,349,526,349,231],"intervals":[{"from_index":179,"to_index":469,"sum":87964,"residue":54},{"from_index":469,"to_index":759,"sum":82831,"residue":231},{"from_index":759,"to_index":1049,"sum":86489,"residue":349},{"from_index":1049,"to_index":1339,"sum":83126,"residue":526},{"from_index":1339,"to_index":1629,"sum":82359,"residue":349},{"from_index":1629,"to_index":179,"sum":85191,"residue":231}],"minimal_cycle":[54,231,349,526,349,231],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[179,469],"circle_positions":590,"cycle_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":[180,470,760,1050,1340,1630],"clock_positions":[180,470,760,1050,1340,1630],"native_values":[480,185,185,480,185,185],"rotation_degrees":37.241379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[480,185,185],"beta":{"interval_sums":[87843,83182,86663,82887,82238,85247],"interval_residues":[523,582,523,287,228,287],"display_cycle":[523,582,523,287,228,287],"intervals":[{"from_index":180,"to_index":470,"sum":87843,"residue":523},{"from_index":470,"to_index":760,"sum":83182,"residue":582},{"from_index":760,"to_index":1050,"sum":86663,"residue":523},{"from_index":1050,"to_index":1340,"sum":82887,"residue":287},{"from_index":1340,"to_index":1630,"sum":82238,"residue":228},{"from_index":1630,"to_index":180,"sum":85247,"residue":287}],"minimal_cycle":[523,582,523,287,228,287],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":523,"start_interval_clock_positions":[180,470],"circle_positions":590,"cycle_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":[181,471,761,1051,1341,1631],"clock_positions":[181,471,761,1051,1341,1631],"native_values":[131,544,131,249,426,249],"rotation_degrees":37.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,544,131,249,426,249],"beta":{"interval_sums":[87897,82823,87012,82823,81997,85478],"interval_residues":[577,223,282,223,577,518],"display_cycle":[577,223,282,223,577,518],"intervals":[{"from_index":181,"to_index":471,"sum":87897,"residue":577},{"from_index":471,"to_index":761,"sum":82823,"residue":223},{"from_index":761,"to_index":1051,"sum":87012,"residue":282},{"from_index":1051,"to_index":1341,"sum":82823,"residue":223},{"from_index":1341,"to_index":1631,"sum":81997,"residue":577},{"from_index":1631,"to_index":181,"sum":85478,"residue":518}],"minimal_cycle":[577,223,282,223,577,518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":577,"start_interval_clock_positions":[181,471],"circle_positions":590,"cycle_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":[182,472,762,1052,1342,1632],"clock_positions":[182,472,762,1052,1342,1632],"native_values":[21,139,316,139,21,434],"rotation_degrees":37.6551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,139,316,139,21,434],"beta":{"interval_sums":[88420,82815,86945,83110,82225,85175],"interval_residues":[510,215,215,510,215,215],"display_cycle":[510,215,215,510,215,215],"intervals":[{"from_index":182,"to_index":472,"sum":88420,"residue":510},{"from_index":472,"to_index":762,"sum":82815,"residue":215},{"from_index":762,"to_index":1052,"sum":86945,"residue":215},{"from_index":1052,"to_index":1342,"sum":83110,"residue":510},{"from_index":1342,"to_index":1632,"sum":82225,"residue":215},{"from_index":1632,"to_index":182,"sum":85175,"residue":215}],"minimal_cycle":[510,215,215],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[182,472],"circle_positions":590,"cycle_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":[183,473,763,1053,1343,1633],"clock_positions":[183,473,763,1053,1343,1633],"native_values":[152,93,447,388,447,93],"rotation_degrees":37.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[152,93,447,388,447,93],"beta":{"interval_sums":[88407,83038,86637,82743,82212,85103],"interval_residues":[497,438,497,143,202,143],"display_cycle":[497,438,497,143,202,143],"intervals":[{"from_index":183,"to_index":473,"sum":88407,"residue":497},{"from_index":473,"to_index":763,"sum":83038,"residue":438},{"from_index":763,"to_index":1053,"sum":86637,"residue":497},{"from_index":1053,"to_index":1343,"sum":82743,"residue":143},{"from_index":1343,"to_index":1633,"sum":82212,"residue":202},{"from_index":1633,"to_index":183,"sum":85103,"residue":143}],"minimal_cycle":[497,438,497,143,202,143],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":497,"start_interval_clock_positions":[183,473],"circle_positions":590,"cycle_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":[184,474,764,1054,1344,1634],"clock_positions":[184,474,764,1054,1344,1634],"native_values":[173,232,173,527,468,527],"rotation_degrees":38.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,232,173,527,468,527],"beta":{"interval_sums":[88327,83253,86852,82663,81837,84728],"interval_residues":[417,63,122,63,417,358],"display_cycle":[417,63,122,63,417,358],"intervals":[{"from_index":184,"to_index":474,"sum":88327,"residue":417},{"from_index":474,"to_index":764,"sum":83253,"residue":63},{"from_index":764,"to_index":1054,"sum":86852,"residue":122},{"from_index":1054,"to_index":1344,"sum":82663,"residue":63},{"from_index":1344,"to_index":1634,"sum":81837,"residue":417},{"from_index":1634,"to_index":184,"sum":84728,"residue":358}],"minimal_cycle":[417,63,122,63,417,358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":417,"start_interval_clock_positions":[184,474],"circle_positions":590,"cycle_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":[185,475,765,1055,1345,1635],"clock_positions":[185,475,765,1055,1345,1635],"native_values":[325,325,30,325,325,30],"rotation_degrees":38.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,325,30],"beta":{"interval_sums":[88234,83101,87349,82806,82039,84871],"interval_residues":[324,501,29,206,29,501],"display_cycle":[324,501,29,206,29,501],"intervals":[{"from_index":185,"to_index":475,"sum":88234,"residue":324},{"from_index":475,"to_index":765,"sum":83101,"residue":501},{"from_index":765,"to_index":1055,"sum":87349,"residue":29},{"from_index":1055,"to_index":1345,"sum":82806,"residue":206},{"from_index":1345,"to_index":1635,"sum":82039,"residue":29},{"from_index":1635,"to_index":185,"sum":84871,"residue":501}],"minimal_cycle":[324,501,29,206,29,501],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[185,475],"circle_positions":590,"cycle_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":[186,476,766,1056,1346,1636],"clock_positions":[186,476,766,1056,1346,1636],"native_values":[498,557,203,262,203,557],"rotation_degrees":38.48275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[498,557,203,262,203,557],"beta":{"interval_sums":[88061,82574,87471,82869,81866,84639],"interval_residues":[151,564,151,269,446,269],"display_cycle":[151,564,151,269,446,269],"intervals":[{"from_index":186,"to_index":476,"sum":88061,"residue":151},{"from_index":476,"to_index":766,"sum":82574,"residue":564},{"from_index":766,"to_index":1056,"sum":87471,"residue":151},{"from_index":1056,"to_index":1346,"sum":82869,"residue":269},{"from_index":1346,"to_index":1636,"sum":81866,"residue":446},{"from_index":1636,"to_index":186,"sum":84639,"residue":269}],"minimal_cycle":[151,564,151,269,446,269],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":151,"start_interval_clock_positions":[186,476],"circle_positions":590,"cycle_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":[187,477,767,1057,1347,1637],"clock_positions":[187,477,767,1057,1347,1637],"native_values":[233,292,233,587,528,587],"rotation_degrees":38.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,292,233,587,528,587],"beta":{"interval_sums":[88385,82485,87500,82485,81895,84550],"interval_residues":[475,475,180,475,475,180],"display_cycle":[475,475,180,475,475,180],"intervals":[{"from_index":187,"to_index":477,"sum":88385,"residue":475},{"from_index":477,"to_index":767,"sum":82485,"residue":475},{"from_index":767,"to_index":1057,"sum":87500,"residue":180},{"from_index":1057,"to_index":1347,"sum":82485,"residue":475},{"from_index":1347,"to_index":1637,"sum":81895,"residue":475},{"from_index":1637,"to_index":187,"sum":84550,"residue":180}],"minimal_cycle":[475,475,180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":475,"start_interval_clock_positions":[187,477],"circle_positions":590,"cycle_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":[188,478,768,1058,1348,1638],"clock_positions":[188,478,768,1058,1348,1638],"native_values":[141,259,436,259,141,554],"rotation_degrees":38.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,259,436,259,141,554],"beta":{"interval_sums":[88536,82459,87651,82754,82341,84229],"interval_residues":[36,449,331,154,331,449],"display_cycle":[36,449,331,154,331,449],"intervals":[{"from_index":188,"to_index":478,"sum":88536,"residue":36},{"from_index":478,"to_index":768,"sum":82459,"residue":449},{"from_index":768,"to_index":1058,"sum":87651,"residue":331},{"from_index":1058,"to_index":1348,"sum":82754,"residue":154},{"from_index":1348,"to_index":1638,"sum":82341,"residue":331},{"from_index":1638,"to_index":188,"sum":84229,"residue":449}],"minimal_cycle":[36,449,331,154,331,449],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[188,478],"circle_positions":590,"cycle_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":[189,479,769,1059,1349,1639],"clock_positions":[189,479,769,1059,1349,1639],"native_values":[374,551,79,256,79,551],"rotation_degrees":39.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[374,551,79,256,79,551],"beta":{"interval_sums":[88421,82344,87831,82639,82816,83819],"interval_residues":[511,334,511,39,216,39],"display_cycle":[511,334,511,39,216,39],"intervals":[{"from_index":189,"to_index":479,"sum":88421,"residue":511},{"from_index":479,"to_index":769,"sum":82344,"residue":334},{"from_index":769,"to_index":1059,"sum":87831,"residue":511},{"from_index":1059,"to_index":1349,"sum":82639,"residue":39},{"from_index":1349,"to_index":1639,"sum":82816,"residue":216},{"from_index":1639,"to_index":189,"sum":83819,"residue":39}],"minimal_cycle":[511,334,511,39,216,39],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":511,"start_interval_clock_positions":[189,479],"circle_positions":590,"cycle_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":[190,480,770,1060,1350,1640],"clock_positions":[190,480,770,1060,1350,1640],"native_values":[515,220,515,515,220,515],"rotation_degrees":39.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[515,220,515],"beta":{"interval_sums":[88457,82203,87572,82203,83147,83678],"interval_residues":[547,193,252,193,547,488],"display_cycle":[547,193,252,193,547,488],"intervals":[{"from_index":190,"to_index":480,"sum":88457,"residue":547},{"from_index":480,"to_index":770,"sum":82203,"residue":193},{"from_index":770,"to_index":1060,"sum":87572,"residue":252},{"from_index":1060,"to_index":1350,"sum":82203,"residue":193},{"from_index":1350,"to_index":1640,"sum":83147,"residue":547},{"from_index":1640,"to_index":190,"sum":83678,"residue":488}],"minimal_cycle":[547,193,252,193,547,488],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":547,"start_interval_clock_positions":[190,480],"circle_positions":590,"cycle_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":[191,481,771,1061,1351,1641],"clock_positions":[191,481,771,1061,1351,1641],"native_values":[299,181,4,181,299,476],"rotation_degrees":39.51724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,181,4,181,299,476],"beta":{"interval_sums":[88378,82537,88083,82242,83363,83717],"interval_residues":[468,527,173,232,173,527],"display_cycle":[468,527,173,232,173,527],"intervals":[{"from_index":191,"to_index":481,"sum":88378,"residue":468},{"from_index":481,"to_index":771,"sum":82537,"residue":527},{"from_index":771,"to_index":1061,"sum":88083,"residue":173},{"from_index":1061,"to_index":1351,"sum":82242,"residue":232},{"from_index":1351,"to_index":1641,"sum":83363,"residue":173},{"from_index":1641,"to_index":191,"sum":83717,"residue":527}],"minimal_cycle":[468,527,173,232,173,527],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[191,481],"circle_positions":590,"cycle_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":[192,482,772,1062,1352,1642],"clock_positions":[192,482,772,1062,1352,1642],"native_values":[224,401,519,106,519,401],"rotation_degrees":39.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[224,401,519,106,519,401],"beta":{"interval_sums":[88335,82140,87745,82435,83320,83615],"interval_residues":[425,130,425,425,130,425],"display_cycle":[425,130,425,425,130,425],"intervals":[{"from_index":192,"to_index":482,"sum":88335,"residue":425},{"from_index":482,"to_index":772,"sum":82140,"residue":130},{"from_index":772,"to_index":1062,"sum":87745,"residue":425},{"from_index":1062,"to_index":1352,"sum":82435,"residue":425},{"from_index":1352,"to_index":1642,"sum":83320,"residue":130},{"from_index":1642,"to_index":192,"sum":83615,"residue":425}],"minimal_cycle":[425,130,425],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":425,"start_interval_clock_positions":[192,482],"circle_positions":590,"cycle_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":[193,483,773,1063,1353,1643],"clock_positions":[193,483,773,1063,1353,1643],"native_values":[523,582,523,287,228,287],"rotation_degrees":39.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,582,523,287,228,287],"beta":{"interval_sums":[88213,82077,87328,82667,83493,83552],"interval_residues":[303,67,8,67,303,362],"display_cycle":[303,67,8,67,303,362],"intervals":[{"from_index":193,"to_index":483,"sum":88213,"residue":303},{"from_index":483,"to_index":773,"sum":82077,"residue":67},{"from_index":773,"to_index":1063,"sum":87328,"residue":8},{"from_index":1063,"to_index":1353,"sum":82667,"residue":67},{"from_index":1353,"to_index":1643,"sum":83493,"residue":303},{"from_index":1643,"to_index":193,"sum":83552,"residue":362}],"minimal_cycle":[303,67,8,67,303,362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":303,"start_interval_clock_positions":[193,483],"circle_positions":590,"cycle_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":[194,484,774,1064,1354,1644],"clock_positions":[194,484,774,1064,1354,1644],"native_values":[157,393,452,393,157,98],"rotation_degrees":40.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,393,452,393,157,98],"beta":{"interval_sums":[88638,82207,87163,82502,83623,83977],"interval_residues":[138,197,433,492,433,197],"display_cycle":[138,197,433,492,433,197],"intervals":[{"from_index":194,"to_index":484,"sum":88638,"residue":138},{"from_index":484,"to_index":774,"sum":82207,"residue":197},{"from_index":774,"to_index":1064,"sum":87163,"residue":433},{"from_index":1064,"to_index":1354,"sum":82502,"residue":492},{"from_index":1354,"to_index":1644,"sum":83623,"residue":433},{"from_index":1644,"to_index":194,"sum":83977,"residue":197}],"minimal_cycle":[138,197,433,492,433,197],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[194,484],"circle_positions":590,"cycle_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":[195,485,775,1065,1355,1645],"clock_positions":[195,485,775,1065,1355,1645],"native_values":[90,385,385,90,385,385],"rotation_degrees":40.3448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[90,385,385],"beta":{"interval_sums":[88941,82274,87171,82569,83336,83749],"interval_residues":[441,264,441,559,146,559],"display_cycle":[441,264,441,559,146,559],"intervals":[{"from_index":195,"to_index":485,"sum":88941,"residue":441},{"from_index":485,"to_index":775,"sum":82274,"residue":264},{"from_index":775,"to_index":1065,"sum":87171,"residue":441},{"from_index":1065,"to_index":1355,"sum":82569,"residue":559},{"from_index":1355,"to_index":1645,"sum":83336,"residue":146},{"from_index":1645,"to_index":195,"sum":83749,"residue":559}],"minimal_cycle":[441,264,441,559,146,559],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":441,"start_interval_clock_positions":[195,485],"circle_positions":590,"cycle_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":[196,486,776,1066,1356,1646],"clock_positions":[196,486,776,1066,1356,1646],"native_values":[247,188,247,483,542,483],"rotation_degrees":40.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,188,247,483,542,483],"beta":{"interval_sums":[89079,82471,87014,82471,83179,83356],"interval_residues":[579,461,284,461,579,166],"display_cycle":[579,461,284,461,579,166],"intervals":[{"from_index":196,"to_index":486,"sum":89079,"residue":579},{"from_index":486,"to_index":776,"sum":82471,"residue":461},{"from_index":776,"to_index":1066,"sum":87014,"residue":284},{"from_index":1066,"to_index":1356,"sum":82471,"residue":461},{"from_index":1356,"to_index":1646,"sum":83179,"residue":579},{"from_index":1646,"to_index":196,"sum":83356,"residue":166}],"minimal_cycle":[579,461,284,461,579,166],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":579,"start_interval_clock_positions":[196,486],"circle_positions":590,"cycle_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":[197,487,777,1067,1357,1647],"clock_positions":[197,487,777,1067,1357,1647],"native_values":[337,573,42,573,337,278],"rotation_degrees":40.758620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,573,42,573,337,278],"beta":{"interval_sums":[88930,82145,87455,82440,83325,83325],"interval_residues":[430,135,135,430,135,135],"display_cycle":[430,135,135,430,135,135],"intervals":[{"from_index":197,"to_index":487,"sum":88930,"residue":430},{"from_index":487,"to_index":777,"sum":82145,"residue":135},{"from_index":777,"to_index":1067,"sum":87455,"residue":135},{"from_index":1067,"to_index":1357,"sum":82440,"residue":430},{"from_index":1357,"to_index":1647,"sum":83325,"residue":135},{"from_index":1647,"to_index":197,"sum":83325,"residue":135}],"minimal_cycle":[430,135,135],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[197,487],"circle_positions":590,"cycle_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":[198,488,778,1068,1358,1648],"clock_positions":[198,488,778,1068,1358,1648],"native_values":[584,171,289,466,289,171],"rotation_degrees":40.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[584,171,289,466,289,171],"beta":{"interval_sums":[88919,82016,87739,82311,83314,83491],"interval_residues":[419,6,419,301,124,301],"display_cycle":[419,6,419,301,124,301],"intervals":[{"from_index":198,"to_index":488,"sum":88919,"residue":419},{"from_index":488,"to_index":778,"sum":82016,"residue":6},{"from_index":778,"to_index":1068,"sum":87739,"residue":419},{"from_index":1068,"to_index":1358,"sum":82311,"residue":301},{"from_index":1358,"to_index":1648,"sum":83314,"residue":124},{"from_index":1648,"to_index":198,"sum":83491,"residue":301}],"minimal_cycle":[419,6,419,301,124,301],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":419,"start_interval_clock_positions":[198,488],"circle_positions":590,"cycle_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":[199,489,779,1069,1359,1649],"clock_positions":[199,489,779,1069,1359,1649],"native_values":[331,154,331,449,36,449],"rotation_degrees":41.172413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,154,331,449,36,449],"beta":{"interval_sums":[88759,82151,87874,82151,83449,83626],"interval_residues":[259,141,554,141,259,436],"display_cycle":[259,141,554,141,259,436],"intervals":[{"from_index":199,"to_index":489,"sum":88759,"residue":259},{"from_index":489,"to_index":779,"sum":82151,"residue":141},{"from_index":779,"to_index":1069,"sum":87874,"residue":554},{"from_index":1069,"to_index":1359,"sum":82151,"residue":141},{"from_index":1359,"to_index":1649,"sum":83449,"residue":259},{"from_index":1649,"to_index":199,"sum":83626,"residue":436}],"minimal_cycle":[259,141,554,141,259,436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":259,"start_interval_clock_positions":[199,489],"circle_positions":590,"cycle_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":[200,490,780,1070,1360,1650],"clock_positions":[200,490,780,1070,1360,1650],"native_values":[325,325,30,325,325,30],"rotation_degrees":41.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,325,30],"beta":{"interval_sums":[88588,82157,88293,81862,83573,83927],"interval_residues":[88,147,383,442,383,147],"display_cycle":[88,147,383,442,383,147],"intervals":[{"from_index":200,"to_index":490,"sum":88588,"residue":88},{"from_index":490,"to_index":780,"sum":82157,"residue":147},{"from_index":780,"to_index":1070,"sum":88293,"residue":383},{"from_index":1070,"to_index":1360,"sum":81862,"residue":442},{"from_index":1360,"to_index":1650,"sum":83573,"residue":383},{"from_index":1650,"to_index":200,"sum":83927,"residue":147}],"minimal_cycle":[88,147,383,442,383,147],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[200,490],"circle_positions":590,"cycle_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":[201,491,781,1071,1361,1651],"clock_positions":[201,491,781,1071,1361,1651],"native_values":[66,479,361,184,361,479],"rotation_degrees":41.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[66,479,361,184,361,479],"beta":{"interval_sums":[88847,81708,88257,82003,83242,83773],"interval_residues":[347,288,347,583,52,583],"display_cycle":[347,288,347,583,52,583],"intervals":[{"from_index":201,"to_index":491,"sum":88847,"residue":347},{"from_index":491,"to_index":781,"sum":81708,"residue":288},{"from_index":781,"to_index":1071,"sum":88257,"residue":347},{"from_index":1071,"to_index":1361,"sum":82003,"residue":583},{"from_index":1361,"to_index":1651,"sum":83242,"residue":52},{"from_index":1651,"to_index":201,"sum":83773,"residue":583}],"minimal_cycle":[347,288,347,583,52,583],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":347,"start_interval_clock_positions":[201,491],"circle_positions":590,"cycle_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":[202,492,782,1072,1362,1652],"clock_positions":[202,492,782,1072,1362,1652],"native_values":[391,214,391,509,96,509],"rotation_degrees":41.793103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,214,391,509,96,509],"beta":{"interval_sums":[88935,81855,88050,81855,83625,83330],"interval_residues":[435,435,140,435,435,140],"display_cycle":[435,435,140,435,435,140],"intervals":[{"from_index":202,"to_index":492,"sum":88935,"residue":435},{"from_index":492,"to_index":782,"sum":81855,"residue":435},{"from_index":782,"to_index":1072,"sum":88050,"residue":140},{"from_index":1072,"to_index":1362,"sum":81855,"residue":435},{"from_index":1362,"to_index":1652,"sum":83625,"residue":435},{"from_index":1652,"to_index":202,"sum":83330,"residue":140}],"minimal_cycle":[435,435,140],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":435,"start_interval_clock_positions":[202,492],"circle_positions":590,"cycle_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":[203,493,783,1073,1363,1653],"clock_positions":[203,493,783,1073,1363,1653],"native_values":[457,103,162,103,457,398],"rotation_degrees":42.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,103,162,103,457,398],"beta":{"interval_sums":[88692,82143,88397,81848,83677,83323],"interval_residues":[192,133,487,428,487,133],"display_cycle":[192,133,487,428,487,133],"intervals":[{"from_index":203,"to_index":493,"sum":88692,"residue":192},{"from_index":493,"to_index":783,"sum":82143,"residue":133},{"from_index":783,"to_index":1073,"sum":88397,"residue":487},{"from_index":1073,"to_index":1363,"sum":81848,"residue":428},{"from_index":1363,"to_index":1653,"sum":83677,"residue":487},{"from_index":1653,"to_index":203,"sum":83323,"residue":133}],"minimal_cycle":[192,133,487,428,487,133],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[203,493],"circle_positions":590,"cycle_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":[204,494,784,1074,1364,1654],"clock_positions":[204,494,784,1074,1364,1654],"native_values":[258,317,553,22,553,317],"rotation_degrees":42.206896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[258,317,553,22,553,317],"beta":{"interval_sums":[88537,81988,87947,82283,83522,83463],"interval_residues":[37,568,37,273,332,273],"display_cycle":[37,568,37,273,332,273],"intervals":[{"from_index":204,"to_index":494,"sum":88537,"residue":37},{"from_index":494,"to_index":784,"sum":81988,"residue":568},{"from_index":784,"to_index":1074,"sum":87947,"residue":37},{"from_index":1074,"to_index":1364,"sum":82283,"residue":273},{"from_index":1364,"to_index":1654,"sum":83522,"residue":332},{"from_index":1654,"to_index":204,"sum":83463,"residue":273}],"minimal_cycle":[37,568,37,273,332,273],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":37,"start_interval_clock_positions":[204,494],"circle_positions":590,"cycle_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":[205,495,785,1075,1365,1655],"clock_positions":[205,495,785,1075,1365,1655],"native_values":[125,420,125,125,420,125],"rotation_degrees":42.41379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,420,125],"beta":{"interval_sums":[88729,82121,87844,82711,83419,83596],"interval_residues":[229,111,524,111,229,406],"display_cycle":[229,111,524,111,229,406],"intervals":[{"from_index":205,"to_index":495,"sum":88729,"residue":229},{"from_index":495,"to_index":785,"sum":82121,"residue":111},{"from_index":785,"to_index":1075,"sum":87844,"residue":524},{"from_index":1075,"to_index":1365,"sum":82711,"residue":111},{"from_index":1365,"to_index":1655,"sum":83419,"residue":229},{"from_index":1655,"to_index":205,"sum":83596,"residue":406}],"minimal_cycle":[229,111,524,111,229,406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":229,"start_interval_clock_positions":[205,495],"circle_positions":590,"cycle_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":[206,496,786,1076,1366,1656],"clock_positions":[206,496,786,1076,1366,1656],"native_values":[383,147,88,147,383,442],"rotation_degrees":42.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[383,147,88,147,383,442],"beta":{"interval_sums":[88766,82099,87881,82984,83161,83279],"interval_residues":[266,89,561,384,561,89],"display_cycle":[266,89,561,384,561,89],"intervals":[{"from_index":206,"to_index":496,"sum":88766,"residue":266},{"from_index":496,"to_index":786,"sum":82099,"residue":89},{"from_index":786,"to_index":1076,"sum":87881,"residue":561},{"from_index":1076,"to_index":1366,"sum":82984,"residue":384},{"from_index":1366,"to_index":1656,"sum":83161,"residue":561},{"from_index":1656,"to_index":206,"sum":83279,"residue":89}],"minimal_cycle":[266,89,561,384,561,89],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[206,496],"circle_positions":590,"cycle_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":[207,497,787,1077,1367,1657],"clock_positions":[207,497,787,1077,1367,1657],"native_values":[508,567,213,272,213,567],"rotation_degrees":42.827586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[508,567,213,272,213,567],"beta":{"interval_sums":[88405,81620,87815,83095,83390,83095],"interval_residues":[495,200,495,495,200,495],"display_cycle":[495,200,495,495,200,495],"intervals":[{"from_index":207,"to_index":497,"sum":88405,"residue":495},{"from_index":497,"to_index":787,"sum":81620,"residue":200},{"from_index":787,"to_index":1077,"sum":87815,"residue":495},{"from_index":1077,"to_index":1367,"sum":83095,"residue":495},{"from_index":1367,"to_index":1657,"sum":83390,"residue":200},{"from_index":1657,"to_index":207,"sum":83095,"residue":495}],"minimal_cycle":[495,200,495],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":495,"start_interval_clock_positions":[207,497],"circle_positions":590,"cycle_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":[208,498,788,1078,1368,1658],"clock_positions":[208,498,788,1078,1368,1658],"native_values":[301,124,301,419,6,419],"rotation_degrees":43.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,124,301,419,6,419],"beta":{"interval_sums":[88671,81709,87786,82889,83951,83184],"interval_residues":[171,289,466,289,171,584],"display_cycle":[171,289,466,289,171,584],"intervals":[{"from_index":208,"to_index":498,"sum":88671,"residue":171},{"from_index":498,"to_index":788,"sum":81709,"residue":289},{"from_index":788,"to_index":1078,"sum":87786,"residue":466},{"from_index":1078,"to_index":1368,"sum":82889,"residue":289},{"from_index":1368,"to_index":1658,"sum":83951,"residue":171},{"from_index":1658,"to_index":208,"sum":83184,"residue":584}],"minimal_cycle":[171,289,466,289,171,584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":171,"start_interval_clock_positions":[208,498],"circle_positions":590,"cycle_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":[209,499,789,1079,1369,1659],"clock_positions":[209,499,789,1079,1369,1659],"native_values":[219,101,514,101,219,396],"rotation_degrees":43.241379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,101,514,101,219,396],"beta":{"interval_sums":[88576,81909,87691,82794,84151,83089],"interval_residues":[76,489,371,194,371,489],"display_cycle":[76,489,371,194,371,489],"intervals":[{"from_index":209,"to_index":499,"sum":88576,"residue":76},{"from_index":499,"to_index":789,"sum":81909,"residue":489},{"from_index":789,"to_index":1079,"sum":87691,"residue":371},{"from_index":1079,"to_index":1369,"sum":82794,"residue":194},{"from_index":1369,"to_index":1659,"sum":84151,"residue":371},{"from_index":1659,"to_index":209,"sum":83089,"residue":489}],"minimal_cycle":[76,489,371,194,371,489],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[209,499],"circle_positions":590,"cycle_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":[210,500,790,1080,1370,1660],"clock_positions":[210,500,790,1080,1370,1660],"native_values":[520,225,225,520,225,225],"rotation_degrees":43.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[520,225,225],"beta":{"interval_sums":[88157,82198,87567,82493,84322,83083],"interval_residues":[247,188,247,483,542,483],"display_cycle":[247,188,247,483,542,483],"intervals":[{"from_index":210,"to_index":500,"sum":88157,"residue":247},{"from_index":500,"to_index":790,"sum":82198,"residue":188},{"from_index":790,"to_index":1080,"sum":87567,"residue":247},{"from_index":1080,"to_index":1370,"sum":82493,"residue":483},{"from_index":1370,"to_index":1660,"sum":84322,"residue":542},{"from_index":1660,"to_index":210,"sum":83083,"residue":483}],"minimal_cycle":[247,188,247,483,542,483],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":247,"start_interval_clock_positions":[210,500],"circle_positions":590,"cycle_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":[211,501,791,1081,1371,1661],"clock_positions":[211,501,791,1081,1371,1661],"native_values":[149,326,149,31,444,31],"rotation_degrees":43.6551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,326,149,31,444,31],"beta":{"interval_sums":[88233,82097,87938,82687,84103,83572],"interval_residues":[323,87,28,87,323,382],"display_cycle":[323,87,28,87,323,382],"intervals":[{"from_index":211,"to_index":501,"sum":88233,"residue":323},{"from_index":501,"to_index":791,"sum":82097,"residue":87},{"from_index":791,"to_index":1081,"sum":87938,"residue":28},{"from_index":1081,"to_index":1371,"sum":82687,"residue":87},{"from_index":1371,"to_index":1661,"sum":84103,"residue":323},{"from_index":1661,"to_index":211,"sum":83572,"residue":382}],"minimal_cycle":[323,87,28,87,323,382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":323,"start_interval_clock_positions":[211,501],"circle_positions":590,"cycle_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":[212,502,792,1082,1372,1662],"clock_positions":[212,502,792,1082,1372,1662],"native_values":[79,551,374,551,79,256],"rotation_degrees":43.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,551,374,551,79,256],"beta":{"interval_sums":[88480,81695,87595,82580,84055,83465],"interval_residues":[570,275,275,570,275,275],"display_cycle":[570,275,275,570,275,275],"intervals":[{"from_index":212,"to_index":502,"sum":88480,"residue":570},{"from_index":502,"to_index":792,"sum":81695,"residue":275},{"from_index":792,"to_index":1082,"sum":87595,"residue":275},{"from_index":1082,"to_index":1372,"sum":82580,"residue":570},{"from_index":1372,"to_index":1662,"sum":84055,"residue":275},{"from_index":1662,"to_index":212,"sum":83465,"residue":275}],"minimal_cycle":[570,275,275],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[212,502],"circle_positions":590,"cycle_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":[213,503,793,1083,1373,1663],"clock_positions":[213,503,793,1083,1373,1663],"native_values":[228,287,523,582,523,287],"rotation_degrees":44.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[228,287,523,582,523,287],"beta":{"interval_sums":[88803,81782,87623,82077,83788,83257],"interval_residues":[303,362,303,67,8,67],"display_cycle":[303,362,303,67,8,67],"intervals":[{"from_index":213,"to_index":503,"sum":88803,"residue":303},{"from_index":503,"to_index":793,"sum":81782,"residue":362},{"from_index":793,"to_index":1083,"sum":87623,"residue":303},{"from_index":1083,"to_index":1373,"sum":82077,"residue":67},{"from_index":1373,"to_index":1663,"sum":83788,"residue":8},{"from_index":1663,"to_index":213,"sum":83257,"residue":67}],"minimal_cycle":[303,362,303,67,8,67],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":303,"start_interval_clock_positions":[213,503],"circle_positions":590,"cycle_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":[214,504,794,1084,1374,1664],"clock_positions":[214,504,794,1084,1374,1664],"native_values":[307,248,307,543,12,543],"rotation_degrees":44.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,248,307,543,12,543],"beta":{"interval_sums":[88783,82057,87898,82057,84063,82942],"interval_residues":[283,47,578,47,283,342],"display_cycle":[283,47,578,47,283,342],"intervals":[{"from_index":214,"to_index":504,"sum":88783,"residue":283},{"from_index":504,"to_index":794,"sum":82057,"residue":47},{"from_index":794,"to_index":1084,"sum":87898,"residue":578},{"from_index":1084,"to_index":1374,"sum":82057,"residue":47},{"from_index":1374,"to_index":1664,"sum":84063,"residue":283},{"from_index":1664,"to_index":214,"sum":82942,"residue":342}],"minimal_cycle":[283,47,578,47,283,342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":283,"start_interval_clock_positions":[214,504],"circle_positions":590,"cycle_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":[215,505,795,1085,1375,1665],"clock_positions":[215,505,795,1085,1375,1665],"native_values":[535,535,240,535,535,240],"rotation_degrees":44.48275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[535,535,240],"beta":{"interval_sums":[88496,81829,88201,81534,84071,83009],"interval_residues":[586,409,291,114,291,409],"display_cycle":[586,409,291,114,291,409],"intervals":[{"from_index":215,"to_index":505,"sum":88496,"residue":586},{"from_index":505,"to_index":795,"sum":81829,"residue":409},{"from_index":795,"to_index":1085,"sum":88201,"residue":291},{"from_index":1085,"to_index":1375,"sum":81534,"residue":114},{"from_index":1375,"to_index":1665,"sum":84071,"residue":291},{"from_index":1665,"to_index":215,"sum":83009,"residue":409}],"minimal_cycle":[586,409,291,114,291,409],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[215,505],"circle_positions":590,"cycle_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":[216,506,796,1086,1376,1666],"clock_positions":[216,506,796,1086,1376,1666],"native_values":[252,193,547,488,547,193],"rotation_degrees":44.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[252,193,547,488,547,193],"beta":{"interval_sums":[88779,81876,88189,81581,83764,83351],"interval_residues":[279,456,279,161,574,161],"display_cycle":[279,456,279,161,574,161],"intervals":[{"from_index":216,"to_index":506,"sum":88779,"residue":279},{"from_index":506,"to_index":796,"sum":81876,"residue":456},{"from_index":796,"to_index":1086,"sum":88189,"residue":279},{"from_index":1086,"to_index":1376,"sum":81581,"residue":161},{"from_index":1376,"to_index":1666,"sum":83764,"residue":574},{"from_index":1666,"to_index":216,"sum":83351,"residue":161}],"minimal_cycle":[279,456,279,161,574,161],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":279,"start_interval_clock_positions":[216,506],"circle_positions":590,"cycle_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":[217,507,797,1087,1377,1667],"clock_positions":[217,507,797,1087,1377,1667],"native_values":[197,138,197,433,492,433],"rotation_degrees":44.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,138,197,433,492,433],"beta":{"interval_sums":[88775,82285,88480,81695,83465,83170],"interval_residues":[275,275,570,275,275,570],"display_cycle":[275,275,570,275,275,570],"intervals":[{"from_index":217,"to_index":507,"sum":88775,"residue":275},{"from_index":507,"to_index":797,"sum":82285,"residue":275},{"from_index":797,"to_index":1087,"sum":88480,"residue":570},{"from_index":1087,"to_index":1377,"sum":81695,"residue":275},{"from_index":1377,"to_index":1667,"sum":83465,"residue":275},{"from_index":1667,"to_index":217,"sum":83170,"residue":570}],"minimal_cycle":[275,275,570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":275,"start_interval_clock_positions":[217,507],"circle_positions":590,"cycle_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":[218,508,798,1088,1378,1668],"clock_positions":[218,508,798,1088,1378,1668],"native_values":[449,331,154,331,449,36],"rotation_degrees":45.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,331,154,331,449,36],"beta":{"interval_sums":[88464,82151,88759,81856,83449,83331],"interval_residues":[554,141,259,436,259,141],"display_cycle":[554,141,259,436,259,141],"intervals":[{"from_index":218,"to_index":508,"sum":88464,"residue":554},{"from_index":508,"to_index":798,"sum":82151,"residue":141},{"from_index":798,"to_index":1088,"sum":88759,"residue":259},{"from_index":1088,"to_index":1378,"sum":81856,"residue":436},{"from_index":1378,"to_index":1668,"sum":83449,"residue":259},{"from_index":1668,"to_index":218,"sum":83331,"residue":141}],"minimal_cycle":[554,141,259,436,259,141],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[218,508],"circle_positions":590,"cycle_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":[219,509,799,1089,1379,1669],"clock_positions":[219,509,799,1089,1379,1669],"native_values":[56,469,351,174,351,469],"rotation_degrees":45.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[56,469,351,174,351,469],"beta":{"interval_sums":[88739,81836,88739,82131,83134,83311],"interval_residues":[239,416,239,121,534,121],"display_cycle":[239,416,239,121,534,121],"intervals":[{"from_index":219,"to_index":509,"sum":88739,"residue":239},{"from_index":509,"to_index":799,"sum":81836,"residue":416},{"from_index":799,"to_index":1089,"sum":88739,"residue":239},{"from_index":1089,"to_index":1379,"sum":82131,"residue":121},{"from_index":1379,"to_index":1669,"sum":83134,"residue":534},{"from_index":1669,"to_index":219,"sum":83311,"residue":121}],"minimal_cycle":[239,416,239,121,534,121],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":239,"start_interval_clock_positions":[219,509],"circle_positions":590,"cycle_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":[220,510,800,1090,1380,1670],"clock_positions":[220,510,800,1090,1380,1670],"native_values":[505,210,505,505,210,505],"rotation_degrees":45.51724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[505,210,505],"beta":{"interval_sums":[88703,81977,88408,81977,83393,82862],"interval_residues":[203,557,498,557,203,262],"display_cycle":[203,557,498,557,203,262],"intervals":[{"from_index":220,"to_index":510,"sum":88703,"residue":203},{"from_index":510,"to_index":800,"sum":81977,"residue":557},{"from_index":800,"to_index":1090,"sum":88408,"residue":498},{"from_index":1090,"to_index":1380,"sum":81977,"residue":557},{"from_index":1380,"to_index":1670,"sum":83393,"residue":203},{"from_index":1670,"to_index":220,"sum":82862,"residue":262}],"minimal_cycle":[203,557,498,557,203,262],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":203,"start_interval_clock_positions":[220,510],"circle_positions":590,"cycle_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":[221,511,801,1091,1381,1671],"clock_positions":[221,511,801,1091,1381,1671],"native_values":[561,89,266,89,561,384],"rotation_degrees":45.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,89,266,89,561,384],"beta":{"interval_sums":[88352,82393,88647,82098,83337,82983],"interval_residues":[442,383,147,88,147,383],"display_cycle":[442,383,147,88,147,383],"intervals":[{"from_index":221,"to_index":511,"sum":88352,"residue":442},{"from_index":511,"to_index":801,"sum":82393,"residue":383},{"from_index":801,"to_index":1091,"sum":88647,"residue":147},{"from_index":1091,"to_index":1381,"sum":82098,"residue":88},{"from_index":1381,"to_index":1671,"sum":83337,"residue":147},{"from_index":1671,"to_index":221,"sum":82983,"residue":383}],"minimal_cycle":[442,383,147,88,147,383],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[221,511],"circle_positions":590,"cycle_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":[222,512,802,1092,1382,1672],"clock_positions":[222,512,802,1092,1382,1672],"native_values":[476,299,181,4,181,299],"rotation_degrees":45.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[476,299,181,4,181,299],"beta":{"interval_sums":[87965,82360,88555,82655,83540,83245],"interval_residues":[55,350,55,55,350,55],"display_cycle":[55,350,55,55,350,55],"intervals":[{"from_index":222,"to_index":512,"sum":87965,"residue":55},{"from_index":512,"to_index":802,"sum":82360,"residue":350},{"from_index":802,"to_index":1092,"sum":88555,"residue":55},{"from_index":1092,"to_index":1382,"sum":82655,"residue":55},{"from_index":1382,"to_index":1672,"sum":83540,"residue":350},{"from_index":1672,"to_index":222,"sum":83245,"residue":55}],"minimal_cycle":[55,350,55],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":55,"start_interval_clock_positions":[222,512],"circle_positions":590,"cycle_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":[223,513,803,1093,1383,1673],"clock_positions":[223,513,803,1093,1383,1673],"native_values":[447,388,447,93,152,93],"rotation_degrees":46.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[447,388,447,93,152,93],"beta":{"interval_sums":[87817,82153,88112,82743,83687,83628],"interval_residues":[497,143,202,143,497,438],"display_cycle":[497,143,202,143,497,438],"intervals":[{"from_index":223,"to_index":513,"sum":87817,"residue":497},{"from_index":513,"to_index":803,"sum":82153,"residue":143},{"from_index":803,"to_index":1093,"sum":88112,"residue":202},{"from_index":1093,"to_index":1383,"sum":82743,"residue":143},{"from_index":1383,"to_index":1673,"sum":83687,"residue":497},{"from_index":1673,"to_index":223,"sum":83628,"residue":438}],"minimal_cycle":[497,143,202,143,497,438],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":497,"start_interval_clock_positions":[223,513],"circle_positions":590,"cycle_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":[224,514,804,1094,1384,1674],"clock_positions":[224,514,804,1094,1384,1674],"native_values":[333,97,38,97,333,392],"rotation_degrees":46.3448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,97,38,97,333,392],"beta":{"interval_sums":[87872,82503,88167,82798,83447,83683],"interval_residues":[552,493,257,198,257,493],"display_cycle":[552,493,257,198,257,493],"intervals":[{"from_index":224,"to_index":514,"sum":87872,"residue":552},{"from_index":514,"to_index":804,"sum":82503,"residue":493},{"from_index":804,"to_index":1094,"sum":88167,"residue":257},{"from_index":1094,"to_index":1384,"sum":82798,"residue":198},{"from_index":1384,"to_index":1674,"sum":83447,"residue":257},{"from_index":1674,"to_index":224,"sum":83683,"residue":493}],"minimal_cycle":[552,493,257,198,257,493],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[224,514],"circle_positions":590,"cycle_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":[225,515,805,1095,1385,1675],"clock_positions":[225,515,805,1095,1385,1675],"native_values":[190,485,485,190,485,485],"rotation_degrees":46.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[190,485,485],"beta":{"interval_sums":[87779,82056,87779,82941,83354,83531],"interval_residues":[459,46,459,341,164,341],"display_cycle":[459,46,459,341,164,341],"intervals":[{"from_index":225,"to_index":515,"sum":87779,"residue":459},{"from_index":515,"to_index":805,"sum":82056,"residue":46},{"from_index":805,"to_index":1095,"sum":87779,"residue":459},{"from_index":1095,"to_index":1385,"sum":82941,"residue":341},{"from_index":1385,"to_index":1675,"sum":83354,"residue":164},{"from_index":1675,"to_index":225,"sum":83531,"residue":341}],"minimal_cycle":[459,46,459,341,164,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":459,"start_interval_clock_positions":[225,515],"circle_positions":590,"cycle_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":[226,516,806,1096,1386,1676],"clock_positions":[226,516,806,1096,1386,1676],"native_values":[523,582,523,287,228,287],"rotation_degrees":46.758620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,582,523,287,228,287],"beta":{"interval_sums":[87741,81959,87446,83139,83611,83434],"interval_residues":[421,539,126,539,421,244],"display_cycle":[421,539,126,539,421,244],"intervals":[{"from_index":226,"to_index":516,"sum":87741,"residue":421},{"from_index":516,"to_index":806,"sum":81959,"residue":539},{"from_index":806,"to_index":1096,"sum":87446,"residue":126},{"from_index":1096,"to_index":1386,"sum":83139,"residue":539},{"from_index":1386,"to_index":1676,"sum":83611,"residue":421},{"from_index":1676,"to_index":226,"sum":83434,"residue":244}],"minimal_cycle":[421,539,126,539,421,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":421,"start_interval_clock_positions":[226,516],"circle_positions":590,"cycle_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":[227,517,807,1097,1387,1677],"clock_positions":[227,517,807,1097,1387,1677],"native_values":[123,477,418,477,123,182],"rotation_degrees":46.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,477,418,477,123,182],"beta":{"interval_sums":[88200,82005,87315,82890,83775,83775],"interval_residues":[290,585,585,290,585,585],"display_cycle":[290,585,585,290,585,585],"intervals":[{"from_index":227,"to_index":517,"sum":88200,"residue":290},{"from_index":517,"to_index":807,"sum":82005,"residue":585},{"from_index":807,"to_index":1097,"sum":87315,"residue":585},{"from_index":1097,"to_index":1387,"sum":82890,"residue":290},{"from_index":1387,"to_index":1677,"sum":83775,"residue":585},{"from_index":1677,"to_index":227,"sum":83775,"residue":585}],"minimal_cycle":[290,585,585],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[227,517],"circle_positions":590,"cycle_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":[228,518,808,1098,1388,1678],"clock_positions":[228,518,808,1098,1388,1678],"native_values":[56,469,351,174,351,469],"rotation_degrees":47.172413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[56,469,351,174,351,469],"beta":{"interval_sums":[88621,81954,87441,82839,83606,83429],"interval_residues":[121,534,121,239,416,239],"display_cycle":[121,534,121,239,416,239],"intervals":[{"from_index":228,"to_index":518,"sum":88621,"residue":121},{"from_index":518,"to_index":808,"sum":81954,"residue":534},{"from_index":808,"to_index":1098,"sum":87441,"residue":121},{"from_index":1098,"to_index":1388,"sum":82839,"residue":239},{"from_index":1388,"to_index":1678,"sum":83606,"residue":416},{"from_index":1678,"to_index":228,"sum":83429,"residue":239}],"minimal_cycle":[121,534,121,239,416,239],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":121,"start_interval_clock_positions":[228,518],"circle_positions":590,"cycle_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":[229,519,809,1099,1389,1679],"clock_positions":[229,519,809,1099,1389,1679],"native_values":[179,356,179,61,474,61],"rotation_degrees":47.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[179,356,179,61,474,61],"beta":{"interval_sums":[88911,81949,87436,83129,83601,83424],"interval_residues":[411,529,116,529,411,234],"display_cycle":[411,529,116,529,411,234],"intervals":[{"from_index":229,"to_index":519,"sum":88911,"residue":411},{"from_index":519,"to_index":809,"sum":81949,"residue":529},{"from_index":809,"to_index":1099,"sum":87436,"residue":116},{"from_index":1099,"to_index":1389,"sum":83129,"residue":529},{"from_index":1389,"to_index":1679,"sum":83601,"residue":411},{"from_index":1679,"to_index":229,"sum":83424,"residue":234}],"minimal_cycle":[411,529,116,529,411,234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":411,"start_interval_clock_positions":[229,519],"circle_positions":590,"cycle_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":[230,520,810,1100,1390,1680],"clock_positions":[230,520,810,1100,1390,1680],"native_values":[235,235,530,235,235,530],"rotation_degrees":47.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,235,530],"beta":{"interval_sums":[89032,81893,86967,83368,83427,83073],"interval_residues":[532,473,237,178,237,473],"display_cycle":[532,473,237,178,237,473],"intervals":[{"from_index":230,"to_index":520,"sum":89032,"residue":532},{"from_index":520,"to_index":810,"sum":81893,"residue":473},{"from_index":810,"to_index":1100,"sum":86967,"residue":237},{"from_index":1100,"to_index":1390,"sum":83368,"residue":178},{"from_index":1390,"to_index":1680,"sum":83427,"residue":237},{"from_index":1680,"to_index":230,"sum":83073,"residue":473}],"minimal_cycle":[532,473,237,178,237,473],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":532,"start_interval_clock_positions":[230,520],"circle_positions":590,"cycle_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":[231,521,811,1101,1391,1681],"clock_positions":[231,521,811,1101,1391,1681],"native_values":[414,1,119,296,119,1],"rotation_degrees":47.793103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[414,1,119,296,119,1],"beta":{"interval_sums":[88853,82422,87083,83307,83838,83307],"interval_residues":[353,412,353,117,58,117],"display_cycle":[353,412,353,117,58,117],"intervals":[{"from_index":231,"to_index":521,"sum":88853,"residue":353},{"from_index":521,"to_index":811,"sum":82422,"residue":412},{"from_index":811,"to_index":1101,"sum":87083,"residue":353},{"from_index":1101,"to_index":1391,"sum":83307,"residue":117},{"from_index":1391,"to_index":1681,"sum":83838,"residue":58},{"from_index":1681,"to_index":231,"sum":83307,"residue":117}],"minimal_cycle":[353,412,353,117,58,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":353,"start_interval_clock_positions":[231,521],"circle_positions":590,"cycle_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":[232,522,812,1102,1392,1682],"clock_positions":[232,522,812,1102,1392,1682],"native_values":[59,236,59,531,354,531],"rotation_degrees":48.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[59,236,59,531,354,531],"beta":{"interval_sums":[88795,82305,87320,82895,83485,83190],"interval_residues":[295,295,0,295,295,0],"display_cycle":[295,295,590,295,295,590],"intervals":[{"from_index":232,"to_index":522,"sum":88795,"residue":295},{"from_index":522,"to_index":812,"sum":82305,"residue":295},{"from_index":812,"to_index":1102,"sum":87320,"residue":0},{"from_index":1102,"to_index":1392,"sum":82895,"residue":295},{"from_index":1392,"to_index":1682,"sum":83485,"residue":295},{"from_index":1682,"to_index":232,"sum":83190,"residue":0}],"minimal_cycle":[295,295,0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":295,"start_interval_clock_positions":[232,522],"circle_positions":590,"cycle_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":[233,523,813,1103,1393,1683],"clock_positions":[233,523,813,1103,1393,1683],"native_values":[473,237,178,237,473,532],"rotation_degrees":48.206896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,237,178,237,473,532],"beta":{"interval_sums":[88558,82127,87673,83012,83543,82717],"interval_residues":[58,117,353,412,353,117],"display_cycle":[58,117,353,412,353,117],"intervals":[{"from_index":233,"to_index":523,"sum":88558,"residue":58},{"from_index":523,"to_index":813,"sum":82127,"residue":117},{"from_index":813,"to_index":1103,"sum":87673,"residue":353},{"from_index":1103,"to_index":1393,"sum":83012,"residue":412},{"from_index":1393,"to_index":1683,"sum":83543,"residue":353},{"from_index":1683,"to_index":233,"sum":82717,"residue":117}],"minimal_cycle":[58,117,353,412,353,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[233,523],"circle_positions":590,"cycle_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":[234,524,814,1104,1394,1684],"clock_positions":[234,524,814,1104,1394,1684],"native_values":[532,473,237,178,237,473],"rotation_degrees":48.41379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[532,473,237,178,237,473],"beta":{"interval_sums":[88263,81832,87673,83307,83838,82717],"interval_residues":[353,412,353,117,58,117],"display_cycle":[353,412,353,117,58,117],"intervals":[{"from_index":234,"to_index":524,"sum":88263,"residue":353},{"from_index":524,"to_index":814,"sum":81832,"residue":412},{"from_index":814,"to_index":1104,"sum":87673,"residue":353},{"from_index":1104,"to_index":1394,"sum":83307,"residue":117},{"from_index":1394,"to_index":1684,"sum":83838,"residue":58},{"from_index":1684,"to_index":234,"sum":82717,"residue":117}],"minimal_cycle":[353,412,353,117,58,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":353,"start_interval_clock_positions":[234,524],"circle_positions":590,"cycle_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":[235,525,815,1105,1395,1685],"clock_positions":[235,525,815,1105,1395,1685],"native_values":[415,120,415,415,120,415],"rotation_degrees":48.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[415,120,415],"beta":{"interval_sums":[88321,81949,87436,83129,84191,82834],"interval_residues":[411,529,116,529,411,234],"display_cycle":[411,529,116,529,411,234],"intervals":[{"from_index":235,"to_index":525,"sum":88321,"residue":411},{"from_index":525,"to_index":815,"sum":81949,"residue":529},{"from_index":815,"to_index":1105,"sum":87436,"residue":116},{"from_index":1105,"to_index":1395,"sum":83129,"residue":529},{"from_index":1395,"to_index":1685,"sum":84191,"residue":411},{"from_index":1685,"to_index":235,"sum":82834,"residue":234}],"minimal_cycle":[411,529,116,529,411,234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":411,"start_interval_clock_positions":[235,525],"circle_positions":590,"cycle_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":[236,526,816,1106,1396,1686],"clock_positions":[236,526,816,1106,1396,1686],"native_values":[357,3,62,3,357,298],"rotation_degrees":48.827586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,3,62,3,357,298],"beta":{"interval_sums":[88084,82361,87789,83246,84249,82951],"interval_residues":[174,351,469,56,469,351],"display_cycle":[174,351,469,56,469,351],"intervals":[{"from_index":236,"to_index":526,"sum":88084,"residue":174},{"from_index":526,"to_index":816,"sum":82361,"residue":351},{"from_index":816,"to_index":1106,"sum":87789,"residue":469},{"from_index":1106,"to_index":1396,"sum":83246,"residue":56},{"from_index":1396,"to_index":1686,"sum":84249,"residue":469},{"from_index":1686,"to_index":236,"sum":82951,"residue":351}],"minimal_cycle":[174,351,469,56,469,351],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[236,526],"circle_positions":590,"cycle_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":[237,527,817,1107,1397,1687],"clock_positions":[237,527,817,1107,1397,1687],"native_values":[182,123,477,418,477,123],"rotation_degrees":49.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[182,123,477,418,477,123],"beta":{"interval_sums":[87905,82300,87315,83185,84070,83185],"interval_residues":[585,290,585,585,290,585],"display_cycle":[585,290,585,585,290,585],"intervals":[{"from_index":237,"to_index":527,"sum":87905,"residue":585},{"from_index":527,"to_index":817,"sum":82300,"residue":290},{"from_index":817,"to_index":1107,"sum":87315,"residue":585},{"from_index":1107,"to_index":1397,"sum":83185,"residue":585},{"from_index":1397,"to_index":1687,"sum":84070,"residue":290},{"from_index":1687,"to_index":237,"sum":83185,"residue":585}],"minimal_cycle":[585,290,585],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":585,"start_interval_clock_positions":[237,527],"circle_positions":590,"cycle_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":[238,528,818,1108,1398,1688],"clock_positions":[238,528,818,1108,1398,1688],"native_values":[539,126,539,421,244,421],"rotation_degrees":49.241379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[539,126,539,421,244,421],"beta":{"interval_sums":[87489,82651,87194,83241,83949,82946],"interval_residues":[169,51,464,51,169,346],"display_cycle":[169,51,464,51,169,346],"intervals":[{"from_index":238,"to_index":528,"sum":87489,"residue":169},{"from_index":528,"to_index":818,"sum":82651,"residue":51},{"from_index":818,"to_index":1108,"sum":87194,"residue":464},{"from_index":1108,"to_index":1398,"sum":83241,"residue":51},{"from_index":1398,"to_index":1688,"sum":83949,"residue":169},{"from_index":1688,"to_index":238,"sum":82946,"residue":346}],"minimal_cycle":[169,51,464,51,169,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":169,"start_interval_clock_positions":[238,528],"circle_positions":590,"cycle_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":[239,529,819,1109,1399,1689],"clock_positions":[239,529,819,1109,1399,1689],"native_values":[131,249,426,249,131,544],"rotation_degrees":49.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,249,426,249,131,544],"beta":{"interval_sums":[87484,82941,87189,83236,84239,82941],"interval_residues":[164,341,459,46,459,341],"display_cycle":[164,341,459,46,459,341],"intervals":[{"from_index":239,"to_index":529,"sum":87484,"residue":164},{"from_index":529,"to_index":819,"sum":82941,"residue":341},{"from_index":819,"to_index":1109,"sum":87189,"residue":459},{"from_index":1109,"to_index":1399,"sum":83236,"residue":46},{"from_index":1399,"to_index":1689,"sum":84239,"residue":459},{"from_index":1689,"to_index":239,"sum":82941,"residue":341}],"minimal_cycle":[164,341,459,46,459,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[239,529],"circle_positions":590,"cycle_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":[240,530,820,1110,1400,1690],"clock_positions":[240,530,820,1110,1400,1690],"native_values":[80,375,375,80,375,375],"rotation_degrees":49.6551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[80,375,375],"beta":{"interval_sums":[87653,82992,87063,83287,84408,82697],"interval_residues":[333,392,333,97,38,97],"display_cycle":[333,392,333,97,38,97],"intervals":[{"from_index":240,"to_index":530,"sum":87653,"residue":333},{"from_index":530,"to_index":820,"sum":82992,"residue":392},{"from_index":820,"to_index":1110,"sum":87063,"residue":333},{"from_index":1110,"to_index":1400,"sum":83287,"residue":97},{"from_index":1400,"to_index":1690,"sum":84408,"residue":38},{"from_index":1690,"to_index":240,"sum":82697,"residue":97}],"minimal_cycle":[333,392,333,97,38,97],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":333,"start_interval_clock_positions":[240,530],"circle_positions":590,"cycle_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":[241,531,821,1111,1401,1691],"clock_positions":[241,531,821,1111,1401,1691],"native_values":[211,34,211,329,506,329],"rotation_degrees":49.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,34,211,329,506,329],"beta":{"interval_sums":[87817,83333,86932,83333,84277,82448],"interval_residues":[497,143,202,143,497,438],"display_cycle":[497,143,202,143,497,438],"intervals":[{"from_index":241,"to_index":531,"sum":87817,"residue":497},{"from_index":531,"to_index":821,"sum":83333,"residue":143},{"from_index":821,"to_index":1111,"sum":86932,"residue":202},{"from_index":1111,"to_index":1401,"sum":83333,"residue":143},{"from_index":1401,"to_index":1691,"sum":84277,"residue":497},{"from_index":1691,"to_index":241,"sum":82448,"residue":438}],"minimal_cycle":[497,143,202,143,497,438],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":497,"start_interval_clock_positions":[241,531],"circle_positions":590,"cycle_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":[242,532,822,1112,1402,1692],"clock_positions":[242,532,822,1112,1402,1692],"native_values":[291,409,586,409,291,114],"rotation_degrees":50.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,409,586,409,291,114],"beta":{"interval_sums":[87560,83135,86675,83430,84315,82545],"interval_residues":[240,535,535,240,535,535],"display_cycle":[240,535,535,240,535,535],"intervals":[{"from_index":242,"to_index":532,"sum":87560,"residue":240},{"from_index":532,"to_index":822,"sum":83135,"residue":535},{"from_index":822,"to_index":1112,"sum":86675,"residue":535},{"from_index":1112,"to_index":1402,"sum":83430,"residue":240},{"from_index":1402,"to_index":1692,"sum":84315,"residue":535},{"from_index":1692,"to_index":242,"sum":82545,"residue":535}],"minimal_cycle":[240,535,535],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[242,532],"circle_positions":590,"cycle_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":[243,533,823,1113,1403,1693],"clock_positions":[243,533,823,1113,1403,1693],"native_values":[502,443,207,148,207,443],"rotation_degrees":50.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,443,207,148,207,443],"beta":{"interval_sums":[87467,83278,86877,83573,84222,82393],"interval_residues":[147,88,147,383,442,383],"display_cycle":[147,88,147,383,442,383],"intervals":[{"from_index":243,"to_index":533,"sum":87467,"residue":147},{"from_index":533,"to_index":823,"sum":83278,"residue":88},{"from_index":823,"to_index":1113,"sum":86877,"residue":147},{"from_index":1113,"to_index":1403,"sum":83573,"residue":383},{"from_index":1403,"to_index":1693,"sum":84222,"residue":442},{"from_index":1693,"to_index":243,"sum":82393,"residue":383}],"minimal_cycle":[147,88,147,383,442,383],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":147,"start_interval_clock_positions":[243,533],"circle_positions":590,"cycle_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":[244,534,824,1114,1404,1694],"clock_positions":[244,534,824,1114,1404,1694],"native_values":[203,262,203,557,498,557],"rotation_degrees":50.48275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,262,203,557,498,557],"beta":{"interval_sums":[87707,83223,86822,83223,84167,82338],"interval_residues":[387,33,92,33,387,328],"display_cycle":[387,33,92,33,387,328],"intervals":[{"from_index":244,"to_index":534,"sum":87707,"residue":387},{"from_index":534,"to_index":824,"sum":83223,"residue":33},{"from_index":824,"to_index":1114,"sum":86822,"residue":92},{"from_index":1114,"to_index":1404,"sum":83223,"residue":33},{"from_index":1404,"to_index":1694,"sum":84167,"residue":387},{"from_index":1694,"to_index":244,"sum":82338,"residue":328}],"minimal_cycle":[387,33,92,33,387,328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":387,"start_interval_clock_positions":[244,534],"circle_positions":590,"cycle_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":[245,535,825,1115,1405,1695],"clock_positions":[245,535,825,1115,1405,1695],"native_values":[115,115,410,115,115,410],"rotation_degrees":50.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,115,410],"beta":{"interval_sums":[87854,83311,86969,83606,84609,82131],"interval_residues":[534,121,239,416,239,121],"display_cycle":[534,121,239,416,239,121],"intervals":[{"from_index":245,"to_index":535,"sum":87854,"residue":534},{"from_index":535,"to_index":825,"sum":83311,"residue":121},{"from_index":825,"to_index":1115,"sum":86969,"residue":239},{"from_index":1115,"to_index":1405,"sum":83606,"residue":416},{"from_index":1405,"to_index":1695,"sum":84609,"residue":239},{"from_index":1695,"to_index":245,"sum":82131,"residue":121}],"minimal_cycle":[534,121,239,416,239,121],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[245,535],"circle_positions":590,"cycle_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":[246,536,826,1116,1406,1696],"clock_positions":[246,536,826,1116,1406,1696],"native_values":[318,377,23,82,23,377],"rotation_degrees":50.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[318,377,23,82,23,377],"beta":{"interval_sums":[87651,83344,87061,83639,84996,81869],"interval_residues":[331,154,331,449,36,449],"display_cycle":[331,154,331,449,36,449],"intervals":[{"from_index":246,"to_index":536,"sum":87651,"residue":331},{"from_index":536,"to_index":826,"sum":83344,"residue":154},{"from_index":826,"to_index":1116,"sum":87061,"residue":331},{"from_index":1116,"to_index":1406,"sum":83639,"residue":449},{"from_index":1406,"to_index":1696,"sum":84996,"residue":36},{"from_index":1696,"to_index":246,"sum":81869,"residue":449}],"minimal_cycle":[331,154,331,449,36,449],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":331,"start_interval_clock_positions":[246,536],"circle_positions":590,"cycle_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":[247,537,827,1117,1407,1697],"clock_positions":[247,537,827,1117,1407,1697],"native_values":[433,492,433,197,138,197],"rotation_degrees":51.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,492,433,197,138,197],"beta":{"interval_sums":[87595,82875,86710,83465,85235,81990],"interval_residues":[275,275,570,275,275,570],"display_cycle":[275,275,570,275,275,570],"intervals":[{"from_index":247,"to_index":537,"sum":87595,"residue":275},{"from_index":537,"to_index":827,"sum":82875,"residue":275},{"from_index":827,"to_index":1117,"sum":86710,"residue":570},{"from_index":1117,"to_index":1407,"sum":83465,"residue":275},{"from_index":1407,"to_index":1697,"sum":85235,"residue":275},{"from_index":1697,"to_index":247,"sum":81990,"residue":570}],"minimal_cycle":[275,275,570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":275,"start_interval_clock_positions":[247,537],"circle_positions":590,"cycle_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":[248,538,828,1118,1408,1698],"clock_positions":[248,538,828,1118,1408,1698],"native_values":[161,279,456,279,161,574],"rotation_degrees":51.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,279,456,279,161,574],"beta":{"interval_sums":[87926,83029,86451,83324,85271,81849],"interval_residues":[16,429,311,134,311,429],"display_cycle":[16,429,311,134,311,429],"intervals":[{"from_index":248,"to_index":538,"sum":87926,"residue":16},{"from_index":538,"to_index":828,"sum":83029,"residue":429},{"from_index":828,"to_index":1118,"sum":86451,"residue":311},{"from_index":1118,"to_index":1408,"sum":83324,"residue":134},{"from_index":1408,"to_index":1698,"sum":85271,"residue":311},{"from_index":1698,"to_index":248,"sum":81849,"residue":429}],"minimal_cycle":[16,429,311,134,311,429],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[248,538],"circle_positions":590,"cycle_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":[249,539,829,1119,1409,1699],"clock_positions":[249,539,829,1119,1409,1699],"native_values":[4,181,299,476,299,181],"rotation_degrees":51.51724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[4,181,299,476,299,181],"beta":{"interval_sums":[88201,83304,86431,83009,85546,81829],"interval_residues":[291,114,291,409,586,409],"display_cycle":[291,114,291,409,586,409],"intervals":[{"from_index":249,"to_index":539,"sum":88201,"residue":291},{"from_index":539,"to_index":829,"sum":83304,"residue":114},{"from_index":829,"to_index":1119,"sum":86431,"residue":291},{"from_index":1119,"to_index":1409,"sum":83009,"residue":409},{"from_index":1409,"to_index":1699,"sum":85546,"residue":586},{"from_index":1699,"to_index":249,"sum":81829,"residue":409}],"minimal_cycle":[291,114,291,409,586,409],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":291,"start_interval_clock_positions":[249,539],"circle_positions":590,"cycle_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":[250,540,830,1120,1410,1700],"clock_positions":[250,540,830,1120,1410,1700],"native_values":[165,460,165,165,460,165],"rotation_degrees":51.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,460,165],"beta":{"interval_sums":[88217,83143,86742,83143,85267,81668],"interval_residues":[307,543,12,543,307,248],"display_cycle":[307,543,12,543,307,248],"intervals":[{"from_index":250,"to_index":540,"sum":88217,"residue":307},{"from_index":540,"to_index":830,"sum":83143,"residue":543},{"from_index":830,"to_index":1120,"sum":86742,"residue":12},{"from_index":1120,"to_index":1410,"sum":83143,"residue":543},{"from_index":1410,"to_index":1700,"sum":85267,"residue":307},{"from_index":1700,"to_index":250,"sum":81668,"residue":248}],"minimal_cycle":[307,543,12,543,307,248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":307,"start_interval_clock_positions":[250,540],"circle_positions":590,"cycle_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":[251,541,831,1121,1411,1701],"clock_positions":[251,541,831,1121,1411,1701],"native_values":[169,51,464,51,169,346],"rotation_degrees":51.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,51,464,51,169,346],"beta":{"interval_sums":[88508,83257,86443,83552,85263,81487],"interval_residues":[8,67,303,362,303,67],"display_cycle":[8,67,303,362,303,67],"intervals":[{"from_index":251,"to_index":541,"sum":88508,"residue":8},{"from_index":541,"to_index":831,"sum":83257,"residue":67},{"from_index":831,"to_index":1121,"sum":86443,"residue":303},{"from_index":1121,"to_index":1411,"sum":83552,"residue":362},{"from_index":1411,"to_index":1701,"sum":85263,"residue":303},{"from_index":1701,"to_index":251,"sum":81487,"residue":67}],"minimal_cycle":[8,67,303,362,303,67],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[251,541],"circle_positions":590,"cycle_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":[252,542,832,1122,1412,1702],"clock_positions":[252,542,832,1122,1412,1702],"native_values":[334,511,39,216,39,511],"rotation_degrees":52.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[334,511,39,216,39,511],"beta":{"interval_sums":[88225,83210,86455,83505,85570,81145],"interval_residues":[315,20,315,315,20,315],"display_cycle":[315,20,315,315,20,315],"intervals":[{"from_index":252,"to_index":542,"sum":88225,"residue":315},{"from_index":542,"to_index":832,"sum":83210,"residue":20},{"from_index":832,"to_index":1122,"sum":86455,"residue":315},{"from_index":1122,"to_index":1412,"sum":83505,"residue":315},{"from_index":1412,"to_index":1702,"sum":85570,"residue":20},{"from_index":1702,"to_index":252,"sum":81145,"residue":315}],"minimal_cycle":[315,20,315],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":315,"start_interval_clock_positions":[252,542],"circle_positions":590,"cycle_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":[253,543,833,1123,1413,1703],"clock_positions":[253,543,833,1123,1413,1703],"native_values":[503,562,503,267,208,267],"rotation_degrees":52.3448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[503,562,503,267,208,267],"beta":{"interval_sums":[88233,82687,86168,83277,85873,81212],"interval_residues":[323,87,28,87,323,382],"display_cycle":[323,87,28,87,323,382],"intervals":[{"from_index":253,"to_index":543,"sum":88233,"residue":323},{"from_index":543,"to_index":833,"sum":82687,"residue":87},{"from_index":833,"to_index":1123,"sum":86168,"residue":28},{"from_index":1123,"to_index":1413,"sum":83277,"residue":87},{"from_index":1413,"to_index":1703,"sum":85873,"residue":323},{"from_index":1703,"to_index":253,"sum":81212,"residue":382}],"minimal_cycle":[323,87,28,87,323,382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":323,"start_interval_clock_positions":[253,543],"circle_positions":590,"cycle_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":[254,544,834,1124,1414,1704],"clock_positions":[254,544,834,1124,1414,1704],"native_values":[247,483,542,483,247,188],"rotation_degrees":52.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,483,542,483,247,188],"beta":{"interval_sums":[88548,82707,85893,83002,85893,81527],"interval_residues":[48,107,343,402,343,107],"display_cycle":[48,107,343,402,343,107],"intervals":[{"from_index":254,"to_index":544,"sum":88548,"residue":48},{"from_index":544,"to_index":834,"sum":82707,"residue":107},{"from_index":834,"to_index":1124,"sum":85893,"residue":343},{"from_index":1124,"to_index":1414,"sum":83002,"residue":402},{"from_index":1414,"to_index":1704,"sum":85893,"residue":343},{"from_index":1704,"to_index":254,"sum":81527,"residue":107}],"minimal_cycle":[48,107,343,402,343,107],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":48,"start_interval_clock_positions":[254,544],"circle_positions":590,"cycle_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":[255,545,835,1125,1415,1705],"clock_positions":[255,545,835,1125,1415,1705],"native_values":[160,455,455,160,455,455],"rotation_degrees":52.758620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[160,455,455],"beta":{"interval_sums":[88871,82794,85921,83089,85626,81319],"interval_residues":[371,194,371,489,76,489],"display_cycle":[371,194,371,489,76,489],"intervals":[{"from_index":255,"to_index":545,"sum":88871,"residue":371},{"from_index":545,"to_index":835,"sum":82794,"residue":194},{"from_index":835,"to_index":1125,"sum":85921,"residue":371},{"from_index":1125,"to_index":1415,"sum":83089,"residue":489},{"from_index":1415,"to_index":1705,"sum":85626,"residue":76},{"from_index":1705,"to_index":255,"sum":81319,"residue":489}],"minimal_cycle":[371,194,371,489,76,489],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":371,"start_interval_clock_positions":[255,545],"circle_positions":590,"cycle_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":[256,546,836,1126,1416,1706],"clock_positions":[256,546,836,1126,1416,1706],"native_values":[407,348,407,53,112,53],"rotation_degrees":52.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[407,348,407,53,112,53],"beta":{"interval_sums":[88919,82901,85674,83491,85969,81426],"interval_residues":[419,301,124,301,419,6],"display_cycle":[419,301,124,301,419,6],"intervals":[{"from_index":256,"to_index":546,"sum":88919,"residue":419},{"from_index":546,"to_index":836,"sum":82901,"residue":301},{"from_index":836,"to_index":1126,"sum":85674,"residue":124},{"from_index":1126,"to_index":1416,"sum":83491,"residue":301},{"from_index":1416,"to_index":1706,"sum":85969,"residue":419},{"from_index":1706,"to_index":256,"sum":81426,"residue":6}],"minimal_cycle":[419,301,124,301,419,6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":419,"start_interval_clock_positions":[256,546],"circle_positions":590,"cycle_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":[257,547,837,1127,1417,1707],"clock_positions":[257,547,837,1127,1417,1707],"native_values":[567,213,272,213,567,508],"rotation_degrees":53.172413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,213,272,213,567,508],"beta":{"interval_sums":[88700,83095,85455,83390,85455,81325],"interval_residues":[200,495,495,200,495,495],"display_cycle":[200,495,495,200,495,495],"intervals":[{"from_index":257,"to_index":547,"sum":88700,"residue":200},{"from_index":547,"to_index":837,"sum":83095,"residue":495},{"from_index":837,"to_index":1127,"sum":85455,"residue":495},{"from_index":1127,"to_index":1417,"sum":83390,"residue":200},{"from_index":1417,"to_index":1707,"sum":85455,"residue":495},{"from_index":1707,"to_index":257,"sum":81325,"residue":495}],"minimal_cycle":[200,495,495],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[257,547],"circle_positions":590,"cycle_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":[258,548,838,1128,1418,1708],"clock_positions":[258,548,838,1128,1418,1708],"native_values":[384,561,89,266,89,561],"rotation_degrees":53.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[384,561,89,266,89,561],"beta":{"interval_sums":[88529,82806,85579,83691,85874,81331],"interval_residues":[29,206,29,501,324,501],"display_cycle":[29,206,29,501,324,501],"intervals":[{"from_index":258,"to_index":548,"sum":88529,"residue":29},{"from_index":548,"to_index":838,"sum":82806,"residue":206},{"from_index":838,"to_index":1128,"sum":85579,"residue":29},{"from_index":1128,"to_index":1418,"sum":83691,"residue":501},{"from_index":1418,"to_index":1708,"sum":85874,"residue":324},{"from_index":1708,"to_index":258,"sum":81331,"residue":501}],"minimal_cycle":[29,206,29,501,324,501],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":29,"start_interval_clock_positions":[258,548],"circle_positions":590,"cycle_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":[259,549,839,1129,1419,1709],"clock_positions":[259,549,839,1129,1419,1709],"native_values":[361,184,361,479,66,479],"rotation_degrees":53.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[361,184,361,479,66,479],"beta":{"interval_sums":[88729,82711,85484,83301,86369,81236],"interval_residues":[229,111,524,111,229,406],"display_cycle":[229,111,524,111,229,406],"intervals":[{"from_index":259,"to_index":549,"sum":88729,"residue":229},{"from_index":549,"to_index":839,"sum":82711,"residue":111},{"from_index":839,"to_index":1129,"sum":85484,"residue":524},{"from_index":1129,"to_index":1419,"sum":83301,"residue":111},{"from_index":1419,"to_index":1709,"sum":86369,"residue":229},{"from_index":1709,"to_index":259,"sum":81236,"residue":406}],"minimal_cycle":[229,111,524,111,229,406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":229,"start_interval_clock_positions":[259,549],"circle_positions":590,"cycle_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":[260,550,840,1130,1420,1710],"clock_positions":[260,550,840,1130,1420,1710],"native_values":[155,155,450,155,155,450],"rotation_degrees":53.793103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,155,450],"beta":{"interval_sums":[88758,82917,85513,83212,86693,81147],"interval_residues":[258,317,553,22,553,317],"display_cycle":[258,317,553,22,553,317],"intervals":[{"from_index":260,"to_index":550,"sum":88758,"residue":258},{"from_index":550,"to_index":840,"sum":82917,"residue":317},{"from_index":840,"to_index":1130,"sum":85513,"residue":553},{"from_index":1130,"to_index":1420,"sum":83212,"residue":22},{"from_index":1420,"to_index":1710,"sum":86693,"residue":553},{"from_index":1710,"to_index":260,"sum":81147,"residue":317}],"minimal_cycle":[258,317,553,22,553,317],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[260,550],"circle_positions":590,"cycle_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":[261,551,841,1131,1421,1711],"clock_positions":[261,551,841,1131,1421,1711],"native_values":[516,339,221,44,221,339],"rotation_degrees":54.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[516,339,221,44,221,339],"beta":{"interval_sums":[88397,83028,85447,83323,86922,80963],"interval_residues":[487,428,487,133,192,133],"display_cycle":[487,428,487,133,192,133],"intervals":[{"from_index":261,"to_index":551,"sum":88397,"residue":487},{"from_index":551,"to_index":841,"sum":83028,"residue":428},{"from_index":841,"to_index":1131,"sum":85447,"residue":487},{"from_index":1131,"to_index":1421,"sum":83323,"residue":133},{"from_index":1421,"to_index":1711,"sum":86922,"residue":192},{"from_index":1711,"to_index":261,"sum":80963,"residue":133}],"minimal_cycle":[487,428,487,133,192,133],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":487,"start_interval_clock_positions":[261,551],"circle_positions":590,"cycle_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":[262,552,842,1132,1422,1712],"clock_positions":[262,552,842,1132,1422,1712],"native_values":[81,494,81,199,376,199],"rotation_degrees":54.206896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,494,81,199,376,199],"beta":{"interval_sums":[88655,82755,85410,83345,86885,81280],"interval_residues":[155,155,450,155,155,450],"display_cycle":[155,155,450,155,155,450],"intervals":[{"from_index":262,"to_index":552,"sum":88655,"residue":155},{"from_index":552,"to_index":842,"sum":82755,"residue":155},{"from_index":842,"to_index":1132,"sum":85410,"residue":450},{"from_index":1132,"to_index":1422,"sum":83345,"residue":155},{"from_index":1422,"to_index":1712,"sum":86885,"residue":155},{"from_index":1712,"to_index":262,"sum":81280,"residue":450}],"minimal_cycle":[155,155,450],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":155,"start_interval_clock_positions":[262,552],"circle_positions":590,"cycle_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":[263,553,843,1133,1423,1713],"clock_positions":[263,553,843,1133,1423,1713],"native_values":[7,243,302,243,7,538],"rotation_degrees":54.41379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[7,243,302,243,7,538],"beta":{"interval_sums":[89142,82593,85307,83478,87077,80823],"interval_residues":[52,583,347,288,347,583],"display_cycle":[52,583,347,288,347,583],"intervals":[{"from_index":263,"to_index":553,"sum":89142,"residue":52},{"from_index":553,"to_index":843,"sum":82593,"residue":583},{"from_index":843,"to_index":1133,"sum":85307,"residue":347},{"from_index":1133,"to_index":1423,"sum":83478,"residue":288},{"from_index":1423,"to_index":1713,"sum":87077,"residue":347},{"from_index":1713,"to_index":263,"sum":80823,"residue":583}],"minimal_cycle":[52,583,347,288,347,583],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[263,553],"circle_positions":590,"cycle_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":[264,554,844,1134,1424,1714],"clock_positions":[264,554,844,1134,1424,1714],"native_values":[88,147,383,442,383,147],"rotation_degrees":54.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[88,147,383,442,383,147],"beta":{"interval_sums":[89297,82748,85167,83043,87232,80683],"interval_residues":[207,148,207,443,502,443],"display_cycle":[207,148,207,443,502,443],"intervals":[{"from_index":264,"to_index":554,"sum":89297,"residue":207},{"from_index":554,"to_index":844,"sum":82748,"residue":148},{"from_index":844,"to_index":1134,"sum":85167,"residue":207},{"from_index":1134,"to_index":1424,"sum":83043,"residue":443},{"from_index":1424,"to_index":1714,"sum":87232,"residue":502},{"from_index":1714,"to_index":264,"sum":80683,"residue":443}],"minimal_cycle":[207,148,207,443,502,443],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":207,"start_interval_clock_positions":[264,554],"circle_positions":590,"cycle_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":[265,555,845,1135,1425,1715],"clock_positions":[265,555,845,1135,1425,1715],"native_values":[95,390,95,95,390,95],"rotation_degrees":54.827586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,390,95],"beta":{"interval_sums":[89349,82741,85514,83331,86989,80676],"interval_residues":[259,141,554,141,259,436],"display_cycle":[259,141,554,141,259,436],"intervals":[{"from_index":265,"to_index":555,"sum":89349,"residue":259},{"from_index":555,"to_index":845,"sum":82741,"residue":141},{"from_index":845,"to_index":1135,"sum":85514,"residue":554},{"from_index":1135,"to_index":1425,"sum":83331,"residue":141},{"from_index":1425,"to_index":1715,"sum":86989,"residue":259},{"from_index":1715,"to_index":265,"sum":80676,"residue":436}],"minimal_cycle":[259,141,554,141,259,436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":259,"start_interval_clock_positions":[265,555],"circle_positions":590,"cycle_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":[266,556,846,1136,1426,1716],"clock_positions":[266,556,846,1136,1426,1716],"native_values":[183,537,478,537,183,242],"rotation_degrees":55.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[183,537,478,537,183,242],"beta":{"interval_sums":[89556,82299,85131,83184,86901,80529],"interval_residues":[466,289,171,584,171,289],"display_cycle":[466,289,171,584,171,289],"intervals":[{"from_index":266,"to_index":556,"sum":89556,"residue":466},{"from_index":556,"to_index":846,"sum":82299,"residue":289},{"from_index":846,"to_index":1136,"sum":85131,"residue":171},{"from_index":1136,"to_index":1426,"sum":83184,"residue":584},{"from_index":1426,"to_index":1716,"sum":86901,"residue":171},{"from_index":1716,"to_index":266,"sum":80529,"residue":289}],"minimal_cycle":[466,289,171,584,171,289],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[266,556],"circle_positions":590,"cycle_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":[267,557,847,1137,1427,1717],"clock_positions":[267,557,847,1137,1427,1717],"native_values":[278,337,573,42,573,337],"rotation_degrees":55.241379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,337,573,42,573,337],"beta":{"interval_sums":[89815,82440,85095,83325,86570,80375],"interval_residues":[135,430,135,135,430,135],"display_cycle":[135,430,135,135,430,135],"intervals":[{"from_index":267,"to_index":557,"sum":89815,"residue":135},{"from_index":557,"to_index":847,"sum":82440,"residue":430},{"from_index":847,"to_index":1137,"sum":85095,"residue":135},{"from_index":1137,"to_index":1427,"sum":83325,"residue":135},{"from_index":1427,"to_index":1717,"sum":86570,"residue":430},{"from_index":1717,"to_index":267,"sum":80375,"residue":135}],"minimal_cycle":[135,430,135],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":135,"start_interval_clock_positions":[267,557],"circle_positions":590,"cycle_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":[268,558,848,1138,1428,1718],"clock_positions":[268,558,848,1138,1428,1718],"native_values":[461,284,461,579,166,579],"rotation_degrees":55.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,284,461,579,166,579],"beta":{"interval_sums":[89691,82729,84676,83319,86741,80074],"interval_residues":[11,129,306,129,11,424],"display_cycle":[11,129,306,129,11,424],"intervals":[{"from_index":268,"to_index":558,"sum":89691,"residue":11},{"from_index":558,"to_index":848,"sum":82729,"residue":129},{"from_index":848,"to_index":1138,"sum":84676,"residue":306},{"from_index":1138,"to_index":1428,"sum":83319,"residue":129},{"from_index":1428,"to_index":1718,"sum":86741,"residue":11},{"from_index":1718,"to_index":268,"sum":80074,"residue":424}],"minimal_cycle":[11,129,306,129,11,424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":11,"start_interval_clock_positions":[268,558],"circle_positions":590,"cycle_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":[269,559,849,1139,1429,1719],"clock_positions":[269,559,849,1139,1429,1719],"native_values":[149,31,444,31,149,326],"rotation_degrees":55.6551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,31,444,31,149,326],"beta":{"interval_sums":[89826,83159,84811,83454,87171,80209],"interval_residues":[146,559,441,264,441,559],"display_cycle":[146,559,441,264,441,559],"intervals":[{"from_index":269,"to_index":559,"sum":89826,"residue":146},{"from_index":559,"to_index":849,"sum":83159,"residue":559},{"from_index":849,"to_index":1139,"sum":84811,"residue":441},{"from_index":1139,"to_index":1429,"sum":83454,"residue":264},{"from_index":1429,"to_index":1719,"sum":87171,"residue":441},{"from_index":1719,"to_index":269,"sum":80209,"residue":559}],"minimal_cycle":[146,559,441,264,441,559],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[269,559],"circle_positions":590,"cycle_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":[270,560,850,1140,1430,1720],"clock_positions":[270,560,850,1140,1430,1720],"native_values":[20,315,315,20,315,315],"rotation_degrees":55.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[20,315,315],"beta":{"interval_sums":[89837,83288,84527,83583,87182,80043],"interval_residues":[157,98,157,393,452,393],"display_cycle":[157,98,157,393,452,393],"intervals":[{"from_index":270,"to_index":560,"sum":89837,"residue":157},{"from_index":560,"to_index":850,"sum":83288,"residue":98},{"from_index":850,"to_index":1140,"sum":84527,"residue":157},{"from_index":1140,"to_index":1430,"sum":83583,"residue":393},{"from_index":1430,"to_index":1720,"sum":87182,"residue":452},{"from_index":1720,"to_index":270,"sum":80043,"residue":393}],"minimal_cycle":[157,98,157,393,452,393],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":157,"start_interval_clock_positions":[270,560],"circle_positions":590,"cycle_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":[271,561,851,1141,1431,1721],"clock_positions":[271,561,851,1141,1431,1721],"native_values":[169,346,169,51,464,51],"rotation_degrees":56.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,346,169,51,464,51],"beta":{"interval_sums":[89983,83257,84378,83847,87033,80012],"interval_residues":[303,67,8,67,303,362],"display_cycle":[303,67,8,67,303,362],"intervals":[{"from_index":271,"to_index":561,"sum":89983,"residue":303},{"from_index":561,"to_index":851,"sum":83257,"residue":67},{"from_index":851,"to_index":1141,"sum":84378,"residue":8},{"from_index":1141,"to_index":1431,"sum":83847,"residue":67},{"from_index":1431,"to_index":1721,"sum":87033,"residue":303},{"from_index":1721,"to_index":271,"sum":80012,"residue":362}],"minimal_cycle":[303,67,8,67,303,362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":303,"start_interval_clock_positions":[271,561],"circle_positions":590,"cycle_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":[272,562,852,1142,1432,1722],"clock_positions":[272,562,852,1142,1432,1722],"native_values":[189,71,484,71,189,366],"rotation_degrees":56.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[189,71,484,71,189,366],"beta":{"interval_sums":[90140,83355,83945,84240,86895,79815],"interval_residues":[460,165,165,460,165,165],"display_cycle":[460,165,165,460,165,165],"intervals":[{"from_index":272,"to_index":562,"sum":90140,"residue":460},{"from_index":562,"to_index":852,"sum":83355,"residue":165},{"from_index":852,"to_index":1142,"sum":83945,"residue":165},{"from_index":1142,"to_index":1432,"sum":84240,"residue":460},{"from_index":1432,"to_index":1722,"sum":86895,"residue":165},{"from_index":1722,"to_index":272,"sum":79815,"residue":165}],"minimal_cycle":[460,165,165],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":460,"start_interval_clock_positions":[272,562],"circle_positions":590,"cycle_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":[273,563,853,1143,1433,1723],"clock_positions":[273,563,853,1143,1433,1723],"native_values":[358,417,63,122,63,417],"rotation_degrees":56.48275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[358,417,63,122,63,417],"beta":{"interval_sums":[89853,83422,83953,84307,87198,79587],"interval_residues":[173,232,173,527,468,527],"display_cycle":[173,232,173,527,468,527],"intervals":[{"from_index":273,"to_index":563,"sum":89853,"residue":173},{"from_index":563,"to_index":853,"sum":83422,"residue":232},{"from_index":853,"to_index":1143,"sum":83953,"residue":173},{"from_index":1143,"to_index":1433,"sum":84307,"residue":527},{"from_index":1433,"to_index":1723,"sum":87198,"residue":468},{"from_index":1723,"to_index":273,"sum":79587,"residue":527}],"minimal_cycle":[173,232,173,527,468,527],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":173,"start_interval_clock_positions":[273,563],"circle_positions":590,"cycle_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":[274,564,854,1144,1434,1724],"clock_positions":[274,564,854,1144,1434,1724],"native_values":[547,488,547,193,252,193],"rotation_degrees":56.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[547,488,547,193,252,193],"beta":{"interval_sums":[89723,82997,83528,84177,87363,79752],"interval_residues":[43,397,338,397,43,102],"display_cycle":[43,397,338,397,43,102],"intervals":[{"from_index":274,"to_index":564,"sum":89723,"residue":43},{"from_index":564,"to_index":854,"sum":82997,"residue":397},{"from_index":854,"to_index":1144,"sum":83528,"residue":338},{"from_index":1144,"to_index":1434,"sum":84177,"residue":397},{"from_index":1434,"to_index":1724,"sum":87363,"residue":43},{"from_index":1724,"to_index":274,"sum":79752,"residue":102}],"minimal_cycle":[43,397,338,397,43,102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":43,"start_interval_clock_positions":[274,564],"circle_positions":590,"cycle_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":[275,565,855,1145,1435,1725],"clock_positions":[275,565,855,1145,1435,1725],"native_values":[315,315,20,315,315,20],"rotation_degrees":56.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[315,315,20],"beta":{"interval_sums":[89896,83229,83701,84114,87241,80279],"interval_residues":[216,39,511,334,511,39],"display_cycle":[216,39,511,334,511,39],"intervals":[{"from_index":275,"to_index":565,"sum":89896,"residue":216},{"from_index":565,"to_index":855,"sum":83229,"residue":39},{"from_index":855,"to_index":1145,"sum":83701,"residue":511},{"from_index":1145,"to_index":1435,"sum":84114,"residue":334},{"from_index":1435,"to_index":1725,"sum":87241,"residue":511},{"from_index":1725,"to_index":275,"sum":80279,"residue":39}],"minimal_cycle":[216,39,511,334,511,39],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[275,565],"circle_positions":590,"cycle_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":[276,566,856,1146,1436,1726],"clock_positions":[276,566,856,1146,1436,1726],"native_values":[272,213,567,508,567,213],"rotation_degrees":57.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[272,213,567,508,567,213],"beta":{"interval_sums":[89939,83036,83449,83921,86694,80381],"interval_residues":[259,436,259,141,554,141],"display_cycle":[259,436,259,141,554,141],"intervals":[{"from_index":276,"to_index":566,"sum":89939,"residue":259},{"from_index":566,"to_index":856,"sum":83036,"residue":436},{"from_index":856,"to_index":1146,"sum":83449,"residue":259},{"from_index":1146,"to_index":1436,"sum":83921,"residue":141},{"from_index":1436,"to_index":1726,"sum":86694,"residue":554},{"from_index":1726,"to_index":276,"sum":80381,"residue":141}],"minimal_cycle":[259,436,259,141,554,141],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":259,"start_interval_clock_positions":[276,566],"circle_positions":590,"cycle_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":[277,567,857,1147,1437,1727],"clock_positions":[277,567,857,1147,1437,1727],"native_values":[587,528,587,233,292,233],"rotation_degrees":57.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,528,587,233,292,233],"beta":{"interval_sums":[89565,83075,83370,84255,86615,80420],"interval_residues":[475,475,180,475,475,180],"display_cycle":[475,475,180,475,475,180],"intervals":[{"from_index":277,"to_index":567,"sum":89565,"residue":475},{"from_index":567,"to_index":857,"sum":83075,"residue":475},{"from_index":857,"to_index":1147,"sum":83370,"residue":180},{"from_index":1147,"to_index":1437,"sum":84255,"residue":475},{"from_index":1437,"to_index":1727,"sum":86615,"residue":475},{"from_index":1727,"to_index":277,"sum":80420,"residue":180}],"minimal_cycle":[475,475,180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":475,"start_interval_clock_positions":[277,567],"circle_positions":590,"cycle_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":[278,568,858,1148,1438,1728],"clock_positions":[278,568,858,1148,1438,1728],"native_values":[269,151,564,151,269,446],"rotation_degrees":57.51724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[269,151,564,151,269,446],"beta":{"interval_sums":[89824,83511,83039,84396,86579,80561],"interval_residues":[144,321,439,26,439,321],"display_cycle":[144,321,439,26,439,321],"intervals":[{"from_index":278,"to_index":568,"sum":89824,"residue":144},{"from_index":568,"to_index":858,"sum":83511,"residue":321},{"from_index":858,"to_index":1148,"sum":83039,"residue":439},{"from_index":1148,"to_index":1438,"sum":84396,"residue":26},{"from_index":1438,"to_index":1728,"sum":86579,"residue":439},{"from_index":1728,"to_index":278,"sum":80561,"residue":321}],"minimal_cycle":[144,321,439,26,439,321],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[278,568],"circle_positions":590,"cycle_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":[279,569,859,1149,1439,1729],"clock_positions":[279,569,859,1149,1439,1729],"native_values":[266,89,561,384,561,89],"rotation_degrees":57.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[266,89,561,384,561,89],"beta":{"interval_sums":[89709,83986,82629,84281,86464,80741],"interval_residues":[29,206,29,501,324,501],"display_cycle":[29,206,29,501,324,501],"intervals":[{"from_index":279,"to_index":569,"sum":89709,"residue":29},{"from_index":569,"to_index":859,"sum":83986,"residue":206},{"from_index":859,"to_index":1149,"sum":82629,"residue":29},{"from_index":1149,"to_index":1439,"sum":84281,"residue":501},{"from_index":1439,"to_index":1729,"sum":86464,"residue":324},{"from_index":1729,"to_index":279,"sum":80741,"residue":501}],"minimal_cycle":[29,206,29,501,324,501],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":29,"start_interval_clock_positions":[279,569],"circle_positions":590,"cycle_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":[280,570,860,1150,1440,1730],"clock_positions":[280,570,860,1150,1440,1730],"native_values":[535,240,535,535,240,535],"rotation_degrees":57.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[535,240,535],"beta":{"interval_sums":[89263,84307,82478,84307,86313,80472],"interval_residues":[173,527,468,527,173,232],"display_cycle":[173,527,468,527,173,232],"intervals":[{"from_index":280,"to_index":570,"sum":89263,"residue":173},{"from_index":570,"to_index":860,"sum":84307,"residue":527},{"from_index":860,"to_index":1150,"sum":82478,"residue":468},{"from_index":1150,"to_index":1440,"sum":84307,"residue":527},{"from_index":1440,"to_index":1730,"sum":86313,"residue":173},{"from_index":1730,"to_index":280,"sum":80472,"residue":232}],"minimal_cycle":[173,527,468,527,173,232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":173,"start_interval_clock_positions":[280,570],"circle_positions":590,"cycle_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":[281,571,861,1151,1441,1731],"clock_positions":[281,571,861,1151,1441,1731],"native_values":[211,329,506,329,211,34],"rotation_degrees":58.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,329,506,329,211,34],"beta":{"interval_sums":[89292,84513,82507,84218,86637,80973],"interval_residues":[202,143,497,438,497,143],"display_cycle":[202,143,497,438,497,143],"intervals":[{"from_index":281,"to_index":571,"sum":89292,"residue":202},{"from_index":571,"to_index":861,"sum":84513,"residue":143},{"from_index":861,"to_index":1151,"sum":82507,"residue":497},{"from_index":1151,"to_index":1441,"sum":84218,"residue":438},{"from_index":1441,"to_index":1731,"sum":86637,"residue":497},{"from_index":1731,"to_index":281,"sum":80973,"residue":143}],"minimal_cycle":[202,143,497,438,497,143],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[281,571],"circle_positions":590,"cycle_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":[282,572,862,1152,1442,1732],"clock_positions":[282,572,862,1152,1442,1732],"native_values":[156,569,451,274,451,569],"rotation_degrees":58.3448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[156,569,451,274,451,569],"beta":{"interval_sums":[89465,84450,82385,84155,86220,80615],"interval_residues":[375,80,375,375,80,375],"display_cycle":[375,80,375,375,80,375],"intervals":[{"from_index":282,"to_index":572,"sum":89465,"residue":375},{"from_index":572,"to_index":862,"sum":84450,"residue":80},{"from_index":862,"to_index":1152,"sum":82385,"residue":375},{"from_index":1152,"to_index":1442,"sum":84155,"residue":375},{"from_index":1442,"to_index":1732,"sum":86220,"residue":80},{"from_index":1732,"to_index":282,"sum":80615,"residue":375}],"minimal_cycle":[375,80,375],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":375,"start_interval_clock_positions":[282,572],"circle_positions":590,"cycle_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":[283,573,863,1153,1443,1733],"clock_positions":[283,573,863,1153,1443,1733],"native_values":[367,308,367,13,72,13],"rotation_degrees":58.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[367,308,367,13,72,13],"beta":{"interval_sums":[89667,84593,82292,84593,86717,80758],"interval_residues":[577,223,282,223,577,518],"display_cycle":[577,223,282,223,577,518],"intervals":[{"from_index":283,"to_index":573,"sum":89667,"residue":577},{"from_index":573,"to_index":863,"sum":84593,"residue":223},{"from_index":863,"to_index":1153,"sum":82292,"residue":282},{"from_index":1153,"to_index":1443,"sum":84593,"residue":223},{"from_index":1443,"to_index":1733,"sum":86717,"residue":577},{"from_index":1733,"to_index":283,"sum":80758,"residue":518}],"minimal_cycle":[577,223,282,223,577,518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":577,"start_interval_clock_positions":[283,573],"circle_positions":590,"cycle_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":[284,574,864,1154,1444,1734],"clock_positions":[284,574,864,1154,1444,1734],"native_values":[523,287,228,287,523,582],"rotation_degrees":58.758620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,287,228,287,523,582],"beta":{"interval_sums":[89452,84673,82077,84378,86207,80543],"interval_residues":[362,303,67,8,67,303],"display_cycle":[362,303,67,8,67,303],"intervals":[{"from_index":284,"to_index":574,"sum":89452,"residue":362},{"from_index":574,"to_index":864,"sum":84673,"residue":303},{"from_index":864,"to_index":1154,"sum":82077,"residue":67},{"from_index":1154,"to_index":1444,"sum":84378,"residue":8},{"from_index":1444,"to_index":1734,"sum":86207,"residue":67},{"from_index":1734,"to_index":284,"sum":80543,"residue":303}],"minimal_cycle":[362,303,67,8,67,303],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[284,574],"circle_positions":590,"cycle_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":[285,575,865,1155,1445,1735],"clock_positions":[285,575,865,1155,1445,1735],"native_values":[300,5,5,300,5,5],"rotation_degrees":58.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,5,5],"beta":{"interval_sums":[89439,84896,82359,84601,86784,81061],"interval_residues":[349,526,349,231,54,231],"display_cycle":[349,526,349,231,54,231],"intervals":[{"from_index":285,"to_index":575,"sum":89439,"residue":349},{"from_index":575,"to_index":865,"sum":84896,"residue":526},{"from_index":865,"to_index":1155,"sum":82359,"residue":349},{"from_index":1155,"to_index":1445,"sum":84601,"residue":231},{"from_index":1445,"to_index":1735,"sum":86784,"residue":54},{"from_index":1735,"to_index":285,"sum":81061,"residue":231}],"minimal_cycle":[349,526,349,231,54,231],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":349,"start_interval_clock_positions":[285,575],"circle_positions":590,"cycle_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":[286,576,866,1156,1446,1736],"clock_positions":[286,576,866,1156,1446,1736],"native_values":[233,292,233,587,528,587],"rotation_degrees":59.172413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,292,233,587,528,587],"beta":{"interval_sums":[89211,84609,82426,84019,86261,80774],"interval_residues":[121,239,416,239,121,534],"display_cycle":[121,239,416,239,121,534],"intervals":[{"from_index":286,"to_index":576,"sum":89211,"residue":121},{"from_index":576,"to_index":866,"sum":84609,"residue":239},{"from_index":866,"to_index":1156,"sum":82426,"residue":416},{"from_index":1156,"to_index":1446,"sum":84019,"residue":239},{"from_index":1446,"to_index":1736,"sum":86261,"residue":121},{"from_index":1736,"to_index":286,"sum":80774,"residue":534}],"minimal_cycle":[121,239,416,239,121,534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":121,"start_interval_clock_positions":[286,576],"circle_positions":590,"cycle_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":[287,577,867,1157,1447,1737],"clock_positions":[287,577,867,1157,1447,1737],"native_values":[533,297,238,297,533,2],"rotation_degrees":59.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[533,297,238,297,533,2],"beta":{"interval_sums":[88970,84545,82775,84250,86315,81005],"interval_residues":[470,175,175,470,175,175],"display_cycle":[470,175,175,470,175,175],"intervals":[{"from_index":287,"to_index":577,"sum":88970,"residue":470},{"from_index":577,"to_index":867,"sum":84545,"residue":175},{"from_index":867,"to_index":1157,"sum":82775,"residue":175},{"from_index":1157,"to_index":1447,"sum":84250,"residue":470},{"from_index":1447,"to_index":1737,"sum":86315,"residue":175},{"from_index":1737,"to_index":287,"sum":81005,"residue":175}],"minimal_cycle":[470,175,175],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[287,577],"circle_positions":590,"cycle_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":[288,578,868,1158,1448,1738],"clock_positions":[288,578,868,1158,1448,1738],"native_values":[176,589,471,294,471,589],"rotation_degrees":59.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[176,589,471,294,471,589],"beta":{"interval_sums":[89091,84194,82601,84489,85846,80949],"interval_residues":[1,414,1,119,296,119],"display_cycle":[1,414,1,119,296,119],"intervals":[{"from_index":288,"to_index":578,"sum":89091,"residue":1},{"from_index":578,"to_index":868,"sum":84194,"residue":414},{"from_index":868,"to_index":1158,"sum":82601,"residue":1},{"from_index":1158,"to_index":1448,"sum":84489,"residue":119},{"from_index":1448,"to_index":1738,"sum":85846,"residue":296},{"from_index":1738,"to_index":288,"sum":80949,"residue":119}],"minimal_cycle":[1,414,1,119,296,119],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[288,578],"circle_positions":590,"cycle_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":[289,579,869,1159,1449,1739],"clock_positions":[289,579,869,1159,1449,1739],"native_values":[119,296,119,1,414,1],"rotation_degrees":59.793103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,296,119,1,414,1],"beta":{"interval_sums":[89561,84369,82776,84959,86021,81124],"interval_residues":[471,589,176,589,471,294],"display_cycle":[471,589,176,589,471,294],"intervals":[{"from_index":289,"to_index":579,"sum":89561,"residue":471},{"from_index":579,"to_index":869,"sum":84369,"residue":589},{"from_index":869,"to_index":1159,"sum":82776,"residue":176},{"from_index":1159,"to_index":1449,"sum":84959,"residue":589},{"from_index":1449,"to_index":1739,"sum":86021,"residue":471},{"from_index":1739,"to_index":289,"sum":81124,"residue":294}],"minimal_cycle":[471,589,176,589,471,294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":471,"start_interval_clock_positions":[289,579],"circle_positions":590,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]}],"notable_gamma_patterns":[{"formation_id":"6-nodes-offset-0","shape":"Hexagon","values":[590,295,295,590,295,295],"rotation_degrees":0.0,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-5","shape":"Hexagon","values":[5,5,300,5,5,300],"rotation_degrees":1.0344827586206897,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-10","shape":"Hexagon","values":[55,350,55,55,350,55],"rotation_degrees":2.0689655172413794,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-15","shape":"Hexagon","values":[20,315,315,20,315,315],"rotation_degrees":3.103448275862069,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-20","shape":"Hexagon","values":[275,275,570,275,275,570],"rotation_degrees":4.137931034482759,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-25","shape":"Hexagon","values":[95,390,95,95,390,95],"rotation_degrees":5.172413793103448,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-30","shape":"Hexagon","values":[140,435,435,140,435,435],"rotation_degrees":6.206896551724138,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-35","shape":"Hexagon","values":[455,455,160,455,455,160],"rotation_degrees":7.241379310344827,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-40","shape":"Hexagon","values":[425,130,425,425,130,425],"rotation_degrees":8.275862068965518,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-45","shape":"Hexagon","values":[410,115,115,410,115,115],"rotation_degrees":9.310344827586206,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-50","shape":"Hexagon","values":[215,215,510,215,215,510],"rotation_degrees":10.344827586206897,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-55","shape":"Hexagon","values":[415,120,415,415,120,415],"rotation_degrees":11.379310344827585,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-60","shape":"Hexagon","values":[60,355,355,60,355,355],"rotation_degrees":12.413793103448276,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-65","shape":"Hexagon","values":[485,485,190,485,485,190],"rotation_degrees":13.448275862068966,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-70","shape":"Hexagon","values":[85,380,85,85,380,85],"rotation_degrees":14.482758620689655,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-75","shape":"Hexagon","values":[240,535,535,240,535,535],"rotation_degrees":15.517241379310345,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-80","shape":"Hexagon","values":[365,365,70,365,365,70],"rotation_degrees":16.551724137931036,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-85","shape":"Hexagon","values":[125,420,125,125,420,125],"rotation_degrees":17.586206896551722,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-90","shape":"Hexagon","values":[560,265,265,560,265,265],"rotation_degrees":18.620689655172413,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-95","shape":"Hexagon","values":[385,385,90,385,385,90],"rotation_degrees":19.655172413793103,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-100","shape":"Hexagon","values":[75,370,75,75,370,75],"rotation_degrees":20.689655172413794,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-105","shape":"Hexagon","values":[30,325,325,30,325,325],"rotation_degrees":21.724137931034484,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-110","shape":"Hexagon","values":[405,405,110,405,405,110],"rotation_degrees":22.75862068965517,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-115","shape":"Hexagon","values":[355,60,355,355,60,355],"rotation_degrees":23.79310344827586,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-120","shape":"Hexagon","values":[180,475,475,180,475,475],"rotation_degrees":24.82758620689655,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-125","shape":"Hexagon","values":[565,565,270,565,565,270],"rotation_degrees":25.862068965517242,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-130","shape":"Hexagon","values":[495,200,495,495,200,495],"rotation_degrees":26.896551724137932,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-135","shape":"Hexagon","values":[110,405,405,110,405,405],"rotation_degrees":27.93103448275862,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-140","shape":"Hexagon","values":[525,525,230,525,525,230],"rotation_degrees":28.96551724137931,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-145","shape":"Hexagon","values":[575,280,575,575,280,575],"rotation_degrees":30.0,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-150","shape":"Hexagon","values":[360,65,65,360,65,65],"rotation_degrees":31.03448275862069,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-155","shape":"Hexagon","values":[405,405,110,405,405,110],"rotation_degrees":32.06896551724138,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-160","shape":"Hexagon","values":[95,390,95,95,390,95],"rotation_degrees":33.10344827586207,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-165","shape":"Hexagon","values":[270,565,565,270,565,565],"rotation_degrees":34.13793103448276,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-170","shape":"Hexagon","values":[115,115,410,115,115,410],"rotation_degrees":35.172413793103445,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-175","shape":"Hexagon","values":[355,60,355,355,60,355],"rotation_degrees":36.206896551724135,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-180","shape":"Hexagon","values":[480,185,185,480,185,185],"rotation_degrees":37.241379310344826,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-185","shape":"Hexagon","values":[325,325,30,325,325,30],"rotation_degrees":38.275862068965516,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-190","shape":"Hexagon","values":[515,220,515,515,220,515],"rotation_degrees":39.310344827586206,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-195","shape":"Hexagon","values":[90,385,385,90,385,385],"rotation_degrees":40.3448275862069,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-200","shape":"Hexagon","values":[325,325,30,325,325,30],"rotation_degrees":41.37931034482759,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-205","shape":"Hexagon","values":[125,420,125,125,420,125],"rotation_degrees":42.41379310344828,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-210","shape":"Hexagon","values":[520,225,225,520,225,225],"rotation_degrees":43.44827586206897,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-215","shape":"Hexagon","values":[535,535,240,535,535,240],"rotation_degrees":44.48275862068966,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-220","shape":"Hexagon","values":[505,210,505,505,210,505],"rotation_degrees":45.51724137931034,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-225","shape":"Hexagon","values":[190,485,485,190,485,485],"rotation_degrees":46.55172413793103,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-230","shape":"Hexagon","values":[235,235,530,235,235,530],"rotation_degrees":47.58620689655172,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-235","shape":"Hexagon","values":[415,120,415,415,120,415],"rotation_degrees":48.62068965517241,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-240","shape":"Hexagon","values":[80,375,375,80,375,375],"rotation_degrees":49.6551724137931,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-245","shape":"Hexagon","values":[115,115,410,115,115,410],"rotation_degrees":50.689655172413794,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-250","shape":"Hexagon","values":[165,460,165,165,460,165],"rotation_degrees":51.724137931034484,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-255","shape":"Hexagon","values":[160,455,455,160,455,455],"rotation_degrees":52.758620689655174,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-260","shape":"Hexagon","values":[155,155,450,155,155,450],"rotation_degrees":53.793103448275865,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-265","shape":"Hexagon","values":[95,390,95,95,390,95],"rotation_degrees":54.827586206896555,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-270","shape":"Hexagon","values":[20,315,315,20,315,315],"rotation_degrees":55.86206896551724,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-275","shape":"Hexagon","values":[315,315,20,315,315,20],"rotation_degrees":56.89655172413793,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-280","shape":"Hexagon","values":[535,240,535,535,240,535],"rotation_degrees":57.93103448275862,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-285","shape":"Hexagon","values":[300,5,5,300,5,5],"rotation_degrees":58.96551724137931,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"}],"research":{"focus":"OXTR gene expression","biological_significance_status":"Not yet assessed","statistical_significance_status":"Not yet assessed","quantum_annealing_status":"Not yet performed","tiers":[{"name":"Creates cellular life","range":[8,10],"wss_score":null,"evidence":[]},{"name":"Supports cellular life","range":[5,7],"wss_score":null,"evidence":[]},{"name":"Creates elemental life","range":[1,4],"wss_score":null,"evidence":[]}],"background_literature":{"register_id":"oxtr-phase1-literature","register_version":"2026-10-18.1","register_file":"research-register.json","relationship":"background_context","scope":"Shared background literature for the initial OXTR research programme across M1–M1001. Studies of related mechanisms in other systems provide context for investigation.","publication_ids":["E01","E02","E03","E04","E05","E06","E07","E08","E09","E10","E11","E12","E13","E14"],"hero_publication_ids":["E03","E06","E08","E11"],"modulus_relevance_status":"Not yet assessed"}},"verification":{"python":"Passed","wolfram":"Passed","scope":"Native period, sequences, regular polygon index spacing and reference Epsilon routes; no physical or biological validation.","wolfram_scope":"Native Pisano period; complete Alpha, primary Gamma indices, Beta interval sums and residues, primary equilateral-triangle and hexagon indices. Independent integer Fibonacci evaluation and SHA-256 comparisons. Extended catalogue, Chevron and native/cycle-based Epsilon are Python-checked.","evidence":"m1001-verification.json"},"reduction_to_m9":{"version":"m9-reduction-v1","target_modulus":9,"status":"Outside divisible-by-nine family","applicable":false,"research_question":"Does the shared M9 pattern have shared biological relevance, or does native-modulus complexity change it? Unassessed: requires peer-reviewed evidence, in silico modelling (including proposed CUDA/CUDA-Q work), and appropriate experimental validation. No spatial-dimension claim or WSS score follows from this arithmetic match.","biological_significance":"Not yet assessed","native_data_preserved":true},"epsilon_m9_comparison":{"rule_version":"epsilon-m9-exact-v2","geometry_identical":true,"reduced_sequence_identical":false,"combined_eligible":false,"alpha_indices":[0,580,1450,870,290,1160,0],"clock_positions":[1740,580,1450,870,290,1160,1740],"native_values":[590,295,295,590,295,295,590],"reduced_m9_values":[9,7,7,9,7,7,9],"reference_values":[9,3,6,9,3,6,9],"normalized_route_sixths":[0,2,5,3,1,4,0],"orientation":"clockwise from north; fixed M9 route and starting phase","reason":"Reference geometry exists, but the reduced traversal does not equal 9–3–6–9–3–6–9.","scope":"Tests the fixed north-oriented M9 path on the full native period circle; does not fold the period or rotate/reverse the values to force a match."},"epsilon_assessment":{"rule_version":"native-epsilon-diagnostics-v1","native_369_present":false,"candidate_count":290,"candidates":[{"formation_id":"6-nodes-offset-0","alpha_indices":[0,290,580,870,1160,1450],"clock_positions":[1740,290,580,870,1160,1450],"native_values":[590,295,295,590,295,295],"rotation_degrees":0.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":0,"clock_position":1740,"value":590},{"alpha_index":290,"clock_position":290,"value":295},{"alpha_index":580,"clock_position":580,"value":295},{"alpha_index":870,"clock_position":870,"value":590},{"alpha_index":1160,"clock_position":1160,"value":295},{"alpha_index":1450,"clock_position":1450,"value":295}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-1","alpha_indices":[1,291,581,871,1161,1451],"clock_positions":[1,291,581,871,1161,1451],"native_values":[1,414,1,119,296,119],"rotation_degrees":0.20689655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":1,"clock_position":1,"value":1},{"alpha_index":291,"clock_position":291,"value":414},{"alpha_index":581,"clock_position":581,"value":1},{"alpha_index":871,"clock_position":871,"value":119},{"alpha_index":1161,"clock_position":1161,"value":296},{"alpha_index":1451,"clock_position":1451,"value":119}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-2","alpha_indices":[2,292,582,872,1162,1452],"clock_positions":[2,292,582,872,1162,1452],"native_values":[1,119,296,119,1,414],"rotation_degrees":0.41379310344827586,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":2,"clock_position":2,"value":1},{"alpha_index":292,"clock_position":292,"value":119},{"alpha_index":582,"clock_position":582,"value":296},{"alpha_index":872,"clock_position":872,"value":119},{"alpha_index":1162,"clock_position":1162,"value":1},{"alpha_index":1452,"clock_position":1452,"value":414}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-3","alpha_indices":[3,293,583,873,1163,1453],"clock_positions":[3,293,583,873,1163,1453],"native_values":[2,533,297,238,297,533],"rotation_degrees":0.6206896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":3,"clock_position":3,"value":2},{"alpha_index":293,"clock_position":293,"value":533},{"alpha_index":583,"clock_position":583,"value":297},{"alpha_index":873,"clock_position":873,"value":238},{"alpha_index":1163,"clock_position":1163,"value":297},{"alpha_index":1453,"clock_position":1453,"value":533}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-4","alpha_indices":[4,294,584,874,1164,1454],"clock_positions":[4,294,584,874,1164,1454],"native_values":[3,62,3,357,298,357],"rotation_degrees":0.8275862068965517,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":294,"clock_position":294,"value":62},{"alpha_index":874,"clock_position":874,"value":357},{"alpha_index":1164,"clock_position":1164,"value":298},{"alpha_index":1454,"clock_position":1454,"value":357}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-5","alpha_indices":[5,295,585,875,1165,1455],"clock_positions":[5,295,585,875,1165,1455],"native_values":[5,5,300,5,5,300],"rotation_degrees":1.0344827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":5,"clock_position":5,"value":5},{"alpha_index":295,"clock_position":295,"value":5},{"alpha_index":585,"clock_position":585,"value":300},{"alpha_index":875,"clock_position":875,"value":5},{"alpha_index":1165,"clock_position":1165,"value":5},{"alpha_index":1455,"clock_position":1455,"value":300}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-6","alpha_indices":[6,296,586,876,1166,1456],"clock_positions":[6,296,586,876,1166,1456],"native_values":[8,67,303,362,303,67],"rotation_degrees":1.2413793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":6,"clock_position":6,"value":8},{"alpha_index":296,"clock_position":296,"value":67},{"alpha_index":586,"clock_position":586,"value":303},{"alpha_index":876,"clock_position":876,"value":362},{"alpha_index":1166,"clock_position":1166,"value":303},{"alpha_index":1456,"clock_position":1456,"value":67}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-7","alpha_indices":[7,297,587,877,1167,1457],"clock_positions":[7,297,587,877,1167,1457],"native_values":[13,72,13,367,308,367],"rotation_degrees":1.4482758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":7,"clock_position":7,"value":13},{"alpha_index":297,"clock_position":297,"value":72},{"alpha_index":587,"clock_position":587,"value":13},{"alpha_index":877,"clock_position":877,"value":367},{"alpha_index":1167,"clock_position":1167,"value":308},{"alpha_index":1457,"clock_position":1457,"value":367}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-8","alpha_indices":[8,298,588,878,1168,1458],"clock_positions":[8,298,588,878,1168,1458],"native_values":[21,139,316,139,21,434],"rotation_degrees":1.6551724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":8,"clock_position":8,"value":21},{"alpha_index":298,"clock_position":298,"value":139},{"alpha_index":588,"clock_position":588,"value":316},{"alpha_index":878,"clock_position":878,"value":139},{"alpha_index":1168,"clock_position":1168,"value":21},{"alpha_index":1458,"clock_position":1458,"value":434}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-9","alpha_indices":[9,299,589,879,1169,1459],"clock_positions":[9,299,589,879,1169,1459],"native_values":[34,211,329,506,329,211],"rotation_degrees":1.8620689655172413,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":9,"clock_position":9,"value":34},{"alpha_index":299,"clock_position":299,"value":211},{"alpha_index":589,"clock_position":589,"value":329},{"alpha_index":879,"clock_position":879,"value":506},{"alpha_index":1169,"clock_position":1169,"value":329},{"alpha_index":1459,"clock_position":1459,"value":211}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-10","alpha_indices":[10,300,590,880,1170,1460],"clock_positions":[10,300,590,880,1170,1460],"native_values":[55,350,55,55,350,55],"rotation_degrees":2.0689655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":10,"clock_position":10,"value":55},{"alpha_index":300,"clock_position":300,"value":350},{"alpha_index":590,"clock_position":590,"value":55},{"alpha_index":880,"clock_position":880,"value":55},{"alpha_index":1170,"clock_position":1170,"value":350},{"alpha_index":1460,"clock_position":1460,"value":55}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-11","alpha_indices":[11,301,591,881,1171,1461],"clock_positions":[11,301,591,881,1171,1461],"native_values":[89,561,384,561,89,266],"rotation_degrees":2.2758620689655173,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":11,"clock_position":11,"value":89},{"alpha_index":301,"clock_position":301,"value":561},{"alpha_index":591,"clock_position":591,"value":384},{"alpha_index":881,"clock_position":881,"value":561},{"alpha_index":1171,"clock_position":1171,"value":89},{"alpha_index":1461,"clock_position":1461,"value":266}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-12","alpha_indices":[12,302,592,882,1172,1462],"clock_positions":[12,302,592,882,1172,1462],"native_values":[144,321,439,26,439,321],"rotation_degrees":2.4827586206896552,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":12,"clock_position":12,"value":144},{"alpha_index":302,"clock_position":302,"value":321},{"alpha_index":592,"clock_position":592,"value":439},{"alpha_index":882,"clock_position":882,"value":26},{"alpha_index":1172,"clock_position":1172,"value":439},{"alpha_index":1462,"clock_position":1462,"value":321}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-13","alpha_indices":[13,303,593,883,1173,1463],"clock_positions":[13,303,593,883,1173,1463],"native_values":[233,292,233,587,528,587],"rotation_degrees":2.689655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":13,"clock_position":13,"value":233},{"alpha_index":303,"clock_position":303,"value":292},{"alpha_index":593,"clock_position":593,"value":233},{"alpha_index":883,"clock_position":883,"value":587},{"alpha_index":1173,"clock_position":1173,"value":528},{"alpha_index":1463,"clock_position":1463,"value":587}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-14","alpha_indices":[14,304,594,884,1174,1464],"clock_positions":[14,304,594,884,1174,1464],"native_values":[377,23,82,23,377,318],"rotation_degrees":2.896551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":14,"clock_position":14,"value":377},{"alpha_index":304,"clock_position":304,"value":23},{"alpha_index":594,"clock_position":594,"value":82},{"alpha_index":884,"clock_position":884,"value":23},{"alpha_index":1174,"clock_position":1174,"value":377},{"alpha_index":1464,"clock_position":1464,"value":318}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-15","alpha_indices":[15,305,595,885,1175,1465],"clock_positions":[15,305,595,885,1175,1465],"native_values":[20,315,315,20,315,315],"rotation_degrees":3.103448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":15,"clock_position":15,"value":20},{"alpha_index":305,"clock_position":305,"value":315},{"alpha_index":595,"clock_position":595,"value":315},{"alpha_index":885,"clock_position":885,"value":20},{"alpha_index":1175,"clock_position":1175,"value":315},{"alpha_index":1465,"clock_position":1465,"value":315}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-16","alpha_indices":[16,306,596,886,1176,1466],"clock_positions":[16,306,596,886,1176,1466],"native_values":[397,338,397,43,102,43],"rotation_degrees":3.310344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":16,"clock_position":16,"value":397},{"alpha_index":306,"clock_position":306,"value":338},{"alpha_index":596,"clock_position":596,"value":397},{"alpha_index":886,"clock_position":886,"value":43},{"alpha_index":1176,"clock_position":1176,"value":102},{"alpha_index":1466,"clock_position":1466,"value":43}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-17","alpha_indices":[17,307,597,887,1177,1467],"clock_positions":[17,307,597,887,1177,1467],"native_values":[417,63,122,63,417,358],"rotation_degrees":3.5172413793103448,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":17,"clock_position":17,"value":417},{"alpha_index":307,"clock_position":307,"value":63},{"alpha_index":597,"clock_position":597,"value":122},{"alpha_index":887,"clock_position":887,"value":63},{"alpha_index":1177,"clock_position":1177,"value":417},{"alpha_index":1467,"clock_position":1467,"value":358}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-18","alpha_indices":[18,308,598,888,1178,1468],"clock_positions":[18,308,598,888,1178,1468],"native_values":[224,401,519,106,519,401],"rotation_degrees":3.7241379310344827,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":18,"clock_position":18,"value":224},{"alpha_index":308,"clock_position":308,"value":401},{"alpha_index":598,"clock_position":598,"value":519},{"alpha_index":888,"clock_position":888,"value":106},{"alpha_index":1178,"clock_position":1178,"value":519},{"alpha_index":1468,"clock_position":1468,"value":401}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-19","alpha_indices":[19,309,599,889,1179,1469],"clock_positions":[19,309,599,889,1179,1469],"native_values":[51,464,51,169,346,169],"rotation_degrees":3.9310344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":19,"clock_position":19,"value":51},{"alpha_index":309,"clock_position":309,"value":464},{"alpha_index":599,"clock_position":599,"value":51},{"alpha_index":889,"clock_position":889,"value":169},{"alpha_index":1179,"clock_position":1179,"value":346},{"alpha_index":1469,"clock_position":1469,"value":169}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-20","alpha_indices":[20,310,600,890,1180,1470],"clock_positions":[20,310,600,890,1180,1470],"native_values":[275,275,570,275,275,570],"rotation_degrees":4.137931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":20,"clock_position":20,"value":275},{"alpha_index":310,"clock_position":310,"value":275},{"alpha_index":600,"clock_position":600,"value":570},{"alpha_index":890,"clock_position":890,"value":275},{"alpha_index":1180,"clock_position":1180,"value":275},{"alpha_index":1470,"clock_position":1470,"value":570}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-21","alpha_indices":[21,311,601,891,1181,1471],"clock_positions":[21,311,601,891,1181,1471],"native_values":[326,149,31,444,31,149],"rotation_degrees":4.344827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":21,"clock_position":21,"value":326},{"alpha_index":311,"clock_position":311,"value":149},{"alpha_index":601,"clock_position":601,"value":31},{"alpha_index":891,"clock_position":891,"value":444},{"alpha_index":1181,"clock_position":1181,"value":31},{"alpha_index":1471,"clock_position":1471,"value":149}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-22","alpha_indices":[22,312,602,892,1182,1472],"clock_positions":[22,312,602,892,1182,1472],"native_values":[11,424,11,129,306,129],"rotation_degrees":4.551724137931035,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":22,"clock_position":22,"value":11},{"alpha_index":312,"clock_position":312,"value":424},{"alpha_index":602,"clock_position":602,"value":11},{"alpha_index":892,"clock_position":892,"value":129},{"alpha_index":1182,"clock_position":1182,"value":306},{"alpha_index":1472,"clock_position":1472,"value":129}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-23","alpha_indices":[23,313,603,893,1183,1473],"clock_positions":[23,313,603,893,1183,1473],"native_values":[337,573,42,573,337,278],"rotation_degrees":4.758620689655173,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":23,"clock_position":23,"value":337},{"alpha_index":313,"clock_position":313,"value":573},{"alpha_index":603,"clock_position":603,"value":42},{"alpha_index":893,"clock_position":893,"value":573},{"alpha_index":1183,"clock_position":1183,"value":337},{"alpha_index":1473,"clock_position":1473,"value":278}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-24","alpha_indices":[24,314,604,894,1184,1474],"clock_positions":[24,314,604,894,1184,1474],"native_values":[348,407,53,112,53,407],"rotation_degrees":4.9655172413793105,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":24,"clock_position":24,"value":348},{"alpha_index":314,"clock_position":314,"value":407},{"alpha_index":604,"clock_position":604,"value":53},{"alpha_index":894,"clock_position":894,"value":112},{"alpha_index":1184,"clock_position":1184,"value":53},{"alpha_index":1474,"clock_position":1474,"value":407}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-25","alpha_indices":[25,315,605,895,1185,1475],"clock_positions":[25,315,605,895,1185,1475],"native_values":[95,390,95,95,390,95],"rotation_degrees":5.172413793103448,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":25,"clock_position":25,"value":95},{"alpha_index":315,"clock_position":315,"value":390},{"alpha_index":605,"clock_position":605,"value":95},{"alpha_index":895,"clock_position":895,"value":95},{"alpha_index":1185,"clock_position":1185,"value":390},{"alpha_index":1475,"clock_position":1475,"value":95}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-26","alpha_indices":[26,316,606,896,1186,1476],"clock_positions":[26,316,606,896,1186,1476],"native_values":[443,207,148,207,443,502],"rotation_degrees":5.379310344827586,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":26,"clock_position":26,"value":443},{"alpha_index":316,"clock_position":316,"value":207},{"alpha_index":606,"clock_position":606,"value":148},{"alpha_index":896,"clock_position":896,"value":207},{"alpha_index":1186,"clock_position":1186,"value":443},{"alpha_index":1476,"clock_position":1476,"value":502}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-27","alpha_indices":[27,317,607,897,1187,1477],"clock_positions":[27,317,607,897,1187,1477],"native_values":[538,7,243,302,243,7],"rotation_degrees":5.586206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":27,"clock_position":27,"value":538},{"alpha_index":317,"clock_position":317,"value":7},{"alpha_index":607,"clock_position":607,"value":243},{"alpha_index":897,"clock_position":897,"value":302},{"alpha_index":1187,"clock_position":1187,"value":243},{"alpha_index":1477,"clock_position":1477,"value":7}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-28","alpha_indices":[28,318,608,898,1188,1478],"clock_positions":[28,318,608,898,1188,1478],"native_values":[391,214,391,509,96,509],"rotation_degrees":5.793103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":28,"clock_position":28,"value":391},{"alpha_index":318,"clock_position":318,"value":214},{"alpha_index":608,"clock_position":608,"value":391},{"alpha_index":898,"clock_position":898,"value":509},{"alpha_index":1188,"clock_position":1188,"value":96},{"alpha_index":1478,"clock_position":1478,"value":509}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-29","alpha_indices":[29,319,609,899,1189,1479],"clock_positions":[29,319,609,899,1189,1479],"native_values":[339,221,44,221,339,516],"rotation_degrees":6.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":29,"clock_position":29,"value":339},{"alpha_index":319,"clock_position":319,"value":221},{"alpha_index":609,"clock_position":609,"value":44},{"alpha_index":899,"clock_position":899,"value":221},{"alpha_index":1189,"clock_position":1189,"value":339},{"alpha_index":1479,"clock_position":1479,"value":516}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-30","alpha_indices":[30,320,610,900,1190,1480],"clock_positions":[30,320,610,900,1190,1480],"native_values":[140,435,435,140,435,435],"rotation_degrees":6.206896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":30,"clock_position":30,"value":140},{"alpha_index":320,"clock_position":320,"value":435},{"alpha_index":610,"clock_position":610,"value":435},{"alpha_index":900,"clock_position":900,"value":140},{"alpha_index":1190,"clock_position":1190,"value":435},{"alpha_index":1480,"clock_position":1480,"value":435}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-31","alpha_indices":[31,321,611,901,1191,1481],"clock_positions":[31,321,611,901,1191,1481],"native_values":[479,66,479,361,184,361],"rotation_degrees":6.413793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":31,"clock_position":31,"value":479},{"alpha_index":321,"clock_position":321,"value":66},{"alpha_index":611,"clock_position":611,"value":479},{"alpha_index":901,"clock_position":901,"value":361},{"alpha_index":1191,"clock_position":1191,"value":184},{"alpha_index":1481,"clock_position":1481,"value":361}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-32","alpha_indices":[32,322,612,902,1192,1482],"clock_positions":[32,322,612,902,1192,1482],"native_values":[29,501,324,501,29,206],"rotation_degrees":6.620689655172414,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":32,"clock_position":32,"value":29},{"alpha_index":322,"clock_position":322,"value":501},{"alpha_index":612,"clock_position":612,"value":324},{"alpha_index":902,"clock_position":902,"value":501},{"alpha_index":1192,"clock_position":1192,"value":29},{"alpha_index":1482,"clock_position":1482,"value":206}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-33","alpha_indices":[33,323,613,903,1193,1483],"clock_positions":[33,323,613,903,1193,1483],"native_values":[508,567,213,272,213,567],"rotation_degrees":6.827586206896552,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":33,"clock_position":33,"value":508},{"alpha_index":323,"clock_position":323,"value":567},{"alpha_index":613,"clock_position":613,"value":213},{"alpha_index":903,"clock_position":903,"value":272},{"alpha_index":1193,"clock_position":1193,"value":213},{"alpha_index":1483,"clock_position":1483,"value":567}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-34","alpha_indices":[34,324,614,904,1194,1484],"clock_positions":[34,324,614,904,1194,1484],"native_values":[537,478,537,183,242,183],"rotation_degrees":7.0344827586206895,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":34,"clock_position":34,"value":537},{"alpha_index":324,"clock_position":324,"value":478},{"alpha_index":614,"clock_position":614,"value":537},{"alpha_index":904,"clock_position":904,"value":183},{"alpha_index":1194,"clock_position":1194,"value":242},{"alpha_index":1484,"clock_position":1484,"value":183}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-35","alpha_indices":[35,325,615,905,1195,1485],"clock_positions":[35,325,615,905,1195,1485],"native_values":[455,455,160,455,455,160],"rotation_degrees":7.241379310344827,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":35,"clock_position":35,"value":455},{"alpha_index":325,"clock_position":325,"value":455},{"alpha_index":615,"clock_position":615,"value":160},{"alpha_index":905,"clock_position":905,"value":455},{"alpha_index":1195,"clock_position":1195,"value":455},{"alpha_index":1485,"clock_position":1485,"value":160}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-36","alpha_indices":[36,326,616,906,1196,1486],"clock_positions":[36,326,616,906,1196,1486],"native_values":[402,343,107,48,107,343],"rotation_degrees":7.448275862068965,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":36,"clock_position":36,"value":402},{"alpha_index":326,"clock_position":326,"value":343},{"alpha_index":616,"clock_position":616,"value":107},{"alpha_index":906,"clock_position":906,"value":48},{"alpha_index":1196,"clock_position":1196,"value":107},{"alpha_index":1486,"clock_position":1486,"value":343}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-37","alpha_indices":[37,327,617,907,1197,1487],"clock_positions":[37,327,617,907,1197,1487],"native_values":[267,208,267,503,562,503],"rotation_degrees":7.655172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":37,"clock_position":37,"value":267},{"alpha_index":327,"clock_position":327,"value":208},{"alpha_index":617,"clock_position":617,"value":267},{"alpha_index":907,"clock_position":907,"value":503},{"alpha_index":1197,"clock_position":1197,"value":562},{"alpha_index":1487,"clock_position":1487,"value":503}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-38","alpha_indices":[38,328,618,908,1198,1488],"clock_positions":[38,328,618,908,1198,1488],"native_values":[79,551,374,551,79,256],"rotation_degrees":7.862068965517241,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":38,"clock_position":38,"value":79},{"alpha_index":328,"clock_position":328,"value":551},{"alpha_index":618,"clock_position":618,"value":374},{"alpha_index":908,"clock_position":908,"value":551},{"alpha_index":1198,"clock_position":1198,"value":79},{"alpha_index":1488,"clock_position":1488,"value":256}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-39","alpha_indices":[39,329,619,909,1199,1489],"clock_positions":[39,329,619,909,1199,1489],"native_values":[346,169,51,464,51,169],"rotation_degrees":8.068965517241379,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":39,"clock_position":39,"value":346},{"alpha_index":329,"clock_position":329,"value":169},{"alpha_index":619,"clock_position":619,"value":51},{"alpha_index":909,"clock_position":909,"value":464},{"alpha_index":1199,"clock_position":1199,"value":51},{"alpha_index":1489,"clock_position":1489,"value":169}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-40","alpha_indices":[40,330,620,910,1200,1490],"clock_positions":[40,330,620,910,1200,1490],"native_values":[425,130,425,425,130,425],"rotation_degrees":8.275862068965518,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":40,"clock_position":40,"value":425},{"alpha_index":330,"clock_position":330,"value":130},{"alpha_index":620,"clock_position":620,"value":425},{"alpha_index":910,"clock_position":910,"value":425},{"alpha_index":1200,"clock_position":1200,"value":130},{"alpha_index":1490,"clock_position":1490,"value":425}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-41","alpha_indices":[41,331,621,911,1201,1491],"clock_positions":[41,331,621,911,1201,1491],"native_values":[181,299,476,299,181,4],"rotation_degrees":8.482758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":41,"clock_position":41,"value":181},{"alpha_index":331,"clock_position":331,"value":299},{"alpha_index":621,"clock_position":621,"value":476},{"alpha_index":911,"clock_position":911,"value":299},{"alpha_index":1201,"clock_position":1201,"value":181},{"alpha_index":1491,"clock_position":1491,"value":4}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-42","alpha_indices":[42,332,622,912,1202,1492],"clock_positions":[42,332,622,912,1202,1492],"native_values":[16,429,311,134,311,429],"rotation_degrees":8.689655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":42,"clock_position":42,"value":16},{"alpha_index":332,"clock_position":332,"value":429},{"alpha_index":622,"clock_position":622,"value":311},{"alpha_index":912,"clock_position":912,"value":134},{"alpha_index":1202,"clock_position":1202,"value":311},{"alpha_index":1492,"clock_position":1492,"value":429}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-43","alpha_indices":[43,333,623,913,1203,1493],"clock_positions":[43,333,623,913,1203,1493],"native_values":[197,138,197,433,492,433],"rotation_degrees":8.89655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":43,"clock_position":43,"value":197},{"alpha_index":333,"clock_position":333,"value":138},{"alpha_index":623,"clock_position":623,"value":197},{"alpha_index":913,"clock_position":913,"value":433},{"alpha_index":1203,"clock_position":1203,"value":492},{"alpha_index":1493,"clock_position":1493,"value":433}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-44","alpha_indices":[44,334,624,914,1204,1494],"clock_positions":[44,334,624,914,1204,1494],"native_values":[213,567,508,567,213,272],"rotation_degrees":9.10344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":44,"clock_position":44,"value":213},{"alpha_index":334,"clock_position":334,"value":567},{"alpha_index":624,"clock_position":624,"value":508},{"alpha_index":914,"clock_position":914,"value":567},{"alpha_index":1204,"clock_position":1204,"value":213},{"alpha_index":1494,"clock_position":1494,"value":272}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-45","alpha_indices":[45,335,625,915,1205,1495],"clock_positions":[45,335,625,915,1205,1495],"native_values":[410,115,115,410,115,115],"rotation_degrees":9.310344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":45,"clock_position":45,"value":410},{"alpha_index":335,"clock_position":335,"value":115},{"alpha_index":625,"clock_position":625,"value":115},{"alpha_index":915,"clock_position":915,"value":410},{"alpha_index":1205,"clock_position":1205,"value":115},{"alpha_index":1495,"clock_position":1495,"value":115}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-46","alpha_indices":[46,336,626,916,1206,1496],"clock_positions":[46,336,626,916,1206,1496],"native_values":[33,92,33,387,328,387],"rotation_degrees":9.517241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":46,"clock_position":46,"value":33},{"alpha_index":336,"clock_position":336,"value":92},{"alpha_index":626,"clock_position":626,"value":33},{"alpha_index":916,"clock_position":916,"value":387},{"alpha_index":1206,"clock_position":1206,"value":328},{"alpha_index":1496,"clock_position":1496,"value":387}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-47","alpha_indices":[47,337,627,917,1207,1497],"clock_positions":[47,337,627,917,1207,1497],"native_values":[443,207,148,207,443,502],"rotation_degrees":9.724137931034482,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":47,"clock_position":47,"value":443},{"alpha_index":337,"clock_position":337,"value":207},{"alpha_index":627,"clock_position":627,"value":148},{"alpha_index":917,"clock_position":917,"value":207},{"alpha_index":1207,"clock_position":1207,"value":443},{"alpha_index":1497,"clock_position":1497,"value":502}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-48","alpha_indices":[48,338,628,918,1208,1498],"clock_positions":[48,338,628,918,1208,1498],"native_values":[476,299,181,4,181,299],"rotation_degrees":9.931034482758621,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":48,"clock_position":48,"value":476},{"alpha_index":338,"clock_position":338,"value":299},{"alpha_index":628,"clock_position":628,"value":181},{"alpha_index":918,"clock_position":918,"value":4},{"alpha_index":1208,"clock_position":1208,"value":181},{"alpha_index":1498,"clock_position":1498,"value":299}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-49","alpha_indices":[49,339,629,919,1209,1499],"clock_positions":[49,339,629,919,1209,1499],"native_values":[329,506,329,211,34,211],"rotation_degrees":10.137931034482758,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":49,"clock_position":49,"value":329},{"alpha_index":339,"clock_position":339,"value":506},{"alpha_index":629,"clock_position":629,"value":329},{"alpha_index":919,"clock_position":919,"value":211},{"alpha_index":1209,"clock_position":1209,"value":34},{"alpha_index":1499,"clock_position":1499,"value":211}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-50","alpha_indices":[50,340,630,920,1210,1500],"clock_positions":[50,340,630,920,1210,1500],"native_values":[215,215,510,215,215,510],"rotation_degrees":10.344827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":50,"clock_position":50,"value":215},{"alpha_index":340,"clock_position":340,"value":215},{"alpha_index":630,"clock_position":630,"value":510},{"alpha_index":920,"clock_position":920,"value":215},{"alpha_index":1210,"clock_position":1210,"value":215},{"alpha_index":1500,"clock_position":1500,"value":510}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-51","alpha_indices":[51,341,631,921,1211,1501],"clock_positions":[51,341,631,921,1211,1501],"native_values":[544,131,249,426,249,131],"rotation_degrees":10.551724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":51,"clock_position":51,"value":544},{"alpha_index":341,"clock_position":341,"value":131},{"alpha_index":631,"clock_position":631,"value":249},{"alpha_index":921,"clock_position":921,"value":426},{"alpha_index":1211,"clock_position":1211,"value":249},{"alpha_index":1501,"clock_position":1501,"value":131}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-52","alpha_indices":[52,342,632,922,1212,1502],"clock_positions":[52,342,632,922,1212,1502],"native_values":[169,346,169,51,464,51],"rotation_degrees":10.758620689655173,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":52,"clock_position":52,"value":169},{"alpha_index":342,"clock_position":342,"value":346},{"alpha_index":632,"clock_position":632,"value":169},{"alpha_index":922,"clock_position":922,"value":51},{"alpha_index":1212,"clock_position":1212,"value":464},{"alpha_index":1502,"clock_position":1502,"value":51}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-53","alpha_indices":[53,343,633,923,1213,1503],"clock_positions":[53,343,633,923,1213,1503],"native_values":[123,477,418,477,123,182],"rotation_degrees":10.96551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":53,"clock_position":53,"value":123},{"alpha_index":343,"clock_position":343,"value":477},{"alpha_index":633,"clock_position":633,"value":418},{"alpha_index":923,"clock_position":923,"value":477},{"alpha_index":1213,"clock_position":1213,"value":123},{"alpha_index":1503,"clock_position":1503,"value":182}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-54","alpha_indices":[54,344,634,924,1214,1504],"clock_positions":[54,344,634,924,1214,1504],"native_values":[292,233,587,528,587,233],"rotation_degrees":11.172413793103448,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":54,"clock_position":54,"value":292},{"alpha_index":344,"clock_position":344,"value":233},{"alpha_index":634,"clock_position":634,"value":587},{"alpha_index":924,"clock_position":924,"value":528},{"alpha_index":1214,"clock_position":1214,"value":587},{"alpha_index":1504,"clock_position":1504,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-55","alpha_indices":[55,345,635,925,1215,1505],"clock_positions":[55,345,635,925,1215,1505],"native_values":[415,120,415,415,120,415],"rotation_degrees":11.379310344827585,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":55,"clock_position":55,"value":415},{"alpha_index":345,"clock_position":345,"value":120},{"alpha_index":635,"clock_position":635,"value":415},{"alpha_index":925,"clock_position":925,"value":415},{"alpha_index":1215,"clock_position":1215,"value":120},{"alpha_index":1505,"clock_position":1505,"value":415}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-56","alpha_indices":[56,346,636,926,1216,1506],"clock_positions":[56,346,636,926,1216,1506],"native_values":[117,353,412,353,117,58],"rotation_degrees":11.586206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":56,"clock_position":56,"value":117},{"alpha_index":346,"clock_position":346,"value":353},{"alpha_index":636,"clock_position":636,"value":412},{"alpha_index":926,"clock_position":926,"value":353},{"alpha_index":1216,"clock_position":1216,"value":117},{"alpha_index":1506,"clock_position":1506,"value":58}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-57","alpha_indices":[57,347,637,927,1217,1507],"clock_positions":[57,347,637,927,1217,1507],"native_values":[532,473,237,178,237,473],"rotation_degrees":11.793103448275861,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":57,"clock_position":57,"value":532},{"alpha_index":347,"clock_position":347,"value":473},{"alpha_index":637,"clock_position":637,"value":237},{"alpha_index":927,"clock_position":927,"value":178},{"alpha_index":1217,"clock_position":1217,"value":237},{"alpha_index":1507,"clock_position":1507,"value":473}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-58","alpha_indices":[58,348,638,928,1218,1508],"clock_positions":[58,348,638,928,1218,1508],"native_values":[59,236,59,531,354,531],"rotation_degrees":12.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":58,"clock_position":58,"value":59},{"alpha_index":348,"clock_position":348,"value":236},{"alpha_index":638,"clock_position":638,"value":59},{"alpha_index":928,"clock_position":928,"value":531},{"alpha_index":1218,"clock_position":1218,"value":354},{"alpha_index":1508,"clock_position":1508,"value":531}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-59","alpha_indices":[59,349,639,929,1219,1509],"clock_positions":[59,349,639,929,1219,1509],"native_values":[1,119,296,119,1,414],"rotation_degrees":12.206896551724139,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":59,"clock_position":59,"value":1},{"alpha_index":349,"clock_position":349,"value":119},{"alpha_index":639,"clock_position":639,"value":296},{"alpha_index":929,"clock_position":929,"value":119},{"alpha_index":1219,"clock_position":1219,"value":1},{"alpha_index":1509,"clock_position":1509,"value":414}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-60","alpha_indices":[60,350,640,930,1220,1510],"clock_positions":[60,350,640,930,1220,1510],"native_values":[60,355,355,60,355,355],"rotation_degrees":12.413793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":60,"clock_position":60,"value":60},{"alpha_index":350,"clock_position":350,"value":355},{"alpha_index":640,"clock_position":640,"value":355},{"alpha_index":930,"clock_position":930,"value":60},{"alpha_index":1220,"clock_position":1220,"value":355},{"alpha_index":1510,"clock_position":1510,"value":355}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-61","alpha_indices":[61,351,641,931,1221,1511],"clock_positions":[61,351,641,931,1221,1511],"native_values":[61,474,61,179,356,179],"rotation_degrees":12.620689655172415,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":61,"clock_position":61,"value":61},{"alpha_index":351,"clock_position":351,"value":474},{"alpha_index":641,"clock_position":641,"value":61},{"alpha_index":931,"clock_position":931,"value":179},{"alpha_index":1221,"clock_position":1221,"value":356},{"alpha_index":1511,"clock_position":1511,"value":179}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-62","alpha_indices":[62,352,642,932,1222,1512],"clock_positions":[62,352,642,932,1222,1512],"native_values":[121,239,416,239,121,534],"rotation_degrees":12.827586206896552,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":62,"clock_position":62,"value":121},{"alpha_index":352,"clock_position":352,"value":239},{"alpha_index":642,"clock_position":642,"value":416},{"alpha_index":932,"clock_position":932,"value":239},{"alpha_index":1222,"clock_position":1222,"value":121},{"alpha_index":1512,"clock_position":1512,"value":534}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-63","alpha_indices":[63,353,643,933,1223,1513],"clock_positions":[63,353,643,933,1223,1513],"native_values":[182,123,477,418,477,123],"rotation_degrees":13.03448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":63,"clock_position":63,"value":182},{"alpha_index":353,"clock_position":353,"value":123},{"alpha_index":643,"clock_position":643,"value":477},{"alpha_index":933,"clock_position":933,"value":418},{"alpha_index":1223,"clock_position":1223,"value":477},{"alpha_index":1513,"clock_position":1513,"value":123}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-64","alpha_indices":[64,354,644,934,1224,1514],"clock_positions":[64,354,644,934,1224,1514],"native_values":[303,362,303,67,8,67],"rotation_degrees":13.241379310344827,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":64,"clock_position":64,"value":303},{"alpha_index":354,"clock_position":354,"value":362},{"alpha_index":644,"clock_position":644,"value":303},{"alpha_index":934,"clock_position":934,"value":67},{"alpha_index":1224,"clock_position":1224,"value":8},{"alpha_index":1514,"clock_position":1514,"value":67}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-65","alpha_indices":[65,355,645,935,1225,1515],"clock_positions":[65,355,645,935,1225,1515],"native_values":[485,485,190,485,485,190],"rotation_degrees":13.448275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":65,"clock_position":65,"value":485},{"alpha_index":355,"clock_position":355,"value":485},{"alpha_index":645,"clock_position":645,"value":190},{"alpha_index":935,"clock_position":935,"value":485},{"alpha_index":1225,"clock_position":1225,"value":485},{"alpha_index":1515,"clock_position":1515,"value":190}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-66","alpha_indices":[66,356,646,936,1226,1516],"clock_positions":[66,356,646,936,1226,1516],"native_values":[198,257,493,552,493,257],"rotation_degrees":13.655172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":66,"clock_position":66,"value":198},{"alpha_index":356,"clock_position":356,"value":257},{"alpha_index":646,"clock_position":646,"value":493},{"alpha_index":936,"clock_position":936,"value":552},{"alpha_index":1226,"clock_position":1226,"value":493},{"alpha_index":1516,"clock_position":1516,"value":257}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-67","alpha_indices":[67,357,647,937,1227,1517],"clock_positions":[67,357,647,937,1227,1517],"native_values":[93,152,93,447,388,447],"rotation_degrees":13.862068965517242,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":67,"clock_position":67,"value":93},{"alpha_index":357,"clock_position":357,"value":152},{"alpha_index":647,"clock_position":647,"value":93},{"alpha_index":937,"clock_position":937,"value":447},{"alpha_index":1227,"clock_position":1227,"value":388},{"alpha_index":1517,"clock_position":1517,"value":447}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-68","alpha_indices":[68,358,648,938,1228,1518],"clock_positions":[68,358,648,938,1228,1518],"native_values":[291,409,586,409,291,114],"rotation_degrees":14.068965517241379,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":68,"clock_position":68,"value":291},{"alpha_index":358,"clock_position":358,"value":409},{"alpha_index":648,"clock_position":648,"value":586},{"alpha_index":938,"clock_position":938,"value":409},{"alpha_index":1228,"clock_position":1228,"value":291},{"alpha_index":1518,"clock_position":1518,"value":114}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-69","alpha_indices":[69,359,649,939,1229,1519],"clock_positions":[69,359,649,939,1229,1519],"native_values":[384,561,89,266,89,561],"rotation_degrees":14.275862068965518,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":69,"clock_position":69,"value":384},{"alpha_index":359,"clock_position":359,"value":561},{"alpha_index":649,"clock_position":649,"value":89},{"alpha_index":939,"clock_position":939,"value":266},{"alpha_index":1229,"clock_position":1229,"value":89},{"alpha_index":1519,"clock_position":1519,"value":561}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-70","alpha_indices":[70,360,650,940,1230,1520],"clock_positions":[70,360,650,940,1230,1520],"native_values":[85,380,85,85,380,85],"rotation_degrees":14.482758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":70,"clock_position":70,"value":85},{"alpha_index":360,"clock_position":360,"value":380},{"alpha_index":650,"clock_position":650,"value":85},{"alpha_index":940,"clock_position":940,"value":85},{"alpha_index":1230,"clock_position":1230,"value":380},{"alpha_index":1520,"clock_position":1520,"value":85}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-71","alpha_indices":[71,361,651,941,1231,1521],"clock_positions":[71,361,651,941,1231,1521],"native_values":[469,351,174,351,469,56],"rotation_degrees":14.689655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":71,"clock_position":71,"value":469},{"alpha_index":361,"clock_position":361,"value":351},{"alpha_index":651,"clock_position":651,"value":174},{"alpha_index":941,"clock_position":941,"value":351},{"alpha_index":1231,"clock_position":1231,"value":469},{"alpha_index":1521,"clock_position":1521,"value":56}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-72","alpha_indices":[72,362,652,942,1232,1522],"clock_positions":[72,362,652,942,1232,1522],"native_values":[554,141,259,436,259,141],"rotation_degrees":14.89655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":72,"clock_position":72,"value":554},{"alpha_index":362,"clock_position":362,"value":141},{"alpha_index":652,"clock_position":652,"value":259},{"alpha_index":942,"clock_position":942,"value":436},{"alpha_index":1232,"clock_position":1232,"value":259},{"alpha_index":1522,"clock_position":1522,"value":141}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-73","alpha_indices":[73,363,653,943,1233,1523],"clock_positions":[73,363,653,943,1233,1523],"native_values":[433,492,433,197,138,197],"rotation_degrees":15.10344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":73,"clock_position":73,"value":433},{"alpha_index":363,"clock_position":363,"value":492},{"alpha_index":653,"clock_position":653,"value":433},{"alpha_index":943,"clock_position":943,"value":197},{"alpha_index":1233,"clock_position":1233,"value":138},{"alpha_index":1523,"clock_position":1523,"value":197}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-74","alpha_indices":[74,364,654,944,1234,1524],"clock_positions":[74,364,654,944,1234,1524],"native_values":[397,43,102,43,397,338],"rotation_degrees":15.310344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":74,"clock_position":74,"value":397},{"alpha_index":364,"clock_position":364,"value":43},{"alpha_index":654,"clock_position":654,"value":102},{"alpha_index":944,"clock_position":944,"value":43},{"alpha_index":1234,"clock_position":1234,"value":397},{"alpha_index":1524,"clock_position":1524,"value":338}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-75","alpha_indices":[75,365,655,945,1235,1525],"clock_positions":[75,365,655,945,1235,1525],"native_values":[240,535,535,240,535,535],"rotation_degrees":15.517241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":75,"clock_position":75,"value":240},{"alpha_index":365,"clock_position":365,"value":535},{"alpha_index":655,"clock_position":655,"value":535},{"alpha_index":945,"clock_position":945,"value":240},{"alpha_index":1235,"clock_position":1235,"value":535},{"alpha_index":1525,"clock_position":1525,"value":535}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-76","alpha_indices":[76,366,656,946,1236,1526],"clock_positions":[76,366,656,946,1236,1526],"native_values":[47,578,47,283,342,283],"rotation_degrees":15.724137931034482,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":76,"clock_position":76,"value":47},{"alpha_index":366,"clock_position":366,"value":578},{"alpha_index":656,"clock_position":656,"value":47},{"alpha_index":946,"clock_position":946,"value":283},{"alpha_index":1236,"clock_position":1236,"value":342},{"alpha_index":1526,"clock_position":1526,"value":283}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-77","alpha_indices":[77,367,657,947,1237,1527],"clock_positions":[77,367,657,947,1237,1527],"native_values":[287,523,582,523,287,228],"rotation_degrees":15.931034482758621,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":77,"clock_position":77,"value":287},{"alpha_index":367,"clock_position":367,"value":523},{"alpha_index":657,"clock_position":657,"value":582},{"alpha_index":947,"clock_position":947,"value":523},{"alpha_index":1237,"clock_position":1237,"value":287},{"alpha_index":1527,"clock_position":1527,"value":228}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-78","alpha_indices":[78,368,658,948,1238,1528],"clock_positions":[78,368,658,948,1238,1528],"native_values":[334,511,39,216,39,511],"rotation_degrees":16.137931034482758,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":78,"clock_position":78,"value":334},{"alpha_index":368,"clock_position":368,"value":511},{"alpha_index":658,"clock_position":658,"value":39},{"alpha_index":948,"clock_position":948,"value":216},{"alpha_index":1238,"clock_position":1238,"value":39},{"alpha_index":1528,"clock_position":1528,"value":511}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-79","alpha_indices":[79,369,659,949,1239,1529],"clock_positions":[79,369,659,949,1239,1529],"native_values":[31,444,31,149,326,149],"rotation_degrees":16.344827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":79,"clock_position":79,"value":31},{"alpha_index":369,"clock_position":369,"value":444},{"alpha_index":659,"clock_position":659,"value":31},{"alpha_index":949,"clock_position":949,"value":149},{"alpha_index":1239,"clock_position":1239,"value":326},{"alpha_index":1529,"clock_position":1529,"value":149}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-80","alpha_indices":[80,370,660,950,1240,1530],"clock_positions":[80,370,660,950,1240,1530],"native_values":[365,365,70,365,365,70],"rotation_degrees":16.551724137931036,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":80,"clock_position":80,"value":365},{"alpha_index":370,"clock_position":370,"value":365},{"alpha_index":660,"clock_position":660,"value":70},{"alpha_index":950,"clock_position":950,"value":365},{"alpha_index":1240,"clock_position":1240,"value":365},{"alpha_index":1530,"clock_position":1530,"value":70}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-81","alpha_indices":[81,371,661,951,1241,1531],"clock_positions":[81,371,661,951,1241,1531],"native_values":[396,219,101,514,101,219],"rotation_degrees":16.75862068965517,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":81,"clock_position":81,"value":396},{"alpha_index":371,"clock_position":371,"value":219},{"alpha_index":661,"clock_position":661,"value":101},{"alpha_index":951,"clock_position":951,"value":514},{"alpha_index":1241,"clock_position":1241,"value":101},{"alpha_index":1531,"clock_position":1531,"value":219}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-82","alpha_indices":[82,372,662,952,1242,1532],"clock_positions":[82,372,662,952,1242,1532],"native_values":[171,584,171,289,466,289],"rotation_degrees":16.96551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":82,"clock_position":82,"value":171},{"alpha_index":372,"clock_position":372,"value":584},{"alpha_index":662,"clock_position":662,"value":171},{"alpha_index":952,"clock_position":952,"value":289},{"alpha_index":1242,"clock_position":1242,"value":466},{"alpha_index":1532,"clock_position":1532,"value":289}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-83","alpha_indices":[83,373,663,953,1243,1533],"clock_positions":[83,373,663,953,1243,1533],"native_values":[567,213,272,213,567,508],"rotation_degrees":17.17241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":83,"clock_position":83,"value":567},{"alpha_index":373,"clock_position":373,"value":213},{"alpha_index":663,"clock_position":663,"value":272},{"alpha_index":953,"clock_position":953,"value":213},{"alpha_index":1243,"clock_position":1243,"value":567},{"alpha_index":1533,"clock_position":1533,"value":508}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-84","alpha_indices":[84,374,664,954,1244,1534],"clock_positions":[84,374,664,954,1244,1534],"native_values":[148,207,443,502,443,207],"rotation_degrees":17.379310344827587,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":84,"clock_position":84,"value":148},{"alpha_index":374,"clock_position":374,"value":207},{"alpha_index":664,"clock_position":664,"value":443},{"alpha_index":954,"clock_position":954,"value":502},{"alpha_index":1244,"clock_position":1244,"value":443},{"alpha_index":1534,"clock_position":1534,"value":207}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-85","alpha_indices":[85,375,665,955,1245,1535],"clock_positions":[85,375,665,955,1245,1535],"native_values":[125,420,125,125,420,125],"rotation_degrees":17.586206896551722,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":85,"clock_position":85,"value":125},{"alpha_index":375,"clock_position":375,"value":420},{"alpha_index":665,"clock_position":665,"value":125},{"alpha_index":955,"clock_position":955,"value":125},{"alpha_index":1245,"clock_position":1245,"value":420},{"alpha_index":1535,"clock_position":1535,"value":125}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-86","alpha_indices":[86,376,666,956,1246,1536],"clock_positions":[86,376,666,956,1246,1536],"native_values":[273,37,568,37,273,332],"rotation_degrees":17.79310344827586,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":86,"clock_position":86,"value":273},{"alpha_index":376,"clock_position":376,"value":37},{"alpha_index":666,"clock_position":666,"value":568},{"alpha_index":956,"clock_position":956,"value":37},{"alpha_index":1246,"clock_position":1246,"value":273},{"alpha_index":1536,"clock_position":1536,"value":332}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-87","alpha_indices":[87,377,667,957,1247,1537],"clock_positions":[87,377,667,957,1247,1537],"native_values":[398,457,103,162,103,457],"rotation_degrees":18.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":87,"clock_position":87,"value":398},{"alpha_index":377,"clock_position":377,"value":457},{"alpha_index":667,"clock_position":667,"value":103},{"alpha_index":957,"clock_position":957,"value":162},{"alpha_index":1247,"clock_position":1247,"value":103},{"alpha_index":1537,"clock_position":1537,"value":457}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-88","alpha_indices":[88,378,668,958,1248,1538],"clock_positions":[88,378,668,958,1248,1538],"native_values":[81,494,81,199,376,199],"rotation_degrees":18.20689655172414,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":88,"clock_position":88,"value":81},{"alpha_index":378,"clock_position":378,"value":494},{"alpha_index":668,"clock_position":668,"value":81},{"alpha_index":958,"clock_position":958,"value":199},{"alpha_index":1248,"clock_position":1248,"value":376},{"alpha_index":1538,"clock_position":1538,"value":199}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-89","alpha_indices":[89,379,669,959,1249,1539],"clock_positions":[89,379,669,959,1249,1539],"native_values":[479,361,184,361,479,66],"rotation_degrees":18.413793103448278,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":89,"clock_position":89,"value":479},{"alpha_index":379,"clock_position":379,"value":361},{"alpha_index":669,"clock_position":669,"value":184},{"alpha_index":959,"clock_position":959,"value":361},{"alpha_index":1249,"clock_position":1249,"value":479},{"alpha_index":1539,"clock_position":1539,"value":66}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-90","alpha_indices":[90,380,670,960,1250,1540],"clock_positions":[90,380,670,960,1250,1540],"native_values":[560,265,265,560,265,265],"rotation_degrees":18.620689655172413,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":90,"clock_position":90,"value":560},{"alpha_index":380,"clock_position":380,"value":265},{"alpha_index":670,"clock_position":670,"value":265},{"alpha_index":960,"clock_position":960,"value":560},{"alpha_index":1250,"clock_position":1250,"value":265},{"alpha_index":1540,"clock_position":1540,"value":265}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-91","alpha_indices":[91,381,671,961,1251,1541],"clock_positions":[91,381,671,961,1251,1541],"native_values":[449,36,449,331,154,331],"rotation_degrees":18.82758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":91,"clock_position":91,"value":449},{"alpha_index":381,"clock_position":381,"value":36},{"alpha_index":671,"clock_position":671,"value":449},{"alpha_index":961,"clock_position":961,"value":331},{"alpha_index":1251,"clock_position":1251,"value":154},{"alpha_index":1541,"clock_position":1541,"value":331}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-92","alpha_indices":[92,382,672,962,1252,1542],"clock_positions":[92,382,672,962,1252,1542],"native_values":[419,301,124,301,419,6],"rotation_degrees":19.03448275862069,"missing_required_values":[3,9],"failing_nodes":[{"alpha_index":92,"clock_position":92,"value":419},{"alpha_index":382,"clock_position":382,"value":301},{"alpha_index":672,"clock_position":672,"value":124},{"alpha_index":962,"clock_position":962,"value":301},{"alpha_index":1252,"clock_position":1252,"value":419}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-93","alpha_indices":[93,383,673,963,1253,1543],"clock_positions":[93,383,673,963,1253,1543],"native_values":[278,337,573,42,573,337],"rotation_degrees":19.24137931034483,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":93,"clock_position":93,"value":278},{"alpha_index":383,"clock_position":383,"value":337},{"alpha_index":673,"clock_position":673,"value":573},{"alpha_index":963,"clock_position":963,"value":42},{"alpha_index":1253,"clock_position":1253,"value":573},{"alpha_index":1543,"clock_position":1543,"value":337}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-94","alpha_indices":[94,384,674,964,1254,1544],"clock_positions":[94,384,674,964,1254,1544],"native_values":[107,48,107,343,402,343],"rotation_degrees":19.448275862068964,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":94,"clock_position":94,"value":107},{"alpha_index":384,"clock_position":384,"value":48},{"alpha_index":674,"clock_position":674,"value":107},{"alpha_index":964,"clock_position":964,"value":343},{"alpha_index":1254,"clock_position":1254,"value":402},{"alpha_index":1544,"clock_position":1544,"value":343}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-95","alpha_indices":[95,385,675,965,1255,1545],"clock_positions":[95,385,675,965,1255,1545],"native_values":[385,385,90,385,385,90],"rotation_degrees":19.655172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":95,"clock_position":95,"value":385},{"alpha_index":385,"clock_position":385,"value":385},{"alpha_index":675,"clock_position":675,"value":90},{"alpha_index":965,"clock_position":965,"value":385},{"alpha_index":1255,"clock_position":1255,"value":385},{"alpha_index":1545,"clock_position":1545,"value":90}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-96","alpha_indices":[96,386,676,966,1256,1546],"clock_positions":[96,386,676,966,1256,1546],"native_values":[492,433,197,138,197,433],"rotation_degrees":19.862068965517242,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":96,"clock_position":96,"value":492},{"alpha_index":386,"clock_position":386,"value":433},{"alpha_index":676,"clock_position":676,"value":197},{"alpha_index":966,"clock_position":966,"value":138},{"alpha_index":1256,"clock_position":1256,"value":197},{"alpha_index":1546,"clock_position":1546,"value":433}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-97","alpha_indices":[97,387,677,967,1257,1547],"clock_positions":[97,387,677,967,1257,1547],"native_values":[287,228,287,523,582,523],"rotation_degrees":20.06896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":97,"clock_position":97,"value":287},{"alpha_index":387,"clock_position":387,"value":228},{"alpha_index":677,"clock_position":677,"value":287},{"alpha_index":967,"clock_position":967,"value":523},{"alpha_index":1257,"clock_position":1257,"value":582},{"alpha_index":1547,"clock_position":1547,"value":523}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-98","alpha_indices":[98,388,678,968,1258,1548],"clock_positions":[98,388,678,968,1258,1548],"native_values":[189,71,484,71,189,366],"rotation_degrees":20.275862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":98,"clock_position":98,"value":189},{"alpha_index":388,"clock_position":388,"value":71},{"alpha_index":678,"clock_position":678,"value":484},{"alpha_index":968,"clock_position":968,"value":71},{"alpha_index":1258,"clock_position":1258,"value":189},{"alpha_index":1548,"clock_position":1548,"value":366}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-99","alpha_indices":[99,389,679,969,1259,1549],"clock_positions":[99,389,679,969,1259,1549],"native_values":[476,299,181,4,181,299],"rotation_degrees":20.482758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":99,"clock_position":99,"value":476},{"alpha_index":389,"clock_position":389,"value":299},{"alpha_index":679,"clock_position":679,"value":181},{"alpha_index":969,"clock_position":969,"value":4},{"alpha_index":1259,"clock_position":1259,"value":181},{"alpha_index":1549,"clock_position":1549,"value":299}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-100","alpha_indices":[100,390,680,970,1260,1550],"clock_positions":[100,390,680,970,1260,1550],"native_values":[75,370,75,75,370,75],"rotation_degrees":20.689655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":100,"clock_position":100,"value":75},{"alpha_index":390,"clock_position":390,"value":370},{"alpha_index":680,"clock_position":680,"value":75},{"alpha_index":970,"clock_position":970,"value":75},{"alpha_index":1260,"clock_position":1260,"value":370},{"alpha_index":1550,"clock_position":1550,"value":75}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-101","alpha_indices":[101,391,681,971,1261,1551],"clock_positions":[101,391,681,971,1261,1551],"native_values":[551,79,256,79,551,374],"rotation_degrees":20.896551724137932,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":101,"clock_position":101,"value":551},{"alpha_index":391,"clock_position":391,"value":79},{"alpha_index":681,"clock_position":681,"value":256},{"alpha_index":971,"clock_position":971,"value":79},{"alpha_index":1261,"clock_position":1261,"value":551},{"alpha_index":1551,"clock_position":1551,"value":374}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-102","alpha_indices":[102,392,682,972,1262,1552],"clock_positions":[102,392,682,972,1262,1552],"native_values":[36,449,331,154,331,449],"rotation_degrees":21.103448275862068,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":102,"clock_position":102,"value":36},{"alpha_index":392,"clock_position":392,"value":449},{"alpha_index":682,"clock_position":682,"value":331},{"alpha_index":972,"clock_position":972,"value":154},{"alpha_index":1262,"clock_position":1262,"value":331},{"alpha_index":1552,"clock_position":1552,"value":449}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-103","alpha_indices":[103,393,683,973,1263,1553],"clock_positions":[103,393,683,973,1263,1553],"native_values":[587,528,587,233,292,233],"rotation_degrees":21.310344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":103,"clock_position":103,"value":587},{"alpha_index":393,"clock_position":393,"value":528},{"alpha_index":683,"clock_position":683,"value":587},{"alpha_index":973,"clock_position":973,"value":233},{"alpha_index":1263,"clock_position":1263,"value":292},{"alpha_index":1553,"clock_position":1553,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-104","alpha_indices":[104,394,684,974,1264,1554],"clock_positions":[104,394,684,974,1264,1554],"native_values":[33,387,328,387,33,92],"rotation_degrees":21.517241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":104,"clock_position":104,"value":33},{"alpha_index":394,"clock_position":394,"value":387},{"alpha_index":684,"clock_position":684,"value":328},{"alpha_index":974,"clock_position":974,"value":387},{"alpha_index":1264,"clock_position":1264,"value":33},{"alpha_index":1554,"clock_position":1554,"value":92}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-105","alpha_indices":[105,395,685,975,1265,1555],"clock_positions":[105,395,685,975,1265,1555],"native_values":[30,325,325,30,325,325],"rotation_degrees":21.724137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":105,"clock_position":105,"value":30},{"alpha_index":395,"clock_position":395,"value":325},{"alpha_index":685,"clock_position":685,"value":325},{"alpha_index":975,"clock_position":975,"value":30},{"alpha_index":1265,"clock_position":1265,"value":325},{"alpha_index":1555,"clock_position":1555,"value":325}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-106","alpha_indices":[106,396,686,976,1266,1556],"clock_positions":[106,396,686,976,1266,1556],"native_values":[63,122,63,417,358,417],"rotation_degrees":21.93103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":106,"clock_position":106,"value":63},{"alpha_index":396,"clock_position":396,"value":122},{"alpha_index":686,"clock_position":686,"value":63},{"alpha_index":976,"clock_position":976,"value":417},{"alpha_index":1266,"clock_position":1266,"value":358},{"alpha_index":1556,"clock_position":1556,"value":417}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-107","alpha_indices":[107,397,687,977,1267,1557],"clock_positions":[107,397,687,977,1267,1557],"native_values":[93,447,388,447,93,152],"rotation_degrees":22.137931034482758,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":107,"clock_position":107,"value":93},{"alpha_index":397,"clock_position":397,"value":447},{"alpha_index":687,"clock_position":687,"value":388},{"alpha_index":977,"clock_position":977,"value":447},{"alpha_index":1267,"clock_position":1267,"value":93},{"alpha_index":1557,"clock_position":1557,"value":152}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-108","alpha_indices":[108,398,688,978,1268,1558],"clock_positions":[108,398,688,978,1268,1558],"native_values":[156,569,451,274,451,569],"rotation_degrees":22.344827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":108,"clock_position":108,"value":156},{"alpha_index":398,"clock_position":398,"value":569},{"alpha_index":688,"clock_position":688,"value":451},{"alpha_index":978,"clock_position":978,"value":274},{"alpha_index":1268,"clock_position":1268,"value":451},{"alpha_index":1558,"clock_position":1558,"value":569}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-109","alpha_indices":[109,399,689,979,1269,1559],"clock_positions":[109,399,689,979,1269,1559],"native_values":[249,426,249,131,544,131],"rotation_degrees":22.551724137931036,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":109,"clock_position":109,"value":249},{"alpha_index":399,"clock_position":399,"value":426},{"alpha_index":689,"clock_position":689,"value":249},{"alpha_index":979,"clock_position":979,"value":131},{"alpha_index":1269,"clock_position":1269,"value":544},{"alpha_index":1559,"clock_position":1559,"value":131}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-110","alpha_indices":[110,400,690,980,1270,1560],"clock_positions":[110,400,690,980,1270,1560],"native_values":[405,405,110,405,405,110],"rotation_degrees":22.75862068965517,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":110,"clock_position":110,"value":405},{"alpha_index":400,"clock_position":400,"value":405},{"alpha_index":690,"clock_position":690,"value":110},{"alpha_index":980,"clock_position":980,"value":405},{"alpha_index":1270,"clock_position":1270,"value":405},{"alpha_index":1560,"clock_position":1560,"value":110}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-111","alpha_indices":[111,401,691,981,1271,1561],"clock_positions":[111,401,691,981,1271,1561],"native_values":[64,241,359,536,359,241],"rotation_degrees":22.96551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":111,"clock_position":111,"value":64},{"alpha_index":401,"clock_position":401,"value":241},{"alpha_index":691,"clock_position":691,"value":359},{"alpha_index":981,"clock_position":981,"value":536},{"alpha_index":1271,"clock_position":1271,"value":359},{"alpha_index":1561,"clock_position":1561,"value":241}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-112","alpha_indices":[112,402,692,982,1272,1562],"clock_positions":[112,402,692,982,1272,1562],"native_values":[469,56,469,351,174,351],"rotation_degrees":23.17241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":112,"clock_position":112,"value":469},{"alpha_index":402,"clock_position":402,"value":56},{"alpha_index":692,"clock_position":692,"value":469},{"alpha_index":982,"clock_position":982,"value":351},{"alpha_index":1272,"clock_position":1272,"value":174},{"alpha_index":1562,"clock_position":1562,"value":351}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-113","alpha_indices":[113,403,693,983,1273,1563],"clock_positions":[113,403,693,983,1273,1563],"native_values":[533,297,238,297,533,2],"rotation_degrees":23.379310344827587,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":113,"clock_position":113,"value":533},{"alpha_index":403,"clock_position":403,"value":297},{"alpha_index":693,"clock_position":693,"value":238},{"alpha_index":983,"clock_position":983,"value":297},{"alpha_index":1273,"clock_position":1273,"value":533},{"alpha_index":1563,"clock_position":1563,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-114","alpha_indices":[114,404,694,984,1274,1564],"clock_positions":[114,404,694,984,1274,1564],"native_values":[412,353,117,58,117,353],"rotation_degrees":23.586206896551722,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":114,"clock_position":114,"value":412},{"alpha_index":404,"clock_position":404,"value":353},{"alpha_index":694,"clock_position":694,"value":117},{"alpha_index":984,"clock_position":984,"value":58},{"alpha_index":1274,"clock_position":1274,"value":117},{"alpha_index":1564,"clock_position":1564,"value":353}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-115","alpha_indices":[115,405,695,985,1275,1565],"clock_positions":[115,405,695,985,1275,1565],"native_values":[355,60,355,355,60,355],"rotation_degrees":23.79310344827586,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":115,"clock_position":115,"value":355},{"alpha_index":405,"clock_position":405,"value":60},{"alpha_index":695,"clock_position":695,"value":355},{"alpha_index":985,"clock_position":985,"value":355},{"alpha_index":1275,"clock_position":1275,"value":60},{"alpha_index":1565,"clock_position":1565,"value":355}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-116","alpha_indices":[116,406,696,986,1276,1566],"clock_positions":[116,406,696,986,1276,1566],"native_values":[177,413,472,413,177,118],"rotation_degrees":24.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":116,"clock_position":116,"value":177},{"alpha_index":406,"clock_position":406,"value":413},{"alpha_index":696,"clock_position":696,"value":472},{"alpha_index":986,"clock_position":986,"value":413},{"alpha_index":1276,"clock_position":1276,"value":177},{"alpha_index":1566,"clock_position":1566,"value":118}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-117","alpha_indices":[117,407,697,987,1277,1567],"clock_positions":[117,407,697,987,1277,1567],"native_values":[532,473,237,178,237,473],"rotation_degrees":24.20689655172414,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":117,"clock_position":117,"value":532},{"alpha_index":407,"clock_position":407,"value":473},{"alpha_index":697,"clock_position":697,"value":237},{"alpha_index":987,"clock_position":987,"value":178},{"alpha_index":1277,"clock_position":1277,"value":237},{"alpha_index":1567,"clock_position":1567,"value":473}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-118","alpha_indices":[118,408,698,988,1278,1568],"clock_positions":[118,408,698,988,1278,1568],"native_values":[119,296,119,1,414,1],"rotation_degrees":24.413793103448278,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":118,"clock_position":118,"value":119},{"alpha_index":408,"clock_position":408,"value":296},{"alpha_index":698,"clock_position":698,"value":119},{"alpha_index":988,"clock_position":988,"value":1},{"alpha_index":1278,"clock_position":1278,"value":414},{"alpha_index":1568,"clock_position":1568,"value":1}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-119","alpha_indices":[119,409,699,989,1279,1569],"clock_positions":[119,409,699,989,1279,1569],"native_values":[61,179,356,179,61,474],"rotation_degrees":24.620689655172413,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":119,"clock_position":119,"value":61},{"alpha_index":409,"clock_position":409,"value":179},{"alpha_index":699,"clock_position":699,"value":356},{"alpha_index":989,"clock_position":989,"value":179},{"alpha_index":1279,"clock_position":1279,"value":61},{"alpha_index":1569,"clock_position":1569,"value":474}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-120","alpha_indices":[120,410,700,990,1280,1570],"clock_positions":[120,410,700,990,1280,1570],"native_values":[180,475,475,180,475,475],"rotation_degrees":24.82758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":120,"clock_position":120,"value":180},{"alpha_index":410,"clock_position":410,"value":475},{"alpha_index":700,"clock_position":700,"value":475},{"alpha_index":990,"clock_position":990,"value":180},{"alpha_index":1280,"clock_position":1280,"value":475},{"alpha_index":1570,"clock_position":1570,"value":475}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-121","alpha_indices":[121,411,701,991,1281,1571],"clock_positions":[121,411,701,991,1281,1571],"native_values":[241,64,241,359,536,359],"rotation_degrees":25.03448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":121,"clock_position":121,"value":241},{"alpha_index":411,"clock_position":411,"value":64},{"alpha_index":701,"clock_position":701,"value":241},{"alpha_index":991,"clock_position":991,"value":359},{"alpha_index":1281,"clock_position":1281,"value":536},{"alpha_index":1571,"clock_position":1571,"value":359}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-122","alpha_indices":[122,412,702,992,1282,1572],"clock_positions":[122,412,702,992,1282,1572],"native_values":[421,539,126,539,421,244],"rotation_degrees":25.24137931034483,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":122,"clock_position":122,"value":421},{"alpha_index":412,"clock_position":412,"value":539},{"alpha_index":702,"clock_position":702,"value":126},{"alpha_index":992,"clock_position":992,"value":539},{"alpha_index":1282,"clock_position":1282,"value":421},{"alpha_index":1572,"clock_position":1572,"value":244}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-123","alpha_indices":[123,413,703,993,1283,1573],"clock_positions":[123,413,703,993,1283,1573],"native_values":[72,13,367,308,367,13],"rotation_degrees":25.448275862068964,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":123,"clock_position":123,"value":72},{"alpha_index":413,"clock_position":413,"value":13},{"alpha_index":703,"clock_position":703,"value":367},{"alpha_index":993,"clock_position":993,"value":308},{"alpha_index":1283,"clock_position":1283,"value":367},{"alpha_index":1573,"clock_position":1573,"value":13}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-124","alpha_indices":[124,414,704,994,1284,1574],"clock_positions":[124,414,704,994,1284,1574],"native_values":[493,552,493,257,198,257],"rotation_degrees":25.655172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":124,"clock_position":124,"value":493},{"alpha_index":414,"clock_position":414,"value":552},{"alpha_index":704,"clock_position":704,"value":493},{"alpha_index":994,"clock_position":994,"value":257},{"alpha_index":1284,"clock_position":1284,"value":198},{"alpha_index":1574,"clock_position":1574,"value":257}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-125","alpha_indices":[125,415,705,995,1285,1575],"clock_positions":[125,415,705,995,1285,1575],"native_values":[565,565,270,565,565,270],"rotation_degrees":25.862068965517242,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":125,"clock_position":125,"value":565},{"alpha_index":415,"clock_position":415,"value":565},{"alpha_index":705,"clock_position":705,"value":270},{"alpha_index":995,"clock_position":995,"value":565},{"alpha_index":1285,"clock_position":1285,"value":565},{"alpha_index":1575,"clock_position":1575,"value":270}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-126","alpha_indices":[126,416,706,996,1286,1576],"clock_positions":[126,416,706,996,1286,1576],"native_values":[468,527,173,232,173,527],"rotation_degrees":26.06896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":126,"clock_position":126,"value":468},{"alpha_index":416,"clock_position":416,"value":527},{"alpha_index":706,"clock_position":706,"value":173},{"alpha_index":996,"clock_position":996,"value":232},{"alpha_index":1286,"clock_position":1286,"value":173},{"alpha_index":1576,"clock_position":1576,"value":527}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-127","alpha_indices":[127,417,707,997,1287,1577],"clock_positions":[127,417,707,997,1287,1577],"native_values":[443,502,443,207,148,207],"rotation_degrees":26.275862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":127,"clock_position":127,"value":443},{"alpha_index":417,"clock_position":417,"value":502},{"alpha_index":707,"clock_position":707,"value":443},{"alpha_index":997,"clock_position":997,"value":207},{"alpha_index":1287,"clock_position":1287,"value":148},{"alpha_index":1577,"clock_position":1577,"value":207}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-128","alpha_indices":[128,418,708,998,1288,1578],"clock_positions":[128,418,708,998,1288,1578],"native_values":[321,439,26,439,321,144],"rotation_degrees":26.482758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":128,"clock_position":128,"value":321},{"alpha_index":418,"clock_position":418,"value":439},{"alpha_index":708,"clock_position":708,"value":26},{"alpha_index":998,"clock_position":998,"value":439},{"alpha_index":1288,"clock_position":1288,"value":321},{"alpha_index":1578,"clock_position":1578,"value":144}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-129","alpha_indices":[129,419,709,999,1289,1579],"clock_positions":[129,419,709,999,1289,1579],"native_values":[174,351,469,56,469,351],"rotation_degrees":26.689655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":129,"clock_position":129,"value":174},{"alpha_index":419,"clock_position":419,"value":351},{"alpha_index":709,"clock_position":709,"value":469},{"alpha_index":999,"clock_position":999,"value":56},{"alpha_index":1289,"clock_position":1289,"value":469},{"alpha_index":1579,"clock_position":1579,"value":351}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-130","alpha_indices":[130,420,710,1000,1290,1580],"clock_positions":[130,420,710,1000,1290,1580],"native_values":[495,200,495,495,200,495],"rotation_degrees":26.896551724137932,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":130,"clock_position":130,"value":495},{"alpha_index":420,"clock_position":420,"value":200},{"alpha_index":710,"clock_position":710,"value":495},{"alpha_index":1000,"clock_position":1000,"value":495},{"alpha_index":1290,"clock_position":1290,"value":200},{"alpha_index":1580,"clock_position":1580,"value":495}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-131","alpha_indices":[131,421,711,1001,1291,1581],"clock_positions":[131,421,711,1001,1291,1581],"native_values":[79,551,374,551,79,256],"rotation_degrees":27.103448275862068,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":131,"clock_position":131,"value":79},{"alpha_index":421,"clock_position":421,"value":551},{"alpha_index":711,"clock_position":711,"value":374},{"alpha_index":1001,"clock_position":1001,"value":551},{"alpha_index":1291,"clock_position":1291,"value":79},{"alpha_index":1581,"clock_position":1581,"value":256}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-132","alpha_indices":[132,422,712,1002,1292,1582],"clock_positions":[132,422,712,1002,1292,1582],"native_values":[574,161,279,456,279,161],"rotation_degrees":27.310344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":132,"clock_position":132,"value":574},{"alpha_index":422,"clock_position":422,"value":161},{"alpha_index":712,"clock_position":712,"value":279},{"alpha_index":1002,"clock_position":1002,"value":456},{"alpha_index":1292,"clock_position":1292,"value":279},{"alpha_index":1582,"clock_position":1582,"value":161}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-133","alpha_indices":[133,423,713,1003,1293,1583],"clock_positions":[133,423,713,1003,1293,1583],"native_values":[63,122,63,417,358,417],"rotation_degrees":27.517241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":133,"clock_position":133,"value":63},{"alpha_index":423,"clock_position":423,"value":122},{"alpha_index":713,"clock_position":713,"value":63},{"alpha_index":1003,"clock_position":1003,"value":417},{"alpha_index":1293,"clock_position":1293,"value":358},{"alpha_index":1583,"clock_position":1583,"value":417}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-134","alpha_indices":[134,424,714,1004,1294,1584],"clock_positions":[134,424,714,1004,1294,1584],"native_values":[47,283,342,283,47,578],"rotation_degrees":27.724137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":134,"clock_position":134,"value":47},{"alpha_index":424,"clock_position":424,"value":283},{"alpha_index":714,"clock_position":714,"value":342},{"alpha_index":1004,"clock_position":1004,"value":283},{"alpha_index":1294,"clock_position":1294,"value":47},{"alpha_index":1584,"clock_position":1584,"value":578}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-135","alpha_indices":[135,425,715,1005,1295,1585],"clock_positions":[135,425,715,1005,1295,1585],"native_values":[110,405,405,110,405,405],"rotation_degrees":27.93103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":135,"clock_position":135,"value":110},{"alpha_index":425,"clock_position":425,"value":405},{"alpha_index":715,"clock_position":715,"value":405},{"alpha_index":1005,"clock_position":1005,"value":110},{"alpha_index":1295,"clock_position":1295,"value":405},{"alpha_index":1585,"clock_position":1585,"value":405}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-136","alpha_indices":[136,426,716,1006,1296,1586],"clock_positions":[136,426,716,1006,1296,1586],"native_values":[157,98,157,393,452,393],"rotation_degrees":28.137931034482758,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":136,"clock_position":136,"value":157},{"alpha_index":426,"clock_position":426,"value":98},{"alpha_index":716,"clock_position":716,"value":157},{"alpha_index":1006,"clock_position":1006,"value":393},{"alpha_index":1296,"clock_position":1296,"value":452},{"alpha_index":1586,"clock_position":1586,"value":393}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-137","alpha_indices":[137,427,717,1007,1297,1587],"clock_positions":[137,427,717,1007,1297,1587],"native_values":[267,503,562,503,267,208],"rotation_degrees":28.344827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":137,"clock_position":137,"value":267},{"alpha_index":427,"clock_position":427,"value":503},{"alpha_index":717,"clock_position":717,"value":562},{"alpha_index":1007,"clock_position":1007,"value":503},{"alpha_index":1297,"clock_position":1297,"value":267},{"alpha_index":1587,"clock_position":1587,"value":208}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-138","alpha_indices":[138,428,718,1008,1298,1588],"clock_positions":[138,428,718,1008,1298,1588],"native_values":[424,11,129,306,129,11],"rotation_degrees":28.551724137931036,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":138,"clock_position":138,"value":424},{"alpha_index":428,"clock_position":428,"value":11},{"alpha_index":718,"clock_position":718,"value":129},{"alpha_index":1008,"clock_position":1008,"value":306},{"alpha_index":1298,"clock_position":1298,"value":129},{"alpha_index":1588,"clock_position":1588,"value":11}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-139","alpha_indices":[139,429,719,1009,1299,1589],"clock_positions":[139,429,719,1009,1299,1589],"native_values":[101,514,101,219,396,219],"rotation_degrees":28.75862068965517,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":139,"clock_position":139,"value":101},{"alpha_index":429,"clock_position":429,"value":514},{"alpha_index":719,"clock_position":719,"value":101},{"alpha_index":1009,"clock_position":1009,"value":219},{"alpha_index":1299,"clock_position":1299,"value":396},{"alpha_index":1589,"clock_position":1589,"value":219}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-140","alpha_indices":[140,430,720,1010,1300,1590],"clock_positions":[140,430,720,1010,1300,1590],"native_values":[525,525,230,525,525,230],"rotation_degrees":28.96551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":140,"clock_position":140,"value":525},{"alpha_index":430,"clock_position":430,"value":525},{"alpha_index":720,"clock_position":720,"value":230},{"alpha_index":1010,"clock_position":1010,"value":525},{"alpha_index":1300,"clock_position":1300,"value":525},{"alpha_index":1590,"clock_position":1590,"value":230}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-141","alpha_indices":[141,431,721,1011,1301,1591],"clock_positions":[141,431,721,1011,1301,1591],"native_values":[36,449,331,154,331,449],"rotation_degrees":29.17241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":141,"clock_position":141,"value":36},{"alpha_index":431,"clock_position":431,"value":449},{"alpha_index":721,"clock_position":721,"value":331},{"alpha_index":1011,"clock_position":1011,"value":154},{"alpha_index":1301,"clock_position":1301,"value":331},{"alpha_index":1591,"clock_position":1591,"value":449}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-142","alpha_indices":[142,432,722,1012,1302,1592],"clock_positions":[142,432,722,1012,1302,1592],"native_values":[561,384,561,89,266,89],"rotation_degrees":29.379310344827587,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":142,"clock_position":142,"value":561},{"alpha_index":432,"clock_position":432,"value":384},{"alpha_index":722,"clock_position":722,"value":561},{"alpha_index":1012,"clock_position":1012,"value":89},{"alpha_index":1302,"clock_position":1302,"value":266},{"alpha_index":1592,"clock_position":1592,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-143","alpha_indices":[143,433,723,1013,1303,1593],"clock_positions":[143,433,723,1013,1303,1593],"native_values":[7,243,302,243,7,538],"rotation_degrees":29.586206896551722,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":143,"clock_position":143,"value":7},{"alpha_index":433,"clock_position":433,"value":243},{"alpha_index":723,"clock_position":723,"value":302},{"alpha_index":1013,"clock_position":1013,"value":243},{"alpha_index":1303,"clock_position":1303,"value":7},{"alpha_index":1593,"clock_position":1593,"value":538}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-144","alpha_indices":[144,434,724,1014,1304,1594],"clock_positions":[144,434,724,1014,1304,1594],"native_values":[568,37,273,332,273,37],"rotation_degrees":29.79310344827586,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":144,"clock_position":144,"value":568},{"alpha_index":434,"clock_position":434,"value":37},{"alpha_index":724,"clock_position":724,"value":273},{"alpha_index":1014,"clock_position":1014,"value":332},{"alpha_index":1304,"clock_position":1304,"value":273},{"alpha_index":1594,"clock_position":1594,"value":37}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-145","alpha_indices":[145,435,725,1015,1305,1595],"clock_positions":[145,435,725,1015,1305,1595],"native_values":[575,280,575,575,280,575],"rotation_degrees":30.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":145,"clock_position":145,"value":575},{"alpha_index":435,"clock_position":435,"value":280},{"alpha_index":725,"clock_position":725,"value":575},{"alpha_index":1015,"clock_position":1015,"value":575},{"alpha_index":1305,"clock_position":1305,"value":280},{"alpha_index":1595,"clock_position":1595,"value":575}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-146","alpha_indices":[146,436,726,1016,1306,1596],"clock_positions":[146,436,726,1016,1306,1596],"native_values":[553,317,258,317,553,22],"rotation_degrees":30.20689655172414,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":146,"clock_position":146,"value":553},{"alpha_index":436,"clock_position":436,"value":317},{"alpha_index":726,"clock_position":726,"value":258},{"alpha_index":1016,"clock_position":1016,"value":317},{"alpha_index":1306,"clock_position":1306,"value":553},{"alpha_index":1596,"clock_position":1596,"value":22}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-147","alpha_indices":[147,437,727,1017,1307,1597],"clock_positions":[147,437,727,1017,1307,1597],"native_values":[538,7,243,302,243,7],"rotation_degrees":30.413793103448278,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":147,"clock_position":147,"value":538},{"alpha_index":437,"clock_position":437,"value":7},{"alpha_index":727,"clock_position":727,"value":243},{"alpha_index":1017,"clock_position":1017,"value":302},{"alpha_index":1307,"clock_position":1307,"value":243},{"alpha_index":1597,"clock_position":1597,"value":7}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-148","alpha_indices":[148,438,728,1018,1308,1598],"clock_positions":[148,438,728,1018,1308,1598],"native_values":[501,324,501,29,206,29],"rotation_degrees":30.620689655172413,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":148,"clock_position":148,"value":501},{"alpha_index":438,"clock_position":438,"value":324},{"alpha_index":728,"clock_position":728,"value":501},{"alpha_index":1018,"clock_position":1018,"value":29},{"alpha_index":1308,"clock_position":1308,"value":206},{"alpha_index":1598,"clock_position":1598,"value":29}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-149","alpha_indices":[149,439,729,1019,1309,1599],"clock_positions":[149,439,729,1019,1309,1599],"native_values":[449,331,154,331,449,36],"rotation_degrees":30.82758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":149,"clock_position":149,"value":449},{"alpha_index":439,"clock_position":439,"value":331},{"alpha_index":729,"clock_position":729,"value":154},{"alpha_index":1019,"clock_position":1019,"value":331},{"alpha_index":1309,"clock_position":1309,"value":449},{"alpha_index":1599,"clock_position":1599,"value":36}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-150","alpha_indices":[150,440,730,1020,1310,1600],"clock_positions":[150,440,730,1020,1310,1600],"native_values":[360,65,65,360,65,65],"rotation_degrees":31.03448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":150,"clock_position":150,"value":360},{"alpha_index":440,"clock_position":440,"value":65},{"alpha_index":730,"clock_position":730,"value":65},{"alpha_index":1020,"clock_position":1020,"value":360},{"alpha_index":1310,"clock_position":1310,"value":65},{"alpha_index":1600,"clock_position":1600,"value":65}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-151","alpha_indices":[151,441,731,1021,1311,1601],"clock_positions":[151,441,731,1021,1311,1601],"native_values":[219,396,219,101,514,101],"rotation_degrees":31.24137931034483,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":151,"clock_position":151,"value":219},{"alpha_index":441,"clock_position":441,"value":396},{"alpha_index":731,"clock_position":731,"value":219},{"alpha_index":1021,"clock_position":1021,"value":101},{"alpha_index":1311,"clock_position":1311,"value":514},{"alpha_index":1601,"clock_position":1601,"value":101}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-152","alpha_indices":[152,442,732,1022,1312,1602],"clock_positions":[152,442,732,1022,1312,1602],"native_values":[579,461,284,461,579,166],"rotation_degrees":31.448275862068964,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":152,"clock_position":152,"value":579},{"alpha_index":442,"clock_position":442,"value":461},{"alpha_index":732,"clock_position":732,"value":284},{"alpha_index":1022,"clock_position":1022,"value":461},{"alpha_index":1312,"clock_position":1312,"value":579},{"alpha_index":1602,"clock_position":1602,"value":166}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-153","alpha_indices":[153,443,733,1023,1313,1603],"clock_positions":[153,443,733,1023,1313,1603],"native_values":[208,267,503,562,503,267],"rotation_degrees":31.655172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":153,"clock_position":153,"value":208},{"alpha_index":443,"clock_position":443,"value":267},{"alpha_index":733,"clock_position":733,"value":503},{"alpha_index":1023,"clock_position":1023,"value":562},{"alpha_index":1313,"clock_position":1313,"value":503},{"alpha_index":1603,"clock_position":1603,"value":267}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-154","alpha_indices":[154,444,734,1024,1314,1604],"clock_positions":[154,444,734,1024,1314,1604],"native_values":[197,138,197,433,492,433],"rotation_degrees":31.862068965517242,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":154,"clock_position":154,"value":197},{"alpha_index":444,"clock_position":444,"value":138},{"alpha_index":734,"clock_position":734,"value":197},{"alpha_index":1024,"clock_position":1024,"value":433},{"alpha_index":1314,"clock_position":1314,"value":492},{"alpha_index":1604,"clock_position":1604,"value":433}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-155","alpha_indices":[155,445,735,1025,1315,1605],"clock_positions":[155,445,735,1025,1315,1605],"native_values":[405,405,110,405,405,110],"rotation_degrees":32.06896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":155,"clock_position":155,"value":405},{"alpha_index":445,"clock_position":445,"value":405},{"alpha_index":735,"clock_position":735,"value":110},{"alpha_index":1025,"clock_position":1025,"value":405},{"alpha_index":1315,"clock_position":1315,"value":405},{"alpha_index":1605,"clock_position":1605,"value":110}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-156","alpha_indices":[156,446,736,1026,1316,1606],"clock_positions":[156,446,736,1026,1316,1606],"native_values":[12,543,307,248,307,543],"rotation_degrees":32.275862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":156,"clock_position":156,"value":12},{"alpha_index":446,"clock_position":446,"value":543},{"alpha_index":736,"clock_position":736,"value":307},{"alpha_index":1026,"clock_position":1026,"value":248},{"alpha_index":1316,"clock_position":1316,"value":307},{"alpha_index":1606,"clock_position":1606,"value":543}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-157","alpha_indices":[157,447,737,1027,1317,1607],"clock_positions":[157,447,737,1027,1317,1607],"native_values":[417,358,417,63,122,63],"rotation_degrees":32.48275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":157,"clock_position":157,"value":417},{"alpha_index":447,"clock_position":447,"value":358},{"alpha_index":737,"clock_position":737,"value":417},{"alpha_index":1027,"clock_position":1027,"value":63},{"alpha_index":1317,"clock_position":1317,"value":122},{"alpha_index":1607,"clock_position":1607,"value":63}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-158","alpha_indices":[158,448,738,1028,1318,1608],"clock_positions":[158,448,738,1028,1318,1608],"native_values":[429,311,134,311,429,16],"rotation_degrees":32.689655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":158,"clock_position":158,"value":429},{"alpha_index":448,"clock_position":448,"value":311},{"alpha_index":738,"clock_position":738,"value":134},{"alpha_index":1028,"clock_position":1028,"value":311},{"alpha_index":1318,"clock_position":1318,"value":429},{"alpha_index":1608,"clock_position":1608,"value":16}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-159","alpha_indices":[159,449,739,1029,1319,1609],"clock_positions":[159,449,739,1029,1319,1609],"native_values":[256,79,551,374,551,79],"rotation_degrees":32.89655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":159,"clock_position":159,"value":256},{"alpha_index":449,"clock_position":449,"value":79},{"alpha_index":739,"clock_position":739,"value":551},{"alpha_index":1029,"clock_position":1029,"value":374},{"alpha_index":1319,"clock_position":1319,"value":551},{"alpha_index":1609,"clock_position":1609,"value":79}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-160","alpha_indices":[160,450,740,1030,1320,1610],"clock_positions":[160,450,740,1030,1320,1610],"native_values":[95,390,95,95,390,95],"rotation_degrees":33.10344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":160,"clock_position":160,"value":95},{"alpha_index":450,"clock_position":450,"value":390},{"alpha_index":740,"clock_position":740,"value":95},{"alpha_index":1030,"clock_position":1030,"value":95},{"alpha_index":1320,"clock_position":1320,"value":390},{"alpha_index":1610,"clock_position":1610,"value":95}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-161","alpha_indices":[161,451,741,1031,1321,1611],"clock_positions":[161,451,741,1031,1321,1611],"native_values":[351,469,56,469,351,174],"rotation_degrees":33.310344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":161,"clock_position":161,"value":351},{"alpha_index":451,"clock_position":451,"value":469},{"alpha_index":741,"clock_position":741,"value":56},{"alpha_index":1031,"clock_position":1031,"value":469},{"alpha_index":1321,"clock_position":1321,"value":351},{"alpha_index":1611,"clock_position":1611,"value":174}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-162","alpha_indices":[162,452,742,1032,1322,1612],"clock_positions":[162,452,742,1032,1322,1612],"native_values":[446,269,151,564,151,269],"rotation_degrees":33.51724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":162,"clock_position":162,"value":446},{"alpha_index":452,"clock_position":452,"value":269},{"alpha_index":742,"clock_position":742,"value":151},{"alpha_index":1032,"clock_position":1032,"value":564},{"alpha_index":1322,"clock_position":1322,"value":151},{"alpha_index":1612,"clock_position":1612,"value":269}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-163","alpha_indices":[163,453,743,1033,1323,1613],"clock_positions":[163,453,743,1033,1323,1613],"native_values":[207,148,207,443,502,443],"rotation_degrees":33.724137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":163,"clock_position":163,"value":207},{"alpha_index":453,"clock_position":453,"value":148},{"alpha_index":743,"clock_position":743,"value":207},{"alpha_index":1033,"clock_position":1033,"value":443},{"alpha_index":1323,"clock_position":1323,"value":502},{"alpha_index":1613,"clock_position":1613,"value":443}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-164","alpha_indices":[164,454,744,1034,1324,1614],"clock_positions":[164,454,744,1034,1324,1614],"native_values":[63,417,358,417,63,122],"rotation_degrees":33.93103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":164,"clock_position":164,"value":63},{"alpha_index":454,"clock_position":454,"value":417},{"alpha_index":744,"clock_position":744,"value":358},{"alpha_index":1034,"clock_position":1034,"value":417},{"alpha_index":1324,"clock_position":1324,"value":63},{"alpha_index":1614,"clock_position":1614,"value":122}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-165","alpha_indices":[165,455,745,1035,1325,1615],"clock_positions":[165,455,745,1035,1325,1615],"native_values":[270,565,565,270,565,565],"rotation_degrees":34.13793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":165,"clock_position":165,"value":270},{"alpha_index":455,"clock_position":455,"value":565},{"alpha_index":745,"clock_position":745,"value":565},{"alpha_index":1035,"clock_position":1035,"value":270},{"alpha_index":1325,"clock_position":1325,"value":565},{"alpha_index":1615,"clock_position":1615,"value":565}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-166","alpha_indices":[166,456,746,1036,1326,1616],"clock_positions":[166,456,746,1036,1326,1616],"native_values":[333,392,333,97,38,97],"rotation_degrees":34.3448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":166,"clock_position":166,"value":333},{"alpha_index":456,"clock_position":456,"value":392},{"alpha_index":746,"clock_position":746,"value":333},{"alpha_index":1036,"clock_position":1036,"value":97},{"alpha_index":1326,"clock_position":1326,"value":38},{"alpha_index":1616,"clock_position":1616,"value":97}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-167","alpha_indices":[167,457,747,1037,1327,1617],"clock_positions":[167,457,747,1037,1327,1617],"native_values":[13,367,308,367,13,72],"rotation_degrees":34.55172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":167,"clock_position":167,"value":13},{"alpha_index":457,"clock_position":457,"value":367},{"alpha_index":747,"clock_position":747,"value":308},{"alpha_index":1037,"clock_position":1037,"value":367},{"alpha_index":1327,"clock_position":1327,"value":13},{"alpha_index":1617,"clock_position":1617,"value":72}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-168","alpha_indices":[168,458,748,1038,1328,1618],"clock_positions":[168,458,748,1038,1328,1618],"native_values":[346,169,51,464,51,169],"rotation_degrees":34.758620689655174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":168,"clock_position":168,"value":346},{"alpha_index":458,"clock_position":458,"value":169},{"alpha_index":748,"clock_position":748,"value":51},{"alpha_index":1038,"clock_position":1038,"value":464},{"alpha_index":1328,"clock_position":1328,"value":51},{"alpha_index":1618,"clock_position":1618,"value":169}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-169","alpha_indices":[169,459,749,1039,1329,1619],"clock_positions":[169,459,749,1039,1329,1619],"native_values":[359,536,359,241,64,241],"rotation_degrees":34.96551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":169,"clock_position":169,"value":359},{"alpha_index":459,"clock_position":459,"value":536},{"alpha_index":749,"clock_position":749,"value":359},{"alpha_index":1039,"clock_position":1039,"value":241},{"alpha_index":1329,"clock_position":1329,"value":64},{"alpha_index":1619,"clock_position":1619,"value":241}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-170","alpha_indices":[170,460,750,1040,1330,1620],"clock_positions":[170,460,750,1040,1330,1620],"native_values":[115,115,410,115,115,410],"rotation_degrees":35.172413793103445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":170,"clock_position":170,"value":115},{"alpha_index":460,"clock_position":460,"value":115},{"alpha_index":750,"clock_position":750,"value":410},{"alpha_index":1040,"clock_position":1040,"value":115},{"alpha_index":1330,"clock_position":1330,"value":115},{"alpha_index":1620,"clock_position":1620,"value":410}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-171","alpha_indices":[171,461,751,1041,1331,1621],"clock_positions":[171,461,751,1041,1331,1621],"native_values":[474,61,179,356,179,61],"rotation_degrees":35.37931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":171,"clock_position":171,"value":474},{"alpha_index":461,"clock_position":461,"value":61},{"alpha_index":751,"clock_position":751,"value":179},{"alpha_index":1041,"clock_position":1041,"value":356},{"alpha_index":1331,"clock_position":1331,"value":179},{"alpha_index":1621,"clock_position":1621,"value":61}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-172","alpha_indices":[172,462,752,1042,1332,1622],"clock_positions":[172,462,752,1042,1332,1622],"native_values":[589,176,589,471,294,471],"rotation_degrees":35.58620689655172,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":172,"clock_position":172,"value":589},{"alpha_index":462,"clock_position":462,"value":176},{"alpha_index":752,"clock_position":752,"value":589},{"alpha_index":1042,"clock_position":1042,"value":471},{"alpha_index":1332,"clock_position":1332,"value":294},{"alpha_index":1622,"clock_position":1622,"value":471}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-173","alpha_indices":[173,463,753,1043,1333,1623],"clock_positions":[173,463,753,1043,1333,1623],"native_values":[473,237,178,237,473,532],"rotation_degrees":35.793103448275865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":173,"clock_position":173,"value":473},{"alpha_index":463,"clock_position":463,"value":237},{"alpha_index":753,"clock_position":753,"value":178},{"alpha_index":1043,"clock_position":1043,"value":237},{"alpha_index":1333,"clock_position":1333,"value":473},{"alpha_index":1623,"clock_position":1623,"value":532}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-174","alpha_indices":[174,464,754,1044,1334,1624],"clock_positions":[174,464,754,1044,1334,1624],"native_values":[472,413,177,118,177,413],"rotation_degrees":36.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":174,"clock_position":174,"value":472},{"alpha_index":464,"clock_position":464,"value":413},{"alpha_index":754,"clock_position":754,"value":177},{"alpha_index":1044,"clock_position":1044,"value":118},{"alpha_index":1334,"clock_position":1334,"value":177},{"alpha_index":1624,"clock_position":1624,"value":413}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-175","alpha_indices":[175,465,755,1045,1335,1625],"clock_positions":[175,465,755,1045,1335,1625],"native_values":[355,60,355,355,60,355],"rotation_degrees":36.206896551724135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":175,"clock_position":175,"value":355},{"alpha_index":465,"clock_position":465,"value":60},{"alpha_index":755,"clock_position":755,"value":355},{"alpha_index":1045,"clock_position":1045,"value":355},{"alpha_index":1335,"clock_position":1335,"value":60},{"alpha_index":1625,"clock_position":1625,"value":355}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-176","alpha_indices":[176,466,756,1046,1336,1626],"clock_positions":[176,466,756,1046,1336,1626],"native_values":[237,473,532,473,237,178],"rotation_degrees":36.41379310344828,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":176,"clock_position":176,"value":237},{"alpha_index":466,"clock_position":466,"value":473},{"alpha_index":756,"clock_position":756,"value":532},{"alpha_index":1046,"clock_position":1046,"value":473},{"alpha_index":1336,"clock_position":1336,"value":237},{"alpha_index":1626,"clock_position":1626,"value":178}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-177","alpha_indices":[177,467,757,1047,1337,1627],"clock_positions":[177,467,757,1047,1337,1627],"native_values":[2,533,297,238,297,533],"rotation_degrees":36.62068965517241,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":177,"clock_position":177,"value":2},{"alpha_index":467,"clock_position":467,"value":533},{"alpha_index":757,"clock_position":757,"value":297},{"alpha_index":1047,"clock_position":1047,"value":238},{"alpha_index":1337,"clock_position":1337,"value":297},{"alpha_index":1627,"clock_position":1627,"value":533}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-178","alpha_indices":[178,468,758,1048,1338,1628],"clock_positions":[178,468,758,1048,1338,1628],"native_values":[239,416,239,121,534,121],"rotation_degrees":36.827586206896555,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":178,"clock_position":178,"value":239},{"alpha_index":468,"clock_position":468,"value":416},{"alpha_index":758,"clock_position":758,"value":239},{"alpha_index":1048,"clock_position":1048,"value":121},{"alpha_index":1338,"clock_position":1338,"value":534},{"alpha_index":1628,"clock_position":1628,"value":121}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-179","alpha_indices":[179,469,759,1049,1339,1629],"clock_positions":[179,469,759,1049,1339,1629],"native_values":[241,359,536,359,241,64],"rotation_degrees":37.03448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":179,"clock_position":179,"value":241},{"alpha_index":469,"clock_position":469,"value":359},{"alpha_index":759,"clock_position":759,"value":536},{"alpha_index":1049,"clock_position":1049,"value":359},{"alpha_index":1339,"clock_position":1339,"value":241},{"alpha_index":1629,"clock_position":1629,"value":64}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-180","alpha_indices":[180,470,760,1050,1340,1630],"clock_positions":[180,470,760,1050,1340,1630],"native_values":[480,185,185,480,185,185],"rotation_degrees":37.241379310344826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":180,"clock_position":180,"value":480},{"alpha_index":470,"clock_position":470,"value":185},{"alpha_index":760,"clock_position":760,"value":185},{"alpha_index":1050,"clock_position":1050,"value":480},{"alpha_index":1340,"clock_position":1340,"value":185},{"alpha_index":1630,"clock_position":1630,"value":185}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-181","alpha_indices":[181,471,761,1051,1341,1631],"clock_positions":[181,471,761,1051,1341,1631],"native_values":[131,544,131,249,426,249],"rotation_degrees":37.44827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":181,"clock_position":181,"value":131},{"alpha_index":471,"clock_position":471,"value":544},{"alpha_index":761,"clock_position":761,"value":131},{"alpha_index":1051,"clock_position":1051,"value":249},{"alpha_index":1341,"clock_position":1341,"value":426},{"alpha_index":1631,"clock_position":1631,"value":249}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-182","alpha_indices":[182,472,762,1052,1342,1632],"clock_positions":[182,472,762,1052,1342,1632],"native_values":[21,139,316,139,21,434],"rotation_degrees":37.6551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":182,"clock_position":182,"value":21},{"alpha_index":472,"clock_position":472,"value":139},{"alpha_index":762,"clock_position":762,"value":316},{"alpha_index":1052,"clock_position":1052,"value":139},{"alpha_index":1342,"clock_position":1342,"value":21},{"alpha_index":1632,"clock_position":1632,"value":434}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-183","alpha_indices":[183,473,763,1053,1343,1633],"clock_positions":[183,473,763,1053,1343,1633],"native_values":[152,93,447,388,447,93],"rotation_degrees":37.86206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":183,"clock_position":183,"value":152},{"alpha_index":473,"clock_position":473,"value":93},{"alpha_index":763,"clock_position":763,"value":447},{"alpha_index":1053,"clock_position":1053,"value":388},{"alpha_index":1343,"clock_position":1343,"value":447},{"alpha_index":1633,"clock_position":1633,"value":93}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-184","alpha_indices":[184,474,764,1054,1344,1634],"clock_positions":[184,474,764,1054,1344,1634],"native_values":[173,232,173,527,468,527],"rotation_degrees":38.06896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":184,"clock_position":184,"value":173},{"alpha_index":474,"clock_position":474,"value":232},{"alpha_index":764,"clock_position":764,"value":173},{"alpha_index":1054,"clock_position":1054,"value":527},{"alpha_index":1344,"clock_position":1344,"value":468},{"alpha_index":1634,"clock_position":1634,"value":527}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-185","alpha_indices":[185,475,765,1055,1345,1635],"clock_positions":[185,475,765,1055,1345,1635],"native_values":[325,325,30,325,325,30],"rotation_degrees":38.275862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":185,"clock_position":185,"value":325},{"alpha_index":475,"clock_position":475,"value":325},{"alpha_index":765,"clock_position":765,"value":30},{"alpha_index":1055,"clock_position":1055,"value":325},{"alpha_index":1345,"clock_position":1345,"value":325},{"alpha_index":1635,"clock_position":1635,"value":30}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-186","alpha_indices":[186,476,766,1056,1346,1636],"clock_positions":[186,476,766,1056,1346,1636],"native_values":[498,557,203,262,203,557],"rotation_degrees":38.48275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":186,"clock_position":186,"value":498},{"alpha_index":476,"clock_position":476,"value":557},{"alpha_index":766,"clock_position":766,"value":203},{"alpha_index":1056,"clock_position":1056,"value":262},{"alpha_index":1346,"clock_position":1346,"value":203},{"alpha_index":1636,"clock_position":1636,"value":557}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-187","alpha_indices":[187,477,767,1057,1347,1637],"clock_positions":[187,477,767,1057,1347,1637],"native_values":[233,292,233,587,528,587],"rotation_degrees":38.689655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":187,"clock_position":187,"value":233},{"alpha_index":477,"clock_position":477,"value":292},{"alpha_index":767,"clock_position":767,"value":233},{"alpha_index":1057,"clock_position":1057,"value":587},{"alpha_index":1347,"clock_position":1347,"value":528},{"alpha_index":1637,"clock_position":1637,"value":587}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-188","alpha_indices":[188,478,768,1058,1348,1638],"clock_positions":[188,478,768,1058,1348,1638],"native_values":[141,259,436,259,141,554],"rotation_degrees":38.89655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":188,"clock_position":188,"value":141},{"alpha_index":478,"clock_position":478,"value":259},{"alpha_index":768,"clock_position":768,"value":436},{"alpha_index":1058,"clock_position":1058,"value":259},{"alpha_index":1348,"clock_position":1348,"value":141},{"alpha_index":1638,"clock_position":1638,"value":554}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-189","alpha_indices":[189,479,769,1059,1349,1639],"clock_positions":[189,479,769,1059,1349,1639],"native_values":[374,551,79,256,79,551],"rotation_degrees":39.10344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":189,"clock_position":189,"value":374},{"alpha_index":479,"clock_position":479,"value":551},{"alpha_index":769,"clock_position":769,"value":79},{"alpha_index":1059,"clock_position":1059,"value":256},{"alpha_index":1349,"clock_position":1349,"value":79},{"alpha_index":1639,"clock_position":1639,"value":551}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-190","alpha_indices":[190,480,770,1060,1350,1640],"clock_positions":[190,480,770,1060,1350,1640],"native_values":[515,220,515,515,220,515],"rotation_degrees":39.310344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":190,"clock_position":190,"value":515},{"alpha_index":480,"clock_position":480,"value":220},{"alpha_index":770,"clock_position":770,"value":515},{"alpha_index":1060,"clock_position":1060,"value":515},{"alpha_index":1350,"clock_position":1350,"value":220},{"alpha_index":1640,"clock_position":1640,"value":515}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-191","alpha_indices":[191,481,771,1061,1351,1641],"clock_positions":[191,481,771,1061,1351,1641],"native_values":[299,181,4,181,299,476],"rotation_degrees":39.51724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":191,"clock_position":191,"value":299},{"alpha_index":481,"clock_position":481,"value":181},{"alpha_index":771,"clock_position":771,"value":4},{"alpha_index":1061,"clock_position":1061,"value":181},{"alpha_index":1351,"clock_position":1351,"value":299},{"alpha_index":1641,"clock_position":1641,"value":476}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-192","alpha_indices":[192,482,772,1062,1352,1642],"clock_positions":[192,482,772,1062,1352,1642],"native_values":[224,401,519,106,519,401],"rotation_degrees":39.724137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":192,"clock_position":192,"value":224},{"alpha_index":482,"clock_position":482,"value":401},{"alpha_index":772,"clock_position":772,"value":519},{"alpha_index":1062,"clock_position":1062,"value":106},{"alpha_index":1352,"clock_position":1352,"value":519},{"alpha_index":1642,"clock_position":1642,"value":401}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-193","alpha_indices":[193,483,773,1063,1353,1643],"clock_positions":[193,483,773,1063,1353,1643],"native_values":[523,582,523,287,228,287],"rotation_degrees":39.93103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":193,"clock_position":193,"value":523},{"alpha_index":483,"clock_position":483,"value":582},{"alpha_index":773,"clock_position":773,"value":523},{"alpha_index":1063,"clock_position":1063,"value":287},{"alpha_index":1353,"clock_position":1353,"value":228},{"alpha_index":1643,"clock_position":1643,"value":287}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-194","alpha_indices":[194,484,774,1064,1354,1644],"clock_positions":[194,484,774,1064,1354,1644],"native_values":[157,393,452,393,157,98],"rotation_degrees":40.13793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":194,"clock_position":194,"value":157},{"alpha_index":484,"clock_position":484,"value":393},{"alpha_index":774,"clock_position":774,"value":452},{"alpha_index":1064,"clock_position":1064,"value":393},{"alpha_index":1354,"clock_position":1354,"value":157},{"alpha_index":1644,"clock_position":1644,"value":98}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-195","alpha_indices":[195,485,775,1065,1355,1645],"clock_positions":[195,485,775,1065,1355,1645],"native_values":[90,385,385,90,385,385],"rotation_degrees":40.3448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":195,"clock_position":195,"value":90},{"alpha_index":485,"clock_position":485,"value":385},{"alpha_index":775,"clock_position":775,"value":385},{"alpha_index":1065,"clock_position":1065,"value":90},{"alpha_index":1355,"clock_position":1355,"value":385},{"alpha_index":1645,"clock_position":1645,"value":385}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-196","alpha_indices":[196,486,776,1066,1356,1646],"clock_positions":[196,486,776,1066,1356,1646],"native_values":[247,188,247,483,542,483],"rotation_degrees":40.55172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":196,"clock_position":196,"value":247},{"alpha_index":486,"clock_position":486,"value":188},{"alpha_index":776,"clock_position":776,"value":247},{"alpha_index":1066,"clock_position":1066,"value":483},{"alpha_index":1356,"clock_position":1356,"value":542},{"alpha_index":1646,"clock_position":1646,"value":483}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-197","alpha_indices":[197,487,777,1067,1357,1647],"clock_positions":[197,487,777,1067,1357,1647],"native_values":[337,573,42,573,337,278],"rotation_degrees":40.758620689655174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":197,"clock_position":197,"value":337},{"alpha_index":487,"clock_position":487,"value":573},{"alpha_index":777,"clock_position":777,"value":42},{"alpha_index":1067,"clock_position":1067,"value":573},{"alpha_index":1357,"clock_position":1357,"value":337},{"alpha_index":1647,"clock_position":1647,"value":278}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-198","alpha_indices":[198,488,778,1068,1358,1648],"clock_positions":[198,488,778,1068,1358,1648],"native_values":[584,171,289,466,289,171],"rotation_degrees":40.96551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":198,"clock_position":198,"value":584},{"alpha_index":488,"clock_position":488,"value":171},{"alpha_index":778,"clock_position":778,"value":289},{"alpha_index":1068,"clock_position":1068,"value":466},{"alpha_index":1358,"clock_position":1358,"value":289},{"alpha_index":1648,"clock_position":1648,"value":171}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-199","alpha_indices":[199,489,779,1069,1359,1649],"clock_positions":[199,489,779,1069,1359,1649],"native_values":[331,154,331,449,36,449],"rotation_degrees":41.172413793103445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":199,"clock_position":199,"value":331},{"alpha_index":489,"clock_position":489,"value":154},{"alpha_index":779,"clock_position":779,"value":331},{"alpha_index":1069,"clock_position":1069,"value":449},{"alpha_index":1359,"clock_position":1359,"value":36},{"alpha_index":1649,"clock_position":1649,"value":449}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-200","alpha_indices":[200,490,780,1070,1360,1650],"clock_positions":[200,490,780,1070,1360,1650],"native_values":[325,325,30,325,325,30],"rotation_degrees":41.37931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":200,"clock_position":200,"value":325},{"alpha_index":490,"clock_position":490,"value":325},{"alpha_index":780,"clock_position":780,"value":30},{"alpha_index":1070,"clock_position":1070,"value":325},{"alpha_index":1360,"clock_position":1360,"value":325},{"alpha_index":1650,"clock_position":1650,"value":30}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-201","alpha_indices":[201,491,781,1071,1361,1651],"clock_positions":[201,491,781,1071,1361,1651],"native_values":[66,479,361,184,361,479],"rotation_degrees":41.58620689655172,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":201,"clock_position":201,"value":66},{"alpha_index":491,"clock_position":491,"value":479},{"alpha_index":781,"clock_position":781,"value":361},{"alpha_index":1071,"clock_position":1071,"value":184},{"alpha_index":1361,"clock_position":1361,"value":361},{"alpha_index":1651,"clock_position":1651,"value":479}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-202","alpha_indices":[202,492,782,1072,1362,1652],"clock_positions":[202,492,782,1072,1362,1652],"native_values":[391,214,391,509,96,509],"rotation_degrees":41.793103448275865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":202,"clock_position":202,"value":391},{"alpha_index":492,"clock_position":492,"value":214},{"alpha_index":782,"clock_position":782,"value":391},{"alpha_index":1072,"clock_position":1072,"value":509},{"alpha_index":1362,"clock_position":1362,"value":96},{"alpha_index":1652,"clock_position":1652,"value":509}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-203","alpha_indices":[203,493,783,1073,1363,1653],"clock_positions":[203,493,783,1073,1363,1653],"native_values":[457,103,162,103,457,398],"rotation_degrees":42.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":203,"clock_position":203,"value":457},{"alpha_index":493,"clock_position":493,"value":103},{"alpha_index":783,"clock_position":783,"value":162},{"alpha_index":1073,"clock_position":1073,"value":103},{"alpha_index":1363,"clock_position":1363,"value":457},{"alpha_index":1653,"clock_position":1653,"value":398}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-204","alpha_indices":[204,494,784,1074,1364,1654],"clock_positions":[204,494,784,1074,1364,1654],"native_values":[258,317,553,22,553,317],"rotation_degrees":42.206896551724135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":204,"clock_position":204,"value":258},{"alpha_index":494,"clock_position":494,"value":317},{"alpha_index":784,"clock_position":784,"value":553},{"alpha_index":1074,"clock_position":1074,"value":22},{"alpha_index":1364,"clock_position":1364,"value":553},{"alpha_index":1654,"clock_position":1654,"value":317}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-205","alpha_indices":[205,495,785,1075,1365,1655],"clock_positions":[205,495,785,1075,1365,1655],"native_values":[125,420,125,125,420,125],"rotation_degrees":42.41379310344828,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":205,"clock_position":205,"value":125},{"alpha_index":495,"clock_position":495,"value":420},{"alpha_index":785,"clock_position":785,"value":125},{"alpha_index":1075,"clock_position":1075,"value":125},{"alpha_index":1365,"clock_position":1365,"value":420},{"alpha_index":1655,"clock_position":1655,"value":125}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-206","alpha_indices":[206,496,786,1076,1366,1656],"clock_positions":[206,496,786,1076,1366,1656],"native_values":[383,147,88,147,383,442],"rotation_degrees":42.62068965517241,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":206,"clock_position":206,"value":383},{"alpha_index":496,"clock_position":496,"value":147},{"alpha_index":786,"clock_position":786,"value":88},{"alpha_index":1076,"clock_position":1076,"value":147},{"alpha_index":1366,"clock_position":1366,"value":383},{"alpha_index":1656,"clock_position":1656,"value":442}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-207","alpha_indices":[207,497,787,1077,1367,1657],"clock_positions":[207,497,787,1077,1367,1657],"native_values":[508,567,213,272,213,567],"rotation_degrees":42.827586206896555,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":207,"clock_position":207,"value":508},{"alpha_index":497,"clock_position":497,"value":567},{"alpha_index":787,"clock_position":787,"value":213},{"alpha_index":1077,"clock_position":1077,"value":272},{"alpha_index":1367,"clock_position":1367,"value":213},{"alpha_index":1657,"clock_position":1657,"value":567}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-208","alpha_indices":[208,498,788,1078,1368,1658],"clock_positions":[208,498,788,1078,1368,1658],"native_values":[301,124,301,419,6,419],"rotation_degrees":43.03448275862069,"missing_required_values":[3,9],"failing_nodes":[{"alpha_index":208,"clock_position":208,"value":301},{"alpha_index":498,"clock_position":498,"value":124},{"alpha_index":788,"clock_position":788,"value":301},{"alpha_index":1078,"clock_position":1078,"value":419},{"alpha_index":1658,"clock_position":1658,"value":419}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-209","alpha_indices":[209,499,789,1079,1369,1659],"clock_positions":[209,499,789,1079,1369,1659],"native_values":[219,101,514,101,219,396],"rotation_degrees":43.241379310344826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":209,"clock_position":209,"value":219},{"alpha_index":499,"clock_position":499,"value":101},{"alpha_index":789,"clock_position":789,"value":514},{"alpha_index":1079,"clock_position":1079,"value":101},{"alpha_index":1369,"clock_position":1369,"value":219},{"alpha_index":1659,"clock_position":1659,"value":396}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-210","alpha_indices":[210,500,790,1080,1370,1660],"clock_positions":[210,500,790,1080,1370,1660],"native_values":[520,225,225,520,225,225],"rotation_degrees":43.44827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":210,"clock_position":210,"value":520},{"alpha_index":500,"clock_position":500,"value":225},{"alpha_index":790,"clock_position":790,"value":225},{"alpha_index":1080,"clock_position":1080,"value":520},{"alpha_index":1370,"clock_position":1370,"value":225},{"alpha_index":1660,"clock_position":1660,"value":225}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-211","alpha_indices":[211,501,791,1081,1371,1661],"clock_positions":[211,501,791,1081,1371,1661],"native_values":[149,326,149,31,444,31],"rotation_degrees":43.6551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":211,"clock_position":211,"value":149},{"alpha_index":501,"clock_position":501,"value":326},{"alpha_index":791,"clock_position":791,"value":149},{"alpha_index":1081,"clock_position":1081,"value":31},{"alpha_index":1371,"clock_position":1371,"value":444},{"alpha_index":1661,"clock_position":1661,"value":31}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-212","alpha_indices":[212,502,792,1082,1372,1662],"clock_positions":[212,502,792,1082,1372,1662],"native_values":[79,551,374,551,79,256],"rotation_degrees":43.86206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":212,"clock_position":212,"value":79},{"alpha_index":502,"clock_position":502,"value":551},{"alpha_index":792,"clock_position":792,"value":374},{"alpha_index":1082,"clock_position":1082,"value":551},{"alpha_index":1372,"clock_position":1372,"value":79},{"alpha_index":1662,"clock_position":1662,"value":256}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-213","alpha_indices":[213,503,793,1083,1373,1663],"clock_positions":[213,503,793,1083,1373,1663],"native_values":[228,287,523,582,523,287],"rotation_degrees":44.06896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":213,"clock_position":213,"value":228},{"alpha_index":503,"clock_position":503,"value":287},{"alpha_index":793,"clock_position":793,"value":523},{"alpha_index":1083,"clock_position":1083,"value":582},{"alpha_index":1373,"clock_position":1373,"value":523},{"alpha_index":1663,"clock_position":1663,"value":287}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-214","alpha_indices":[214,504,794,1084,1374,1664],"clock_positions":[214,504,794,1084,1374,1664],"native_values":[307,248,307,543,12,543],"rotation_degrees":44.275862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":214,"clock_position":214,"value":307},{"alpha_index":504,"clock_position":504,"value":248},{"alpha_index":794,"clock_position":794,"value":307},{"alpha_index":1084,"clock_position":1084,"value":543},{"alpha_index":1374,"clock_position":1374,"value":12},{"alpha_index":1664,"clock_position":1664,"value":543}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-215","alpha_indices":[215,505,795,1085,1375,1665],"clock_positions":[215,505,795,1085,1375,1665],"native_values":[535,535,240,535,535,240],"rotation_degrees":44.48275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":215,"clock_position":215,"value":535},{"alpha_index":505,"clock_position":505,"value":535},{"alpha_index":795,"clock_position":795,"value":240},{"alpha_index":1085,"clock_position":1085,"value":535},{"alpha_index":1375,"clock_position":1375,"value":535},{"alpha_index":1665,"clock_position":1665,"value":240}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-216","alpha_indices":[216,506,796,1086,1376,1666],"clock_positions":[216,506,796,1086,1376,1666],"native_values":[252,193,547,488,547,193],"rotation_degrees":44.689655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":216,"clock_position":216,"value":252},{"alpha_index":506,"clock_position":506,"value":193},{"alpha_index":796,"clock_position":796,"value":547},{"alpha_index":1086,"clock_position":1086,"value":488},{"alpha_index":1376,"clock_position":1376,"value":547},{"alpha_index":1666,"clock_position":1666,"value":193}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-217","alpha_indices":[217,507,797,1087,1377,1667],"clock_positions":[217,507,797,1087,1377,1667],"native_values":[197,138,197,433,492,433],"rotation_degrees":44.89655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":217,"clock_position":217,"value":197},{"alpha_index":507,"clock_position":507,"value":138},{"alpha_index":797,"clock_position":797,"value":197},{"alpha_index":1087,"clock_position":1087,"value":433},{"alpha_index":1377,"clock_position":1377,"value":492},{"alpha_index":1667,"clock_position":1667,"value":433}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-218","alpha_indices":[218,508,798,1088,1378,1668],"clock_positions":[218,508,798,1088,1378,1668],"native_values":[449,331,154,331,449,36],"rotation_degrees":45.10344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":218,"clock_position":218,"value":449},{"alpha_index":508,"clock_position":508,"value":331},{"alpha_index":798,"clock_position":798,"value":154},{"alpha_index":1088,"clock_position":1088,"value":331},{"alpha_index":1378,"clock_position":1378,"value":449},{"alpha_index":1668,"clock_position":1668,"value":36}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-219","alpha_indices":[219,509,799,1089,1379,1669],"clock_positions":[219,509,799,1089,1379,1669],"native_values":[56,469,351,174,351,469],"rotation_degrees":45.310344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":219,"clock_position":219,"value":56},{"alpha_index":509,"clock_position":509,"value":469},{"alpha_index":799,"clock_position":799,"value":351},{"alpha_index":1089,"clock_position":1089,"value":174},{"alpha_index":1379,"clock_position":1379,"value":351},{"alpha_index":1669,"clock_position":1669,"value":469}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-220","alpha_indices":[220,510,800,1090,1380,1670],"clock_positions":[220,510,800,1090,1380,1670],"native_values":[505,210,505,505,210,505],"rotation_degrees":45.51724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":220,"clock_position":220,"value":505},{"alpha_index":510,"clock_position":510,"value":210},{"alpha_index":800,"clock_position":800,"value":505},{"alpha_index":1090,"clock_position":1090,"value":505},{"alpha_index":1380,"clock_position":1380,"value":210},{"alpha_index":1670,"clock_position":1670,"value":505}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-221","alpha_indices":[221,511,801,1091,1381,1671],"clock_positions":[221,511,801,1091,1381,1671],"native_values":[561,89,266,89,561,384],"rotation_degrees":45.724137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":221,"clock_position":221,"value":561},{"alpha_index":511,"clock_position":511,"value":89},{"alpha_index":801,"clock_position":801,"value":266},{"alpha_index":1091,"clock_position":1091,"value":89},{"alpha_index":1381,"clock_position":1381,"value":561},{"alpha_index":1671,"clock_position":1671,"value":384}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-222","alpha_indices":[222,512,802,1092,1382,1672],"clock_positions":[222,512,802,1092,1382,1672],"native_values":[476,299,181,4,181,299],"rotation_degrees":45.93103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":222,"clock_position":222,"value":476},{"alpha_index":512,"clock_position":512,"value":299},{"alpha_index":802,"clock_position":802,"value":181},{"alpha_index":1092,"clock_position":1092,"value":4},{"alpha_index":1382,"clock_position":1382,"value":181},{"alpha_index":1672,"clock_position":1672,"value":299}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-223","alpha_indices":[223,513,803,1093,1383,1673],"clock_positions":[223,513,803,1093,1383,1673],"native_values":[447,388,447,93,152,93],"rotation_degrees":46.13793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":223,"clock_position":223,"value":447},{"alpha_index":513,"clock_position":513,"value":388},{"alpha_index":803,"clock_position":803,"value":447},{"alpha_index":1093,"clock_position":1093,"value":93},{"alpha_index":1383,"clock_position":1383,"value":152},{"alpha_index":1673,"clock_position":1673,"value":93}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-224","alpha_indices":[224,514,804,1094,1384,1674],"clock_positions":[224,514,804,1094,1384,1674],"native_values":[333,97,38,97,333,392],"rotation_degrees":46.3448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":224,"clock_position":224,"value":333},{"alpha_index":514,"clock_position":514,"value":97},{"alpha_index":804,"clock_position":804,"value":38},{"alpha_index":1094,"clock_position":1094,"value":97},{"alpha_index":1384,"clock_position":1384,"value":333},{"alpha_index":1674,"clock_position":1674,"value":392}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-225","alpha_indices":[225,515,805,1095,1385,1675],"clock_positions":[225,515,805,1095,1385,1675],"native_values":[190,485,485,190,485,485],"rotation_degrees":46.55172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":225,"clock_position":225,"value":190},{"alpha_index":515,"clock_position":515,"value":485},{"alpha_index":805,"clock_position":805,"value":485},{"alpha_index":1095,"clock_position":1095,"value":190},{"alpha_index":1385,"clock_position":1385,"value":485},{"alpha_index":1675,"clock_position":1675,"value":485}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-226","alpha_indices":[226,516,806,1096,1386,1676],"clock_positions":[226,516,806,1096,1386,1676],"native_values":[523,582,523,287,228,287],"rotation_degrees":46.758620689655174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":226,"clock_position":226,"value":523},{"alpha_index":516,"clock_position":516,"value":582},{"alpha_index":806,"clock_position":806,"value":523},{"alpha_index":1096,"clock_position":1096,"value":287},{"alpha_index":1386,"clock_position":1386,"value":228},{"alpha_index":1676,"clock_position":1676,"value":287}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-227","alpha_indices":[227,517,807,1097,1387,1677],"clock_positions":[227,517,807,1097,1387,1677],"native_values":[123,477,418,477,123,182],"rotation_degrees":46.96551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":227,"clock_position":227,"value":123},{"alpha_index":517,"clock_position":517,"value":477},{"alpha_index":807,"clock_position":807,"value":418},{"alpha_index":1097,"clock_position":1097,"value":477},{"alpha_index":1387,"clock_position":1387,"value":123},{"alpha_index":1677,"clock_position":1677,"value":182}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-228","alpha_indices":[228,518,808,1098,1388,1678],"clock_positions":[228,518,808,1098,1388,1678],"native_values":[56,469,351,174,351,469],"rotation_degrees":47.172413793103445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":228,"clock_position":228,"value":56},{"alpha_index":518,"clock_position":518,"value":469},{"alpha_index":808,"clock_position":808,"value":351},{"alpha_index":1098,"clock_position":1098,"value":174},{"alpha_index":1388,"clock_position":1388,"value":351},{"alpha_index":1678,"clock_position":1678,"value":469}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-229","alpha_indices":[229,519,809,1099,1389,1679],"clock_positions":[229,519,809,1099,1389,1679],"native_values":[179,356,179,61,474,61],"rotation_degrees":47.37931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":229,"clock_position":229,"value":179},{"alpha_index":519,"clock_position":519,"value":356},{"alpha_index":809,"clock_position":809,"value":179},{"alpha_index":1099,"clock_position":1099,"value":61},{"alpha_index":1389,"clock_position":1389,"value":474},{"alpha_index":1679,"clock_position":1679,"value":61}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-230","alpha_indices":[230,520,810,1100,1390,1680],"clock_positions":[230,520,810,1100,1390,1680],"native_values":[235,235,530,235,235,530],"rotation_degrees":47.58620689655172,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":230,"clock_position":230,"value":235},{"alpha_index":520,"clock_position":520,"value":235},{"alpha_index":810,"clock_position":810,"value":530},{"alpha_index":1100,"clock_position":1100,"value":235},{"alpha_index":1390,"clock_position":1390,"value":235},{"alpha_index":1680,"clock_position":1680,"value":530}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-231","alpha_indices":[231,521,811,1101,1391,1681],"clock_positions":[231,521,811,1101,1391,1681],"native_values":[414,1,119,296,119,1],"rotation_degrees":47.793103448275865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":231,"clock_position":231,"value":414},{"alpha_index":521,"clock_position":521,"value":1},{"alpha_index":811,"clock_position":811,"value":119},{"alpha_index":1101,"clock_position":1101,"value":296},{"alpha_index":1391,"clock_position":1391,"value":119},{"alpha_index":1681,"clock_position":1681,"value":1}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-232","alpha_indices":[232,522,812,1102,1392,1682],"clock_positions":[232,522,812,1102,1392,1682],"native_values":[59,236,59,531,354,531],"rotation_degrees":48.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":232,"clock_position":232,"value":59},{"alpha_index":522,"clock_position":522,"value":236},{"alpha_index":812,"clock_position":812,"value":59},{"alpha_index":1102,"clock_position":1102,"value":531},{"alpha_index":1392,"clock_position":1392,"value":354},{"alpha_index":1682,"clock_position":1682,"value":531}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-233","alpha_indices":[233,523,813,1103,1393,1683],"clock_positions":[233,523,813,1103,1393,1683],"native_values":[473,237,178,237,473,532],"rotation_degrees":48.206896551724135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":233,"clock_position":233,"value":473},{"alpha_index":523,"clock_position":523,"value":237},{"alpha_index":813,"clock_position":813,"value":178},{"alpha_index":1103,"clock_position":1103,"value":237},{"alpha_index":1393,"clock_position":1393,"value":473},{"alpha_index":1683,"clock_position":1683,"value":532}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-234","alpha_indices":[234,524,814,1104,1394,1684],"clock_positions":[234,524,814,1104,1394,1684],"native_values":[532,473,237,178,237,473],"rotation_degrees":48.41379310344828,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":234,"clock_position":234,"value":532},{"alpha_index":524,"clock_position":524,"value":473},{"alpha_index":814,"clock_position":814,"value":237},{"alpha_index":1104,"clock_position":1104,"value":178},{"alpha_index":1394,"clock_position":1394,"value":237},{"alpha_index":1684,"clock_position":1684,"value":473}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-235","alpha_indices":[235,525,815,1105,1395,1685],"clock_positions":[235,525,815,1105,1395,1685],"native_values":[415,120,415,415,120,415],"rotation_degrees":48.62068965517241,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":235,"clock_position":235,"value":415},{"alpha_index":525,"clock_position":525,"value":120},{"alpha_index":815,"clock_position":815,"value":415},{"alpha_index":1105,"clock_position":1105,"value":415},{"alpha_index":1395,"clock_position":1395,"value":120},{"alpha_index":1685,"clock_position":1685,"value":415}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-236","alpha_indices":[236,526,816,1106,1396,1686],"clock_positions":[236,526,816,1106,1396,1686],"native_values":[357,3,62,3,357,298],"rotation_degrees":48.827586206896555,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":236,"clock_position":236,"value":357},{"alpha_index":816,"clock_position":816,"value":62},{"alpha_index":1396,"clock_position":1396,"value":357},{"alpha_index":1686,"clock_position":1686,"value":298}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-237","alpha_indices":[237,527,817,1107,1397,1687],"clock_positions":[237,527,817,1107,1397,1687],"native_values":[182,123,477,418,477,123],"rotation_degrees":49.03448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":237,"clock_position":237,"value":182},{"alpha_index":527,"clock_position":527,"value":123},{"alpha_index":817,"clock_position":817,"value":477},{"alpha_index":1107,"clock_position":1107,"value":418},{"alpha_index":1397,"clock_position":1397,"value":477},{"alpha_index":1687,"clock_position":1687,"value":123}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-238","alpha_indices":[238,528,818,1108,1398,1688],"clock_positions":[238,528,818,1108,1398,1688],"native_values":[539,126,539,421,244,421],"rotation_degrees":49.241379310344826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":238,"clock_position":238,"value":539},{"alpha_index":528,"clock_position":528,"value":126},{"alpha_index":818,"clock_position":818,"value":539},{"alpha_index":1108,"clock_position":1108,"value":421},{"alpha_index":1398,"clock_position":1398,"value":244},{"alpha_index":1688,"clock_position":1688,"value":421}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-239","alpha_indices":[239,529,819,1109,1399,1689],"clock_positions":[239,529,819,1109,1399,1689],"native_values":[131,249,426,249,131,544],"rotation_degrees":49.44827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":239,"clock_position":239,"value":131},{"alpha_index":529,"clock_position":529,"value":249},{"alpha_index":819,"clock_position":819,"value":426},{"alpha_index":1109,"clock_position":1109,"value":249},{"alpha_index":1399,"clock_position":1399,"value":131},{"alpha_index":1689,"clock_position":1689,"value":544}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-240","alpha_indices":[240,530,820,1110,1400,1690],"clock_positions":[240,530,820,1110,1400,1690],"native_values":[80,375,375,80,375,375],"rotation_degrees":49.6551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":240,"clock_position":240,"value":80},{"alpha_index":530,"clock_position":530,"value":375},{"alpha_index":820,"clock_position":820,"value":375},{"alpha_index":1110,"clock_position":1110,"value":80},{"alpha_index":1400,"clock_position":1400,"value":375},{"alpha_index":1690,"clock_position":1690,"value":375}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-241","alpha_indices":[241,531,821,1111,1401,1691],"clock_positions":[241,531,821,1111,1401,1691],"native_values":[211,34,211,329,506,329],"rotation_degrees":49.86206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":241,"clock_position":241,"value":211},{"alpha_index":531,"clock_position":531,"value":34},{"alpha_index":821,"clock_position":821,"value":211},{"alpha_index":1111,"clock_position":1111,"value":329},{"alpha_index":1401,"clock_position":1401,"value":506},{"alpha_index":1691,"clock_position":1691,"value":329}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-242","alpha_indices":[242,532,822,1112,1402,1692],"clock_positions":[242,532,822,1112,1402,1692],"native_values":[291,409,586,409,291,114],"rotation_degrees":50.06896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":242,"clock_position":242,"value":291},{"alpha_index":532,"clock_position":532,"value":409},{"alpha_index":822,"clock_position":822,"value":586},{"alpha_index":1112,"clock_position":1112,"value":409},{"alpha_index":1402,"clock_position":1402,"value":291},{"alpha_index":1692,"clock_position":1692,"value":114}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-243","alpha_indices":[243,533,823,1113,1403,1693],"clock_positions":[243,533,823,1113,1403,1693],"native_values":[502,443,207,148,207,443],"rotation_degrees":50.275862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":243,"clock_position":243,"value":502},{"alpha_index":533,"clock_position":533,"value":443},{"alpha_index":823,"clock_position":823,"value":207},{"alpha_index":1113,"clock_position":1113,"value":148},{"alpha_index":1403,"clock_position":1403,"value":207},{"alpha_index":1693,"clock_position":1693,"value":443}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-244","alpha_indices":[244,534,824,1114,1404,1694],"clock_positions":[244,534,824,1114,1404,1694],"native_values":[203,262,203,557,498,557],"rotation_degrees":50.48275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":244,"clock_position":244,"value":203},{"alpha_index":534,"clock_position":534,"value":262},{"alpha_index":824,"clock_position":824,"value":203},{"alpha_index":1114,"clock_position":1114,"value":557},{"alpha_index":1404,"clock_position":1404,"value":498},{"alpha_index":1694,"clock_position":1694,"value":557}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-245","alpha_indices":[245,535,825,1115,1405,1695],"clock_positions":[245,535,825,1115,1405,1695],"native_values":[115,115,410,115,115,410],"rotation_degrees":50.689655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":245,"clock_position":245,"value":115},{"alpha_index":535,"clock_position":535,"value":115},{"alpha_index":825,"clock_position":825,"value":410},{"alpha_index":1115,"clock_position":1115,"value":115},{"alpha_index":1405,"clock_position":1405,"value":115},{"alpha_index":1695,"clock_position":1695,"value":410}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-246","alpha_indices":[246,536,826,1116,1406,1696],"clock_positions":[246,536,826,1116,1406,1696],"native_values":[318,377,23,82,23,377],"rotation_degrees":50.89655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":246,"clock_position":246,"value":318},{"alpha_index":536,"clock_position":536,"value":377},{"alpha_index":826,"clock_position":826,"value":23},{"alpha_index":1116,"clock_position":1116,"value":82},{"alpha_index":1406,"clock_position":1406,"value":23},{"alpha_index":1696,"clock_position":1696,"value":377}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-247","alpha_indices":[247,537,827,1117,1407,1697],"clock_positions":[247,537,827,1117,1407,1697],"native_values":[433,492,433,197,138,197],"rotation_degrees":51.10344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":247,"clock_position":247,"value":433},{"alpha_index":537,"clock_position":537,"value":492},{"alpha_index":827,"clock_position":827,"value":433},{"alpha_index":1117,"clock_position":1117,"value":197},{"alpha_index":1407,"clock_position":1407,"value":138},{"alpha_index":1697,"clock_position":1697,"value":197}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-248","alpha_indices":[248,538,828,1118,1408,1698],"clock_positions":[248,538,828,1118,1408,1698],"native_values":[161,279,456,279,161,574],"rotation_degrees":51.310344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":248,"clock_position":248,"value":161},{"alpha_index":538,"clock_position":538,"value":279},{"alpha_index":828,"clock_position":828,"value":456},{"alpha_index":1118,"clock_position":1118,"value":279},{"alpha_index":1408,"clock_position":1408,"value":161},{"alpha_index":1698,"clock_position":1698,"value":574}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-249","alpha_indices":[249,539,829,1119,1409,1699],"clock_positions":[249,539,829,1119,1409,1699],"native_values":[4,181,299,476,299,181],"rotation_degrees":51.51724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":249,"clock_position":249,"value":4},{"alpha_index":539,"clock_position":539,"value":181},{"alpha_index":829,"clock_position":829,"value":299},{"alpha_index":1119,"clock_position":1119,"value":476},{"alpha_index":1409,"clock_position":1409,"value":299},{"alpha_index":1699,"clock_position":1699,"value":181}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-250","alpha_indices":[250,540,830,1120,1410,1700],"clock_positions":[250,540,830,1120,1410,1700],"native_values":[165,460,165,165,460,165],"rotation_degrees":51.724137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":250,"clock_position":250,"value":165},{"alpha_index":540,"clock_position":540,"value":460},{"alpha_index":830,"clock_position":830,"value":165},{"alpha_index":1120,"clock_position":1120,"value":165},{"alpha_index":1410,"clock_position":1410,"value":460},{"alpha_index":1700,"clock_position":1700,"value":165}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-251","alpha_indices":[251,541,831,1121,1411,1701],"clock_positions":[251,541,831,1121,1411,1701],"native_values":[169,51,464,51,169,346],"rotation_degrees":51.93103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":251,"clock_position":251,"value":169},{"alpha_index":541,"clock_position":541,"value":51},{"alpha_index":831,"clock_position":831,"value":464},{"alpha_index":1121,"clock_position":1121,"value":51},{"alpha_index":1411,"clock_position":1411,"value":169},{"alpha_index":1701,"clock_position":1701,"value":346}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-252","alpha_indices":[252,542,832,1122,1412,1702],"clock_positions":[252,542,832,1122,1412,1702],"native_values":[334,511,39,216,39,511],"rotation_degrees":52.13793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":252,"clock_position":252,"value":334},{"alpha_index":542,"clock_position":542,"value":511},{"alpha_index":832,"clock_position":832,"value":39},{"alpha_index":1122,"clock_position":1122,"value":216},{"alpha_index":1412,"clock_position":1412,"value":39},{"alpha_index":1702,"clock_position":1702,"value":511}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-253","alpha_indices":[253,543,833,1123,1413,1703],"clock_positions":[253,543,833,1123,1413,1703],"native_values":[503,562,503,267,208,267],"rotation_degrees":52.3448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":253,"clock_position":253,"value":503},{"alpha_index":543,"clock_position":543,"value":562},{"alpha_index":833,"clock_position":833,"value":503},{"alpha_index":1123,"clock_position":1123,"value":267},{"alpha_index":1413,"clock_position":1413,"value":208},{"alpha_index":1703,"clock_position":1703,"value":267}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-254","alpha_indices":[254,544,834,1124,1414,1704],"clock_positions":[254,544,834,1124,1414,1704],"native_values":[247,483,542,483,247,188],"rotation_degrees":52.55172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":254,"clock_position":254,"value":247},{"alpha_index":544,"clock_position":544,"value":483},{"alpha_index":834,"clock_position":834,"value":542},{"alpha_index":1124,"clock_position":1124,"value":483},{"alpha_index":1414,"clock_position":1414,"value":247},{"alpha_index":1704,"clock_position":1704,"value":188}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-255","alpha_indices":[255,545,835,1125,1415,1705],"clock_positions":[255,545,835,1125,1415,1705],"native_values":[160,455,455,160,455,455],"rotation_degrees":52.758620689655174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":255,"clock_position":255,"value":160},{"alpha_index":545,"clock_position":545,"value":455},{"alpha_index":835,"clock_position":835,"value":455},{"alpha_index":1125,"clock_position":1125,"value":160},{"alpha_index":1415,"clock_position":1415,"value":455},{"alpha_index":1705,"clock_position":1705,"value":455}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-256","alpha_indices":[256,546,836,1126,1416,1706],"clock_positions":[256,546,836,1126,1416,1706],"native_values":[407,348,407,53,112,53],"rotation_degrees":52.96551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":256,"clock_position":256,"value":407},{"alpha_index":546,"clock_position":546,"value":348},{"alpha_index":836,"clock_position":836,"value":407},{"alpha_index":1126,"clock_position":1126,"value":53},{"alpha_index":1416,"clock_position":1416,"value":112},{"alpha_index":1706,"clock_position":1706,"value":53}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-257","alpha_indices":[257,547,837,1127,1417,1707],"clock_positions":[257,547,837,1127,1417,1707],"native_values":[567,213,272,213,567,508],"rotation_degrees":53.172413793103445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":257,"clock_position":257,"value":567},{"alpha_index":547,"clock_position":547,"value":213},{"alpha_index":837,"clock_position":837,"value":272},{"alpha_index":1127,"clock_position":1127,"value":213},{"alpha_index":1417,"clock_position":1417,"value":567},{"alpha_index":1707,"clock_position":1707,"value":508}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-258","alpha_indices":[258,548,838,1128,1418,1708],"clock_positions":[258,548,838,1128,1418,1708],"native_values":[384,561,89,266,89,561],"rotation_degrees":53.37931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":258,"clock_position":258,"value":384},{"alpha_index":548,"clock_position":548,"value":561},{"alpha_index":838,"clock_position":838,"value":89},{"alpha_index":1128,"clock_position":1128,"value":266},{"alpha_index":1418,"clock_position":1418,"value":89},{"alpha_index":1708,"clock_position":1708,"value":561}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-259","alpha_indices":[259,549,839,1129,1419,1709],"clock_positions":[259,549,839,1129,1419,1709],"native_values":[361,184,361,479,66,479],"rotation_degrees":53.58620689655172,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":259,"clock_position":259,"value":361},{"alpha_index":549,"clock_position":549,"value":184},{"alpha_index":839,"clock_position":839,"value":361},{"alpha_index":1129,"clock_position":1129,"value":479},{"alpha_index":1419,"clock_position":1419,"value":66},{"alpha_index":1709,"clock_position":1709,"value":479}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-260","alpha_indices":[260,550,840,1130,1420,1710],"clock_positions":[260,550,840,1130,1420,1710],"native_values":[155,155,450,155,155,450],"rotation_degrees":53.793103448275865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":260,"clock_position":260,"value":155},{"alpha_index":550,"clock_position":550,"value":155},{"alpha_index":840,"clock_position":840,"value":450},{"alpha_index":1130,"clock_position":1130,"value":155},{"alpha_index":1420,"clock_position":1420,"value":155},{"alpha_index":1710,"clock_position":1710,"value":450}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-261","alpha_indices":[261,551,841,1131,1421,1711],"clock_positions":[261,551,841,1131,1421,1711],"native_values":[516,339,221,44,221,339],"rotation_degrees":54.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":261,"clock_position":261,"value":516},{"alpha_index":551,"clock_position":551,"value":339},{"alpha_index":841,"clock_position":841,"value":221},{"alpha_index":1131,"clock_position":1131,"value":44},{"alpha_index":1421,"clock_position":1421,"value":221},{"alpha_index":1711,"clock_position":1711,"value":339}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-262","alpha_indices":[262,552,842,1132,1422,1712],"clock_positions":[262,552,842,1132,1422,1712],"native_values":[81,494,81,199,376,199],"rotation_degrees":54.206896551724135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":262,"clock_position":262,"value":81},{"alpha_index":552,"clock_position":552,"value":494},{"alpha_index":842,"clock_position":842,"value":81},{"alpha_index":1132,"clock_position":1132,"value":199},{"alpha_index":1422,"clock_position":1422,"value":376},{"alpha_index":1712,"clock_position":1712,"value":199}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-263","alpha_indices":[263,553,843,1133,1423,1713],"clock_positions":[263,553,843,1133,1423,1713],"native_values":[7,243,302,243,7,538],"rotation_degrees":54.41379310344828,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":263,"clock_position":263,"value":7},{"alpha_index":553,"clock_position":553,"value":243},{"alpha_index":843,"clock_position":843,"value":302},{"alpha_index":1133,"clock_position":1133,"value":243},{"alpha_index":1423,"clock_position":1423,"value":7},{"alpha_index":1713,"clock_position":1713,"value":538}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-264","alpha_indices":[264,554,844,1134,1424,1714],"clock_positions":[264,554,844,1134,1424,1714],"native_values":[88,147,383,442,383,147],"rotation_degrees":54.62068965517241,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":264,"clock_position":264,"value":88},{"alpha_index":554,"clock_position":554,"value":147},{"alpha_index":844,"clock_position":844,"value":383},{"alpha_index":1134,"clock_position":1134,"value":442},{"alpha_index":1424,"clock_position":1424,"value":383},{"alpha_index":1714,"clock_position":1714,"value":147}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-265","alpha_indices":[265,555,845,1135,1425,1715],"clock_positions":[265,555,845,1135,1425,1715],"native_values":[95,390,95,95,390,95],"rotation_degrees":54.827586206896555,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":265,"clock_position":265,"value":95},{"alpha_index":555,"clock_position":555,"value":390},{"alpha_index":845,"clock_position":845,"value":95},{"alpha_index":1135,"clock_position":1135,"value":95},{"alpha_index":1425,"clock_position":1425,"value":390},{"alpha_index":1715,"clock_position":1715,"value":95}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-266","alpha_indices":[266,556,846,1136,1426,1716],"clock_positions":[266,556,846,1136,1426,1716],"native_values":[183,537,478,537,183,242],"rotation_degrees":55.03448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":266,"clock_position":266,"value":183},{"alpha_index":556,"clock_position":556,"value":537},{"alpha_index":846,"clock_position":846,"value":478},{"alpha_index":1136,"clock_position":1136,"value":537},{"alpha_index":1426,"clock_position":1426,"value":183},{"alpha_index":1716,"clock_position":1716,"value":242}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-267","alpha_indices":[267,557,847,1137,1427,1717],"clock_positions":[267,557,847,1137,1427,1717],"native_values":[278,337,573,42,573,337],"rotation_degrees":55.241379310344826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":267,"clock_position":267,"value":278},{"alpha_index":557,"clock_position":557,"value":337},{"alpha_index":847,"clock_position":847,"value":573},{"alpha_index":1137,"clock_position":1137,"value":42},{"alpha_index":1427,"clock_position":1427,"value":573},{"alpha_index":1717,"clock_position":1717,"value":337}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-268","alpha_indices":[268,558,848,1138,1428,1718],"clock_positions":[268,558,848,1138,1428,1718],"native_values":[461,284,461,579,166,579],"rotation_degrees":55.44827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":268,"clock_position":268,"value":461},{"alpha_index":558,"clock_position":558,"value":284},{"alpha_index":848,"clock_position":848,"value":461},{"alpha_index":1138,"clock_position":1138,"value":579},{"alpha_index":1428,"clock_position":1428,"value":166},{"alpha_index":1718,"clock_position":1718,"value":579}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-269","alpha_indices":[269,559,849,1139,1429,1719],"clock_positions":[269,559,849,1139,1429,1719],"native_values":[149,31,444,31,149,326],"rotation_degrees":55.6551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":269,"clock_position":269,"value":149},{"alpha_index":559,"clock_position":559,"value":31},{"alpha_index":849,"clock_position":849,"value":444},{"alpha_index":1139,"clock_position":1139,"value":31},{"alpha_index":1429,"clock_position":1429,"value":149},{"alpha_index":1719,"clock_position":1719,"value":326}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-270","alpha_indices":[270,560,850,1140,1430,1720],"clock_positions":[270,560,850,1140,1430,1720],"native_values":[20,315,315,20,315,315],"rotation_degrees":55.86206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":270,"clock_position":270,"value":20},{"alpha_index":560,"clock_position":560,"value":315},{"alpha_index":850,"clock_position":850,"value":315},{"alpha_index":1140,"clock_position":1140,"value":20},{"alpha_index":1430,"clock_position":1430,"value":315},{"alpha_index":1720,"clock_position":1720,"value":315}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-271","alpha_indices":[271,561,851,1141,1431,1721],"clock_positions":[271,561,851,1141,1431,1721],"native_values":[169,346,169,51,464,51],"rotation_degrees":56.06896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":271,"clock_position":271,"value":169},{"alpha_index":561,"clock_position":561,"value":346},{"alpha_index":851,"clock_position":851,"value":169},{"alpha_index":1141,"clock_position":1141,"value":51},{"alpha_index":1431,"clock_position":1431,"value":464},{"alpha_index":1721,"clock_position":1721,"value":51}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-272","alpha_indices":[272,562,852,1142,1432,1722],"clock_positions":[272,562,852,1142,1432,1722],"native_values":[189,71,484,71,189,366],"rotation_degrees":56.275862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":272,"clock_position":272,"value":189},{"alpha_index":562,"clock_position":562,"value":71},{"alpha_index":852,"clock_position":852,"value":484},{"alpha_index":1142,"clock_position":1142,"value":71},{"alpha_index":1432,"clock_position":1432,"value":189},{"alpha_index":1722,"clock_position":1722,"value":366}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-273","alpha_indices":[273,563,853,1143,1433,1723],"clock_positions":[273,563,853,1143,1433,1723],"native_values":[358,417,63,122,63,417],"rotation_degrees":56.48275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":273,"clock_position":273,"value":358},{"alpha_index":563,"clock_position":563,"value":417},{"alpha_index":853,"clock_position":853,"value":63},{"alpha_index":1143,"clock_position":1143,"value":122},{"alpha_index":1433,"clock_position":1433,"value":63},{"alpha_index":1723,"clock_position":1723,"value":417}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-274","alpha_indices":[274,564,854,1144,1434,1724],"clock_positions":[274,564,854,1144,1434,1724],"native_values":[547,488,547,193,252,193],"rotation_degrees":56.689655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":274,"clock_position":274,"value":547},{"alpha_index":564,"clock_position":564,"value":488},{"alpha_index":854,"clock_position":854,"value":547},{"alpha_index":1144,"clock_position":1144,"value":193},{"alpha_index":1434,"clock_position":1434,"value":252},{"alpha_index":1724,"clock_position":1724,"value":193}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-275","alpha_indices":[275,565,855,1145,1435,1725],"clock_positions":[275,565,855,1145,1435,1725],"native_values":[315,315,20,315,315,20],"rotation_degrees":56.89655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":275,"clock_position":275,"value":315},{"alpha_index":565,"clock_position":565,"value":315},{"alpha_index":855,"clock_position":855,"value":20},{"alpha_index":1145,"clock_position":1145,"value":315},{"alpha_index":1435,"clock_position":1435,"value":315},{"alpha_index":1725,"clock_position":1725,"value":20}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-276","alpha_indices":[276,566,856,1146,1436,1726],"clock_positions":[276,566,856,1146,1436,1726],"native_values":[272,213,567,508,567,213],"rotation_degrees":57.10344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":276,"clock_position":276,"value":272},{"alpha_index":566,"clock_position":566,"value":213},{"alpha_index":856,"clock_position":856,"value":567},{"alpha_index":1146,"clock_position":1146,"value":508},{"alpha_index":1436,"clock_position":1436,"value":567},{"alpha_index":1726,"clock_position":1726,"value":213}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-277","alpha_indices":[277,567,857,1147,1437,1727],"clock_positions":[277,567,857,1147,1437,1727],"native_values":[587,528,587,233,292,233],"rotation_degrees":57.310344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":277,"clock_position":277,"value":587},{"alpha_index":567,"clock_position":567,"value":528},{"alpha_index":857,"clock_position":857,"value":587},{"alpha_index":1147,"clock_position":1147,"value":233},{"alpha_index":1437,"clock_position":1437,"value":292},{"alpha_index":1727,"clock_position":1727,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-278","alpha_indices":[278,568,858,1148,1438,1728],"clock_positions":[278,568,858,1148,1438,1728],"native_values":[269,151,564,151,269,446],"rotation_degrees":57.51724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":278,"clock_position":278,"value":269},{"alpha_index":568,"clock_position":568,"value":151},{"alpha_index":858,"clock_position":858,"value":564},{"alpha_index":1148,"clock_position":1148,"value":151},{"alpha_index":1438,"clock_position":1438,"value":269},{"alpha_index":1728,"clock_position":1728,"value":446}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-279","alpha_indices":[279,569,859,1149,1439,1729],"clock_positions":[279,569,859,1149,1439,1729],"native_values":[266,89,561,384,561,89],"rotation_degrees":57.724137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":279,"clock_position":279,"value":266},{"alpha_index":569,"clock_position":569,"value":89},{"alpha_index":859,"clock_position":859,"value":561},{"alpha_index":1149,"clock_position":1149,"value":384},{"alpha_index":1439,"clock_position":1439,"value":561},{"alpha_index":1729,"clock_position":1729,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-280","alpha_indices":[280,570,860,1150,1440,1730],"clock_positions":[280,570,860,1150,1440,1730],"native_values":[535,240,535,535,240,535],"rotation_degrees":57.93103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":280,"clock_position":280,"value":535},{"alpha_index":570,"clock_position":570,"value":240},{"alpha_index":860,"clock_position":860,"value":535},{"alpha_index":1150,"clock_position":1150,"value":535},{"alpha_index":1440,"clock_position":1440,"value":240},{"alpha_index":1730,"clock_position":1730,"value":535}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-281","alpha_indices":[281,571,861,1151,1441,1731],"clock_positions":[281,571,861,1151,1441,1731],"native_values":[211,329,506,329,211,34],"rotation_degrees":58.13793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":281,"clock_position":281,"value":211},{"alpha_index":571,"clock_position":571,"value":329},{"alpha_index":861,"clock_position":861,"value":506},{"alpha_index":1151,"clock_position":1151,"value":329},{"alpha_index":1441,"clock_position":1441,"value":211},{"alpha_index":1731,"clock_position":1731,"value":34}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-282","alpha_indices":[282,572,862,1152,1442,1732],"clock_positions":[282,572,862,1152,1442,1732],"native_values":[156,569,451,274,451,569],"rotation_degrees":58.3448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":282,"clock_position":282,"value":156},{"alpha_index":572,"clock_position":572,"value":569},{"alpha_index":862,"clock_position":862,"value":451},{"alpha_index":1152,"clock_position":1152,"value":274},{"alpha_index":1442,"clock_position":1442,"value":451},{"alpha_index":1732,"clock_position":1732,"value":569}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-283","alpha_indices":[283,573,863,1153,1443,1733],"clock_positions":[283,573,863,1153,1443,1733],"native_values":[367,308,367,13,72,13],"rotation_degrees":58.55172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":283,"clock_position":283,"value":367},{"alpha_index":573,"clock_position":573,"value":308},{"alpha_index":863,"clock_position":863,"value":367},{"alpha_index":1153,"clock_position":1153,"value":13},{"alpha_index":1443,"clock_position":1443,"value":72},{"alpha_index":1733,"clock_position":1733,"value":13}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-284","alpha_indices":[284,574,864,1154,1444,1734],"clock_positions":[284,574,864,1154,1444,1734],"native_values":[523,287,228,287,523,582],"rotation_degrees":58.758620689655174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":284,"clock_position":284,"value":523},{"alpha_index":574,"clock_position":574,"value":287},{"alpha_index":864,"clock_position":864,"value":228},{"alpha_index":1154,"clock_position":1154,"value":287},{"alpha_index":1444,"clock_position":1444,"value":523},{"alpha_index":1734,"clock_position":1734,"value":582}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-285","alpha_indices":[285,575,865,1155,1445,1735],"clock_positions":[285,575,865,1155,1445,1735],"native_values":[300,5,5,300,5,5],"rotation_degrees":58.96551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":285,"clock_position":285,"value":300},{"alpha_index":575,"clock_position":575,"value":5},{"alpha_index":865,"clock_position":865,"value":5},{"alpha_index":1155,"clock_position":1155,"value":300},{"alpha_index":1445,"clock_position":1445,"value":5},{"alpha_index":1735,"clock_position":1735,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-286","alpha_indices":[286,576,866,1156,1446,1736],"clock_positions":[286,576,866,1156,1446,1736],"native_values":[233,292,233,587,528,587],"rotation_degrees":59.172413793103445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":286,"clock_position":286,"value":233},{"alpha_index":576,"clock_position":576,"value":292},{"alpha_index":866,"clock_position":866,"value":233},{"alpha_index":1156,"clock_position":1156,"value":587},{"alpha_index":1446,"clock_position":1446,"value":528},{"alpha_index":1736,"clock_position":1736,"value":587}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-287","alpha_indices":[287,577,867,1157,1447,1737],"clock_positions":[287,577,867,1157,1447,1737],"native_values":[533,297,238,297,533,2],"rotation_degrees":59.37931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":287,"clock_position":287,"value":533},{"alpha_index":577,"clock_position":577,"value":297},{"alpha_index":867,"clock_position":867,"value":238},{"alpha_index":1157,"clock_position":1157,"value":297},{"alpha_index":1447,"clock_position":1447,"value":533},{"alpha_index":1737,"clock_position":1737,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-288","alpha_indices":[288,578,868,1158,1448,1738],"clock_positions":[288,578,868,1158,1448,1738],"native_values":[176,589,471,294,471,589],"rotation_degrees":59.58620689655172,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":288,"clock_position":288,"value":176},{"alpha_index":578,"clock_position":578,"value":589},{"alpha_index":868,"clock_position":868,"value":471},{"alpha_index":1158,"clock_position":1158,"value":294},{"alpha_index":1448,"clock_position":1448,"value":471},{"alpha_index":1738,"clock_position":1738,"value":589}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-289","alpha_indices":[289,579,869,1159,1449,1739],"clock_positions":[289,579,869,1159,1449,1739],"native_values":[119,296,119,1,414,1],"rotation_degrees":59.793103448275865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":289,"clock_position":289,"value":119},{"alpha_index":579,"clock_position":579,"value":296},{"alpha_index":869,"clock_position":869,"value":119},{"alpha_index":1159,"clock_position":1159,"value":1},{"alpha_index":1449,"clock_position":1449,"value":414},{"alpha_index":1739,"clock_position":1739,"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/m590/alpha.svg","png":"pilot-v1/views/m590/alpha.png"},{"id":"beta","name":"Beta","svg":"pilot-v1/views/m590/beta.svg","png":"pilot-v1/views/m590/beta.png"},{"id":"gamma","name":"Gamma","svg":"pilot-v1/views/m590/gamma.svg","png":"pilot-v1/views/m590/gamma.png"},{"id":"fibonacci-m590p1740","name":"Fibonacci M590P1740","svg":"pilot-v1/views/m590/fibonacci-m590p1740.svg","png":"pilot-v1/views/m590/fibonacci-m590p1740.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}}